diff --git "a/data/dm_maths/full_data_2/11032_11255.jsonl" "b/data/dm_maths/full_data_2/11032_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11032_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the common denominator of -145\/6 and (-105)\/(-18) - (-2 + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from tnnooooooonoro.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 3504 (b) -14 (c) 0 (d) 1\/3 (e) 2\/33 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441*t - 1636 = -45*t + 77*t. Factor -106\/3*p + 3*p**t + 205\/3*p**2 - 32*p**3 + 16\/3.\nAnswer: (p - 8)*(p - 2)*(3*p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/9*(-13)\/26?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28801, 57770, 86739?\nAnswer: 115708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n - 18. Let j be f(-9). Let x = -7889\/22 - -715\/2. Which is greater: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**5\/120 - g**4\/6 + 175*g - 2. Find a such that q(a) = 0.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**5 + 11*x**5 - x**5 + (-3 + 3 - x**2)*(-3*x + 3*x - 2*x**3).\nAnswer: 14*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12\/(-10)*(0 + (-1640)\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -9*i**3 + 36*i**2 + 5*i + 3. Let n be v(4). Solve 5 = -4*j - 7*y - n, -y - 4 = 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*r - 15. Suppose -9 + 1 = -r*c. Calculate the common denominator of 1\/c - 670\/(-280) and -69\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2998, 11986, 26964, 47932, 74890, 107838?\n\"Answer: 2995*p**2 + 3*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2. Let w(n) = 109416 + 407*n - 109416. Calculate w(l(p)).\nAnswer: 814*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 4162.06236\nAnswer: 4161.96236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -95.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -23. Suppose -141 = -v*s + u, -4*s + 72 = u - 75. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 62 in decreasing order.\nAnswer: 62, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(13\/4)\/h)*h**(-2\/31))\/(h**5)**(16\/3) assuming h is positive.\nAnswer: h**(-10409\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37525*j**2 + 19111*j**2 + 19024*j**2.\nAnswer: 610*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 9*i**2 - 23*i + 325. Give u(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*z**2\/7 + 404994*z\/7 + 16650141\/7 = 0. What is z?\nAnswer: -41, 135367\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(0*x + x + 4*x)*(63 - 23 + 97).\nAnswer: 1370*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/8*(-4)\/6. What is the second derivative of 0*g**2 + 5*g + 8*g**2 - u*g**2 wrt g?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(14\/3)*q*q**(9\/8))\/(q**19*(q\/q**(-13))\/q))**40 assuming q is positive.\nAnswer: q**(-3025\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1516132.9999176 - 1516130. Let d = 3 - y. Round d to six dps.\nAnswer: 0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2784308919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 28*c**2. Let p(s) = -289*s**2 + 148*s**2 + 143*s**2. Determine p(q(l)).\nAnswer: 1568*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -46 - 1130*a - 42 - 52 + 190 - 48 in the form x*a + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(3)*-1))\/(sqrt(3) + sqrt(60)\/sqrt(5)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 118210209?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1457, 5851, 13169, 23411?\n\"Answer: 1462*n**2 + 8*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l - 6. Suppose 0 = -l*b + 7*b - 35. What is the greatest common divisor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 79*o - 14. Let z(v) = -714*v. What is z(h(d))?\nAnswer: -714*d**2 + 56406*d + 9996","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**5 - 60*t**4 - 248*t**3 - 136*t**2 + 252*t + 196 = 0. Calculate t.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30699416753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 286 + 15\/(210\/(-154)). Calculate the greatest common factor of 605 and x.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 796 - 862. Sort 5, -2, c, -1 in increasing order.\nAnswer: c, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 20. Suppose g = -5*p + 14, 2*p - 2*g + 2 = -j. Solve -2*i - p*n = 0, -i + 0*i + 4*n = 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11740 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: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**3 + 0*c**3 + 2*c**3)*(1 - 3 + 0)*(-2*c + c + 0*c).\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 + -42. Let d(v) = -v**3 - 2. Suppose 3*i + i + 18 = 5*z, -4*z + 4 = 2*i. What is the smallest common multiple of f and d(i)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6378253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n + n - 5*n)*(-9*n - 3*n + 6*n) + (-58*n - 81*n - 12*n)*(7*n + 3*n - 2*n) in the form z*n**2 + k*n + b and give z.\nAnswer: -1196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 913 and 2817103.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*x + g - 1, -4*x = g + 9. Let j be 33\/84 + x\/4. What is the second biggest value in 0, -25, 2\/9, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 77.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -46086 and 5237?\nAnswer: -241352382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(875)*-1)\/(sqrt(77)\/sqrt(275)) - ((sqrt(80) - (sqrt(80) + 0 + 1)) + sqrt(80) - (2 + sqrt(80) + -3 + sqrt(80)))**2).\nAnswer: 75*sqrt(5) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1584) + 5 - (sqrt(11) - (sqrt(88) - (sqrt(88)*-1 - sqrt(88)) - sqrt(88))\/sqrt(8))*6)**2.\nAnswer: 144*sqrt(11) + 3580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/480*3*-12.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q*s**2 + q*s - 421*q - 9035*s**2 + 7*s wrt s?\nAnswer: 4*q - 18070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -256438*m**5\/9 + 1624106*m**4 - 92573890*m**3\/3 + 1758895246*m**2\/9 + 27436*m\/3 = 0.\nAnswer: -6\/128219, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, k: 3, u: 2, s: 1, z: 5}. Give prob of picking 3 z.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34\/19*t**4 + 0 - 8\/19*t**5 - 8\/19*t**3 + 0*t**2 + 0*t.\nAnswer: -2*t**3*(t - 4)*(4*t - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/14 and -69\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 72891 divided by 21?\nAnswer: 3471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = 17709010 + 6170990. Round x to the nearest 100000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 640 - 1548. Let b = s + 912. What is the third smallest value in b, -74, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 284 divide 499840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**4 - 3*p**3 + p**2 - p + 1. Let j(q) = 11*q**4 - 21*q**3 - 38*q**2 + 3*q - 3. Let x(r) = j(r) + 3*n(r). Factor x(t).\nAnswer: 5*t**2*(t - 7)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-20) + (-24)\/5 + 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-5 - (-43 + -5)) - ((-18 - -35) + -18)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2965 + 421. Is 2\/14 - p\/28 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2436463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 577, 1117, 1657, 2197?\n\"Answer: 540*f + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/9*3\/2. Suppose -n = -4 + f. Suppose -r = -n*r. Solve r = -2*q - 0 + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/430 and -43\/2.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ceeecycecyypceyyc. What is prob of picking 1 y and 1 c?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2, -133, -436, -991, -1882, -3193, -5008, -7411?\n\"Answer: -14*k**3 - 37*k + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -545a (base 12) to base 16.\nAnswer: -2446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3048545073.\nAnswer: 3, 7, 145168813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 920, 1838, 2744, 3638?\nAnswer: 4520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3564223 + -2860977?\nAnswer: -2860976.6435777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2194 - 2208. Let c(g) = -g**3 + 6*g**2 - 4*g - 2. Let m be c(6). Let y be -3 - -3*m\/6. Is n at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13836 - -18924. Calculate the lowest common multiple of 44 and n.\nAnswer: 55968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2. Let n(u) = 6*u - 4*u - 8*u - u**2 - 16*u. What is n(i(v))?\nAnswer: -4*v**4 + 44*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8049 rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7765 - 7399. What is the remainder when m is divided by 161?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (5 + -10 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.89795111 plus 67360?\nAnswer: 67347.10204889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/4*16\/6. Let d be ((-2)\/j)\/((-1)\/3). Let z be ((-2)\/(-26))\/(8 + -9). Is z > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 11:41 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-1 - 1 - -1). Let i = x + 7. Suppose -i*m + 315 + 400 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 16) in base 14?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 45\/10*20\/(-6). Let y = f - -10. Let m(i) = -i**3 + 3*i**2 + i - 4. Is m(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -1 - (-8 + -2 + 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 4 - 3) + 3 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (78 + 204 + 101 + 468)*(0*z**2 + z - 2*z - 3 + 2*z**2) as u*z**2 + p + o*z and give u.\nAnswer: 1702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 6:56 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 180024583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-55)\/10)\/(-11)*1146. Suppose r + 3*f = f + 191, 3*r + 2*f = a. Does 32 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-1))**(-17\/4)*z**(-2)*z*z*z\/(z\/(z*z**(6\/5))) assuming z is positive.\nAnswer: z**(-211\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 156.88983 rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in -1, -5, -4, -3, -4054?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30 + -b03?\nAnswer: -b33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (290 - 101) + -4 + (0 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1497 greater than or equal to 166.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 14 = -j, 2*j + 2*s - 1 + 5 = 0. Suppose -j*a - 62316 = -5*a. Suppose 3*i = a + 41628. What is i rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 6*v**2 + 3*v + 1. Let c = -31 - -36. What is k(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 539342387949?\nAnswer: 539342387949.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*-2 - sqrt(8))\/(-2*sqrt(196)).\nAnswer: 11*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 5*c + 12. Let s be y(-15). Suppose 17*u = 15*u + s. What are the prime factors of u?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4065 is divided by 86.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -16, -52, -112, -202, -328, -496?\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h + 553*h + 247*h + 31435 = -5272 for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*w - 3*u - 7, 0 = -4*w - u + 4. Suppose 0 = w*m + 2*d - 6 - 64, -3*m = 2*d - 100. What is the remainder when 87 is divided by m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -1.9, 6, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2440ba0 (base 12) to base 2.\nAnswer: -11010111001101010101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 639173.61ns in hours?\nAnswer: 0.000000177548225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3.082639 decades?\nAnswer: 0.03082639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juuu. Give prob of sequence uuu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -358550 - -509199. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 9:53 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 150 = 3*y, -4*x + 38 = y + 4. Is y smaller than 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by 2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 231077199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 2*23*(-15669)\/5223*((-4)\/(-6))\/2?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 3*t + 2. Suppose 0 = -2*r - 2 - 4. Suppose 2*i + 5 = -3*a, -3*a - i - 10 = a. Let y be r\/2*(-4)\/a. Calculate h(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + -1.7. Let g = a - -2.8. Let n = 1.00015 - g. What is n rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12 + (-534)\/30 + 5. What is the closest to 0.1 in 4\/31, t, -2, 0.5?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9032239*u**3*w*x + 4*u**3*w + 65*u**2*w + 58*u*w + 24*u + 2*w with respect to x.\nAnswer: 9032239*u**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*j**2*v**2 - 5*j**2*v + 113*j*v + 908*v**2 - 20 wrt j?\nAnswer: -14*j*v**2 - 10*j*v + 113*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0, -0.5, -344?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3 + 4*l - 4*l - 4*l. What is the units digit of g(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -5, -3, -4.\nAnswer: -5, -4, -3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 49524*x - 643643.\nAnswer: -(x + 13)*(x + 49511)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64189*c**3*s + 8*c*s - 938*s wrt c?\nAnswer: 385134*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 117530505 = 4*h - 52107526, -2*f + 67855217 = -3*h. Suppose -2*l - f - 36872393 = 0. Round l to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1050, -782, -510, -234?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**6\/90 - w**5\/120 - 11*w**4\/24 - 11*w**2. Let m(c) be the second derivative of p(c). Is m(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 27*i**2 + 33*i - 604. Determine l(27).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 371 = 2*x + 834, 0 = 4*u - 2*x - 1606. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, 0.4, -0.2, 14\/391, 2, -2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -5*(-36)\/(-30).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**7\/252 + t**6\/36 + t**5\/40 - 5*t**4\/72 - t**3\/9 + 5*t. Factor q(o).\nAnswer: o*(o - 1)*(o + 1)**2*(o + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 29 - 4 = 0. Suppose 3*r - z = 680, -3*r - 444 = -p*r - 4*z. Suppose -104 = -5*b + r. What is the greatest common factor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6582714 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -36. Which is the closest to n? (a) 1\/5 (b) 0.7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 640 = -5*y - 4*c - c, 0 = -5*y - c - 632. What is the remainder when 4\/3*y\/(-12) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwjjmtwmjmttjjtwwtmm. Give prob of picking 1 t and 2 w.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (11 - 14)\/(-4 - 15\/(-6)). Let a(z) = -z**2 + 2*z + 1. What is a(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by -2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 4:17 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 61337561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4, 2*t - 2*o - 2*o - 6 = 0. Let g(h) = -12 + 2*h - 3 - 4*h + h. Let l be g(-11). Sort t, 6, l.\nAnswer: t, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3. Let y = j + 4. Calculate the greatest common divisor of 32 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1086241 rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 10*i + 8. Let u be w(10). Let y(m) = 2*m + 18. What are the prime factors of y(u)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*k**2 + 57*k**2 - 27*k**2 - 18*k**2.\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6*a**2 + 13*a + 6. Let b be k(-8). Let i = 33 - 7. What is the greatest common factor of i and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -48. Find the third derivative of 6*n**6 + d*n**6 + 3*n**2 + 2 - 7*n**6 - 20*n**2 wrt n.\nAnswer: 3120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1423656 is divided by 56933.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - f**2 - 12. Let b(l) = 68*l**3 + 10*l**2 - 18*l - 2887. Let a(c) = -b(c) - 10*h(c). Differentiate a(k) wrt k.\nAnswer: -234*k**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 1:31 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1002371?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6*f. Let k be (-6 - (-22)\/4)\/(1\/4). Let m(i) be the third derivative of -5*i**4\/24 - 2*i**2. Let s be 1*(-3 + 1 - 1). Give k*j(h) + s*m(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*w + 2. Suppose -c - 2*b + w = 0, 0 = -3*b + 5*b - 4. Let h = 0.51 + 0.19. What is the nearest to c in h, -1\/2, -5\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80498.\nAnswer: 2, 11, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*p - 9*z + 7*z, 3*p - 2*z = 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h - 1. Let c(g) be the first derivative of g**4\/24 + g**3\/6 - 7*g**2\/2 + 1. Let s(z) be the second derivative of c(z). What is 3*s(d) + 2*x(d)?\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10293*b**5 + 118*b**4 - b**3 + 2*b**2 - 3422030?\nAnswer: -617580*b**2 + 2832*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5291 (base 12) to base 16\nAnswer: 234d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 27928 and -2791 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 173847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 16*s**6\/105 + 88*s**5\/105 + 5*s**4\/4 + 6*s**3\/7 + 64*s**2. Factor w(k).\nAnswer: 2*(k + 2)*(8*k + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3*(-5)\/(-10))\/((-3)\/8). Solve 0 = -6*g + z*g + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 218 - 428 + 202 + 128*w. What is the hundreds digit of d(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 166*v**2 - 58*v - 1257. What is the ten thousands digit of u(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 311619?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4830)\/111 + 5320\/133 - 7\/(-2)?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**2*h**2 + 22*f**2*h - 402474338*f**2 - 420813*h**2 wrt h?\nAnswer: 4*f**2*h + 22*f**2 - 841626*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2. Let m(q) = -q**2 + 2*q + 2. Let y(b) = -9*b**2 - 5*b + 8. Let w = 864 - 863. Let f(x) = w*y(x) - 4*m(x). Give f(h(r)).\nAnswer: -20*r**4 + 26*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 70, 93, 152, 265, 450, 725, 1108, 1617?\n\"Answer: 3*u**3 + 2*u + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/328 and -59\/205.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 920 and 480.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -962 (base 10) in base 16?\nAnswer: -3c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and -3.048?\nAnswer: 45.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 38 = 285728*a - 285726*a + 46, -4*i - 5 = 2*a + 67 for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 16 + 6 = 0. Calculate the greatest common factor of l and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*u + 28 = 0, -3*u = -4*l - u + 46. Suppose 15*s - 5*s = l. Let m be 0 + 11 - (-1 + 3 - s). Is -2 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 h when four letters picked without replacement from {h: 2, g: 1, c: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 323 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150\/(-45)*3*-1*83\/166.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.96 + 42.96. Let u = 38.5 - c. Let b = u - -3.6. Which is smaller: 11 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3758.9994997 - 3759. Round k to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 + 248 = -139*k - 376 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 236 = -k + 3*k, 3*k - 374 = -2*m. Suppose 0*j - j = -q + k, -3*j = -5*q + 650. Let f be (-38)\/q - (-19)\/(-7). Is f at least as big as -23\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*s + 131 = 0, 2*s + 0*s + 90 = -2*u. What is the remainder when (-10)\/(-6)*(u + 86) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b - 16*b + 6 = 2*s, -2*s = 5*b + 10. Solve 2 = -3*a - 4*c - 3, -3*a - s*c = 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 8. Let u be y(-10). Let p be (-1)\/((u\/(-6))\/(-1)). Solve p = -4*l + 3*v, -3*l - 7*v = -3*v - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + 5*c**2 - 7 + 10 + 2944*c**3 - c**4 - 2945*c**3 to the form y + g*c + r*c**3 + o*c**4 + x*c**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -4*y - 22 + 3, 3*o = 3*y + 18 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51031438 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7810 * -1.188\nAnswer: 9278.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 22594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 5*p + 2. Suppose -5*m = -8*f + 3*f, -5*f - 5*m + 50 = 0. What is the lowest common multiple of u(f) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/(-10 - (42672\/(-1040) - -31)).\nAnswer: -65\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 16*n + 390. Let v(k) = -13*k - 387. What is 5*v(c) + 4*z(c)?\nAnswer: -c - 375","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.3 + -3.9. Let r = 3.1 + j. Suppose 0 = -5*c + 2*c. Put r, c, -1\/2 in descending order.\nAnswer: r, c, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 10*p - 10. Let h(u) = 120*u - 120. Let t(n) = 25*f(n) - 2*h(n). What is the remainder when 119 is divided by t(4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, b: 3, o: 2}. What is prob of picking 3 u and 1 b?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, g: 5, s: 1, q: 1, e: 1}. Give prob of picking 1 m, 1 e, and 1 g.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3 + 207921*q**2 + 1455246*q - 3742200 = 0. What is q?\nAnswer: -69300, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11665 + -9680. List the prime factors of b.\nAnswer: 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7177 + -7169. Put b, 0, 4, -15 in decreasing order.\nAnswer: b, 4, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -6. Let n(u) = -u**3 + 3*u**2 + u. Let d be n(3). What is the least common multiple of 3 + (-1 - d) + h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-90)\/(-4)*8568\/140. Suppose q = 3*y + 2*z + z, -2*y - 3*z = -915. Calculate the greatest common divisor of 84 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4 - 4. Let q = d + 65. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2598*l + 2552*l - 736 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52 + -34. Let m be (a\/(-8))\/(45\/1320). Does 18 divide m\/(-4 - -2) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/52 + 2\/(-4). Let h be -10*2\/7 + 3. What is the nearest to -4 in d, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 6*w**2 - 3*w - 3. Let c(x) = -2*x**2 - 2*x - 2. Let b be c(-2). List the prime factors of q(b).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17464, -34927, -52390?\n\"Answer: -17463*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002817 rounded to six dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 10 - 4 = 0. What is the nearest to j in -0.2, 3, -0.6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-960)\/(-7))\/(-5) - (-36)\/(-63). Is (2 - 5683\/7)\/(k\/196) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-72)\/(-126) - (-11)\/(-7). Let u be 2 + j + 107 + -1. Let a = -74 + u. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7166*n - 6596*n + 29640 for n.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2862\/1627?\nAnswer: -2862\/1627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v - 7 = -24. Suppose 8 = 9*s - v. Which is smaller: s or -3\/146?\nAnswer: -3\/146","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542052811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 13. Let p be ((-4)\/(-12))\/(t\/(-4)). What is the closest to 2\/7 in -2, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0*3\/6)\/((-270)\/135)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -153*g + 7. Let o be m(-1). Let s be -168*(o\/(-56) + 2). Calculate the highest common factor of s and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36 - 4*z + 17*z + 36)*(-1 + 3 - 1)*(4 + 4 - 3) in the form f + h*z and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 830.8483 millilitres in litres?\nAnswer: 0.8308483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -397*s + 420*s + 50301. Round s to the nearest 10.\nAnswer: -2190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - 26\/(-8) - (-3143)\/4. Let b be r\/(-39) + (-1)\/(39\/(-6)). Calculate the common denominator of (92\/2)\/(b\/15) and -11\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2149*w = -2146*w - 180219. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1\/50, 2, 1\/5, -3?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38293 and 49021?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 3*j - 17 = 0, j = -2*d + 726093 - 726092 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 5*d - p, -3*d + 2 = 3*p + p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 1671540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 6*h - 18. Suppose -7*k = -3*k - h. What is the lowest common multiple of 18 and k\/(((-10)\/14)\/(-5))?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 1939, 0, -39, 3 in ascending order.\nAnswer: -39, -4, 0, 1, 3, 1939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**3\/6 + 11*q - 2. Let g(m) = 2*m**2 + 2*m + 1. Give 2*g(l) + 2*w(l).\nAnswer: 4*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4699\/4 + 1175. Which is the closest to g? (a) -4 (b) 0 (c) 5 (d) -0.065\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79406, -158766, -238126, -317486, -396846, -476206?\nAnswer: -555566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 716.8 - 717. Let o(t) = t - 3. Let y be o(3). What is the closest to s in y, 0.3, 0.04?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.12 - 0.12. Let h = -19.6 + s. Let i be 20\/770*11 - 0. Which is the smallest value? (a) -0.5 (b) i (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, y: 1, f: 2, d: 1, n: 11}. What is prob of picking 1 j, 1 n, and 1 d?\nAnswer: 11\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 5, y: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 599 + -557. What is the greatest common factor of s and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42676 to the nearest one hundred.\nAnswer: 42700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of d**5\/60 + d**4\/6 - d**3\/6 + 4*d**2 + 10*d. Let f(g) be the first derivative of t(g). Calculate f(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 34207444 and -0.4.\nAnswer: 34207443.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6755, 13513, 20271, 27029?\nAnswer: 33787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.57 - 0.07. Let i = d + -0.3. Which is the biggest value? (a) i (b) -1 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200\/(-26) - 640\/3328*(-8)\/(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 742, 738, 734, 730, 726?\nAnswer: 722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 5. Let p be m(-8). Let n be 2\/12*-1*(-3)\/(-2). Which is the nearest to 1? (a) -0.3 (b) n (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6293 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*i**2 + 59*i**2 + 71*i**2 + 63*i**2 - 282*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*h + 633*h + 5*h)*(-11 - 8 - 7)*(-5*h**2 + h**4 + 5*h**2).\nAnswer: -16016*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -38*k. Let n(i) = -3723*i**2 + 1. What is n(c(w))?\nAnswer: -5376012*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -50. Suppose 5*m + 4*n + 23 = 0, 3*m + 15 = -4*n - j. Put 4, m, 0, -5 in decreasing order.\nAnswer: 4, 0, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 - 48*x**2 + 4*x + 48.\nAnswer: -4*(x - 1)*(x + 1)*(x + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 65421385?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*74.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvzzzvzzzzzzyzzzzz. What is prob of picking 1 q and 3 z?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Does 43302\/107 = 405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 15. Suppose -w - 1 = -r. Let q(m) = -8*m + 1. Give q(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, p: 9}. Give prob of picking 4 p.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*sqrt(1377)*-1 + -4)**2.\nAnswer: -12409 + 216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (403\/728)\/(191\/10696).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p. Suppose -2*n + 8 = 5*k, -n + 3*k = -2*n + 6. Let q(i) be the first derivative of -7*i**2\/2 + 6*i + 562. Give n*h(b) - q(b).\nAnswer: b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**3 + 62*i**2 + 91*i - 277. Determine l(33).\nAnswer: -1630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2627+82344\nAnswer: 84971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 23\/40*u**6 + 2*u**5 + 0*u**3 + 275*u**2 + 3\/2*u**4 - 1\/14*u**7 + 0*u + 0. Factor q(s).\nAnswer: -3*s*(s - 6)*(s + 1)*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -85063*s. Let z(d) = -14*d. What is z(f(v))?\nAnswer: 1190882*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3))**(2\/17)*(h**(-1\/4))**(2\/23) assuming h is positive.\nAnswer: h**(-293\/782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -160*c**2 - 1474*c + 1251. Calculate b(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 82?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -597 - -610. Suppose 2*r - f = -3*w, 6*w - 3*w = -4*r + 29. Calculate the remainder when 213 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467860782 a multiple of 1831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -181569 + 2?\nAnswer: -181567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 36004.463\nAnswer: -72008.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*r = 10, -146*n + 142*n + 6*r - 12 = 0. What is the fifth biggest value in 11, -5, -2\/11, n, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 15*d**2 + 1. Suppose -8*k = -12*k + 8. Suppose 5*n - 4 = g, g + k*n = 3*g. Calculate the remainder when 30 is divided by t(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a micrometer in nanometers?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -10*r**3 + 4*r**2 + r - 17. Give q(2).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6*z + 3*z + 8*z)*(0 - 2 + 0).\nAnswer: -10*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3, 4, 3\/8, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2349\/5 - -470. Let s = -8.3 - -2.3. Put -0.3, n, -0.4, s in increasing order.\nAnswer: s, -0.4, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -298896668 bigger than -298896668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 3*w - 2*w**3)*(-38 - 182 + 456).\nAnswer: -472*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18432, 73756, 165950, 295008, 460924?\n\"Answer: -m**3 + 18441*m**2 + 8*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, -1, 22 in descending order.\nAnswer: 22, 3, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3511 (base 8) in base 6?\nAnswer: 12345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28200, -28340, -28530, -28794, -29156?\nAnswer: -29640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1885 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -4*g**3\/7 - 191*g**2\/7 + 64*g\/7 - 3890. Find z, given that h(z) = 0.\nAnswer: -32, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a + 28. Let s(o) = 14*o. What is s(v(i))?\nAnswer: -28*i + 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m + 1 - 1. Let r(u) = -2 - 2*u + 1 + 1. What is d(r(o))?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-9))\/((-96)\/(-3600))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(189)*2*-1)\/(sqrt(35)\/(sqrt(5)*-2)))\/(2*(sqrt(54)\/sqrt(6)*2 - (1*sqrt(81) + sqrt(81) + sqrt(9)))))**2.\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 3*a**2 - 15*a + 18*a - 9*a**2.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 16 + 8. Suppose 665 = y*z - 79. What is the second derivative of 84*u + 45*u**3 - 152*u + z*u wrt u?\nAnswer: 270*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/5)\/(-4)*4330\/(-14722)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-14) - (21726\/(-42) + -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14570935079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**4*u**3 + 642*r**3*u**3 - 3*r*u**3 - 10977*r*u**2 wrt r.\nAnswer: -12*r**2*u**3 + 3852*r*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k - 18 = -4*j, 0 = j - 3*k - 9. Suppose 5*i + 2 = -j. Let t be 1*(2 - (-8)\/(-2)). Is i greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.028, -0.4, -2\/329, 2, -301?\nAnswer: -301","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1001001011000111010110 (base 2) to base 14\nAnswer: 468570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/9 and 39\/4897?\nAnswer: 44073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 175.2 * 1\nAnswer: 175.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 526441 = -3*c - 4*z, 4*c + 5*z + 321107 = -380813. Let p = c + 258475. Round p to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**3 - 2*y**2 - 2. Let b(m) = -m**3 + m**2 + m. Let r(o) = -2*o + 10. Let d be r(4). Calculate d*b(a) + i(a).\nAnswer: a**3 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.4 - 7. What is the second smallest value in g, 0, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1044 = -u, -169*t + 170*t + u - 344 = 0. Calculate the lowest common multiple of t and 45.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010101101 (base 2) to base 7\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 - -315. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3 - 2\/(-2). Let k = 4.1443 + -5.1443. What is the nearest to -1 in 0.4, s, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9676\/697 - 4\/(-34))\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7191721\/312 - -23050. What is the common denominator of v and -71\/24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -28\/219 (b) 0.08 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by 18?\nAnswer: -41\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -6 (b) -5 (c) -2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, -1, -1\/2, 65?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 108*x**2 + 3*x - 7. Let o be q(-4). Let t(w) = -1709 + o - 19*w. Let v(i) = 2*i. Calculate t(v(z)).\nAnswer: -38*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -y - 8 + 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -10*g**3 - 14*g**2 + 7*g + 1006. Let m(w) = 3*w**3 + 4*w**2 - 2*w - 336. What is -7*m(x) - 2*q(x)?\nAnswer: -x**3 + 340","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = -p, -p = -5*p + 3*z - 13. Let i be (-4)\/((-475)\/(-120) + p). Suppose 12 = 4*h - i. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175753 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 414572 to the power of 1\/2, to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181761?\nAnswer: 3, 43, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 2\/9, 0.5, -3.3 in decreasing order.\nAnswer: 0.6, 0.5, 2\/9, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2\/113, 0.34, 6 in decreasing order.\nAnswer: 6, 0.34, -2\/113, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*3\/36)\/(501\/(-420) + (-12)\/(-84)).\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(209)*1 - 2*(sqrt(209) + (sqrt(209) - (sqrt(209) - (1*sqrt(209) + sqrt(209))))))\/((sqrt(11) + sqrt(99))*6 + -6*1*sqrt(11)).\nAnswer: -7*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 934351?\nAnswer: 11, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 0*x**3 + 11\/2*x**2 - 17*x + 1\/20*x**5 + 0 + 7\/4*x**4. Is f(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/4 + 2\/8. Let h be 3*2*(-1)\/(-2). Suppose 5*m = -5*q - 15, m - 3*m = 5*q + h. Is n at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 1147, 2774, 5031, 7918?\nAnswer: 11435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 263 + -260. Solve -26*f + n = -23*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -11*q**2 + 1334*q - 4245. Calculate t(118).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 1. Let m(x) = 6*x**3 - 5*x**2 + 5*x - 4. Let u(g) = g**3 - g**2 + g - 1. Let r(z) = m(z) - 5*u(z). What is 2*k(w) - r(w)?\nAnswer: w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3870\/(-40) + (-3)\/(-4). Let s be (-12)\/(-30) - a\/10. Calculate the greatest common factor of 15 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3739 or 0?\nAnswer: 2\/3739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 12*t - 10. Let l be r(-7). Suppose -l = 5*a, p + 2*p - 362 = -2*a. Does 14 divide (1\/2)\/(2\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiimiiiieiimmiiiiiii. Give prob of picking 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 4*m + 13 = -7*d, 0 = -3*d - 4*m + 5. Let n(s) = 3*s + 1. Let z be n(1). Factor 3*t - 4*t**d + 5*t + z - 3*t**3 - t**3 - 4*t**4.\nAnswer: -4*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 51\/(13 + (-13538)\/1043). Calculate the greatest common divisor of j and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 7. Let n = 9 + 13. What is the least common multiple of x and n?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2*sqrt(1700) + 4 - 4*sqrt(1700)*3)*-3 + -1)**2*-3.\nAnswer: -131040*sqrt(17) + 35987628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (154\/(-35))\/((-1)\/5*1). Suppose i*v + 0*v - 6182 = 0. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (140\/(-45))\/(-7) + 170\/(-18). Let u(r) = r**3 + 10*r**2 + 16*r + 65. Let h be u(w). Solve h = 3*m + 2*o + 16, -2*o - 10 = 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/11 + 58*j**2\/11 + 140*j\/11 - 496\/11.\nAnswer: -2*(j - 31)*(j - 2)*(j + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-110) + 18\/99)\/2\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 1. Let u(i) = -7*i**2 + 4*i + 4. What is -4*p(z) - u(z)?\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.4 - -2.4. Let l = k - -15. Which is the third smallest value? (a) 2 (b) -2\/9 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523587391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 8 = 4*o, 52*i - o - 11 = 50*i. Let l be i\/1 + -7 - 88\/(-33). Put 29\/7, l, 0 in increasing order.\nAnswer: l, 0, 29\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, n: 1, j: 3, u: 10}. Give prob of picking 1 u and 2 y.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 - 5.3. Let w = 4.5 + p. Let k be 1 + (272\/152)\/(-2). Which is the closest to 17? (a) w (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 194*q - 3. Let m(h) = 94*h - 1. Determine 2*c(x) - 5*m(x).\nAnswer: -82*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*(-5 + (sqrt(204) - sqrt(204)*-1*-3)\/(sqrt(12) + sqrt(60)\/(sqrt(5)*2) + sqrt(12))) + -3)**2.\nAnswer: 704*sqrt(17) + 3024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, -1\/6, -3\/2, 0.04, -720 in decreasing order.\nAnswer: 3, 0.04, -1\/6, -3\/2, -6, -720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2 = -2*m - 4*p, 0 = -p. Let v(u) = 740*u**2 + u + 1. Let y be v(m). Suppose 0 = 3*b - b - y. Round b to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + sqrt(1300)*2).\nAnswer: -80*sqrt(13) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 4*a**2 - 1 + 2*a**2 - 10*a**2 - 10*a**2 + 2*a**2 + (2*a**2 + a**2 - 4*a**2)*(1 - 4 + 5) - 1 + 1 - a**2 to the form j + f*a**2 + s*a and give f.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n**(-1\/11)*n)\/n))**(-2\/99)\/(n\/n**(-3\/22)*n**(-7\/3)) assuming n is positive.\nAnswer: n**(853\/726)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223, -222, -221, -220, -219?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 292 - 235. Suppose -4*t - 639 = -j + u, -j = -3*t - 701. Is j a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.057*-7\nAnswer: -0.399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/2, 0.051, -0.4, 23\/7, -5?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1, -7, -11, 0 in increasing order.\nAnswer: -11, -10, -7, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: 1171208 divided by -3\nAnswer: -1171208\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 220409 and -1.\nAnswer: -220409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-6)\/(a**(-4\/3)*a)*(a**(-18)\/a)\/(a\/a**2) assuming a is positive.\nAnswer: a**(-71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12558 divided by 5.\nAnswer: -12558\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 357846 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 7*b**2 + b - 7. Let g be y(7). Does 9 divide 7*(g + 0 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -122 + 124. Let d(t) = -t - 2. Let b be d(-2). What is the tens digit of 29 - (3 - b) - i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 120*i + 42. Let r be o(-5). Let x = -228 - r. Does 48 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 49*u + 14. Let w be l(-6). Calculate the remainder when w\/(-12) - (10\/(-6) - -1) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74 - -78. Solve -4*u + 8*u = o*b, 0 = -4*b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7003.089 meters?\nAnswer: 7003089000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*n + 10*n + 2*p + 104, 3*p - 507 = 5*n. Let q = n + 125. Calculate the remainder when 59 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4548*d - 4543*d = 32, 0 = 5*p - 2*d - 43. Let i(b) = b**3 - 7*b**2 - 15*b - 30. Calculate i(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0138 at least as big as -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (-26)\/(-10)) + 2. Let x be 65\/(-585)*(-54)\/12. What is the closest to k in -3, -3\/2, x, -31?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3611248 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o - 844 = 0. Suppose -w - o = -19. Is 12\/(-30) - w\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = g + 1226, 3*y = -4*g + 2448 + 1216. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 12*s - 74. Let l(i) = 4*i - 25. Let r(w) = -6*d(w) + 17*l(w). Let q be r(4). Let o(t) = 4*t - 8. Let y be o(q). Solve v - y = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-3))\/((-294)\/(-14))\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/18 - 136\/(-36). Solve 0 = -h*q + 14 + 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 d when three letters picked without replacement from {g: 3, k: 1, d: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45424259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -5, 18076, -3, -1 in descending order.\nAnswer: 18076, 2, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/3)\/((-3)\/((-1170)\/(-20))). Let z(q) = -q**2 - 12*q + 18. What is z(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9847*106\nAnswer: -1043782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*-2*(-1)\/18*-9*-8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ruvrvrwrwwvuwrw. Give prob of sequence urwr.\nAnswer: 5\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 2*y + 2*y)*(-y - 3 + 3) + 2 + y**3 - 2 + 0*y + 0*y - y**3 - 5.\nAnswer: 2*y**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f*k*x**4 - 2*f*k*x**2 - 5*f*k*x - 49*f - k*x - 4*x**5 wrt x?\nAnswer: -60*f*k*x**2 - 4*f*k - 80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -1\/2*i**2 - 2 - 1\/3*i**3 + 0*i. Find the second derivative of g(f) wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**6\/12 - b**5\/15 + b**2 - 3*b. Let f(w) = -21*w**3 - 9*w**2. Calculate -4*f(l) + 9*v(l).\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(54)\/sqrt(2))**2 - (2 + -2*sqrt(27) + sqrt(27)).\nAnswer: -3*sqrt(3) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v - 55. Determine h(12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.1. Let d = 50 - 51.4. Let y = -3.6 + d. Which is the closest to i? (a) 0.3 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 216*z - 609*z - 629*z - 543 + 37*z - 63*z wrt z.\nAnswer: -1048","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 - 59. Let u = -8 - -7.25. Let g = -0.25 + u. What is the nearest to g in y, 2\/9, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -197694*d*x**3 + 16*d*x**2 + x**3 + 2*x**2 - 2*x - 68 wrt x.\nAnswer: -1186164*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 4 - 19)*(-5 - 17 + 1)*(-4*j - 2*j + 5*j)*(-1 - 4 + 0) in the form p*j + a and give p.\nAnswer: 2730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90967?\nAnswer: 17, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -2\/9, 14\/23, 0.06, 1\/3, 1\/2, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + y - 27 = 0, 5*b - 3*y + 0*y - 95 = 0. Let z(k) = 5*k**2 + 66*k - 140. Let s be z(-15). Sort 3, s, -1\/6, b in descending order.\nAnswer: b, 3, -1\/6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**2\/2 + 1. Let x(w) be the second derivative of 0*w**2 - 3\/2*w**3 + 0 + 3*w. Calculate m(x(i)).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v**(2\/47)\/v)))\/v*v\/(((v**(-2\/7)*v*v)\/v)\/v)*(v**(-7))**39 assuming v is positive.\nAnswer: v**(-90038\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -836 + 839. Which is the nearest to -9? (a) u (b) 0.2 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1642 is divided by 109?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*g - 3*g - 41, -5*k + g + 150 = 0. Is 31 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 13624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8290207 to the power of 1\/2, to the nearest integer?\nAnswer: 2879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 374, 1091, 2442, 4637, 7886, 12399, 18386?\nAnswer: 26057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r. Determine l(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*i + 2662 + 2770. Calculate the remainder when 422 is divided by i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 579.3 and 0.4.\nAnswer: 579.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48.02 - -48. Let v = -118.52 - -119. Let j = k - v. Which is the smallest value? (a) j (b) 0 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38007350 divided by 5\nAnswer: -7601470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -1, 4, -172, -36.\nAnswer: -172, -36, -1, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 4 = 52 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 33*a**6\/2 - 97*a**3\/3 - 53. Find the third derivative of m(u) wrt u.\nAnswer: 5940*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 396 divide 755172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72.822 litres?\nAnswer: 72822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 less than -190328?\nAnswer: -190687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 726337794 to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/4)\/(((-3)\/92)\/3). Suppose -18*c = -g*c + 15. Let f = -38 - -38. What is the nearest to f in 4, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (513 - 513) + 11 + 0 + 1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -116769523\nAnswer: 2\/116769523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 69*n + 562. Let f be u(9). Solve 264 = -22*c - f*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -417, -3404, -11497, -27246, -53201, -91912?\nAnswer: -145929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 5*v + 8. Let l be u(-4). Suppose -l*b + 16 = s, -5*b - s - 3 = -22. Is 14\/(-42) + 4792\/b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324 (base 6) to base 3.\nAnswer: -11121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 269.336 times -11\nAnswer: -2962.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 4:53 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -4 - 8) + 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*g - 1096 = 2221. What is the remainder when g is divided by 58?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1854463615?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jjjjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -0.2, -4167?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001904 rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/2310*9691 - (1 + -1 + (-5)\/30).\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/7)*j**(-1\/3))\/(j**0\/(j\/(j\/((j*j**(-11)*j*j)\/j)))) assuming j is positive.\nAnswer: j**(-187\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 89711734 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -86, -269, -694, -1457, -2654, -4381?\n\"Answer: -16*g**3 - 25*g**2 + 4*g - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19d05 (base 15) to base 11.\nAnswer: -58070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11284 divided by -4.\nAnswer: 2821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*w - 955 = 42*w + 184*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27496 = 580*w + 584*w + 98216 for w.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 170356, 170358, 170360, 170362, 170364, 170366?\n\"Answer: 2*s + 170354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*f**3 - 52 + 109 - 57 - f in the form t*f**2 + s + j*f + r*f**3 and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 10:15 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by 622910.\nAnswer: -5\/124582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 4*w = 0, -3*w = 23 - 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -8*l**3 - 19*l**2 - 15*l - 4. Let q(c) = -9*c**3 - 20*c**2 - 16*c - 4. Let a(y) = 5*b(y) - 4*q(y). List the prime factors of a(-5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (990\/(-27) + 19)\/1*6.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*h + 5, 0 + 4 = -2*f + 2*h. Let j = 73\/324 + 2\/81. Is j < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300252625?\nAnswer: 5, 89, 137, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 5*f - 24 = 8*v, 20 = 5*f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsd when three letters picked without replacement from fiiffdffpsdfidi?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 965493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -13*40\/312*329526\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.464805um?\nAnswer: 0.000000000464805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19537.92*-2.64.\nAnswer: 51580.1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a tonne in kilograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*d + 1. Let v = -18 + 20. Calculate the highest common divisor of d and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1724 - 1684. Suppose k + 0*k = 21. Suppose 0 = 4*y - d - 16, -4*d + k + 5 = 2*y. Calculate the greatest common divisor of y and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 2*y + 1. Let h be l(2). Suppose 4*x - p + 25 = h*x, 2*x + 4*p - 28 = 0. Solve x*s + 5 - 1 = d, -5 = 5*s + 4*d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhkb when four letters picked without replacement from {h: 5, b: 4, k: 2}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2551*w - 392*w**3 + 7*w**3 + 192*w**3 wrt w?\nAnswer: -1158*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.047 - -0.053. Let a = g + -3.1. What is the second smallest value in -1\/7, a, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q + 13. Let g be s(4). Suppose 5*w - 5 = -5*j, w + 18 = 3*j + 7. Is (90 + g)\/j - (-3 - 0) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2. Let d be f(0). Let g = 46 - 26. Suppose 0 = -5*m + m + g. Solve d = y + 3*r + 4, m*y + 4 = 2*r - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(30\/(-5))*(-2)\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12113130 (base 4) to base 15\nAnswer: 7ad6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43373 is divided by 1403.\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -7\/5*x**3 + 2324\/5*x + 167*x**2 - 732\/5 = 0.\nAnswer: -3, 2\/7, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001011002 (base 3) to base 11.\nAnswer: 14467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1\/4, 4, 28\/2187, 14?\nAnswer: 28\/2187","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 304\/9, 2, -283, 20 in increasing order.\nAnswer: -283, 2, 20, 304\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -32331 (base 5) to base 15\nAnswer: -9cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q - 33*q + 93 = 0. Calculate the remainder when 69 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(((-1)\/(-38))\/(1\/2)). Let v(s) = -s**3 - 20*s**2 - 18*s + 8. What is v(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*t - 12, -1 = -4*c + 3*t + 23. Solve -c = 4*j - 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 4*p - 12 = 0, -2*s + 10 = -200*p + 199*p for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 6*d - 17. Let y(z) = -z**2 + 5*z - 2. What is y(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295399.5 decades in months?\nAnswer: 35447940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzgzzzzggzzgzzg. What is prob of sequence gzz?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + i**2 + 3*i + 2. Let y be o(-2). Suppose -4*h + 130764 = -h. Suppose s - 20414 - h = l, -4*s = -y. What is l rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) + sqrt(180)\/sqrt(3) - ((sqrt(240) - (sqrt(240) + sqrt(240)*-2)) + sqrt(15)))\/((sqrt(432) + sqrt(48) + sqrt(48))*-6)*-1.\nAnswer: -sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-78)\/(-507))\/((-9)\/(-39)). Which is the nearest to i? (a) -2\/7 (b) 0.4 (c) -1 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140.018 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 8. Let l be -2400*(0\/(-2) - 2). Suppose m + f*m - l = 0. Round m to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 15*m**2 - 99*m - 1126. What is l(-17)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 691 = -3*h - 2*z, -3*z + 133 = h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64*l**2 - 7 + 20*l**2 - 25*l**2 - 18*l**2 with respect to l.\nAnswer: -174*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37.7 + -36. Let b = x - 1.9. Does b = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/88*(705\/10)\/(-3) and -70\/1149.\nAnswer: 12639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*h - 307 = -h, -2*a = -4*h + 176. Suppose -13*k + 6*k = -1169. Let r = a + k. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, z: 1, y: 7}. Give prob of sequence ya.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 262 - 256. Let r(k) = -k - 5. Let a(d) = -2*d - 2. Let p(h) = -5*a(h) + 2*r(h). Let c(w) = 0 + 0 - w. Give t*p(o) + 52*c(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by -4.\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -473, -1011, -1579, -2189, -2853, -3583?\n\"Answer: -2*h**3 - 3*h**2 - 515*h + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmqmmqq. Give prob of picking 2 m and 1 q.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*q + 98*q - 347*q - 2*q**2 + 154*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*y - 72*y = 129*y - 5213 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 0*r - 15, -3*v + 3*r = -21. Let k(u) = 8*u + 1. Let m be k(v). Suppose -2*i + 15 = -m. What is the remainder when 63 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.133 - -0.077. Which is the second biggest value? (a) -2 (b) -5 (c) -0.3 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -30. Let t(m) = m**2 + h*m**2 - m**2. Let o(j) = 5*j**2 - 3*j**2 - j**2. Calculate t(o(a)).\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10, -8, -4, 2?\n\"Answer: t**2 - t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + c - 2 - 2 = 0, -c = 5*v - 10. Suppose 51 + 21 = v*g. Let h = g + 31. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000533 rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14416 is divided by 39?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/16990835 and 19\/24774?\nAnswer: 101945010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = 23*w - 10. Suppose -3*p = -q + 1, 2*p + 3*p = 4*q + 3. Let r be -5 + 3 + 3 - -1. Sort q, r, w.\nAnswer: q, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1526, -3256, -4970, -6662, -8326, -9956, -11546?\nAnswer: -13090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 205.3\nAnswer: -196.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 230711765 and 23684.\nAnswer: 5921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 q, and 2 h when four letters picked without replacement from {z: 6, q: 1, h: 3, k: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -35*p - 9. Let y be d(-1). Suppose -3*j + 5*j + 9 = -5*t, 2*j = 2*t + y. Solve -10*i + j = -14*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 12*f**2. Let l(j) = -j + 405*j**2 - 48*j + 49*j - 152*j**2. Give l(a(x)).\nAnswer: 36432*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/175 or -1?\nAnswer: -3\/175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**2\/2 - 633033*g\/2 - 633027 = 0.\nAnswer: -211009, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -251.5 and 0.0251.\nAnswer: -6.31265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + -4 + (4 + sqrt(243)*-1 - (2*sqrt(243) + -4)) + -4 + 4).\nAnswer: -135*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 137 + 1092 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 642 - 619. Is p less than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*g - 34*g + 4*y = -28, -4*g = -2*y - 14. Solve g = 218*a - 198*a - 60 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -5.3. Let t = 1.925 - 12.747. Let k = j - t. Round k to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 2:27 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 272606408 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: Simplify ((-4*sqrt(171) + sqrt(171))*-4)\/sqrt(9).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 21 = -2*u, -5*w - 22 = 2*u + 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 42*v**2 + 649*v - 61. Calculate a(-16).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o - 1. Let p(i) be the first derivative of -3*i**2\/2 + i - 17. What is -5*p(g) - 6*z(g)?\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 - 5*l + 5*l)*(-l - 2*l + l) + (-7370*l + 85*l**2 + 7370*l)*(-3*l - 4*l + 6*l) + l**3 + 2*l**3 - 5*l**3.\nAnswer: -85*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.230973 and -7720560.\nAnswer: -7720564.230973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 941, -4, 11, 5, -5 in decreasing order.\nAnswer: 941, 11, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -6. Let n be (-3 - -6)*(-1)\/y. Let u be (3\/(-12))\/(2\/(-40)). Which is the second smallest value? (a) -0.2 (b) n (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + -2 + -2 - sqrt(117).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360 is divided by 352.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -21?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 47412978, -4 in decreasing order.\nAnswer: 47412978, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 8*u - 7. Let s(q) be the third derivative of -1\/24*q**4 + 0*q + q**2 + 0 + 1\/6*q**3. Determine 2*l(g) + 14*s(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 15*p**2 - p + 3. Let t(l) = -16*l**2 - 3. Calculate -4*j(c) - 3*t(c).\nAnswer: -12*c**2 + 4*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 249660*m**3*v**6 - 2*m**3*v**2 + 5*m**3 + 4571*m**2*v**2 + 2*v**6 wrt v.\nAnswer: 29959200*m**3*v**3 + 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krkr when four letters picked without replacement from {y: 2, k: 4, r: 5}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215773?\nAnswer: 127, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/5*n**2 + 0*n + 2\/5*n**3 + 0.\nAnswer: 2*n**2*(n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -74, -952, -3362, -8078, -15874?\n\"Answer: -129*z**3 + 8*z**2 + z + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(3*a + a - 6*a)*(-4*a + 8*a - 5*a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -43256 divided by -3?\nAnswer: 43256\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 963.0154ml to litres.\nAnswer: 0.9630154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2, 685, 56, -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2086358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.205982 micrograms in kilograms?\nAnswer: 0.000000009205982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from {a: 1, h: 5, e: 1, d: 1, z: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 1936.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*j + 4, -3*m - 33 = 2*j. Let k = m - -16. Calculate the least common multiple of 9 and k.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -19*o. Let m(b) be the first derivative of b**3\/3 - 104. Give m(l(j)).\nAnswer: 361*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4999*-10.\nAnswer: 49990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 38*y**2 + 35*y + 162. Give d(39).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 <= -826\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10.7031 times -0.12\nAnswer: 1.284372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 157698329 by -1591.\nAnswer: -99119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k = -27*k - 30. What are the prime factors of (2\/6)\/(k\/30) + 82?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/5 and 81\/140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 138 in -2\/3, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 u when three letters picked without replacement from uuxxxxxx.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-3))\/(((-210)\/(-432))\/(-35)). Find the second derivative of p*u**2 + 78*u**2 - 152*u - 68*u - 46*u**2 + 50*u**2 wrt u.\nAnswer: 356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 - -202198\nAnswer: 202224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -136 + 2b?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**2 + 2455410*j + 2455415 = 0. Calculate j.\nAnswer: -1, 491083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -29437.81 rounded to the nearest 100?\nAnswer: -29400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1093*q**4 - 1754*q**3 + 9*q**2 + 559*q + 38.\nAnswer: 26232*q - 10524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**5\/2 + 113*a**4\/2 - 1099*a**3\/2 - 113*a**2\/2 + 549*a = 0.\nAnswer: -122, -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 256430259377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28253060.\nAnswer: 2, 5, 11, 167, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1721 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 1:21 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3889.\nAnswer: 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -21*f - 1534. Determine k(-73).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -2, 3, 3\/5, 5, 12, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-14)\/3*30\/(-60)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 13851?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and (58\/15 + (-8)\/(-10))\/(30\/10305)?\nAnswer: 9618","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 374.5468 decades to months.\nAnswer: 44945.616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518205?\nAnswer: 3, 5, 179, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63609 and 22087468?\nAnswer: 3029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 13*h + 23. Let y be z(-12). Suppose -9 = x - y. Calculate the least common multiple of 11 and x.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 1. Let t be k(-4). Suppose 0 = -t*w + 12, -79 = -5*h - 5*w + 51. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 187710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -6. Let k = 18 + p. Suppose -25 + k = -2*g. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12323, 24646, 36969?\n\"Answer: 12323*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (26\/(-4))\/(0 + 2\/(-4)). Let g = -12 + h. What is the third smallest value in -19, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10213034 - -36?\nAnswer: 10213103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akmq when four letters picked without replacement from pmqtakmkppat.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2775.163 micrograms in milligrams?\nAnswer: 2.775163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**3 - 3*w**3 - 8*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 5*i + 22, -13*p = -10*p - 3*i - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 e, and 1 p when three letters picked without replacement from kpkekgb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-53 + 41 - 77)*(6*c - 2*c - c).\nAnswer: 534*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 232918 to the power of 1\/2, to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8569548 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900) - (3 + sqrt(1900) + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.036 (b) 7\/2 (c) 0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*y - 407*y + 195*y = -6*j - 54, 2*j = 10 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -2979 and -183045 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-2\/9))\/n)\/(n\/(n**4\/n*n)) assuming n is positive.\nAnswer: n**(38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101100011110 - -1?\nAnswer: 100101100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 66441552.\nAnswer: 132883104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1635.99998401 + -1636. What is d rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -41*k - 2168 - 145. Sort k, 3, 5, -6, 1.\nAnswer: k, -6, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**5\/2 + 11*u**4\/2 + 9*u**3 - 36*u**2 = 0?\nAnswer: -3, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 - (12 - (-15 - 68)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 - 50. Suppose x*g - 582 = -5*t, t - 2*t + 102 = -3*g. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 9 = 0, 3*o + 5*f = 2*o + 17. Let a(b) be the second derivative of 2*b**3\/3 + b**2\/2 + 695*b + 1. Let n(r) = 3*r + 1. Give o*a(l) - 3*n(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.1, -17.\nAnswer: -17, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1504719?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 159 by 159.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9255662397 to the power of 1\/6, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 964996.1m?\nAnswer: 964996100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1194856 and 0.034?\nAnswer: -40625.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t + 8. Let b be y(-6). Let w(i) = -3*i**3 - 3*i**2 - 4*i - 1. Let s be w(-1). Is 18 a factor of 1330\/15 - b\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (792\/1452)\/((15\/66)\/5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -995136928197*h**3 - h**2 + 995136928188*h**3 + h**2.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 10. Let c be o(12). Put -5, c, 3 in descending order.\nAnswer: 3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 457255 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -10. Let z be 2 - (-17)\/(17\/8). Is u smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 40 + 2 = -4*f - 13*h, 0 = -33*f - 466*f + 2*h - 5491 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 5*u**2 + 18*u + 11. Let p be x(-8). Differentiate 9*k - 12*k**2 + 0*k**2 - 6*k + p wrt k.\nAnswer: -24*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 485657432.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etutueeuetjjpeeepeuu. What is prob of sequence pp?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -167765 + 167764.10001. Let c = 0.9 + r. What is c rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361 = 5*b - 3*u, -5*b - 53 = -4*u - 411. Calculate the remainder when 512 is divided by b.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 6. Let m be u(10). Let d = -12 - -8. Let i = 1 - d. Sort i, -1\/2, m in descending order.\nAnswer: i, m, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3972, -7994, -11810, -15318, -18416?\n\"Answer: 17*x**3 + x**2 - 4144*x + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31366856 is divided by 454?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*w**2 + 172*w + 428*w + 0 - 5 + 139*w**2.\nAnswer: w**2 + 600*w - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2924719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (u - 3*u + 0*u)*(-2*u + 4*u - 3*u) + (0 + 0 - 3*u)*(8*u + 0 + 0) in the form s*u**2 + y*u + w and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwwwwwwwwwwwwwwxwww. What is prob of sequence xw?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 366.677 * 0.3.\nAnswer: 110.0031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (31759\/(-308))\/13 + 104\/572 - -11\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 5 - (9 + -16). Let t(a) = -a + 4. Let u be t(2). Suppose -10*k + 10 = -8*k. Put k, w, u in decreasing order.\nAnswer: k, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913871.\nAnswer: 7, 130553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/4)\/((-2)\/4). Is 2\/k*(53 + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.071 + -9.929. Which is greater: -0.1 or a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13411187.\nAnswer: 13411187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(91) - sqrt(91))\/sqrt(7) - (sqrt(13) - (-1 + sqrt(13)))*-6)*-6*-6 + -3)*4 + -5)**2.\nAnswer: 243936*sqrt(13) + 986977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 15698983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 645671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*a**2 - 1\/4*a**3 + 0 - 1\/4*a.\nAnswer: -a*(a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 115420 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5661 times -0.45\nAnswer: 0.254745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6158 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a + 0 + 2 + 2*a + 3*a**2. Let w(s) = -s**2 + 7*s + 2. Let j be w(7). Suppose 0 = -6*y + j*y - 2*x - 18, -2*y = -x - 1. Calculate v(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -134, 27, 5, 26, 12.\nAnswer: -134, -4, 5, 12, 26, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6264*g**3 + 1362*g**3 - 11037*g**3 - 2400*g**3 - 19224*g**3.\nAnswer: -37563*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-6))\/((-7)\/(-3)). Suppose 0 = -5*w - 2*s + 11, -2*s - s = -4*w + 18. Let g = 1.5 - 0.5. Which is the closest to g? (a) w (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -1, 1\/53, 3, 0.1, 3\/2, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000051401 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjtmmdmtmbhb. What is prob of sequence thj?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*l + 3*h + 6, 0 = -l - 5*h - 5. Suppose l = 34*t + 13*t - 77597. List the prime factors of t.\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22575 - 29.6878.\nAnswer: 22545.3122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 37 = -45. Let n be (1 + d\/(-3))*-3. Suppose w - 8 = n. What is the remainder when w is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 7026796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 6*d**2 + 4*d - 5. Give x(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 232143 = -2*l, 0 = 10*m - 166 + 96. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3770*b + 4196387 - 4196387 to w + h*b and give h.\nAnswer: -3770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 d when two letters picked without replacement from {d: 5, q: 9}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -770*v + 1104 = -954*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 497524719 to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -10 (b) -106 (c) -5 (d) -43\/4 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 1:24 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 1, 3 in decreasing order.\nAnswer: 18, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198456 divided by -6.\nAnswer: 33076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38.2 + -78.4. What is s rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*c + 134, 4*p + 0*p = 3*c + 280. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 863*m + 163*m = -17442 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 92*h - 5. Let p be k(-1). Let o(t) = -99*t**2 + 2*t - 1. Let l be o(1). Is p greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418.8387 rounded to the nearest ten?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -59*c + 4. Let f be k(-18). Let i = 5 - 3. Suppose -i*l + f = -48. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -140*n - 811. Calculate the smallest common multiple of o(-6) and 754.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 5\/7, 2, 2306\/35, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/150*10*(-33)\/9?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Add 9642529 and -147661787.\nAnswer: -138019258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -4*m - 38. Solve 20*k + 4*k**m - 53 + 111 - 42 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*x**3 - 6*x - 15*x**3 - 6*x**3 - 2*x - 14*x**3 to the form b*x**2 + a + u*x**3 + h*x and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*d - 10, 2*i = -2*i - 16. Suppose -6*o + 11*o + d = 3*w, -2*w - o = -10. Let p be ((-1)\/7)\/(2\/6). What is the closest to 2 in -1, p, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*m)*(-m + m + 2*m) - 5040*m**2 + 7656*m**2 + 6686*m**2 to the form u*m**2 + k*m + b and give u.\nAnswer: 9306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h + 2. Let i(v) = -v + 36. Let y(w) = 6. Let l(r) = i(r) - 6*y(r). What is -2*l(x) + m(x)?\nAnswer: 5*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.99 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -9*m**2. Let t(h) = 18*h + 2841. Calculate t(n(x)).\nAnswer: -162*x**2 + 2841","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millennium in months?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 804\/1566 - (-96)\/(-216)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 4\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in -3\/2, -1039, 1514\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/40 and ((-10)\/(-24)*1830\/100)\/(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/1467)\/((-2)\/1479). Let x = s - 2\/163. Let g be ((-3)\/(-2))\/((-4)\/8). Which is the closest to 0.1? (a) x (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 38*g**2 + 801*g + 65. Let b be z(-21). Sort -3, -23, b, 11, 4 in descending order.\nAnswer: 11, 4, b, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 17*c + 114. Determine x(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100*l*z**3 - 13*l*z**2 + 582614*l*z - 5*l + 7*z**3 + 74*z**2 wrt z?\nAnswer: -600*l*z - 26*l + 42*z + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 5*s + s. What is the greatest common divisor of 700 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 353 - 69 - 138 - 146 + 124*q.\nAnswer: 124*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/15 (b) 8 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s + 3. List the prime factors of d(6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 70 = -18*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 3:47 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**4\/18 + 8*o**3\/3 - 48*o**2 - 53*o. Let k(n) = 0. Calculate n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3480 - -7884. List the prime factors of o.\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 65 + 2*q + 93*q - 602*q**2 + 600*q**2 wrt q?\nAnswer: -4*q + 95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198120, -198190, -198320, -198510, -198760?\nAnswer: -199070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1522*d = 1025*d - 1935*d + 39808 + 35584 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -57*n**2 + 23*n**2 + 27*n**2. Let j(u) = u. Determine o(j(r)).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 102, 115, 136, 165?\n\"Answer: 4*x**2 + x + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 3815?\nAnswer: -1526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p = -a + 21, 0 = 3*p - 4*a + 8. Suppose p*i = 2*z - 7 - 1, 4*z - 4 = -4*i. Suppose 4*r = -z*s + 882, 2*r + 84 + 349 = s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 0*z - 3*z + 5, -5*t - 5 = 5*z. Suppose 0 = -t*h - 371 - 197. Let n = 329 + h. What is the greatest common factor of 17 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/4*((-576)\/(-42))\/(-8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 4, -4, -246, -107 in descending order.\nAnswer: 4, 1, -4, -5, -107, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 296 = -1230. List the prime factors of y.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r - 2*r - r + (2*r + 0*r + 0*r)*(-1 - 1 + 0) + 1 - 1 + r + 1 - 1 + 2*r + (-1 + 0 + 0)*(-4 + 4 - r) + 24*r + 18 - 20 - 277*r.\nAnswer: -254*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 837 - 7550\/9. Let g(r) = 2*r**2 + 14*r - 5. Let j be g(-7). Calculate the common denominator of 4\/(-9)*(j + -25) and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 11*s - 10. Suppose -4*r = -t + 45, -2*t + t = 3. Let u be g(r). Let -4*n + 0*n**u + 3*n - n**2 + 2*n**2 = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176337776*o - 176337776*o - 2*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 48 - 63 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60 + 132 - 43)*(66*r - 4*r + 4*r + 149*r + 12*r).\nAnswer: 6583*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u - 10. Let m be w(-6). Suppose 74 = r + 3*k, -m*r + 111 + 7 = -4*k. Is 23 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 108 + 1586. List the prime factors of c.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 44, 171, 464, 1007, 1884, 3179, 4976, 7359?\n\"Answer: 14*b**3 - b**2 + 32*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 g when four letters picked without replacement from {u: 2, v: 3, z: 1, k: 1, e: 2, g: 3}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 34.3\nAnswer: -34.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - -2. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 75 = s + s, -105 = 3*s + 5*y. Let g be (6\/s)\/((-2)\/(-4)). Is 2\/11 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + s**2 - s**2)*(-4 - 4*s**3 + 6 + 2*s**3).\nAnswer: 4*s**5 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106*f + 143*f - 348*f + 157*f - 4 to the form x + g*f and give g.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/19 and 70\/309.\nAnswer: 5871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4095*a**3 - 5223*a**2 - 1116*a + 12 = 0. Calculate a.\nAnswer: -1, -2\/7, 2\/195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yf when two letters picked without replacement from {f: 4, y: 6, w: 5}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/27, 0.07, 4, -0.03, 0.5 in decreasing order.\nAnswer: 4, 0.5, 0.07, -0.03, -1\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + (sqrt(99) - sqrt(99)*-1) + -3 + 5 + 5 + (sqrt(99) - (sqrt(99) + 0 + sqrt(99))) + 5)**2 + 4)*-4.\nAnswer: -2176 - 576*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 5*m - 41, 0 = c - 4*m - 10 - 6. Is c smaller than 136\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 3:54 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -k + 2*k. Let n(z) = -4*z**3 + 2*z - 1. Let f(u) be the second derivative of 9*u**5\/20 - 2*u**3\/3 + u**2 - 3*u + 121. Determine k*n(x) + 3*f(x).\nAnswer: -x**3 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 233 + -1161\/5. What is the closest to 7 in 0, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -32. Suppose -j = -0 - v. Is (-88 - -4)*j\/(-2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 7*r**2 + 3*r**2)*(4*r + 14*r - 8*r) + 0*r + 3*r**3 + 0*r.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.8 - 2. Let g = -74568.18 + 74568. Which is smaller: g or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p + 3*d + 4 = 0, 0 = -2*p - d - 4. Let l(h) = -8*h - 11856. Let w(v) = -v - 1368. Let q(f) = -6*l(f) + 52*w(f). Calculate q(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syyyiqqlllyyp. What is prob of sequence pi?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1 (b) 0.111 (c) 5 (d) 3 (e) -43 (f) 47 (g) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**4\/3 - 1376*j**3\/3 - 75136*j**2 + 3874816*j\/3 - 15859712\/3 = 0.\nAnswer: -352, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3430 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -5. Suppose 0 = -4*d - 2 - u. Let r(n) = n**2 - 2*n - 1. Let m be r(2). Which is smaller: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (sqrt(45)*1)**2 - (sqrt(405) - -1*sqrt(405)).\nAnswer: -45 - 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 31870, -47, 4, -9 in ascending order.\nAnswer: -47, -9, 4, 31870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*(-2 + ((sqrt(726) + sqrt(726)*4)\/(sqrt(200) + sqrt(200)*-5))**2).\nAnswer: -961\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*z**5 + 2*z**5 - 5*z**5 + (-z**2 + 2*z**3 + z**2)*(7*z**2 - z**2 + 2*z**2).\nAnswer: 7*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 108 + -4 + 2 - 3. Suppose -3*u + 2*o + 26 = -2*u, o = 5*u - x. Let y be 88\/u + (-2)\/5. Solve -2*d = -f, -5*d = -4*f - y - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*g + 54258 - 255730 - 109925. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1121 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 309\/28 + -2351\/168. Calculate the common denominator of ((-5)\/15)\/(12\/174) and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 + 47. Suppose 4*d - 614 + 134 = f. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*v**2 + 2051*v**3 - 2058*v**3 + 76*v**2 + 10*v to j*v + a + i*v**3 + p*v**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + (-92 - -4))\/11 - 2*-4.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81656 - -151209. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -5, -9, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 112402 = 3*m - 58488, -4*g + 113880 = 2*m. List the prime factors of m.\nAnswer: 2, 28477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + r = 6, 2*z - 37*r - 24*r + 58*r = 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 238498?\nAnswer: 2623478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5582 - -4\nAnswer: 5586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1092)\/(-8) - 3\/6. Suppose 4*g - 64 = -2*c, 5*c + g - k = 42. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 2:22 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -22. Let d = -0.3 + 0.2. Which is the nearest to d? (a) v (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 25170262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 1)*(-4)\/(-2). Find the third derivative of 4*w**3 + 0*w**2 - w**u - w**2 wrt w.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/5 + (-162)\/(-15). Let p(i) = i**3 + 11*i**2 - 15*i + 8. Let s be p(-12). Calculate the highest common factor of y and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/2850 and 12.\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 81331577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59 and 99002.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*h + 47*h - 27. Suppose -11 - 16 = h*p. Is (p\/(-6))\/(1046\/(-524) - -2) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + (2 - 1 - -1) + -106 + -3 + 110?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9396 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-17)\/(-4) + -4). Suppose -5*f + f + x = 0. Solve f = q - 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/6)\/((-1)\/(-4)). Let c = 7 - d. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 568073462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 30, 12 in decreasing order.\nAnswer: 30, 12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ututtttuuttutttt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/24*1)\/(3\/20).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 1. Suppose 5*n - d - 7 = -3, 2*d = -8. Let m(j) = -j**2 + 4*j - 1. Let r be m(2). Sort b, r, n in decreasing order.\nAnswer: r, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 2 + 14. Let b be k - 3\/3*-2. Suppose 4*w + 16 = b*w. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14434185?\nAnswer: 3, 5, 127, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101\/147 - -1\/49. Let a = -8 + 2. Which is smaller: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 773, -13, -1\/4, -3\/14, 0, -9 in descending order.\nAnswer: 773, 0, -3\/14, -1\/4, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/7411 + 14844\/81521. What is the closest to p in -2\/31, 17, 2?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + 4*(sqrt(325)*-1 + -2))**2 + 3.\nAnswer: 240*sqrt(13) + 5243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**3\/3 - 2*q**2 + 6*q - 1. Let u be v(-5). Let b(a) = 17*a - 36*a - 3 + 2 + 24*a. What is b(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**5\/4 + 21*n**3\/2 + 38*n**2 + 183*n\/4 + 18 = 0. What is n?\nAnswer: -3, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -4, 4\/7, 1\/2, -94\/29, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-3))\/(64\/264))\/((-43)\/((-10320)\/(-40))).\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1911337685*j**2 - 283*j + 283*j + 1911337681*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4005, 3981, 3957?\n\"Answer: -24*c + 4029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i - 14. Determine o(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-32)\/z)\/(z\/z**(-5\/3)))\/(z\/(z*z\/z**36))**29 assuming z is positive.\nAnswer: z**(-3152\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 75750?\nAnswer: 75750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 809102423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3 + 0 - 52*p + 123*p + 156*p. Is o(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 341503032 to the nearest integer?\nAnswer: 18480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9478 = 5*o - 8492. What is the hundreds digit of (2 + (-32)\/24)*o\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 8, 3*s - s + 4*m = 124. Let u = s - -30. What is the units digit of (u\/(-9))\/8*-144?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 840175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-19 - (1 + -9)) - (-7 + 19) - -28?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1384262 and 1606.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(204) + sqrt(204))*2 + sqrt(204))\/(sqrt(12)*-1*-5 - sqrt(12)))**2.\nAnswer: 425\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 207482 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + n + 3*n = 28, -5*n + 20 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 14725*l**4 + 4*l**2 + 36*l - 5. Let x(o) = -14741*o**4 - 4*o**2 - 35*o + 5. Let d(v) = -4*c(v) - 5*x(v). What is the third derivative of d(q) wrt q?\nAnswer: 355320*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 320778, 641592, 962394, 1283178, 1603938, 1924668, 2245362?\nAnswer: 2566014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/2088 and -133\/36.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-1) + -3 + 4. Let p(b) = -10*b**2 - 3*b - 5. Let o be p(g). Round o to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 0.5, 134, 1\/5, -11\/10, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2296958, -2296950, -2296938, -2296922, -2296902?\n\"Answer: 2*l**2 + 2*l - 2296962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, j: 8}. Give prob of picking 1 j and 2 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**3 - 8*a**2 + 2*a - 9. What is the units digit of i(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 15 = -2*k, 5*v - 25 = 5*k. What is the third derivative of -4*w**v + 2*w**5 - 213*w**4 - 3*w**5 + 213*w**4 wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovmmooov. Give prob of sequence oo.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 223776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507258093?\nAnswer: 3, 73, 2316247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011001 - -101010?\nAnswer: -11101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 9\/550?\nAnswer: 9\/550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.11 + -13.89. Let b = n - -13.999896. Round b to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 12, -4*m + 0*w - 2*w - 18 = 0. Let z(l) = -l**2 - 3*l + 5. Let k be z(-5). Let r be -5*(3\/k)\/1. Sort m, r, 0 in descending order.\nAnswer: r, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69438842 - 0.245\nAnswer: 69438841.755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 3:00 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22364863 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14326, -14420, -14514, -14608, -14702, -14796?\nAnswer: -14890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -997 < -997?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 7 = 5*m + 31, -7*q + 2*m - 74 = -76 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -3*x - 4*b, -52 = -x - 3*b - 6. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a98 (base 13) in base 2?\nAnswer: 111110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9253 + -0.1253. Sort 14, -0.1, o in increasing order.\nAnswer: -0.1, o, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/4, 4, -257, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6921875.\nAnswer: 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 484585113 - -0.458.\nAnswer: 484585113.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -45. Let w = -11 + k. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**5\/60 - 17*r**3\/3 + 10. Let l(m) be the third derivative of v(m). Let j(d) = -d - 12*d + 4*d. Give l(j(k)).\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10020 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d + 40*d - 169*d. Let n(l) = 2489*l**2 + 2510*l**2 - 5000*l**2. Give u(n(h)).\nAnswer: 135*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-14) - -9*(-184)\/308. Let j = -190\/33 - z. Let o = -6 + -5. Is j > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/88)\/(6*3\/156)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5540438185 to the power of 1\/3, to the nearest integer?\nAnswer: 1769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**3\/18 + g**2\/12 + g\/3 + 3. Let t(p) = 0. What is p?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 15*i**2 + 3*i - 44. What is the least common multiple of d(-16) and 10?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(7\/5)\/v)**(-1\/40)\/(v**20\/v**(-36)) assuming v is positive.\nAnswer: v**(-5601\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.09343nm in millimeters?\nAnswer: 0.00000409343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a day in hours?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-23)\/184)\/((-1)\/24). Let i(f) = 2*f**3 - 4*f**2 - f + 1. Determine i(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (116\/(-87))\/((-52)\/(-12))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*g - 0*g. Suppose -4*t = 2*i + 3*i - 40, 0 = -5*t - i + 71. What is the greatest common divisor of t and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - ((sqrt(88) + sqrt(88)*2 + sqrt(88))*-2 + sqrt(88)))\/(sqrt(8) - (sqrt(8) - (sqrt(56)\/(sqrt(7)*-1) - sqrt(8)))).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -532 (b) -168474 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28811 + 9212. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 455*y**3 + 481?\nAnswer: 1365*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -20.67. Let t = -104.93 + 105. Let n = j - t. Round n to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 8 = -2*p. Suppose 10 = 3*x + p*x. Let i(h) = h + 6. Let o be i(-5). Which is bigger: x or o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8016 + 8009 - 8*o**2 + 8012 - 24037 + 0*o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.092 + -4.908. Are -11 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.71749? (a) 0.3 (b) -1\/6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -263 divided by -6\nAnswer: 263\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 19, 12, -5, -32?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/12382372 and -53\/269182?\nAnswer: 12382372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-10) + 28\/(-70). Suppose -3*u = -w*u - 102. Does 34 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*t + 36381 = 314*t + 2435 + 292 for t.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 3*u - 2*u + 12, -4*d - u = -18 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 10*o**4 + o**3 - 5*o**2 + 4468*o + 3. Let v(i) = -i**4 + 2*i**2 - i + 2. Let d(t) = -f(t) + 2*v(t). What is the second derivative of d(g) wrt g?\nAnswer: -144*g**2 - 6*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 18. Let a = -8 + s. Suppose 2*z + a + 3 = 2*k, 0 = -5*z + 2*k + 2. What is the smallest common multiple of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342584323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 35. Which is the closest to 0.1? (a) 6 (b) m (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 58*u**2. Let o(f) = -f**2. Give o(g(x)).\nAnswer: -3364*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99 + -90 + (-31 - -2) + -12.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51641051, -103282100, -154923149, -206564198, -258205247, -309846296?\nAnswer: -361487345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6523818036.\nAnswer: 2, 3, 19, 28613237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111001010101010010 + -11?\nAnswer: 1111001010101001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(11) - (0 + sqrt(11))*-2))**2 - (sqrt(11) + (sqrt(176)\/sqrt(4))**2 + sqrt(11))*1.\nAnswer: 71 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 238\nAnswer: -238.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2626651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -4. Let y be 2\/15*(-25)\/35. Which is the closest to s? (a) y (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1551 or 0?\nAnswer: 1551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 14*g**2 - 16*g + 1. Let i be x(-15). Let m(p) = -10*p**3 - 6*p**2 + 6*p + 16. Let u(a) = 2*a**3 + a**2 - a - 3. Determine i*u(l) + 3*m(l).\nAnswer: 2*l**3 - 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 196*x + 3949. Calculate h(172).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 579*s + 5 - 1163*s + 567*s - s**2 - 15. Let v = -32 - -17. What is the units digit of d(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6 + 2 + 4 + d. Suppose 5*z - 33 = -i, -5*i = 5*z - 0*z - 65. What is the least common multiple of j(-6) and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19146*l**3*u**3 - 3*l**3 - 4686*l**2 - 11*l*u**4 + 2*l + 2 wrt u?\nAnswer: 57438*l**3*u**2 - 44*l*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11138 is divided by 415?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 108\/30 - (-3)\/(-5). Let z be (1\/(-4) - 7\/(-4))\/v. What is the second smallest value in z, -5, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 459670000 to the nearest one million.\nAnswer: 460000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c5a2 + 0?\nAnswer: c5a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 2:19 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.69 - -0.31. What is the second biggest value in m, -0.25, -2?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 15 = 4*u - 15, -2*y - 3*u = 3. Let k be (-3 - y)\/((-3)\/(-2)). Let f be (2\/k)\/(5\/2). What is the closest to f in -0.2, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-55 + 13*w + 55)*(-w + 3*w - 3*w) - 3 + w**2 + 3 + (-2*w + w + 2*w)*(-w - 2 + 2) in the form k*w**2 + v + t*w and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 337 + -305. Suppose 3*t - 4*t = 3*q + o, 3*t - 4 = q. Put -17, 5, 4, q in descending order.\nAnswer: 5, 4, q, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.2 (b) 3 (c) 2 (d) -6\/83 (e) 1\/3 (f) 0.057\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23248 is divided by 216.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**5\/60 + c**4\/3 + c**3\/6 - 42*c**2. What is y(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218 = -4*f + 3*g - 281, -5*f - 2310 = -110*g for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 327840 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-4)))\/s*s*s*s*s\/(s\/(s\/((s**(3\/28)*s)\/s*s)))*s*(s**11*s)**(-41) assuming s is positive.\nAnswer: s**(-13583\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 439601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4, 85*x = 83*x + 5*a + 5. Let k(i) = -i**2 - 6*i - 3. Let c be k(-2). Suppose 2*y - 3*y + c = 0. Is y at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/3 - -1)\/((-20)\/(-6)). Factor 0*j + 0 + 2\/5*j**3 - t*j**2.\nAnswer: 2*j**2*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 827439, 1654881, 2482323, 3309765, 4137207, 4964649?\nAnswer: 5792091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3620132 is divided by 891?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/957 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 14\/3073695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v - 2*v - 8*v)*(1 - 7 + 2 + 2)*(10*v**3 - 19*v**3 - 10*v**3) in the form i + r*v**4 + s*v**2 + o*v**3 + w*v and give r.\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*t**3 + 14*t**3 - 55*t**3)*(-t + 3*t + 0*t)*(-2 + 4 - 1).\nAnswer: -168*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 58\/(-6) + 288\/36 + (-9988)\/1353 - -9\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3608\/(-6765))\/((1\/5)\/(4\/1692)). Is q < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 8. Let a = -1514 + 1508. Let r(c) = 3*c - 15. Give a*r(w) - 11*l(w).\nAnswer: -7*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 6:50 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68739134?\nAnswer: 2, 23, 1009, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5378513 is divided by 1792806?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -65*z + 171. Let r be l(12). What is the units digit of 28\/(-7) + 7 - r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i. Suppose 0*a + a + 32 = 2*o, -3*o + 2*a + 48 = i. Calculate the smallest common multiple of 20 and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 443765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11929612*z**4 - 16130616*z**2?\nAnswer: 286310688*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 3*b**2 - 7*b - 1. Does 10 divide f(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-4))\/(1\/(-4)). Let x be -3*(6\/(-9))\/1. Solve -x*r = -1 - z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32.09 - 32. Let n = 0.31 + u. What is the smallest value in 3\/7, n, 39?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 164.5. Let v = 141 + q. What is the closest to 1 in 0.1, -0.3, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**4 + 73449*o**3 + 5747751*o**2 - 11715837*o + 5894640 = 0. What is o?\nAnswer: -80, 1, 24561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnbg when four letters picked without replacement from {g: 6, b: 5, c: 1, n: 4, x: 4}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/(j*j\/(j*j**(1\/4))*j)*j*j)*j**3*(j*j**(-6))\/(j*j*j*j**(2\/15)*j*j) assuming j is positive.\nAnswer: j**(-443\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*(3 + (sqrt(192) - 2*sqrt(192)) - sqrt(192)*1*-3) - (2 + sqrt(192) + 3 + (sqrt(192) - (sqrt(192) + -2 + sqrt(192))*6))))**2.\nAnswer: -2688*sqrt(3) + 27844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 36 (b) 0.009 (c) 7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u. Let a(w) = -7*w**2 - w**2 + 7*w**2 + 3*w. Let k(v) = 2*a(v) - 6*n(v). Let b(i) = -2*i**2. Calculate b(k(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1087 and -0.2.\nAnswer: 217.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -706300 to the nearest 10000.\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 50, 954.\nAnswer: -1, 0, 50, 954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15779906 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -20*r. Suppose 38*h + 11 = 3*x + 34*h, 0 = -x + 2*h + 7. Let l(k) = -7*k. What is x*v(m) + 8*l(m)?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -13.8. Let s = v - 4.2. Sort s, 0.03, 3 in decreasing order.\nAnswer: 3, 0.03, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 859*g - 434*g - 424*g. Let v(k) = 18*k - 4. Give 12*h(r) - v(r).\nAnswer: -6*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1501\/(-609) - (-22)\/154. Let i = 10\/29 - t. What is the closest to 1\/4 in i, -2\/3, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 2*c - 9. Calculate the smallest common multiple of 256 and i(5).\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/30 and -109\/138?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39802?\nAnswer: 2, 7, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 7*u**2 + 2*u + 10. Suppose 2*y - 9 = 7. Let o be b(y). Let g = o - -41. Solve 0 = g*c - 15, 5*a - 7*a + 29 = 5*c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -12. What is the remainder when 65 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -22*49\/84*6. Solve -68*v = -p*v + 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 196695.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 333855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000291153064 rounded to 6 decimal places?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x + 10. Let m = x - 7. Which is smaller: -3\/2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 36 = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 12\/11 (b) -0.5 (c) 0.53 (d) -283 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 - 26*m - 8. Let x be z(10). Let g(i) = i**3 - 32*i**2 + 38*i + 133. Is g(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112221001 (base 3) to base 14.\nAnswer: b1d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1741 + 1748. Sort -4, r, 2 in decreasing order.\nAnswer: r, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 572 and 6116136?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b\/(b\/(b\/(b*b\/(b*b**0)))))*b)\/b))**(-14) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/5664 and 13\/2988736.\nAnswer: 529006272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 5*h - 15, 6 = 3*h - 3. Let l(y) be the second derivative of 1\/4*y**4 + 0 + k*y**5 - y + 0*y**2 + 1\/3*y**3 - 1\/30*y**6. Factor l(b).\nAnswer: -b*(b - 2)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1460801?\nAnswer: 67, 21803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*c + 13*c - 11*c)*(-4*c + 4*c + 2*c**2) + 0*c**3 + 0*c**3 + 2*c**3 - 26*c**3 - 169*c**2 + 169*c**2 - c**2 - 3*c**3 - 6*c**2 + 8*c**2 + c.\nAnswer: -c**3 + c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 2) + (4 - 0). Suppose q - 5 = -2*p, 0 + j = 2*q. Suppose 3 + 27 = p*s. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 3:36 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -347 times 0.02?\nAnswer: -6.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -287*m + 926. Let t(v) = -114*v + 463. Give 2*n(i) - 5*t(i).\nAnswer: -4*i - 463","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6385117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-37))\/(-1 + -1). Let h be 7 - 265\/10*4\/16. What is the fourth smallest value in x, h, 1\/5, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -5034?\nAnswer: -1\/2517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.249 + -0.051. Which is the smallest value? (a) s (b) 0.27 (c) 3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 56\/30 - 3\/15. Let z(b) be the first derivative of 1 + 0*b + d*b**3 + 0*b**2. Let r(q) = -2*q**2. Determine z(r(y)).\nAnswer: 20*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000027899 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c - 15. What is the least common multiple of n(-11) and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 - 0.1. Let a = h - 3.6. Let f = a - -4. What is the biggest value in f, -0.1, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, 5.4, 5\/6, -0.5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1322 (base 8) to base 9\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 - 232 + 232.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -45*h**2 - 3*h + 3. Let j(f) = -f**2 - f + 1. Let x(g) = 5*g**2 - 74*g + 208. Let u be x(11). What is u*m(y) + 3*j(y)?\nAnswer: 42*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, p: 13}. Give prob of picking 3 p.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**5 - 225*m**4 - 2175*m**3 + 7925*m**2 - 8400*m + 2880.\nAnswer: -5*(m - 1)**3*(m + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -12*k + 7*k**2 + 1\/3*k**3 + 3. Let t be y(-15). Calculate the highest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - 5*v + 3*v + 3019 + 4*v + v to the form d*v + p and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-16\/3))**(-16) assuming p is positive.\nAnswer: p**(256\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16033669 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 t(a) = a**3 - 74*a**2 + 218*a + 29. Let m be t(71). Put m, 3, -3 in increasing order.\nAnswer: -3, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 5 (c) 60\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - d - 112 = 0, -5*d = -2*u - 2*u - 124. Suppose -2*q - 164 = -3*q. What is the tens digit of q\/9 + 8\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1198, -6\/11, 1\/7, 0?\nAnswer: 1198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(270)*-2 - sqrt(270) - sqrt(270))*5 - sqrt(270))\/(sqrt(1000) + -1*sqrt(1000) + sqrt(1000)))\/((2*sqrt(72)*1 - sqrt(72))\/(sqrt(72)*4)).\nAnswer: -126*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2221311 (base 4) to base 15.\nAnswer: 3349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*i - 2*i + 0*i)*(317*i**2 - 524*i**2 - 882*i**2) + (-2*i**2 - i**2 + i**2)*(2*i + i - 4*i))*(4*i - 4*i - 2*i).\nAnswer: 4352*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-9)\/10))\/((-4)\/(-72))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -3 - (6 - 1 - -5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 227*f - 887. What is u(4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 592 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a. Let r(w) = 3*w - 11. Let m be r(5). Let l(f) = -35*f**2 + 4 - m + 6*f**2. What is l(x(u))?\nAnswer: -29*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5760*f + 8927*f + 114012 for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/3 - ((-14 + -31)\/9 + 18).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79*h**4 + 30 - 2*h + 175*h**4 - 4*h + 21*h**4 wrt h.\nAnswer: 3300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5729774851?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0874852ml in litres?\nAnswer: 0.0000874852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*(4 + sqrt(304) + sqrt(304)*2 + -2*sqrt(304)*5 + 0 + (sqrt(304) - sqrt(304)*-2)*1 + sqrt(304))**2.\nAnswer: -16512 + 576*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5658100 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 630413380 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 261276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - ((-6 - (-15 - -9)) + 5 + -2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -m - 2*c - 2861, -5*m + 2863 = -c. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 7:10 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 236771040927 less than 119?\nAnswer: -236771040808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (146\/511)\/(20\/(-42))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 18 = -16. Factor 2*i**2 - 10*i + 14*i + 8*i**c.\nAnswer: 2*i*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t - 13. Let p be n(4). Let i(d) = -6*d - 2. Let w be i(p). What is the common denominator of -57*w\/(-54) + 24\/6 and -107\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**3. Is h(1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vva when three letters picked without replacement from aavvavavavaaa?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((2945\/465)\/(10\/54))\/1)\/(6\/(-10)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 110*h - 40 = 105*h, 6*n - 5*h = -36 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3743 is divided by 669?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5637 = -846*m + 843*m. Suppose 0 = 5*d - 171 - m. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 48 + 166 = 2*m, m - 4*j - 125 = 0. Let k = m + -68. Calculate the remainder when k is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**2 + 31*b + 9. Let n be f(-6). Suppose h + 34 = -6*g + 9*g, g + n*h = 8. Solve -z - 2*t = 2*z + g, -3*t - 13 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2753795060?\nAnswer: 2, 5, 23, 73, 82007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o + 166*o**2 + 258*o**2 - 412*o**2 + 2*o as b*o + h + j*o**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 5*h - 25 = 0, -113*h = 5*k - 110*h + 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*o + 2. Let t = o + -8. Which is bigger: t or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 983*m + 137250. Give u(-1107).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 6*l - 6*l. Suppose -1 + 17 = 4*h + 5*g, h - 4 = -2*g. Factor 1\/2*w**h + w**3 - w - 1\/2 + l*w**2.\nAnswer: (w - 1)*(w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*r = -121*r - 3410. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 396197*h**4 - 425064*h**2.\nAnswer: 9508728*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 2, -116, 5, 192 in increasing order.\nAnswer: -116, 2, 5, 12, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3912*r - 3912*r + r**2 - 3*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**(-2)*y))\/(y*(y*y**(-5))\/y))\/(y**(-2\/9)*y*(y\/y**(1\/7))\/y))\/(y*y**(-4\/5)*(y**(-1\/3)*y)\/y*(y\/y**1)**43) assuming y is positive.\nAnswer: y**(1417\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from {c: 2, i: 2, o: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iee when three letters picked without replacement from alelllriillalbelabai?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*o**2 + 107*o**2 + 132*o**2.\nAnswer: 37*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 1. What is z(-12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 8*u - 5. Let a(k) = -5*k**2. Give t(a(j)).\nAnswer: -40*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, 74, 163, 254, 347?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 13*i**2 - 23*i + 13. Let w be c(11). Solve -23\/2*n**2 - 9\/4*n**3 - w + 27\/2*n**4 + 9*n - 27\/4*n**5 = 0 for n.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/21, -2.22, 13?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 9*i**2 + 12*i - 32. Let l be v(8). Suppose -3*z + 5*t = -l*t - 462, -5*t = z - 154. Calculate the remainder when z is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*n - 2*n. Solve -z + n*z - 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w - 6*w - 3*w)*(w**2 - 224 + 341 + 7*w - 166) to the form j + c*w + i*w**2 + b*w**3 and give i.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3 - 8. Suppose 13*b - 21 = 12*b. Suppose 4*h + 3*h = b. What is the lowest common multiple of s and h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -15*w**2 - 30*w - 20. Let f(u) = 8*u**2 + 15*u + 10. Let x(o) = 5*f(o) + 3*n(o). Suppose x(l) = 0. Calculate l.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 2859*c**2 - 2047752*c + 6117552.\nAnswer: -(c - 1428)**2*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**5)\/w*((w\/(w*w\/(w*w*w**0*w)))\/w)\/w)**6)**(-15\/8) assuming w is positive.\nAnswer: w**(225\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 41*m + 6. Give n(-41).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5 + 10 = 0. Suppose 2*d + t = 5*d. Sort d, -2, -4.\nAnswer: -4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*m**3 - 3243*m**2 + 1080*m.\nAnswer: 3*m*(m - 360)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + x**2 - x**2)*(-5 + 0 + 2)*(-2*x**3 - 3*x**3 + 4*x**3).\nAnswer: 3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 190*n**3 + 59*n**2 - 4*n - 8. Let z(d) = 570*d**3 + 178*d**2 - 11*d - 22. Let k(l) = -11*b(l) + 4*z(l). What is the third derivative of k(h) wrt h?\nAnswer: 1140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2. Suppose -4 - 46 = 5*g. Let c be 4\/g - 72\/(-30). Let f(h) = -56 + 56 + 3*h**c. Determine o(f(y)).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 5. Let v be o(4). Let b(x) = 11*x**2 + 21*x + 9. Let g(n) = 5*n**2 + 10*n + 5. Let f(w) = v*g(w) + 4*b(w). Factor f(c).\nAnswer: -(c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2434 is divided by 970?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 31 + -16 + -29 - -4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205 and 122139.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0048 and -0.4.\nAnswer: 0.00192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 9:43 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/11 - 29\/33. Which is the second smallest value? (a) -4 (b) x (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9727355000 to the nearest one million.\nAnswer: -9727000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 2 = -2*i. Find the first derivative of -2 + 0*g - g + i*g wrt g.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**2\/5 + 1125*g + 1727568\/5 = 0. What is g?\nAnswer: -1488, -387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 469.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/4)*p)**(2\/35))**37)**(-29) assuming p is positive.\nAnswer: p**(-3219\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 7*z**4\/24 + 2*z**3\/3 - 3*z**2. Let p(h) = 6*h - 47. Let s be p(9). List the prime factors of r(s).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1201 - 28741\/24. Calculate the common denominator of r and ((-172)\/(-30))\/((-24)\/(-20)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404397841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41486687 is divided by 20743339.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -204.2141 and 44.86.\nAnswer: -159.3541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5235 + 5235. Let q(s) be the third derivative of 0*s**3 + 11*s**2 + 2\/5*s**5 + b - 3\/8*s**4 + 0*s. Find the second derivative of q(p) wrt p.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -330*b*q**3 - 107*b*q**2 - 2*b wrt q.\nAnswer: -1980*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 45 - 10*c + 10 + 101 - 26. What is the remainder when 99 is divided by t(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14800 - -16182. Calculate the remainder when t is divided by 230.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 3\/10*m**5 + 1\/120*m**6 + 0 + 7*m**2 + m**4 + 0*m - 8\/3*m**3. List the prime factors of c(-16).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 513751 by 513751.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -89477782*w*x**3 - 65459672*w wrt x.\nAnswer: -268433346*w*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 124*c**2 - 20*c - 7. Let m(p) = 55*p**2 - 9*p - 3. Let x(y) = -4*h(y) + 9*m(y). Let l(s) = s**3 - 4*s**2 - 4*s - 11. What is -l(f) + 3*x(f)?\nAnswer: -f**3 + f**2 + f + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 10:57 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-12))\/(-6*(-1)\/36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 220 = 2*w, -9*n + 14*n = -w + 106. Find the third derivative of -w*c**3 + 4*c**2 + 16 - 13 - 5*c**2 wrt c.\nAnswer: -666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w + 14. Let b be g(-7). Let n be ((-3)\/(-2) + b)*-2. Let l(p) = 5*p**3 - 5*p**2 + 3. Let o(f) = -10*f**3 + 11*f**2 - 7. Calculate n*o(v) - 7*l(v).\nAnswer: -5*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -339 + -589?\nAnswer: -917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 2190580*z - 4381140.\nAnswer: -5*(z - 438114)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -5\/3, 3\/2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.68 (b) 19663 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 9:21 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 100 - 234. Let w = s + 133.9943. Round w to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*p + 3*p - 15 = 0, -2*w + 19 = 3*p. Suppose 3*x + 4*r - r + 6 = 0, w*r + 2 = 0. Let v = 1920 + -3839\/2. Put 1, x, 0.1, v in descending order.\nAnswer: 1, v, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 12 = 3*i, -t + 12 = 4*i + t. Let c(z) = 56*z**3 + z**2 + 2*z - 2. Is c(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in -61, -3.1, -2\/7, -4\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 7.1 (c) 9.41 (d) 2\/9 (e) 0.04 (f) 4 (g) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (43 + -49)*(-2)\/(-114). Which is the nearest to -2\/13? (a) 1\/4 (b) 0.2 (c) 0.3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10821?\nAnswer: 3, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 8:55 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*w + 2*m, w - 6 = -4*m + 5. Is -55 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14551329, 14551330, 14551331, 14551332?\nAnswer: 14551333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1400 and 23982.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 1\/2*m**2 + m + 5\/6*m**3 + 0. Is f(5) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 29904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 299.02 - 176.93. Let k = -122 + q. What is the closest to k in 2, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158710 is divided by 735.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.03, 8\/3, 0, -0.377?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1096506363 and 2.\nAnswer: -0.2193012726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 202*t - 1688. Determine x(-193).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100528 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304)*-1 + (2*sqrt(931))**2.\nAnswer: -4*sqrt(19) + 3724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37)\/(6993\/(-1944))*21\/6.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1063621 divided by -1.\nAnswer: 1063621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 6*x**2 + 8*x + 6. Let f = 22 + -8. Let l(y) = -y + 7. Let v be l(f). Let h be j(v). Sort h, -7, 1 in decreasing order.\nAnswer: 1, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v - 50 = -2*u, v = -3*u + 80. Let c = u + -22. Suppose -c*a = 2*a - 36. Solve a*r + 15 = 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3530 = -3*u, 0 = 2*u - 0*u + 2*x - 2360. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y + y)*(-4*y + y + 4*y)*(140*y - 33*y + 86*y).\nAnswer: 386*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-6))\/(4\/(2 - -151942)). Find the second derivative of 2*g**4 - u*g**2 - 4*g + 19035*g**2 - 6 + 2*g wrt g.\nAnswer: 24*g**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(90\/(-4)))\/((-30)\/135).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*a + 714 = 58*a. Let b(v) = -v**3 + 36*v**2 - 5*v + 103. Is b(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/3, 5, -12, 3.60696?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**1)**23*z*z**2*(z*z**(2\/7))\/z*z assuming z is positive.\nAnswer: z**(352\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1 + 3 + 80515*c - 8*c**2.\nAnswer: -8*c**2 + 80515*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13843*n = -13931*n + 1056 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2512041132 + 5?\nAnswer: 2512041141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 + 3174*d**3 - d + 148 - 3166*d**3 + 151 - 296 + 4*d**4 to s*d**4 + f*d + p + c*d**2 + i*d**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 22*y**2 - 42*y + 57. Determine g(-20).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -132 - -175.5. Let o = -43.49999586 + a. What is o rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 2, -17, -64, -151?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110823 and 19393.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 6*o**2 + 4*o**2.\nAnswer: -2*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**2. Let m(r) = -3488*r**2. Calculate m(b(j)).\nAnswer: -31392*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.011, -4, 2\/9, -1\/8?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(190) + sqrt(190)*2)*5 + sqrt(190) + 2*(sqrt(190) - (sqrt(190) - 1*sqrt(190))) + sqrt(190))\/((sqrt(90)*2*6)\/sqrt(9)).\nAnswer: -19*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 1\/3*5. Let p = 1.4 - 1.58. Let g = p - -0.08. Which is greater: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -2*j + 2*t, 3*t + 1142 = 1154 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -134, 3 in decreasing order.\nAnswer: 6, 3, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**3 + 50*j**2 - 333*j + 285. Let y(a) = -6*a**3 + 50*a**2 - 332*a + 284. Let u(q) = -4*k(q) + 3*y(q). Factor u(f).\nAnswer: 2*(f - 12)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2023 and 189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 13 + 2. Suppose -429 = -3*o - 3*q + 2*q, 2*o + x*q = 273. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.7564 to 1 dp.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from gggsggahsagsfghghsg.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 2*c + 2*c - c = 0, 6*v - 3*c - 26 = 2*c for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 83077*b. Let r(c) = -4*c. Give o(r(z)).\nAnswer: -332308*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4956 by -347.\nAnswer: 4956\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453*x - 528*x - 662*x = 36113 for x.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*o - 154*o - 24*o - 9769 + 23812 = 0 for o.\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 335 and 10180?\nAnswer: 682060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6 - 2*j + 0*j - 1. Suppose 25 = -10*z - 35. Let b be r(z). Let c(i) = i**3 - 5*i**2 + i + 2. What is c(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.021, 11, 6 in decreasing order.\nAnswer: 11, 6, 0.021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6360 - 6307. Sort 0.27, 1, l in decreasing order.\nAnswer: l, 1, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4305106147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4245\/13 in 0.5, -2, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 566617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - y + 12. Is j(-11) a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 + 32 = 5*n. Let v be (-3)\/(n\/28 + 1). Solve 3*l = 1 + v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 4*q + 6 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-24)*(-228)\/285\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from cqqpopqqqppqq?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 26 (b) -204\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from {p: 2, y: 17}.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37\/(-222))\/((-2)\/28)*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 1002141.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6868*w - 80822. Determine j(11).\nAnswer: -5274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyt when three letters picked without replacement from wttwtywywyxwttyxxwxx.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*t, 3*t - 40 = 4*f - 45 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**7\/42 + 19*p**4\/12 - 20*p. What is the third derivative of o(b) wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3403172*r**2 + 2*r + 415888 wrt r.\nAnswer: -6806344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/37 (b) 43 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4205 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/(-54) - -1)*(-2)\/(-6). Suppose -s*r**2 + 8\/9*r - 2\/3 = 0. What is r?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 0*1\/(-2). Let j(q) = 4*q. Let c(v) = v**2 - 8*v + 1. Let p(x) = c(x) + 2*j(x). Let d be p(h). Solve 4 = f - 4*w, 4*f = -2*w - 10 - d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 161*r**2 + 49. Let t(z) = -10*z**2 - 3. Let f(m) = 137*m - 49. Let b be f(0). Determine b*t(o) - 3*d(o).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-2 + -13) - (1 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-3 + (1 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**2\/7 - 520*s\/7 - 16900\/7 = 0 for s.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -125983 or -230?\nAnswer: -125983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -8*h**4\/3 - 118*h**3\/3 + 10*h**2 = 0.\nAnswer: -15, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 45657.97 hours in milliseconds?\nAnswer: 164368692000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/31, -55, -18, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, -122, -500, -1030, -1712?\nAnswer: -2546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -187\/93606?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 91400, 182771, 274118, 365429, 456692, 547895?\n\"Answer: -2*w**3 + 91385*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a*q**3 - 770*a*q - 198642*q**3 - 6*q**2 + 39 wrt q?\nAnswer: 6*a - 1191852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 3*z**2 - 2*z + 6. Let i = -49 + 85. Suppose -3*m + 8 - 1 = -k, 4*k = -4*m + i. List the prime factors of x(m).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1775672.745 rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -191\/672 - -68459\/218400. Find the common denominator of 109\/26 and z.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f + 26. Let v be g(-8). Suppose 5*b = 5*h - 990, 5*h = -4*b + v*b + 990. Let z = h - 137. Calculate the remainder when z is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5607975*d**2 - 11215956*d**2 - 4*d**3 + 5607981*d**2.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2967540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + j = 21, -3*k = j - 9 - 4. Solve g = -2*o, -k*g + 16 = -4*o - 2*g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.044\nAnswer: -0.0132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 7*h - 20 = 0. Let f be (3 + h\/8)\/((-2)\/696). Let p = f + 379. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (12 - 19) - 23\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 7. Let f be g(9). Let v be f - (-9 - (-8)\/(-4)). Calculate the highest common factor of v and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 5*p**2 - 6*p + 2. Let f be n(-6). Suppose f*x = -x - 63. Let s be (3\/(-9))\/(x\/(-18)). Which is greater: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 240401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24294722 is divided by 12147303.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 211*n**2 + 2*n + 2. Is u(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*o - 10, -3*o = o - 2*c - 8. Suppose -5*k = -h - 77, 0 = -0*h + h - o. What is the units digit of (8\/6)\/(k\/624)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53417199239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31438*l**3 - 15782*l**3 - 15872*l**3.\nAnswer: -216*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-371)\/1113)\/(0 - -4 - 46\/18)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (16 + -5 + -14 - -16)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6505 = q - 9029. Suppose q = 54*v - 36*v. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - (22 + (-16 - 6) - 7).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.081 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*a + 415*a**2 - 843*a**2 - 1726 + 451*a**2 with respect to a.\nAnswer: 46*a - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**5\/u)\/((u**(-1)\/u)\/u)*u**(-5)*(u*u**(1\/2)\/u)\/u)**(1\/20) assuming u is positive.\nAnswer: u**(3\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 0 - (-4 + -3) - 6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**2. Let z(l) = 7*l - 44. Calculate z(u(a)).\nAnswer: -35*a**2 - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29.7 + -267.7. Let z = s + 212. Which is bigger: z or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - 8*u - 19. Calculate the smallest common multiple of m(6) and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 2\/9 (c) -51 (d) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c - 3. Let h(b) be the first derivative of -b**2\/2 + b + 9. Give -4*h(f) - q(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -450222401 - 12?\nAnswer: -450222413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 1. Let b(z) = z**3 + 17*z**2 + 17*z + 14. Let f be b(-16). Let g be 44\/(-10) + f\/(-5). What is p(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/4 (b) -5 (c) 2\/21 (d) -906 (e) -4 (f) -3\/5 (g) 1\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-12) - ((-24)\/(-36) + ((-141)\/(-18) - 6))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 94, -119734 in ascending order.\nAnswer: -119734, 0.3, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 3:29 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 30*f**5\/11 + 588*f**4\/11 + 4212*f**3\/11 + 13272*f**2\/11 + 17070*f\/11 + 6300\/11 = 0?\nAnswer: -7, -5, -2, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 - (18 + -11 + -116)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8537101*h**2*t**4 - h**2*t**2 - 3*h**2 + 13*h*t**2 + 704*t wrt t?\nAnswer: -204890424*h**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51c (base 14) to base 13.\nAnswer: 5c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 0.12, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 + 88. Suppose 0 = 4*t - 3*r - 28 - c, 0 = -5*t + r + 75. Let y = -12 + t. Solve -a = y*o + 15, 3*o + 0 + 3 = 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 2*j**2 - 2*j - 2. Let o be h(-3). Suppose -52 = 2*m + 38. Let w = m + 42. Sort w, o, 3 in decreasing order.\nAnswer: 3, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q - 20349 = 3*q - 90909. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from elcefcfwfeefejeeewff. What is prob of picking 1 w, 2 f, and 1 l?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*q - 9 + 9)*(5*q + 0*q - 4*q) - q**2 + 0*q**2 + 0*q**2 + (2*q - q + q)*(0 + 2*q + 0).\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-564)\/(-1692))\/((-106)\/(-96) + -1). Factor 8\/5*i + 1\/5*i**2 + h.\nAnswer: (i + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37.7 - 38. Let w be 45\/(-84) + 4\/14. Put w, 2\/11, o in descending order.\nAnswer: 2\/11, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1116386.746 to the nearest 10.\nAnswer: -1116390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/20)\/(1307\/(-111095)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(58*m + 2*m + 159*m).\nAnswer: 219*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 18572*j - 502902.\nAnswer: 2*(j - 27)*(j + 9313)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**29*n)\/n)\/n)\/n*n**(-13\/5))\/(n**22*n**12\/n) assuming n is positive.\nAnswer: n**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -32*r**5\/5 - 235*r**2 - 2*r - 689. Find the second derivative of n(p) wrt p.\nAnswer: -384*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12491461\/24999 + -402\/641. Suppose 5*n - 5*k = 780 + 1695, 2*n - 978 = 5*k. Let c = n - i. Do 0 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3996, -7975, -11954, -15933, -19912?\n\"Answer: -3979*l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(6\/(-4)) - 7\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**5*a\/(a\/(a\/a**2))*(a*a**(-4))\/a*(a\/((a*(a\/a**(-3))\/a*a)\/a)*a**1)**23 assuming a is positive.\nAnswer: a**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1078) - sqrt(22)) - sqrt(22))\/((sqrt(12)\/sqrt(2))\/sqrt(3))*-1.\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1000010?\nAnswer: -1000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2592 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l = -3*l - 26 - 26 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/4 - 120\/32. Let x(h) = -21405*h**3 + 7*h**2 + 7*h - 4. Let q be x(s). What is q rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 10:56 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*p**2 + 1082*p**2 + 19*p**2 - 279*p**2 + 68*p**2 + 1110*p**2.\nAnswer: 2127*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -217504 divided by -3884\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.6829505t?\nAnswer: 682950.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*20*(-35)\/105*(-3)\/4\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342*h - 130*h - 45567 = -337*h for h.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 3*c + 6, 17*c + 10 = 13*c + 3*y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1583330?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, e: 6}. What is prob of sequence ea?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 11:04 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 225?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -297*j**2 + 4*j + 5. Suppose 5*i = -g - 4*g + 45, 2*i = -4*g + 26. Let y be d(i). Round y to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8847.\nAnswer: 3, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -442, -1620, -3456, -5956, -9126, -12972, -17500?\nAnswer: -22716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 460553620 to the nearest 100000.\nAnswer: 460600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -97155001.8 rounded to the nearest one hundred thousand?\nAnswer: -97200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 5. Let k = 2 - u. Let h = k - -13. Calculate the remainder when h is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-1)*(-108)\/(-540)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -1073.3?\nAnswer: 1078.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -2) + -3*47. Let j = -204 - z. Let q = j + 96. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 37*g**2 - 2109*g - 69. Determine p(-68).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvggvgivvairgf. Give prob of sequence ra.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 3*b - 10, 1059 - 1053 = 3*g - 3*b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71383067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**3\/3 + 293*x**2\/3 + 641*x\/3 + 142\/3 = 0.\nAnswer: -71, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*x + 103200010, -2*x + 5*t + 51789162 = 189152. What is x rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -611b93?\nAnswer: -611b92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3*2\/18 - 192\/117 and 59\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 8*k + 14 + 7, -198*k + 14 = -2*h - 193*k for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 43*a + 3896 = -94*a - 1846 - 3163 for a.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u. Let a be o(-2). Let c be (-1268920)\/(-96) - a\/(-6). Let s = c - 13229. What is the common denominator of s and -35\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -458*k - 4281. Calculate the remainder when t(-10) is divided by 102.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -237, 11218, 30317, 57066, 91471?\n\"Answer: w**3 + 3816*w**2 - 4054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 - -56. Suppose 2*f = 3*d - 16, -n*f + 5*f + 4 = d. Calculate the remainder when 21 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41352.225 plus 1.739?\nAnswer: 41353.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2660786*p + 91760518.\nAnswer: 2660786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51230374?\nAnswer: 2, 13, 151, 13049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 30*f**2 - 4 + 0*f + 0*f.\nAnswer: 30*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 25*w - 131. Calculate c(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t**2 + 488540*t - 488540*t + 3*t**2 + 3*t**2. Let i(q) be the first derivative of -19*q**3\/3 + 1. Calculate i(c(o)).\nAnswer: -76*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**11\/166320 + w**10\/75600 - w**5\/30 + w**2. Let z(n) be the third derivative of s(n). Factor z(o).\nAnswer: 2*o**4*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 8*i - 68, -4*u + 45*i - 24 = 41*i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23559361.86 - -0.1?\nAnswer: 23559361.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -3)\/(5\/6 + -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 w when four letters picked without replacement from vwvvwvvwvwvvvwvvwvv.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24607932 by -6151983.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81777513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2460169203?\nAnswer: 3, 1423, 576287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8\/25 of a millisecond?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 6, -0.4, 0.025743?\nAnswer: 0.025743","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-420)*5)\/(117\/21 - 2)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 19*r. Let c(h) = 5774*h. Give c(k(z)).\nAnswer: 109706*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*x + 6 = -98*x. Suppose x*c = -3*k + 420, 3*k + 2*c + 75 = 490. Suppose k = 6*q - 273. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/10)\/f**8*(f**(-3\/2)*f)**(2\/5))**(-1\/18) assuming f is positive.\nAnswer: f**(17\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12100 (base 3) to base 7.\nAnswer: -264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 25. Let g = 26 - j. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 33. Let j(u) = u - 85. Let d(x) = -2*j(x) + 6*k(x). What is d(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/63 + 959\/(-441)*-7. Let s(u) = u**3 - 17*u**2 + 35*u - 71. Give s(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lfc when three letters picked without replacement from tctftflkffccckcxcc?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 + 4*f**4 - f**4 + (2*f - 4 + 4)*(6*f**3 - 3*f**3 + 5*f**3).\nAnswer: 18*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(1225) + (sqrt(1225)*-2 - sqrt(1225))*5)*1)\/(2*6*-6*sqrt(5)*-1).\nAnswer: -49*sqrt(5)\/36 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9868 = 4*m + 40*n - 37*n, -4948 = 2*m + 5*n. Is m < -2464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465*g - 9*g**3 + 6*g**3 - 18*g.\nAnswer: -3*g**3 - 483*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*x**3 - 684*x - 86*x**3 + 1052*x.\nAnswer: x**3 + 368*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 - 5*o - 2. Let h(w) be the second derivative of -w**4\/12 - w**3\/6 - w**2\/2 - 28*w. Calculate 4*h(l) - q(l).\nAnswer: -2*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -17*v**2 + 1. Let d(u) = 53*u**2 - 41*u - 2. Calculate -d(i) - 2*n(i).\nAnswer: -19*i**2 + 41*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmqm when four letters picked without replacement from {z: 2, k: 1, q: 2, e: 1, m: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12898 + 12898. Sort n, 2, -266 in increasing order.\nAnswer: -266, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5\/2 (b) -111 (c) -4 (d) 0.3 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 27*z + 207. Give o(33).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -193bc (base 16) in base 13?\nAnswer: -38076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*x**3 + 70*x**3 - 137*x**3)*(2 + 1 - 1).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*v + 2*v + 2*v**2 + 2*v)*((-1 + 0 + 0)*(3 + 0 - 1) - 1 + 3 - 3).\nAnswer: -6*v**2 - 123*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 546994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 448*d**2 + 50621*d - 99458.\nAnswer: (d - 223)**2*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -17. Suppose g*o - 16 = -0. Suppose o*j + v + 4116 = -v, v + 5148 = -5*j. What is j rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46793470 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(90))\/sqrt(5) - (sqrt(288) + -3).\nAnswer: -9*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, t: 17}. Give prob of picking 4 t.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -226 + 251.55. Let d = n + -25. Round d to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32\/473 - 1\/43. Let z = 50 + -49.963. Let x = z + 0.963. Which is the closest to x? (a) 4 (b) -2\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003625632 rounded to seven decimal places?\nAnswer: -0.0000363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*j + 87*j - 28 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*h - 3*h - 11, 5*h + d + 1 = 0. Let f be (h + -1 - -2)\/(-1). Let o be f\/(3 + (2 - 3)). Solve -2*m = r - o*m + 13, -5*m = -3*r + 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4471291059?\nAnswer: 3, 43, 79, 271, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrghr. Give prob of sequence ghr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 5*u + 4*y, u = 28*y - 24*y - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/7))\/t*t)**(-1\/19)*t**(-4)*t\/(t\/(t**2\/t)) assuming t is positive.\nAnswer: t**(-404\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*m**4 + 11*m**3 - 129*m**2 - 4*m?\nAnswer: 120*m + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/6 - 984\/180 and -139\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (22\/(-4))\/(3\/12). Let y = -14 - m. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 8*r - 62. Calculate the remainder when r is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + x + 4. Calculate the lowest common multiple of 40 and k(3).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 1:31 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4066 divided by 19\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4121, 7447, 10771, 14093?\n\"Answer: -d**2 + 3329*d + 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-1)\/4*0. Suppose -29*y + 26*y + 9 = c. Let q = 0.2 - -0.1. What is the second smallest value in q, y, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 3 (c) -0.38 (d) -1\/2 (e) -3 (f) 349.9 (g) 3\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-6) + (-44)\/(-8)*37. Suppose 3*c = 3*x - u, 2*x = -5*c - 2*x - 295. Let i = 55 + c. Let r(n) = -n**2 - 10*n - 11. Calculate r(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 3. Let r be (1\/1)\/(7\/(-21)). What is the fourth smallest value in -2\/13, r, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60346 (base 15) in base 5?\nAnswer: 34220431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.151 - 1.949. Put 4, -1\/3, j in ascending order.\nAnswer: j, -1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.04 - 1.1. Let m = y - 0.14. Which is the nearest to 1? (a) 0.3 (b) m (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.4604 times -1.5\nAnswer: 5.1906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(147) - sqrt(147)*1)*2)**2 + sqrt(147) - (sqrt(147) - (sqrt(147) + sqrt(147) + 0 + sqrt(147) + 1)**2)) + -2.\nAnswer: 42*sqrt(3) + 1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -10*x**2 + 3*x - 4. Let q be n(-3). Let j = 296 + q. Suppose -t - z + 37 = 0, 0*t = 5*t + 3*z - j. List the prime factors of t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + d = -38, 5*k - d - 34 = 2*d. Let x = k + -4. Let f(s) = -2*s**2 + 6*s. What is f(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/((y*y**(1\/10))\/y))\/(y\/(y*y**0*y)))**(-19\/4))**2 assuming y is positive.\nAnswer: y**(-361\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1664231 is divided by 2451.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8*n**2 - 107*n - 315. Let f(r) = -12*r**2 - 160*r - 472. Let k(o) = 5*f(o) - 8*u(o). Let k(t) = 0. Calculate t.\nAnswer: -10, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/1 + (-2 - -10). Let w = 7 - -70. What is the greatest common factor of w and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26309 by 637.\nAnswer: 26309\/637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*h - 3*h. Suppose -o - 2*r = -2, -4*r = -h*o - r + 23. Suppose 0 - 10 = -2*x. Sort o, x, 0.\nAnswer: 0, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331863787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 38.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 4*h**2 - 4*h + 4. Let d(b) be the second derivative of 7*b**3\/6 - 26*b**2 - 20*b + 2. Let r be d(8). Determine a(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0.2, -25 in descending order.\nAnswer: 0.2, -2\/11, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 4*z**2 - 3*z**2)*(-z**3 - 2*z**3 - 3*z**3) + (-3*z**2 - z**3 + 3*z**2)*(0*z + z**2 + 0*z).\nAnswer: 5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 4, 0.036760927?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 0*q + 0*q + 2*q. Let v be ((-48)\/36)\/((-2)\/3). Let j(l) = 3*l - 2*l**v - 3*l + 7*l**2. What is j(g(x))?\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -37. Let r = 57 + f. Let g = r + -18. What is the nearest to 1 in 2\/3, -1, g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 15*d + 8922 = 8767, 2*d = 18 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -850.667021 + -0.012979. Let j = 865.6798 + q. Let n = -15 + j. What is n rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.1831 rounded to one dp?\nAnswer: 24.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/5)*s**(3\/4)*s*s)\/(s**(-1))**49)**(-21) assuming s is positive.\nAnswer: s**(-21987\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013156408 to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3400445 millennia in years?\nAnswer: 340.0445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3*5\/(15\/1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**2 - 39810*v + 79241805 = 0. What is v?\nAnswer: 3981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - 16*f + 27. What is q(12)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2. Let b = n - -2. Let h be ((-9)\/45)\/((-2)\/4). What is the nearest to h in b, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 - 132*m**2 + 134*m + 103. Calculate v(-67).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22195, -45204, -68211, -91216, -114219?\n\"Answer: v**2 - 23012*v + 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 543235?\nAnswer: -543242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*l**4 + 212*l**3*u - 3*l**3 - l**2*u + 61766*l*u wrt l.\nAnswer: -552*l + 1272*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*f = -10*f + 261 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 4. Let g = 3.1 + -0.1. Let u = g + -4. Which is smaller: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 i when three letters picked without replacement from {x: 5, i: 2, v: 5}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 equal to -1911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113*n**3 - 2042 - 1509 - 112*n**3 - 851 to the form s + i*n**3 + g*n + u*n**2 and give s.\nAnswer: -4402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1330 from -0.1.\nAnswer: -1330.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 6:23 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 190489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/10*17\/(136\/80). Let n(y) = y**2 + 6*y - 2. Let h(m) = 2*m - 1. Let u be h(-3). Let i be n(u). Is q not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 3:58 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 249*a**3*g**2*v**2 + 50*a**3*v**3 - 5*a**2*v**3 + 84*a**2 - a*g**2*v**2 wrt a?\nAnswer: 1494*g**2*v**2 + 300*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -285 - -482. Suppose -5*a - 4 = -2*s, -4*s = 4*a - 11 + 3. What is the remainder when p is divided by 15\/s*40\/6?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 2*(-3)\/(-6). Let x = -9.3 - -5.3. Sort 2\/11, x, f.\nAnswer: x, f, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**2 - 132*v + 100. Let u be q(-27). Suppose -19 = -c + 19. Calculate the highest common factor of u and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 11*t**2\/2 + 7. Let q(a) = -2*a**2. Give q(v(p)).\nAnswer: -242*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -17 - (-196 - -216 - (2 - -10))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.8713 rounded to one decimal place?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/4*(-1 + -5). Let f(k) be the first derivative of -k**3\/3 - 11*k**2\/2 - 2*k + 2. What is the units digit of f(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 2*c - 2. Let h = -20 - -23. Let z be u(h). Solve 3*x - 2 = z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8)*(-44)\/(-11). Suppose -2*u - w + 21 = 0. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28750.4 - -28750. Which is the fourth biggest value? (a) 1\/10 (b) h (c) 0.5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/34*192\/(-64)*(-56)\/28.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 10*v**4 - 4*v**3 + 62. Let x(i) = 34*i**2 - 20*i**4 - 34*i**2 + 3*i**3 + 4*i**3 - 123. Let y(k) = 7*t(k) + 4*x(k). Differentiate y(f) wrt f.\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -213.5 * 10323\nAnswer: -2203960.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/4)*a)\/(a**15*a))**(-45)*((a\/(a\/((a**(-2\/13)*a*a)\/a*a)))\/a*a*a**(-8)*a)\/(a**6*a**(-2\/7)) assuming a is positive.\nAnswer: a**(221269\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*i - 26*i + 1419 = 516 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (138\/(-10557))\/(19\/(-57))*3\/(-4).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8048 by -1006.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 5*b**2 - 4*b + 5. Let i = -4 - 0. Let l be z(i). Suppose -w = 3*o - 8*o - 4, -80 = -5*w - l*o. Solve 6 = 5*n - w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91219*k**4 - 442*k**3 + 21*k**2 + 13*k + 930437.\nAnswer: 2189256*k - 2652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -8*a + 2. Let n(k) = 8685*k - 1930. Calculate 1930*d(l) + 2*n(l).\nAnswer: 1930*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 554966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -40*a**2 + 122*a - 6 = 0.\nAnswer: 1\/20, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 33.\nAnswer: -32\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 8*k**2 - 10*k + 10. Let w(z) = -z - 9. Let r be w(0). What is the remainder when 56 is divided by b(r)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i**3 + 39302 - 39303 - 1593*i**2 + 3*i**3 in the form t*i**3 + x*i + c + g*i**2 and give g.\nAnswer: -1593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 + h + 221. What is the lowest common multiple of 10 and d(13)?\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -156236445 - -14?\nAnswer: -156236431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52832 or -52780?\nAnswer: -52780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 7733.\nAnswer: 46398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51436.4l?\nAnswer: 51436400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - -1) + (7 - 10). Suppose 3*r = y*r. Let z(l) = 4 + 3*l**2 - 8 + l - 3 - 2*l**2. What is z(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 759 + 381. What are the prime factors of j?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570108.\nAnswer: 2, 3, 7, 11, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8*(-5)\/25 + -2. Let c = 1 + -0.6. Sort 0, h, c in increasing order.\nAnswer: h, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 20*n**2 - 69*n + 7. Let b be c(23). Sort -8, 4, b.\nAnswer: -8, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*x**3 + 145*x**3 + 101*x**3.\nAnswer: 342*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2107277 a multiple of 499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.25 to one dp.\nAnswer: 13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 309*p**5\/20 + p**4\/12 + 79*p**3\/6 - 2*p**2 - 23*p - 69. Find the second derivative of j(o) wrt o.\nAnswer: 1854*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3760*c - 1214746. Determine u(323).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*z - 25*z + 2, 0 = t + 3*z + 6. Suppose t = 2196*f - 2194*f - 12. What is the remainder when 34 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4\/(l\/(l\/(l*l**(-6\/11)))))\/((l**(-18)\/l)\/(l**(-17)\/l)) assuming l is positive.\nAnswer: l**(50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/330 and -109\/198?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v = 3*x - 13*v - 987, -4*v + 1649 = 5*x. What is the remainder when x is divided by 104?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 1 = -a - 2, 0 = -2*a + 2*s + 10. Suppose 499 = r + 2*i, -a*r - 4*i - 704 + 2684 = 0. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -95*g**5\/4 - 128*g**2 + 13*g + 3. Differentiate w(d) with respect to d.\nAnswer: -1425*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -213, -224, -237, -252, -269?\n\"Answer: -d**2 - 8*d - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18565415 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 208\/(-66) + 2\/(-11) + (-8)\/(-24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -60 - 16c07?\nAnswer: -16c67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 83553978 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 41*t**3 + t**2 - t - 1. Let a be p(-1). Let w = 329 - a. What are the prime factors of w?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f - 40. Give w(-24).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 43 = -2*j, 5*j - 3 = 2*j. Let y = 4 + -9. Let p = y - h. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2195 is divided by 612.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13.25147*0.3\nAnswer: 3.975441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5313 + 39537 = -598*b for b.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - (-62)\/(-26))*8\/(-4). Determine r, given that -8\/13*r**3 + c*r - 8\/13*r**4 + 4\/13 - 2\/13*r**5 + 4\/13*r**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1053 + 934 - 1987 - 50*t.\nAnswer: -50*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.631 less than -940675580?\nAnswer: -940675578.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 10*w - 4. Let q = 6 - -8. Calculate the smallest common multiple of q and s(2).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 9*c**2 + 9*c - 8. Let h(o) = 8*o**2 + 9*o - 7. What is -6*h(i) + 5*s(i)?\nAnswer: -3*i**2 - 9*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 578\/(-16) - 4\/(-32). Let d = 36 + q. Solve -t + 2*k - 6 = t, d = 2*t - k + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1488 and 7632?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 5*y - 3. Let s be k(-6). Let p = 9 - s. What is the greatest common divisor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 - 5*h - 7. Let a(y) = -6*y**2 - 14*y - 21. Determine 4*a(x) - 11*d(x).\nAnswer: -2*x**2 - x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 7*f + 2*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m - 1. Let o(k) = 2*k + 1. Let l(v) = -6*h(v) - 11*o(v). Suppose 0 = 5*p + 26 + 19. Let q(z) = -z - 1. Give p*q(j) + 2*l(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1663*s**2 + 3345*s**2 + 11*s**3 - 2 - 1667*s**2.\nAnswer: 11*s**3 + 15*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*t**2 - 94*t**2 + 252*t**2 - 55*t**2 + 31 with respect to t.\nAnswer: 180*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 8*o - 27. Give n(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + j + 9)*(-j**3 - j**3 + 3*j**3 + (-4*j + 4*j + j**2)*(-2*j + 0*j + 0*j)).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 8 (b) 0.08 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*k = -752, 5*a - 7*k - 1244 = -6*k. Round a to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151101.\nAnswer: 3, 103, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -o + 4*i, 4*o - 3*i = 44 + 5. Let c(f) = -12*f - 9 - f**2 - o*f + 13*f. What is c(-9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(3\/((-9)\/2)). Let h be -1*(-3)\/p*-6. Calculate the greatest common divisor of 18 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50.74 + 51. What is u rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2723*f**5 + 128*f**3 + 3885768*f.\nAnswer: 54460*f**3 + 768*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-11)*s**(-4\/7))**(-4\/13) assuming s is positive.\nAnswer: s**(324\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/8)\/24*8\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -305*v**2 + 1367*v - 2741. Give r(2).\nAnswer: -1227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -152 + 5485?\nAnswer: 5333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*s + j, -5*s + 10*s = -5*j - 15 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/12852 and -14\/5049.\nAnswer: 141372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j**3 + 7*j**3 - 10 + 5 + 12*j**3 + 0 in the form m*j**3 + a*j + f + w*j**2 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 47266, 94573, 141926, 189331, 236794, 284321, 331918?\n\"Answer: b**3 + 17*b**2 + 47249*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 7*z + 25 + 18*z + 3*z**2)*(-z - z + 3*z).\nAnswer: 3*z**3 + 25*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 3422, -4, -90 in increasing order.\nAnswer: -90, -4, 0, 3, 3422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/50 and -94\/4425.\nAnswer: 8850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -188 + 321. Let p = 165 - i. What is the highest common factor of p and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.08, 6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 129 - 391\/3. What is the nearest to -1 in i, 3, -2\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4 (b) -2\/37 (c) -16\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18392230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, 317, 476, 635, 794, 953?\nAnswer: 1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3025964?\nAnswer: 2, 41, 18451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 1\/6, 73.6, 4, 1\/5 in decreasing order.\nAnswer: 73.6, 4, 1\/5, 1\/6, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16741, 16733, 16721, 16705, 16685?\n\"Answer: -2*s**2 - 2*s + 16745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11638 + -502. Does 48 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0, -45\/7 in increasing order.\nAnswer: -45\/7, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11\/4 of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3112387 is divided by 1796?\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**3 - 3*z**2 - 3*z + 3. Let x(q) = -5*q**3 - 4*q**2 - 4*q + 4. What is 4*d(m) - 3*x(m)?\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 550?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, -4, -5, 58 in descending order.\nAnswer: 76, 58, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 229, 530, 951, 1492, 2153, 2934?\nAnswer: 3835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9954.\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7722 and 413935236?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 9060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -7730633341 and 0.2.\nAnswer: -7730633340.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.5 + 2.1. Let s = -5 - -5. Let d = 0 - -5. Which is the closest to j? (a) 0.5 (b) d (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 82 = 2*h. Let q = 44 + h. Suppose 5*v - 1060 = -5*c, -q*c - v - v + 632 = 0. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119257609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.79 * 31\nAnswer: 24.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 5*y - 19, -3*d - 2*y = -y - 25. Suppose -3*z + d*z = 40. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyk when three letters picked without replacement from yyyagyfykfyg?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**(3\/5)))\/v)**(-14))**(14\/5)*(v**(-5)*v\/(v*v**(1\/4)*v))\/((v*v**(1\/2))\/(v\/(v\/(v**(-4)*v)*v))) assuming v is positive.\nAnswer: v**(5097\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13172047*g**2 - 14366086*g.\nAnswer: -26344094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -217 (base 8) to base 15\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2\/5 - 779*u\/5 - 31648\/5 = 0. What is u?\nAnswer: -736, -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 216719969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**3*v**3 + 9*f**3*v - f**3 - f*v**3 - 4*f*v - 63*v**3 wrt f.\nAnswer: 18*f*v**3 + 54*f*v - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77862 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3210*a + 1121*a = 281515 for a.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5286, -6231, -7178, -8127, -9078, -10031?\nAnswer: -10986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.832 + 0.042. Let q = 3.89 + v. Which is bigger: -32.4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-5) - ((21 - (32 + -18)) + -13).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.87 (b) 3118 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442193 is divided by 110533.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53963*u + 5 + 10954*u - 38134*u.\nAnswer: -81143*u + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*n**2*u - 124458*n**2 + 706950*u wrt u?\nAnswer: -15*n**2 + 706950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -6. Let w = r + -25. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4466*j + 62638 = 1633*j - 154910 + 5073 for j.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-238)\/(-189) - (-46)\/621)\/4. Factor 0*a**2 + 4\/3*a - a**3 + 0 + q*a**4.\nAnswer: a*(a - 2)**2*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1270 + -1272. What is the third biggest value in -237\/4, k, 6\/7, 2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 5*f**2\/2 + 7669. Let a(m) = 521*m. Give n(a(w)).\nAnswer: 2605*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**5 - 24*v**4 - 30*v**3 + 24*v**2 + 27*v.\nAnswer: 3*v*(v - 9)*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3334271 is divided by 296.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236045 is divided by 933?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/1 - (-13 - -12). Let l be (0 + 1)*g\/(-1). Which is greater: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 31 = 3*w, f - 4*w + 6 - 4 = 0. Solve 3*z - f = -0*z + 5*a, -5*z = -a - 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 7*r**5\/80 - r**4\/24 - 4*r + 3. Let z(m) be the first derivative of g(m). Factor z(l).\nAnswer: l**2*(7*l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m + 35*m = 147. Let h(r) = -r**3 + 6*r**2 - 3*r + 3. What is the remainder when m is divided by h(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 divided by -39484.\nAnswer: -85\/39484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**5\/25 - 128*v**4 + 122880*v**3 + 5073*v. Factor h(g).\nAnswer: 4*g*(g - 960)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440 and 169576.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 3:11 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -200bb8 (base 13) in base 15?\nAnswer: -ea94b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5\/4)*g)\/((g**(-5)\/g)\/g))**(2\/5) assuming g is positive.\nAnswer: g**(27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*b + 141*b + 117*b in the form c*b + m and give c.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -2*b - 53, -2*x + 5 = -4*b + 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20994*z + 10503*z + 10506*z - 225 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -42014*t**4 + 8*t**3\/3 + 6*t**2 - 5*t. Let o be s(6). What is o rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306278789.\nAnswer: 12641, 24229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19470 is divided by 714.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*w + 13 = -10, 3*z - 4*w - 31 = 0. Suppose v = 4*u + u + 10, v - 6 = 3*u. Solve v*a - z = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7440002 (base 10) to base 9.\nAnswer: -14888678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*w + 939*w**2 - 164*w + 114*w to p*w**2 + m*w + q and give p.\nAnswer: 939","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + sqrt(153) + -2 + -5 + ((-2*sqrt(153) + 1)*-6)**2).\nAnswer: -858*sqrt(17) + 44114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 669 a factor of 22794360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/3))**(-30)*(z*(z\/((z*z**(-1\/4)\/z*z)\/z))\/z)\/(z*z**(1\/5)\/z) assuming z is positive.\nAnswer: z**(-379\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 6 = -4*c. Let y be c\/6*6\/1. Is 3 a factor of (-3 + 6)\/(1\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0232 + -0.3768. What is the smallest value in -4, -0.11, -9, w?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 128*w - 131*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*g = -68*g - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63503011.\nAnswer: 11, 13, 29, 15313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -1.5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((4*(sqrt(104) - (sqrt(104)*-3 + sqrt(104)) - sqrt(104)))\/((sqrt(128)\/sqrt(4))\/sqrt(4)) + -1)*5.\nAnswer: -160*sqrt(13) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g. Let r(w) = 791*w**2 - w. Give l(r(y)).\nAnswer: 1582*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -12, 22, 23 in descending order.\nAnswer: 23, 22, 2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -18*u + 69. Give v(28).\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -112.4, -2\/7, 0.08, 1\/22?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1486049708 is divided by 6258.\nAnswer: 6254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 665 divide 343513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**6\/15 - 2*l**5 + 179*l**4\/12 + 741*l. What is the third derivative of k(x) wrt x?\nAnswer: 48*x - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**4\/6 - 5*h**3\/6 + h**2\/2 + 10*h - 43. Let f(t) be the second derivative of z(t). Let a(o) = -2*o. Determine a(f(m)).\nAnswer: 8*m + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*x - 2. Let y be (-18)\/21*7\/(-5). Factor 0*h + 0 + x*h**2 - 2\/5*h**4 + 0*h**3 - y*h**5.\nAnswer: -2*h**4*(3*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -84.2779776 to the nearest integer.\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 10 = 4*g + 2*f, -4*f + 18 = -5*g. Let x(b) = -1 - 4*b**2 + 4*b**2 - 6*b**3. Is x(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) + (sqrt(1216) + sqrt(1216)*-2 + sqrt(1216) + 4 - sqrt(1216)) - (sqrt(1216) + sqrt(1216) + sqrt(1216) + 0 + -1)) + -2)**2.\nAnswer: -144*sqrt(19) + 10953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 14, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -4318187 and -4318191 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**6\/120 + r**5\/15 - r**4\/24 + 2*r**3\/3 - r**2. Let j = -243 - -247. What is v(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*p**2 + 30*p - 30*p - 19*p**2.\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/1565, 0.2, -1\/3 in decreasing order.\nAnswer: 0.2, -2\/1565, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/((-15)\/(-6)) - -26. Suppose -7*q = -3*q - p. Solve -4*i + 3 - q = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 692 (b) -4 (c) 76 (d) -2\/9 (e) 14 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1340 divided by 67?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 37*s**2 - 718*s - 90. Determine o(23).\nAnswer: 2969","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h - 35. Let l be c(5). Let d(o) = 3*o + 3. Let u be d(6). Suppose -3*g + l = 15, 0 = n - g - u. What is the remainder when 31 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 978 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 8*i**2.\nAnswer: 2*i**2*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 1666641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c + -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1243202400 + 1?\nAnswer: 1243202401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 6. Let d be t(0). Let m be ((-16)\/d)\/((-1)\/3). Suppose -10*a + 5*a = 0. Solve a*l = -4*l - m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28195 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 9. Let o = n + 2. Suppose 0 = -o*h + 6*h - 161. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -20.5. Let v = 1.3 + j. What is the nearest to -0.1 in -1, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9 and 38785.\nAnswer: 38794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/19? (a) 0.1 (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/11368 and -65\/196.\nAnswer: 11368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 635921335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 * 17071.\nAnswer: -648698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 646197092 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141 - 4*p - 276 - 3*p**2 + 129 + (-2*p + 0*p + p)*(3 + 3 - 5)*(5 + 3*p - 5) to l*p**2 + w*p + o and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157059400 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1672872 and 37410.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**4 + 21*x**3 + 370*x**2 wrt x?\nAnswer: -24*x + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1068 take away -1551.03?\nAnswer: 483.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -351479, 0, 1 in ascending order.\nAnswer: -351479, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(0 - -3)*-1. Let c be (-13)\/(-4) - 6\/24. Let h be -2 - (-3)\/(3\/c). Solve -2*l + g = -h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7868773?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o - 2. Let s(l) = -1. Let v(c) = p(c) - 4*s(c). Let z be (8\/6)\/((-2)\/6). Let b(w) = w - 1. What is z*b(q) - v(q)?\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.92 + 8. Which is the second smallest value? (a) -1\/3 (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 + 1071*u**2 + 27*u - 9639.\nAnswer: -3*(u - 357)*(u - 3)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/98682 and -41\/394728?\nAnswer: 394728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/22 and -27\/202009.\nAnswer: 4444198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6403563*p**3\/2 - 621128079*p**2\/2 + 850296*p - 582.\nAnswer: -3*(p + 97)*(1461*p - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/68*26*60\/(-1170)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5125*b**3*r**2 + 368*b**3*r - 86*b**2*r**2 + 45*b*r - 455*r**2 wrt b.\nAnswer: 30750*r**2 + 2208*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 12. Let k(f) = -2*f**2 - f**2 + 92130*f**3 - 26*f - 37*f + 5 - 13 + 69*f. Let l be k(o). Round l to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esssseetseesrtssste. What is prob of picking 2 e?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d = -5435 + 1352291. What is the thousands digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*c + 8*c - 4*c + 16*c to w*c + u and give w.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 2:32 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7d5 (base 14) in base 9?\nAnswer: -2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 4. Let r be o(-4). Let g(w) = -w**3 + 9*w**2 - 9*w + 4. What is g(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 324 + 372 = 0. Suppose 4*k - 8 = u + 1, u + 5*k = 0. Does 5 divide 15\/25 + s\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.22 - 10.022.\nAnswer: -1.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 3*u**2 - u - 7. Let p be t(-4). Suppose p = 2*q - m, -4*m = 5 + 15. Let f be 26\/4 + 2\/4. Sort f, q, -2 in decreasing order.\nAnswer: f, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 3, 0.1, -4.56, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 365920 - -4?\nAnswer: 365924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 + -22122?\nAnswer: -21222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g + 1. Let s(r) = 9*r + 3. Let f = 754 + -758. Give f*s(j) + 11*t(j).\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 8. What is the highest common factor of l and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.1354 rounded to one decimal place?\nAnswer: -42.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/42*(-7)\/2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 734117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + t + 1687. Is c(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.16 times 27.3?\nAnswer: 3171.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*f - 26, -3*f + 0*p + 22 = 4*p. Is ((-44)\/f)\/(4\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111 + 111100101111011000010?\nAnswer: 111100101111011111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 75320048 divided by 692\nAnswer: 108844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/7676 and -49\/25.\nAnswer: 191900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*j = 27*j - 67*j - 160 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13*2*(-294)\/343*(-1 + (-20)\/(-6))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 6630*s**2 - 2915100*s + 425293000.\nAnswer: -5*(s - 506)*(s - 410)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 128907 and 93.\nAnswer: 3996117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*i - 3*b + 95, -4*i + 98 = 2*b. Suppose 4*v = i + 410. What are the prime factors of v?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c. Let u be n(2). Suppose 0 = -5*f + 5 + 55. What is the highest common divisor of f and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.758922 take away 4227.35?\nAnswer: -4007.591078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*i = 33, -4*k - 3*i - i + 68 = 0. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86313322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*x + 15. Suppose 2*c = -x*c - 315. Let o = c + 88. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -178 at least -1069\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7815*m - 2. Let x(q) = 2571*q. Calculate p(x(z)).\nAnswer: 20092365*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 159 + -155. What is the remainder when k is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 5 = -g. Let w be (-20)\/g*6\/(-4). What is the third derivative of -z**3 - 3*z**w + 2*z**3 + z**2 wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lggglglg. What is prob of sequence ll?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -43.14.\nAnswer: -86.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (260\/104)\/(2\/4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -8 - 2 - (15 - 17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 + 80*g - 702. Calculate d(19).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 19*c**2 + 2*c - 38. Let s be o(19). Is s > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 w when three letters picked without replacement from wwull?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/3)\/d*d\/(d\/((d*d*d\/d**(-5)*d)\/d))*d**(-4)\/(d*d**(-7)\/d*d) assuming d is positive.\nAnswer: d**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*n + 5 - 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/11, 0.068, 5, 0.4, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4112500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13055209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -349*d**3\/3 - 13. Let k(p) = -2*p. Calculate y(k(o)).\nAnswer: -1396*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -499779 divided by -201?\nAnswer: 166593\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 92965882241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*d + 8*d**4 + 15*d + 26*d**2 - 3*d wrt d?\nAnswer: 192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8058 = -97*i + 1168 + 8331. What is the remainder when i is divided by 95?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 5 - 19. Suppose -9*v - 18 = 23*v + 270. Which is greater: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d**3 - 13*d**2 - 3*d - 1. Let m be q(-9). Round m to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16676, -16652, -16594, -16484, -16304, -16036, -15662, -15164?\nAnswer: -14524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 996 and 472?\nAnswer: 117528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -6. Let t = z - -9. Suppose -11 = x - 2*x + 2*p, -t*x = 3*p - 33. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.3. Let s = 328 + -326.8. Which is bigger: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 347*b**2*z**3 - 188*b*z**3 - 3*b*z**2 wrt b?\nAnswer: 694*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 3. Suppose -k + i = -2*k. Is -2 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381*t - 194*t - 262420000 = 192*t. Round t to the nearest one hundred thousand.\nAnswer: -52500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/8? (a) 27 (b) 0.12 (c) -3 (d) 1\/5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(19) - (sqrt(19) - (sqrt(19) + sqrt(209)\/sqrt(1100))**2) - (sqrt(114)*3)\/sqrt(6)))*6.\nAnswer: -18*sqrt(19) + 5997\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 74*r = 222, -r + 3764 - 3761 = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3516 + -31c?\nAnswer: 31c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1470*m + 32411 + 6805 + 28404 = 0 for m.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*p = -420, 5*g - 2*p + 410 = -0*g. Let y = g + 89. Calculate the lowest common multiple of y and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 845*s + 9302. Give f(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**2 + 3*w - 2. Is j(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3189678461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/96*3\/15?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 4*y + 1. Suppose a + 9 = 2*a. What is the smallest common multiple of z(-4) and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -24?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 629*s**3 - 10*s**2 - 631*s**3 - s + 3*s to b + r*s**2 + g*s**3 + y*s and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2263405 - -4838001. Suppose 2*j = 3*m + 1899985, -4*j + m + o = -1225399. Round j to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/6503 (b) -2\/33 (c) 2 (d) -1274\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-48) + 0\/5\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1044)\/24)\/29)\/((-12)\/28*-7)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2. Let f(o) = 8*o**2. Let k be f(w). Let i = k - 351\/11. Which is bigger: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2) - (1 + sqrt(2) + 0)**2).\nAnswer: 4*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at least as big as 29215\/4459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*q**3 + 22*q - 76\/5 - 32\/5*q**2.\nAnswer: -2*(q - 2)*(q - 1)*(q + 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1, -3\/7, -57\/20?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1742 (base 8) to base 7\nAnswer: -2620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**2\/2 + 20*g + 1. Let j be (-2168 - -2160)\/((-2)\/6). Calculate v(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m + 0*m - 8 + 14*m + 3*m - m. Let z(u) = u**2 + 7*u - 2. Let x be z(-8). Does 4 divide d(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**6\/15 + 3*y**5\/10 - 4*y**3\/3 - 11*y. Determine x, given that b(x) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 8 - 1) + (-2 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1137)\/63)\/(1\/9). Let p = 162 + d. Suppose -4 = 4*f - 20. Sort f, p, -2.\nAnswer: -2, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 + 13*q - 19. What is s(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*f = -2 - 4, 5*h = -f + 2. Suppose -72*v + 69*v + 15 = h. Solve 0*y - 33 = -v*d + 2*y, -5*d = 3*y - 13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10491743?\nAnswer: 19, 29063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 6*q**2 - 10*q + 70. Give b(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 931575786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 790037 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 10*s - 29. Let p = -813 + 820. Give j(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(35) + sqrt(70)\/(sqrt(288) - sqrt(2)) + sqrt(35))\/(sqrt(320)*1))**2)*6.\nAnswer: 11109\/3872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 973401 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123 (base 4) to base 10.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134536198 is divided by 460?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3258743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-42)*(-1)\/((-8)\/84)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.740653 rounded to three decimal places?\nAnswer: 0.741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -1081*y**2 - 35*y + 22. Let l(s) = -270*s**2 - 8*s + 5. Determine 9*l(b) - 2*u(b).\nAnswer: -268*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 9*a + 11. Let q be d(-10). Let j = q - 13. Solve -m = -5*m + j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7876 - 3396 = -8*t. Let f = t - 193. Suppose 4*j - 1316 = f. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + (3 + (23 - 34) - -19).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 2*s - 16, -3*n + 0*n + 15 = 3*s. Let k(o) = 6*o**2 + 0*o**2 + 0*o**n. Let a(t) = 2*t**2. Determine 10*a(d) - 3*k(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -19, -6, 0, -5, 11 in increasing order.\nAnswer: -19, -6, -5, 0, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + -b57?\nAnswer: -b68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 19 + 45 = 0. Suppose -2*t - v = -4*t. Round t to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + s + 11. Suppose -2*u + g + 10 = 0, -11 = u + 2*u + 5*g. Suppose u*o = 2*o. Determine t(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 9*c**4 + c**2 - c + 887. Calculate v(1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 132770035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 3:25 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 2:00 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 49743, 198971, 447683, 795879, 1243559, 1790723, 2437371?\n\"Answer: 49742*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -479.04 + 479. Let l = -13 - -9. Which is the third smallest value? (a) m (b) -1\/3 (c) l (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1974238 = -305*c - 282098. What is the highest common factor of 76 and c?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axi when three letters picked without replacement from faxxaxfaxxaii?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 8 = -2. Let n be (-1 + 2)\/(-1) - -126. Let i be -1 + 3\/5 + 50\/n. Solve 6 = -q - 2*q + j*u, i = q - u + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tth. Give prob of sequence th.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 2*i - 1. Let z(f) be the first derivative of f**3\/3 - 5*f**2\/2 - 2*f + 381. Give 5*d(b) - 2*z(b).\nAnswer: 3*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.59 - 342.59. Let p = 342.5 + l. What is the second smallest value in p, 4\/31, 6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = q + 3*h + 2, -3*h = -4*q - 6. Suppose 0 = -3*u - q - 3. Let m be 5\/4 + -1 + (-6732)\/1584. What is the closest to -0.3 in m, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133 * 0.06318\nAnswer: -8.40294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3365\/13 - -259. Let b be (7\/(28\/(-104)))\/(12\/5). Let y = -19\/2 - b. What is the third biggest value in r, y, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*i + 34*i - 20*i)*(-1 + 1 + i**2)*(-8*i + 13*i + 21*i).\nAnswer: -208*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5297\/15 - -353. Sort i, 4, -1 in decreasing order.\nAnswer: 4, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.03 and 25778679699.\nAnswer: 25778679699.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u + 53. Let o be v(16). Let r(n) be the second derivative of -9*n + 1\/6*n**3 + 1\/20*n**o + 0 + 1\/2*n**2 + 1\/12*n**4. Determine r(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -21.08. Let f = 0.03 - t. Let n = f - -0.15. Which is the nearest to n? (a) 2\/7 (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/55*-45 + (-232)\/(-4). Solve -16*h + m + 13 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 12:34 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -8*w**2 + 33*w. Let d(f) = 2*f**2 + 8. Let v(t) = -10*t**2 - 44. Let i(b) = -11*d(b) - 2*v(b). Determine y(i(m)).\nAnswer: -32*m**4 - 66*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(17) + 3)*2*6.\nAnswer: 35 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**5\/20 - 5*w**4\/12 - w**3 - 2*w**2 + 23*w + 15. Let v(x) be the first derivative of r(x). Is 27 a factor of v(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1915 + 2037. Is 104 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*-2*sqrt(2205))\/(-5*-1*sqrt(9) - (sqrt(108)*-2)\/sqrt(12)).\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(475) + sqrt(475) + -1 + 1).\nAnswer: 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -a + 4*a. Suppose 4*o - 15 = -3*l + 3*o, -a*l = o - 27. Let n(b) = 17*b**2 - 3*b - 4. What is the remainder when n(-1) is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6717 = 2388. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 11. Let r be f(-11). Factor -c**5 + 7*c**4 - 12*c**4 + r*c**3 + 5*c**2 - 4*c**5 + 5*c**3.\nAnswer: -5*c**2*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -13*c**2 - 23. Let k(f) = 27*f**2 - f + 39. What is 3*k(j) + 5*z(j)?\nAnswer: 16*j**2 - 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -50944 - -70?\nAnswer: -508a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 1a2d?\nAnswer: 1a2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 3:01 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 281 = -21. Let a = -43 + u. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55736537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24327 = 826*i + 4852 - 8609 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 - 34. Suppose 0*z + 286 = r*z. What is the remainder when 99 is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 4) to base 8\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 768 - 1535\/2. What is the biggest value in c, -1\/4, 3, -1\/32?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*d - 338 - 1019. Calculate the remainder when d is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/5, 1\/2, -0.5, 252.2, -2\/7?\nAnswer: 252.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9842 + 19339. List the prime factors of c.\nAnswer: 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12508, 12497, 12472, 12427, 12356, 12253, 12112, 11927?\n\"Answer: -m**3 - m**2 - m + 12511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -4\/3, 1\/3, -3859, 30?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25819682741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - (15 - 20)) + 10.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(450) - sqrt(450)*-1 - sqrt(450))*-4)\/(sqrt(81)*-2 + sqrt(81)))\/(6*(-1*(sqrt(1210) + -1*sqrt(1210)) - sqrt(1210))*-4).\nAnswer: -5*sqrt(5)\/198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - 30e1a?\nAnswer: -30e24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33562 and 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**5 - 108*t**4 + 1516*t**3 - 5748*t**2 + 6840*t = 0?\nAnswer: -38, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 13. Solve o*q + 3*m = -2*q - 9, -5*q = -m - 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5570, -5598, -5628, -5660, -5694?\n\"Answer: -b**2 - 25*b - 5544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -959039554 rounded to the nearest one million?\nAnswer: -959000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-70)\/(-3))\/(3\/9). Suppose 9*y - j = 4*y. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100209592621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/12 - 34\/(-12). Sort -2, m, 4.\nAnswer: -2, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4491 and 51813.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3750132 is divided by 233.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 672.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.277 + -11.723. What is the nearest to 1 in -5, 1\/6, g, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**3 + 2613*a**2 + 567672*a - 570288 = 0?\nAnswer: -436, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 107*w + 3320. Determine k(-31).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3) - (1 + (-28)\/12). Calculate the smallest common multiple of 21 and 2 + d\/(1\/7).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 10:17 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 divided by 14280?\nAnswer: 101\/14280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24547297.\nAnswer: 19, 1291963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*5\/25*98\/(-56).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*u + 9*u - u + 11*u**4 - 89*u - 8*u**4 + 89*u + (-u**3 + 3*u**3 - 3*u**3)*(-4*u + 2*u + 0*u) - 2*u**4 - 3*u**4 + 6*u**4.\nAnswer: 6*u**4 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87 - 84. Let u(v) = 124*v**2 + 14. Let c(q) = 25*q**2 + 3. Let a(p) = z*u(p) - 14*c(p). Let y(g) be the first derivative of -2*g**3\/3 + 3. Give y(a(i)).\nAnswer: -968*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 9\/(-9))\/(32\/(-192))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65253\/5 or 6\/181?\nAnswer: -65253\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0*z - 5*k + 47, -3*z - 3*k + 45 = 0. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmymyymyymyyyymymm. Give prob of sequence mmym.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 966 + 41*m + 963 - 1925. Let p(a) = 10*a**2. Give p(t(j)).\nAnswer: 16810*j**2 + 3280*j + 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -32772467 smaller than -1\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11557307.9 rounded to the nearest 1000?\nAnswer: -11557000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17951389007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z - 19. Calculate the least common multiple of 34 and t(-5).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 461842074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.473 + -0.55. Let r = 0.323 - y. What is the fourth smallest value in -3\/2, -0.2, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229 + 71 = 3*s. Suppose -3*i - 5*d + s = 26, -3*d + 84 = 3*i. Calculate the greatest common divisor of 22 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*m - 8 = 0, -2 = 5*z - z - m. Suppose 13*l + 3 = 14*l. Let h(k) = k**3 + 8*k**2 + 3*k - 8. Let p be h(-7). Solve b + l*b - p = z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 40*o - 1492. What is the least common multiple of y(45) and 77?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*v + 11*v + 3*v + 2*v**2 + 8*v wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -5 (b) -2 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i**3 - 37*i**2 + 488*i - 8. What are the prime factors of d(11)?\nAnswer: 2, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011001110 (base 2) to base 6.\nAnswer: 14234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vau. Give prob of picking 1 a and 1 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 3*g - g)*(3 - 3 + 3*g).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -33*c**5\/20 - c**4\/6 + 5*c**3\/6 + 1104*c**2 + 1622*c. Differentiate j(t) with respect to t.\nAnswer: -99*t**2 - 4*t + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + 0 + 0 - sqrt(396) - 2*sqrt(396)*2.\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -7. Let o(d) = 7*d + 3 - 7 + 2*d**2 + 3. What are the prime factors of o(x)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 m when three letters picked without replacement from guuuuuumgugguuugmmm.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p**2 + p. Let a be (3\/9)\/(3\/(-9)). Let x be c(a). Let k = -5 - x. Solve -k*t + h = 6*h - 17, 3 = h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 12*w**2 - 11*w - 8. Let x be g(13). What is the smallest common multiple of -1 - (x\/3 + -10) and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 10*u**2 - 71*u + 21. Let m be z(-5). Let g be (28\/18)\/(-2) + 1. Which is the closest to -2\/3? (a) m (b) g (c) 0.2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) 17\/8 (c) 0.1 (d) -5 (e) 16\/3 (f) -193\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 554.8192l in millilitres?\nAnswer: 554819.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/((-63)\/28))\/1. Let l be -3 - (-6)\/(-9)*-3. Let f be l + 1*(-2)\/v. Sort 4, 0.19, f in increasing order.\nAnswer: f, 0.19, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 626 and 10?\nAnswer: 3130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 40*q + 3 + 47*q in the form u*q + k and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 1)*(2*d**4 - 2*d**4 - d**4) - 2*d**4 - 3*d**4 + 2*d**4 - 76*d**4 - 70*d**4 + 16*d**4)*((1 - 2 - 1)*(2 - 6 + 3) - 2 + 0 + 3 + 1 - 2 - 1).\nAnswer: -131*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 5*u**2 - 6*u + 4. Let m be l(6). Let g(z) = -5*z - 1 - m*z + 16*z. Let t(y) = 4*y. Determine 3*g(i) - 5*t(i).\nAnswer: i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -21?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, 13\/5, -1, -82273?\nAnswer: -82273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556196?\nAnswer: 2, 211, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 3*p - 21, 8*p + 21 = 2*t + 3*p. Solve -3*f + 3*n - 12 = 5*n, 3*n - t = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**2 - 27*g - 6. Let w be d(-10). Sort -3, 5, w, -1, -2.\nAnswer: w, -3, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -481405617*t**4 - 376381727?\nAnswer: -1925622468*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p + 12*p - 53*p + 39*p + 19*p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7336701 (base 11) to base 5.\nAnswer: 11302434322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (3 + -5 - -5). Solve 12 = 3*a + 3*y, w*a = 3*a - 2*y + 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1398)\/(-15)*(-1335)\/(-178) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 5. Let n be i(-5). Suppose n*w + 3*w = -18. Let s(c) = 4*c**2 + 11*c + 7. Let o(a) = -a**2 - 3*a - 2. Calculate w*s(b) - 22*o(b).\nAnswer: -2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -36. Solve 4*u = 2*p - u - 13, -f*p - u = -11 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 2*d + 25. Let h be b(0). Let z(q) = 3*q - 1. Let t be z(4). Let k = h - t. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 + -59. Let z be (-840)\/(-945)*(n\/4 - 1). Suppose 5*v = -3 - 17. Is v bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69384 and 11151?\nAnswer: 624456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7301969, 7301955, 7301941, 7301927, 7301913?\n\"Answer: -14*r + 7301983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**5\/60 + r**4\/24 + r**3\/6 - r**2. Give j(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(612)*-3)**2 + 3.\nAnswer: 72*sqrt(17) + 5515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*l + 24, 3*u = 2*u + l + 6. Suppose 7*a = 6*a + 36. Suppose v = 2*t - 29, a + 13 = u*t + 4*v. Calculate the remainder when 29 is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -1. Let d(c) = c + 3. Give d(t) + 3*j(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1713974 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1986, -1819, -1652, -1485, -1318, -1151?\n\"Answer: 167*z - 2153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 326525 and 535945?\nAnswer: 945942925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2520217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/(-192) - (-26)\/(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -37. What is the second derivative of 2*p**2 - 8*p**3 + 9*p + k*p**3 - 2*p**2 wrt p?\nAnswer: 66*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 724640847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 1 = 2*g. Suppose 0 = u - 2, b - 6 - 9 = -2*u. Suppose -b = g*c - 6. Which is greater: c or -16\/17?\nAnswer: -16\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-48)\/30)\/((-28)\/(-770)). What is the remainder when 54 is divided by w\/(-3) - 17\/((-51)\/(-2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 322200 - -20?\nAnswer: 322220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4738)\/284280*285*-12.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -318288 divided by -38\nAnswer: 8376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 0*x + 372 = 0. List the prime factors of x.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33429548?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/267 and -85\/2161107.\nAnswer: 192338523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-5) + (-20)\/(-25). What is the tens digit of -5 + o - -2 - -107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 10*k**2 - 397*k - 135. Let t be v(41). Solve -t*y = -396*y + 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = 9*l - 67*l. Let o(t) be the first derivative of 5\/4*t**2 + 4 - 5\/4*t**4 + 5\/12*t**6 + t**l + 5*t - 10\/3*t**3. Find f such that o(f) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-77) + 20\/(-110)*-75?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q. Let d(l) = -93379*l - 27. What is d(m(y))?\nAnswer: -186758*y - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16280 and 539.\nAnswer: 797720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7873424663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 946 (base 10) in base 16?\nAnswer: 3b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*p = -161*p - x + 2, 3*x = 3*p - 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2375\/133 + -20 + 536\/224?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247137281.\nAnswer: 7477, 33053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from htphggptthntggnphhnh.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202893136.\nAnswer: 2, 12680821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5714 + 4089 = -a, -5*a = -10. Let d = c - 1255. What are the prime factors of d?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-138)\/(-378) - 4\/18)*1. Let s = -0.94 - -1. Let a = s + 1.94. What is the third biggest value in a, v, 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1137 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -11*y**2 - 2*y. Let b be -2 + (6 - (-2 - -3)). Let q(o) = 5*o**2 + o. Calculate b*u(s) + 7*q(s).\nAnswer: 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -8 - (-36)\/18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*t + 38*t = -21. Let j be 4\/(((-4)\/3)\/((-2)\/t)). Factor 1\/3*n**j - 2\/3 + 1\/3*n**4 - n + n**3.\nAnswer: (n - 1)*(n + 1)**2*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*h - 64*h - 9 + 9.\nAnswer: -117*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 0.145, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-2\/5)*t))\/t*t*t*t\/(t\/t**(2\/7))*t*(t*t**(-1\/3)\/t*t)\/t**6*(t**0*t)**47*t**(1\/7)\/t*t**(-3) assuming t is positive.\nAnswer: t**(4147\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*g + 392 = 1283. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Let g be (-80)\/15*(18\/(-8) + 0). Let j = g - s. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/5 - 486*u**2 - 12087*u\/5 - 1932.\nAnswer: -3*(u + 1)*(u + 4)*(u + 805)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1073867268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17919835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.7 - 1.7. Which is the third biggest value? (a) t (b) -2\/3 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94191 is divided by 125.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10333961*g**2 + 25972648 with respect to g.\nAnswer: 20667922*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -7*z**5\/20 + 52*z**2 + 2. Let g(p) be the second derivative of p**3\/6 + 34*p. Calculate u(g(w)).\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**6\/180 + d**3\/6 + d**2. Let k(s) be the first derivative of c(s). Let v(r) = 7*r + r - 4*r. Give v(k(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9*k**2 - 7*k. Let m(v) be the first derivative of 10*v**3\/3 + 3*v**2 + 24. Let a(c) = 4*g(c) + 5*m(c). Find the second derivative of a(n) wrt n.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -20*q + 18*q + 26, -4*q + 16 = -4*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1401 + -775b4?\nAnswer: -761b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(72)\/sqrt(24)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1557 by 5.\nAnswer: -1557\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + 4*h**3 - 5*h**3)*(-2*h**2 + 3*h**2 + 0*h**2) + (-15 - 64 + 9)*(-2*h**5 + 2*h**5 + h**5) + 8*h**5 + h**5 - h**5.\nAnswer: -64*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 = -3*l + 2*w - 130, 7*l - 3*w - 38 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 4*r - 6. Let w = 4 - 2. Let u(z) = 4*z**2 - 17*z - 25. Give w*u(h) - 9*o(h).\nAnswer: -h**2 + 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 13*r**2 - 15*r - 11. Let u be l(-14). Let f be -179 - (u + -15)\/3. What is the tens digit of (2 - f)*(-1)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (-43 + 45)) + -43 + 145\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 18*s - 231. Give h(15).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.2 (c) 0.39 (d) -36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/4 + 105*s\/2 - 621\/4.\nAnswer: -(s - 207)*(s - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + n**3 + 14 - 10*n - 49 + 15 + 2*n**2 to the form d + z*n + m*n**2 + w*n**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 2*m**5\/5 - 57*m**4\/2 + 526*m**3\/3 - 147*m**2 - 936*m - 1790. Factor n(j).\nAnswer: 2*(j - 52)*(j - 3)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3975630 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - -0.8. Let o = 3104 - 3102. Which is the nearest to t? (a) -6 (b) o (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w. Let k = -4 - -8. Let c(r) = -r**3 + 5*r**2 - 5*r + 6. Let x be c(k). Let j(d) = 5*d**2 - 5*d**2 - d**x. What is z(j(i))?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fnlnlnnflllnfnnfn?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*o*z - 164*o - 3*z wrt z.\nAnswer: -19*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8164 (base 11) to base 3\nAnswer: 112212110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: da (base 16) to base 14\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4264 - 2067. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*k**2 + 6*k**3 - 58*k**2.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 l, and 1 w when three letters picked without replacement from qjwwwwjlwwq.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -26*y - 20. Let h(t) be the second derivative of -3*t**3\/2 - 7*t**2\/2 + 41*t. Let k = -1281 - -1264. Determine k*h(b) + 6*l(b).\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from muuusull. What is prob of sequence ll?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 6 = -a + 11, -4*a + 65 = 5*l. Let m(z) = 2*z**2 + 2. Let c be m(-3). Is c equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -150\/11 or 16442?\nAnswer: -150\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 2*n + 0*n)*(-5*n**3 + 0*n**3 + 4*n**3) + 47*n**4 + 4*n**4 + 97*n**4 - 5*n**4 + 159*n**3 - 159*n**3.\nAnswer: 142*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(432) + 1 + 0).\nAnswer: 4 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 74.66797 decades?\nAnswer: 746.6797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 481*i - 13950. Give t(29).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 56\/21*6\/32*4. Suppose 3*w - d - 7 = 0, 0 = 2*f - w - 119. What is the remainder when f is divided by 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 196 - 865 = 2*g, -2*u + 462 = 4*g. Suppose 309 = 7*j + u. Calculate the remainder when (-2)\/(-9) - 718\/(-9) is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-7)\/l*l*l**(1\/3)*l*l**(-4)*l**(2\/3)*(l**(-2\/7))**(2\/3)\/(l*l*(l*l**(1\/7)\/l)\/l*l*l*l**(-4)) assuming l is positive.\nAnswer: l**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -266.9 - -260.9. Which is the closest to -10? (a) -2 (b) h (c) 3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 323 = 377 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 339841, 679684, 1019527, 1359370, 1699213, 2039056?\n\"Answer: 339843*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461559579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 189748.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -153*l**7\/70 - 269*l**4\/12 + 2*l**2 + 115. What is the second derivative of x(h) wrt h?\nAnswer: -5508*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1200, -705, 3150, 12045, 27660?\n\"Answer: 280*r**3 - 1465*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k - 1 - 1 + 0*k. Let a be (1*4\/(-2))\/((-22)\/(-55)). Determine j(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9848580614 and -0.4.\nAnswer: -9848580614.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -14\/3*h**2 + 2\/3*h**3 + 10*h - 6 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y. Let t(s) be the second derivative of -s**3\/6 - 3*s. Let f(j) = 2*j. Let a(g) = -3*f(g) - 7*t(g). Give n(a(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - t + 6. Let x be k(0). Let o = -4 + x. Let q be (3\/o)\/((-3)\/(-4)). Solve -q*w - 2*g - 2*g - 12 = 0, -22 = -3*w + 2*g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -296 - -368. Sort 0, t, 1 in decreasing order.\nAnswer: t, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 + h**2 + 29*h**3 - 30*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -180 + 200. Suppose 0 = -s*h + 3556 + 6424. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 6.4940379 hours?\nAnswer: 0.0386549875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -3, 111, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0468503 micrometers in millimeters?\nAnswer: 0.0000468503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -128040 divided by 6?\nAnswer: -21340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*sqrt(432)*-3 - -2*sqrt(432)*-6)**2.\nAnswer: 97205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -125333 (base 8) in base 5?\nAnswer: -2344424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**4\/13 - 1266*k**3\/13 + 8972*k**2\/13 + 7536*k\/13 - 92160\/13 = 0?\nAnswer: -640, -3, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2328542501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from jjjljjjlllljjlllljj?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 4216 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 1:52 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p**3 - p**2 + 2*p + 4*p**3 - 21*p**2.\nAnswer: -10*p**3 - 22*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 0*r - 1\/180*r**6 + 1\/630*r**7 + 0*r**4 + 1\/180*r**5 - 3*r**2 + 0 + 0*r**3. Factor d(q).\nAnswer: q**2*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*((sqrt(2057) - sqrt(2057)*2)*-2 + sqrt(2057) + -1*(sqrt(2057) + -1))*5)**2.\nAnswer: 4400*sqrt(17) + 822898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h + 33. Determine t(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/2 and 85\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 29. Sort -1, -2, h.\nAnswer: h, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 59*l + 783. Calculate w(-71).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1231259254, -1231259253, -1231259252, -1231259251, -1231259250?\nAnswer: -1231259249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3*(-2 + sqrt(80)) - 6*-2*sqrt(80)))**2.\nAnswer: -25920*sqrt(5) + 649296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -21 (c) 1\/48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*g + 60 = 0, 2*g - 43 = 5*a - 255. Suppose 5*h - a = -n, -4*h - n = n - 34. What is the smallest common multiple of h and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6\/359?\nAnswer: 6\/359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**4 + 256657*h**2 + 1351278*h - 2 wrt h.\nAnswer: 12*h**2 + 513314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1 - (1 + 0 + 0)) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -367528 (base 10) in base 8?\nAnswer: -1315650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6568 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 966.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9*z. Let y(x) = -9*x + 3*x + 7*x. Calculate y(r(s)).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h + 5. Let i be j(-3). Let q be (-51)\/9 + (-4)\/(-6). Let w be ((-2)\/q - 0)*1. What is the nearest to w in -3, i, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220 and 391620?\nAnswer: 4307820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 427, 1690, 3779, 6682, 10387, 14882?\nAnswer: 20155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 0.7 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.267032153 rounded to one dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 6:32 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/55 and -137\/16610?\nAnswer: 16610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 71, -33\/14 in descending order.\nAnswer: 71, 4, -33\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + 10. Let h = a + -45. Do h and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -660 times 0.00806\nAnswer: -5.3196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -296.2 (c) 4 (d) -45 (e) 2\/17 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291 + 31 = 16*r - 26*r for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*n**5 - 3*n - 5*n - 27*n**5 wrt n.\nAnswer: -180*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 2*k**2 - 2*k**2)*(-3*k + 4*k - 3*k) + (2*k - 2*k + k)*(-k**2 + 3*k**2 - 3*k**2) - 17511*k - 486*k**3 + 17511*k.\nAnswer: -489*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 1. Suppose -5*p = 8 + 2. Let s be (-2 - 22\/(-5))\/((-6)\/15). Let b(z) = 3*z**2 + z - 7. Let m(n) = p*b(n) + s*x(n). Suppose m(l) = 0. Calculate l.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(0 + 2 + 0). Suppose 2*v = -2*v, k = -4*z + 2*v. Let -2\/7*b**3 - 2\/7*b**2 + 0*b + z = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 4550?\nAnswer: 40950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 5:01 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 255965, 511941, 767917, 1023893, 1279869?\n\"Answer: 255976*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 12:25 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -3.9. Let p = 0 + 0. Let g = -14 + 9. Which is the closest to t? (a) 4 (b) g (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 13 - 15 + 2*p)*(2*p + p - 2*p).\nAnswer: 2*p**2 - 17*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 257475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 375 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - (-11 + 18)) + -15 - (-58 + -5).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13993348?\nAnswer: 2, 19, 101, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74 - -47. Which is greater: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 247 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s - 240. Let k(c) = -5*c**2 + 7*c**2 - 3*c**2. Calculate a(k(g)).\nAnswer: 2*g**2 - 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -524\nAnswer: 3\/524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 243, 272, 301, 330?\n\"Answer: 29*w + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -0.71 (c) -2 (d) -465272\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1335, 2902, 4469, 6036?\n\"Answer: 1567*l - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -207 - -364. Suppose 3*v = 3*f - h - 29, -5*f - 2*v + 282 = 0. List the prime factors of f.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 2. Let l(f) = 12 - 3*f**2 - 8 - 2*f - 5. Determine l(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548860041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7072057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 5*t - 136, -3*u = -4*t + 3 - 74. Let r be (-4 - -2) + 2 + 5. Let s = 15 - r. What is the remainder when u is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 1299*u = -1294*u, 4 = 5*n - 4*u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1288166 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-23)\/(-2))\/((-15)\/(-30)). Let y = -18 + q. Suppose -l - y*h + 503 = -2*h, -962 = -2*l + 5*h. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + ((-4)\/6 - (-55)\/15). Let d = 45 + -45. Suppose 2*h = 3*h. Solve -f*l = -d*a - 3*a, 3*l + 6 = h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153\/34*(-100)\/45.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 12*g**2. Let q(z) = -7889 + 5*z + 7889. Determine b(q(k)).\nAnswer: 300*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 5*z**7\/42 - z**6\/6 - z**4\/4 + z**2\/2 + z + 100. Find the third derivative of v(s) wrt s.\nAnswer: 300*s**2 - 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/75 of a minute?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w. Let b = -1 + 6. Suppose b + 1 = j. Let u(c) = -38 + 38 + j*c**2. Calculate u(l(h)).\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g**2 - 2*g - 1. What is the tens digit of y(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -8009 + 3851. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.08401 (b) 37 (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*a**2 - 37*a**2 + 52*a**2 + a**3 to f*a**3 + d*a**2 + n*a + p and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -b79b3 (base 12) in base 2?\nAnswer: -111010111111010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdajjiz. Give prob of sequence azj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 42.67?\nAnswer: -128.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 467*a + 2*a**2 - 467*a. Let k(m) be the first derivative of 2*m**3\/3 - 15*m + 17. Let y(g) be the first derivative of k(g). What is y(u(f))?\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) - 5*sqrt(1872)) + sqrt(1872) + -4)**2.\nAnswer: 288*sqrt(13) + 16864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7545 and 4415334?\nAnswer: 22076670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 3*v - 22, 0 = 930*v - 937*v + 5*h + 44 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -38. Let b(j) = j**2 - 6*j + 10. Let s be b(x). Solve -a - 10 = -s*q, -q + a + 5 = -4*a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3 (b) 1.6 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.1 - -3. Let l = -0.28 + 3.78. Let b = l - 3.3. What is the closest to x in 3\/5, -2\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 1 + r)*(467 - 467 + 437*r) in the form c + x*r**2 + j*r and give j.\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-2))\/((-6)\/6). Find the common denominator of (2\/24)\/(i\/(-81)) and 17\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -z, 2*z + 0*z = v. Suppose 0 = 2*i - 5*w - 20, i + v*w + 20 = -5*w. Solve -5*r = -4*j + 9, -r + 4*j + i = -11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -151 - -405. Calculate the remainder when t is divided by 65.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*w - 35*w**4 + 22*w**2 - 41*w**4 - 84*w + 16*w**4 wrt w?\nAnswer: -1440*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3321 (base 4) in base 6?\nAnswer: -1053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2311*h = 2266*h - 900 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r - 2. Let c(y) = 8*y + 2. Let f(m) = 2*c(m) + 5*s(m). Let g(a) = 1. Determine -f(i) + g(i).\nAnswer: -i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 65, 1010, 2037, 3146, 4337, 5610?\n\"Answer: 41*l**2 + 822*l - 798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 897875 and 31625?\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 1\/1612, -45?\nAnswer: 1\/1612","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 3084 + 3066 = -v, -v - 18 = 5*f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 133*d**2*j**3 - 3*d**2 - 3*d*j**3 + 2*d*j**2 + 3*d + 17142*j**3*s + j + 1192*s - 1 wrt j.\nAnswer: 798*d**2 - 18*d + 102852*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.36 and 85.\nAnswer: -30.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 348 - 349. Let s be 11 + 5\/g + 15. Solve 0*q = 4*q + 20, z = 4*q + s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m, 5*h = -m + 925 + 500. Suppose -5*u + h = 265. Solve -c = -u*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18922 minus -0.3?\nAnswer: 0.11078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 897536 divided by 512.\nAnswer: 1753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.51 * 17.61152.\nAnswer: -44.2049152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*b = 44*b + 318 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 5. Let x be y(5). Let b be (-4)\/x + (-8)\/10. Suppose 2*o - 3*i - 12 = -o, 3*o - 5*i - 18 = 0. Is o less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - x - 6. Suppose 0 = -2*c + 2*q - 8, c - 2*q + 5*q - 12 = 0. Let u be a(c). What is the units digit of (-16)\/6*9\/u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*q - 360 = -185*q. Calculate the remainder when 430 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*o + 0*o = -274, 0 = -3*o - 9. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 10*x**3 + 16*x**2 - 130*x + 63. What are the prime factors of z(21)?\nAnswer: 3, 7, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2526297 rounded to three decimal places?\nAnswer: 0.253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -237615*x**5 - 26*x**4 - 89*x**2 + 102583*x + 1.\nAnswer: -14256900*x**2 - 624*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5056613941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11\/(-2) + 4)*-2. Suppose -8 = -d*b + b. Factor 7 + 16*w - b*w + 1 + 4*w**2.\nAnswer: 4*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11457*i - 4*i**2 + 11457*i.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/5)*q)**(-7\/3)\/(q\/(q\/(q**3\/q)))**(-31) assuming q is positive.\nAnswer: q**(282\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 + -75. Suppose 3*i - g*o - 337 = 0, -o = -5*i + 559 - 3. List the prime factors of i.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2081, 4183, 6283, 8381, 10477?\n\"Answer: -s**2 + 2105*s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -6. Suppose x*h = 5*a + 10, -5*a + 7 = 2*h - 13. Solve 3*j - 10 = 5*v, a*j = 6*j - 20 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 and 138.\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.55 - 0.25. Which is the biggest value? (a) 1 (b) o (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-1\/2)*j\/((j\/(j*j\/(j*j*j**(-5))))\/j))**(-2\/129))**(-15\/2) assuming j is positive.\nAnswer: j**(75\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3808, 7618, 11428, 15238, 19048?\n\"Answer: 3810*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 103282 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -9 + 9 + 10 + -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n**2 - n**2 + 6*n**2)*(3 - 1 + 3)*(2 + 1 - 6 + (3 + 3 - 3)*(-2 - 4 + 5)) + n**2 - 92 + 7*n + 3*n - 12*n to i*n**2 + o + b*n and give i.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.87 + -5.87. Let d = -0.5 - -0.8. What is the nearest to d in i, 5, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4145 by 72.\nAnswer: 4145\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from {r: 3, b: 3, g: 1, p: 1, i: 2, v: 5}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) - sqrt(24)\/sqrt(4))\/sqrt(3))**2 + (sqrt(98) - (sqrt(98) + sqrt(98)*3)).\nAnswer: -21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 + 66*m**2 + 16*m - 60. What is the units digit of n(32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 22\/4)\/((-33)\/(-242)). Suppose -2*j = -5*o + 2*o + 49, -3*j = -4*o + 65. Let p = -29 + o. Which is bigger: n or p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*r + 40 = -10*z, 2*r - 2 = -2*z. Let u be 41*((z - -5) + 0). Suppose u = 4*m - 71. Calculate the remainder when m is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*j + 17 = 0, 0 = 7*l - 12*l + 4*j + 28. Factor 13*n**2 - 26*n**2 - 5*n + l*n**2.\nAnswer: -5*n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7*p**2 + 6*p + 2. Let t be 63\/(-7) - (-40)\/5. Let a(w) = -w**2 + w. Determine t*f(q) + 5*a(q).\nAnswer: 2*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(66) + 2*(sqrt(66) + sqrt(66)*3) + sqrt(66) + sqrt(66) + -6*3*sqrt(66))\/(2*sqrt(600)*-2*-4))**2.\nAnswer: 539\/6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -0.4 (c) 28\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6906214 + 250276.61?\nAnswer: 7156490.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, -0.04, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t - 4. Let d(g) = 2*g**2. Give v(d(y)).\nAnswer: -4*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -31. Suppose -w = 3, -l*k + 0*k - 5*w = -159. Is 29 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 g, and 1 z when four letters picked without replacement from {z: 1, g: 2, v: 14, b: 2}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*d - 2280 - 16593, 0 = 5*p - 2*d + 94475. Are p and -18893 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 699 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -441, -3144, -7643, -13932, -22005, -31856, -43479?\nAnswer: -56868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 579 (base 10) to base 13\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*sqrt(15)*3)\/((sqrt(528) - sqrt(33))\/sqrt(11)).\nAnswer: -2*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h - 26. Let t be w(-9). Let u be 5\/35 - (-69)\/7. What is the highest common divisor of u and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 67? (a) 0.5 (b) 0 (c) -0.2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-22)\/8))\/(3240\/3564).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 5 - 98*p + 3*p**3 - 4 + 15*p**2 + 22*p**2 - 39*p**2 as y + f*p**2 + s*p + c*p**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-27)\/(-3))\/(1\/(-16)). Let d be y\/(-60) - (-4)\/(-10). Solve 2*a - 3*g = -2*a + 4, d*a - 4*g = -8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508219654 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93 or -236?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-442*w + 16*w - 36 + 410*w)*(-2*w**2 + 6*w**2 - 2*w**2).\nAnswer: -32*w**3 - 72*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31, 28, 25?\n\"Answer: -3*c + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88959166189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 0, 0.0468?\nAnswer: 0.0468","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1153)\/((1 - 150\/24) + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10*f. Let q(j) = 4*j**2 - 15. Let b(o) = -10*o**2 + 28. Let s(w) = -3*b(w) - 7*q(w). What is p(s(r))?\nAnswer: 20*r**2 + 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5069103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -161*f**4\/6 - f**3\/6 - 301*f**2\/2 + 336*f. What is the second derivative of d(o) wrt o?\nAnswer: -644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.826 rounded to 1 dp?\nAnswer: -8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + 4*(-1)\/2. Let p be 11 - 0 - (w + -3). Let a be (-1)\/12*2 + 487\/6. What is the highest common factor of a and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33805 + -235755\/7. Let y = n - 126. Let t = 3 + -3. Which is the nearest to 1? (a) y (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 - 2050*p**2 - 2053*p**2 + 4103*p**2.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*((-4 + sqrt(80)*-4 - sqrt(80)) + (-2*-3*sqrt(80) + sqrt(80))**2 + 3).\nAnswer: -11756 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(((c**(-1\/6)\/c)\/c)\/c*c)))\/(c*(c*c**(1\/10)*c*c)\/c))\/((c*c\/(c*c*c**(1\/17)))\/(c\/(c\/(c\/c**(12\/5))))) assuming c is positive.\nAnswer: c**(-337\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/4)*k*k*k**(-12))\/(k*k\/((k**7*k)\/k))**(-49) assuming k is positive.\nAnswer: k**(-1023\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -854*i = -1181*i - 1077*i - 29484 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 16069870.\nAnswer: 1\/3213974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185163, -182311, -179459, -176607, -173755, -170903?\nAnswer: -168051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 72 = -3. Let z be 15\/5 + (-1 - -3) + 1. Suppose -y + z*y = -v. Put 0, y, 8, -1 in ascending order.\nAnswer: y, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8543280 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -4 (b) -0.3 (c) 5 (d) -1011 (e) 785\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -8 in decreasing order.\nAnswer: 7, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20465, -41073, -61679, -82283, -102885, -123485, -144083?\nAnswer: -164679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 84400.827 hours in weeks?\nAnswer: 502.385875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 0 (b) 0.43 (c) 2\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 + 8534?\nAnswer: 8559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + (5*((sqrt(72) + 2 - sqrt(72))*-6 - sqrt(72)))**2*4.\nAnswer: 14400*sqrt(2) + 21607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 7:00 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148348050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26.7802226349 and 9?\nAnswer: 35.7802226349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211994*i - 211996*i + 7*x - 185 = 0, 0 = -3*x + 81 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -107*u**3 + 4*u - 2. Let a be i(1). What is the common denominator of -89\/14 and -2 - (558\/a - -5)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190795999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w**2 + 8*w - 8. Let i(p) = p**2 + p - 1. Let n = 57 + -43. Determine n*i(u) - 2*b(u).\nAnswer: 2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -419, -312, -79, 364, 1101, 2216, 3793, 5916?\n\"Answer: 14*m**3 - 21*m**2 + 72*m - 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 439729 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1843 + 3438. Let v = 3255\/2 - x. Calculate the common denominator of -133\/12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b5cb + 33?\nAnswer: 1b5fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51262 and 497.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1358453?\nAnswer: 17, 41, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 7*a**2 + 11*a + 10. Suppose c - 3*q = -14, -4*c + 19*q - 22*q = 26. Calculate v(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 572832*a**2 + 382128?\nAnswer: 1145664*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40665 + 40705.3. Put g, 2\/29, 1, -3 in increasing order.\nAnswer: -3, 2\/29, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -0.157175.\nAnswer: 0.342825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.31 + -1.084. Let z = x + -0.116. Which is the third smallest value? (a) z (b) -2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157654016.\nAnswer: 2, 13, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -796.755572 rounded to the nearest integer?\nAnswer: -797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439*z**2 + 20*z - 20*z + 435*z**2 + 21 - 877*z**2.\nAnswer: -3*z**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 78*l - 37. Let k(c) = -77*c + 43. Let j(m) = -6*k(m) - 7*q(m). Let t(u) = u. What is j(t(z))?\nAnswer: -84*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5 + 3 - 4 - 1 - k. Let y = -4 - -10. Let m(f) = 3*f - 5. Let l(x) = y*m(x) + 10*w(x). Give l(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/26058 and 95\/12.\nAnswer: 52116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b8c20 (base 14) to base 9.\nAnswer: -3780271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/85 and 35\/2.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -515*m**8\/56 - m**6\/15 + 1625*m**4\/6 + 14*m + 19. Find the third derivative of i(a) wrt a.\nAnswer: -61800*a**3 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17270965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6264068nm to millimeters.\nAnswer: 0.0000006264068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*b. Suppose n - 6*n + 20 = b. Solve -1 = -3*j - 5*g + n, 3*j = 5*g - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 1 = 6. What are the prime factors of l + 1 + -6 - -50?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**4 + 10*v**3 - 466*v**2 + 13*v - 900. Let o(a) = 2*a**4 - 8*a**3 + 467*a**2 - 10*a + 901. Let y(g) = 4*n(g) + 5*o(g). Differentiate y(h) wrt h.\nAnswer: 8*h**3 + 942*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54661.505 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -55, -204, -623, -1450, -2823, -4880?\n\"Answer: -23*l**3 + 3*l**2 + 3*l - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 194 + -194.117. What is o rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 - (18 - 18) - -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 7:50 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 0.2 (c) 5 (d) 3014\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 202.277 * -0.15\nAnswer: -30.34155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a day?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11*4)\/(-26*2\/(-26)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 9 = 5*h + 4, 5 = 3*h + 2*b. Sort -5, h, 8 in ascending order.\nAnswer: -5, h, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - d)*(-3*d + 0*d + 2*d + (4*d + 0*d - 2*d)*(2 + 1 - 5) - d + 3*d - 5*d)*(3 + 1 - 6).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 - 5*r + 19. Determine p(-9).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhss when four letters picked without replacement from sedddecssscsssdhcss.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -53182, -211043, -474144, -842485, -1316066, -1894887?\n\"Answer: -52620*l**2 - l - 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19.02 - -17.4. Let z = l + 85.62. Let s = z - 83.92. Round s to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 641, 2416, 5353, 9446, 14689?\nAnswer: 21076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 4 + 2*g**2 - 3 - 2. Give q(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 11:21 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + i**2 + i + 2. Let p(f) = f**2 - 5*f - 8. Let j be p(6). Let r be l(j). Let n be (1\/(-11))\/(r\/16). Is n less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108*n**3 - 467*n**2?\nAnswer: -648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 + o**2 - o**2. Let w(y) = -7*y**2. Suppose -2*a + 10*a + 40 = 0. Calculate a*f(l) + 2*w(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 20 = -3*s, -10 - 15 = 4*s + 5*w. Suppose 4*f - 552 = -2*n, s = -3*f - 4*n + 3*n + 416. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 12*b**3 + 5*b**2 - 18*b - 53. Let w(h) = 7*h**3 + 2*h**2 - 10*h - 26. Let z(v) = -3*p(v) + 5*w(v). What is the least common multiple of z(-7) and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 7*c = 2*c - 50, 0 = 2*g + 5*c - 55. Suppose 2*b - g = 5*t, 2*t + 2*t = -b + 1. Suppose 2*f - 5*h + 5 = 0, b*f + 3*h = h + 31. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288300\/(-8649)*(-6)\/8?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**3 + p**2 - 4*p. Let q(s) = -6*s**3 - 2*s**2 + 9*s. Give 9*b(u) + 4*q(u).\nAnswer: 3*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - i - 4. Let n be h(3). Let g(l) = 11*l - 1. What is the tens digit of g(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 99?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1045 + -47023\/45. Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231.97 + -5561.9664?\nAnswer: -5329.9964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 - 3*m**2 + 3*m**2 + (1 + 0 - 2)*(-20*m**2 - 9*m + 9*m) + 0 - m**2 + 0 - 1.\nAnswer: 17*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -17*h**3\/3 + 377. Let d(y) = -10*y. Calculate d(u(g)).\nAnswer: 170*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12872 divided by 5.\nAnswer: -12872\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4091*i**2 - 9687*i**2 + 0 - 3*i - 7. Let a be y(-3). What is a rounded to the nearest one thousand?\nAnswer: -124000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 410*a**2*z + 18*a*z + 5*a wrt a.\nAnswer: 820*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from mucafyuc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**6\/40 - c**4\/24 + c**2 + 2. Let s(t) be the second derivative of b(t). Find the second derivative of s(i) wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2 - 0) + 3 + -8 + 1 - -2) + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z + 16. Suppose -5*x + 2*v + 3*v + 20 = 0, -3*x = 4*v + 9. Let t(r) = -5. Let a(n) = -9. Let i(l) = -6*a(l) + 11*t(l). What is x*y(w) + 16*i(w)?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2, -21, -80, -193, -378, -653, -1036, -1545?\n\"Answer: -3*u**3 - 2*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21610304059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**10*y)\/y*y*y\/y**(-4)*y)**(7\/2) assuming y is positive.\nAnswer: y**(119\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -436 + 453. Solve -3*a + 2 = 8, -3*b = -4*a - p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7879 is divided by 1374.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*o - 6. Let b(h) be the third derivative of 0*h - 2*h**o - 1\/112*h**8 - 1\/120*h**6 + 0*h**3 - 2\/105*h**7 + 0 + 0*h**4 + 0*h**5. Factor b(p).\nAnswer: -p**3*(p + 1)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 9030 = 2*v, -22545 = -5*v - i + 6*i. What is the highest common divisor of 188 and v?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**2 + 4*k**2 - 15*k + 73*k - 3*k**2 + 2*k**2 - 63 wrt k?\nAnswer: 2*k + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/31))\/k*k**(2\/29)\/k*k**(-1\/2)*k*k\/((k*k**(-4\/5))\/k) assuming k is positive.\nAnswer: k**(12887\/8990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - 3998\/129. Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7708 - -7708. Solve 4*x + 3*g - 20 = s, 2*g = -5*x + 3*g + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 4 + 2 = -3*x, -1 = -2*x + 3*b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, a: 1, k: 3, s: 1, q: 3, e: 2}. What is prob of picking 1 q and 2 e?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(56)\/(-1*sqrt(8))).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15307 + -15087. Solve -28 = -24*b - i for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) + (-6)\/(-9). Suppose 2*g = 2*v - 7*v + 25, -5*v = -3*g - 25. Sort -3, y, -5, v in ascending order.\nAnswer: -5, -3, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176581931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1090049 is divided by 18789?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -192938, -385970, -579002, -772034?\n\"Answer: -193032*i + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 25. Let z = k - 20. Let f = 411.5 - 403.5. Which is smaller: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1327, 2683, 4039, 5395, 6751, 8107?\n\"Answer: 1356*q - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 0.3, -1\/8, -2\/11 in ascending order.\nAnswer: -2, -2\/11, -1\/8, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2320 = 2*w + 2*m + 2318, -2*w - 34 = -4*m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -26155 (c) 2\/7 (d) -2\/3 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 308, 609, 910, 1211, 1512?\nAnswer: 1813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(4\/(-18))*(-2)\/(-3). Suppose -f*s - 676 = -10*s. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**1)**(-15))**(-1\/3))**(-38) assuming s is positive.\nAnswer: s**(-190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + m**2 - 8*m. Give w(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8233319 to the power of 1\/2, to the nearest integer?\nAnswer: 2869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303312 (base 4) to base 7.\nAnswer: -12450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -23182.6 to the nearest one hundred.\nAnswer: -23200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.65355km to millimeters.\nAnswer: 653550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1137 divided by -1.\nAnswer: -1137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 405 divided by 5\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, k: 2, a: 11}. Give prob of picking 1 a and 1 k.\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 - -80. What is the third derivative of -18*l**5 - v*l**5 - 33*l**5 - 81*l**2 wrt l?\nAnswer: -3420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1229*k**4 - 308*k**3 - 340024*k + 1?\nAnswer: -14748*k**2 - 1848*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2 - 2)*((-3 - w + 3)*(1 - 3 + 4) + w - w - w + 3*w - 4*w + 0*w).\nAnswer: -32*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a. Let j(v) = -401*v - 1 - 396*v + 792*v. Give o(j(m)).\nAnswer: -10*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -35*c**4 - 45*c + 13. Let r(s) = 17*s**4 + 23*s - 6. Let v = 11 + -17. Let l(t) = v*h(t) - 13*r(t). What is the second derivative of l(g) wrt g?\nAnswer: -132*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 334*t - 10. Let o be a(-8). Let q be 2 + o\/(-15) + (-2)\/(-10). Suppose -84 = -5*b + q. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/4 of a meter?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66993.62ug to milligrams.\nAnswer: 66.99362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2079 = -116*q + 294*q + 119*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (869\/(-553) - (1 + (-2 - -6)))*7.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26\/(-10) + 24\/40. Let v(m) = -m + 6. Let f be v(b). Let h = 13 + -9. What is the greatest common divisor of h and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12634 - -12633.9. Which is the fifth smallest value? (a) 5 (b) g (c) -4 (d) 0.4 (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4118\/87 + -48)\/((-4)\/(-138))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, g: 1, n: 1, b: 1, p: 1}. Give prob of picking 1 n and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 6900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000365544 to 7 decimal places.\nAnswer: 0.0000366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-9)*(-1)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1122\/7 + -160. Suppose -16 = j - 2*j - 4*k, k = 3*j - 9. Let h = 1.9 + -2. Which is the nearest to h? (a) 2 (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -11579, -0.5, 1\/3, 18\/5, -0.2, -8?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22607833 and 63.\nAnswer: -22607770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3275\/3930*(-18)\/(-35)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 2*x + 0*x**2 + 3 - 2\/3*x**3. Differentiate d(j) with respect to j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4285801.\nAnswer: 13, 329677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1756769\nAnswer: 2\/1756769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*g - 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 268 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 218\/55 + -613\/143. Let o = q - 1\/13. Sort 1\/4, 0, o in decreasing order.\nAnswer: 1\/4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4983555823?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s**2 + s + 5. Let f(n) = -3*n**2 + 2*n + 4. What is 3*f(x) - 2*j(x)?\nAnswer: -x**2 + 4*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16, 28\/5, -1, -2.6, 2\/11?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31654001.3800303 + -31654000. Let m = j - 1.38. What is m rounded to 6 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 249*t - 10. Let p(v) = 746*v - 30. Let l(q) = 16*b(q) - 5*p(q). Let a be l(1). Let m = -60 + a. Is 46 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 92.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 277101757*q**2 + 172945421 with respect to q.\nAnswer: 554203514*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 4\/9 (b) -4 (c) 39 (d) -1\/3 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*a + 46*a - 4*m - 33, 0 = -4*a + m + 22 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 20*a + 64. Let k be m(-16). Let b(p) be the second derivative of 2\/3*p**3 + 5*p + k + 1\/6*p**4 + 0*p**2. Factor b(f).\nAnswer: 2*f*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 106509, 106511, 106517, 106527, 106541, 106559, 106581?\n\"Answer: 2*y**2 - 4*y + 106511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 9*n**3\/2 - 165*n**2\/4 + 351*n\/4 - 27\/2 = 0.\nAnswer: 1\/6, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 5023800 to the nearest 100000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1282*j + 821. Is p(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00070721943 rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -61 + -3?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8*p**2 + 25*p - 47. Calculate u(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -27. Let m(s) = -14 + c*s + 24 - 10. Let z(n) = 3 - 8*n**2 + 4 - 7. Calculate z(m(h)).\nAnswer: -128*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77 + x + 0*x - 66)*(8*x**3 + 13*x**3 + 0*x**3).\nAnswer: 21*x**4 + 231*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.5, -86\/9, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 351*d - 41 - 3469 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3785 + 3804. Let t = 10 - 5. Let g be -2 + (t\/1 - -2). Solve -x = -4*m + a, -2*x - 23 = -0*x - g*m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27d8 + -7dbe?\nAnswer: -a6a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/36)\/((-10)\/(-15))*2895\/(-386).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 3, 3\/4, -1, -1574, 1 in descending order.\nAnswer: 3, 1, 3\/4, -3\/7, -1, -1574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.7007 - 0.0007. Round q to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12487*k**3 + 63*k**2 - 2*k + 17.\nAnswer: -74922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 12*b**2 + 11*b - 15. Let m be u(11). Let j = -10 - m. Solve -j*l + 7 = 32 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - 7. Let r = m + 116. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245092?\nAnswer: 2, 71, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226864 is divided by 342.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3 - 5) + (-56)\/(-8))*0. Factor u*r**2 + 1\/3*r**3 - 2\/3 - r.\nAnswer: (r - 2)*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14, 68, 218, 512, 998, 1724, 2738, 4088?\n\"Answer: 8*z**3 - 2*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-387 + 382 - (1 - (1 + (1 - -9)))) + -11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + i - 184, 4*l - 4*i - 35 = 93. Suppose 0 = u + 2*u - l. Suppose 0 = g + 4 - u. Calculate the remainder when g is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4)\/u**(2\/7))\/((u*u**(-5))\/u**0) assuming u is positive.\nAnswer: u**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-four fifths of a microgram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f - 23*f = 3*n - 3, 7 = n - f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3 = -0. Suppose q + 1 = -z. Let b(x) be the first derivative of x**3\/3 + 5*x**2\/2 + 5*x - 1. Calculate b(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-13))\/(1\/((-11)\/(-2)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zqqzzzzzqzz. What is prob of sequence qqzq?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.07 and 262850.\nAnswer: 262849.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 27556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-69)\/(-115))\/(1\/(-5)) + 20. Let w be (-2)\/6 + (-1840)\/(-12). Calculate the highest common divisor of m and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 - 8*c + 27. Let d = 3351 + -3346. Let s(u) = u - 16*u + 2*u**2 + 55 + 5*u**2. Let v(l) = d*o(l) - 2*s(l). Factor v(p).\nAnswer: (p - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 458*t**3*z**4 + 1043*t**3 + 2*t - 2*z**4 wrt z.\nAnswer: 1832*t**3*z**3 - 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -5*l - 5, 386*m - 391*m - 4*l + 29 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) 0 (c) 0.174 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 144 = 4*o, 4*o + 132 = -4*d + 2*d. Let k = 68 + o. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 143\/78 + 1\/6. What are the prime factors of 42456\/192 - h\/16?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l + 10. What is a(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 1. Let p(r) = -6*r**2 + 3. Suppose -43*l - 216 = 29*l. Determine l*b(z) - p(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3*g**3 + d**3*g**2 + d**2*g**3 + 2*d*g**3 - 139*d wrt d.\nAnswer: 12*d*g**3 + 6*d*g**2 + 2*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -17. Suppose 0 = 6*c - 11*c - 70. Let z be (-24)\/c + 46\/161. Solve 0 = a*t + z - 22 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 2)*(-2*i**2 + i**2 + 0*i**2 + (0*i**2 - i**2 - i**2)*(-6 - 1 - 2) + 0*i**2 - i**2 + 3*i**2).\nAnswer: -57*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - r - 7 = -2*r, -5*r = 2*j - 11. Differentiate -2 - 10 + 2 + 10*g**4 - j*g**4 with respect to g.\nAnswer: 28*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 127*c - 123*c - 692. What is the remainder when c is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*g = 15, -4*p = -4*g - 13 + 1. Suppose -5*m + 2*i + 8 = 0, 3*m - 2*i = 3*i + 20. Factor 0 + 0*r + 4\/5*r**2 + 6\/5*r**3 + m*r**4 - 2\/5*r**p.\nAnswer: -2*r**2*(r - 2)*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**7\/2520 - m**6\/60 + m**5\/8 - 81*m**4\/8 - 52*m**2 - 2. Let a(u) be the second derivative of x(u). What is a(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.819381 micrograms in tonnes?\nAnswer: 0.000000000001819381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 43*a - 1103. Calculate j(-61).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4 + 66985*i**3 - 334887*i**2 - 870733*i - 468860 = 0. What is i?\nAnswer: -1, 7, 66980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019635 to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24522*l**5 + 16*l**4*w**3 + 2*l*w**3 - 239126*l*w + 3*l wrt l?\nAnswer: 490440*l**3 + 192*l**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 - -22023?\nAnswer: 21323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k + 1. Determine o(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-16)\/(-4))*(-16)\/48?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 440004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4396 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2835 = -3*q, q + q = 5*m + 1881. What is the units digit of 6\/(-30) + q\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -122 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 4*g**2 + 2*g. Let c be p(-3). Suppose -3*m = c*y - 48, -2*m + 3*y + 30 = m. Calculate the remainder when 38 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3713893581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/5*(-16)\/3. Suppose 22 + s = -2*d. Let t = d - -39. Does 20 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 25 = 3*w, -4*l = 3*w - 5 - 2. Let n = 8 + -11. Let z = w + n. Solve z*t - 4*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475372, 475338, 475282, 475204?\nAnswer: 475104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1067292*g**3 + 5*g**4 - 2*g**2 - 2*g**4 + 2*g - 1068789*g**3 - 1 to s*g**3 + c*g**4 + k + o*g**2 + t*g and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/161 + (-19)\/(-437). Factor 8\/9*h**4 + 0*h + 8\/9*h**3 + t - 2\/3*h**5 + 0*h**2.\nAnswer: -2*h**3*(h - 2)*(3*h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(12*5)*-2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert eb70c (base 15) to base 16.\nAnswer: b67c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wc when two letters picked without replacement from {w: 1, d: 2, h: 2, c: 2, b: 1, a: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (18 + (-14 - -10))) + 3 + -6\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3611967913?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhyhhyy. Give prob of picking 1 y and 3 h.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41.634*-0.07.\nAnswer: -2.91438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -21, 42, 0, 18 in decreasing order.\nAnswer: 42, 18, 3, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in -24, 4, 31734?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.2 (b) 7 (c) -1\/6 (d) -35 (e) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1a3d00 (base 14) to base 4\nAnswer: -3203232130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1364256*b**3*f**3*v**2 + 28*b**3*f**3*v - 7*b**3*f*v + 4*b**2*f**2*v - f**3*v**2 - 25*f**3 + 19*f**2*v wrt v.\nAnswer: 2728512*b**3*f**3 - 2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t + 156 = -526. Let n be 0 + 4 - (-4)\/(-2). Calculate the greatest common factor of t and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 14*k**3 - 17*k**2 + 6*k + 179. Let q(u) = 5*u**3 - 6*u**2 + 2*u + 60. Let d(c) = -6*p(c) + 17*q(c). What is the derivative of d(z) wrt z?\nAnswer: 3*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -716647\/20 - -35858. Let q = k - 132\/5. Is q less than or equal to 12\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*k = -1034, -4*t + 1390 + 2731 = -5*k. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 0.103075196343983?\nAnswer: 0.203075196343983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 z, and 1 p when three letters picked without replacement from {y: 1, p: 1, g: 1, z: 1, q: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*k**2 + 249*k**2 - 18*k**2 + 69*k**2.\nAnswer: 187*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -112981.7 to the nearest one thousand.\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**3\/3 - 5*g**2\/2 - 4*g. Let o(b) = -b**2 + b + 6. Let i be o(0). Let y(p) = -2*p - 4. Calculate i*t(w) - 7*y(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 34\/8 + (-2)\/8. Suppose -12233 - 3439 = 12*j. Let q = 1315 + j. Solve 7*d + q = r*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 0)*(-1 + 0). Suppose f + 4 + h = 0. Let m = 0.8 + -0.5. What is the smallest value in m, f, 4\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4453345.71 take away 0.09?\nAnswer: 4453345.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 15*d**2 - d - 4. What is w(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (13 - (-1 - -8)) + -1 - (1 - -1). Suppose 4*q - 14 = 2*q. Solve 15 = -k*d + 3*i, -4*d + 4*i = -q*d + 13 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 41*h**3 + 5*h**2 - 5*h + 20. Let m be w(3). What is the highest common divisor of m and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 5*q**3\/6 + 12*q**2 - 13*q. Let i be o(-6). Let p be (-261)\/(-10) + i\/60. Calculate the highest common divisor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -66*a + 42. Suppose -5*w = -2*n - 10 + 51, -8 = 2*w + 2*n. Is 9 a factor of t(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104 + 414001?\nAnswer: 414110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - z. Let i(t) = -3*t**3 + 10*t**2 + 4*t - 17. Let b(j) = -i(j) - 4*k(j). Let n(c) = c**3 - 2*c**2 + 6. Determine 6*b(x) - 17*n(x).\nAnswer: x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10040, -10082, -10134, -10196, -10268, -10350?\n\"Answer: -5*g**2 - 27*g - 10008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10546524.999815 + -10546570. Let t = 7.7 - 52.7. Let p = l - t. What is p rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**8\/168 + 3*z**7\/35 + 19*z**6\/60 - 7*z**5\/10 - 14*z**4\/3 + 16*z**3 - 4*z**2 - 22. Solve q(y) = 0.\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmwmu. What is prob of picking 1 u and 1 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 174\nAnswer: -17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 164\/34 + 501\/2839\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.089999492 - -3.09. Round w to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from wqwwaakqkaaawakawk.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1747, 3130, 4147, 4798, 5083?\nAnswer: 5002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 15*j**2 - 2*j + 33. What is w(-14)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -h - 3. Let z = h - -7. Let r = z + 4. What is the remainder when r is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -354?\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oww when three letters picked without replacement from wwov?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.05568423 and 3.\nAnswer: 2.94431577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8 + 6324 - (-1 + -12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 112 = -0*a. Suppose 2*x - 12 = -5*k + x, k = -x + 4. Suppose -a = k*q - 4*q. What is the remainder when 26 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 35*m + 7. Give u(-4).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -62*u**3 + 6*u + 7. Let r be p(-1). Which is smaller: 66 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 bigger than 3760858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 4)*(-2*r + r + 3*r) + (1 + 1 - 3)*(-5*r + 10*r - 53*r).\nAnswer: 44*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 2:41 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6677 + -26711\/4. Let j(y) = 4*y**3 + y**2 + y. Let t be j(-1). Which is the biggest value? (a) v (b) 4 (c) -5\/4 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 8) to base 9\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 4*a + 24. Let i = 28 - a. Solve 0 = 2*t + 3*s - 12, -4*s - i = 4*t - 9*s for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/9)*l*l**17)\/(l\/l**(2\/75)*l*l**(5\/6)\/l) assuming l is positive.\nAnswer: l**(7487\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3452800 divided by -1600.\nAnswer: 2158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/1737, 4, -7, 0.125.\nAnswer: -7, -1\/1737, 0.125, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -4. Suppose q*o = 3 + 5. Which is the second smallest value? (a) o (b) -1\/6 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**3 - i**2 + 8*i + 5. Let t(n) = n**3 + n + 1. What is -6*t(d) + v(d)?\nAnswer: -d**3 - d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 8*w - 8. Let m be c(-6). What is the biggest value in 0, -5, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 16, j: 2}. What is prob of sequence aja?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 u, and 1 r when three letters picked without replacement from qqhyyrdhu?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 v when two letters picked without replacement from gvdor.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16344)\/4 - 4) + 0. Round x to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -2, 29 in descending order.\nAnswer: 29, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4\/4 + 17*g**3\/4 + 27*g**2\/2 + 4*g.\nAnswer: -g*(g - 8)*(g + 2)*(3*g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29067 is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b*b**9\/b*b))\/b)*b*b*b**(5\/9)*b)\/((b\/(b*b*b*b*b\/b**3*b*b)*b)\/b**(-21)) assuming b is positive.\nAnswer: b**(-40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.6 + -0.4. Let u be (1 - 4\/6)*15. Let p be 2 + (-64)\/416 + (-60)\/(-52). Which is the smallest value? (a) h (b) u (c) -3\/4 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -39*b + 5. Let x be l(-5). Suppose -8*h + x = -3*h - 4*f, -2*h + 2*f = -82. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(64)*-2 - sqrt(64)) + (sqrt(64) - 1*-2*sqrt(64)))\/(((sqrt(8) - sqrt(8)*2*6) + sqrt(48)\/(sqrt(12)\/sqrt(2)))*5))**2.\nAnswer: 8\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 - 37. Let g be (-118)\/(-4)*14 + (7 - 120\/30). Calculate the greatest common factor of g and n.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/10*-16*(-350)\/140?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -17627\/38316 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 2*x**2 - x - 1. Let q(j) = -3147*j**3 + 1084*j**2 + 6*j + 6. Let h(s) = -6*f(s) - q(s). What is the third derivative of h(k) wrt k?\nAnswer: 18846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -480 by -120.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnnccnbwnwnbc. What is prob of sequence cc?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/467830 and 57\/34024?\nAnswer: 1871320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 + 20*u**2 - u + 28. Let i be f(10). Suppose -46 = i*v - 100. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a9 (base 11) to base 8\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 441 and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89602586 to the power of 1\/2, to the nearest integer?\nAnswer: 9466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -181?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 + (62 - 47) - (-6 - (-29 + 7)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 57275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/22288, -3, -0.4 in increasing order.\nAnswer: -3, -0.4, 9\/22288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-1 - 3 - -4). Solve 3*v - 23 = 4*d - m*d, 0 = v + d - 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 12*w - 25. What are the prime factors of a(10)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-7))\/(658\/4606).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26, 28, 30, 32, 34?\n\"Answer: 2*k + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 12 + (-17 - -21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200*((-24)\/40)\/(((-21)\/42)\/((-30)\/(-48))).\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -13664.43 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28617 = 794*x + 10289 for x.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1512 + -240. Suppose -3*q - 11645 + 2069 = 0. Let y = z - q. What is y rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-six fifths of a decade?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -0.1. Let p be (-65)\/45*-3 - 4. Which is the nearest to y? (a) -2 (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -4*s + 18, -3*s - 1 = -16*u + 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1184\/679585 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1001222 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/14 and -69\/1925.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -209 (c) 2 (d) 8\/3 (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(-6\/5)*n*n)*n\/n**(-2)*n)\/(n**(-1\/2)*n)**(-1\/23))**(2\/7) assuming n is positive.\nAnswer: n**(741\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (26\/(-104))\/(1\/(-76)). Let y(s) = -a + s**2 + 5*s - 21 + 42. What is y(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -277738 or 2080?\nAnswer: 2080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 - -0.7. Which is the nearest to 9? (a) -1 (b) t (c) -0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2264 + -2259. What is the lowest common multiple of 65 and c?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.8 and 1511652.\nAnswer: 10279233.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -448 = -4*f - 5*t, -5*f - 3*t + 496 + 64 = 0. Calculate the highest common factor of 2928 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 18. Let f(v) = 12*v - 41. Let p be f(4). Calculate the greatest common divisor of p and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 681 = 453. Is ((-4826)\/(-6))\/(76\/o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-16) + (-1425)\/300\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*c**2 + 7161*c + 7169*c + 2 - 5*c**2 + 17*c**2 - 14328*c to t + o*c**2 + i*c and give o.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 15*p = 126. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*v = 8, 2*v + 3 = -4*h - 5. List the prime factors of (-1)\/(195\/999 + h\/9).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/25? (a) -2\/11 (b) 115\/2 (c) -0.4 (d) -9 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 146 (c) -4 (d) 1\/801\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 822 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.05 (b) -2 (c) 0.02 (d) -993\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-6))\/((-1)\/6). Let r be (0 + d)\/1 + 0 + 2. Suppose 0 = -r*b + 3*b - 114. Which is greater: 37 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -211*y + 3968. Determine x(19).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 17*c + 2. Let q be n(17). Suppose -q*y = 3289 - 823. Is (-6 - y)*(-1 - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 65, 57, 47, 35?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*p + 5, p = l + 10. Let t be (-12)\/(-10)*(-3)\/l. Put 0, t, 5 in ascending order.\nAnswer: 0, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/5)\/(q**(-2\/13)*q)*(q\/(q\/q**6)*q*q*q)\/(q\/(q**(2\/5)*q)) assuming q is positive.\nAnswer: q**(106\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iln when three letters picked without replacement from {j: 1, e: 1, l: 1, i: 1, n: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 242 + -316. Let g be (1*-3)\/(1\/38). Let p = v - g. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/28*4)\/((-34)\/(4284\/1998)).\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 701*c**3 - 492*c**2 + 972*c**2 - 480*c**2 to the form z*c**3 + w*c + d + n*c**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*i = -0*i, -30 = -5*w + 5*i. Suppose -4*u - w*j - 191 = -0*u, 5*u + 2*j = -244. Let c = -35 - u. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v - 2*v - 2*v**3 + (11*v**2 + 10*v**2 - 18*v**2)*(-768 - 46*v + 768).\nAnswer: -140*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27.12 - 0.52. Let o = h - 37. Let a = o + 10.39999933. What is a rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*g**4 + 1554*g**3 - 3636*g**2 + 2560*g - 576 = 0. What is g?\nAnswer: -18, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/1 + 0 + 1. Let j(l) = -1765*l - 28236. Let x be j(-16). Solve 5*k + 3*b = -n, 2*k = -0*k + x*b + 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 + 5)*(-2 - 2*i + 2) + (1 - 1 - 2)*(-11*i - 2 + 2) to the form s + c*i and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mee when three letters picked without replacement from jemjjeejmeeee?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s**3. Let l be m(-1). Let b = 15 + l. Does 9 divide 1 + -2 + (b - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 6.25. Let n = b - 0.05. What is the closest to n in -4, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -279 (c) -0.22 (d) 14 (e) -1\/59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27140 - 3756. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3735 is divided by 2502?\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 36766.855 to the nearest 100.\nAnswer: 36800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211122212 (base 3) in base 5?\nAnswer: 3242021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 10*c**3 + c**2 + c + 12. Let b(q) = q**2 + q + 1. Let a(p) = -b(p) + w(p). What is the first derivative of a(h) wrt h?\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 414, 1\/2, 1\/7 in descending order.\nAnswer: 414, 1\/2, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*o - o - 147, -3*o + 3*f + 273 = 0. Calculate the remainder when o is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51271 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 5830*r + 5830*r.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*n**3 + n**2 - 4*n - 5*n + 4*n**2 - 2*n**2 + 0*n**3 to b*n + q*n**3 + h + y*n**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -1) + -8*54\/(-12). Let s = -69 + o. What are the prime factors of -1 + (-4 - (s - 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 14*u**2 - u - 1. Let q(b) = b**2 + 20*b + 33. Let w be q(-25). Suppose -18*d + w + 292 = 0. What is the remainder when d is divided by v(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**3\/4 - 116811*o**2\/4 + 3860925*o\/2 - 7254558 = 0 for o.\nAnswer: -39003, 4, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 - 4*b**5 - 24 + 58 - 17*b**4)*(-1 + 3 - 4).\nAnswer: 8*b**5 + 34*b**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, h: 3, u: 1, w: 2, r: 3, z: 2}. Give prob of sequence wh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7885861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 176*i**5 + 59*i**3 - 56328*i wrt i.\nAnswer: 3520*i**3 + 354*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3313*v - 4*v**2 + 3229*v + 13*v**2 + 27 = 0?\nAnswer: 1\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u + 6. Let j be b(-4). Suppose j*p = -2*p + 844. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 368971.05 and 0.06.\nAnswer: 22138.263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -9 - 27*d + 14*d + 12*d. Determine r(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 17*r + 30*r - 16 - 21*r + 19*r + 1 - 2*r**2. Suppose 3*h = 41 - 8. What is the units digit of t(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*c + k + 11, 0 = -2*c + 4*k + 14. Let n be c\/(-5) - 1003\/(-85). Suppose -32 - 24 = -28*w. Solve -5*y + w*t + 18 - 5 = 0, n = -3*t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45165750 - 3677\nAnswer: -45169427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 25 = 3*r, 3*d + 0*d - 51 = -5*r. Calculate the remainder when (2\/4)\/((-3)\/(-144)) is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**0)**(-11))**(-1\/20)\/((a**(-6)\/a)\/((a\/a**(-2))\/a)*a**(3\/8)\/a**(3\/5)) assuming a is positive.\nAnswer: a**(413\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8954862973 to the power of 1\/4, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 d when four letters picked without replacement from bdbbdd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 - 7)*(0 + 0 + 1)*(1 - 1 + 3)*(2 - 4 + 0)*(-2*m + m + 5 + 2*m) as j + u*m and give u.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - i**2 - 2*i**2)*(0 + 3 - 4) - i**2 + 2*i**2 - 15*i**2 - 3*i**2.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 43 = -5*f + 42, 5*f - 78 = -2*a. Let b = -4 + f. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100011100 (base 2) to base 14.\nAnswer: -940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 275 - 160. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-6)*(-2)\/(-3). Let z = 1 - f. Solve -4*v + 12 = -z*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 11784237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 509000299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 489228?\nAnswer: 4403052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2764 - -60831\/22. Let u = -359692391463\/79895024 - 3\/9986878. Let b = -4506 - u. Find the common denominator of w and b.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -12.34438 to 2 dps.\nAnswer: -12.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 5*h = -4*z - 155, 2*h - 118 = -3*z. Suppose -l + 5 + 1 = 0. What is the remainder when z is divided by 111\/l + 3\/6?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 11. Let b = 7.0048 + y. Let d = b + -0.011. Round d to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 600339 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 1544*x**2 + 18522*x - 47. Give k(-12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d**3*d))\/((d**11*d)\/d))\/((d*d*d**4\/d*d*d)\/(((d\/(d**(-10)*d)*d)\/d)\/d)))**40)**(-48) assuming d is positive.\nAnswer: d**23040","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -55, -3, -0.5, 0.16723, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20432 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: Calculate the common denominator of -1\/914 and 67\/30162.\nAnswer: 30162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c - 23*c - 3*m + 2 = 0, -2*m = 3*c - 16. Let o = -9 - -19. Calculate the lowest common multiple of c and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -36*m**3 + 3*m**2 - 4*m - 2. Let p(r) = -37*r**3 + 2*r**2 - 2*r. Calculate -3*p(s) + 2*t(s).\nAnswer: 39*s**3 - 2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/2967 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1512\/65 + -114\/5. Let x be -1 + (0\/2 - -1). Which is smaller: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2040 = -12*w + 2052 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-3) + (-70)\/42. Calculate the remainder when 33 is divided by ((4\/(-6))\/(-2))\/(m\/27).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -911001, -910992, -910993, -911010, -911049?\nAnswer: -911116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**4 + 7*x**3 + 3*x**2 - 31*x + 20 = 0.\nAnswer: -5, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-5))\/8*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/(-12) - (-54)\/(-72).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(-1)\/(45\/6). Suppose 0 = -6*d + d + 5, 3*c - 4*d + 7 = 0. Let r be ((-5)\/(-25))\/(c\/3). What is the second smallest value in 1, z, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 10 = 5. Sort 6, n, -3.\nAnswer: -3, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a + 3*a - 6*a - a**3 + (-6*a + 7 - 7)*(-5*a**2 + 3*a**2 + 0*a**2) + 0*a**2 + 0*a**2 + a**3.\nAnswer: 12*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1765 + 0.4365. Sort q, 16, 0.5 in descending order.\nAnswer: 16, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-135)\/(-5))*6\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*v + 8 = -247*v + 2*d, 4*d = -4*v - 56 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -15*c**2 + 55*c - 48. Differentiate d(s) with respect to s.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2289276176.\nAnswer: 2, 11, 3251, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612615144.\nAnswer: 2, 3, 173, 147547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/((q\/q**(-1\/13))\/q*q)*q))\/q*q*q*(((q*q**(3\/13)\/q)\/q)\/q)\/q)\/(q*q**(-2\/19)*q**4) assuming q is positive.\nAnswer: q**(-1874\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 918 = -254*i + 260*i. What is the remainder when i is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*p, 2*h - 3*h + 5*p + 25 = 0. Suppose 0 = 4*n - 16, -5*v - 2*n + 23 = -h*n. Calculate the smallest common multiple of v and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 0, -5\/4, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -220, -1, 3, 5.\nAnswer: -220, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-25 - (-44 + 30)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5655, -21970, -49071, -86958, -135631, -195090?\n\"Answer: -5393*l**2 - 136*l - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 5*s**2 + 3*s**2 - 3 + (-3*s + 9*s - 2*s + (s + s + s)*(-1 + 0 - 1) - 4*s + 0*s + 3*s)*(-2 + 2 + s) + 2*s**2 + 3*s**2 + s**2.\nAnswer: s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (1 - (3 - 2)) + -10 + (-1 - 71)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1191102 and 14223?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30882503*f + 41529161 wrt f?\nAnswer: 30882503","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/63*-2103 + 2. Let w = g + 199. Put w, -2, 0 in decreasing order.\nAnswer: w, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 8:36 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-80)\/45 + 3 - 2\/9. Suppose -9 - o = -2*n. Solve -b + f + 0 = -1, 0 = n*b - f - 21 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 43*k**2 + 89*k + 216. Give q(-45).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6252 = 175*i - 6602. Factor 2 - 2\/3*p**i + 4\/3*p.\nAnswer: -2*(p - 3)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 6 (b) -1.4 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 120 = -9*o. Let q = o + -32. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 84 = -0*p. Let d = 24 - p. Find y, given that 1\/4*y**d - 1\/4*y**4 + 0 + 1\/4*y**2 - 1\/4*y = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j**2*p*t - 4*j**2 - 12*j*p*t + 2*j + 486*p*t wrt j?\nAnswer: -2*j*p*t - 8*j - 12*p*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - 38. Suppose -3*p + 3*r + 60 = f, 4*p - r = r + 78. Let n(l) = -l + 28. What is the remainder when 14 is divided by n(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.890571 centuries?\nAnswer: 189.0571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 11*m**2 - 2*m - 20. Let s be j(-11). Solve -5*h = -c - 16, 5*h - 28 = -s*c - 0*c for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.055 - -0.191. Let o = s + 75.864. Let n = o + -76. What is the nearest to -0.1 in -1.3, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161 + 161 + 47*w**2.\nAnswer: 47*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 184993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -11*k. Let n(v) = 40485158*v. Determine n(i(b)).\nAnswer: -445336738*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 10:26 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 7:36 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*20\/(-5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/200)\/(36\/(-30))*23\/(1242\/81).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrru when four letters picked without replacement from {s: 1, u: 9, r: 3, d: 1}?\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 11:58 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 58*t. Let r(m) = 27*m**2 - 12*m - 6. Let s(v) = 7*v**2 - 2*v - 1. Let k(z) = r(z) - 6*s(z). What is k(h(i))?\nAnswer: -50460*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.4 (b) -15 (c) -28034\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**0)\/l*l*l)**44*(l**(-2\/3)*l)**(-2) assuming l is positive.\nAnswer: l**(262\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n**2 + 3*n - 3. Let k be h(2). Let y = k + -31. Suppose y = 2*a - 0*a - 2. Solve -a = -z - 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -9. Is f at least as big as -2\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -101 - 46. Suppose 174 = -5*w + f. Let c = w + 58. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -47*k - 4745. Let m(r) = 17*r + 1582. Calculate 14*m(s) + 5*x(s).\nAnswer: 3*s - 1577","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - d + 180 = 0, -4*d + 21 = 2*c - 69. Calculate the remainder when c is divided by 33\/2 - 3\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000221661 rounded to 6 dps?\nAnswer: -0.000222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 104 - -41631601?\nAnswer: 41632005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/5295 and -38\/45.\nAnswer: 15885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**6\/60 + s**4\/24 - 3*s**2. What is the second derivative of i(t) wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/29, -2\/15, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12439 is divided by 122?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 96147.1183 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 + 72. Calculate the remainder when v is divided by (-2 + 5 + 3)*(-2)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from ccxexxxcxcececcxc.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**3 - 5*z + 3*z - 4*z**3 + z**2 + 2*z**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73379813834 plus -0.3?\nAnswer: 73379813833.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.34 and 9.\nAnswer: 3.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19\/7 or -71706?\nAnswer: -71706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66565337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1.5. Let l = 0.0392 + -1.0392. Which is bigger: o or l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 3*d - 1486, 0*k = 2*k + 2*d - 596. Let z = k + -148. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 - -1 - (322 + -267)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.074 * 2\nAnswer: -0.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 321 = -75. Calculate the remainder when f is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 159, 275, 423, 609, 839, 1119?\nAnswer: 1455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-8 - -10))\/(9\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4401732732 to the power of 1\/2, to the nearest integer?\nAnswer: 66346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 54*r**2 + 130*r**2 - 186*r**2. Let z(i) = -133*i**2. Calculate a(z(o)).\nAnswer: -35378*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-10)*a)\/a*a\/a**0*a**1*a**(-3)\/a)**(-40))**(3\/22) assuming a is positive.\nAnswer: a**(720\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6713154 - -4323267929\/644. Let o = f - 29\/92. Calculate the common denominator of o and (44 + -1)*(-2)\/(-12).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-105)\/6 - -3)*-2 - 5. Suppose 0 = -i + 4*p + 55, 0 = 4*i - 7*i + 5*p + 137. Suppose 36*h - u = i*h. Which is smaller: h or -46\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 8*v - 7. Let i be r(9). Solve 0 = -2*g - 4*m, 3*m = -i*g + m - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.56493 days to weeks.\nAnswer: 6.79499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**2*w**3 + 37*p**2*w**2*z + p**2*w - 2*p*z + w**3 + w**2*z + 2*z wrt p.\nAnswer: -2*w**3 + 74*w**2*z + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4484091 is divided by 2242021?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -63245, -126320, -189395, -252470, -315545, -378620?\n\"Answer: -63075*c - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(-1 + 0)*1. Let g = 10 + -8. Suppose -3*w - 2*w = g*v - 6, 9 = 3*v + 2*w. Put v, -5, d in ascending order.\nAnswer: -5, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184385 + 228977 = 5822*r for r.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1305 and 315?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*b + 129074 = 89*b + i, 3*i = 15. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -3*x**5\/20 - x**4\/4 + x**3\/2 + 6*x**2. Factor i(g).\nAnswer: -3*(g + 1)*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 4*f**2 + 18*f + 6. Let y be w(-7). What is the third derivative of -8*d**2 + y*d**2 - 636*d**3 + 626*d**3 wrt d?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 821 is divided by 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1660880, -3321757, -4982634, -6643511, -8304388?\nAnswer: -9965265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand g + 0 + 0 + (-3 + 3 + 2)*(-3 + 3 + g) + 4*g - 5*g + 0*g - g + 4*g + 0*g - 2*g - 5*g - g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = h - 1, -5 = -4*h - 2*l - 1. Let n be h\/(((-30)\/(-5))\/12). Solve -t = 7 - n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-1*(-6)\/(-33)). Let n = 9 + i. Suppose 5*p - 79 = n. Does 33 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5 = -j, -4*j = -2*k + 15 - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 0)*(106 - 211*y - 106 - 81*y) as l*y + k and give l.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7, -7, -53, -149, -313?\n\"Answer: -3*r**3 + 2*r**2 + r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 - 124 + 11927159*y.\nAnswer: 11927159*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + -10)*84\/(-30). Solve -2 = -3*v - n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**3 + 240*w**2 - 236*w = 0.\nAnswer: 0, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, -12, -144, -404, -834, -1476, -2372?\nAnswer: -3564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**5\/12 + 7*v**3\/6 - 2336*v**2. Let n(w) = -2*w**2 - 2*w**2 + 3*w**2. Give n(x(h)).\nAnswer: -25*h**4 + 70*h**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -2)*13\/11. Let l = t - 245\/99. Let v be 14\/12 - (-3)\/(-6). Sort l, v, 0.4 in increasing order.\nAnswer: l, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -24*b**2 + 1519*b. Let k(t) = -97*t**2 + 6079*t. Let r(j) = 9*c(j) - 2*k(j). What is the second derivative of r(l) wrt l?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-10)*(-110)\/4. Suppose 2*g = 2*k - f, -g = 5*k + 2*g - 71. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 143977*q**2 - q**3 - 2 + 4*q - 143977*q**2 to the form f*q + l + y*q**2 + u*q**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, x: 1, v: 2, a: 2, c: 1}. What is prob of picking 2 a and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 + -51. Suppose -5*n = -62 - 18. Calculate the remainder when w is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k + 16*k + 0*k - 3*k as p + l*k and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a - 641 + 1729 = -41*a for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4397 divided by 23\nAnswer: -4397\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*j = 0, -3*a = -a - 4*j - 24. Let i be (-650 + (-16)\/a)*(-6)\/(-4). Let c = i + 2560. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 58942994.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89753620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 25*f**3 - 2*f**2 - 3*f - 2. Let k(t) = 75*t**3 - 7*t**2 - 10*t - 9. Calculate -2*k(h) + 7*q(h).\nAnswer: 25*h**3 - h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -41.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86525578*a**3 - 44358*a + 1788.\nAnswer: -519153468*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 0 + 0)*(-1 + 1 + j**2) + 4*j**4 + 0*j**4 - 2*j**4 + 8*j**4 - 9*j**4 - 6*j**2 - 2*j**4.\nAnswer: j**4 - 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyqyq. What is prob of picking 2 y and 2 q?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x - 61. Determine s(14).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mu when two letters picked without replacement from uhuhhuhhuuhmuhh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -6*s - 31 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 129, 124, 109, 78, 25, -56?\n\"Answer: -p**3 + p**2 - p + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -30*s + 247. Let p(w) = 177*w**3 - 173*w**3 + 7*w**2 - 2*w - w**2. Let v(g) = 13*g**3 + 19*g**2 - 7*g. Give s*p(o) - 2*v(o).\nAnswer: 2*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from {w: 2, q: 6, z: 7, i: 1, r: 1}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-nine halves of a millennium in years?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o - 4. Let i be a(-9). Let z be (-9)\/(-36) - i\/(-8). Suppose 0 = z*b - 11 - 85. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k = -33832. Let x = k + 186025\/22. What is the common denominator of x and 27\/50?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 z, and 1 l when four letters picked without replacement from cxzzzclrxx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 39777209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3)*g\/g**(-2\/3))\/(g**(-1\/9)\/(((g*g**(2\/7))\/g)\/g)) assuming g is positive.\nAnswer: g**(46\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7687189 is divided by 3441.\nAnswer: 3436","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2)*(26*c - 4*c + 77*c)*(-14 + 3*c + 7 - c).\nAnswer: 594*c**2 - 2079*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/48 and 87\/14?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y - 25. Let t be r(-15). Suppose t*s = 36 + 14. What is the highest common divisor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 914, -0.1, -0.3, 2\/13, 145?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*z - 23*z + 16296. Let g = -3312 - z. What is g rounded to the nearest one hundred?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -245 - -174. Let l = 73 + w. Solve l*v = 7*v + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010672495 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + (-24)\/(-2) - 4. Find the second derivative of 3*u + 15*u**k + 7*u - 2*u - 4*u wrt u.\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133.912*1444.\nAnswer: 193368.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 274.3 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 0)*(27 - 6 + 1) + 2 - 4 + 0 - 2 - 4 + 4 + (-4 - 1 + 4)*(4 + 1 - 3) + 7 - 2 - 3 + 1 - 2 - 1 - 4 + 0 + 6)*(5 - 8 + 13*j + 4).\nAnswer: -338*j - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -3, 3, 509, -10226, -2, -1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 14*j**2 + j + 17. Let r be o(-14). Let w be ((-1)\/r)\/((-25)\/75). Let g be (-1 + 2)*-1*0. Which is the closest to 0? (a) w (b) g (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 862973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -224 - -228. Suppose -v*b - 24 + 32 = 0. Solve 0 = 5*c + b - 22 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 8*o**2 - 3*o + 1. Let x be a(2). Let z = 42 - x. Suppose -4*l + 14 = -10. Solve -z = l*s - s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*x + k - 296, 3*x + k - 235 = 0. Suppose 2 = i - 3*a, -a + 61 = 5*i + a. What is the highest common factor of x and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**7\/840 - n**6\/60 + n**5\/30 + 5*n**4\/24 + 2*n**3\/3 - 2. Let j(i) be the third derivative of z(i). Is j(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 7 + (2 - 1) - (-30 - -26).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1285006.\nAnswer: 2, 83, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**3 - 4*l**2 + 5*l - 5. Let i be o(2). Solve -3*v - i = -5*y + 5, 0 = y + 4*v + 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*t**3 + 8*t**3 - 6*t**3 + (5 - 5 + 4*t**2)*(-1 - 1 - 11)*(0 + 0 - 3*t).\nAnswer: 138*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -509 + 508.7. What is the biggest value in -4\/3, j, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/120 and (-48)\/16 - (-62)\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 4:34 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*s**3 + 34208*s**2 + 24412*s - 9768 = 0.\nAnswer: -1221, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 9*m**2 - 33*m + 20. Let r(t) = -t**2 - 2*t + 3. What is c(z) - 5*r(z)?\nAnswer: 14*z**2 - 23*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 422945 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 0)*(-2 + 2 - z) + 0*z - z + 2*z)*(-3 + 3 - 7*z)*(-5 - 3 + 5).\nAnswer: 42*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22003414 - -4?\nAnswer: -22003410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12023497 is divided by 865?\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + j + 7. Let h be t(0). Let a = h - 7. What is the second derivative of a*r**5 - 2*r - r**4 - r**5 + r**4 wrt r?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, -1, -79 in descending order.\nAnswer: 57, -1, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/5 (b) -1\/2 (c) -4 (d) -73\/10 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**3\/3 - u**2\/2 + 22*u + 6. Let s be i(0). Let o(p) = p**2 + 5*p + 8. Let c be o(-7). Is s > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1244 - 1140. Does 105 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*l - 4*g + 2, -2*l - 3*g - 2 = 0. Suppose -b + 9 + 4 = -l*r, -r = b + 2. Solve 0 = -2*n - b*u - 10, 3*u - 5 = -0*n + n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48267 to the power of 1\/2, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {w: 1, q: 4, j: 2, g: 3}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6437, 6073, 5513, 4757, 3805, 2657, 1313?\n\"Answer: -98*q**2 - 70*q + 6605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 23.6 (b) -0.117 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1949423525 minus -0.30303?\nAnswer: -1949423524.69697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 4 = 5*k. Let m(f) be the third derivative of 0*f**3 + 2*f**k - 1\/40*f**6 + 0*f + 1\/30*f**5 + 0 + 0*f**4. Find the third derivative of m(s) wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 5952*f - 2304 - 506*f**2 + 22*f**2 + 3*f**3 - 14*f**3.\nAnswer: -2*(f + 24)**2*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.1 - -0.1. Let f = 2.5 + l. Let s = 8\/7 - 9\/7. Put s, 1\/3, f in decreasing order.\nAnswer: f, 1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o - 25. Let q be -2 - (59 - -1)\/(-4). What is the tens digit of a(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17834 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4*(-2 + sqrt(325) + 0 + sqrt(325)))**2.\nAnswer: -400*sqrt(13) + 20825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 1:17 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11942\/56)\/(1\/4). Let y = b - 851. Find l such that 5\/2*l**y - 1\/2*l**3 - 3\/2*l - 9\/2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.52202 - -0.02202. Which is the nearest to 2\/7? (a) 15 (b) -17 (c) r (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100001011 (base 2) in base 14?\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 0. Let d = 0.28 - -0.02. Let r = -0.8 + d. Which is the biggest value? (a) m (b) -0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -6521*l**7\/42 + 269*l**3 - 210*l - 10. What is the second derivative of g(p) wrt p?\nAnswer: -130420*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 56 = 8*t, 24136*h - 2*t = 24134*h + 24 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 54*p + 108*p = 59*p - 175, -23*z = 30*z + p - 35 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**4 + 8*k**3 + 7*k**2 - 6*k - 6. Let c(n) = n**4 + 7*n**3 + 6*n**2 - 5*n - 5. Let w(b) = 6*c(b) - 5*s(b). Solve w(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w - 2*w**2 - 21*w + 16*w.\nAnswer: -2*w**2 + 14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/7)\/((-444)\/42). Which is bigger: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1214426?\nAnswer: 2, 607213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189872 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7948963?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3 - (-126)\/216) + (-2148)\/(-48) + -8?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78*k**3 + 1341*k wrt k?\nAnswer: 468*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -w - 0. What is the third derivative of -4*l**2 - 5*l**3 - 9*l**3 - 2*l**w - 2*l**2 wrt l?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 6 = -i, 5*l + 18 = -2*i + 2. Is (10 + i)\/(-3) - -286 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -1\/3, 2.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-30)*-2 + 88\/(-40). Let u(s) = s**2 + 11*s - 4. Let p be u(-11). Let b be (-5 - p - g)*0. Solve -y - y - 8 = b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 5 (b) 1 (c) 0.3 (d) -2\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 - 4*r**2 + 3*r. Let a(j) = j**3 + j**2 - j. Let k be 2\/(-5) - 3\/5. Suppose 3*w - 4*m + 1 = -0*w, 3*w = 3*m - 3. What is k*d(y) + w*a(y)?\nAnswer: -y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*sqrt(15)\/sqrt(3).\nAnswer: 1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/152524 and -31\/3944?\nAnswer: 8846392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12254 divided by 1047\nAnswer: -12254\/1047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17003 - 16991 + 6*u**3 + 3*u - 4*u wrt u?\nAnswer: 18*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(-3 - 2 + 3)*(4*f**2 - 4*f**2 - 7*f**2) in the form d*f + v*f**2 + i and give v.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81 + -78. Let f be 4*3\/36*y. Solve -f = 2*o - 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52043549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 184 = -o - 91, -4*h - 4*o - 220 = 0. Does 8 divide (594\/h)\/((-3)\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**3 + 5*x**2 - 4*x. Let p(i) = 4*i**3 + 6*i**2 - 5*i. Let y(s) = -5*n(s) + 4*p(s). Find the third derivative of y(q) wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -674193696, -674193694, -674193692, -674193690?\nAnswer: -674193688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*s**3 + 21*s**2*u*z - 9*s**2*u + 4*s**2*z - 39*s*u*z + 180*s*z - z wrt s?\nAnswer: 48*s + 42*u*z - 18*u + 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*t - 76*t = -87. Let u = -61 - t. What is the highest common divisor of 234 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 19*r - 588. What is v(31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*p = 54. Let o(j) = -j + 2. Let w be o(0). Suppose -2*k - v + 24 = -6*v, w*v = 5*k - 18. Solve 0 = -4*i + 2*t + 1 + p, -k*i + 3*t = -7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37728, 37571, 37414, 37257, 37100?\nAnswer: 36943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -72*n**3 - 9*n**2 + 22*n - 8. Let s(m) = -36*m**3 - 5*m**2 + 13*m - 4. Determine -3*l(x) + 5*s(x).\nAnswer: 36*x**3 + 2*x**2 - x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4684 is divided by 589?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -516*(-6)\/306 + 4\/(-34) and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**5\/20 - 2*l**4\/3 - 5*l**3\/6 + 2*l**2 - 19*l + 2. Determine y(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(2) + -3)*-3)**2.\nAnswer: -54*sqrt(2) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7879029 to the power of 1\/2, to the nearest integer?\nAnswer: 2807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*n**3 - 3 + 36*n**3 - 68*n**3 + 5*n**2 in the form a*n**2 + u*n + t + d*n**3 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/3))**50)**(-2\/23) assuming d is positive.\nAnswer: d**(-200\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28164 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1227 is divided by 123?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 = 4*v - 136. List the prime factors of v.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 581*m - 102292. What is x(176)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*j, 0 = -j - 5*n - 0 + 22. Let o(y) be the second derivative of 13\/2*y**j + 22*y + 0 + 8\/3*y**3. What is the first derivative of o(x) wrt x?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1415 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -176*s + 1667 + 74*s - 1647 as l*s + j and give l.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -1 + 20*m**2 - 9*m**2 + 18*m**2 + m**2. Let c(p) = 6*p. Give c(s(v)).\nAnswer: 180*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 7) to base 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-616)\/(-198) + -2*1\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/3 + 5053*y**2\/3 - 10103*y\/3 + 5051\/3.\nAnswer: -(y - 5051)*(y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8361075 and 867.\nAnswer: 2416350675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1254 - 353. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r + 708. Let j(a) = 15903*a**2. Give l(j(x)).\nAnswer: -31806*x**2 + 708","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 766008192*i**4 + 280697499 wrt i?\nAnswer: 3064032768*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1.8 (b) -3\/50 (c) -1\/8 (d) 0 (e) 5 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15972 + -15971. Which is the second smallest value? (a) -65\/7 (b) -0.5 (c) g (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15.932 and 40.\nAnswer: 24.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 10 - 5 + (2 - 1 + 0)*(2 - 3 + 0))*(r - 3*r + r).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -312, -1079, -2358, -4149, -6452, -9267, -12594?\nAnswer: -16433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6) + (-10)\/6. Let x(h) = -h + 7. Let v be x(9). Suppose -5*l = -1 - 4. Which is the closest to l? (a) t (b) -0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.49 + 0.19. Let h = n - 2.7. Sort -3\/4, 1, h in ascending order.\nAnswer: h, -3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 0 - 2) + 6 + -25\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 651 = 5*m - 3*a, 5*m - 1078 = 2*a. What is the highest common divisor of m and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**2 - 640096*f - 25607680576 = 0.\nAnswer: -80012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 12101?\nAnswer: -12042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 5*h - 37, -3*v - 2*h - 1 = -3. Suppose b = -4*o + 20, -2*o + b + v + 0 = 0. Find the second derivative of -2*c + 0*c - o*c**5 + 3*c**5 wrt c.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31489996 to the power of 1\/3, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 39*b + 87. Let t(j) = 38*j + 68. Give 5*m(s) - 6*t(s).\nAnswer: -33*s + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = j - 17, -4*m = -3*m - j - 3. Which is the third smallest value? (a) m (b) -1\/2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 15. Let m(f) = -f + 15. Let q(a) = 3*m(a) - 2*t(a). What is the units digit of q(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 8:51 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1174254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 5. Let b be h(-5). Suppose -5*o + 2*o - 12 = b. What is the third biggest value in o, 0, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 192\/(-33) + 2\/(-11). Let k be 44\/6 - 4\/o. Suppose p + k = 3*p. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 63 + 5?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84609 divided by 711.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*j + 4, 0 = j - 3*h + 3 + 1. Suppose -j*q + 15 = -0*q. Which is smaller: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y = -10*y + 38 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 3*b**2 - 3*b + 3. Suppose 26*j - 237 = -159. Give h(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times -0.01\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34124, 136964, 308384, 548390, 856988, 1234184, 1679984, 2194394?\nAnswer: 2777420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 467050.3us to milliseconds.\nAnswer: 467.0503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102 - 41. Let b = 88 - p. Let u be (-50)\/(-6) + (-2)\/(-3). Calculate the greatest common factor of b and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-36))\/(2\/18). Let 2\/3*u**3 + 0*u + 0 + 2\/3*u**t = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 31*p**2 - 66*p + 8. What is k(33)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 2*t**3 - 9*t**3 + 8*t**3 - 15*t**3 to the form z*t**3 + s*t + x + v*t**2 and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*i - 290*i + 86*i + 3 - 3.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66710?\nAnswer: 2, 5, 7, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*y + 7 = -21*y + 51*y + o, -y + 2*o = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2306521495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 29347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 55\/2 of a century?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 148 - 147. Let m = -18 - -12. Let z = t - m. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o + 5 = 5*a, o = -5*a + 17. Suppose -944 = z + a*c - 2897, 0 = -4*z + 2*c + 7794. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 324 = 41*u + 2*j, u - 3*j = -3 + 3 - 2 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4747, -9446, -14145?\n\"Answer: -4699*z - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 2.2429.\nAnswer: 0.22429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2386748 and 46228?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + 11. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -8. Let j be (-5 - (-2)\/1) + i. Suppose -4*y - a = 14, -2*y + 7*y + j*a + 23 = 0. What is the third biggest value in y, -5\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -269310, -268788, -267916, -266694, -265122?\n\"Answer: 175*g**2 - 3*g - 269482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/8240559 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93 - -448. List the prime factors of o.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130473?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5799931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*t = 5*t - 895, -889 = -4*d - 3*t. Let k = 223 - d. Solve 4*s - 11 = 2*f + k, 1 = s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 357460, 714875, 1072290, 1429705, 1787120, 2144535?\n\"Answer: 357415*k + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**4\/4 + q**3\/6 + 3*q**2. List the prime factors of d(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 58 = -26. Suppose 5 = 4*j + 5*d, d - 3 = -5*j - 2*d. What is the remainder when f is divided by j\/(0 + 4) - -12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20012020 (base 3) to base 12.\nAnswer: -2743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57791 - -89008. What is the ten thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 118, 940, 3176, 7534, 14722, 25448?\n\"Answer: 118*v**3 - v**2 - v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44116, -175951, -395492, -702739, -1097692, -1580351?\nAnswer: -2150716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2 - 18. Let d(v) = v**2 - 8*v + 6. Let r be d(b). Suppose -4*k - 2*m - 24 = 0, 52 = -r*k + 2*k + 5*m. Are -8 and k non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4708.338 and -0.1.\nAnswer: 470.8338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -11. Let j = 1 - 1.06. Let i = j - 2.94. Which is the third smallest value? (a) g (b) i (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 u when four letters picked without replacement from ksuukkukuu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 90 = -2*l, -4*b = -2*b - 3*l - 47. Let h(i) = i**2 - 9*i. Let o be h(b). What is the greatest common divisor of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6725 + -4569501027?\nAnswer: -4569494302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 28. Suppose 6*m = 3*m + 12. Suppose c - m*c - 3*k = -27, -k + 39 = z*c. Calculate the remainder when 47 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 - m**5 + 2*m**3)*(-6 + 2 + 3) + (-2*m**4 - 4*m**4 + 5*m**4)*(-4*m + 5*m - 3*m)*(-8 - 5 + 10).\nAnswer: -5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 691?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 13*i**2 + 3*i + 2. What is the remainder when 30 is divided by s(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80275763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqq when three letters picked without replacement from qqm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18897 - 616?\nAnswer: 18281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 - 341 - i + 337 - 2*i**2 to the form o*i**2 + m + l*i and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 28 = -2*g, 0*a + 4*a + 48 = 4*g. Let n = 19 - g. What is the least common multiple of 8 and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -21. Let j = o - 10. Suppose -3*x - 2*a + 186 - 12 = 0, -5*x + 290 = -j*a. Is x a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 - -119. Let c = -4 + 9. Suppose -71 = -c*g - 1. What is the highest common factor of o and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1843662 is divided by 70910?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2550333*s - 20402670. Give y(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 11 + 2*n - 15)*(0*n**3 - 6*n**3 - 3*n**3) + n - n - n**4.\nAnswer: -19*n**4 + 81*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228 + (7 - (-1 - -3)).\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-47 - -69 - (3 - 0)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7567271\/92 - -82254. Calculate the common denominator of -119\/40 and r.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144*4\/112*(-7)\/(-22)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5, -84, -1, -1\/6 in descending order.\nAnswer: -1\/6, -0.2, -1, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/2576 and 15\/35144?\nAnswer: 492016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22240701.\nAnswer: 3, 7, 23, 15349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -22*p**2 - 7. Let f(w) = 65*w**2 + 19. Determine 6*f(a) + 17*q(a).\nAnswer: 16*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -943*a - 179182. Calculate r(-190).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260716.\nAnswer: 2, 65179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 68521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 791906 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysls when four letters picked without replacement from ysbolssss.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1352*u = -1357*u + n + 2087, -4*n - 860 = -2*u. Calculate the remainder when 1266 is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -1\/15*k**5 + 0*k - 5\/6*k**3 + 0 + 1\/120*k**6 + 4*k**2 - 5\/24*k**4. Determine z(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 398342 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -90*2\/((-25)\/(150\/(-36))) + 8?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 43 = 19. Let a = 286 - l. Suppose -3*w = 3*w - a. What is the remainder when w is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40450, -161800, -364054, -647212?\nAnswer: -1011274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5090 or 5092?\nAnswer: 5092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1434*k + 4*k**2 + 5 - 694*k - 740*k - 1.\nAnswer: 4*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1037663 and 7312329.\nAnswer: 3043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -6. Let u be (8\/24)\/(r\/(-2)). Factor b**4 + u + 1\/3*b**3 - 5\/3*b**2 - 1\/3*b.\nAnswer: (b - 1)*(b + 1)**2*(3*b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 571 + 24 = 32*h + 83 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 6, f: 2, b: 2, d: 2}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 590 and 6490?\nAnswer: 6490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/(-22) - 18\/99. What is the nearest to -0.3 in -2, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/((-24)\/4))\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -6*q. Let a(p) = -3*p - 3*p - 10*p. What is a(n(r))?\nAnswer: 96*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 180 or 178?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 251777 and -0.107877406.\nAnswer: 251776.892122594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1016*a**4 - 5*a**3 + 40*a**2 - 4170484 with respect to a.\nAnswer: 4064*a**3 - 15*a**2 + 80*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-17)\/816)\/(5678\/(-713169)). Let i = q - -5\/5344. Calculate the common denominator of (-10)\/4*(-9)\/15*-11 and i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 103873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 5)*(4*b**2 + 0*b**2 - 6*b**2) - 5 + 5 + 2*b**2 - 2*b**2 - 3*b**2 + 7*b**2 + (-3*b + 0*b + 2*b)*(3 - 3 - b) + 0*b**2 + 0*b**2 + 2*b**2.\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 + 3*h - 56 - 39 + 153.\nAnswer: 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000702936851 to 5 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 4*r + 3*r)*(-5*r + 22*r - 34*r - 1)*(0*r**2 - 4*r**2 + 3*r**2).\nAnswer: 17*r**4 + r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*h - 70, 0 = -5*h + 2*w - 5*w + 64. Let x = 5 + h. What is the smallest common multiple of x and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -13\/12*o**4 + 0*o + 7\/60*o**5 - 4\/3*o**3 - o**2 + 7. Determine t, given that h(t) = 0.\nAnswer: -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7539792083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40*q + 70*q - 44*q)*(-5 + 0 + 3)*(3*q - 2*q - 3*q) to v*q + s*q**2 + a and give s.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2 = -3, d + 21 = 4*t. Let s = d + 41. Let h(i) = -i**2 + 4*i - 15. Let r(g) = -g + 1. Let y(j) = h(j) + 3*r(j). Give y(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*y**2 + 6389*y - 6389*y in the form k + u*y + n*y**2 and give n.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**3 + 74*p**2 + 71*p - 24. Give i(-36).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 divided by -58?\nAnswer: 101\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -189526*u + 379059. Calculate w(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/591138 and 161\/132?\nAnswer: 13005036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 2*l**3 - 6*l**3)*(-3 + 3 + l**2).\nAnswer: -6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.9562037 kilograms?\nAnswer: 0.0009562037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 2. Let c be f(3). Let a = -1 + -5. Let v(k) = 3*k**2 - 6*k + 7. Let w(l) = 3*l**2 - 5*l + 6. Let u(h) = a*w(h) + 5*v(h). Calculate u(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18.24 * 53756\nAnswer: -980509.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 1. Let g(q) = -q. Let p(s) = s - 1. Let d(y) = 7*g(y) + 4*p(y). Let w(a) = -d(a) - 4*r(a). Let i = 95 + -92. Calculate w(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 447976059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from bkrrbkrk.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 + 21*s**2 + 123*s + 99.\nAnswer: -3*(s - 11)*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*x**2 + 12*x**2 - 15*x**2)*(-21*x**2 - 9 + 2*x + 43*x**2 - 18*x**2) as z + o*x**2 + i*x + y*x**4 + l*x**3 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 77. Suppose -w - 1 = -p. Suppose -y + w = -0*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225*n + 88 = -236*n. Let x(c) = c - 37. Calculate x(n).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4017654 and 90?\nAnswer: 20088270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dargdrrcdrgr. What is prob of picking 1 c and 1 a?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*p + 3173 = 140*p + 80*p for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 + 15*t - 30. Let b = -37 - -45. Is w(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 12 + 36)*(5 - 4 - 3 - 2 + 5 + 1 + (-1 + 0 + 0)*(1 - 2 - 1) + 0 - 3 + 1)*(-3*w + 2*w - w).\nAnswer: -164*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - j + 2*j**4 + 82*j**4 + 9*j**4 + 27*j**4 - 4*j**4 + j**4 + j**4 + (2*j**4 - 5*j**4 + j**4)*(-5 - 2 + 5) - j**4 - 4*j**4 + 6*j**4.\nAnswer: 123*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 8 - 4)*(j**3 + 0*j**3 + j**3) + (0*j**3 + 0*j**3 - j**3)*(-3 + 2 + 2) + j**3 + 0*j**3 - 2*j**3.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1cc6 - -2860?\nAnswer: b9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-87)\/(-4) - (-7)\/56*2 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by -1 + 15 - (14 - 13).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2028 + 2010 = 3*g. What is the tens digit of g\/10 - (-36)\/(-60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence org when three letters picked without replacement from rogg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/57*(4\/(-14))\/(4*(-76)\/266)\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7*r + 1. Let f(t) = -6*t. Let i(u) = -5*b(u) + 6*f(u). Suppose 0 = -8*x + 5*x + 21. Suppose x = -2*w + 3*s - 11, -w - 2 = 2*s. Give i(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 21*d - 20. Let w be t(-22). Factor 1 + 1\/2*l**3 - l**w - 1\/2*l.\nAnswer: (l - 2)*(l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 412, 278, 128, -38?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*m = 0. Suppose m = -3*t + 6*t - 117. What is the greatest common divisor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 379305 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -107*y**3 - 16*y**2 - 60*y + 1. Let d(l) = -21*l**3 - 3*l**2 - 11*l. What is 16*d(p) - 3*i(p)?\nAnswer: -15*p**3 + 4*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59116748699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, h: 2, a: 2, w: 1, c: 1}. Give prob of picking 1 h, 1 f, and 2 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20140.\nAnswer: 2, 5, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 66138230 to the nearest one hundred thousand.\nAnswer: 66100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1176*z**3 - 1798*z**3 + 248*z + 624*z**3 + 111*z.\nAnswer: 2*z**3 + 359*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62748 is divided by 8962.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 13*f - 29. Suppose 0 = 3*c - 4*c + 4*s - 6, -4*c - 4*s + 56 = 0. Let n be x(c). Solve 0 = -h + 2*z + n, 4*z + 26 - 6 = -4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 7 = 5. Let b = 0 - n. Is 3 a factor of (8\/b - 2)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*h - 37*h - 33*h**2 + 62*h**2 - 51*h + 22 - 32*h**2.\nAnswer: -3*h**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13913, 13911, 13899, 13871, 13821, 13743, 13631, 13479?\n\"Answer: -g**3 + g**2 + 2*g + 13911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*m + 327 - 195 = 0. Which is the nearest to 0.9? (a) m (b) 8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1471\/15 + 98. Let y be -4*2\/16*3\/(-3)*2. Which is bigger: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 506\/23 - -68 - (-4 + -6) and 6210?\nAnswer: 62100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114464851*x**5 - 302756977*x**2.\nAnswer: 6867891060*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -s - 3. What are the prime factors of -2 + (144 - s) - (-11 + 10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 - 11*o - 6. Let l(b) = 1. Let p(x) = k(x) + 6*l(x). Find the second derivative of p(w) wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -47. Suppose 4*t = -r - 1. What is the tens digit of (-2)\/t + 3380\/40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 plus -0.8?\nAnswer: -30.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 5:27 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -11. Let r = 164609 + -164607. What is the nearest to -0.7 in j, r, 0.5, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -185*b + 2*b**2 - 64*b - 70*b + 8*b**2 as z + y*b**2 + k*b and give k.\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f + 0*f)*(8*f**2 + 2*f - 3*f**2 - 7*f**2).\nAnswer: -4*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*k - 1. Suppose 0 = k*t - 6*t + 4*q + 36, -3*q + 64 = 4*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 46 + -2151?\nAnswer: -2107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*f - 6*f - 150, 5*h + 140 = -f. Let x = h + 29. What is the derivative of 7*c**x - 4*c**2 + 5*c**2 + 5 - 1 wrt c?\nAnswer: 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**5 - 9*m + 9*m - 1949*m**4 + 576*m**2 + 0*m + 1857*m**4 - 120*m**3 = 0. Calculate m.\nAnswer: -3, 0, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 2 + -1 + 21 + -7. Let g(n) = -20*n + y*n + 0*n. Let r(u) = 4*u. Determine r(g(m)).\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 326*d + 0*d**2 + 0*d**2 + 65 + d**3 + 340*d - 656*d to the form r*d**2 + o*d**3 + f*d + g and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 7*q + 8. Suppose 19*u - 14 = 17*u. Calculate j(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/321 (b) -0.1 (c) 60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -171 (base 9) to base 13\nAnswer: -b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210220101010 - -111011?\nAnswer: 1210220212021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 750?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3806102\/9, -0.1, -2\/13, 4, 0.3 in descending order.\nAnswer: 3806102\/9, 4, 0.3, -0.1, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*(i\/(i**(2\/5)*i*i*i))\/i)\/i**(-5\/6)*(i*i**(-1))**(1\/89))\/(i**(-3\/5)*i*i\/i**(-8)*i**(-7)*i**(-1)) assuming i is positive.\nAnswer: i**(-59\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 15*w + 75. Let x be u(-4). What is the common denominator of (x - (-52)\/60)*310\/48 and -47\/7?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*l - 117*l = 11. Solve l = g + 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 454184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -70, 0, 26, 10, 4 in increasing order.\nAnswer: -70, -3, 0, 4, 10, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81624115 is divided by 2633035?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 + -45. Suppose -4*a = 4*r, -o*a - 1 = r + 3. Sort 2, 5, a in increasing order.\nAnswer: a, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 2110110?\nAnswer: -2110121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -13. Let s be 1\/((-27)\/15 - -2). What is the nearest to d in 2\/5, -2\/7, s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 2\/9, 0, 4 in increasing order.\nAnswer: -5, 0, 2\/9, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 3*g + g - 6, -6 = -2*j + g. Suppose -4*d = -d - j. What is the remainder when d is divided by 2\/5 - 9\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(363)*2).\nAnswer: sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 i when four letters picked without replacement from lmimgbbmublgii.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57\/7, 2, 1\/3, 6, 3 in ascending order.\nAnswer: -57\/7, 1\/3, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 231, 764, 1799, 3504, 6047, 9596?\nAnswer: 14319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3.8 (b) -3 (c) 8 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891716017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502437 is divided by 795?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-4)*(-4 - 2). Let h = -6 - w. Suppose -3*t - h*m - 12118262 = 5881726, -3*t = -2*m + 18000008. What is t rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 5*g**2 + 5*g - 3. Suppose -2*q + 16 = -0*u - 2*u, 0 = -3*q - 5*u. Is v(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2 = -2*u, -19 = -3*c + 5*c + 5*u. Let p be 2*c\/336*7. Let t = 0.2 - 5.2. What is the nearest to p in t, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(2\/33)*(v*v**10\/v)\/v*v*(v\/(v\/v**(-1\/46)))\/v*v**26 assuming v is positive.\nAnswer: v**(54707\/1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/116 - 53\/580. Let t(y) = 2*y**3 + y**2 - 2*y + 1. Let v be t(1). Let a = 1 - 1. Sort r, a, v in ascending order.\nAnswer: r, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/66, 4423, 3, -6 in descending order.\nAnswer: 4423, 3, 1\/66, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Suppose c = -t*c + 60. Suppose m - c = 8. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/230 and -37\/61.\nAnswer: 14030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 135, 336, 641, 1062, 1611, 2300, 3141?\nAnswer: 4146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 - -98 - 1*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -6, -7, -10?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 - 12*g**3 + 5*g**3.\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 127557373?\nAnswer: 127557371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-2)\/i)\/i)\/i*i*i*i**6)\/(i\/i**13*(i*i*i*i**(-6))\/i) assuming i is positive.\nAnswer: i**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 790 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 568241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**2 + 0*h**2 + 2*h**2 + (-h + 3*h + h)*(h - 4 + 4).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 279 and 48781848.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (171\/(-12))\/(7*(-108)\/168). Determine r, given that 1 - 7\/6*r**2 + p*r = 0.\nAnswer: -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 490\/(-40) - -9 - -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 10*q - 16. Let n(s) be the third derivative of -s**5\/60 - s**4\/6 + 35*s**3\/3 - 53*s**2. Let j be n(-11). What is r(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*(l\/(l*l**2))\/l)**(1\/11)*l**(-1\/7)*l\/(l*l**(-1\/10)))**(-1\/3))**43 assuming l is positive.\nAnswer: l**(4429\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -542 - -636. Is x a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -36*i**3 - i - 1. Determine r(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*j - 2720 = -3*j, -5*i + 4*j = -2702. What are the prime factors of i?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, r: 4, v: 5}. Give prob of picking 2 t.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/113))\/q**(1\/7))**(-30) assuming q is positive.\nAnswer: q**(-20760\/791)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 33\/7 + -5 - 2390\/14. Let m = -129 - a. Determine h so that -m*h**4 + 44*h**4 - 4*h**3 + 4*h**3 - 6*h**2 + 4*h = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1418383 * 33\nAnswer: -4.6806639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a factor of 786964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 745\/185 + -4 + 3074\/(-41181).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (78\/8)\/((-9)\/(-48)). Suppose -68 = -2*c + r. Suppose -m + c = 4*m. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, o: 14}. What is prob of picking 1 o and 3 d?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 13, o: 1, k: 3, r: 2, f: 1}. What is prob of sequence yk?\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b = -72 + 20. What is the third derivative of 2 - 4865*u**3 + 107*u**2 - b + 4953*u**3 wrt u?\nAnswer: 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34c (base 16) to base 3.\nAnswer: -1011021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 108*u**2 - 111*u + 262. Determine w(109).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 - 5 + 5 + (2*m + 0*m - m)*(-m - 3*m + 3*m) + (-1 + 1 - 2*m)*(-51 - 17*m + 51) in the form i*m + j + k*m**2 and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 16*c + 21 = 0. Put -15, c, 2 in descending order.\nAnswer: 2, c, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 281451.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m - m + 3*m)*(-1 + 6 + 6)*(1 + 5 + 6) as h*m + k and give h.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 4. Let g be m(-6). Suppose -2*q - g*q = 2*k - 290, 219 = 3*q + k. Let p = 311 - 292. What is the remainder when q is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 7, 1\/27, 0?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 2. Let s be i(-4). Suppose -2*n = -0*n - 4. Is (-2 + (38 - s))\/n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.80923 millennia in decades?\nAnswer: 680.923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 11:27 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98487583.\nAnswer: 19, 5183557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3201154 years in centuries?\nAnswer: 0.003201154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -634 + 642. Calculate the remainder when 54 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**5 + 3*r**5 - 2*r**5 + (5*r - 3*r - 2*r**4 + 0*r**4)*(3*r + 0*r + 2*r).\nAnswer: -9*r**5 + 10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**6\/180 - d**5\/150 - d**4\/90 - d**2\/2 + 1. Let y(z) be the second derivative of i(z). Factor y(l).\nAnswer: 2*l*(l - 1)*(5*l + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 1. Let x be u(1). Suppose -x*g + 25 = 3*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11284 and 40145?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.08 and -633.9?\nAnswer: 633.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/1500 and -43\/20.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-2 + (-27)\/(-15)). Let c = 109 + d. Suppose 3*q + c = 11*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3 = 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1575631 (base 11) to base 9\nAnswer: 5044432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20182850 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -586, -1175, -1756, -2329?\nAnswer: -2894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 12:19 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 3*p - 4. Let h be t(-4). Let l = h + 11. Let o(m) = m - 2. Determine o(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*j - 2 - 11*j + 8*j**2 - 5*j**2 - 2*j**4 + 6*j**3 in the form a*j + y*j**3 + v*j**4 + k + x*j**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -13, 0.013, 0.02, -2\/91?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -240, 1, 4, -4, -5 in descending order.\nAnswer: 4, 1, -4, -5, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9885*j + 8355*j - 138*j - 3760*j + 3528*j)*(1 - 4 + 1 + j) to r + v*j + o*j**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/2)\/(36\/(-72)). Let n be (-1 - (-60)\/44)*(2 + s). Suppose 0 + 2\/11*l**4 - 4\/11*l**3 + n*l - 2\/11*l**2 = 0. What is l?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/6)\/((-10)\/30). Which is the third smallest value? (a) -0.1 (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (43\/(-2))\/(24724\/(-1176) + 21). Solve 913*c - u*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*p + 394. Suppose -2*a = -a - p. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2687637\/80 - -33595. What is the common denominator of -121\/40 and r?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -3*h**2 - 15638. Let q(c) = -5*c + 2*c + 0*c. Give b(q(p)).\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 2*t + 5*t)*(3 + 3 - 3) + (-5 + 3 + 3)*(3*t - 4*t + 3*t).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 272*l + 24392. What is z(-91)?\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a (base 11) in base 13?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3103\/1382 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12247901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(1*5*8\/(-20)). Let w = -1 + 1. Suppose 3*q - 15 = 3*d - 0, 3*d - 4*q + 17 = 0. Sort 5, w, d, x in decreasing order.\nAnswer: 5, w, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1346563643?\nAnswer: 1087, 1238789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3101895 and 53946.\nAnswer: 6203790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((468\/4)\/(-9))\/(-1))\/(3\/6).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8296 and 49776?\nAnswer: 49776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 389 - 386. Factor -3*b**n - 263 + 143 + b**3 - 242*b - 124*b**2.\nAnswer: -2*(b + 1)**2*(b + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (112\/70)\/((-2)\/15). Does 15 divide (2 - 52\/8)\/(b\/80)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.23 * -0.09\nAnswer: 0.0207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 368 and 1024.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12580 - 151081\/12. Calculate the common denominator of 87\/4 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**11)\/(l*l**(-4)) assuming l is positive.\nAnswer: l**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -5. Let z be (-5)\/n*(-1)\/(-5). What is the nearest to -1 in -0.4, 2\/9, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 0 - 6 + 8 - 2*l. Let w = 46 + -44. Suppose w*y + 11 = 5*c, -22 + 3 = -2*y - 5*c. Determine n(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*u, 2*n - 66 = -5*u - 71 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.967 - 6.003. Let j = 25 + t. Round j to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x**2 + 5*x + 5. Suppose -9 = -3*a + 3*r, 3*a + 12*r - 10*r + 11 = 0. Give f(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4677*p = 4690*p - 65 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.559*-252.97\nAnswer: -141.41023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -176*f + 53*f + 14 + 45*f + 45*f + 47*f as i + b*f and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -86 and 597.04.\nAnswer: 511.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 12*v - 50 = 0. What is the greatest common divisor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51 - -4502?\nAnswer: 4553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, g: 11}. Give prob of picking 2 r and 1 g.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in 1, 0.4, 3\/8, 0.1, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35880550?\nAnswer: 2, 5, 19, 179, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -56*i + 2. Let n be c(9). Let s = -11061\/22 - n. Calculate the common denominator of s and -1\/276.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q**2 - 4. Let y(o) = -4*o**2 - 1. Let z(n) = 2*d(n) - 6*y(n). Let v(m) = 7*m**2. Calculate z(v(r)).\nAnswer: 588*r**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1, 2191 in descending order.\nAnswer: 2191, 9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42310 + 13?\nAnswer: -42264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**4\/2 + m**3 - 14*m. Let d(q) = -4*q**2 + 4*q. Calculate -8*d(t) + 5*j(t).\nAnswer: 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 3:01 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - 6.3. Let q = c + 18. Let r = q - -1.1. Put r, 5, 1\/2 in descending order.\nAnswer: 5, r, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*v - 4*v - 25, -5*r - v - 20 = 0. Let q(o) = 14*o**2 - o. Is q(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 234 = -269. Let h be 20\/3 + v\/(-3). Calculate the greatest common factor of h and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z - 496 = -6*z. Let c(t) = -t**3 + 19*t**2 - 47*t - 12. Let p(r) = -r**3 + 7*r**2 - 4*r - 8. Calculate the remainder when p(6) is divided by c(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8, -30, -64, -110, -168, -238, -320?\n\"Answer: -6*d**2 - 4*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/3 (b) 53257 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(14) + -5*sqrt(1400) + sqrt(14))\/((sqrt(2) + (sqrt(2) - (sqrt(2) - sqrt(20)\/sqrt(10))))*4).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27485 = 1489*j - 11229 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5844 divided by 4\nAnswer: 1461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkknn. What is prob of picking 2 k and 2 n?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + -1. What is the common denominator of -46 and (t - -7) + (38 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 1:51 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*n - 39*n + 1 - 49*n**2 - 1 - 494*n**2 wrt n.\nAnswer: -1086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k = 41*k - 1088. Suppose 127*s - k*s = -17946. What is s rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 258\/(-54) + 5 + 50\/18. Suppose 196 = n*r - 5. What are the prime factors of r?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 9:32 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -2*f**6\/15 - 19*f**5\/5 - 110*f**4\/3 - 424*f**3\/3 - 240*f**2 - 19*f. Solve l(a) = 0 for a.\nAnswer: -10, -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 2:52 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 112012?\nAnswer: 112003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001101010001 (base 2) in base 16?\nAnswer: -6351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3308646 divided by 3?\nAnswer: -1102882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2210210 + 11?\nAnswer: 2210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1218335 by -1753.\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + n - 2*n + 1777 - 1777 - 11*n + (-1 + 2 - 4)*(1 - n - 1) - 16 + 16 - 4*n.\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8999 = -103*m - 14015 + 12123 for m.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Suppose -2*t = 3*y - 43, -5 = -r*y - 5*t + 42. Let d(p) = p**3 + 7*p**2 - 2*p + 8. Let f be d(-7). What is the highest common factor of y and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -745*m**2 + 4521*m + 8. Calculate the remainder when c(6) is divided by 123.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -5 - (-41 + 47).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 70*j**4 + 245*j**3 + 175*j**2 + 5*j - 5. Let w(g) = g**5 + g**2 - g + 1. Let y(m) = -f(m) - 5*w(m). Solve y(a) = 0 for a.\nAnswer: -9, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 3)*(0 - 2 + 0)*(3*v - 2*v + v).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + sqrt(175) - (sqrt(567) - (sqrt(567)*2)**2)).\nAnswer: -4538 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**3\/2 + 4*q**2 + 98231*q. Let b(z) = z + 1. Let x(i) = -2*i - 4. Let r(u) = -4*b(u) - x(u). Give t(r(d)).\nAnswer: 6*d + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1369709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 - 599.26?\nAnswer: -548.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 4*s + 20, -29*l + 46*l - 21*l + 56 = 4*s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, e: 2, c: 2, f: 1, h: 4, w: 3}. Give prob of sequence hhoc.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-two fifths of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**3 + 18*u**3 + 16*u**3.\nAnswer: 27*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {p: 2, q: 5, z: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g + 181 - 21 = -277 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -418*a + 565 wrt a?\nAnswer: -418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 2:29 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -5, 3, -709522 in descending order.\nAnswer: 4, 3, 1, -5, -709522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.23 - -1.57. Sort -1\/3, 2, p, 0.\nAnswer: -1\/3, 0, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**3 - 3*d**2 - 451*d - 856?\nAnswer: 6*d**2 - 6*d - 451","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432964*w**5 - 18192384*w**4 + 35401752*w**3 - 17959648*w**2 + 318756*w - 1440 = 0.\nAnswer: 3\/329, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2111\/12 + 176. Let j = r - -1\/6. Let g = -2.03 - -0.03. What is the biggest value in 0.5, j, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28494\/22 - (-10)\/(-55). Suppose 0 = -2*u - 3*u + o. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (94\/(-27))\/((-531622)\/(-2286) - 233)?\nAnswer: 47\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.26 and 1?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 11:49 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7509?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -130882*b**5*g**2 - b**3*g**3 - 28*b**2*g**3 + 1842*b*g**3 wrt b?\nAnswer: -7852920*b**2*g**2 - 6*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 29683799555.\nAnswer: 29683799560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 22 + 20. Let v be -38 - (3 - 0)\/(-1). What is the lowest common multiple of (-4)\/s - 500\/v and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 208.497 - -0.503. Let i = z - 205. Is -11 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -286 + 284 + (-12 - 2)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1045269.\nAnswer: 3, 116141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684530 is divided by 1564.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10707.3 + 10708. Which is the second biggest value? (a) -187\/8 (b) 0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 667291 and 683.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7*m**3 - 5*m**2 + 5. Let p(d) be the third derivative of -7*d**6\/120 + d**5\/15 - 2*d**3\/3 - 636*d**2. Calculate 4*k(x) + 5*p(x).\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s - 686. Calculate y(-121).\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 549671?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 200012367?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1067448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1140700 to the nearest ten thousand.\nAnswer: 1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 411585948 divided by 5081308.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/19 (b) -3\/2 (c) 2\/7 (d) 17\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**2\/3 + 13*f\/3 - 68\/3 = 0.\nAnswer: -17, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 81*d**5 + 286614*d**4 + 320818360*d**3 + 109551814096*d**2 + 48642179088*d + 5402926944 = 0.\nAnswer: -1446, -646, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -728*m**5\/5 + m**4\/2 - 10630*m + 4404. Differentiate x(j) with respect to j.\nAnswer: -2912*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -0.5 (b) 10 (c) 3 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(sqrt(475) + -2) + sqrt(475) + (sqrt(475) + 1*sqrt(475))**2 + -5 + -4.\nAnswer: 1898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4)*-4*-6)**2 + (sqrt(304) + 3 - sqrt(133)\/sqrt(63)) + -6*(sqrt(475) + 0 - sqrt(475))**2 + -6*(sqrt(19) - sqrt(57)\/sqrt(3))*4.\nAnswer: 11*sqrt(19)\/3 + 10947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60.328 - 0.328. Let m = -49988 - -50047.922. Let s = m - i. Round s to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 151061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*b - 8 = 0, -2*b - 62 = -5*l + 2*b. Suppose -24 = 2*z + 2*t, -3*t = -2*t + 5. Let r = z + l. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 11. Suppose -3*i = -i + 10, 2*w + v*i = 3741683. Let c = w - 2630854. Round c to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/6)*k*k**(1\/10))**(-1\/4)\/((k\/(k*k\/(k\/k**3)))\/k*k*k\/k**(2\/3))**(-2\/41) assuming k is positive.\nAnswer: k**(-1099\/2460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 9 + 13)*(3 + 2 - 3)*(-4*i + 4*i - 2*i) in the form h*i + y and give h.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -1, 5\/3, -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2402 (base 5) to base 2.\nAnswer: 101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, 0.7, -27.55, -2\/3 in ascending order.\nAnswer: -27.55, -2\/3, 0.13, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (22532\/1720)\/(-3*(-9 - 1076\/(-120)))?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/2)\/(9\/24). Which is the nearest to -1? (a) h (b) 0.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -902654, -902666, -902678, -902690, -902702?\nAnswer: -902714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50460744 is divided by 410?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13108229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*s + h, 0*h - 6 = -3*h. Let u be (-8 + (-176)\/(-24))*12\/16. Which is the closest to 4? (a) s (b) u (c) -2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.7246 + 3.7246. Which is the nearest to -67? (a) -11 (b) x (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 90)\/((-1)\/2). Suppose p + 130 = 2*x. Let u = -72 + x. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + 0.7. Suppose -8*m + 39 + 105 = 0. Let t be (-10)\/(-45) - (41\/m)\/(-1). Which is the closest to -1\/4? (a) t (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39041.\nAnswer: 39041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000281283 to seven decimal places.\nAnswer: -0.0000281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 2*y + 604. Suppose 31*a - 991 + 4277 = 0. Let l = y + a. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 10:13 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(21)\/sqrt(3)*-6 + 3))**2 + (0 + sqrt(1008) + 3 + 0)**2.\nAnswer: 36*sqrt(7) + 1278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 0.13, -5, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(1 - 9\/12). Let u = 0.6 - 2.6. Let g = u - 1. Which is the smallest value? (a) g (b) -1\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 29 = 5*u, -5*w - 45 = -5*u - 0*u. Let a = 14 + u. Let l be (a\/(-6) + 3)*1. Sort l, 5, 5\/6 in descending order.\nAnswer: 5, 5\/6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 + d**4 - 534*d - 2*d**4 - 28*d**2 + 534*d - 41 + 47 in the form t*d + g*d**4 + i + r*d**3 + o*d**2 and give o.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 4883, 4 in descending order.\nAnswer: 4883, 4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-708)\/(-312) + (1 - 1) and -1 - 1 - (-122)\/28?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125316 is divided by 13897.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 at most 874\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5*m + 12, -p + 5*p + 2 = 5*m. Let x(v) = -8 + v**3 - 6*v - 12*v**2 - 10*v**2 + 35*v**m - 8*v**2. Give x(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2450 + 436 = -106*s. Put -2\/9, -3, -0.03, -5\/6, s in descending order.\nAnswer: s, -0.03, -2\/9, -5\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2*b)**(-10))**30 assuming b is positive.\nAnswer: b**(-900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -11. Find the common denominator of 80\/28 - (-3 + a) and ((-12)\/(-10))\/(32\/(-70)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.17 and 2.5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-71)\/4)\/(3\/(-12)) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z = -0*z + 45 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2. Let i be 1 + (-4)\/18 + -1. Let l = -164\/33 + 40\/11. Put l, i, w in ascending order.\nAnswer: l, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 15789.1359\nAnswer: -3157.82718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -41003.5 plus 63863?\nAnswer: 22859.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let u be -15 + 19 - (-116 - (1 - -1)). Suppose x + 18 = u. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1031110 - -2213231?\nAnswer: 3311001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -32032, -64053, -96074, -128095, -160116, -192137?\n\"Answer: -32021*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002479 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 16*z**2 - 20*z - 46. Suppose -31*s = -35*s - 68. Let p be u(s). Solve -p*y = -3 + 28 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + t + 3*t)*(-3*t**3 + 4*t**3 - 2*t**3) + ((-2 - 2 + 6)*(-6*t**2 + 3*t**2 + 2*t**2) - 1 - 2*t**2 + 1)*(-2 + 2 + t**2).\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3007 * 165240.\nAnswer: -496876680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 841502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/5 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 1\/275, 0, -2, -6\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 10. Let u(f) = 305*f + 63. Give -u(v) + 6*z(v).\nAnswer: -311*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221 + -202?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3989*y - 207*y**3 + 3989*y - 1 + 1 - 2*y**3 + (0*y + 0*y - y**2)*(3 - 3 + 2*y) + 4*y**3 + y**3 - 4*y**3.\nAnswer: -210*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -148 - -151. What is the derivative of -28 + 0*g**3 - 49 + j*g**3 + 54 + 2*g wrt g?\nAnswer: 9*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -13*i - 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 863159 and 313876?\nAnswer: 3452636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 13*h**2 + 3*h + 13. Let p be l(-6). Let v = p - 84. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 262*k - 5. Let t(n) = -8*n + 49. Let s be t(6). What are the prime factors of o(s)?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*a = -134*a - 24. Solve a*u - 5 = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6881.6 * -0.2.\nAnswer: -1376.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2))**(-6\/13))**(-13) assuming b is positive.\nAnswer: b**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 6*c - 12. Put 9, 4, c in decreasing order.\nAnswer: 9, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r - 5*r - 10 + 3*r**3 + 4*r + 8 as y*r**2 + h*r**3 + n*r + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1597 = t, -1613 = 17*a - 18*a + 5*t. What are the prime factors of a?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 0 - 5)\/(-1). Solve -i - j = 2*x, 5*i + 0 - 3 = 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0 = 15, 0 = 3*i + 5*p - 24. Solve i = 37*u + 225 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 3 = -13*j. Suppose -5*v + 13 = j*w - 2, 0 = -2*w - 4*v + 10. Let o = -3 + -5. Sort 4, o, w in decreasing order.\nAnswer: w, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 353*f + 199456 - 147212 for f.\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, k: 1, a: 2, l: 2, q: 2}. Give prob of sequence lw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 4.848824.\nAnswer: -5.048824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3412*p**2 - 6841*p**2 + 3430*p**2 + 11.\nAnswer: p**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/32)\/(123\/4920).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-14) + 2\/7. Let m be 15\/13 + 1\/r. Let g(z) = 25*z**2 - 627*z + 54. Let k be g(25). What is the closest to -0.5 in m, -1\/4, k?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*p + 1012, 299 = -5*o + 3*p + 1564. Let s = o - 190. Calculate the highest common divisor of s and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c = 32 + 1 + 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -737517.99 and -12.\nAnswer: -737529.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26678406871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r. Let s(t) be the first derivative of -7294*t + 7294*t - 7*t**2 - 25. Give n(s(a)).\nAnswer: 42*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 547266.4ml in litres?\nAnswer: 547.2664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2. Let f(n) be the first derivative of -6*n**2 + n - 32. Calculate f(j(t)).\nAnswer: 12*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-16) + -1 + 2)\/((-120)\/(-32)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/13, 5, -2, -11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 787\/1652 + -45\/236. Factor -q*g**2 + 2\/7 + 0*g.\nAnswer: -2*(g - 1)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -21 (b) -0.4 (c) -1 (d) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-2 - (-4)\/(28\/19))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*b - 11 = -4, 3*p = 2*b + 18. Let r(o) = o + 1. Let u be r(p). What is the units digit of u + 2*(0 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -380*v + 6. Let u(a) = -759*a + 16. What is 5*t(j) - 2*u(j)?\nAnswer: -382*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1455.\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 2*j = -2*q - 84, 54 = 4*q + 3*j. Let z(h) = h**2 + h - 6. Calculate the lowest common multiple of q and z(8).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 5:47 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*a + 2*w, -4*a + 20 = 3*w + 3. Suppose -2 = g + g, a*d = -g + 234. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*42\/(-45864)*-154.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5063398, -10126800, -15190202, -20253604, -25317006, -30380408?\n\"Answer: -5063402*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10 = 0, -4*v - u = 3*u - 20. Suppose 3*j = j + z + 6, 3*z = v*j - 3. What is the remainder when j is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67\/((-26197)\/(-10098)) - 26.\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21998829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6973*c - 6973*c + c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4a31 + -1b8?\nAnswer: -4be9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhhqqq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 4096 (c) 8 (d) 6\/5 (e) -0.1 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65.98 + 66. Let d = 2.98 + g. Which is the nearest to 7? (a) -3\/2 (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-3\/10)*y)*y\/y**(-1\/15))**31 assuming y is positive.\nAnswer: y**(1271\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s - 405. Let c be x(85). Do 189 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1176)*-3*4)\/(sqrt(12) + sqrt(108)*-2 + 4*sqrt(108) + sqrt(108) + sqrt(108))*-2.\nAnswer: -168*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/5))**(-2\/13))**24*((x**4*x)\/x*x**(-3\/5))\/((x**0\/x*x*x)\/x)**(5\/7) assuming x is positive.\nAnswer: x**(317\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30727736 and 208?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 + -74. Suppose -3*y + 3179 = 4*d, r = -4*y + 8*y + 12. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*g + 4*n, 3*n = -1 - 2. Suppose -g*w**4 + 3 + w - 3 + 15*w**3 - 5*w - 12*w**2 = 0. What is w?\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*1*(-47)\/(1316\/196)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w**2 + 2 - 2)*(-6 + 10 - 6)*(4 - 2 - 5) to the form s*w + p + k*w**2 and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuch when four letters picked without replacement from ixnuchh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -164*l**2 - 36*l**2 - 950*l**2 - 645*l**6 wrt l.\nAnswer: -77400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 37961187?\nAnswer: 113883561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -8. Let h = u - -12. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 1.8. Let d = z - -0.8. Put d, 0, -1\/7 in increasing order.\nAnswer: d, -1\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6*x**3 - 8*x**2 + x + 24. What are the prime factors of r(-6)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 5*w = -5*c - 11, -4*c - 2*w + 6 = 0. Suppose 2*p = c*l - 214, 358 + 49 = 4*l + 3*p. What is the greatest common factor of 260 and l?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -42731*o + 42747*o. Which is bigger: o or -682\/59?\nAnswer: -682\/59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -203, -307?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -35. Suppose 567 = c*v + 33. What are the prime factors of v?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -742*a - 124998 + 9403 = 1153*a for a.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 q when four letters picked without replacement from gggqqpggqggp.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*t - 18. Let f be (-6)\/(-9) - t\/(-3). Suppose 4*h + 84 = -f*y + 256, -h - 5*y + 43 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhcpep. What is prob of picking 1 p, 1 e, and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15085 - 18*p**3 + 7*p**4 + 62*p**2 - 2*p**4 + 18*p**3 + 15083 to the form o*p**2 + w*p**3 + y*p + j + c*p**4 and give o.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypuruuur. What is prob of sequence uu?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f. Suppose -4*v = 6*w - w - 309, v + 5*w - 96 = 0. Let t(i) = 1 + 75*i - 1 - v*i. What is t(y(h))?\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-3*5))\/(1\/(-2))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-115808)\/33)\/112*3?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozo when three letters picked without replacement from {z: 10, o: 10}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 3 (b) -2\/13 (c) -3\/7 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 - 3*p**5 + 3*p**5 + (-1 - 4 + 2)*(p**5 + 3*p**2 - 3*p**2) - p**2 - 5*p**5 + p**2 - 3*p**5 + 6*p**5 - 6*p**5.\nAnswer: -9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4535766 is divided by 95?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-8) - 147\/28)*-1. Suppose 5*c = -5*d + 360, g*c - 105 + 415 = 5*d. What is the remainder when 122 is divided by d?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 5, -5, -67, -9, 84 in decreasing order.\nAnswer: 84, 5, 4, 0, -5, -9, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -5.3. Let x = 113.9 + -112.9. What is the nearest to x in k, 0.3, -1\/7, -0.11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 159839*l.\nAnswer: -l*(l + 159839)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 63\/27 + (-1 - 0)\/3. Sort -0.5, 1\/4, 5, d.\nAnswer: -0.5, 1\/4, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 162 + 18 - 2*f - 180. Let j(v) = -7841*v. Determine i(j(c)).\nAnswer: 15682*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16502869*c**3*f**2*v**2 - c**3*f**2 - 9329*c**3*f - c**3*v + 2*c**2*f*v + c**2 - 7 wrt v.\nAnswer: 33005738*c**3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.7 - -1.1. Let w = a + -3. Let g = 30.227 - 28.227. Does w = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 16) in base 12?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 5:50 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 392 + -276. What is the tens digit of (0 + 1 + 3)*x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -616*l - 707*l = 3170*l - 852*l - 247588 for l.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51.52 - 51.6. Let p = -28 - -27.62. Let l = p - j. Sort l, 1\/6, 0.2.\nAnswer: l, 1\/6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {f: 1, z: 1, u: 2, y: 2, n: 1, h: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1\/4, 2\/3, -3, -24, -17625?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 - (-5 - 20\/(-5)). Suppose -14 + 110 = f*w. Suppose 2*b + 120 = h - 2*b, 0 = h - 2*b - 114. Calculate the highest common factor of w and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 9*p + 15. Let b be v(-5). Let i = 24 + b. Suppose 0 = c + 3, -4*j + 5*j + 5*c + 17 = 0. Sort j, i, -5.\nAnswer: -5, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002406121 rounded to 5 decimal places?\nAnswer: -0.00241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*k = -1448 - 382 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-10))\/((-38130)\/3100)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3621089 and 278.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1045 = 6*m - 455. Is 17 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 883 = 5*c - c, 5*f - 1110 = -5*c. Let r = 1494 + -1419. What is the remainder when c is divided by r?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 16 - s**2 + s - 3*s**3 + 8 - 2*s**3 + 9*s**3 - 3*s**3. Let x be 0*((-3)\/(-2) - 1). Is 12 a factor of f(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 166 = 374. Sort l, -2, 4, -6 in ascending order.\nAnswer: l, -6, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/11 <= 932\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 25. Sort 4, i, 1\/4 in decreasing order.\nAnswer: 4, 1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4003.721, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a1776 + -7?\nAnswer: a176c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1211076*n**2*q**4 + 6*n**2*q**3 - 102936*n**2*q**2 + 11*n*q**2 wrt q?\nAnswer: -29065824*n**2*q + 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 + h**5 - h**5 + (-2*h**5 - h + h)*(-2 + 6 - 3).\nAnswer: -h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -574, -585, -586, -571, -534, -469, -370, -231?\n\"Answer: i**3 - i**2 - 15*i - 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - 0\/(-4 + 7). Let r(u) = 7*u**2 - 8*u + 2. Is r(z) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 161*v**2 - 84*v**2 - 449*v - 84*v**2 to the form p + z*v**2 + s*v and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6\/5 (b) 1 (c) -5 (d) -0.8 (e) 1\/2 (f) -2 (g) 2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 1. Let w(c) = -6*c**2 - 6*c - 4. Calculate 4*f(v) - w(v).\nAnswer: 2*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (37 - (30 + -13 - -1) - 21) + -95\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 5*s + 14, 2*v - 14 = v - 3*s. Let x(f) = -v*f + 3*f - 2*f. Let a(k) = 2*k**2. Determine a(x(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/(-3)*(-12)\/(-4). Let l = t - -22. What is the least common multiple of l and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76766 and 381996.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 12*h + 13. Let w be c(11). Suppose 2*p - 4*x + 6 = -0*x, 3*p = -w*x + 7. Solve p = 5*f - 9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 4*t + 2018 - 2024, -18 = 2*t - 3*b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*j + 2. Suppose 4*a = 79 - 7. Calculate the remainder when 0\/(4 + j) - -34 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 868*v + 863*v + 5 = 0, -4 = -4*k + v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23377.\nAnswer: 97, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwlmlwwlllwlullffw. What is prob of picking 1 m and 2 w?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -5*k + 12, 3*k - 2 = -2*s + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2390, -4782, -7174, -9566, -11958, -14350?\n\"Answer: -2392*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 116 - 114. Solve -5*k - 4*c + 5 + 6 = 0, -k - z*c = -7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 678167857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1288772, -2577551, -3866322, -5155085, -6443840, -7732587, -9021326?\nAnswer: -10310057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -274 - -275.4. Let t = 0.39 + 3.21. Let s = t + w. Which is the second smallest value? (a) 0.1 (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 56, 68, 78, 86?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - -20. Let f = 12 + 3. What is the remainder when i is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12435 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 + 249 = -17*x + 170 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168807570 and 79890.\nAnswer: 168807570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j, -5*n = -3*n - j + 18. Suppose -2*p = -p + 11. Which is smaller: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 5, k: 3, q: 8}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1038475127?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 6:38 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + -60 + 1 + (6 - 5) + -55.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m - 24. Let l(t) = 2*t + 1. Let a(d) = 5*l(d) + r(d). Calculate a(18).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 38. Let v(c) be the third derivative of -1\/42*c**4 + 0 - 1\/735*c**7 + 1\/210*c**d + 0*c**5 + 0*c - 3*c**2 + 1\/21*c**3. Find t, given that v(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/(-6)*(149\/298 + 122\/(-20)). Solve -3*r - 43 = 4*t - b, 0 = 4*t + r + 23 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 48*a**2 - a + 1. Let j be l(1). Suppose j - 264 = -6*w. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddsdsdididsddidsi. What is prob of sequence dsis?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5340621 divided by 4\nAnswer: -5340621\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40383 - -58090. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-2) + 1 + 0. Let n(w) = -4*w - 1. What is n(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 9) in base 8?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -8 - 5 - -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1919500 and 41800.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 46287 + 46286, -2*u - 7*k + 29 = -2*k for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228\/20 - (-10)\/(-25).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-9)*(l\/(l**(7\/3)\/l))\/l*(l**(4\/7)*l)**(-5))**(-1\/5) assuming l is positive.\nAnswer: l**(-17\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6438 divided by -222?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/6 and 102\/408 + (-1 - (-49)\/(-228)).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1480 and 6?\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3154 + -3154.0002846. What is m rounded to five decimal places?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + 78.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**28)\/(c**8*c)*c*c\/(c*c**(2\/3))*(c\/(c\/((c**(-23)\/c)\/c*c)))\/c assuming c is positive.\nAnswer: c**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 47 = 4*t - 26, 3*j - 259*t + 517*t = 261*t - 57 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13717049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2634692 and 3610.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i + 178 + 128 = 0 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 5, o: 7}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 + 69. Let f be 3 + (0 + 4)*(-10)\/q. Suppose f*y = -195 + 635. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74 and 19129?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.67 (b) -0.2 (c) 0.3 (d) 9027\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*t + 5*t. Suppose 5*s + 9 = t*o + 63, -2*s + o = -22. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*f - 2*y - 16 = 93*f, 5*f = 9*y - 82650 + 82722 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135708804 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.3 + 14. Is r bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 10752*r + 53774. Determine f(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -160 + 165. Let x(u) = -u - 3. Let h(g) = -1. Let z(a) = j*h(a) - x(a). Let f = -1 + 4. Give z(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 4*o**2 + 9*o**2 + o**2 - 4 + 3*o**2 - 5*o**2.\nAnswer: 4*o**2 + 4*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 plus 2199404963.5?\nAnswer: 2199404965.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**3*y**2 + 357323*h**3*y + 9171*h*y**3 wrt y.\nAnswer: -4*h**3 + 55026*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 a factor of 45050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -86773*k**6 - 21*k**2 - 173.\nAnswer: -10412760*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 0.0921?\nAnswer: 0.0921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4188 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 7*r - 24*r = 192 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00041043 rounded to 5 decimal places?\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + a5?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -31091546?\nAnswer: -155457730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - -252. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4 = -0. Let j = a - 2. Let d be 6\/(30\/8 + -3). Solve -4 = -j*c + c, -3*c - d = 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 21, -1, -2\/3, 11?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 157.8 - 185. Let r = x - -27. Which is the closest to -2? (a) r (b) -6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2073838 or -2073840?\nAnswer: -2073838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.059 + 60824909.\nAnswer: 60824911.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/227 + 890\/2043. Sort o, 2\/5, -2 in descending order.\nAnswer: o, 2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*x - 2*x. Suppose -2*s - 4 = x, 3*c + 255393 = 4*s - 230599. Round c to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (32 + 9)) + -5 + (-7 - -27).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, y: 4, i: 2, s: 2, a: 6, h: 1}. Give prob of picking 3 y and 1 s.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 49. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-1\/5)*k)\/k*k*k*k*k**(-2) assuming k is positive.\nAnswer: k**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 4.5, -2, 5, 253 in ascending order.\nAnswer: -2, -2\/3, 4.5, 5, 253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4235.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -251330?\nAnswer: -21\/251330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6201742*q + 0*q**2 - 2*q**2 - 6201742*q - 3*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 5:37 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 100\/3*b + 1250\/3 + 2\/3*b**2 = 0.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 231\/(-33) + (1 - (-372)\/40 - 3)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1104945?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.989 + -10.011. Put t, 2, -0.12 in ascending order.\nAnswer: t, -0.12, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 249 - 95. Calculate the greatest common factor of z and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 157 + 226*i**2 - 157 + 206*i**2 to s*i**2 + u*i + c and give s.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 28195.232 rounded to the nearest one hundred?\nAnswer: 28200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 3 = 11*g. Let 2\/5*b - 1\/5*b**g - 1\/5 = 0. Calculate b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138395 and 483715?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r - 9681939 - 14748061. Round r to the nearest 100000.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fwf when three letters picked without replacement from {f: 2, w: 1, l: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 5367 = -111. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/40 and -44\/25.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeweecclwewceecc.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 55617527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 5*b**2 - 6*b**2)*(-169 + 169 + 15*b**2).\nAnswer: -180*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 4:56 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78076313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -365309.113 - -374440.8. Let a = 9128 - o. Round a to 1 dp.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 6:03 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 - 4*j - 2. Let q be -34*4\/(-40) + 42\/70. Suppose -q*h - 196 = -184. Let o(s) = 3*s**2 + 8*s + 4. Give h*o(n) - 5*l(n).\nAnswer: n**2 - 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 7. Suppose -5*p - 2*p = -105. Suppose -8*k = -13*k + p. Calculate the remainder when o is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 133.405 + -133.305. Let j = 0.3 + -0.5. Which is the closest to j? (a) -4 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-680)\/30 - (-3)\/(-2) and -85\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1410.5 to the nearest ten.\nAnswer: -1410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.308 - 50.692. What is the second biggest value in u, 0.1, 4\/5, -2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**(-3\/10)))\/n)\/n**(-1\/4))\/((n**9*n*n)\/n**(-6\/5)) assuming n is positive.\nAnswer: n**(-253\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**3 - 4*n. Let i(q) = q**3 - q. Let w(g) = g**2 - 6*g + 6. Let l be w(5). Let a = 5 - l. Calculate a*i(v) - u(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/180 and -53\/120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 471647 times -0.3\nAnswer: -141494.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4 - 3 - 2 - 26*b - 24*b. Is v(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 2:34 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40193\/60 - 3404\/5. Calculate the common denominator of -1*(-29)\/(-9)*(-90)\/(-36) and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*((1 + sqrt(2299))*5 - (sqrt(2299) - -6*sqrt(2299)*2)))**2.\nAnswer: -22000*sqrt(19) + 3679025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -12460651238?\nAnswer: -12460651238.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, c: 9}. What is prob of picking 2 c and 1 f?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 4*u**2 + 2*u + 3. Let g be y(-3). Suppose -g = -3*j + 6. Let h be ((-12)\/9)\/(j\/6). What is the biggest value in -1\/2, 1\/3, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19148, 76573, 172272, 306239, 478468?\nAnswer: 688953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59482 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473536373?\nAnswer: 19, 24922967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 3 (b) -1\/2 (c) -0.2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 702 and 450.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 314113 * 6.\nAnswer: 1884678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 h, and 1 u when three letters picked without replacement from {h: 1, e: 1, u: 1, p: 2, v: 4}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a - 1. Let m be (6 - 4) + (-1 - 0). Let q be t(m). Differentiate q + g**2 - 3*g**2 - 2 wrt g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 12 = -5*m + 33, 2*m - 14 = 4*o. Let t be 2\/7 - 12\/(-7). Suppose -9 = -4*w + 11. Solve -m = w*x - f, -t = x + x + 2*f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -110011100?\nAnswer: -110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-2000)\/(-20))\/(-25) + -38\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 246?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -360*d + 1. Let y(x) = 359*x - 1. Let f(q) = -7*n(q) - 6*y(q). Is f(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (-46)\/(-14) - 32246\/(-161). Is 200 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 741121094 to the nearest integer?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 761 + 759. Is w a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y**4 + 0*y**4 + 0*y**4)*(1 - 2 + 0) - 19884*y + 19884*y + 3*y**3 - 21*y**4 to c*y**3 + d + a*y**2 + q*y**4 + n*y and give q.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -135\/2 in 2\/13, -1, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20812, -20810, -20808, -20806?\n\"Answer: 2*k - 20814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10737.\nAnswer: 3, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 10:27 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 3. Find the first derivative of -2 + 4 - h*w - 3 - 1 wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*n + 5*n - 489, 5*i - 397 = -4*n. Let x = -42 - -76. What is the remainder when n is divided by x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -146\/11? (a) -5 (b) 160 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 9*h**2 + 2. Let v(i) = 55*i**2 - 12*i + 31. Let b(t) = 6*k(t) - v(t). Determine b(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 12:02 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 69383676055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/5)\/2)\/(46 + (-8702)\/190).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 7\/11, -152, -6\/143?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73690310 to the power of 1\/4, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 328 and (205\/(-123))\/((-10)\/96)?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*(z**(-2\/15)\/z*z)\/z)*z)\/(z*z**(-2\/7)\/z)*(z**1)**(-36)*((z**0\/z)\/z)**(-1\/5)\/((z*z**(3\/5)*z)\/(z*z**(-5)\/z)) assuming z is positive.\nAnswer: z**(-4282\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 9*g - 4. Let j be z(8). Let p be 0\/j + 6*1. Suppose k = 4*u - 21, 4*u - p = 5*u + 2*k. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5482936718+-0.0582\nAnswer: -5482936718.0582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-19)\/p*p**(-1\/42))\/(p**42\/p**(2\/147)) assuming p is positive.\nAnswer: p**(-6077\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2311 (base 7) in base 8?\nAnswer: -1511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 543800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + -3*(0 + sqrt(108)))**2 + (sqrt(2904) - (sqrt(2904) + 3*sqrt(2904) + sqrt(2904)))\/(-6*sqrt(32)\/sqrt(4)).\nAnswer: -302*sqrt(3)\/3 + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2 - 5. Suppose 5*o = 17 + w. Suppose -o*v - 3*p + 11 = 0, v + 3*p = -7 + 3. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 224\/21*(-351)\/(-36). Sort 3, 21, v in decreasing order.\nAnswer: v, 21, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000039343927 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2243 = -22*g + 27*g, -5*g = -5*x - 2225. Solve -g*c + 450*c + 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**4 + 7130926 + 5*v**2 - 7130927 + 2*v - 38*v**3 - 2*v**4 as l + w*v + z*v**3 + q*v**4 + o*v**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 4*y + 28, 2*f - 3*y - 6 - 5 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 964166111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -34241052?\nAnswer: 34241055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5)\/(-45) + 684600\/108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40498.\nAnswer: 2, 20249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 2\/17, 3, 297?\nAnswer: 297","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 - 7*l - 5. Let a(o) = -o**2 + 1. Let q(x) = -3*a(x) + j(x). Let s be q(9). Suppose 7*i + 327 = s*i. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-3 - -2 - -5) + -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d\/(d\/(d**(-3\/4)*d))*d**(2\/3))\/(d\/((d\/d**(2\/31))\/d)*d*d**(-2\/11)))**(-48))**(2\/3) assuming d is positive.\nAnswer: d**(-33848\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.59, -3, 2154 in ascending order.\nAnswer: -3, -0.4, 0.59, 2154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*s - 12 = 0, -5*d - 5 + 21 = -4*s. Factor -110*a**2 + 5*a**d + 110*a**2.\nAnswer: 5*a**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*z - 0*z. Calculate the lowest common multiple of 7 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from sfgssgksggskfgkfssf?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.055, 6.47, -34, 1\/7 in descending order.\nAnswer: 6.47, 1\/7, 0.055, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 51*m**3 + 9 + 15 - 24.\nAnswer: -51*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -26?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 4)\/(20\/15). Solve p - 17 = -o*h, 5 = h + p - 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8\/5*j - 4\/5*j**3 + 2\/5*j**4 - 6\/5*j**2 + 8\/5 = 0. What is j?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 30202332132?\nAnswer: 30202332123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1 + 2 = 3*c, 0 = 3*c - 2*u + 2. Suppose -j + 0*j + 3 = c. Suppose a = j*a - 36. Calculate the remainder when 53 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + b**2 + 2 + 1 + (3 - 3 + 2*b)*(3*b + 8 - 8) - 4*b**2 - 2*b**2 + 5*b**2 to the form l*b**2 + f*b + m and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1769169 + -1068\nAnswer: -1770237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 27 = -33. Let c be a - (-5 + 6\/2). Factor c*b**2 + 2\/3*b**4 + 4\/3*b**3 - 2\/3 - 4\/3*b.\nAnswer: 2*(b - 1)*(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3360 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 15 = -3*x + 32, -3*r + 3*x - 9 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*p**2\/9 - 142*p\/3 - 106\/9.\nAnswer: -2*(p + 53)*(4*p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*2 + (-26)\/(-2). Let i(r) = -r**2 - 8*r - 7. Let t be i(-6). What is the greatest common factor of t and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3336 and 556.\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (259\/296)\/((-5)\/(-80))*6\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 422 * -65039.\nAnswer: -27446458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2195 - 2192. Let h = 0.3 - -0.1. Suppose -5*f - 2*w - 3*w = -5, w + 7 = -5*f. What is the nearest to -1 in h, f, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 963 and 8453?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 241715620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -49*q**6\/150 - 1113*q**5\/25 + 963*q**4\/10 - 414*q**3\/5 + 1397*q**2. Solve j(m) = 0.\nAnswer: -69, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4507987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 8*m**2 + 12*m - 2. Let d be w(8). Suppose 0 = -4*l + 5*j + d, 3*l = j + 67 + 9. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*p - 76*p = 0. Is -44\/41 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -5. Suppose r = z*r - 30. Let k = r - 7. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-339156)\/(-14) - ((-288)\/(-56))\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2511*h**2*t**3 - 2*h**2*t**2 + 71127*h**2*t + 85*h*t**3 + 4*t**3 + 5*t**2 wrt t?\nAnswer: -15066*h**2 + 510*h + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 17*z**3\/3 + z**2\/2 - 2*z + 7. What is the remainder when o(3) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 7. Let m(s) = -3 + 2 - 4*s + k. Let d(o) = 2*o**2. Give d(m(w)).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 11, 26, 37, 38?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*(-2)\/(-256) + 595\/40.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*y + 23 - 23)*((-1 - 3 - 1)*(2*y - 4*y + y) - y - 2*y + 5*y).\nAnswer: -119*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - a)*(a + 2*a + 3*a) - 8 - 23*a**2 + 30*a**2 - 23*a**2 + 2*a**2 + a**2 - 2*a**2 + 4*a as i*a**2 + h*a + y and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/36693 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8413848 to the nearest integer?\nAnswer: 2901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**4\/5 - 22*d**3 + 108*d**2\/5 = 0?\nAnswer: 0, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6075\/9614 + -14\/1311. Find the common denominator of 95\/24 and v.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -129.405 and 0.063357?\nAnswer: 129.468357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one halves of a year?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2 + -2 + sqrt(2880) - (5 + sqrt(2880)*2)) + 3)**2.\nAnswer: 192*sqrt(5) + 2896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 7 + 13 = 0, -2*a = w - 34. Calculate the least common multiple of 285 and w.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + o**2 - 2*o + 9. Let n be x(0). Solve 0 = -i + 4*b + 10, 3*i + 0 + n = -b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-3)\/9)\/(18\/27)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-4))\/n)**(-7) assuming n is positive.\nAnswer: n**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 553 - 192. Find the common denominator of 145\/18 and f\/60 - (-2)\/5.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 - 30 = -15*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -1 - (-3385 + 3451).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*k = -85*k + 333 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 28*t**2 - 93*t + 79. What is m(-6)?\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5 + 4 = 0. Let y = -3 + i. Suppose y + 5 = c. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-2076)\/228 + 2\/19?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67415b (base 14) to base 7.\nAnswer: -41544544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19940694103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -5, -11, -19, -29, -41?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -4. Let s = v + 8. Which is the nearest to 0? (a) 2\/15 (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = o + 3 + 2, 5*o + 44206 = 5*b + 44196 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 8*p - 2. Let o be j(-8). Let f be (-2 - (0 + o)) + 2. Suppose 0 = -f*g - 4*u + 8, 0*u - 7 = -3*g - u. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62941 + 62941 + 3*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6947744, -6947778, -6947812?\n\"Answer: -34*b - 6947710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 + 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 31089*z - 13. What is i(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 2, -22, 0.1?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-240)\/16 + 19 + 0 + 42\/(-10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -537872\nAnswer: -1\/268936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3384516 is divided by 6459.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - 0.1. Do 0.08 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-8\/9)*((s\/(s\/(s**(2\/9)*s)))\/s)\/s*s**18*s\/s**26 assuming s is positive.\nAnswer: s**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/775440 and 149\/710820?\nAnswer: 8529840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 792, 2929, 7170, 14217, 24772, 39537?\nAnswer: 59214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 830483*y**4 - 802193*y**2?\nAnswer: 19931592*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 97055.\nAnswer: 38822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqaq when four letters picked without replacement from qqaaamqmtammaqaama.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 40 = -3*f + 5*f, 4*a - 12*f + 3 = 107 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -149\/4. Let c be 95\/570*5*9. What is the closest to o in c, 3\/2, 5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 3. Suppose -5*l + 3*l + 14 = m*r, 2*l = -6. Let o be 3\/(-3)*r\/(-2). Sort o, -1, 3 in increasing order.\nAnswer: -1, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b. Let x(g) = 0*g + 12*g - 6*g + 105*g. Calculate c(x(k)).\nAnswer: 333*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -32.\nAnswer: -5\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**4 - 20*o**3\/3 + 8. Find m, given that t(m) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -930017115503 and 2.\nAnswer: -930017115501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*x + 7128 = -19*x. Let w = x + -206. Solve -12*d + w = -7*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 12:42 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v. Let t be x(1). Solve 9 = -t*g - 0*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -23. Let w(b) = -5 + 2 - b + 4. What is w(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 2554*q + 12772. Calculate r(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 30533441, 30533440, 30533439, 30533438, 30533437, 30533436?\n\"Answer: -i + 30533442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*i*r**3 - 2*i*r**2 - 55*r**3 + 5553*r**2 wrt r.\nAnswer: 30*i - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*q - q - 6*q)*(-q**2 + 5*q**2 - 2*q**2)*(-2 + 0 + 6) - 2*q**3 - q**2 + q**2 to the form m + g*q**3 + z*q**2 + h*q and give g.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 16*h**2 - 14*h + 14. Let t be s(-15). What is the closest to t in 1, -1, 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 137094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-7052.\nAnswer: 14104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 17 = 2*w, 3*h + 33 = -0*w - 3*w. Let b = w + 22. Suppose -v + b*v = 37500000. Round v to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 964, 968, 974, 982, 992?\nAnswer: 1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 348 - 242. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49\/27 - 1019\/108. Let d = 112264 - 2238381\/20. Let t = d - 350. Find the common denominator of f and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -8 - -7 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 b, and 2 j when four letters picked without replacement from {i: 1, m: 5, j: 5, b: 5, v: 3}?\nAnswer: 25\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*t + 88 = 257*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 1)*(-2 - 1 - 1)*(-9876 - 540*w**2 + 9876) as q*w**2 + p*w + h and give q.\nAnswer: -2160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-13)\/s)\/s**11)**(-21))**8 assuming s is positive.\nAnswer: s**4200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 265440652 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3356365463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 78*c + 227. Let v(g) = g**2 - 2*g + 15. Let t be v(-4). Is m(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 34*d - 41. List the prime factors of r(-19).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 111100000010?\nAnswer: 111011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 942.\nAnswer: 3768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 237751\/55575 + -3\/12350. Find the common denominator of 46\/21 and g.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 3. Suppose t + 3 + 6 = -f*i, -3*t = -i + 13. Let y be (-3)\/i + (4 - 4). Which is the second biggest value? (a) -1 (b) -0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 11*t + 6. Let p(o) = 9 - 13 - 5*o + 1. Let v(a) = 6*i(a) + 13*p(a). Let w(j) = -3*j + 9. Give -7*v(q) - 2*w(q).\nAnswer: -q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -4*c + 115. Suppose 3*p - c = -2*p. Calculate the remainder when 22 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 5400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -283 + 279. Let a(k) = -20*k**2 + 5*k. Let d(q) = 7*q**2 - 2*q. Calculate x*a(b) - 11*d(b).\nAnswer: 3*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70306*m + 136799*m - 66495*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*q = -3*q - 4, 0 = -4*l + 2*q + 12. Factor -70*n + 33*n + 2*n**l + n**3 + 38*n.\nAnswer: n*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*t + 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tsst when four letters picked without replacement from ttttstss?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24347 - 24281. What is the highest common factor of 402 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 97913.06g?\nAnswer: 97913060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**4 - 44670*v**3 - 99904365*v**2 - 598220640*v - 896728320.\nAnswer: -5*(v + 3)**2*(v + 4464)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2746351, -2746350, -2746349, -2746348, -2746347?\nAnswer: -2746346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7 - 1 - -7)*14*-6. Solve -8*v - 44 + b = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -16. Suppose -3*r = -2*r + a. Let t be 2\/((-32)\/12)*r. Solve 0 = -3*n + s - 7, -t*n + 0*n = s + 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/(n\/(n*n**1))*n)))\/n)**(-43)*(n**(3\/4)\/n)**(-2\/7) assuming n is positive.\nAnswer: n**(-1203\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, i: 4, g: 2}. Give prob of picking 1 g and 1 w.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 10*k = 0. Let i be 3\/10*(-8)\/(-6). Which is the closest to k? (a) 2 (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (41904720\/(-3048))\/110 - -125\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 9*n**2. Let z(r) = -8*r. Determine z(w(c)).\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*2.2.\nAnswer: 1.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.2, -2\/9, 2.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -828, -835, -842, -849?\n\"Answer: -7*j - 821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*l = -1305, 22*l + 5 = 21*l. Solve -5*d - m = 2*a - 262, -4*a - 2*d = 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 24 = 2*g + 19, -3*v = -15. Let j be (-21)\/g*(-68)\/(-6). Solve 0 = -5*o + 3*b + 17, -2*o - j - 1 = 5*b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/2)\/((-2)\/8). Suppose -w*t = -t - 39. Suppose t = 4*i - i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -6.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -570.7 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44672 and 601327.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 2583*h**4\/4 - 1559*h**3\/3 - 2815. What is the third derivative of m(c) wrt c?\nAnswer: 15498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(1\/14))**(-32))**(1\/56))**(-36) assuming l is positive.\nAnswer: l**(72\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 2*h)*(-2 - 3 + 1) + 1 - 3*h + 1 + h)*(-9 + 4*h - 4*h + 2*h**2).\nAnswer: -20*h**3 + 4*h**2 + 90*h - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*((-10)\/4 - -2). Let n(b) = q + b**2 + 0. Let g(w) = -3*w**2. What is n(g(t))?\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-223 - -251)*6\/21. Let d(y) = -y**3 + 8*y**2 - 17. Calculate d(j).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1525 + -1525. What is the closest to 5 in -5, m, -7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 6*n - 9.\nAnswer: 3*(n - 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -t + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/5*20\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**4\/24 - v**2. Let c(s) = 4*s - 2*s + 2*s - 2*s. Calculate g(c(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5946787854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*-1 + sqrt(180))*-5 - (1*sqrt(180)*6)**2)*-1*-3.\nAnswer: -19440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-214)\/107 + -6 + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k. Let j(w) = 5*w - 9. Let r(c) = 4*c - 8. Let y(m) = -3*j(m) + 2*r(m). Let o(n) = -4*p(n) - y(n). Differentiate o(x) with respect to x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 2.4. Let b = -4 - -3. Let v = b - -0.8. What is the smallest value in -1\/7, l, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 + 7*z**2 + 3*z + 4. Let u be w(-3). Suppose 5*v - v + j - 75 = 0, 2*v = -4*j + 20. Suppose 0 = -8*k + 3*k + v. Solve -u*r - k = -6*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184581227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(3\/(-2)))\/((-810)\/99 + 8)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/6 - 4)*-2. Let d = -1883 - -1910. Solve u*h = -4*y - d, -5*h - 6 = -3*y - 0*h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-312)\/520)\/((-12)\/(-25)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4547)\/((-10)\/(-3 - -1) - 6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -77303 in ascending order.\nAnswer: -77303, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4. Suppose -5*o + o - 16 = k. Suppose -4*q + 2*y + 20 = 5*y, q - 2*y = 5. Sort o, -1, q in increasing order.\nAnswer: o, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1745443*1046.\nAnswer: 182.5733378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f = -6*f - 95. Suppose -4*w + 1 = -f*o + 13, -2*w + 4 = -5*o. Let q(h) = -h**3 - 8*h**2 + 5*h + 3. Calculate q(w).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 676 (b) 2.391 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 386\/(-579)*(-63)\/(-24)*24*1\/9\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6b08b (base 12) to base 4\nAnswer: -203002223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2958, -2959, -2962, -2967?\n\"Answer: -v**2 + 2*v - 2959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, f: 9}. Give prob of sequence fa.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 144940026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152220, 152222, 152224?\nAnswer: 152226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/24)\/(2\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3 - 4*j - 2 + 23*j. Let a be w(8). Let x = 738\/5 - a. Is x at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 620 and 197720?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 7. Let z be w(0). Suppose z*j = j. Solve q + j - 4 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 20 = -5*o, -o - 4 = o - 2*n. Suppose o*z + 4 = 1. Sort 4, 3, z in ascending order.\nAnswer: z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 3*n. Let q be s(3). Suppose -v - 2 + 5 = q, -g - 2*v + 83 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 13*l**2 + 2*l + 38. Let q be v(-13). Solve -2*p - z + q = -0, 16 = 5*p - z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5025 + 4*d**2 - 5114 + 15173 - 5034.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 9*l**2 + 5*l - 3. Let u be 35\/(-21) + 2\/(-6). Let v(b) = -4*b**2 - 2*b + 1. What is u*w(x) - 5*v(x)?\nAnswer: 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11155 - -0.139267501\nAnswer: -11154.860732499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 175956 + -175950. Let q = -2 + 2. What is the nearest to q in -5, k, 28?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 17 - (2 - 5\/3)*-3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 - (5 + (-2 - -5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52.9 - 61. Let j = -1.8 + v. Round j to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z - 6. Let l be o(4). Suppose l*r - 6 = -b + 1, -4*b - 3*r + 18 = 0. Suppose 4*h - 4*u - 26 = -b*u, 0 = 5*h + 4*u - 43. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4598 - 4576.57. What is f rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/60)\/((-10)\/(-15))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6400973 by -26.\nAnswer: 6400973\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -571 - -1670\/3. Suppose -91 = 3*k + 5*t + 60, -5*k - 237 = t. What is the common denominator of k and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, a: 6, e: 2, k: 1, s: 2, y: 2}. What is prob of sequence eqey?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54452*d**2 - 130*d - 377?\nAnswer: 108904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f + 19*f + 5451 - 951 = -38*f for f.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*s - 3*s + 18 = 0, 4*f + 4*s = 16. Suppose -3*o = -f*q - 8, -q = -5*o - 3*q + 8. Let a be (-1 - -3) + 6\/2. Sort 4, a, o.\nAnswer: o, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 22 - 632*l**2 - 15 - 15.\nAnswer: -632*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3409 in -95, 4, 0.1?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 31376.62 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -1. Find the common denominator of ((-3)\/a)\/((-9)\/(-37)) and -27\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-7)\/(((p*p**8\/p)\/p)\/p))**11)**(3\/22) assuming p is positive.\nAnswer: p**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4 = -0. Suppose b*a + 1142 = 6*a - 2*r, 2*r - 1441 = -5*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 178440 by -6.\nAnswer: -29740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v - 76 - v + 74 - v - 3*v + v + (1 - 1 - 2)*(-2*v + 3*v + v) + 3*v - 4*v - 2*v as x*v + d and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**4 + 568*r**3 - 6388*r**2 - 42096*r + 105264 = 0 for r.\nAnswer: -6, 2, 17, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 x when four letters picked without replacement from cxxxxxxxc?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from rigdgfffdrfgdfdfd.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 6*h - 2*s + 8, -5*h - 15 = -s. Let t be (25\/(-2))\/(h\/4). Calculate the highest common divisor of t and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21706 by -2086.\nAnswer: 10853\/1043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 13. Which is bigger: -2 or h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - 10. Suppose 3*d = -119*i + 121*i + 843, -5*d = -5*i - 1410. Suppose 36*l - 27*l = -d. Is k > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3700.012 litres in millilitres?\nAnswer: 3700012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovviooaoaigogkkk. What is prob of sequence oa?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (354\/(-14) + 8\/28). Suppose 6*j + x = 7*j. What is the least common multiple of 9 and j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2255.2497us?\nAnswer: 0.000037587495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18822611785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ztkzkkkzt. What is prob of sequence zztk?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.237 + 0.063. Which is the second biggest value? (a) -4\/7 (b) 16\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -536.9925 - 142.0434. Let h = 679 + o. Round h to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 891985467 to the power of 1\/2, to the nearest integer?\nAnswer: 29866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*(o**(2\/25)*o)\/o*o)\/o)\/o)\/(o*o*o**(-22)\/o*o)*((o*(o*(o**29\/o)\/o)\/o)\/o)\/(o\/o**(1\/4)))**29 assuming o is positive.\nAnswer: o**(134357\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*15.596582.\nAnswer: 14.0369238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, -5, 2\/11, -1\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 185 - 149 + 3*y + 5*y + (-45 + 45 + 2*y)*(-2 + 2 + 1).\nAnswer: 10*y + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -0.3. Let i = 2\/12691 - 3832692\/63455. Let p = 60 + i. What is the second smallest value in a, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.5, 0.03, -28, -4, -9 in ascending order.\nAnswer: -28, -9, -4, -3, -0.5, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2 = -2. Suppose -51*l = -4*l - 235. Calculate the highest common divisor of l and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1457706.26492 - -1457666. Let y = u - -0.00492. Let v = y + 40. What is v rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1089\/7 + -156. What is the second biggest value in 1\/2, z, -2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 18*i**3 + 146*i**2 + 260*i + 52. Let a(k) = -19*k**3 - 145*k**2 - 260*k - 50. Let s(y) = -2*a(y) - 3*t(y). Solve s(v) = 0 for v.\nAnswer: -7, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 119 - 55)*((3 - 5 + 1)*(j - 2 + 2) - 1 - 3*j + 1 + j + j + 3*j) as r + v*j and give v.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000067156805 rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + (-69 - -21) - (-1 + 1 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/49047424 and 85\/24?\nAnswer: 147142272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 9*s**2 - s + 34. Calculate i(-9).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, t: 1, u: 2, e: 1, y: 1, g: 1}. What is prob of sequence tll?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 813385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 30 = -5*l, 2*i = 2*l + 94 - 106 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*a - 3*y + 10, -2*y = -2*a. Let m(h) = a*h + 2*h - h. Let r(t) = 70*t - 70*t + 14642*t**2 - 14644*t**2. Determine m(r(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 1426 = 278*q - 5198. What is the remainder when 1071 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 981*c = -978*c + 25, 26 = -4*l - 2*c for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27015 divided by 5?\nAnswer: 5403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3456 + 13819\/4. What is the third biggest value in -2, g, 1\/6, 0.7, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-70)\/77*(-40)\/(-275) and -9\/44.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 4005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhttthffftfthtftftt. What is prob of picking 3 f?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 721.654 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1656)\/(-6)*(-29)\/(-8700)*-25\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4\/i**(-3\/2))\/(i**3)**(-9\/5) assuming i is positive.\nAnswer: i**(109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 83818489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*sqrt(104) + 6*(2*sqrt(104) + sqrt(104)))\/(sqrt(48)\/(sqrt(6)*4) + (-4*sqrt(8) + sqrt(8))*6).\nAnswer: 8*sqrt(13)\/71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 divided by -33?\nAnswer: 157\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -433*k + 543*k + 1650 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + ((sqrt(75) + sqrt(75)*-1 + sqrt(75))\/sqrt(5) + sqrt(15))\/(sqrt(5) + sqrt(180)*1 + sqrt(5)).\nAnswer: sqrt(3)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - b - 4*b)*(b**2 - 2*b**2 + 3*b**2) + 1 - 8*b**3 - 4*b**3 + 5*b**3.\nAnswer: -11*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16800\/147)\/(-25))\/(68\/238).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*j - o, 2*j + 10 = 4*o - 8*o. Let s = j + 15. Find the second derivative of 16 - s + 24*m - 15*m**5 wrt m.\nAnswer: -300*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**3 + 4*f - 47*f**3 + 0*f + 5471 - 5471.\nAnswer: -53*f**3 + 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*u - u + 4, 5*t + 5 = 2*u. Suppose -120*h - 8 = -143 - 225. Solve -2*p + 2*x + 2 = 0, u*x = x + h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92 divided by 3129.\nAnswer: 92\/3129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3 - 50578917*a**2 + 101157843*a - 50578923 = 0. Calculate a.\nAnswer: -16859641, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 - 66.2. Let m = -1.8 + w. What is the closest to m in 0.2, -0.3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/21)*f**(-2\/57)*(f**21*f)\/f*f**(-2) assuming f is positive.\nAnswer: f**(2516\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 144?\nAnswer: -143.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 2\/19 (c) 17 (d) 0.43 (e) 0.1 (f) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - 15 - -62 - 50.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 101510564761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 1:06 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 8*l**2 + 5*l + 2. Suppose 3*v = -7 - 14. Let j be m(v). Let q be (9 + -1 + 0)*16. What is the greatest common factor of q and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690*k - 1818*k = 1854*k + 399*k - 3381 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 3*l + 4. Let f be n(-2). Let t(s) = s**3 + 8*s**2 + 8*s. Let w(j) = 74*j - 288. Calculate the remainder when w(5) is divided by t(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-65 - 184*m + 29 + 36)*(-4 - 3 + 1)*(3*m - 25*m**2 - 3*m) in the form p*m**2 + l*m + y*m**3 + z and give y.\nAnswer: -27600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (10 + -8 + 3 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.9*-5\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*v**5 - 170*v**5 - 73*v**5 + 45*v**5 - 123*v - 23*v**5 wrt v?\nAnswer: -5140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1060 + -1784. Let k = i + 1364. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k**4 - 7444*k**3 + 1517382*k**2 + 505367424*k + 15869315232 = 0. What is k?\nAnswer: -436\/3, -36, 711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h. Let c(s) be the second derivative of -s**4\/12 - 5*s**3\/6 - 5*s**2\/2 + 4*s. Let i(b) = -b - 1. Let y(r) = -c(r) + 5*i(r). Determine a(y(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 - 13*i - 20. Let v be y(8). Let t be (-182)\/(-70) + v*(-3)\/(-30). Solve -k = 1 + t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24987557 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191 - 578 = 129*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 5 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 - 55. Let s = 13 - v. Which is bigger: s or 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**2 + n. Let u be (3\/(9\/(-3)))\/1. Let q = -23 - -22. Let m be ((0 - q) + 0)\/u. Determine r(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39263*r + 39229*r = -612 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1625146855 from 65893.\nAnswer: -1625080962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138872 is divided by 180.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 18*s**2 + 11*s + 17. Let r be q(15). Let i = r + 209. Round i to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1079894049?\nAnswer: 3, 13, 89, 421, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2*12\/(-4))\/(((-2)\/(-24))\/((-256)\/576))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 15. What is w(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*l = 142*l - 28 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 850829036 and 0.1.\nAnswer: 850829036.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/98 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 232410 + -4100342?\nAnswer: -3312432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17550 + 1?\nAnswer: 17551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35*((-32)\/20 + 2) - 3520320\/(-250900).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48019*x - 42048 = 45391*x for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1b8a4a (base 16) to base 8\nAnswer: 6705112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 11778?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6330020.\nAnswer: 2, 5, 316501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -163868.5\nAnswer: 81934.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9379529711?\nAnswer: 29, 37, 607, 14401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-2))\/(2\/2)*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**1)**43*(a**0*a)**31*((((a*a**(-1\/2)\/a)\/a)\/a*a)\/a**(-7\/4))\/(a**(-7)\/(a*a**(-5\/2)*a)) assuming a is positive.\nAnswer: a**(151\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*h, 61*r - 3 = 60*r + 6*h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1 = 2*r + 3*r, 3*d - r + 11 = 0. Let y be (4\/(-8))\/((-1)\/(-6)). Is d smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.095 + 0.195. Let g = 7\/2 + -2. Which is smaller: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-8 - -31) + 0 + -25 - 43?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21922*s**2 - 218*s*v - 71*v + 77186 wrt s.\nAnswer: 43844*s - 218*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2. Let q(d) be the second derivative of 4*d**3\/3 + 7*d. Determine r(q(h)).\nAnswer: -128*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 371560994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -86713*c**3 + 4*c**2 + 97668*c**3 + 2*c**2 - 4*c**2 as v + k*c + s*c**2 + w*c**3 and give w.\nAnswer: 10955","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 34 - 10*s)*(-4*s + 4*s - s) - 2*s**2 + s**2 - s**2 + (-7*s + s + 4*s)*(s - 1 + 1) + 0*s**2 + s**2 - 2*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 2\/63 (c) 8 (d) 8480\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2824?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (7\/7)\/(12 - -1) + (-93126)\/1519232\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119118760 - 3.332.\nAnswer: -119118763.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4466069 to the nearest integer?\nAnswer: 2113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + -2 + -1 + (sqrt(1872) + -1)*-3 + 2*sqrt(1872) + -2 + 2.\nAnswer: -12*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c - 81 = -2*j, 2*c - 4*j = -54. Round c to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -5\/6*z**3 + 0*z**4 + 90 + 0*z**6 - 2*z**2 - z + 11\/10*z**5 - 1\/21*z**7. What is the second derivative of b(s) wrt s?\nAnswer: -40*s**3 + 132*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = 2*q. Let c(m) = -4*m. Suppose -133*a + 60 + 7 = -66*a. Let j(i) be the second derivative of i**2\/2 + i. Determine a*j(y) + q*c(y).\nAnswer: 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3242 - 3210. What is the highest common factor of 304 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3 - 8. Suppose m*w = -f - 1, 2 = w + 3. Solve 5*t - 5 = -2*b - 0*b, f*t - 6 = -2*b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3 - 2*q + 6 - 66*q**3 - 4*q**2 - 8. What is the tens digit of f(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 5 + 4)*(-s + 4*s - 2*s) + 12*s + s + s)*(-s + 3*s - 3*s) to the form x*s**2 + d*s + g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 11 = x, -5*t - 8 = 27*x - 23*x. What is the third derivative of 4 - 2*a**2 + 417*a**x - 3 - 270*a**3 wrt a?\nAnswer: 882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/(-2*sqrt(512)))\/(sqrt(396)\/(sqrt(55)\/sqrt(5))).\nAnswer: -sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 + -0.94. Let i = 0.4 + 0. Let w = i - 0.6. What is the third smallest value in 0.2, r, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/21 - 68\/102.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/sqrt(144) - -3*sqrt(39)\/sqrt(3).\nAnswer: 13*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -667, -659, -651, -643?\nAnswer: -635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41.2 in 4, -1\/4, -0.1, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/3)*f)**32*(f*(f**(-1)*f)\/f)**34 assuming f is positive.\nAnswer: f**(160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 2:19 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20889222.0053337268 - -20889222. Let q = w + -59.9946691732. Let j = q - -60. Round j to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/4 + (-2)\/2. Determine l so that 0*l**3 - l**2 - l**4 + l**3 + 2*l**x - l**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -0.6. Which is bigger: -0.3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1760535409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**5\/4 - 63*j**4 - 255*j**3\/4.\nAnswer: 3*j**3*(j - 85)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + n + 1. Let s(v) = 4*v**3 + 5*v**2 + 5*v - 14. Determine 5*j(q) - s(q).\nAnswer: -4*q**3 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26581 and 4161?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.9675 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1487 - 1486.6. Which is the closest to -1\/2? (a) 8 (b) 2\/3 (c) g (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/(m\/(m\/(m\/(m*m\/m**(-20))))*m)*m**2 assuming m is positive.\nAnswer: m**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**2\/5 - 1527602*v\/5 + 3055212\/5 = 0.\nAnswer: -763803, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 1 = -4*i, 0 = j + 5*i + 4. Let v = -1.1 - 2.9. Which is the second smallest value? (a) v (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -91.885876 + 17.885798. Let j = 74 + s. What is j rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxinokk. Give prob of sequence ooo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*s - 26*s - 381. Let i = -63 + s. Suppose -k - i = -3*k. 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 -17 + 5 + 11 + 1 + -4 + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 576 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 1. Let o = 591 + -590. Let m(u) = -2*u**2 + 3*u - 4. Determine o*m(x) + 5*h(x).\nAnswer: 3*x**2 + 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 0.1?\nAnswer: 6.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00279 to 4 dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 1, 0, -3, -178 in descending order.\nAnswer: 4, 3, 1, 0, -3, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1213 + 10001?\nAnswer: 11220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -17*d - 1. Suppose 337 = d*z - 1158. What is the remainder when z is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/20)\/(44\/6600*-20)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 3*p + 8 = 0, -4*p - 24 = -3*g - 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2418*a**3*t**3 + 3272*a**3 + 378*a*t**2 + a*t + 5*t**3 + 7*t**2 - t wrt a?\nAnswer: -14508*a*t**3 + 19632*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 71c + e?\nAnswer: 72b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 454 - 432. Let y = 3 - 3. Suppose -3*b + 2*b + 4*z = -62, 2*b + 3*z - 69 = y. What is the remainder when b is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = 1395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2012*o**4 + 185*o**5 + 2012*o**4 + (3*o**2 - 3*o**2 - 2 + 2*o**2)*(-4*o**2 + 2*o**3 + 4*o**2).\nAnswer: 189*o**5 - 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4820969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1035 + 950 + 13*l - 1985.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 836791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3706 a factor of 935506526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(88\/(-40) + 2\/10). Suppose 64 = 14*a + u*a. Solve -a*d - 16 = -0*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + g. Let r(h) = 5*h**2 - h - 411. Let j(o) = -3*o**2 + 224. Let v(c) = -11*j(c) - 6*r(c). Calculate -v(t) + 6*z(t).\nAnswer: -9*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6 = -0. Let n = i + -2. Let s(g) = -g + 7. List the prime factors of s(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 563 - 1703\/3. Find the common denominator of -43\/10 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 96 = -v, 3*i + 0*v + 3*v = 96. Let p = 31 - 28. Let k = i + p. Calculate the remainder when k is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + g + 4)*(2*g - g + g)*(4*g - 3*g - 9*g).\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/14464 and 71\/8576?\nAnswer: 969088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9730347nm in meters?\nAnswer: 0.0000000009730347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 10:22 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 832*a - 212*a + 203*a + (0*a - 2*a + 3*a)*(0 + 2 - 1) to l*a + w and give l.\nAnswer: 824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9597, 38433, 86485, 153747, 240213?\nAnswer: 345877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyytytytyyyyyytyt. Give prob of sequence ty.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 10) in base 2?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 387 - 347. Suppose -53*u = -z*u - 135109. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b + 5. Let t(n) = -10*n + 16. Give -2*t(w) + 7*x(w).\nAnswer: -w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4173 + 4173. Solve j = -5*o - 4*c - 1 + 6, 5*o - 45 = 4*c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102672 divided by 496?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 20*j**2 + 31*j - 166. Let c be a(19). Solve 0 = -c*u + 785*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 0.07, 1\/4, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(662 + 547 - t - 371)*(-3 - 1 + 5).\nAnswer: t - 838","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/11, 0.1, -4\/7, -2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 12:49 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -74, -4750, 6 in descending order.\nAnswer: 6, 4, 1, -74, -4750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (-1 - 3))*1. Find the first derivative of -6*o - h*o - 3 + 11*o wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 2 (b) -31733 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f - 2. Let s be (-6)\/(-21) + 12\/7. Let r(a) = 0 - s*a - 1 + 3 - a. What is -5*k(p) - 6*r(p)?\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/2)*h\/(h\/(h**(-1\/5)\/h)))\/(h**0*((h**4\/h*h)\/h)\/h))\/((h**(2\/7)*h)**(-1\/18))**38 assuming h is positive.\nAnswer: h**(1\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 37183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 593 divide 15913509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 15*v + 6. Let j be u(-6). Let p = 121 + j. Suppose 2*d - b = 33, 3*d - 3*b - p = -4*b. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 2. Let i be y\/1 + 48\/15. Are 1 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29769 + -29750. Solve t + 1 = -u, -2*t + 5*u - n = -52 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*h - 5180 = -49*h. Let v = h + -435. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (-8 + 8))\/(-1)*66. Let w = 501 + -347. What is the highest common divisor of w and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1240*i**2 + 1229*i**2 - 18 - 7 as d*i**2 + y + t*i and give y.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 36 = 4. Let h = c + 42. Suppose 2*r = h, -4*r = -i + 2*i - 6. Solve -3*d - 1 = i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 27 + 37. Suppose 2*t = 7*t. Suppose m - 3*v = 0, t*m = -m - 5*v + f. What are the prime factors of m?\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 8 and 1016?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 148853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -92, -266, -522, -854, -1256, -1722, -2246?\n\"Answer: z**3 - 47*z**2 - 40*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.046 + 0.046. Let k = 9 - 9.22. Let j = k + -0.08. What is the nearest to l in j, -3, 1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of z**4\/4 + z**3\/12 - z**2\/2 - z\/4 + 3. Solve b(n) = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4408*r**3 + 515*r**3 - 363*r**3.\nAnswer: -4256*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3 + (-4)\/(-12). Suppose u = -q + 3. Suppose -5*i = -q*w - 95, -2*i - 2*w = i - 57. What is the highest common factor of 57 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103689097 to the nearest integer?\nAnswer: 10183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1250.7 - -1251. What is the fourth smallest value in -4, -1\/6, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 15 = 0, -5*v - 4 = -4*k - 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from ammmtahtot?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 971, 2\/23, 2.66 in descending order.\nAnswer: 971, 2.66, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*z + 250 = 100*z. Solve 3*n - z*i = -21, 0 = -5*n - 5*i + i + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 476\/705 + -2\/235. Which is the closest to 1? (a) -2\/5 (b) 0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -793699441\/4914 + 161518. Calculate the common denominator of j and 1\/1404.\nAnswer: 9828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d - -6773?\nAnswer: 6765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7ca (base 15) to base 4\nAnswer: 123211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 - b**2 + b - 1. Let p(l) = -341*l**3 - 3*l**2 + 5*l - 3. What is -p(t) + 3*x(t)?\nAnswer: 347*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11240545 + 4?\nAnswer: -11240541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - b**2 - b. Let u be s(1). Let j be 5\/2 + 2\/(-4). Does 10 divide (21 - 3) + u + j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2961598 (base 10) to base 14.\nAnswer: 57142a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3042427368 to the nearest integer?\nAnswer: 1449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 - 63*y + 34. Let l be i(31). Suppose -2*p = 3*p - 340. Let j be p\/20 - l\/(-5). Solve j*a + 4 = 0, 4*a - 8 - 8 = 4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 210733603?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.92 + 5. Let q = i - 0.38. What is the third smallest value in 0.4, -3, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, s: 3, q: 2, u: 1, p: 3, w: 3}. Give prob of sequence us.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x. Let i be 63\/14*4 - (-1 + 2). Suppose 11*u - 6 = i*u. Suppose 4*c - 12 = -3*v, -5*c - 4*v = -19 + 5. Let l(f) = -5*f + 3. What is c*b(q) + u*l(q)?\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9361.\nAnswer: 11, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 8*k - 23 - 20*k + 23.\nAnswer: -4*k*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/4921 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 2, u: 6, j: 4}. Give prob of picking 2 w.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110677232?\nAnswer: 2, 6917327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4857683109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 + 0)*(2*r - 2*r + 10*r) - r + 5*r - 5*r + (2 + 1 - 1)*(2*r - 3 + 3)*(1 - 6 + 4) to the form s + h*r and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3866276, 15465097, 34796466, 61860383?\n\"Answer: 3866274*x**2 - x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229, 219, 207, 193, 177?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 54, 64, 76, 90, 106, 124?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 8:34 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48260 - 0.2512.\nAnswer: 48259.7488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/(-57))\/((-1)\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.627167 - 18.642. What is r rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 272 and 3077.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36 and 0.087441.\nAnswer: -3.147876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -118a + 68?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 902 + 3763 = 5*c. Calculate the remainder when c is divided by 104.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 8*j**2 + 8*j + 12. Let l be d(9). Let g(q) = -3 + l*q + 2*q - q. What is the remainder when 9 is divided by g(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37970.\nAnswer: 2, 5, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -27*u + 3. Let h be i(-11). Let d = h - 130. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65b575 (base 15) to base 12.\nAnswer: -175949b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l + 4874 = 5004 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*j + 2*j - 23*j to the form b + w*j and give w.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 479293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 115*d**2 + d - 2. Suppose -6*s - 5 = -11*s. What are the prime factors of w(s)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (192\/(-320))\/((-18)\/(-100))\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 524773*a - 237259 with respect to a.\nAnswer: 524773","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 1 - 8*j - 4 + 0. Let z(b) = -b - 1. Let x(d) = k(d) - 6*z(d). Let i be x(2). Let t(h) = -6*h**3 + h**2 - 1. What is t(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/1606050 and 97\/63726.\nAnswer: 396694350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -18*n - n + 5 + 9*n - n**2. Let f = -11 + 2. List the prime factors of g(f).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -187.24 * -1812.\nAnswer: 339278.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.872 to 1 decimal place.\nAnswer: 8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 28, -1, 3.04?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/198 and 137\/2556?\nAnswer: 28116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-33)\/12 + 12\/8\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2697 is divided by 270.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 42\/(-35)*(-405)\/(-72)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 29, -1\/6, -1, -5?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 0.2. Let b = -0.5 - j. Let l = 63 - 63. Sort l, b, -0.5 in decreasing order.\nAnswer: l, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 7\/20 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (9 + 7 + -16 + 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 + 40*l**2 + 574*l + 27. Let v be c(19). Calculate the greatest common factor of 518 and v.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -24*z - 5128. Determine i(-111).\nAnswer: -2464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*x + 2)*((-4 - 2 - 4)*(-5 - 7 + 7) + (-4 - 3 + 6)*(0 + 1 + 1) - 1 + 2 - 2).\nAnswer: -94*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 240, 358, 476, 594, 712?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 58749 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 (base 14) in base 16?\nAnswer: -d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*f + 5, -2*j + 13 = 4*f - 3*j. Suppose f*t = 89 - 8. What is the greatest common divisor of t and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 + -55. Let o = n - -5. 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: Which is bigger: -1220 or -856803\/703?\nAnswer: -856803\/703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -11?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16.3 and 0.05?\nAnswer: -0.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32719498?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(14 - 2)*-4. Let d be (4 + -4 + r)*-1. Calculate the common denominator of d\/((-6)\/(-53)) + -3 and 101\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -15*l**3 + 3736*l**2 - 729*l + 119527. Give c(249).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, o: 2, q: 7, s: 1, v: 7}. Give prob of sequence rqs.\nAnswer: 7\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b - 39 = 4*h, 4*b - 2*h - 42 = 0. Let m(w) = 2*w + 6. Let u be (12\/15)\/(1\/(-5)). Let x(d) = 5*d + 11 + 6 - 4. Determine b*m(k) + u*x(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 2.3. Which is the closest to z? (a) 0.3 (b) 0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 21*f**2 + 97*f + 31. What is x(14)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 236120 to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*x - 44*x = 6*m - 50, 4*x - 127 = 5*m. Solve -x*i - 103 = -264 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and -99799?\nAnswer: -6985.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(1\/4)*k)*k*k\/(k\/k**5)*k*k)\/(k\/(k\/k**(-1\/6))*k**(-6)*k) assuming k is positive.\nAnswer: k**(155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1656 divided by -24241.\nAnswer: -1656\/24241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1032 and -105.237?\nAnswer: 926.763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/44*1504\/(-5640).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (7 - (2 + -5 + -1))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -15. Let j = -3 + q. Let x = -0.1 + 0.2. Which is bigger: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9273 and 62707117.\nAnswer: 3091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16 from -416.\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*d**3*u**2 - 6377*d**2*u**2 + 104078*u**2 wrt d.\nAnswer: 12*d**2*u**2 - 12754*d*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 53 and 23.\nAnswer: 1219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 187\/2, 21, 13\/8?\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -11. Let y = 272 + 102. Let t = 5612\/15 - y. Which is the biggest value? (a) w (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n + 9. What is a(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*x - y - 28, 0 = 4*x - 2*y + 32. Is (x\/(-5))\/(2\/145) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1082542943 to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.8 rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54407 is divided by 54400.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqqqdqqfqqqqfqqdq. Give prob of picking 4 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d**2*m + 27*d**2*z + 2*d**2 + 21213*d + 75*m**2*z - 2*m**2 - 2*m*z - 2*z wrt z?\nAnswer: 27*d**2 + 75*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*u + 34*u = 25*u + 11525951. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1 (c) 4\/1183\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 10:08 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 318\/(-424)*(8\/90 + 0)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**5 + y**5 - 26*y**6 + 7*y**2 + 19*y**6 wrt y?\nAnswer: -840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25467*s**6 + 27*s**2 - 36 wrt s.\nAnswer: -3056040*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 4*4*1. Let j = m - -23. Calculate the common denominator of (-7)\/3*21\/j and -31\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggaggggayggagaggyy. What is prob of sequence yyay?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*i - 6 + 0*i + 3*i + 5*i wrt i?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43.3, 2, -2\/7, 15, 2\/3 in ascending order.\nAnswer: -2\/7, 2\/3, 2, 15, 43.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*y + f + 225, 5*f = y - 45. Is 122 - (y\/(-9))\/(-5) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 131784 - 23441. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = d - 3087, -3*b - 9273 = -3*d - 0*b. Suppose 0 = -4*n - 4*m + 30864, -n + 4629 = -m - d. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**8\/1680 - g**7\/672 + g**6\/1440 + 2*g**3\/3 - 2. Let k(y) be the third derivative of d(y). Let k(j) = 0. Calculate j.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**2 - 1. Let d(h) = -h + 8. Let l be d(9). Give v(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22910 + 22939. Calculate the remainder when 4895 is divided by a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**6)\/u)\/u*u*u*(u*(u\/(u**(1\/5)\/u)*u)\/u)\/u*u*(u**(-2\/5))**(-1\/6) assuming u is positive.\nAnswer: u**(148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 47 - (-79 + 5) - 173.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 8*t + 3. Let p(x) = 7*x + 2. Let q(i) = i - 34. Let n be q(29). Give n*v(a) + 6*p(a).\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1420 (base 6) to base 9\nAnswer: -453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1964239870 to the nearest integer?\nAnswer: 44320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/1006635 and 45\/2842.\nAnswer: 408693810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3413401 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.372 - -1.772. Let d = -15 - -14.5. Let k = -2.5 - d. What is the second smallest value in h, k, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**4 + 42*l**3*n**2*p - 2*l**3*p**3 + 3*l**2*n**2*p**3 + 2*l**2*p**2 + 14*n**2*p**2 wrt l?\nAnswer: 72*l + 252*n**2*p - 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**2 + 20*d + 7. Determine o(9).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511 is divided by 172.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**5 + 44*y**4 - 544*y**3 + 1216*y**2.\nAnswer: 4*y**2*(y - 4)**2*(y + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*f**2*k**2 - 1245*f**2*k + 51*f*k + 10855*k**2 wrt k?\nAnswer: 16*f**2 + 21710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590395 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 456004\/6 + 6\/(-9). Round y to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**4\/4 - 13*g**3\/3 + 11*g**2\/2 + 15*g + 3. Let j be k(12). Let d be 45998 - j*8\/(-12). Round d to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*u**2 - 12*u**3 + 6 - 29*u**3 - 2*u**3 - 8*u**3 wrt u.\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**3\/3 - 8*t**2 - 45*t - 3210. Determine h(18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6 = 2*v, 9*v - 6 = 4*v - 4*i. Factor 1\/5*z**v + 2\/5 + 3\/5*z.\nAnswer: (z + 1)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*h = -h + 260, 422 = 5*v + h. Suppose 10*c - 7*c = v. Calculate the highest common divisor of c and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249, 231, 201, 159, 105, 39, -39?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258260560 divided by -5.\nAnswer: 51652112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 + -88. Let h be 1 + (0 + 124)\/m. What is the highest common factor of h and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(931) - sqrt(931)*-2)**2*6*-6 - ((0 + sqrt(931)*-2 - sqrt(931)) + (-3 + 0 + sqrt(931))**2)).\nAnswer: -126*sqrt(19) + 605168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {j: 4, e: 2, g: 2, u: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 512\/7 + -73. Suppose 4*a = -a. Suppose 3*c - 4 - 11 = a. What is the nearest to -2\/5 in m, c, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7342268 - -0.71904. Let n = 40.7446132 - l. Let m = 40.8 - n. Round m to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 341845, 683736, 1025627?\n\"Answer: 341891*o - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -115963886.3 rounded to the nearest 100000?\nAnswer: -116000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 0 + 1 + 37 + 53 + -87?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 2*s + 0*s)*(-2 + 1 - 1)*(7 - 2 + 0)*(-7*s + s + 5*s).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 4*b**4 + 3 + (-19*b**3 - 169*b**3 + 27*b**3)*(b - 3 + 3) as p*b**3 + d*b**2 + u*b**4 + m + q*b and give u.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 6*(-7)\/(-2) + 3.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -355705944*w**5 - w + 4155576.\nAnswer: -7114118880*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22629 and 101235.\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232991?\nAnswer: 11, 59, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*t = 27*t - 128 - 102 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3*y + 0)*(-y - 4*y - 14*y) + (-2 - y + 2)*(-6*y + 30 - 30) to the form b + o*y**2 + l*y and give o.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101 + -94. Let b(p) = -8 + 4 - 4*p - 4*p - p + c*p. Let w be (-30)\/(-7) - (-2)\/(-7). Determine b(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12507.891 * 5.\nAnswer: 62539.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (5\/15)\/(1\/(-18)). Suppose 2*i - 3*q = -f*i + 1168, -4*q - 1459 = -5*i. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n**2 + 65*n - 6 - 3 + 29 - 10. What is the units digit of i(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g + 0 - 2 - 3*g. Suppose 0 = 2*q - 3*q + 5. Suppose 2*i + 21 = -0*x + q*x, -3*x + 15 = 0. Calculate k(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.263 + -158.263. Let s = 146 + g. Which is bigger: s or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -331 + -11?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8092 (base 13) in base 15?\nAnswer: 539a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**7\/630 + k**6\/90 + 4*k**5\/45 - 8*k**4\/9 - 2*k**2 - 364*k. Determine t so that d(t) = 0.\nAnswer: -4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 17 = 703. Suppose -46*n = -41*n - r. Calculate the remainder when 94 is divided by n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -40. Sort 0, f, -5 in increasing order.\nAnswer: -5, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 250042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) - (sqrt(4617) + sqrt(4617) + sqrt(4617)*2 - sqrt(4617) - sqrt(4617)))\/(-2*sqrt(363) + sqrt(3)) - (5*(sqrt(19) + -1) + sqrt(133)\/sqrt(7)*-3).\nAnswer: -25*sqrt(19)\/21 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 7:48 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 112) + 125 - (0 + 14)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39851 divided by -7?\nAnswer: -5693","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Round 2553.10004 to the nearest integer.\nAnswer: 2553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -5b?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117493?\nAnswer: 293, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6636 or 6637?\nAnswer: 6636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 243*l**2 - 1 - 126*l**2 + 4 + 4 + 4*l - 119*l**2. Calculate d(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j = -17 - 15, -5*j = -3*g - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 34?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 11:52 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29269 - 389269. Round h to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00030079 rounded to six decimal places?\nAnswer: 0.000301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 28 = -24. What is the second derivative of -10*v + n*v - 35*v - 27*v**2 wrt v?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6)\/((-4*1)\/(-24)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 235 = -5*h + d, -d + 94 = 2*h. Let a = h - 31. Solve -4*j = -4*o + a, -j - 15 = 2*j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 1\/4 (c) -2\/193 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 692249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -27*c + 31*c. Let u be (1 - (-8)\/(-6))*(c + 2). Let j(f) = 2*f**2 + 4*f - 3. What are the prime factors of j(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g**2 - 149*g - 83. Give l(4).\nAnswer: -583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6239192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -632 - -1364. List the prime factors of n.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 16831963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16983 is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.37, -203, 546 in increasing order.\nAnswer: -203, 0.37, 1, 546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 0.2 (b) -4 (c) 0 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 884376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + 23 + (-22086)\/378 - (-2)\/21.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 664*h + 6626. What is i(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27395690 and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12*77*12\/252. Calculate the highest common factor of 132 and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -11 + 8 + 4 + -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -14*u. Let i(h) = -13*h. Determine -5*b(a) + 6*i(a).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**12*(y*y*y**(1\/9)*y*y)\/y*y**12\/((y**(-11)*y)\/y*y))**(17\/4))**(22\/7) assuming y is positive.\nAnswer: y**(31229\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 11 = m, -2*s - 9*m + 7*m - 18 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence atvm when four letters picked without replacement from maiarivamitiaaima.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/3 - 14708*d\/3 + 205520\/3.\nAnswer: 2*(d - 7340)*(d - 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-36))\/(60\/16)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 0*l + 0 + 6*l**2 - 7\/24*l**4 + 0*l**3. Let x(r) = 3*r. Determine x(p(w)).\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6802093165?\nAnswer: 5, 7, 194345519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1584) + (sqrt(1584)*-2)**2)*3*5 + 1) + 0.\nAnswer: 360*sqrt(11) + 190082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -653*c + 60 = -647*c. Which is smaller: 2 or c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-20)*5\/(30\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -17*v**2 + 7. Suppose 9*l + 0*l = 18. Let i(n) = -5*n - 26*n**2 + 5*n + 4 + 17*n**l. Give 7*i(p) - 4*t(p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**5\/60 + j**4\/24 + 42*j**2 + 1. Suppose u(b) = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 0 - (-8 + (3 - 6)). Suppose -s = -2*z - r + 4*r, -3*r - 18 = -4*z. Let f be (12\/4)\/(-2 + z\/6). Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -56*g**4 - 2*g**3 + 78*g**2 - 31893 wrt g.\nAnswer: -224*g**3 - 6*g**2 + 156*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136868.8 micrograms to nanograms.\nAnswer: 136868800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -628.79 to the nearest ten.\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1734b12 (base 12) to base 11\nAnswer: 2788227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4233296.1 to the nearest 1000.\nAnswer: -4233000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (21\/(-90))\/((-21)\/252). Find r such that 9\/5*r + 1\/5*r**2 + q = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7667 (base 10) to base 4\nAnswer: 1313303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 76\/(-38) - (-7)\/1. Solve 7 = 3*v - b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23762 - -0.02.\nAnswer: 23762.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -622 (base 7) in base 12?\nAnswer: -21a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 0.08 in ascending order.\nAnswer: -2, 0.08, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2246*g**6 + 2*g**3 - 4301*g**2.\nAnswer: 269520*g**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from dmddmdmddddddddddddd?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 49 + 6)*((-70)\/(-8) - 10)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1025 = 13*x - 1679. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1012*c**2 + 106*c**2 + 33*c**2 + (3*c**2 + c**2 - 2*c**2)*(-1 - 4 + 1).\nAnswer: -881*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 196, -7, 0, 15, 4, 1, -5 in increasing order.\nAnswer: -7, -5, 0, 1, 4, 15, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 3*l + 18. Let z(f) = f**2 - f - 1. Let n be -5 + -6 + 102\/6 - 3. Determine n*z(x) + v(x).\nAnswer: 2*x**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -294c + 2dd2?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20505 - -130?\nAnswer: 21035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 20, -5\/8?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-152232)\/(-16))\/((-1)\/4*-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, p: 2, i: 2, z: 5}. What is prob of picking 1 u, 1 z, and 2 i?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k, -k - k + 12 = -2*n. Let q(g) = g**3 + 6*g**2 - 2*g - 9. Let t be q(n). Solve -9 = -t*o - 0*o + j, j = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/28 and 25\/20806916.\nAnswer: 145648412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.13 in 1\/3, 2.16, -2, -1\/60, 2\/7?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 472 and 12.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 12.89355 and -83.\nAnswer: -70.10645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -2, 221920.2?\nAnswer: 221920.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-4) - (-2)\/8. Let o(x) = -x**3 + 3*x**2 + 6*x - 4. Let t be o(k). Solve 1 = -n - t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 15 = -5*u, -u - u + 3*z - 5 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.7 - 0.3. Let s = -0.1 + -0.2. Let r = s - -0.5. What is the closest to r in 1\/2, c, -3\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-2)\/3) - -2. Let h = 10170 + -10175. Put -9, h, m, -3 in decreasing order.\nAnswer: m, -3, h, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (67 + -59 - (4 - (4 + (-4 - 5)))) + -42.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 - (-162)\/(-189)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 483226*j**3 + 6697*j**2 - 3*j + 2?\nAnswer: 2899356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.301 + -0.001. Let j = l + -11. Let u = j - -5. Which is the third biggest value? (a) -2\/13 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(4\/9))\/y)\/(y*y**(-1\/31)))\/((y\/y**16*y)\/y*y)**(-6) assuming y is positive.\nAnswer: y**(-23582\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**19\/(g\/g**8)*g**5\/g*g**(4\/13) assuming g is positive.\nAnswer: g**(394\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-9)\/1)*(-9)\/(-2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - u**2 + 4*u + 4. Let y = 7 + -13. Let g be 2\/(0 - y\/(-9)). Calculate z(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -3*k + 4*q, 7*q = -k + 3*q + 22. Let j(d) be the third derivative of d**4\/12 - 7*d**3\/2 + 2*d**2. What is the units digit of j(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.13, -455, 2.\nAnswer: -455, -4, 0.13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiiixiixxiiiip. What is prob of picking 2 i?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1301622 and 24.\nAnswer: 5206488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 + 19*j\/3 + 204.\nAnswer: -(j - 36)*(j + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38233993 or 38233994?\nAnswer: 38233994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14, -27, -34, -29, -6, 41?\n\"Answer: q**3 - 3*q**2 - 11*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2)*(1 + 1). Suppose r*d = -2, 19 = 3*j - 5*d - 34. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**2 - 7*p - 2. Let t(q) = -15*q**2 - 29*q - 9. Let h(b) = -2*t(b) + 9*x(b). What is the second derivative of h(u) wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**4\/24 + 3*u**3\/2 + 4*u**2. Suppose 4*m = m. What is the units digit of p(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5072864 is divided by 1197.\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmxiimxmimxmximii. What is prob of picking 4 i?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 17061\/(-9306)*(-8)\/(-77)\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15 - -17 - -21 - (-14 - 1 - -6)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooaqbqyaqo. What is prob of picking 1 y and 1 a?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.214076 to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 49*n**2 - 101*n - 321. Calculate the least common multiple of 410 and x(-47).\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_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: What is the value of -4 + -6 + 3 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**11))\/d*d*d*d**(-10))\/(d**(8\/7)*d*d\/(d**7*d)*d) assuming d is positive.\nAnswer: d**(41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5 - 4. Let o be a*2\/(-12)*2. Solve o*d + d = -4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 = -4*k + 1, 3*r = -2*k + 6. Let u be k\/((0 - -1)\/(-1)). Let o = 425\/2277 + -1\/207. Which is smaller: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**17)\/(v\/((v*v**2)\/v)))\/(v*v**(1\/8)*v**(-2)))**(-49) assuming v is positive.\nAnswer: v**(5537\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -33*z - 30. Let i be b(-2). Let j = 50 - i. Calculate the remainder when 25 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 271\/(-435) - -34*(-297)\/(-16830)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1718372864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (167*h - 84*h - 3*h**3 - 90*h)*(-3*h - 3*h + 2*h).\nAnswer: 12*h**4 + 28*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {d: 3, y: 5}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2453*b = -2841*b - 18523 - 3593 for b.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 138\/(-23)*(-2)\/28. Factor 0 + 3\/7*r**4 + 3\/7*r**3 - 3\/7*r**2 - o*r.\nAnswer: 3*r*(r - 1)*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2039952372 to the nearest integer?\nAnswer: 45166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9239 - 7530 = 753*w + 11845 for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.43 - -0.57. Let b = 31.6 - m. Let c = -0.4 - -0.3. Put c, b, 3 in ascending order.\nAnswer: b, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*w**2 + 1293 - 2589 + 1296.\nAnswer: -239*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -t + 185. Let i = t - 156. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 5*l + 493 = 498, -3*y + 15 = -l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(70)\/sqrt(10) + 5 + sqrt(343))**2.\nAnswer: 80*sqrt(7) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -8*t - 4. Let y(a) = a + 1. Let b(u) = -s(u) - 4*y(u). What are the prime factors of b(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auawuaiwkkoi. What is prob of sequence kauk?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (112\/(-12) - -9)\/(1\/(-54)). Solve -2*p - 3*p = 2*t - 18, -5*t + p + d = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 52 = -2*z. Suppose -5*i = -3*i + z*k - 1236, 5*i = 2*k + 3054. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 620050660 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r - 22. Let b be q(-13). What is the closest to 0 in b, -0.5, 3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 = 4*m + n, m - 3*n - 12190 = -12127. What is the remainder when m is divided by (-4)\/18 + 490\/18?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -524.7 and 345?\nAnswer: -181021.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/20 and -93\/964?\nAnswer: 4820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -74*x + 4. Let l be m(1). Let f = l - -49. Let z = f - -27. Solve -2*n + 2*g - z = -2*g, 5*g = -5*n + 45 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 7. Let t be h(10). Suppose -2*s = -t*s. Suppose -2*p + 3*p - 1 = s. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2368 divided by 592\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 + 24*d + 22. Let m be y(-11). Suppose 42 = -7*w - m. Let b(h) = h**3 + 6*h**2 - h - 2. Calculate b(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + -0.83. Let r = n - -0.09. Let y = 0.11 - r. What is y rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -164520.2 from 7.78.\nAnswer: 164527.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 45324.14 times 0.2\nAnswer: 9064.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1402.\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.19 - 14.19. Let d = -13 + 16. Put 16\/3, d, z in descending order.\nAnswer: 16\/3, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2082 = 2*m + 4*c - 7150, -3*m + 3*c = -13803. Suppose 4049 = 15*k - m. What are the prime factors of k?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 170\/136*(6 - 790). Is -981 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500376951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 68 = -9*u. Let k(q) = -12*q - 9*q - 15 + 22*q. Let x be k(u). Solve 4*t = 3*t + x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.083 - 294.05972977.\nAnswer: -293.97672977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1894, -3781, -5664, -7543, -9418, -11289, -13156?\nAnswer: -15019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millisecond in microseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n\/(((((n\/n**7)\/n)\/n)\/n*n)\/n)*n)\/n)\/(n\/(n\/(n*n**(-2\/5)\/n))))\/(n*(n**0*n)\/n)**(-1\/30))**(-42) assuming n is positive.\nAnswer: n**(-2401\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - f - 2)*(-101*f + 13*f + 9*f) - 4*f**2 + 9*f**2 - 31*f**2)*(4*f**2 - 2*f**2 - 3*f**2) to the form j*f**4 + d*f + g*f**2 + w + n*f**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (794\/1191)\/(1*-1)*-45.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -22.1556 at most 0.257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 10 + -2 - 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342*p - 492 = 77*p - 1817 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d - 2 = -14*d. Suppose 3*o = -2*b + 68, 0 = -d*o + 9 - 5. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 + 0 + -1 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -377*q + 1522. Let h be k(4). Let d(g) = -3*g + 10. What is d(h)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/9 - (74 + -74). Which is the nearest to 0? (a) 1\/5 (b) t (c) 4 (d) -0.058\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1088) + sqrt(1088) + -1)*5)**2 + ((sqrt(119) - (2*2*sqrt(119) + sqrt(119)) - sqrt(119))\/(2*sqrt(112)))**2.\nAnswer: -800*sqrt(17) + 6965225\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50594385 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5920\/9 + 658. Determine m so that 2\/9 - 4\/9*m + x*m**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -4*j**2 - 234. Let v(p) = -2*p. Give l(v(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126383 and 4371.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 w when four letters picked without replacement from {y: 8, b: 5, g: 1, w: 1, n: 5}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 20 + 26*x as s + d*x and give d.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 86*j**2 + 516*j + 14. Let r be g(-6). Which is the second biggest value? (a) 16 (b) -1\/7 (c) 1\/7 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 15*m + 19. Let p(z) = 8*z + 10. Calculate 3*i(f) - 5*p(f).\nAnswer: 5*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**4\/2 + m**2\/2 + m - 2. Let i(x) be the first derivative of h(x). What is the first derivative of i(f) wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28\/294 + (-2606)\/21*1. Let u be (x\/(-31))\/((-9)\/(2\/2)). What is the closest to 18 in -5, -2\/7, u?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38.4 + -38.6. Put b, -0.5, 14 in increasing order.\nAnswer: -0.5, b, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1092710947 at least as big as -1092710945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3000 or 3218?\nAnswer: 3218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -832\/5 - -167. Which is the nearest to -0.1? (a) y (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 6*v**2 + 2*v - 10. Determine p(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-one halves of a millennium?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 not equal to -0.02009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1a8 (base 13) to base 6\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*d**3 - d**2*j + 13*d*j**3 + 5*j**3 - 2*j**2 wrt d.\nAnswer: -18*d**2 - 2*d*j + 13*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12749 + 12750. Suppose 5*o + 3 = 5*t + 13, -3*o - 3*t + 18 = 0. Sort o, -41, v in decreasing order.\nAnswer: o, v, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294913234 divided by -1?\nAnswer: -294913234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*s**6 + 10*s**5 - s**2 - 10*s**5 - 3*s**2 wrt s?\nAnswer: 360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 331, 1312, 2953, 5260, 8239, 11896, 16237, 21268?\n\"Answer: g**3 + 324*g**2 + 2*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 116290*c**2 + c. Let k be x(-1). Let y = 247054 - k. Let h = y - 65665. What is h rounded to the nearest 1000?\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11597 is divided by 862?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 5946187 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*g + 117, 5*g - 81 = 4*h + 114. Calculate the remainder when 90 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 12:03 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, -26, -28, -14, 22?\n\"Answer: k**3 - k**2 - 16*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.033051878 to 3 decimal places.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195450?\nAnswer: 2, 3, 5, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 165 - 5176?\nAnswer: -5011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axxxaxx. What is prob of sequence xxax?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 11643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(88) - (sqrt(88) + 5*sqrt(88)*2))\/sqrt(8).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from futyyyfdeeefuuf. Give prob of sequence yu.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1454*m - 2 - 75*m + 492*m + 0 - 1703*m as z*m + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**4\/7 - 5118*t**3\/7 - 22212*t**2 - 187320*t - 291648 = 0.\nAnswer: -14, -2, 1736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*t - 9 = 4*f, 4*t = f + 9. Let z be 2\/3*f + 0. Let k = -6 - -6.4. What is the nearest to -1 in z, k, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 + 121*f**2 - 476*f - 1770. Determine v(-64).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516906 is divided by 16674?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -0.3, 1, -1.15, -0.04, 59 in descending order.\nAnswer: 59, 1, 4\/7, -0.04, -0.3, -1.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*k**4 + k**4 + 6*k - 18*k wrt k?\nAnswer: 144*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 + -4)\/(9\/726). Suppose -2*w + 260 = 2*k, 0*k = -2*w + 4*k + s. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/(-225) + -1 + 4734\/3705. Let k = 14249\/3458 - y. Find the common denominator of k and -149\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fourty-four fifths of a millennium?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -11.2 (b) -0.4 (c) -1\/7 (d) -82 (e) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3154*u + 345*u + 33708 = 0 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26402124 to the nearest integer?\nAnswer: 5138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -23*u**4\/12 - 70*u**3\/3 - 5*u**2 - 2*u - 22. Let p be n(-6). Factor -9\/5*m**3 - 3\/5 - 21\/5*m**p - 3*m.\nAnswer: -3*(m + 1)**2*(3*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 45 + 20. Let t(d) = 11699*d + 4. Let p be t(r). Let z = p + 232083. Round z to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107\/448 - -3\/64. Let l be 0 + (-27)\/6 + 5. Put h, 2, 3, l in ascending order.\nAnswer: h, l, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43204, -43181, -43134, -43057, -42944, -42789?\nAnswer: -42586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/10 in -2, -665, 10, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 176, 2, -2\/3, 0.2, 269, 3\/5.\nAnswer: -2\/3, 0.2, 3\/5, 2, 176, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2465 (b) 6 (c) 75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29*(-132)\/(-5104) + (-364)\/16?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (142*s - 447057 + 447057)*(4 - 2 - 3).\nAnswer: -142*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1, -4, 4, -3 in decreasing order.\nAnswer: 15, 4, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 4:06 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 + 5*q**3 + 3*q**2 + q**3 - 1 + 1 + (-3 + 3 + q)*(-2*q**2 + 3*q**2 - 2*q**2) + 2*q**3 + 0*q**3 + 0*q**3.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 206165 - 7?\nAnswer: 206156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 10:52 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = -1795 + 5899. Calculate the greatest common divisor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 1. Let y = j - -6. Let h be ((-23)\/(1725\/(-30)))\/((-1)\/20*-2). Calculate the highest common divisor of y and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8*s**2 + 4*s. Let d(k) = 7*k**2 - 3*k. What is -4*d(u) - 3*l(u)?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**7\/1470 - 31*w**6\/840 + 5*w**5\/21 - 17*w**4\/42 - 236*w**2 + 4. Factor d(c).\nAnswer: -c*(c - 2)*(c - 1)*(c + 34)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 23 = 2*b. Suppose 0 = 3*j - b - 16. Calculate the least common multiple of j and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (0 + 9 + 9).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1\/2)*a)**16*a\/a**(-5)*a**(-6)*a assuming a is positive.\nAnswer: a**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/((p\/((p**(-1\/7)\/p)\/p))\/p)*p)\/(p\/(p*p\/(p**30\/p))) assuming p is positive.\nAnswer: p**(-183\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 1:16 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16508*h**2*w**3 - 1316*h*w**3 - 2*h*w**2 + 3*h wrt h?\nAnswer: 33016*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, m: 3}. Give prob of sequence pp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 307539.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30427850)\/(-452) - -2)*2. Let h = 134461109963\/998694 - v. Let t = -3\/982 - h. Find the common denominator of 73\/10 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 12*q**2 - 7*q + 87. Let f be c(12). Solve -5*v - 40 = 5*o, -f*o - 12 = v + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 7\/4, -2\/61, 1, 157.\nAnswer: -2\/61, 0, 1, 7\/4, 5, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 778?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.087 and 303585?\nAnswer: 26411.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -44, -171, -384, -683, -1068?\n\"Answer: -43*q**2 + 2*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 3:20 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 343 - 107. Sort y, -3, -1, 1 in ascending order.\nAnswer: -3, -1, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5 = -4*c, -c = -3*v + 8 + 9. Suppose -v - 5 = -4*g. Is 47 a factor of 189 - (g + -2 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**5\/30 - g**4\/24 - g**3\/2 - 54*g**2 + 17. Give j(-5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(3\/7)))\/((s*s\/(s**7*s))\/s)*(s**(1\/2))**(14\/9) assuming s is positive.\nAnswer: s**(517\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 33372.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 3*q + 19 = 0, 4*q + 5 = -2*c - 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -9*d - 4*d - d - 7*d + 6 + 2*d. Let v(n) = 18*n - 5. Calculate 5*f(u) + 6*v(u).\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81671 by -144.\nAnswer: 81671\/144","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 1207 = -19*w - 61*w. Let y(b) = -3*b + 53. Calculate y(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 - 3*a**3 + 3*a**3 + (-2*a - 2*a + 5*a)*(a**2 - 2*a**2 + 2*a**2) + 45*a**3 - 23*a**3 - 12*a**3.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 119064048.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 0*a + 14. Let d be ((-2)\/(-7))\/((-2)\/a). What is the third derivative of -2*h**2 + 4*h**2 - 6*h**6 + 2*h**2 - 5*h**d wrt h?\nAnswer: -720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*j**4*n - 11*j*n + 74*n - 6 wrt j.\nAnswer: -36*j**3*n - 11*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4 - 14 = 0. Solve 0 = -4*p - 26 + n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c + 4*c + p + 104, -3*p = -3*c + 72. Determine d so that -2*d**3 + c*d - 2*d**2 + d**3 - 21*d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 4*r + 23. Calculate the remainder when 101 is divided by r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 16) to base 3\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 3*g - 5*l, -2*l + 88 = g + 2*g. What is the greatest common factor of 39 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 2*m**2 + 3*m**2 + (0*m + 0*m + m)*(-6*m + 0*m - 5*m))*(13*m + 14*m - 29*m + 12).\nAnswer: 18*m**3 - 108*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.7 or 10588931\/5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/(-10) + 13 - 7 - (0 - -6). Let j(g) be the second derivative of 5\/6*g**3 + 19*g + 0 - p*g**2. Let t(l) = 14*l - 9. Give 17*j(n) - 6*t(n).\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 688 - 640 = 16*w. Which is the closest to 0.3? (a) -2 (b) w (c) -9 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 + -4 + 5 - (49 + -38)) + 12 + -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15480 is divided by 499.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**4*g**(2\/7)*g**(1\/2)*g**(-5)*(g**(4\/9)\/g*g*g**(-2))\/(g\/(g*g**(-2\/9)*g)*g)**(-28) assuming g is positive.\nAnswer: g**(187\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/7*(-4538)\/6807?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r - 18. Let l(w) = 4*w - 35. Let y(h) = 5*g(h) - 3*l(h). Determine y(-13).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(2 - 24\/14) + 6. Let g(u) = u + 1. Let w = 15 - 11. Let c(i) = 2*i + i + 4 - i. Give n*c(f) + w*g(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18856, 18866, 18878, 18892, 18908, 18926?\n\"Answer: i**2 + 7*i + 18848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-141)\/(-94))\/(3\/4). Solve 1 + g**v + 7\/3*g - g**3 - 2\/3*g**4 = 0.\nAnswer: -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*d - 30 = 0, 4*d - 22 = -2. Solve 3*i = -0*i + m*l + 30, 3*i + 3*l - 6 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1541, 3064, 4583, 6098, 7609?\n\"Answer: -2*s**2 + 1529*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 874 != 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (-4)\/(-2))*-2 + 34. Suppose -3*q = -3*w - 6*q - h, -3*w - q - 30 = 0. Is (-6901)\/(-9) - 2\/w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*t - 918000. Round t to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/2? (a) 1 (b) -1.32 (c) -3 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**3 - 8 + 0 + a**3 to the form w*a**3 + p + u*a**2 + i*a and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -555*w + 1. Let d(r) be the third derivative of r**4\/24 - 313*r**2. Calculate d(x(k)).\nAnswer: -555*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 10*b**3 - 79*b**2 + 18*b + 781. Is g(46) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-13))\/(19904\/129376)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1209)\/(-2106) + 2\/(-27)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4006307018 + 0?\nAnswer: 4006307018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 29 and 12378 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8110519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*b = 1, 5*a = 2*b - 1 - 7. Let o(j) be the first derivative of j**2\/2 - 24. Let y(f) = 12*f. Let k(i) = -15*o(i) + y(i). Calculate k(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1313800 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2291735830 to the nearest 1000000.\nAnswer: 2292000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from {l: 5, z: 1, y: 1, n: 3, j: 2}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s + 20*s = 12*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 13*m**2 + 12*m - 1. Let q be k(-12). Let d be -1*-18*(q - -2). Calculate the highest common divisor of 45 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2026642453 to the nearest integer?\nAnswer: 45018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/15 and 17990\/(-2632) - (-21)\/(8 + -5).\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2765*k + 445 - 445.\nAnswer: -2765*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 25 = w, 487*p + w - 13 = 484*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1235*o**3 - 616?\nAnswer: -3705*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3427 + 4*d - 5*d - 4764 + 9518 in the form f + q*d and give f.\nAnswer: 1327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-68)\/(-3 - (0 - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 10\/49037 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 0.052, 0.049, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (69\/6)\/(5\/(-50)). Let a = q + 129. What is the least common multiple of 2 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*n**2 + 0*n**3 - n**3 - 3*n**3 + 13*n**2 wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*f = -177*f + 5*l - 40, -4*l = f - 27 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*q + 363 = 48 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 1)*(-2539*d**2 + 8*d - 2538*d**2 + 5010*d**2) to the form c + k*d**2 + h*d and give k.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(2\/2 - 7). Suppose -5*m - 3 = -x. Suppose d + 6*y - 4*y - 2 = 0, -y = 2. Calculate the remainder when d is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 3:57 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*r + 4*r**2 - 109*r - 9*r**2 + 20 - 15*r**2.\nAnswer: -5*(r + 4)*(4*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 11. Suppose -u*m + 40 - 10 = 0. Solve m*j - j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -4*x + 2*q - 6*q, 4*x + 55 = -5*q. Suppose 81 = 3*v - 0*v. Let d = v + x. Solve -l - d = -4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 + -84. Let o be 2\/(h\/12*2). Is 3\/4 + 101\/o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36629526209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97620*-0.057.\nAnswer: -5564.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35180, 35204, 35374, 35762, 36440, 37480?\nAnswer: 38954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21540751 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 - 5*g**2 - 5*g + 5. Let c = 16 - 11. Let v = 1 - 0. Let q(w) = w**2 + w - 1. What is c*q(f) + v*y(f)?\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -528*z - 659*z - 132*z + 352*z to l + h*z and give h.\nAnswer: -967","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*w + 2373 = 71*w for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 926252.1 days in hours?\nAnswer: 22230050.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 37 (b) -1\/16 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92818?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -10*w**5 - 178*w**4 - 284*w**3 + 64*w**2 = 0.\nAnswer: -16, -2, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 17 - 4 + 25*g + 43*g. Let l be o(3). What is the greatest common divisor of l and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 6:14 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 + q**2 + 10*q - 179. Let k be c(0). Which is greater: k or -181?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 139 = -127 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21032100 - 121?\nAnswer: -21032221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 2. Let j(h) = -1. Suppose 5*q = -7 - 123. Let z = 29 + q. Let u(g) = -g**3 - 3. Determine m*u(v) + z*j(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/8)\/((-1)\/4). Suppose -5*y + y + 6 = 2*x, 5*y - 3*x - 13 = 0. Find the second derivative of q - 5 + y*q**4 + j wrt q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*q - 7 = 19, 4*d - 167 = q. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.073008 + 0.4\nAnswer: 0.473008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 24*v = 29*v, a + 4*v = 0. Solve 0 = c + q + 4*q + 5, c - 4*q - 4 = a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - a**2 + a. Let j be x(0). Suppose -3*t + 4 = -5. Suppose t = l - 6. Solve 0 = w + 2*q - l, j = -2*w - 3*w - q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g. Suppose 0 = 1140*t - 1172*t. Let u(i) be the third derivative of 0 + 0*i + 23\/12*i**4 - 15*i**2 + t*i**3. Calculate u(j(z)).\nAnswer: 46*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*b + 16, 3*r + b = 368. Calculate the highest common divisor of r and 186.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 2:37 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6 - 2 = 0. Suppose 0 = l*j + 2*n - 8, 0*j + 2*j - 4 = 4*n. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = -d + 13*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/13)\/x*x)**37*(x\/(x*x**6*x))**(2\/57))**(-29) assuming x is positive.\nAnswer: x**(-667493\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 8*c - 15. Let x = 45 + c. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.12 and -6075.67495.\nAnswer: -6075.55495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**3\/8 + 3*c**2\/16 + 1. Let d(b) = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 67 - 183?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41184 by 88.\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23068 to the power of 1\/2, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1126 - -1126.699. Let n = 4 + -3.3. Let i = n - v. Round i to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 8*v - 13. Let i be f(10). Suppose 0 = i*q - 4*q. Suppose q*g = g - 39. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 8. Let k be g(-6). Let a = -1 + k. Let l(i) be the third derivative of -i**5\/60 + i**4\/8 - 2*i**3\/3 - i**2. What is l(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (7 - -2)\/3 + 2\/(-1) and (-6 - 0)*9\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 5:05 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n**2. Let h(y) = 143990*y**2. Give t(h(i)).\nAnswer: -145131840700*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3607995?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*b + 28777902 = 0, 3*q + 0*b - 17266736 = -5*b. Let i = 8595582 - q. What is i rounded to the nearest 100000?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 69 = 43. Suppose 2*p = 2*u - 40, -p = -5*u + 72 + d. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 111443?\nAnswer: -111440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66690036 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1260) + (sqrt(1260)*-2 - sqrt(1260)) - sqrt(1260)))\/((((sqrt(28) - sqrt(84)\/sqrt(3)) + sqrt(28))*-5)\/sqrt(4)).\nAnswer: 36*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/142932 and -59\/178665.\nAnswer: 714660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h + 107. What is the remainder when 191 is divided by t(6)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**2\/13 - 2058*g\/13 - 512308\/13 = 0.\nAnswer: -607, -422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**2 - 6*t. Let w(r) = -2*r + 44. Calculate q(w(l)).\nAnswer: -16*l**2 + 716*l - 8008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-1) - -40)*1072\/335. Suppose -2036 = -2*g - s. List the prime factors of g.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/15)*t**(-31) assuming t is positive.\nAnswer: t**(-463\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 6*g + 2*g. What is the second derivative of 18*b**3 + b**4 + 22 - 11*b**3 - g*b**4 - 4*b**4 + 3*b wrt b?\nAnswer: -84*b**2 + 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h**3 + h**2 - 79 + 6*h + 2*h**4 + 3*h**3 - 19*h**3 + 75 - h**3 to the form o*h + n + u*h**2 + b*h**3 + l*h**4 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -182*a**3 + a**2 - 26*a - 79. What are the prime factors of t(-3)?\nAnswer: 2, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/(-4)*12\/(-15). Let b(a) = -a + 6. Let f be b(v). Solve f*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(192) + -5*sqrt(192) - sqrt(192)) + 5 + 2)**2.\nAnswer: -320*sqrt(3) + 4816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 662.59949188 + -662.6. What is d rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 9*j = -12*j + 23, -2*z - 9 = j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = 2*h - 617. Let z = h + -25. Suppose -4*u + 9*u = z. Calculate the greatest common factor of u and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 10:16 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.74 in 3, 50, -1\/4, -53, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 1)*(-3 - 3*g + g - 6) in the form l + w*g and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (12 + -16 - (-3 + 2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33466952, 66933902, 100400852?\nAnswer: 133867802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -301 - -313. Is f less than or equal to 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.21 to 1 decimal place.\nAnswer: 47.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + -59. Let t be (-66)\/(-10) - (-15)\/b. Suppose -4*o + t = -14. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39459 + -20769. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -52, 2\/9, -39\/610, 3\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52072*o**6 - 37*o**2 - 24*o?\nAnswer: 6248640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 873\/(-194)*2\/(-45)*4.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/66 and (2 - 807\/(-420)) + (-10)\/((-30)\/(-9)).\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 10*k + 4. Let m be l(-9). Let p = m + 8. Find the third derivative of -4*x**p - x**2 + 3*x**2 + 2*x**3 wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 1908?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435 = -5*c + 5*o, -163*c - 247 = -166*c - 4*o. Calculate the remainder when c is divided by 46.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87.514014 - 95.8140554. Let y = 8.3 + p. Round y to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 171182380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 39. Suppose 5*p - u = -42. Let i be 13\/(-39) + 3827998\/p. What is i rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3128 by -4.\nAnswer: -782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12.13 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1280707, -3 in decreasing order.\nAnswer: 5, -3, -1280707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 6 - 18. Suppose c + 4 = z*a - c, -4*c = -4*a + 8. Sort a, -51, 2.\nAnswer: -51, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuvvuvvhvvuuhhuh. What is prob of picking 3 v?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - 2*k**2 - k**2 + (2*k - 1 + 1)*(3*k + k - 3*k) + k**2 + 0*k + 0*k)*(3*k**2 + 4*k**2 + k**2).\nAnswer: 32*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35946229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - 4*t**2 + 2*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**2\/2 - 85036894*j - 3615636670583618 = 0.\nAnswer: -85036894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-3)\/2*4. Let u be (v - (2 + -5)) + -3. What is the units digit of (-117)\/(-2) + u\/36?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 + -80. Solve -5*a + 5 = -z*o - 3*a, 20 = -4*a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*a**2 - 2417*a**2 + 1300*a**2 - 11*a - 41 wrt a.\nAnswer: -2070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 13*p**2 + 6*p + 196. What is the units digit of w(-22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87\/4 + -22. Suppose 13*k - 21*k = 0. Suppose -l + 3 = m - k*m, 12 = -m + 4*l. What is the second smallest value in d, m, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205089 is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q + 26. Let n be k(6). Let t = 8 + n. What is the remainder when 190 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 15 = 0, -4*u - 2 = 2*s - 0. Let r(f) = f**3 + 13*f**2 - 90*f. Let b be r(5). Let v be 60\/(-6)*8\/10. Put b, v, s in descending order.\nAnswer: s, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 28.98312 millilitres?\nAnswer: 0.02898312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 66649 - 82*b - 66649 + (4 - 4 + 1)*(0*b + 0*b - b).\nAnswer: -83*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.4 - -78.4. Let p = d - 77.3. Which is the nearest to p? (a) -6 (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 996, 987, 964, 921, 852, 751, 612?\n\"Answer: -h**3 - h**2 + h + 997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8613 divided by -148.\nAnswer: -8613\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -138831, -1110420, -3747585, -8883114, -17349795, -29980416?\n\"Answer: -138798*k**3 - 3*k - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6003 (base 11) to base 3\nAnswer: -101221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2530 or 2512?\nAnswer: 2530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147 and 71001.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 3. Calculate the lowest common multiple of b(4) and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/10 - (-357)\/(-126)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - 44) + -50 + 14.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((35\/70)\/(2\/(-4)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1592993 is divided by 86.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -4*k - 16, 3*m + 3*k = 1845 - 1848 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85\/66 - -2044\/165. Calculate the common denominator of 119\/380 and v.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 408 divide 48152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3))**(-1\/16)\/(z**(1\/2)*z*z\/(z*z**3\/z*z)) assuming z is positive.\nAnswer: z**(35\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3114, 73, 4, -2 in decreasing order.\nAnswer: 3114, 73, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34467771 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -140.98 - -1.98. Let a = 76250057 + -76250196.0000025. Let b = t - a. What is b rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6*d**2 - 35*d - 3. Let s be a(6). Suppose -s = 7*f - 8*f. Suppose 4*l - 12 = 8. Sort f, 4, l, 0.\nAnswer: 0, f, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -32*r**2 + 19*r - 20. Let t(o) = -29*o**2 + 16*o - 17. What is 5*i(c) - 6*t(c)?\nAnswer: 14*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**3 - 4*w**2 - w - 1. Let m(s) = -s**3 + 1. What is -2*m(l) - x(l)?\nAnswer: -2*l**3 + 4*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5329 divided by 896.\nAnswer: -5329\/896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 75*k**3 + 10*k**4 - 71*k**3 + 6 in the form x*k + i*k**3 + l*k**2 + y + d*k**4 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*sqrt(91)*1)\/(-1*((sqrt(63) - sqrt(7)) + sqrt(7) - sqrt(7))) + (3 + (sqrt(208) + sqrt(208)*-3 - sqrt(208)) - (1 + sqrt(208) + -2)).\nAnswer: -19*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/6 + 72101*j**2\/3 - 1732947531*j\/2 + 3465510534.\nAnswer: -(j - 72099)**2*(j - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 2*w - 205. Suppose 14*a - w = 11*a. What is the greatest common divisor of 150 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-4 + -2)\/(4\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-140)\/65 - (-12)\/78\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - 0 - (65 - 67) - -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**4 - 1905 + 40*q**2 + q**3 + 1905 in the form b + v*q**3 + x*q**4 + p*q**2 + z*q and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7689 + -7546. Solve y = 7*x + 171 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - 1) + -56 + (0 - -70)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 5)*(2 - 5 + 1)*(d**3 + 0*d**3 + 2*d**3).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000229 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 2*v + v. Let m = v + -19. Let x = -2447 + 2450. Solve -4*k - m = 5*f + 23, -3*f = -3*k + x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 446 in -212, -1, 0.3, -4, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -63. What is the greatest common divisor of 44 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-3)*3\/(-6). Let u(f) = -69*f**2 + 70*f**2 - s*f - 3*f - 4. Calculate u(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.3703 or -229?\nAnswer: -229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l - 2. Let s be u(2). Let v(b) = 19*b - 1. Let x be v(s). Suppose -43 - x = -4*a. Calculate the smallest common multiple of 8 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x - 16. Suppose 1 = 2*u - 3. Suppose -9*g + 42 = -u*g. What is the units digit of j(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -68, -148, -284, -494, -796?\nAnswer: -1208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m + 60 = 0. Let h be (0 + 0)\/(m\/4). Solve 4*a - 4*p - 16 = h, 4*a - 3 = -2*p + 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6. Let u(k) = -k - 5. Let p(v) = -5*c(v) + 6*u(v). Let i(j) = -j. Let r(m) = -3*m + 20. Let o be r(9). Let w = -8 - o. Give w*p(n) + 3*i(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 4*v**2 + 7*v + 2. Let c be x(5). Let s = c + -17. Let k = 11 + s. Calculate the greatest common factor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131620701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7759067 > 7759067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 159308\nAnswer: 5\/159308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25*(4 - (-34)\/(-10)). What is the tens digit of (-213)\/(-3*5\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, f: 4}. Give prob of sequence fnn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25676\/165 + -3\/55. Let h = 156 + u. Are -0.7 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**0)\/a)**(5\/6)\/(a\/a**(-1))**35*(a**(-1\/4)*a*a\/(a*a**(-5)\/a*a))\/(a\/a**(-1\/4)*a)**14 assuming a is positive.\nAnswer: a**(-383\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12700 and 1600?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 38*i**2 - 7*i + 10. What is t(2)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnwc when four letters picked without replacement from nnwwwnccwwnww?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -1\/3*l**3 + 0*l**2 + 6*l + 50. Let y(m) = -m**2 + 3. Give 5*y(q) - 3*z(q).\nAnswer: -2*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l**2 - 18*l**2 + 65491343*l**3 - 65491512*l**3.\nAnswer: -169*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 - 10486 + z**2 - 11050 + 22242 + 0*z**3 in the form l*z**3 + v + w*z**2 + h*z and give v.\nAnswer: 706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5941547\/6 + -995467. Let k = -5233 - x. Calculate the common denominator of k and -97\/34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5082, -10163, -15244, -20325, -25406, -30487?\n\"Answer: -5081*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 146, 149, 154, 161?\n\"Answer: h**2 + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(7) + -2 + sqrt(7)))**2 - (-4 + sqrt(7)*2))*-3 - sqrt(49)\/(sqrt(63)\/(sqrt(72)\/sqrt(8)))*6.\nAnswer: -2412 + 600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 0*k + 6*k + (39*k - 18*k + 22*k)*(-1 + 0 - 1))*(-2*k**2 - 4*k + 5 - 5).\nAnswer: 170*k**3 + 340*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -322 - -450?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 divided by -4?\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -1380?\nAnswer: -1380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23888.27kg to micrograms.\nAnswer: 23888270000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.5 in 510, 5, 18\/11?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -13112000 to the nearest one hundred thousand.\nAnswer: -13100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5701.74 + -5353. What is n rounded to the nearest 10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 13*g**2 + 16*g + 20. Give d(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 26, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117499115143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 482825331 to the power of 1\/2, to the nearest integer?\nAnswer: 21973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-1)*6\/15. Let i be ((-2)\/6)\/(h\/30). Solve n + 4*f = 5, i*f + 2 + 3 = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*p - 1593 + 1905 = 0 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 482099 - -1a?\nAnswer: 4820b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*p*z**2 - 26*p - 7*z**2 + 3 with respect to z.\nAnswer: 42*p*z - 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.2726 hours to weeks.\nAnswer: 0.007575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - p + 6 + 3, -2*x - 4552*p + 11 = -4553*p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.9 - 3. Let d = -5 + 14. Let w = d - 8. Which is the nearest to w? (a) -4 (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 128968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -53?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 5 = 6*u. Let o(c) = 7*c + u*c - 10*c. Let z(r) = -5*r**2. What is z(o(h))?\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 717221281*q**5 + 124963701*q - 1?\nAnswer: 14344425620*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmhm when four letters picked without replacement from ddmmmhhmmmhmhh.\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -131\/147?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5388+-208\nAnswer: -5596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -717598\/5 - -232501571\/1620. Find the common denominator of c and -61\/90.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -222 + 527. Suppose 0*m = 2*o + m - y, 0 = 3*m - 3. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 140746 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 546536483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 9352.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 384 - 358. Let f = v - 25.7. Sort -0.5, 1, 0.157, f in ascending order.\nAnswer: -0.5, 0.157, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 47, 5\/6, 3, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10870.\nAnswer: 2, 5, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637294289.\nAnswer: 139, 4584851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 493*d**2*h**3 - 50*d**2*h**2 wrt h.\nAnswer: 2958*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 - 52. Suppose 3*r + s = 2*t + 1, -5*r + 30 = 5*t. Put t, 7, 1, 2 in decreasing order.\nAnswer: 7, t, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**3 - 31890*q**2 - 50944140*q - 304517880 = 0. What is q?\nAnswer: -3186, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786474614 a multiple of 1042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 74740*s**2 - 1111*s. Let y(t) = -202*t**2 + 3*t. Determine -6*a(u) - 2222*y(u).\nAnswer: 404*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 254 - 93. Calculate the remainder when 311 is divided by 159\/(-106) - f\/(-2).\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**2 - 20*s - 8. Let y(f) = -2*f**2 + 13*f - 2. Let l be y(7). What is the units digit of j(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t - 8. Let l(k) = -k. Let d(j) = 3*l(j) + s(j). Let i = 10 + -3. List the prime factors of d(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.580862ng in grams?\nAnswer: 0.000000004580862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.049 times -4.60329?\nAnswer: -0.22556121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 22 = 10*z. Let b = 24 + z. What is the remainder when 19 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven thirds of a hour?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**5\/80 - h**4\/4 + 85*h**3\/24 + 42*h**2 - 3929*h. Suppose t(u) = 0. Calculate u.\nAnswer: -16, -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26149 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 c = 21\/46 - 781\/23. Let x(r) = 2*r + 7. Find the common denominator of x(6) and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -92241 + 13?\nAnswer: -9222e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1343825 is divided by 61.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 - -5)\/(2\/(-8)). Let g(f) = c*f**2 + 3*f - 13*f**2 + 3*f**2 + 9*f**2. Let n be g(-2). Solve 3 = -n*x + 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.75 + -11.75. Are p and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 12*j + 2*j = -17*j. Solve j = -25*u + 21*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5406\/18 + 9)*(-466)\/56. Let s = -2575 - j. Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2743 and 2457?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-405)\/576)\/(6\/(-2440)). Let d = t + -285. Find the common denominator of 3\/(-12) - 82\/24 and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 t when three letters picked without replacement from goooggogotgoto.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 5 - 3)*(-51*d - 60*d + 12*d).\nAnswer: 792*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.12 + 0.118. Let g = -0.056 - b. Round g to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 448, 1759, 3964, 7075, 11104?\nAnswer: 16063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/84*(-8)\/20*-1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10662.9989122 - -10663. What is i rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 794*g**3 + 19*g**2 - g - 15. Let q be j(8). Suppose -200331 = -12*r + q. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from rdddrdodroppp?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 45*c**2 + 527*c + 2150. Let o be x(-4). What is the greatest common factor of 96 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - u**2 + 4274*u + 8579. Determine f(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/60)\/(42\/480))\/((-75)\/(55125\/98)).\nAnswer: -80\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 132042413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*x - 2*q + 16, 5*q = 2*x + 21. Let s be (4\/(-6))\/(x\/(-6)). Find d, given that -11*d + 37*d**s - 7*d**3 - 10*d + 6 - 2*d**3 - 13*d**2 = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1118751.\nAnswer: 3, 372917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.7 - 6.7. What is the closest to -0.1 in 0.3, v, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, 16, 39, 68, 103, 144, 191?\n\"Answer: 3*b**2 + 8*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 77345791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - -19. Let i = 2540 - 2544. Is (v\/i + 4)\/(1\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 137 - 104. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -10\/7 (b) 9 (c) 1.13 (d) 0 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -134, -131, -126, -119, -110, -99?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i**2 - 11*i**2 - 5 + 28*i**2 - 11*i**2 in the form y + k*i**2 + g*i and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 44.524 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -59\/9, 4\/3, -2\/7, 0.1, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-4)\/(-1))\/4)\/1*(-8 - -3). Suppose 0 = -x - 0*q - 4*q - 21, -2*x - 5*q = 27. Let i be x\/4 + (-11)\/4. Is r < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 41. Let v be t\/15*6\/(-10). Find d such that -6\/5*d - 2\/5*d**2 - v = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/152 + 9\/(-36). Suppose 0 = -2*o, -4 = 2*q + 2*o + 4. What is the third biggest value in v, 2\/7, -0.3, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0379 + -0.04626. Round b to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/1327?\nAnswer: -4\/1327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24155, 25065, 25975, 26885, 27795, 28705?\nAnswer: 29615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(21)*2 - sqrt(21)))\/(1*sqrt(252) + sqrt(252))*3 + -1.\nAnswer: -1 + 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(14\/1*(-13)\/78)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 636 + -53?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*h + 87*h + 45*h + 517*h**2 - 518*h**2.\nAnswer: -h**2 + 154*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 3, -1, 61 in increasing order.\nAnswer: -2, -1, 2, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -11, -3, -132 in increasing order.\nAnswer: -132, -31, -11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 + 0*r + 0*r + (-r - r + r)*(6*r - 4*r + 2*r))*(1855*r - 275*r + 533*r)*(-r + 0*r - 2*r) in the form z*r**3 + i + f*r + g*r**4 + a*r**2 and give g.\nAnswer: 19017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5, -9, -33, -67, -111?\n\"Answer: -5*s**2 + s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-8)*((z*z*z**(-17))\/z)\/z assuming z is positive.\nAnswer: z**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + 3*sqrt(119)*4 - 5*sqrt(119)*-1)\/((sqrt(252)*-2 + sqrt(252))*2*6).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*i**3 - 1 - 484*i**3 - 3*i - 196*i**3 + 22*i**3 + 0*i.\nAnswer: -848*i**3 - 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2de4 + -62?\nAnswer: -2e56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + (-132)\/(-20))\/(84080\/1400 - 60).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 0*c - 4*c + 6, 0 = 5*i + 2*c + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 17. Suppose 0*t = -2*j + t + 4, -3*t + 12 = 0. Suppose x + j*x = g. Solve 4*s + x = 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + i + 7 = 0, -2*n + 3 = 3*i - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 394639132 + 17.\nAnswer: 394639149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 17 = f, -5*x + 3*f - 4*f + 20 = 0. Suppose -13*q = -4*q - 441. Let o = x + q. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 400341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 9 = -3*p, -12*p - 2*h = -9*p - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*t - 2)*(-42*t - 22*t + 6*t)*(3 - 4 - 1) in the form k + d*t + w*t**2 and give w.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o**3 + 4*o**4 + 2*o**3 + 1 + 2*o**3 + o to the form u*o**3 + z*o + y + d*o**2 + w*o**4 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -1*-4*1)\/((-546)\/3003)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*u - 0*u - 35, -5*z = 3*u - 28. What is the units digit of (-234)\/(-8) + u\/(-44)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 4 = 7*x - 5*x, 0 = -2*x + 2*z + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-8 + (3 - -6) + 16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1388 times 4?\nAnswer: 5552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/5))**(1\/51)*((x**(-2\/53)*x*x)\/x*x)**(-12) assuming x is positive.\nAnswer: x**(-106186\/4505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 265744 and 62238808.\nAnswer: 7816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111365 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 9:53 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21112103 - -23?\nAnswer: -21112020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 58056884 plus -676233?\nAnswer: 57380651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -173\/7 - -25. Let h be ((-8)\/(-16))\/((-1)\/2). Is h >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50*-115\nAnswer: -5750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*t - 56*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18.1 + 18.8. Let w = -1.02353859 + 0.32353844. Let y = q + w. What is y rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 19*a + 7. Determine k(-23).\nAnswer: 628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 195*f**2 - 6*f - 12. Let k(w) = 97*w**2 - 3*w - 6. Let v(z) = 5*k(z) - 2*p(z). What is the hundreds digit of v(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -136.93 and -2.\nAnswer: -138.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/((-200)\/(-15) + -14)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 118731 and 17784.\nAnswer: 37044072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 9*m + 9*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1381380 divided by -20020\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-28)*-7*12\/(-8).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 3. Let i(o) = o**3 - 3*o + 1. Let r be i(2). Suppose -5*j = -x - 2*x + 1, 3*x - 9 = -r*j. Which is greater: x or t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 9048194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 17*d**6\/120 - 5*d**5\/12 - 6*d**2. What is the third derivative of u(b) wrt b?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 4*i + 3. Let w be m(5). Let h = 2 - w. Suppose 1 = -h*q + 3*k, q + 2*q - k - 3 = 0. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**2 + 4249920*f - 33999680 = 0.\nAnswer: -849992, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 + 26*v - 32. Let n be q(-16). Sort n, -4, 3, 1 in descending order.\nAnswer: n, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + 0*c + c)*(19 + 5 + 0) + (-2 + 0 + 3)*(-1 + 2*c + 1) in the form w*c + p and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*x = -36*x + 4*g - 3*g - 2, -18*x - 39 = -3*g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/51)*n*n*n**(-7) assuming n is positive.\nAnswer: n**(-257\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 289\/1025 or 1?\nAnswer: 289\/1025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -75\/2*q**2 + 25\/2*q**3 + 6 - 2*q = 0.\nAnswer: -2\/5, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 998519 is divided by 443.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3196, 3197, 3198, 3199?\nAnswer: 3200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018974893 to six dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 274. Let x = n + 368. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**5 - 40*a**4 - 160*a**3 - 70*a**2 + 155*a + 110 = 0.\nAnswer: -2, -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 797933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/(-5) - (-2)\/10. Let v be ((-160)\/6)\/(g\/(-6)). Let s = -559\/7 - v. Are -1\/4 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 0)\/8 + (-10)\/40. Let n = -1.1 + 0.8. Put -5, n, t in ascending order.\nAnswer: -5, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -5 (c) 5 (d) -17 (e) -47 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5 - 40*o**4 - 88*o**3 + 844*o**2 - 1254*o + 540 = 0. Calculate o.\nAnswer: -15, -9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*a + 65*a + 2*p + 6, 2*a + 10 = -2*p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 - -78. Let w(x) = 3*x**2 + 7*x + 14. Let c be w(l). Suppose 50 - c = -i. Solve 0 = 4*r - i + 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -17. Let w(s) be the first derivative of 2 - 1\/4*s**4 - t*s**3 - 5\/2*s**2 - 7*s. Give w(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.60766 and 16.4?\nAnswer: -9.965624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -984, -976, -956, -918, -856, -764, -636, -466?\n\"Answer: q**3 + q - 986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**(2\/7)\/x))*x)\/x*x**(-2)*(x*x**(2\/3)*x*x)**(-45) assuming x is positive.\nAnswer: x**(-1174\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o + 72 = p, 0 = -3*o + 5*p + 216. What is the remainder when o is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161355 is divided by 1640?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65833362 = 4*i - 2*y, 8 = 2*y - 2. Let r = i + 8158338. Round r to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g - 6*g + 8*g**2 - 9*g**2 to q*g**2 + u*g + h and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b - 5. Let a be z(7). Let w(v) = a*v - 7 + 21 - 3. Let f be w(-8). Do -6 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/1*(-36)\/(-8)*1\/(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3. Let h(z) = 267*z**3. Give -3*h(s) + 12*x(s).\nAnswer: -789*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 59*g - 737. Let x be c(39). Do x and -36 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 12, 14, 16, 18?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 9. Let g be q(6). Let h = -10 - -8. Put g, 3, h in increasing order.\nAnswer: g, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -887805 and -16 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*z = 127*z - 12523. List the prime factors of z.\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 950007946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31424 and 160.\nAnswer: 157120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -308 + 148597938294\nAnswer: 148597937986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by ((9 - 7) + 4)\/(6\/14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9\/92, 0.5, -5, 1\/14, -2\/13, -0.2?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-5)\/(j**(-4\/7)\/j)*(j\/(j**(-5)*j))\/j*j**8 assuming j is positive.\nAnswer: j**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 4:21 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-2\/7))\/h)**(-2\/3)*(h**(-2))**(1\/3))\/((h\/(h\/((h**6\/h)\/h)))\/(h\/(((h*h**2)\/h)\/h))*h*h**(2\/5)\/h*h**(-2\/3)\/h) assuming h is positive.\nAnswer: h**(-337\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(378) - (sqrt(378) - 2*sqrt(378)*-4)))\/((sqrt(36) - -2*(sqrt(36) + (1*sqrt(36) - sqrt(36)) - sqrt(36)))\/(sqrt(6) - sqrt(384)*-2)).\nAnswer: -408*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2211*s - 471*s - 437*s - 834*s - 467*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -8*b + 46. Calculate the remainder when 67 is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*305*3\/(-5). Suppose 2*p - i = -p. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 934 in -11, 3\/7, -0.6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*r)*((-2*r**2 + 2*r**2 + 2*r**2)*(-2*r + 5*r - r) + 2*r**3 + 0*r**3 + 0*r**3 + r**3 - 4*r + 4*r)*(1 - 1 - r).\nAnswer: 14*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z + 144. Calculate the lowest common multiple of h(20) and 21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 382456900 to the nearest 1000000.\nAnswer: 382000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-2) + (-30)\/(-20). Sort -7, -0.5, h in descending order.\nAnswer: h, -0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -1\/2, -21, 2\/7?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 128, 366, 774, 1352, 2100?\n\"Answer: 85*x**2 - 17*x + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, p: 7, f: 1, y: 7, n: 3}. Give prob of picking 3 y.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 261733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1261143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 77830 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(16) + (sqrt(16) - (sqrt(1936) + sqrt(1936)*2)))*-4*-3)\/(-1*-2*sqrt(40)\/sqrt(5)*4))**2.\nAnswer: 8657\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, 15, 0.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1785.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a0 - 70?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**6)**(5\/2))**47)**(-10) assuming a is positive.\nAnswer: a**(-8225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3255 and 3.\nAnswer: 3255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1320, 1334, 1356, 1386, 1424?\n\"Answer: 4*u**2 + 2*u + 1314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + 124. Calculate the remainder when i is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 10:10 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 6116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -15091797 > -15091798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 137, 196, 239, 260, 253?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -217, -649, -1297?\nAnswer: -2161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 454774*w**3 + 674639*w?\nAnswer: 2728644*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y. Suppose -2*b = -0*b. Let h = b - -4. What is the remainder when h is divided by l(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -781 by -422638.\nAnswer: 781\/422638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 4*v + 3*q, 2*q + 50 = 2*v - q. Suppose -4*k + 4 = -3*k. Suppose -13 = -4*n - p, -5*n - k*p = -n - v. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4. Let n be (-2 - (-9)\/6)*m. Suppose n*o - 6 = -3*o. Solve 0 = -o*d + 5*d - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -82962069, -82962066, -82962063?\n\"Answer: 3*k - 82962072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/217504 and 19\/7140.\nAnswer: 55463520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = 19*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12020 - -111200220202?\nAnswer: 111200201112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**3 - k**2 - 2*k + 4. What is the remainder when q(3) is divided by ((-12)\/(-3))\/(12\/45)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9104705?\nAnswer: 5, 19, 239, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -2078397?\nAnswer: 14\/2078397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + -2 + (0 + sqrt(2448))*-6 - ((2 + -1 + sqrt(2448) + sqrt(2448))*-3 + 2))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 - -254. Calculate the remainder when c is divided by (-335)\/(-40) - 50\/(-80).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20.8 - -21.3. Let f = -26.5 - -26. Which is the third biggest value? (a) f (b) 4 (c) q (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72 - -72. Is i > -4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*s = s + 27, z - 7 = 3*s. Let y be ((-10)\/(-8))\/((-2)\/z). Sort y, -3, -8.\nAnswer: -8, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 1. Let z(m) = 2*m. Let f(n) = n**3 - 7*n**2 - 10*n + 12. Let u be f(8). Let k(s) = u*z(s) - 4*a(s). What is the first derivative of k(p) wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g + 13. Let k be x(10). Let d(z) = 3*z - 15. Let f be d(k). Calculate the least common multiple of 6 and f*((-10)\/24 - (-3)\/(-12)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3 + 0 + sqrt(1008) + sqrt(1008))*-6)**2 + 4.\nAnswer: -4896*sqrt(7) + 145445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85861 smaller than 85862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9425 - -637?\nAnswer: -8788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00624 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 30*d + 54. Let c be l(28). Let f(j) = -282*j - 13. Is f(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 394695253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 7*z. Solve 22*c**2 + 5*c**3 + z*c**3 - 5*c - 22*c**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/9867 and 49\/302588.\nAnswer: 907764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 5*s**2 + 15*s + 13. What is the smallest common multiple of 21 and w(-7)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1254)\/(-836)*(-4)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270790.\nAnswer: 2, 5, 13, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 22*k + 1269110 = 26*k, 2*h + 4*k = 253806. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 5 + 3 + 2557*o - 2922*o.\nAnswer: -365*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9543964.\nAnswer: 2, 2385991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -13*w**2 + 323*w + 83. Calculate the least common multiple of 184 and a(22).\nAnswer: 7176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 220027 = 40022. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -90398 and -30287.\nAnswer: -120685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.8 - 1.795. What is c rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/3)\/((-10)\/(-60)). Is (-508)\/d*(2 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29162, -58326, -87490?\n\"Answer: -29164*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 17*p**2 + 14*p - 14. Let m = -44 + 28. What is the smallest common multiple of a(m) and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 880438112 a multiple of 4297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-8)*7\/((-105)\/24)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5889450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*u + 118*u + 4*x = -14, 0 = -u + 4*x + 2. What is the greatest common factor of u and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 8:23 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19093.\nAnswer: 61, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 13*z**2 - 10*z - 31. Let p = 139 + -130. Is s(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f + 23. Let u(w) = -2*w**2. Give u(p(q)).\nAnswer: -32*q**2 - 368*q - 1058","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from bibiibiiiiiiici?\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.3 + -7. Let c = 320\/1071 + -2\/153. What is the biggest value in 1, c, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 135*c**2 - 21*c. Let r(g) = g**2 + g. Let k(u) = 5*j(u) + 105*r(u). Let q(t) = -t**2. Calculate k(q(x)).\nAnswer: 780*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72 - -158. Suppose -5*w + z - 26 = 0. Solve 0*q + 2*k = 2*q + 10, -4*q = 4*k + w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*j + 3*s + 2, -2*j = -s - 3. Let d be ((-75)\/(-20))\/(2\/8). Solve 0 = -5*p + d, 2 = 3*v - j*p + 23 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 420 - 2*f + 3013*f**4 - 3*f**2 + 2983*f**4 - 5994*f**4 to d*f**2 + v*f**3 + c*f**4 + b*f + m and give m.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 55 = -2*i, -828*p + 832*p + 30 = i for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -18\/13, 1, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -493 in -2\/149, 2\/15, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 165\/60*12\/22?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4340 is divided by 1391.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 17. Let i = v + 10. Find the common denominator of i\/(-3) + (-37)\/(-33) and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 4. Let h be k(9). What is the highest common divisor of h and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8670580?\nAnswer: 2, 5, 37, 11717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3 = -3*f - 5, -10 = -5*f + v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-17*24\/(-12)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*0\/(20\/(-4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8112 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 119625072 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 4*k**2 + 0 - 3\/2*k**3 - 1\/20*k**5 + 5\/6*k**4 + 2*k. List the prime factors of d(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 24. Let t be (-5)\/(-25) - 273\/15. Let g be 8*t\/(0 - 2). Calculate the highest common divisor of g and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(12) - sqrt(24)\/sqrt(2))\/sqrt(6) + 2*sqrt(12)\/sqrt(6) + sqrt(2) + 4.\nAnswer: -1 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/5 of a millennium?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d - 4. Let j be z(10). Calculate the highest common factor of 26 and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -17*p + 16. Let l be d(1). Let a(z) = -13*z**3 + z**2. Calculate the remainder when 41 is divided by a(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 divided by 106.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 14*x + 3. Let f be g(14). Suppose -q - 11 = -12. What is the fourth biggest value in q, 1\/15, 4\/5, f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 8. Let z = c - -6. Suppose u = 2*w + 7, -3*w - 9 - 3 = -z*u. Solve -4*n = 3*f + n - 7, -f - u = -n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 1258*y - 8422. Let i be d(7). Calculate the highest common factor of i and 24000.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - d - 1. Let j be 1*6\/3 + -1. Let s(c) = 5*c**2 + 5*c + j + 0 + 5. Let m(i) = 6*q(i) + s(i). Factor m(y).\nAnswer: -y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 k when two letters picked without replacement from vokioikkooiko.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/266256 and 37\/23134?\nAnswer: 71622864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 + 2*l**3 - 2*l**3 + (-4*l**2 + 2*l**2 + 17*l**2)*(-l - l + l) - l**3 + l**3 - 2*l**3.\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1072, -2152, -3234, -4318, -5404, -6492?\n\"Answer: -j**2 - 1077*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2835 + -1155. Is 105 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 39\/15 - (-3)\/(-5). Suppose 4499 + 701 = x*w. Suppose w = -6*c + c. Round c to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + 2*w**4 - 2*w**3)*(-272*w + 13319 - 13319).\nAnswer: -544*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = 28*h + 491260000. What is h rounded to the nearest one million?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 482, 4094, 13832, 32738, 63854?\nAnswer: 110222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -53, -79, -107, -137, -169?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358*q + 2903 - 12637 = 10114 - 2664 for q.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9a7c8 (base 13) to base 14\nAnswer: 74262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*l**2)*(0*l + 3*l - 4*l) + (-3*l**2 + 0*l**2 + 4*l**2)*(l + 3*l + 0*l).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.15745 and 0.41.\nAnswer: 0.0645545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6995?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 72*u**2 - 35*u - 165. Calculate h(-7).\nAnswer: 3608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -1221*t - 71982. Give h(-59).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 43064, 86126, 129186, 172244?\n\"Answer: -f**2 + 43065*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -801 + 806. Which is the nearest to -0.5? (a) x (b) 1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231093451 to the power of 1\/2, to the nearest integer?\nAnswer: 15202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-1\/2)\/s*s*s))\/s**(-3)*s**(2\/7)*s*s\/(s\/((s*s\/s**(-6))\/s)) assuming s is positive.\nAnswer: s**(165\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 596.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16736 and 134411?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -740, -1477, -2214, -2951?\nAnswer: -3688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**2 + 1077967*a - 3233910 = 0.\nAnswer: -1077970, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-9)*(0 + 1). Suppose w = -4*s + s - 4*k - 15, -4*s + 4*k = 48. Let h(o) = -o**2 - 14*o - 10. Determine h(s).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0233464 and 56?\nAnswer: -1.3073984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 17*x + 24. Calculate a(-17).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2*-0.7421\nAnswer: -1.4842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300*j**2 + 330921*j - 330921*j.\nAnswer: -300*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*n**5 - 25*n**2 - 22*n**5 + 57*n**5 wrt n?\nAnswer: 780*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 844\/(-6) + ((-2)\/3)\/2. Let p = y - -526. What is the highest common divisor of p and 154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25464319.\nAnswer: 25464319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 11:52 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 24*r + 1227. Let b be x(-25). Solve 2*g = b*a + 4 - 2, 2*g = 5*a - 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -433 - -442. Solve 0 = -d - 4*n - 13, 5*d + 4*n = -8 - g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 84, 116 in descending order.\nAnswer: 116, 84, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 692 - 694. Let o be (-24 + 22)*13\/c. Solve -5 = -2*q - o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 6527916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 (base 10) in base 13?\nAnswer: 17b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 948290.\nAnswer: 2, 5, 7, 19, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -29408*y - 29399. Determine m(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 4)*(11 - 1 - 2)*(-4*d + 4*d + 2*d) to l + p*d and give p.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 66107989?\nAnswer: 66107989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*i - 1337837*w + 1337833*w - 188 = 0, w = -4*i - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 15*b**2 - 123*b - 71. What is y(21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -9 - (-31 + 7 + (-6 - -15))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 10:20 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 - 126430*x + 126428.\nAnswer: 2*(x - 63214)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/3, -0.4, -78, 3, -0.039 in decreasing order.\nAnswer: 3, 7\/3, -0.039, -0.4, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -47*o - 1. Let f be w(-2). Let t = f + -116. Is -14 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**2 - 14*a - 7. Suppose 3*j + 3*k - 18 = 0, -5*j + j + 2*k = -12. Let n be x(j). Solve -2*p + 1 = -n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + (4 - 3) - -3) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 46 = -4*g, 4*m + 56 = -4*g - 0*g. Let w = g - 3. Let u = w + 19. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.14341us to milliseconds.\nAnswer: 0.07914341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 365159.2 decades?\nAnswer: 3651592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4340*x - 3. Let s(r) = 45*r + 1. Calculate 2*c(j) + 6*s(j).\nAnswer: 8950*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**2\/7 + 1216*h\/7 - 72420\/7 = 0.\nAnswer: -355, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 1:28 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 0 - 13*h + 0. Let t(q) be the first derivative of 25 + 1\/3*q**3 + 0*q + 0*q**2. Calculate t(w(j)).\nAnswer: 169*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 174 + 266. Suppose -6*o = -o - t. Suppose 0 = -3*i + 3*a - 7*a + 17, 0 = -4*i - 5*a + o. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 32\/5. Let x = -409\/9 + 376\/9. Which is smaller: n or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -35 - ((-325677)\/(-132))\/(-71). Let f = -0.3 - 0. Let c = f + 0.8. What is the third smallest value in -1, t, c, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 2*h**2 + 2. Let z be s(-2). What is the second derivative of -2*r**5 + r**2 + 2*r + 0*r - r**z wrt r?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*o - 53*o + 275 = 0. Suppose -4*c + 169 - 41 = 0. Let y = o - c. What are the prime factors of y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, 9, 2, -5 in descending order.\nAnswer: 9, 6, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/1725 and -7\/1725.\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17*-60.\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 - 5*q**2 - q - 10. What are the prime factors of i(-6)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -11*c + 1. Let o(p) be the first derivative of p**4\/4 - 3*p**3 + p + 17. Let q be o(9). Determine u(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.039 - -5517135864823\nAnswer: 5517135864823.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j + 149. Let c be t(0). Suppose -123 = -2*u + c. Let l(w) = -18*w - 2. Let n be l(-2). Calculate the highest common divisor of u and n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5599, -5582, -5547, -5488, -5399, -5274?\n\"Answer: w**3 + 3*w**2 + w - 5604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**5\/30 + 97*a**3\/2 - 1855*a**2. Let b(c) = -2*c. Determine b(r(y)).\nAnswer: -4*y**2 - 582","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(3*f - 3*f - f)*(2 - 2 - 1 + (4 - 5 + 3)*(4 - 2 + 0) - 1 - 2 + 4 + 40 + 34 + 0).\nAnswer: -78*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/5*(-55)\/(-86493). Let p = w - 408862\/55041. Find the common denominator of p and 56\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 189141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p - 2. Let d = -4 - -6. Let m be v(d). Does 6 divide (-1)\/(m*3\/(-120))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2))\/o**(3\/11))\/((o**(-4\/3)\/o)\/(o*o**(-12))) assuming o is positive.\nAnswer: o**(-196\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -23, 4, -31 in decreasing order.\nAnswer: 5, 4, -23, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 - -56. Let l(z) = -4*z + 7. Let d(m) = 11*m - 20. Determine a*d(g) - 8*l(g).\nAnswer: -g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/((16\/2)\/((-1112)\/(-139)))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*j - 161 = 8, 4*a - j = -152. Let t = -24 - a. Calculate the remainder when 48 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**7\/1260 - h**5\/60 + h**2. Let q(v) be the third derivative of t(v). Suppose -2*f = 1 - 5. What is q(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pywpwwpwxxpwpxwpw. What is prob of sequence xx?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -115884 less than 345396099?\nAnswer: 345511983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 - 41*n**2 - 77*n + 5. What is l(-2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*2166.\nAnswer: -51984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -462, -1602, -3842, -7554, -13110?\nAnswer: -20882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8380, -33596, -75616, -134434, -210044, -302440?\nAnswer: -411616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 85*l - 244. Let p be i(3). Solve -28 = -p*f + 18*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**5\/20 - c**4\/3 + c**2 - 6*c. Let t be h(-4). Factor -6*v**2 - 20*v**3 - 4*v**4 - 16*v + 15*v**2 - 23*v**2 - 18*v**t.\nAnswer: -4*v*(v + 1)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2 + 13 = -5*w, 5*s + 2*w = 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 - 1)*(-2)\/4. Let d(f) be the second derivative of -f**3\/6 - 9*f**2\/2 - 26*f. Let b be d(-12). Solve -b*v + c = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 48*y. Let h(n) = 3*n**2. Calculate h(f(a)).\nAnswer: 6912*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109 - -109. Suppose -4*k - 5*u = -0*k - 18, j = -3*k - 3*u + 12. Let v be k\/(-3)*4080\/(-32). Calculate the greatest common factor of v and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + 2*s - 2*s)*(-s + 74 - 74)*(-s**2 - 9*s**2 - s**2).\nAnswer: 33*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2777?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -2 - (-2 + 4 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26213 and 14298?\nAnswer: 157278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9421 by -9421.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, -20 in ascending order.\nAnswer: -20, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3119 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v - 3. Let n be x(6). Suppose -5*r + 81 = -n. Let m be 2\/(-6) - (-8)\/r. Which is the third biggest value? (a) 4 (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.21 - 0.19. Which is the closest to 0? (a) u (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27177 and 177?\nAnswer: -4810329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 378*s - 397*s - 133 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-3)*3\/2. Let t = -1.9 - 0.3. Let k = -3.2 - t. Which is the third biggest value? (a) k (b) p (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 10*r - 3*r + 2*r**2 - 8*r. Let i be h(-1). Suppose -i*l = -0*l - 15. Solve -l = -5*j + 15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -12*l**3 - l**2 + 2*l + 3. Let n be u(-2). Let g(f) = -47*f - 41*f + n*f. Let k(p) = 22*p**2. What is g(k(q))?\nAnswer: 66*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/5*g + 12\/5 - 3\/5*g**5 + 3\/5*g**2 + 3*g**3 - 3\/5*g**4.\nAnswer: -3*(g - 1)**3*(g + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1206\/23 + -229643\/4416. Find the common denominator of 13\/153 and y.\nAnswer: 9792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 299 and 3071744?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 3)*(-17 + 9100\/39). Calculate the greatest common factor of 295 and a.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49678 less than 50?\nAnswer: -49628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 103*q - 103. Suppose 53*a - 437 = 30*a. What are the prime factors of u(a)?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(6480)*6)\/(sqrt(729) - ((sqrt(729)*-5 - sqrt(729))*-5 - sqrt(729) - sqrt(729))))**2.\nAnswer: 320\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 16.0325s?\nAnswer: 16032500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 138060219 rounded to the nearest ten thousand?\nAnswer: 138060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -35130, -70111, -105102, -140109, -175138, -210195?\n\"Answer: -d**3 + d**2 - 34977*d - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/12 and 47\/948?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 77.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 7:30 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301*d = -5*g + 305*d + 1245, 0 = 6*g + 5*d - 1494. What is the remainder when g is divided by (-2 + 12)*6\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + 26124?\nAnswer: 26141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-156)\/24)\/((-2)\/4). Suppose 4*f = -3 - t. Let d(q) = -q**3 + q**2 - 2*q - 1. Is d(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1291104um in centimeters?\nAnswer: 0.00001291104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -385 + 589. Let f = v + -196. What is r in 2 - 4*r**3 + 2\/3*r**4 - 20\/3*r + f*r**2 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17729, -17459, -17189, -16919, -16649, -16379?\n\"Answer: 270*g - 17999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + o = 16, g - 2*o + 5 = -0*g. Let r = 5 - g. What is the tens digit of ((-33)\/(-6))\/(r\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4446750 and 19950.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*(sqrt(2) + 1) + sqrt(2) + sqrt(8) + 3 - (sqrt(18) + 0 + (sqrt(90)\/sqrt(5))**2) - sqrt(324)\/(sqrt(72)*3 - sqrt(2))).\nAnswer: -40 + 304*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426473489?\nAnswer: 13, 3181, 10313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 5*x + 23 + 12 = 0, -5*w - x + 19 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -1\/3 (b) 18534 (c) -0.3 (d) 0.3 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m = 35*m - 468. Suppose 0 = -3*y - 3*c + m, -125 = -2*y - 4*c - 13. Let p = -14 + y. What is the least common multiple of 12 and p?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 8:14 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 20. Let f = v + 8. What is the closest to 1 in f, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 2*a - 2, -5*n - 4 = -a - 3. Suppose n = -4*f + 10 + 38. Let h = f - 1. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.038 + 20.038. Let o = -2.5 - 12.5. Let g = z + o. Put g, 1\/6, -2\/3 in descending order.\nAnswer: g, 1\/6, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 6) to base 3.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*g - 5, g - 3 = -4*l - 4*g. Let s(o) = o**2 - 2*o + 1. Let v be s(3). Suppose 5*c - v = 21. Calculate the least common multiple of c and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 9*a**2 + 69*a - 691. Calculate the remainder when r(9) is divided by 38.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i. Let b(x) = x**2 - 792*x + 1. Give y(b(h)).\nAnswer: h**2 - 792*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = t - 0. Suppose 2*m = t*m + 9. What is the units digit of 6*m\/(-12)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2 - 553*k - 13414. Give g(206).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kpc when three letters picked without replacement from {e: 1, c: 2, k: 2, a: 8, p: 1, g: 1}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -22, 129\/5, -2\/5?\nAnswer: 129\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 70, 349, 846, 1585, 2590, 3885, 5494?\n\"Answer: 4*l**3 + 85*l**2 - 4*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-3) + 1)*-6. Let y(r) = -r**2 - 6*r - 3. Let i be y(m). What is the derivative of o + i*o - o + 0 + 1 wrt o?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d**3 + 242*d**3 + 156*d**3.\nAnswer: 381*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 55*i - 3. Let n(a) be the first derivative of 7*a**3\/3 + 12265. Calculate v(n(s)).\nAnswer: 385*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 70 + 10\/(-85) + 2\/17. Suppose b + 4*u - 44 = -2, -2*b = u - x. Let t = 0 + -2. Put b, 2, t in ascending order.\nAnswer: t, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-7)*2\/6. Let w = 4.4 - -0.6. Which is the closest to -1\/2? (a) w (b) -4\/15 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, k: 5, z: 4}. Give prob of picking 3 h.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10900943 a multiple of 542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvyyyvyyyyvyvvvvvvy. What is prob of picking 1 y and 1 v?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2. Suppose -186*f + 183*f = 0. Let s(g) be the third derivative of 3*g**2 + 11\/24*g**4 + 0*g**3 + 0 + f*g. Give b(s(k)).\nAnswer: 242*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -67746, -67704, -67662, -67620, -67578?\n\"Answer: 42*y - 67788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -39 - (30 + -28 - (5 + -11 + 5)) - 11\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251 = -13*a + 12*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312*b**3 + 335*b**3 - 651*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -121*b + 1406. Let z be w(11). What is the highest common divisor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -8 - (3 - (-8 + 10)) - -11.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-96)\/120 - (-48)\/10. Suppose 87 = v*i + 2*o + 345, 5*i + 3*o + 320 = 0. Is -66 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 10*i**2 - i - 1. Give g(9).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 1\/2, 47, -141\/4, 2, 18?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 333 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 7*d + 6. Let v be i(-7). Let x = v + 0. Let f = x - -2. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l + 180 = -12*l + 267 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + -7)\/(-3) - 1*-248. Let f = q + -248. Let p(x) = -7*x**3 + 3*x**2 - x - 1. Give p(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 + 5 - ((-1)\/2 - (-94979970)\/12). What is s rounded to the nearest 100000?\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1624524 and 85752?\nAnswer: 29241432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*q + 173993*q**3 + 71416*q**3 + 26*q.\nAnswer: 245409*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -141, -145, -151?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 3*l + 3 - 1, -2*l + 5 = 5*c. Suppose 5*m - 11 = -c. Factor 0*j**2 + 8*j**3 + 2*j**m - 6*j**4 - 4*j + 0*j.\nAnswer: -2*j*(j - 1)**2*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 - 2)*(0 - 4*s + 0).\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9.3, -12, -30 in decreasing order.\nAnswer: 9.3, -12, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 82 - -2a102?\nAnswer: 2a184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -529, -2017, -4497, -7969, -12433?\n\"Answer: -496*n**2 - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2466633090.\nAnswer: 2, 3, 5, 82221103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 32*x**4 - 1012*x**3 - 2528*x**2 - 1892*x - 408 = 0.\nAnswer: -1, -3\/8, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 51*u**2. Let n(f) = -42*f**2 - f. What is n(p(x))?\nAnswer: -109242*x**4 - 51*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1119 - 1109) + (39 - (6 + -7)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 - -160. List the prime factors of g.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*k**4 - 7*k**4 + 39*k**4 + (-k**3 - 2*k**3 + 5*k**3)*(-k - 3 + 3) as n*k**3 + u*k**2 + f*k**4 + h*k + v and give f.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 - 12*w**2 + 2*w**2 + 4*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4375717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 11:05 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k**2 + 8*k + 23. Let m(v) = v**2 - v + 1. Let j(n) = -5*m(n) + r(n). Let l be j(-12). Solve 2*h - l = -0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1\/8, -2, -23717 in ascending order.\nAnswer: -23717, -2, 0.1, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, y: 1, p: 3, f: 3, e: 4, z: 1}. Give prob of sequence pifi.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8180212*i**2 + 7558564*i wrt i.\nAnswer: -16360424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 2*q - 5 - 15 = 0, 4*m = 4*q + 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130692, 261365, 392014, 522627, 653192?\nAnswer: 783697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4088, -8183, -12278, -16373, -20468, -24563?\nAnswer: -28658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2238 is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*u = -u - 11, -2*u = -5*d + 13. Solve 5*n + 9 = l - 5, 2*n + d = 5*l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 281.79 + -306.7. Let a = k - -25. Let u = 5 - 7. Sort a, u, 3 in ascending order.\nAnswer: u, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 10*s**2 - 4404*s + 44011. Give o(10).\nAnswer: 971","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -11*s - 56. Let p be (-56)\/(-70) + 4\/10*-17. Let k be u(p). Calculate the highest common factor of 40 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/(-3 - (-1 - 0 - (-5635)\/(-490)))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 14*l = 16*l - 108, -n - 171 = -3*n + 27*n - 2*l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 622139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**4\/4 + 51*j**2. Let g(r) = -2*r**2. Determine g(d(x)).\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 11*c**2 + 1. Let z be (7 - 5)\/((-1)\/(-1)). Let m be t(z). Let l be 26\/3 - 2\/(-6). What is the highest common factor of m and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.07309, 1\/2 in ascending order.\nAnswer: -0.07309, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 7*j**6\/30 + 3*j**2 - 9*j. Differentiate l(v) with respect to v.\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 11 = -7. Solve -o - o + m - 9 = 0, -3*m = a*o + 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1505 - 1477 = -4*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -1\/2*f**3 + f**2 + 1\/6*f**4 + 0*f + 0. What are the prime factors of m(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1869*i + 16726. Give k(-9).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - o**2 + 5*o - 7. Let i be x(-3). Let k be (-6)\/4 - 6\/48*i. Let t(l) = 7*l**3 - l**2 - 2*l - 1. What is t(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 5*y + 66400, -4*n - y = -6*n + 66400. Round n to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.3 + -7.3. What is the fourth smallest value in 0.07, k, 0, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 56*z - 1254. What is h(75)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*((-14)\/4)\/(-1). Let l be (-52)\/(-130)*55 + -22. Solve -2*p - 5*j - 10 = l, 3 = -3*p - 5*j - n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -115 and -5.\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*z = 3 + 6, -5*i + 3*z - 7 = 0. Let c = -1 - -6. Suppose c - 1 = -2*j. Is j at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-14) + (-6)\/7. Solve 0*w - 2*p = 4*w, -w - 5*p + 18 = f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 932715127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4, 0*p + 2*p = -2*g + 8. Suppose 0*b = g*b - 6. Let k = 9\/14 - -6\/7. Which is bigger: k or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -113, -130, -161, -212, -289, -398?\n\"Answer: -y**3 - y**2 - 7*y - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -1 + 44 + -56.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1400)*2 + sqrt(1400))*-2)\/((sqrt(32) - -4*sqrt(1568))\/sqrt(4))*-3.\nAnswer: 90*sqrt(7)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -813 divided by -3\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 - 3*q**3 + 6*q**3 + (3*q**2 - 3*q**2 - q**2)*(2*q - 4*q + 0*q) + q**3 - 5*q**3 + 5*q**3 + (-q - 2*q + 4*q)*(-2*q - 2*q - 3*q)*(-4*q + q + 5*q).\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f - 4*f**3 - 88*f**2 + 0*f - 314*f**2 + 0*f + f - 2 to k + m*f**3 + d*f + s*f**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -7. Suppose -2*m + 27 - 17 = 0. Suppose 4*k = 5*q - 4*q + 12, 4*q + d = m*k. Solve -3*v = -q*p - 2*v - 4, v = -3*p - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 18 + -12 - (2 - 2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**(-3)))\/i**(-2\/13))\/(i**1*i*(i\/(i**(6\/5)*i))\/i))**(-1) assuming i is positive.\nAnswer: i**(-218\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4950 and 891?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*i = 93*i + 36. Put 5, 4, i, -2 in ascending order.\nAnswer: i, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 373 + -355. What is the least common multiple of 66 and q?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 148, 222, 286?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3)*(-2 - 2 - 2)*(-23*x - 1 - 4*x - x).\nAnswer: 504*x + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from chhhhhccchhcc.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 8*f + 3*n + 281 = 0, 4 = -2*n. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 11*f = 68. Solve 2*s + 16 = f*u, 5*u + 3*s - 2 = s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 15 + 3)*(-5*k - 8*k + 4*k)*(2*k - 3 + 3).\nAnswer: -252*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22b2 (base 14) in base 8?\nAnswer: 13624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4735 - -0.1735. Let p = -0.05 - -0.25. Which is the closest to -2\/7? (a) p (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -49\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/30)\/(-3)*(-3)\/6.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1405637?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 8345950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -111 + 107. Let c be (-104)\/(-20) - s\/(-20). Suppose 4*y = 0, -2595000 = -0*q + c*q - y. Round q to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -83\/3 (b) -2 (c) 2\/9 (d) 148.5 (e) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15, 75, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -95, -129, -179, -251, -351, -485?\n\"Answer: -p**3 - 2*p**2 - 21*p - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 433*s**2 - 891*s**2 + 461*s**2. Let d(q) = -2*q**2 + 5*q. Calculate d(u(r)).\nAnswer: -18*r**4 + 15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/(-8) - (0\/(-1) - (-3 + 20 - 10))?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402148 divided by 127468?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 + 28*l + 116. Give c(16).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/((t*t*t**(1\/2))\/t))*t))**31\/((((t\/t**(-5))\/t)\/t)\/(t**(-2\/7)\/t)) assuming t is positive.\nAnswer: t**(-725\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289409 is divided by 2491?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6 = -0*a. Suppose a*h = 8*h - 410. List the prime factors of h.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 1054 + i + 1067 - 2121. Let b(t) = 3*t**2 - 2*t. Calculate -b(s) - 3*u(s).\nAnswer: -3*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 20 = 3*g, 12*q + 355 = -36*g + 13*q for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5122 (base 14) to base 7.\nAnswer: -55442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 2*k + 55. What is y(0)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-499)\/8 + 3\/12. Let h = x + -127. What are the prime factors of 122*(3 - 21\/6 - h)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*f**4*u - 2*f**3*u**2 - f**2 + 36*f*u**2 - 2*f*u wrt f?\nAnswer: 276*f**2*u - 12*f*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 0*w + 0 - 11\/60*w**5 + 0*w**3 - 3*w**2 - 1\/8*w**4. What is the second derivative of x(q) wrt q?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19273855 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 + 27*v - 27 + v + 0*v + v - 2*v + 3 - 3 + (-2*v + 1 - 1)*(-2 - 1 + 5) + 2*v - 3 + 3 as x + r*v and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*1.073982.\nAnswer: -0.4295928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one quarters of a micrometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 3) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 10:13 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(7)*1 + 0 + sqrt(84)\/(sqrt(768) - (sqrt(768) - (2*sqrt(768) - sqrt(768))))*-2)**2.\nAnswer: 7623\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 56, -1\/7, 0.5, 2.29 in increasing order.\nAnswer: -1\/7, 0.5, 1, 2.29, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3310*k**2. Let n(g) = 1302*g. Give n(l(x)).\nAnswer: -4309620*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/(-805)*5\/(-8)*2?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*t - 479 - 567 = 0, 3*t + 18 = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kg when two letters picked without replacement from gyngkynyyyygn.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 107634586 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**2\/5 - 5093556*n\/5 + 3243039090642\/5 = 0.\nAnswer: 1273389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 9:17 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1159 (b) 0 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 9*t - 4. Let j(i) = 33*i + 1. Give j(n(a)).\nAnswer: 297*a - 131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.918504km in centimeters?\nAnswer: 191850.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/6368 and -11\/96?\nAnswer: 19104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6240, -25033, -56380, -100281, -156736, -225745, -307308?\nAnswer: -401425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14437294 and 14437294?\nAnswer: 14437294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6*a - 5. Suppose 3*h = 59 - 17. What is the remainder when d(-5) is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -156*z - 1085. Let i be o(-7). Calculate the greatest common factor of i and 5761.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - -0.2. Let v = -521\/22155 - 185\/422. Let y = v - 4\/105. What is the third biggest value in l, y, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119423 not equal to 2119424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 3:35 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3650, 8146, 12606, 17030?\nAnswer: 21418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**7\/840 - y**6\/60 - y**5\/12 - y**4\/6 - 36*y**2. Factor l(z).\nAnswer: -z*(z + 2)**2*(z + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 - 3*x**2 - 3*x - 2. Let n(y) = -12*y**2 + 3 - 11*y**2 + 4*y + y**3 + 42*y**2 - 17*y**2 - 2*y. Give -3*n(q) - 2*u(q).\nAnswer: q**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 411*m. Let k be b(1). Let g = -14 + k. Let w = -282 + g. Calculate the greatest common factor of 23 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is dc (base 16) in base 3?\nAnswer: 22011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/sqrt(7))**2 + 1 - (1 + sqrt(33)\/sqrt(3))**2.\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 12 = -3*r, 9*v - 80 = 4*v + 5*r. Let u = -7 + v. Suppose 0*g + c + 9 = 3*g, u*g = 4*c + 8. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 7*g + 10. Let h be j(3). What is the tens digit of (-1064)\/(-72) + h\/(-9) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 51 = -6*x. Let t = -6 + x. What is the greatest common divisor of t and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 760*g. Let v(c) = 998*c**2 - 507*c**2 - 489*c**2. Calculate v(y(f)).\nAnswer: 1155200*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 0 - 40\/3*i**3 + 113\/2*i**2 + 13*i. Find the first derivative of q(k) wrt k.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5 - 1 + 20*u - 4. Let q(a) be the third derivative of a**6\/360 + 11*a**4\/24 - a**2. Let x(c) be the second derivative of q(c). Calculate b(x(g)).\nAnswer: 40*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11325225 and 52070?\nAnswer: 22650450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 1:24 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by -16\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.595718mm in micrometers?\nAnswer: 7595.718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 22 = 3*g - 3*u, 3*u = 15. Suppose 0 = 7*s - 68 - 114. Suppose -g*a + s = -2*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1 (b) 2\/9 (c) -2\/5 (d) -2.5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2.3. Let u = 26.5 + -0.5. Let n = u + -27. What is the nearest to 0 in n, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -12*s + 340. Let n be a(28). Solve -3*m + 5*m + 4*i + 2 = 0, -3*m + i + n = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-12)*-1*354. Let l = 187 - h. What is the remainder when l is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine sixths of a hour in seconds?\nAnswer: 29400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8872 - 8135. Calculate the least common multiple of 201 and b.\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9616 - 9616 + 2173*m)*(4*m**4 + 0*m**4 - 3*m**4) + (m**4 - 3*m**4 + m**4)*(m + 3 - 3).\nAnswer: 2172*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 21 + 33. Suppose 0*p = -z*p. Solve p = -3*m + 4*m + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2396? (a) 2 (b) -3\/5 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*j = -124*j + 884 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*s - 3*p - 0, -13*s - 22*p + 20*p - 41 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -660 by -8731.\nAnswer: 660\/8731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 5*h = -m + 26, 4*m = 5*h + 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 339 + -369. Let n be 4*(-2)\/(5 + 138\/g). What is the third smallest value in 1\/2, -1\/6, n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2)\/t**(-3\/5))**26 assuming t is positive.\nAnswer: t**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -1, -0.069?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l + 413 = -m, 4*m = l - 401. Let v = l + -151. Suppose -2*b + 105 - 25 = 4*q, 0 = 3*b - 5*q - 109. What is the highest common divisor of v and b?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*r - 5*d, 5*r + d = 8 + 6. Let w = r + -8. Let y be (-6)\/(-39)*9\/w. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*g**2 + 4*g**2 + 7*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 544*p**5 - 291*p**5 - 4303*p**5 + (-2*p**3 + 0*p + 0*p)*(-5 + 5 + p**2) - 2*p**5 - 4*p**2 + 4*p**2 - 1 - 2*p**5 + 1.\nAnswer: -4056*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -3*b + 29, 188 = b + o + 181 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110696688 divided by -36.\nAnswer: -3074908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -0.4, -14495, 22?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 17 = 3*g, -5*r - 32 = -5*g + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -100 in 1\/3, 13, -1\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 0.181\nAnswer: -0.00905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v + 37*v + 98 = -4*v for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03971 times -0.5?\nAnswer: 0.019855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2929311340?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x + 20*x + 5*z + 105 = 0, 0 = 2*x - 4*z - 90 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 30. Let a(k) = -2*k. Give a(z(y)).\nAnswer: 2*y - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90 - -90. Solve q = z + 4*z - 3*v - 24, -3*z + 4*v + 21 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.039 (b) 0.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1214 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3) - 28\/(-12). Let a be v\/(-8) - (-63)\/12. Suppose a*y = 30 + 40. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.13 - -0.13. Which is the closest to -3\/5? (a) j (b) 0.5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4237.53687 milliseconds?\nAnswer: 0.000007006509375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -9*a**4\/4 - a**3\/3 - 2*a**2 + 26. What are the prime factors of p(-2)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k. Let u(y) = -y**2 - 10*y. Let i(m) = 15*d(m) - 3*u(m). Factor i(q).\nAnswer: 3*q*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-29)\/(232\/264)*159\/(-9). Is d at least 592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28402, -56827, -85252, -113677, -142102?\nAnswer: -170527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 4878 = 54*c + 36*c - 2260 for c.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 - 49. Which is smaller: 5\/21 or l?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/573480 and -101\/11211534.\nAnswer: 224230680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1104 and -211\/136620.\nAnswer: 546480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*m = 12. Suppose v + 3*s - s = m, -s = v - 5. Let r be 1 + 1*(v + -2). Solve 4 = 3*n - r*x + 10, -n - 8 = 2*x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -212355.63 to the nearest 10.\nAnswer: -212360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -793*v**2\/2 + 56*v - 176. Find the first derivative of g(c) wrt c.\nAnswer: -793","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 6*h + 8. Let u = 1 - h. Suppose 22*d - 25*d = -15. Solve d*f - 2*q = -4*q + 15, u*f = 5*q + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61a5 (base 16) in base 7?\nAnswer: -132610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**4 + m**4 + 0*m**4 + (4*m**2 - m**2 - m**2)*(0 + 2*m**2 + 0) - 188*m + 188*m + 82*m**4 to d*m**4 + g*m**3 + n*m**2 + z + w*m and give d.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3278 divide 173084956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 231*q**4 - 6*q**2 + 3*q - 2 - 230*q**4 - 2*q - q**2 to a*q**4 + z*q + m*q**2 + y*q**3 + f and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1406\/222)\/(-1*4\/(-18)*(-6)\/4).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 8:25 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -16*u - 12. Calculate l(-7).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) + -4 - (sqrt(190)\/sqrt(10))**2*-1.\nAnswer: 15 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29974 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144985?\nAnswer: 5, 107, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from xvzpvgbx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5273 a factor of 765307401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/104)\/(12\/26)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18, -33, -48, -63?\n\"Answer: -15*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7213 (base 12) to base 7\nAnswer: 51102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -16. Suppose -75 = -3*d - c*d. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-10) - 22\/(-4). Let n = c - -7. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0 (b) 705 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9748109 meters to micrometers.\nAnswer: 974810.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.722586 litres to millilitres.\nAnswer: 3722.586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**3 + 125*l**2 + 2280*l - 10800 = 0. Calculate l.\nAnswer: -15, 4, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1056491979 is divided by 234?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f + 6 = 19 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 22 = -50. Suppose -15*y + 17*y - b = 0. Let p(j) = -j**3 + 5*j**2 + 5*j + 6. What is p(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/10)\/((-6)\/(-20)). Let q be (-1)\/(1\/1) - -5. Suppose -38 = -2*k + q*g, z*k + g = 3*k + 34. List the prime factors of k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75776591.\nAnswer: 11, 53, 59, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 14*f**2 + 18*f - 18. What is the tens digit of b(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 a factor of 17059743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2) + 63\/6. Let c be 274\/k + 4\/(-10). Suppose -2*z + c = 3. Solve -5*n - 3*w - z = 0, -5*w = -0*n - 2*n + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d + 3*d + 2*d**3 - 3*d. Let q(g) be the third derivative of g**6\/120 - g**4\/12 + 121*g**2 - 2. What is 4*j(i) - 3*q(i)?\nAnswer: 5*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + n - 3*n)*(5*n**3 - 5*n**3 + 2*n**3) - 7 + 89*n**4 - 75*n**4 + 495*n**4.\nAnswer: 511*n**4 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8)\/((l*(l*l\/l**(-1))\/l)\/l))**(13\/5) assuming l is positive.\nAnswer: l**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1527 + 1616. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11042432 divided by 128?\nAnswer: 86269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 8:12 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from {a: 4, x: 2, r: 1, s: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -15*(-8 - (-138)\/18). Let o(v) = -3*v**2 - 8. Let q(b) = -4*b**2 - 12. Give j*q(r) - 7*o(r).\nAnswer: r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r + 7. Let f be q(4). Let d be (-723)\/6 + f\/(-4)*-2. Let l = d + 193. Calculate the greatest common factor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 2*x**5 - 11*x**3\/3 - 8. Find the third derivative of b(a) wrt a.\nAnswer: 240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -1, -18 in increasing order.\nAnswer: -18, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*o + 4*q, 2*o - 5*q - 2382 + 2390 = 0. Let r(z) = -14*z**2 - 8*z - 7. Let a(p) = -13*p**2 - 7*p - 6. Give o*a(u) - 5*r(u).\nAnswer: -8*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2905022?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 2:53 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -828 + 57. Let q(i) = 4*i - 135. Let j be q(0). Let k = j + o. List the prime factors of k.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5493*m**2. Let n(f) = -5*f**2. Determine l(n(x)).\nAnswer: 137325*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.04 or -32694924?\nAnswer: -32694924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, c: 4, z: 1}. What is prob of sequence yy?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14\/115 - -12\/23. Which is the closest to s? (a) -0.3 (b) 3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 33*b**2 - 174*b + 6. List the prime factors of h(-27).\nAnswer: 2, 3, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -317 + 560. Let h be f\/6 + 2\/(-4). Let n be 27\/36 - 46\/h. Which is the closest to n? (a) -0.3 (b) 1\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 129. Let o be u(0). Suppose 0 = 3*x - 4*r - 566, 0 = 2*x - 4*r - 53 - 315. Let t = o + x. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -247678 + 247637.9844. Let z = m + 40. Round z to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2862329 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u + 28 - 5 - 6 + (-6 + 1 + 4)*(-9*u + 3 - 3) as t*u + c and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -2 + -26 + 1\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72606615*o**2*q - 68032249*q wrt o.\nAnswer: -145213230*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/34 + -749\/7718. Let u = -40 + 39. Do u and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 11*b + 19. Calculate y(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {r: 3, p: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 27*q**2 - 3*q - 34. Give o(-27).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 6 = n. Let g = n - 20. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -6\/41, 60\/7, 0.2?\nAnswer: 60\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/10)\/((-6)\/((-150)\/(-5))). Which is the closest to -1? (a) -0.5 (b) -0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, h: 2, r: 7}. What is prob of sequence rh?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/2 of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -164, -294, -526, -854, -1272?\n\"Answer: j**3 - 57*j**2 + 34*j - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -425 + 430. Let n(j) be the third derivative of j**4\/24 - 7*j**3\/6 + 2*j**2. Calculate the remainder when k is divided by n(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 - 1)\/((-1)\/(-23))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 89 and 13.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1374163042?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s**2 + s + 4*s**2 - 4*s**3 - 9*s**4 + 7*s**4 + 8*s**2 to q + u*s + p*s**2 + f*s**3 + n*s**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 685*h. Let i(b) = 5*b**2. Calculate i(c(y)).\nAnswer: 2346125*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**6\/15 - 13*l**5\/5 + 55*l**4\/6 - 28*l**3\/3 - 290*l. Factor k(o).\nAnswer: -2*o*(o - 1)**2*(o + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -5 + 2 + (-3 - (0 - -31))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 102580*c**2 + 4812608*c + 4710032.\nAnswer: 4*(c + 1)*(c + 46)*(c + 25598)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 5295.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**3 - 5*m**2 - 5*m + 19. Let f(n) = 11*n**3 - 11*n**2 - 11*n + 38. Let a(w) = 6*f(w) - 13*o(w). What is a(0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -47*q + 977. Calculate the remainder when 1690 is divided by t(18).\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-23)\/((-1518)\/44))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -626236 divided by 21.\nAnswer: -626236\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2417278 and 5752.\nAnswer: 1438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 0. What is the second smallest value in p, 0.9, -5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.74 + -4.74. Let o = -12 - -27. Let q = o - 15.3. What is the nearest to -2 in -1\/4, u, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5*l**2\/3 - 12050*l - 21780375 = 0?\nAnswer: -3615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (3 - (3 + (-1 - -5)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3448 + -3429. Solve 31*r = n*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (3 - (-4 + 9 + -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjjj when four letters picked without replacement from {s: 1, j: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 20) + (-24 - -11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eooo when four letters picked without replacement from ooooeoeoo?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z**2 - 4*z - 5. List the prime factors of n(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 96, -4*b - 5572 = 6*c - 5476 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -19 + (-49 - -67) - -4 - (10 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350*a + 693310 = -309*a. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7624453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123 - -146) + 4 + -20 + 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**3\/3 + 7*c**2\/2 - c - 32. What is p(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 - 3*z**2 + 4*z + 2. Let y be v(2). Let n = y - -21. What is the common denominator of (-86)\/(-8) + -1 - (7 - n) and 87\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3157400631.\nAnswer: 3, 7, 11, 617, 22153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/(-18) + 149\/72 and 113\/42?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6289392 a multiple of 926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-333*i**2 + 90 - 67 - 24)*(4*i + 62 - 62) as s*i + h*i**2 + u*i**3 + v and give u.\nAnswer: -1332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 67596685 minus -0.03694?\nAnswer: 67596685.03694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2\/5)\/l)\/l)**(-11))**(-4\/19)\/((l**(-1\/2)*l)**50\/((l\/(l\/l**(1\/4))*l)\/l*l)**(-37)) assuming l is positive.\nAnswer: l**(-29187\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1765, -6946, -15581, -27670, -43213, -62210?\nAnswer: -84661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -31 + (-8 + 28 - 4)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3db572 (base 15) to base 2\nAnswer: 1011010110001110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4433044 (base 5) to base 6\nAnswer: 1353430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuvg. Give prob of sequence gvu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*y + 567 = 27*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*x**2 - 5*x - x**2 - 7*x**2 - 8*x**2 wrt x.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2147*q**3 + 2149*q**3 - 2*q + 2*q.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 172 and 4128.\nAnswer: 4128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 410220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (8\/20)\/(28\/10 - 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -448 = 4*q - 6*q. Let g be q\/6 + (-20)\/(-30). What is the units digit of (6 + -9)*g\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 357429 and 8075622?\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4838 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2847 = 3*h - 2*p + 5*p, 5*p + 973 = h. List the prime factors of h.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10345 (base 7) to base 3\nAnswer: -10112121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 64 - (110 - 25) - -57\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a day in hours?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 23 = -2*w + 3*d, 4*w - d - 19 = 0. Suppose v - w + 0 = 0. Solve m + v = -0*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**5\/11 + 1478*u**4\/11 - 208878*u**3\/11 - 639982*u**2\/11 - 5936*u\/11 + 853320\/11 = 0. What is u?\nAnswer: -2, 1, 195, 547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/461099, -0.1, 8, -1\/5 in increasing order.\nAnswer: -1\/5, -0.1, -4\/461099, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -18*h**2 + 10*h**2 + 6*h**2 - 4 + 5*h**2. Let a(i) = i**2 - 1. What is -4*a(d) + p(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/(-10) - (5 - 5) - 395008\/(-80)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25201.3167 minutes to weeks.\nAnswer: 2.500130625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39.42 - 39.4200009286. Round p to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18201776 to the power of 1\/2, to the nearest integer?\nAnswer: 4266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182\/(1\/1) + -1 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 7. Suppose 2*l - 3*l = d. Find the common denominator of (24\/(-165))\/(l\/140) and 2\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 81434 - 99?\nAnswer: 81335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 271832600 divided by -4?\nAnswer: -67958150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/547 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 11:03 AM?\nAnswer: 206","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -3*i**5\/25 - 3*i**4\/20 + 2*i**3\/5 + 7. Let u(n) = 0. Calculate n.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 113*l**2 - 4*l**2.\nAnswer: -119*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.16 (b) 13 (c) 2\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - -1322233323?\nAnswer: 1322233300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w - 4*u + 78 = 0, 169 = 2*w - 5*u. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 - 337653*w\/4 - 1941637.\nAnswer: (w - 337676)*(w + 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (-25 - -41) - ((2 - 5) + 29).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m + 8. Let i be c(-5). Suppose 0 = -2*b + 2*u - i, -b - 18 = 3*b + 5*u. Let l(h) = -2*h**3 - 11*h**2 - 6*h - 2. Is l(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -96862.\nAnswer: -96861.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**4 + o**4 - 8*o**4)*(5 - 1 - 1)*(-11 - 8 + 40).\nAnswer: -126*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-20))\/(72\/(-160)). Let t(p) = p + 7. Let x = 8 + -13. Let c be t(x). Which is greater: c or u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 4:21 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.35434 to 2 decimal places.\nAnswer: -1.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -419, -917, -1425, -1943, -2471, -3009, -3557?\n\"Answer: -5*c**2 - 483*c + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39375 and 27.\nAnswer: 118125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 10*w + 0 = 17*w - 8*w - 10, 0 = 2*z + 4*w + 20 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**5\/30 - 7*p**4\/4 - 384*p**2. Let y(u) = -3*u**2. What is n(y(l))?\nAnswer: 18*l**4 + 126*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -y + 15 + 17, -8 = -2*g + 2*y. What is the remainder when 12 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**6\/15 - 3*i**5\/10 + 3*i**2\/2 - 6*i + 2. What is the first derivative of x(s) wrt s?\nAnswer: 8*s**3 - 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60987.77 millennia to decades.\nAnswer: 6098777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**3 - 12*n**2 - 100*n + 51*n + 47*n in the form a + m*n**2 + i*n**3 + c*n and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 1. Let w(c) = -c + 1. Let t(u) = -3*u + 2. Let h(g) = 3*t(g) - 8*w(g). Let q(i) = -3*h(i) + 5*r(i). What is the derivative of q(p) wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -7*m - 46 + 469*m**2 - 70*m**2 + 7*m + 16*m. Is s(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and (-68)\/51*10\/(-4)*3.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 78, 115, 150, 183?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 take away -0.0383?\nAnswer: -8.9617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1032, -1016, -1014, -1032, -1076?\n\"Answer: -c**3 - c**2 + 26*c - 1056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 2:07 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (1 - -3) + 0\/2. What is the closest to -2 in k, -2, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1044)\/(-3915))\/(2034\/3255) - (28\/(-18) + 2)?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v + 7. Let q = 12 + -17. Let l = -10 - q. Is 10 a factor of n(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4006819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -8*n + 48. Let o be w(5). What is the highest common divisor of o and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154651355 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*i - 14*i - 39*i - 340 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22442 - 1?\nAnswer: -1.22442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12644730103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*t - 5*m - 3, -4*m - 23 = -5*t. Suppose 6*l + 3*w - 69 = 0, -2*l - 2*w + t*w + 29 = 0. Solve -5*g + l*g = 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*y = 33, 3*k = k - 4*y - 26. Let z be k*((-2)\/(-5) + 0). Is 14 a factor of (-4)\/(-3)*(-21)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (3 + -2 - 18). Let f = -11 + x. Suppose -f*i + 2*i - q = 0, -i = -q. Do -3\/5 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) 3 (c) 2.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**3*k**2 + 25*j**3*k - 3*j**2 + 401*j*k**2 - 2*j*k wrt j?\nAnswer: 6*j*k**2 + 150*j*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -4)\/(5\/(-50)). Suppose 3*p + h = 25, v = 2*p - 0*h - 2*h. Let y = 6 + p. What is the greatest common divisor of 16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5\/7 - 160*t**4\/7 + 312*t**3\/7 + 4*t**2\/7 - 314*t\/7 + 156\/7 = 0 for t.\nAnswer: -1, 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 15. Solve -h + l*h = -6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + z + 1. Let g(q) = -2*q**3 - 9*q**2 + 4*q + 3. Calculate g(h) - 5*k(h).\nAnswer: -2*h**3 - 4*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q + 5 = 0. Let u(g) = -g**2 - 4*g + 6. Let z be u(q). What is the units digit of (-210)\/20*-8*z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86.57+622\nAnswer: 535.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20 + -36?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -7*b**4\/12 + 22*b**2. Let x(h) be the first derivative of -3*h**2\/2 + 6. Calculate r(x(q)).\nAnswer: 42*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -45432, 5, 0, 1, -2, 3 in decreasing order.\nAnswer: 5, 3, 1, 0, -2, -5, -45432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (623\/(-98) - -6) + 1224\/1428.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**4\/12 - 20068*c. Let d(z) = -4*z + 2*z - 17 + 5. Give u(d(y)).\nAnswer: 4*y**2 + 48*y + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9292\/9 (b) 0.4 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2774721 and 201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*l - 6 = 30*l. Suppose 5*y - 104 = 3*p, l*y + 66 = 5*y - 3*p. Suppose -y*t = -17*t - 220. Is t a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + -7 - (0 + -6). Suppose -6 = -2*k + 5*i, 2*i = u*k - 8 - 4. Factor -5*b**2 - b + 2*b**k - b**5 + 5*b**2.\nAnswer: -b*(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 11*f**2 + 30*f + 5. Let i be p(-6). Suppose -5*a = y - 5*y - 14, -i*a + 11 = -y. Solve a*q + 5 = 5*v, -v = 6*q - q + 26 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (42 + 5 - 91).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85946429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -7\/3*i**3 - 1\/2*i**2 - 96 + 0*i. Determine r(2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - 10) + -9 + (-78)\/16?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -92*r + 2*r**2 + 7 - 3*r**2 + 42*r + 43*r. Determine b(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4, 8, 30, 68, 128, 216, 338, 500?\n\"Answer: p**3 - p**2 + 8*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 76*f**2 - 28*f. Let c(g) = 6598*g. Give u(c(s)).\nAnswer: 3308553904*s**2 - 184744*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 13*p - 10736. Is p a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16dbb (base 14) to base 2.\nAnswer: -1110000011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 - 2*l - 2. Suppose 10*y + 4 = 8*y. Give t(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 8*o**2 - o + 8. Let s(j) = 32*j**2 - 3*j + 33. Let d(u) = -2*s(u) + 9*t(u). Let a be d(-7). Let y = a - 128. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101552308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**4\/2 + 11528*i. Let t(d) = -21*d - 5. Let l(p) = 116*p + 28. Let k(o) = -5*l(o) - 28*t(o). Determine k(c(s)).\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26162 and 1470152?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -5 (c) 0.2 (d) 0.02 (e) 1 (f) -1998\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 29*t**2 + 4*t - 50. What is the units digit of k(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17666303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 12*x**3 - 45*x**2 - 83*x - 30. Let l(o) = 9*o**3 + 60 - 17*o**3 + 3*o**3 + 90*o**2 - 20*o**3 + 165*o. Let k(g) = -2*l(g) - 5*v(g). Solve k(t) = 0.\nAnswer: -1, -1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-2 + 8*3). Suppose 4*y = 6*y - q. Suppose h = f + 9, h + y = -f - 2*f. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 + -143)*2\/(-5). Let x = 4 + 8. Suppose -2*n - x = -4*n. What is the highest common factor of o and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -8, 3990, -10 in decreasing order.\nAnswer: 3990, 3, 0, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/12, -0.1, -2, -1.\nAnswer: -2, -1, -0.1, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (288\/(-165))\/3 - (-59)\/((-7139)\/(-22)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 3484827.\nAnswer: 20908962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, i: 3, h: 1, d: 1, n: 1}. What is prob of picking 1 n and 1 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w. Let t(r) = r + 1. Let y(s) = -3*s - 2. Let l = 14 - 12. Suppose d + l*d = 6. Let k(o) = d*t(o) + y(o). Give k(b(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 89?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 10:35 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -348, -1782, -4148, -7428, -11604?\nAnswer: -16658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 110, 122, 148, 194, 266, 370, 512?\n\"Answer: l**3 + l**2 + 2*l + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 5*q**2 + 2*q + 6. Let c be a(-5). Let p = -18 + c. Calculate the remainder when p*3\/(-24)*12 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -55, -9, 2\/2139?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 15*u**2 - 17*u - 1. Is f(-16) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3302 - 4*u**3 + 0*u**3 + 280*u**2 - 5168*u + 4302 + 1644.\nAnswer: -4*(u - 34)**2*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -1. Let n = -4.047 - 0.053. Let c = n + 4. Which is smaller: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 18, -1, 1882037 in ascending order.\nAnswer: -1, 1, 18, 1882037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 151 or 152?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -441445*t**2 + 55*t + 441391*t**2 - 55*t.\nAnswer: -54*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (7 + 0 + 5 + -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.49024 - 0.12626. What is y rounded to two dps?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/54016 and 67\/1912.\nAnswer: 12909824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*l + 28 + 161 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11221, -11312, -11403, -11494, -11585?\nAnswer: -11676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 13605349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, 815.8, -0.4, 2\/19?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 8.5. Let w = i + -3. Which is the closest to 2? (a) w (b) 3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132357 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5404*y = -4521*y + 38852 for y.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, i: 1, f: 1, j: 4, z: 2}. Give prob of picking 1 j and 1 z.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**2\/5 - 8*d\/5 - 32\/5 = 0 for d.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170665?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 + 10 = 0. Suppose s*u - 6*u + h - 2996 = 0, h - 1798 = -3*u. Does 51 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.4, 0.5, -33, -0.1 in increasing order.\nAnswer: -33, -5, -0.4, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 + -51. Solve -s - 2*w + 13 = 0, -4*s + p*w = -9 + 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 6 = 3*o, o + 2*o = 0. Let k = -8 - r. Let g(y) = -7*y + 7. Let z(w) = -13*w + 13. Give k*z(c) + 11*g(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 127682953 to the power of 1\/4, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/1604 and 23\/713668.\nAnswer: 286180868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 13 = -11. Let n(x) = -13*x**3 - 3*x**2 + 2. Let y be n(-1). Calculate the greatest common divisor of d and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 801434.1 days in microseconds?\nAnswer: 69243906240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - l**2 + l - 3. Let w(b) = 2*b + 5. Let h be w(-4). Let s = -39 - -73. Calculate the remainder when s is divided by m(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 237835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -156944.\nAnswer: 156947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1251 (c) -2\/5 (d) 1 (e) -22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -122 or -113?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 39 = -4. Suppose 3 = f - 4*f + q*g, 0 = 2*g + 6. Let j(m) = -m**2 - 7*m + 2. What is j(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 266 and 394592.\nAnswer: 2762144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 509529634 to the nearest integer?\nAnswer: 22573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*v = 19, 3*v - 3 = 3*w + w. Factor 4 - 5*p**2 + 0*p**w + 4*p**2 - 9*p - p**3 + 7*p**2.\nAnswer: -(p - 4)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 2*u + 22, -417 = -3*u - 429 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2086 divide 1480778390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(2*l**3 + 8 - 6 - l**4 - 5).\nAnswer: 2*l**4 - 4*l**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22\/5 - 4\/10. Suppose 7 + 1 = 4*n. Suppose 6*v = -3*p + n*v - t, 2*p + v - 4 = 0. Solve -f - b = -1, -p*f = -3*f + 2*b + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -7. Let f = -25.1 + 24. Let v = -0.7 - f. Which is the nearest to t? (a) 1\/5 (b) 5\/6 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -918421970*q**3 + 243025845*q**2 wrt q?\nAnswer: -5510531820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172737?\nAnswer: 3, 17, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*t - t = 2, -a = -4*t - 1. Let w(z) = 9*z**3 + 4*z**2 - 4*z + 1. Let n be w(a). Is 3 + (-4)\/n + 685\/25 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -10\/9 (b) -3 (c) 1\/5 (d) -12.6 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 177 = 68*o - 69*o, 5*o - 917 = -q. Calculate the greatest common divisor of 3219 and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 4:37 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 10:55 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/21)\/((-20)\/(-30)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -5*k**4\/24 - 13*k**3\/6 + 13*k**2. What is the derivative of b(j) wrt j?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 + 0.8. Let k = 7.95 - -0.05. Let j = 7 - k. What is the biggest value in 2\/7, j, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 6. Suppose t*g + g - 124 = 0. Suppose -2*a + s + 244 = -3*s, -5*s = 0. What is the remainder when a is divided by g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 10:54 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.38 - 0.08. Let u = -8 - -7.8. Which is the nearest to -1? (a) 2\/11 (b) x (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -580 and -580 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9547 - 9546. What is the greatest common factor of 1088 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 - -76149.\nAnswer: 76136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*w - 28546079 = 44873344 + 5361759. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -12*a + 1. Let u(d) = -d. Let o(n) = f(n) - 5*u(n). Determine o(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/3476 and 81\/2212?\nAnswer: 24332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11518*o + 11478*o = -200 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 323, 321, 319?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 7*z + 16. Let i(t) = 6*t + 17. Let f(j) = 5*i(j) - 6*y(j). Let v be f(-3). Solve -5*b + 0 = -v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*h = 690, 3*h + 51 - 33 = 0. What is the greatest common factor of x and 350?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1263.08 to the nearest 10.\nAnswer: -1260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0\/v)**(8\/13)*(v**1*v*v)\/v**(2\/3) assuming v is positive.\nAnswer: v**(67\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/((y**(2\/11)*y)\/y))\/((y\/((y\/(y*(y\/y**35)\/y))\/y*y))\/y))\/(y**36*y\/(y*y**18)*y))**(-3\/31) assuming y is positive.\nAnswer: y**(-555\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 6*x + 203. Let d be 1 + 4 + x\/(-42). Suppose d*l**2 + 0*l - 1\/6 = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.13476?\nAnswer: -0.26952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 51948, 103885, 155800, 207687, 259540, 311353, 363120, 414835?\n\"Answer: -g**3 - 5*g**2 + 51959*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h. Let u be q(-1). Let r(v) = 25*v + 9 - 8*v - 12*v. Let z(n) = 2*n - 4. Let w(s) = -s + 4. Let a(t) = 4*w(t) + 3*z(t). Give u*r(f) - 9*a(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30649 + 63424. What are the prime factors of h?\nAnswer: 3, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -17. Let a(k) = k**3 + 5*k**2 - k + 7. Let g be a(-5). Solve w = r - 5, -c*r + g = 3*w - 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/2550 and -29\/177960.\nAnswer: 15126600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 16*w**2 + 6*w + 8. Let n be u(-2). Calculate the highest common divisor of n and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 6:25 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3095, -12359, -27791, -49385, -77135, -111035?\n\"Answer: q**3 - 3090*q**2 - q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 558\/(-22) - 23\/(1012\/(-16))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 625 (base 14) to base 3\nAnswer: 1122210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 777 + -1?\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/68564 and -19\/29786?\nAnswer: 3633892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (770\/(-176))\/(791\/452)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*l + 5*y - 18 = 26*l, -5*y + 27 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 3:52 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -721541 or -721349?\nAnswer: -721349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*g + 33*g - 2 - 7)*(7 - 4 - 9).\nAnswer: 12*g + 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 12*r**2 - 11*r + 7. Suppose -4*c + 33 = -c. Let q be j(c). Let s = 11 - q. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -10)*4\/6. Suppose 2*k = q*k + 8. Suppose -24*y - 103*y - 5*y = 0. Which is the biggest value? (a) k (b) -0.6 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/(b**(1\/9)\/b*b)*b*b)\/b*b)\/(b*b**(-2\/9)*b)*(b\/b**(-1\/5))\/(b\/(b*b*b**(2\/23))) assuming b is positive.\nAnswer: b**(4552\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 270913\/18 + -15057. Let v = 2\/359 - 23351\/2872. What is the common denominator of v and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 20, -5 in descending order.\nAnswer: 20, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g = -3*t + 23*g + 14, 0 = 4*g - 4. Let x(u) = 3*u. Let y be x(3). Suppose d - y = t. What is the smallest common multiple of d and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h**2 + 7*h - 10. Let s(f) = 4*f**2 - 6*f + 11. Calculate -7*s(w) - 6*x(w).\nAnswer: -4*w**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8 (b) -0.063 (c) -0.5 (d) 2 (e) -1\/5 (f) -172.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -8 - a + 1 - 2. Let p be m(-9). Suppose k - 2*z = 10, 2*k + p*k + 2*z = 8. What is the highest common factor of k and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/4 - (-71 + 63) and 85\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 6*l**2 + l - 6. Let j be h(6). Suppose -6 = -b - s, j = -b + 2*s + 2 + 1. Let u(a) = -20*a. Let x be u(-1). Solve b*z + x = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c - 33*c + 7 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f + 31 - 141 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 - ((10 - 13) + 5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, u: 1, e: 1, d: 11, h: 2, n: 2}. What is prob of sequence adh?\nAnswer: 22\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2181364 - -0.3.\nAnswer: -2181363.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 435*o + 849\/8*o**3 - 150 + 111\/8*o**4 + 3\/8*o**5 - 3243\/8*o**2.\nAnswer: 3*(o - 1)**3*(o + 20)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1913*o**4 - 2*o*y**2 + 3*y**2 - y - 1001 with respect to o.\nAnswer: -7652*o**3 - 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-144))\/(1\/(-2))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 606133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**5\/3 + 14*m**4 - 38*m**3\/3 - 3010*m**2\/3 + 964*m + 5824\/3 = 0?\nAnswer: -16, -13, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - (8 - (-11 - -3))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 215 and 42355.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w + 7. Let q(m) = m + 3. Let a(i) = 4*l(i) - 10*q(i). Let c be a(-3). Let z(d) be the second derivative of -d**3\/6 - d**2 - 2*d. What is z(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-66)\/16)\/(-1) + (-64)\/512. Solve -f + 20 = 4*s, f + 5 = h*s - 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 6. Let v be 0\/(3 + (-16)\/4). Suppose v = -2*i - 2*n - 30, -4*i = -4*n + n + 46. What is the tens digit of c(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -13*z**5\/20 + 29*z**4\/12 + 29*z. What is the third derivative of q(v) wrt v?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 3)*(2 - 5 + 1)*(118*o + 104*o - 176*o - 1) to c*o + j and give c.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*m = -4*m - 3*a, 4 = -4*a. Let l = -139\/5 - -28. What is the third smallest value in m, 2, l, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120778 to the power of 1\/2, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 6. Let s(w) = w**2 - 2*w + m*w. Let k(y) = 8*y**2 - 28*y - 28. Let g(n) = -n**2 + 3*n + 3. Let z(b) = 28*g(b) + 3*k(b). Give s(z(p)).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**2 - 4. Let h = 135694 - 135695. Let z = 6 + -2. Let g(x) be the first derivative of -x - 2. What is h*t(p) + z*g(p)?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n - 34*n - 6701 = -5*u, -4*u + 5366 = 2*n. List the prime factors of u.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d + 1179. Let o(f) = -5*f**2. Give w(o(g)).\nAnswer: 10*g**2 + 1179","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 3*s + 117, 3 = -5*s - 2. Let i = j - 24. Suppose 2*p + 29 = 3*t - 329, -2*t - p + 234 = i. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/7*w**3 + 6\/7*w - 9\/7*w**2 + 0 = 0. Calculate w.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 449054371?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 1. Let s = -1 + 4. What is the nearest to 0 in -2\/13, p, s?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16 + (0 - -1 - -1). Suppose f - b = -f. Suppose 0 = l - 0*l - f. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -1)*860\/6. Round t to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(567) + sqrt(567)*2 + -3)**2*1 + 3.\nAnswer: -108*sqrt(7) + 5110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1525*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1170*o**3 - 10 - 7 - 6 - o**2.\nAnswer: 1170*o**3 - o**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/12 and -13\/23224.\nAnswer: 69672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**3 + 1\/24*f**4 - 27\/2*f**2 + 0 - f. Let k(w) be the first derivative of s(w). Calculate k(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -4*f - 5, 0 = 2*f - 8*i - 1863 + 1855 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 19, e: 1}. What is prob of picking 1 e and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*j, 4*g = 16*j - 20*j + 16 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23284817.\nAnswer: 1433, 16249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t + 28*t - 20 = 2*r, 0 = t + 6. Let c be 7 + (-4 - (-1 - 1)). Suppose -c*y = r - 7. Solve -2*b - y = 9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 11*x**2 + 9*x + 14. Let c be 9\/6*(-40)\/(-6). Let i be b(c). Factor -9 - 7*t + 2*t**2 - 3*t**2 - i*t + 5*t.\nAnswer: -(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0.12. Let h = -0.201 + 0.107. Let w = h - s. What is w rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 647 = -5*u - 639, -2*v - 16 = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2837*m = 3045*m - 3120 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 17954\/(-14325) + 2\/(-25)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.81 + 9703746\nAnswer: 9703744.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*x + 34 = 86*x. What is the closest to 0.3 in -3, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyqoy. Give prob of sequence yn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 - c - 7. Suppose o - 4*o = 9. Let i be f(o). Suppose z - 77 = i. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6067065, 12134188, 18201311, 24268434, 30335557, 36402680?\n\"Answer: 6067123*g - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031553 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3049 (base 14) in base 15?\nAnswer: -26d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g**(-2)\/g*g))*g\/((g*g*g**11*g)\/g) assuming g is positive.\nAnswer: g**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 12:08 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 673200 to the nearest 10000.\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 145, 200, 257, 316?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, 5, -0.039566, 0.2.\nAnswer: -0.039566, 0.2, 5, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007208239 rounded to 5 dps?\nAnswer: -0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 50 = -15*t + 130. Let x(y) = -3*y**3 - 5*y**2 + 1. Let w(f) = f**3 + 2*f**2. What is t*w(d) + 3*x(d)?\nAnswer: -d**3 + d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19\/5, 2\/3, 2.9, -2\/7, -2, -7?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 700623253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*3*2*4*3)\/((-1*sqrt(110)*3)\/(6*(sqrt(11) + (sqrt(11) - sqrt(176) - sqrt(11))))).\nAnswer: 432*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2083 - -1958.2083. Let n = -1958.0000793 + s. What is n rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130288 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5571 is divided by 1833?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2 + -4 + -470)\/(-1) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 35 = 2*z - l, -l + 199 = 5*z. Calculate the remainder when z is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19780990 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (38\/(-95))\/((-3)\/105). Suppose -3 = -3*p + 57. Let l = u + p. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 5*n**2 + 9*n - 9. Let w be s(-7). Let o = 42 - w. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 10004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46401556?\nAnswer: 2, 11600389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9cb5 (base 15) in base 2?\nAnswer: -1000000111011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1593738 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16420, 32821, 49206, 65575, 81928, 98265?\nAnswer: 114586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-2520)*105*(-2)\/65.\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-615)\/1200 + (-2 - 36\/(-15)).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7822 + -929199.\nAnswer: -937021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/(88\/16) - 1\/(-2)*-8606. Is -4302 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*w + 26 - 57, 5*w = -3*n + 5. Suppose 0 = 2*k - 5*i - 37, 0 = 5*k - 2*k + 2*i - 8. Solve -n*r = -2*r + k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**5 + 66*v**4\/5 - 54*v**3\/5 - 48*v**2\/5 + 69*v\/5 - 18\/5 = 0.\nAnswer: -1, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39091409 is divided by 818?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1 + (0 - 2 + 0)*(-6 + 3 + 2) + 2 - 3 - 2 + (0 - 3 + 1)*(-1 + 0 + 3))*(4 - 4 + 2*v**2).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13252 is divided by 23?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 809*z = 799*z + 9520. Let n = z + -3807\/4. Factor -n + 1\/4*d**2 + 0*d.\nAnswer: (d - 1)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 3*n + 0 + 4*n**3 + 8. Let v(d) = -d**2 + 28*d - 124. Let f be v(6). Let m(y) = -y**3 + y**2 - 1. Let r(x) = f*m(x) + g(x). Factor r(j).\nAnswer: -4*j*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 + b**2 - b**2 + (-9*b**2 - b**3 + 9*b**2)*(0 + 0 + 1) + (0*b + 0*b - 2*b)*(35 + 41 + 11)*(-4*b**2 + 4*b**2 + b**2).\nAnswer: -176*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 63 + 21. Let m(a) = 9*a + 19. Let h be m(q). Let v be (2\/8)\/(4\/h) + -3. What is the highest common factor of 6 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 719134273 and 184359.\nAnswer: 719318632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -76125000 to the nearest one hundred thousand.\nAnswer: -76100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 132824431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 46. Let x be 13 + n - (-10)\/7. Sort -0.2, x, -1\/2.\nAnswer: -1\/2, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -31*f + 686. Let i be u(22). Solve -3*l + 6 = -t - 0*l, 4*l - i = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlsxxxxxcsxsxcsxc. Give prob of picking 1 j and 1 s.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/(-3) + (7 - -20*35\/(-84)). Let h(u) = 3*u**3 + 8*u**2 - 8*u - 67. Let a(l) = l**3 + 3*l**2 - 3*l - 22. Determine r*a(p) - 3*h(p).\nAnswer: -p**3 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019114897 to four dps.\nAnswer: -0.0191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 2*u - 2*u)*(-3 - 2 + 3)*(-2 - 3 + 4).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 = 5*b + 5*m, -2*b - 5*m = 12. Is (-4)\/(-3)*30\/b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 157 + -161. Is 3 a factor of ((-7)\/(147\/(-14)))\/(u\/(-54))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10209, -4 in ascending order.\nAnswer: -10209, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d. Let s(t) = -4*t + 12. Let g(k) = -k + 3. Let f(h) = 22*g(h) - 6*s(h). Let x be f(4). Let l(j) = -j**x + 0*j**2 + 0*j**2. Give u(l(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**5\/30 + j**4\/4 - 5*j**3\/6 + 29*j**2. What are the prime factors of u(-5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -190, 3\/13, 25\/9 in descending order.\nAnswer: 25\/9, 3\/13, -1, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j - 41*j - 54 = 0. Let i = j + 29. Suppose -i*a - 4901 = -3*p, 4*a + 0*a = -p + 1657. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 - 69*g + 149*g - 35*g with respect to g.\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52632.\nAnswer: 2, 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.145\nAnswer: 0.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 3*z + 3*z. Suppose -6*s = 3*h - s + 16, 2*s = -3*h - 1. Let o = h - z. Is o at least 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, 4, -3 in decreasing order.\nAnswer: 4, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14717 (base 8) to base 3.\nAnswer: 100001201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d = 7862 - 7934 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by (-18)\/45 + (-84)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.26 or 12970?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 6 + 12 = 3*s, 3*s + 2*h = 0. Let w(b) = -2*b**2 + 0*b**2 + b**s. Let m(i) = i + 2 - 2 + 0. Calculate m(w(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119440, -233768, -348110, -462472, -576860, -691280?\nAnswer: -805738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -62863623 to the nearest one million.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 2:53 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3840682 + 5520682. What is s rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 7*g - 3*g + 12 - 0, 76*w - 79*w = 797*g + 796*g + 3183 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120*b*y**4 - b*y**2 + 21*b - y**4 wrt y?\nAnswer: -2880*b*y - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 25 = 4*j. Suppose 2*p = -i + 5 - 6, -p - 2*i = 8. Suppose p*z + z = j. Which is the third smallest value? (a) -1 (b) -0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 528 - -410. Suppose -10*u + 2763 + 487 = 0. Suppose -f + u = -t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6 - (-102)\/(-68)) + -5*(-96)\/100?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -33 (b) 512 (c) -0.041 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -35*f**2 - 34*f - 88. Calculate r(-2).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 14*a - 60. Calculate p(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3 = -4*a + s, -4*s = 2*a + 12. Let y(r) = r**2 + 3*r + 1. Let z be y(-3). Suppose 3*o = 4*u - 4, 4*o - 5 = 3*u - z. Solve a = -o*m - 0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-13)\/65 + 11\/5)\/(130\/7215). Calculate the greatest common divisor of f and 6660.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 1\/24, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95 + -93. Suppose -4*k - n*k = -1080. Suppose -4*w = -0*w - k. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r + 48*r - 30*r = -8967. List the prime factors of r.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -844 + 830.14. Let n = z - 0.14. Let k = n - -13.99999921. What is k rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 4:14 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -33*t**3 + 56*t**2 + 57*t + 2. Calculate o(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*n**2*r + 6*n**2*t + 2*n**2 - 142*n*r*t + 4*n*t - 12*r - 280*t + 2 with respect to r.\nAnswer: -12*n**2 - 142*n*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 3, 2 in increasing order.\nAnswer: -3, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b - 6. Let a = 1 + -5. Let z be p(a). Is (-315)\/(-6) - z\/(-4) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 + 3*z. Let s(j) = -2*j**2 + 2*j. Let n(o) = -3*s(o) + 2*u(o). Let q(t) be the second derivative of -7*t**4\/6 - 2*t + 4. What is n(q(m))?\nAnswer: 392*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/97111 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -170 + 2*q**2 - 13278*q**4 + 178 - 97*q - 338*q wrt q.\nAnswer: -318672*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 18055*z + 162090.\nAnswer: 5*(z + 9)*(z + 3602)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25100401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 659*q + 13099 = -1399 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22902385, 22902374, 22902349, 22902304, 22902233, 22902130, 22901989?\n\"Answer: -s**3 - s**2 - s + 22902388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 231 - 229. Let o(y) = -y - 3 + 3. Determine o(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05 - 2.95. Which is the closest to -1? (a) -10 (b) r (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21000110 + -2?\nAnswer: -21000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n + 11*n**2 + 879 + 3*n - 879. Let r(k) = -5*k**2. Calculate r(j(w)).\nAnswer: -605*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + (14 - (-37)\/(-2)). What is the third biggest value in n, 8.12, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4378000 + 5*i - 32*i - 4*i + 4377997 to m + c*i and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -19*u + 87. Let q(p) = -9*p + 45. Determine 4*m(z) - 9*q(z).\nAnswer: 5*z - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -477*v - 101. Let a be c(-13). Suppose 133*m - 143*m + a = 0. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-4)*z)\/(z\/(z**7\/z)))**31 assuming z is positive.\nAnswer: z**341","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 417291.4 to the nearest 1000.\nAnswer: 417000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 1109*u**7\/210 - 631*u**4\/12 + 1289*u**2. What is the second derivative of i(z) wrt z?\nAnswer: 13308*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 12 + 41. Let k(q) = q**3 - 109*q**2 - 108*q - 234. Let t be k(110). List the prime factors of (-2*v\/4)\/((-7)\/t).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3276964?\nAnswer: 2, 819241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 390, 1862, 4860, 9828, 17210?\n\"Answer: 74*m**3 + 319*m**2 - 3*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 187*f - 371*f + 3*f**2 + 184*f. Let h(w) = -10*w**2. Determine h(l(j)).\nAnswer: -90*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 + 5*i**2 - 5*i + 4. Let t(f) be the third derivative of f**6\/60 - f**5\/10 + f**4\/4 - 5*f**3\/6 + 21*f**2. What is -5*t(n) - 6*w(n)?\nAnswer: 2*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 0*h**4 + 3*h + 0*h**6 + 1\/3*h**3 + 0 + 0*h**2 + 1\/21*h**7 + 0*h**5. What is the second derivative of y(a) wrt a?\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 325036 + 820*f - 325036 to the form c*f + u and give c.\nAnswer: 820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**3 - 8*x**2 + 2*x + 7. Give o(-3).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -39, 2, 12, 5 in ascending order.\nAnswer: -39, -4, 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4375?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and -186?\nAnswer: -14.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 28*h - 36. Let v be d(29). Let f(w) = -w**3 + 2. Let j be f(2). Let x be j + 4 - (v + -1). Sort 3, x, -1 in increasing order.\nAnswer: -1, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -1\/24*h**4 + 0 + 0*h**5 + 137\/120*h**6 + 0*h - h**3 + 86*h**2. What is the second derivative of b(d) wrt d?\nAnswer: 822*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 186\/(-171)*(-26676)\/(-1368) - -22.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5793903 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -6. Suppose -f*y = -5*u - 20, 3*y = -y - 2*u - 8. What is the closest to -1\/4 in y, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 + (2030355\/15)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j**2 - 2*j**2 + 4*j**2)*(0 - 3 + 1) - j**2 - 2*j + 2*j + (-3 + 3 + j)*(-14*j + 15*j - 17*j) + 2 - 2 + 2*j**2 to u + g*j**2 + a*j and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b - 4 + 2 - 3*b + (-2 - 2*b + 2)*(303 + 36 - 30) as h + i*b and give i.\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1802047 or 1802046?\nAnswer: 1802047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.042 and 16252.\nAnswer: 682.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/9 (b) -8\/17 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -0.5. Let u = 5534 + -5529. What is the fourth smallest value in -0.4, u, -31, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1228 + 0.2772. Sort -0.6, m, -0.3, -3 in decreasing order.\nAnswer: m, -0.3, -0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 336699870?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6*68*6. Suppose 3*u - g - 48 = 0. Suppose -d - u = -3*d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 4*m**2 + 3*m + 7. What is the remainder when d(8) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 206531302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + 2*x - 12. Let g be i(-4). Let q = g - -77. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aeeezao. What is prob of picking 1 z and 3 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 9265*c - 231000. Calculate u(25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -2 + 12 + (-14 - (2 - -45)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*x - 13 + 13 + 3*x**3 wrt x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/207 - (-3)\/(27\/29).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 7*u + 5. What is c(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150259.86729 - 3.78.\nAnswer: -150263.64729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 + 4*r**4 + 0*r**4 - 6*r**4 + 4*r**2 - 4*r**2 + (2*r - 2 + 2)*(0*r**3 + r**3 - 3*r**3).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 54348*i + 326082. Give p(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/5)*q)\/((q\/(q*q**(-1\/5)))\/q)*(q**(9\/7))**(2\/117) assuming q is positive.\nAnswer: q**(1193\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -5*u**4\/24 + 13*u**3\/12 + 3*u**2\/2 + 23*u. Factor k(o).\nAnswer: -(o - 3)*(5*o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -78, -197, -426, -801, -1358?\nAnswer: -2133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g - 2*g - g + 9*g + 12 - 12 + (g - 4*g + g)*(4 - 1 - 1).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/7 - 90\/315. Suppose 4*r - 14 - 50 = g. Solve z - r = 9*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzrkzrz. What is prob of picking 2 z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((11 - (11 - 6)) + -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34410 - 34004. Solve o + 50 = -57*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1860 divided by 109\nAnswer: 1860\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/30 and -44\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 32*h**2 - 3*h - 269. List the prime factors of c(-10).\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77377 + 15*x - x + 0*x + 5*x + 77377.\nAnswer: 19*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 46824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2. Let c = -15 + 27. Let j be (-7 - 15\/(-1))*(-1)\/(-2). Let b(d) = c*d - 2 + j - 2. What is b(u(f))?\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 2188417468527\nAnswer: 2188417468526.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 17*i**2\/2 - 115*i + 143. Let x be v(7). Solve -9*k + x*k + 5 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 11 - 25 = 0. Find the common denominator of x\/30*3\/((-108)\/705) and ((-55)\/(-3))\/((-8)\/(-3)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 18243114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 12*v**2 - 7*v + 10. Let z(q) = -5*q. Let m be z(-7). Let u = 23 - m. What is the units digit of w(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from {d: 5, b: 1, x: 4, i: 3, z: 1, n: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3132 (base 4) to base 3.\nAnswer: -22020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 42\/21473 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 1 - 3*j**3 + 7*j**3 + 5*j**3. Calculate the common denominator of 8\/11 and v(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 900.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from pxppppppppppppxppp?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by 6.\nAnswer: 37\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 75\/15 - 8\/2. What is the third biggest value in n, 0.2, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 3141316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11159 - 23924 + 24*s**2 + 12765.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 + -53. Let j = -0.7 - -3.7. What is the third biggest value in b, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 191873 or 767489\/4?\nAnswer: 767489\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 709473286?\nAnswer: 2, 11971, 29633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**5 - 30*f**4 - 74*f**3 - 18*f**2 + 76*f + 48 = 0. Calculate f.\nAnswer: -12, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 139 + 203. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 4 + 3 + 0*y - 6. Let n(r) be the first derivative of 9 + 1\/2*r**2 + 2*r. Calculate -3*h(s) + n(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46859556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -16 (c) -1\/165 (d) 1145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -3, -26, -71, -144?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 64, 62, 60?\n\"Answer: -2*c + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9246886 millennia to centuries.\nAnswer: 9.246886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*m + 48 - 48)*(-2*m + m + 0*m) + 2*m + 1 + m**2 - 1 in the form l*m**2 + c + b*m and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-3\/5)*f**(3\/4))**(2\/67))**(-42) assuming f is positive.\nAnswer: f**(-483\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wswwsw. Give prob of sequence sws.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*s + 9*s - 10*s)*(-1 - 4 + 3) + (-5*s - s - s)*(1 + 0 - 3).\nAnswer: 44*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 46.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14382 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + n + 11 = -0*n, -14 = -2*c - 2*n. Is c\/(-9) + 9 + (-73645)\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*b + 233*b + 450*b + 804 = 581*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.8244961 to zero decimal places.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -27900 divided by 5580?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 2. Let q = -133 - -142. Determine c(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-500)\/(-60) + -13)*18\/(-7). Solve 66 = j*k - 42 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443058488.\nAnswer: 2, 17, 3257783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - m**2 - 2*m**2)*(-3*m**2 + 3*m**2 - 4*m**2) + 3*m**4 - 3*m**4 - 7*m**4.\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21595 - 21763 = -14*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 555234.3 litres to millilitres.\nAnswer: 555234300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -394, -398, -404, -412, -422, -434, -448?\n\"Answer: -b**2 - b - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*l - 112*l - 112*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 227312.6ml in litres?\nAnswer: 227.3126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 9 = 6*j. Suppose -8 = 2*v, 0*d + 393 = j*d - 3*v. List the prime factors of d.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1478 and -111\/10?\nAnswer: 7390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a + 3a?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 3276?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 0 - (3 - 5)) + 0. Let j be 3*2\/s*12\/18. Solve -5 = -q + j*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2310 + 13961\/6. Calculate the common denominator of -46\/21 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 9*p**5\/10 - 25*p**4\/12 - 36*p**2. What is the second derivative of k(r) wrt r?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3188 - -3189. Which is greater: 94\/9 or k?\nAnswer: 94\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-3 + 9))\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*s + 66*s + 2*o + 18 = 0, -3*s - 3*o - 21 = -12*o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 2310*c**3 - 1105*c**3 - 3 - 4.\nAnswer: -3415*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14151 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -129, -1951, -4983, -9231, -14701, -21399?\n\"Answer: -x**3 - 599*x**2 - 18*x + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -20, -16, 367 in decreasing order.\nAnswer: 367, 3, 2, -16, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*g - 5*q, -4*g + 5*g - q = 1. Let p(n) = 4*n - 12. Let s be p(10). Suppose 6*t - s = 2*t. Solve t = -g*z + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2476900 rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 5*y**2 + 2*y - 2. Let j be i(5). Let s be 582\/j*(-22)\/(-4332). Let l = 2\/361 + s. Which is the nearest to -1? (a) 1 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 196 - 191. Let i be (1\/(x\/(-42)))\/(47\/(-235)). Suppose 5*f - 30 = 4*j - 0*j, -4*j = 4*f - 24. Calculate the greatest common divisor of f and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3189100 and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**2 - 2*a**2 - a**2 + (-2 + 4 - 1)*(4*a**2 + a**2 - 2*a**2) + 35*a**2 + 520*a + 80*a**2 + 501*a - 978*a - 21*a**2 as l*a**2 + t*a + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1501 - 1472. What are the prime factors of d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 3*c**2 + 7*c - 40. Let h be u(-6). Calculate the highest common divisor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3731*r**2 - 940. Let h(k) = 1245*k**2 - 314. Let b(a) = 11*h(a) - 4*x(a). Differentiate b(p) with respect to p.\nAnswer: -2458*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -3, 0.01, 1\/5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 398?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2 of a gram in milligrams?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bov when three letters picked without replacement from {b: 1, o: 2, v: 1, z: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*l)*(0*l + 0*l + 12*l) - 4 - 2652*l**2 + 5300*l**2 - 2651*l**2.\nAnswer: -27*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.7 - -3. Let v = -3.875 + -0.125. Put -5, s, v in descending order.\nAnswer: s, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + sqrt(2299)*1)**2 + 2 + (5*((sqrt(114)*-1 - sqrt(114)) + sqrt(114) + sqrt(114))\/sqrt(6) + 6*sqrt(19)*1 + -4)**2.\nAnswer: -180*sqrt(19) + 3037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29077469 or -29077460?\nAnswer: -29077460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -w - 10. Suppose -3*d = 3*o - 876, 5*o - w*d - 1410 = -0*o. Suppose -2*a - 5*a = -o. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240, -1293, -3142, -5763, -9132, -13225, -18018?\nAnswer: -23487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 41832472*y**3 + 5*y**2 - 4*y. Let t be v(1). Let c = -99112473 + t. What is c rounded to the nearest one million?\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - f - t - 265, -3*t + 115 = -2*f. Let w be (2\/(-5))\/(f\/(-25)). Suppose -5 = 4*m + 11. Which is the smallest value? (a) -3 (b) m (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.73155 days in milliseconds?\nAnswer: 840805920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53\/6 - -10. Calculate the common denominator of -35\/2 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*13\/(-5)*((-14)\/(-3))\/((-35875)\/153750)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -1 - (0 - 4 - (188 + -268) - -17)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 156988024?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x - 4. Let f be m(3). Suppose 1 = f*y - 1. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -3*n + 8932 - 8905, 5*n + a = 17 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, f: 6, w: 7}. Give prob of picking 2 f, 1 t, and 1 w.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -55*z. Let v(s) = 111*s - 1. Let d(p) = 5*k(p) + 2*v(p). Let i be d(6). What is i rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, s: 1, k: 1, z: 2, x: 2}. Give prob of sequence kys.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165 + 7*c + 152 + 331.\nAnswer: 7*c + 648","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 9:58 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(20)\/(sqrt(4)*1))**2 - ((sqrt(5) + 2 + 1)**2 + (sqrt(5) + sqrt(125) + -3)**2 + sqrt(5)).\nAnswer: -78 + 29*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2106 and 159.\nAnswer: 111618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - v - 1. Let j(b) = 1 + 0*b - b + 2*b + 2*b**2. Let f = 7 - 6. Calculate f*u(w) + j(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 119519 + -11.789?\nAnswer: 119507.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -53, -114, -177?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 12*k + 5*a - 2 = 0, 4*k = 2*a + 28. Suppose 0 = -w + 5*w + k*w. Let j(h) = -h**3 - h**2 + h - 26. Calculate j(w).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -302133 (base 5) in base 10?\nAnswer: -9668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 283, -1, -285, -569, -853?\n\"Answer: -284*b + 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 m when three letters picked without replacement from {l: 1, m: 7, u: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) -1\/8 (c) 0.1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((216\/(-150))\/6)\/((-219)\/(-730))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + 0.2. Let v = l + 0.3. Let i = -0.1 + 0.1. Which is the second smallest value? (a) -2 (b) i (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + x - 14114784 + 14114801 = 0, -2*l + 8*x = 44 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -41, -35, -29, -23?\n\"Answer: 6*g - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 3*a + 2*a)*(-2 - 2*a + 2) + (2*a - 3*a - a)*(a + 2*a - 2*a) + 2*a**2 - 3*a**2 + 0*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyfyyyyyffyhhyyf. Give prob of picking 4 y.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 255413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 324869658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a millennium in centuries?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55142187 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2868269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 26 = 3*c, 3*y + 62*c - 67*c + 20 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145.6616*0.5.\nAnswer: -72.8308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1470*s - 104 + 1767*s - 2995*s.\nAnswer: 242*s - 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6305923 to the power of 1\/2, to the nearest integer?\nAnswer: 2511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3258 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + w**2 + 1. Suppose -2243*p = -2248*p + 280. Let c(i) = p - 42 - 16*i**3 - 7*i**2 + 21*i**2. What is -2*c(y) + 28*n(y)?\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3105569533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r + 42*r + 103*r)*(0 - 2 + 4)*(1 + 1 + 1).\nAnswer: 924*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2)**(2\/65)\/(b\/(b\/b**(-7))*b*b**(-1\/3)))\/((b*b\/(b*b**(2\/5))*b)**(-31\/3))**(3\/4) assuming b is positive.\nAnswer: b**(733\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 8. Suppose -213 = -4*u + 3*i, -2*i = -6*u + 5*u + 57. Suppose 3*a - u = 219. Calculate the greatest common divisor of k and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*b**2 + 39*b.\nAnswer: -3*b*(3*b - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 85833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4521 and 33?\nAnswer: 4521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115840?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1096 - -4387\/4. Solve -3*n + 15\/4*n**2 - j*n**3 + 0 = 0 for n.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*q**2 - 178*q**2 + 39*q**2.\nAnswer: 104*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 510 = 3*j + 3*i + 48, 3*j - 3*i - 444 = 0. Is 150 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(272)\/(sqrt(8)*-5) - sqrt(34)) + sqrt(34) - sqrt(34))*-3)\/((sqrt(112)\/sqrt(343))\/sqrt(8)) + 4)**2.\nAnswer: 1008*sqrt(17)\/5 + 270292\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*s + 1122 = 0, 0*h = 2*h - 5*s + 733. Let o be ((6 - 3) + -5)\/(2\/h). Let t = 190 - o. Round t to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-13 + (30 - 11)) - (-15 - 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 - 1157792*j + 1157793.\nAnswer: -(j - 1)*(j + 1157793)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 486 and 0.1.\nAnswer: 48.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*u)*(2 - 3 - 1)*(-8*u + 8*u**2 + 7*u - 2*u**2).\nAnswer: 24*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2315 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 6:33 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*j - 5 - 33 = 0, 0 = 4*j + 8. Let r = 304 + -253. What is the greatest common divisor of m and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 93.946km?\nAnswer: 9394600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1588, 3047, 5474, 8869, 13232, 18563, 24862?\n\"Answer: 484*v**2 + 7*v + 1097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*u**4 + 1 - 5*u**4 + 8 wrt u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1397391000 rounded to the nearest one million?\nAnswer: 1397000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/78 and 85\/4.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((80\/(-30))\/(-8))\/((-2)\/(-8))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 55 = 3*k. What is the third derivative of 10*s**4 + 5*s**k - 4*s**4 - 3*s**4 - 14*s**2 wrt s?\nAnswer: 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 0.3 (c) -5 (d) 3\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 12:25 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16, -2, 0.6?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -20404 at most -20405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 5*k - 648. Let f(x) = 6*x**2 + 27*x + 3244. What is 2*f(z) + 11*m(z)?\nAnswer: z**2 - z - 640","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 766*j**2 + 811*j - 3. Let b(u) = -768*u**2 - 810*u + 4. Let h(f) = -3*b(f) - 4*d(f). What is the second derivative of h(t) wrt t?\nAnswer: -1520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 5*m**2 + 10*m + 9. Let i(a) = -4*a + 6. Let v be i(3). Calculate r(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*p = 18*p - 50*p + 27 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((s**4 + 0 + 0)*(-6 + 2 + 1) + 7*s**4 + 0*s**4 - s**4)*(144 - 125 - 125 - 180).\nAnswer: -858*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -4*t**6\/15 + 7*t**5\/15 + 4*t**4\/3 - 14*t**3\/3 - 2343*t**2. Factor x(c).\nAnswer: -4*(c - 1)*(c + 1)*(8*c - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2 - 59*y - 1 + y**2 + 48*y. Let n be z(11). Solve -3 = q - w - n, 4*w - 12 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 20, 4\/7, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - l**2 - l - 1. Let m(j) = -j**4 + j**3 - j - 1. Let r(w) = m(w) - q(w). Factor r(z).\nAnswer: -z**2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2, 9332 in descending order.\nAnswer: 9332, 10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/7))**(-50)*(i\/i**(3\/7)*i)\/(i**(-2\/9)\/i)*((((i\/i**5)\/i)\/i)**(-2\/81))**45 assuming i is positive.\nAnswer: i**(-3454\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 9:54 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4)*i)**(-8\/7) assuming i is positive.\nAnswer: i**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -103, -376, -919, -1822, -3175, -5068, -7591?\nAnswer: -10834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13)\/65 - ((-42)\/10 + 0). Let w(l) be the third derivative of -l**5\/60 + l**4\/12 + 2*l**3\/3 - 14*l**2. Determine w(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -8051290\nAnswer: -3220516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 796681?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 14) to base 8\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8 - 0.2. Suppose -28 = -23*k - 51. Let w = 0 - -0.1. What is the third smallest value in w, k, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 7 + 0 - (5 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 70\/37 (b) -0.207 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 52770 + -1e?\nAnswer: 52751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 23*q - 17. Let w(s) = s**2 + 22*s - 16. Let z(v) = 6*l(v) - 7*w(v). Let d be z(-16). What is the lowest common multiple of 18\/4 - d\/20 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3769?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6762925, 6762924, 6762923, 6762922?\nAnswer: 6762921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 0.3. Let t = 1\/1227 + 4901\/8589. Which is the nearest to v? (a) -0.2 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**4 - 6*r**3 + 4*r**2 + 2*r - 5. Let z(f) = f**4 - 7*f**3 + 5*f**2 + f - 6. Let m(l) = -3*u(l) + 2*z(l). Find j such that m(j) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 3*l + 2 - 2.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/8)\/((-2)\/4). Suppose -b + 2*m + 18 = 0, m - 70 = -t*b - m. Suppose -3*n = -b - 41. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 3*p - 2*p)*(-1 + 1 + p**2) + (-4*p + 2*p**2 + 4*p)*(-4*p + 2*p + 0*p).\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 6 - 4)*(8 - 7 - 10)*(-2*r**2 + 0*r**2 + 4*r**2) as h*r**2 + i + p*r and give h.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 11*x - 11. Let s(b) = 17*b - 17. What is -5*s(c) + 8*t(c)?\nAnswer: 3*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c**3 - 13*c**3 + 3*c**3 - 4*c**3.\nAnswer: -32*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -1 (c) 8 (d) -8.74 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*1*(-1*sqrt(4) + sqrt(4)))\/(sqrt(16)\/(-5*sqrt(16)\/sqrt(2))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = a + 525. Let d = -330 - a. Let r be 5*5 + 0 + 0. What is the highest common factor of d and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2 = -8. Let g = 1 - -4. Suppose -2*k - k = 2*w - 47, -g*k + 85 = a*w. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**3 + 38*s**2 + 41*s - 3. Let x be b(21). Let y = -895 - x. Let z(d) = -d - 9. Give z(y).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115336 is divided by 1942?\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -713, -165, 349, 811, 1203?\n\"Answer: -3*u**3 + u**2 + 566*u - 1277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 - 10) + 550\/228. Let a = -2\/627 + y. Calculate the common denominator of -65\/4 and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20651, 20701, 20737, 20765, 20791, 20821, 20861, 20917?\n\"Answer: j**3 - 13*j**2 + 82*j + 20581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369 - 26 = -49*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9083?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**5\/60 + i**3\/6 - 15*i**2 + 2*i + 18. Suppose 3 = l + 5*t, -3*t + 2 = -l - 3. Calculate p(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701 is divided by (3\/(-4))\/((-13)\/((-28600)\/(-30))).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7155439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 362569 + 12?\nAnswer: 362581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/((-8)\/36))\/1. Let s be h\/(-4) - (-10 + 5)\/(-20). Which is bigger: s or -9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 14*j - 122495 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11858308 times 0.1\nAnswer: 1185830.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4*s\/(s\/((s\/(s*s*s*s**(3\/10)*s*s*s))\/s)))**(-1\/9) assuming s is positive.\nAnswer: s**(23\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -17.6041.\nAnswer: -17.9041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 60559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -125.5, 299?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -139 + 135 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13152 and 117007179?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v - v**2 - 2 - 6*v - v - 3. What is the tens digit of o(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/192*4*-12*-6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*g - 0*g. Let y = 2 - g. Is -1 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3247352 rounded to the nearest ten thousand?\nAnswer: 3250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (6\/(-2) + 6)*120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -12, 3*r + 46*k + 11 = 45*k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j*j**6*j)\/j)\/j*j**3)**22\/(j**(-3\/5)\/j**(2\/7))**(-11) assuming j is positive.\nAnswer: j**(7359\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (0 + 7 + -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5 = -j, 4*t = -3*j - 0 - 5. Suppose -4 = 5*y - 2*f, 5*f = 2*y + 3*f + 4. Let w = y - t. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**4\/2 - 119738*r**3 + 239478*r**2 = 0.\nAnswer: -239478, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2743 or 2744?\nAnswer: 2743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 4*o - 1 + 2*o**2 - 1)*(-11*o**2 - o**2 + 2*o**2) + 122*o**2 - 7*o**4 - 122*o**2.\nAnswer: -27*o**4 - 20*o**3 + 20*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47107454, -47107457, -47107462, -47107469, -47107478?\nAnswer: -47107489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2312131 - -222?\nAnswer: 2313013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(-1 + (-2)\/(-1)). Suppose -5*d + 4*n = -0*n + 16, 16 = -q*d + 4*n. Suppose 0 = 3*i - 9 + 3. Solve -i*x - x - 15 = d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 0*f**3 - 11 + 5\/6*f**6 + 0*f**2 + 0*f + f**5 - 5\/2*f**4. Solve y(b) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 333878 and 556?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*-4*sqrt(110)*2)\/(((sqrt(490)*-2 - sqrt(490))*6 + sqrt(490))*-4).\nAnswer: -24*sqrt(11)\/119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-175)\/266)\/5*4\/1. Is d greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -210*y + 4935673 + 1452947. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 - 3*i**3 + 2*i**3)*(2 + 0 + 1) + (23304 + 2799*i - 23304)*(3*i**2 - 2*i**2 + 0*i**2).\nAnswer: 2796*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2019\/11 or 183?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -7, -5, -1\/6, 0.0161, -256?\nAnswer: 0.0161","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.141 - -0.641. Let z = -1.3 + 7.8. Let u = w + z. Sort -1\/3, -3, u.\nAnswer: -3, -1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4)*-32 - -167. Calculate the highest common factor of 6 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26\/31451 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 28. Let c = 24 + x. Suppose -2*f + 4*n - 8*n = 14, 5*f = -4*n - 5. Calculate the remainder when f is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + p + 2 + 1 - 1 + 2*p + (-2 + 1 + 0)*(-1 + 1 - 2*p))*(-16 - 10 + 7)*(-4*p + 4*p - p).\nAnswer: 95*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103 - 52. Let w = v + -78. Calculate the remainder when 31 is divided by ((-18)\/w)\/(2\/51).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 7781.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 464 and 65975.\nAnswer: 1055600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o + 5 + 3*o**3 - 22 + 8 + 10*o**2. Let p be w(-4). Let m = 53 + p. Solve j + 3 = 2*y - 5, 0 = -y - 2*j + m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2\/7 + 20204*d\/7 - 1363910 = 0 for d.\nAnswer: 497, 9605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (2 - (-3 + 6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-one halves of a hour?\nAnswer: 55800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from cessccqssssegssgcc.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5952 - 5952. Let v(g) = g + 5. Let n be v(-4). Let y be 0 - (-5 - (-2)\/n). Solve l = u - y*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2204703 (base 11) in base 10?\nAnswer: 3871398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -31138135.\nAnswer: 3\/31138135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 298677455?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 k, and 1 f when three letters picked without replacement from {z: 1, k: 4, e: 3, f: 1, r: 4, h: 5}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - q + 3 + 0*q)*(-6*q**4 - 3*q**4 + 22*q**4) + (0*q**3 - q**3 + 3*q**3)*(q**2 - q**2 + q**2).\nAnswer: 15*q**5 + 39*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57062289 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 97606 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.063 + 0.087. Let n = g - 1.150099. Round n to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b05375 (base 12) in base 14?\nAnswer: a9305b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8310, -8519, -8732, -8949, -9170?\nAnswer: -9395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 1436*p - 7173. Calculate o(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 1 + 8*h**3 + 7*h**2 + 8 - 1. Let s be (5\/(-15))\/((-1)\/6). Let l(r) = -r**3 + 4 + 12*r**2 - 5 - 13*r**s. Give 6*l(b) + v(b).\nAnswer: 2*b**3 + b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1978116 - 10964*x - 1978116.\nAnswer: -10964*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49110 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 35365.\nAnswer: 35366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3279 - -6971\/2. Let b = d - 211. Find the common denominator of b and (-202)\/(-8) + -1 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149931141 divided by 111.\nAnswer: 1350731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**3 - 25*z**2 + 7*z + 16. Let d be t(8). Sort 0, d, -22 in ascending order.\nAnswer: -22, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -503 - -3540. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 + g**3 + 7*g - 8*g)*(30 + 8*g - 30).\nAnswer: 8*g**4 - 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 3, -2\/11, 0.13, 1, 16?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 6:12 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57699306 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421401 is divided by 218?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8915503\/15 + -594098. Let l = -269 + k. Let f be 24\/(-18)*2\/12. Which is the third biggest value? (a) f (b) 0 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*n + 1728 = 55 - 108 - 139 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (234\/(-156)*184\/3)\/1*(-2)\/8?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -34, -19, -2, 17, 38?\n\"Answer: y**2 + 12*y - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.056 - 0.144. Put m, -1, 2 in descending order.\nAnswer: 2, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3915519 or -3915518?\nAnswer: -3915518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5576544 by 2601.\nAnswer: 2144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-4109\nAnswer: -4108.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*u - 3, -u + 2*z - 5 = -20. Suppose -4*o - 1 = -u. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189 - 11*n**3 + 44*n**3 - 163 + 353.\nAnswer: 33*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.5 - -2.8. Let n = s - 4. Let w be (84\/105)\/((-2)\/5). What is the biggest value in n, w, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -273 - -3005\/11. Suppose -4*s = 12, 906 = -5*r + 3*s - 175. Let n = r - -1964\/9. What is the second smallest value in c, n, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204 and 288?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 4) to base 7.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 11:22 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1437363276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 2:05 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 3*j - 3. Let n be s(-2). Let w = n + -3. Suppose 8 + w = v. Calculate the remainder when 22 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from xasxsuaraszzsxr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16497, -1374, 23831, 59118?\nAnswer: 104487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -4*r - d, 4*r - 2*d + 0*d + 52 = 0. Let s(q) = -q**2 - 21*q - 98. What is the remainder when 32 is divided by s(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -333*n - 992. Let z be r(-3). Solve 5*g - 2*f - z = 0, 10 - 2 = 4*g - 4*f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.450946ml?\nAnswer: 0.009450946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1982.395 to the nearest 10.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -25*s**2\/2 - 62. Let c(z) = -6*z**2. Give f(c(p)).\nAnswer: 150*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f + 3*f**2 + 2*f**2 + 8*f - 16*f in the form n*f**2 + i*f + g and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 28*l**2 + 6*l + 6. Let h be k(-1). Solve 26 = -h*p + 15*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/5))\/o*o**(-3)\/o*o**(-5)*(o\/(o*o**(1\/9))*o)\/o assuming o is positive.\nAnswer: o**(-428\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -2, 16 in decreasing order.\nAnswer: 16, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17473 - -17559. Calculate the smallest common multiple of a and 50.\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**4\/6 + 11*n**3\/3 - 67*n**2. Let j(b) = -b - 6. Let v(o) = -22*j(o) - 6*s(o). Let q(p) = -3*p**2. Give q(v(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + 0*9\/(-54). Solve -5*n + 1 = 5*a - 14, -2*n + 4 = o*a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -9\/7, -11, -1\/3, -1\/2, -7 in decreasing order.\nAnswer: -1\/3, -1\/2, -9\/7, -7, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552*h + 1174*h + 470*h = 298*h - 74022 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*u - 42*u + 102*u + 300 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**2 + 6*d**2 - 17 + 4)*(2*d**3 - d**3 + d**3).\nAnswer: 2*d**5 - 26*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1467065 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 + -2.4872760119?\nAnswer: -56.4872760119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 + 4*s**3 - 3*s**3 + (4*s - 4*s - s**2)*(-2*s + 0*s - s) - 15 + 18*s**3 - 23*s**3 + 19 to d*s + g*s**2 + y*s**3 + i and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(18)\/sqrt(36)) + (sqrt(8) + -4 - sqrt(2)) + 5 + (sqrt(8) - sqrt(2)) + (sqrt(16)\/sqrt(8) + 2)**2)*6.\nAnswer: 42 + 39*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 - 9*a + 10. Suppose -4*o - 5*s + 40 = -2*o, -2*s = -8. Let i be c(o). What is the greatest common factor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132)\/(-28) - 6\/(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2 = 7. Let s be -1 + ((-20)\/(-4) - 2). Let v(z) = z**3 - 4*z**2 + 2*z + 1. Let u be v(s). Sort u, f, 2.\nAnswer: u, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o**2 - 16\/7*o - 84*o**3 + 0 - 98*o**4 = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -24*n**6 - 2*n**5 + 9*n**2 - 2. Let w(z) = -71*z**6 - 7*z**5 + 27*z**2 - 7. Let r(y) = -7*s(y) + 2*w(y). What is the third derivative of r(g) wrt g?\nAnswer: 3120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73552 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 71612, 143123, 214634, 286145, 357656, 429167?\n\"Answer: 71511*z + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -176 bigger than -0.0686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 3*a + 100. Let f be ((-4)\/(-5))\/(4\/a). Suppose -i - f = -9. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b = -16. Suppose -r - 4*o = 0, 5*r - 2*o = o + 46. What is the remainder when r is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p + 5*p + 0*p - 6*p + 5. Let b(r) = -7*r + 9. Give -6*b(d) + 11*o(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1422072 or -1422071?\nAnswer: -1422072","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-384)\/16)\/(-72) - (-430)\/6. Does h = 79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001457167 to seven dps.\nAnswer: 0.0001457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766386351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*m = -200*m + 404*m - 11214 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 500 = 34*q. Let v(x) = -x**2 + 28*x - 17. Does 18 divide v(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23754.236264 to the nearest one hundred.\nAnswer: 23800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 196905959 to the power of 1\/2, to the nearest integer?\nAnswer: 14032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*g - 32 = 5*v, -2*g + 5*v + 28 = 0. Suppose 2*u + 0 = g. Let a be (200\/u)\/((-1)\/(-58000)). What is a rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0.29, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k*n - 3737*k + 16*n wrt n?\nAnswer: 2*k + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + z + 2. Suppose -4*i = -16, -3*p - 12 = 2*p - 3*i. Let h be m(p). Let l be ((-10)\/25)\/(h\/(-20)). Sort l, -2, -1.\nAnswer: -2, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 973143*d**2 - 6*d + 6*d - 973025*d**2.\nAnswer: 118*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 7*l + 3. Let d(x) = 698 + 699 - 6*x - 2107 + 706. Give -3*b(a) - 2*d(a).\nAnswer: -9*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 185738669?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2978898 rounded to two dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 43 = 35. Let m be (-125)\/45 + a\/(-9). Let z = m + 21. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + 2)*12\/(-10). Let b(n) = -n + 2. Let g(z) = -9*z + 41. Let d(v) = 18*v - 86. Let s(m) = -6*d(m) - 13*g(m). What is h*s(r) - 51*b(r)?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*z**2 + z + 13772*z**3 + 12*z**2 + 10*z**2 - 13775*z**3 to the form v*z**3 + n*z + d + w*z**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -83835\/17 or -4932?\nAnswer: -83835\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41\/5 > 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -15*k - 7. Let i(a) be the third derivative of -a**4\/3 - 2*a**3\/3 - 5*a**2. Calculate -6*d(b) + 11*i(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -420 + 439. Suppose x*l - 56 = 33*l. Sort l, -2, -5, -3 in descending order.\nAnswer: -2, -3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 624, 659, 684, 693, 680, 639, 564, 449?\n\"Answer: -h**3 + h**2 + 39*h + 585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27763703579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1260*n = 1248*n + 24 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v + 23*v + 34 - 4 = 0 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 0*o**4 + 37\/2*o**2 - 2\/3*o**3 - 36*o + 0 + 0*o**5 - 1\/10*o**6. Differentiate u(p) with respect to p.\nAnswer: -12*p**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-6)\/3 - -6. Let k be 33\/(-7) + 2 - c\/14. Let m = 3 + k. Solve 0 = -4*b - m*b + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 9*k - 105. Let y = 0.904 + -1.304. Which is the second biggest value? (a) k (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(880) - sqrt(880))*-4 + 6*((sqrt(880)*-2 + sqrt(880) - sqrt(880)) + sqrt(880)))\/(2*(4*(sqrt(500) - sqrt(500)*-2) - sqrt(500))).\nAnswer: -6*sqrt(11)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10509432 and 1186968.\nAnswer: 8664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0*d + 5*b + 94, -3*d - 3*b + 354 = 0. Suppose 4*p - 22 = d. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jju when three letters picked without replacement from {j: 15, u: 3}?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -26*h + 69. Give s(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 17*s - 99. Let g be n(13). Let j = 125 - g. Calculate the greatest common divisor of j and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033833 times -24349?\nAnswer: -823.799717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**6\/90 - z**5\/120 + z**3 + 3*z. Let b(q) be the second derivative of r(q). Find the second derivative of b(a) wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4843 rounded to the nearest one hundred?\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1314347, 2628695, 3943043, 5257391, 6571739?\n\"Answer: 1314348*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 8 + -17 - -5) + (-24 - 0)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -2*i - 2*z - 264, -4*i + 218 = -5*z. Calculate the remainder when i is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(60)\/sqrt(5))*2)**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 2:39 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, h: 3, o: 1, d: 4, g: 2, m: 4}. What is prob of picking 1 m and 1 k?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-80 - (-11 + -4)) + (-6 - (4 - 5))\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 - ((-70 - -120) + -70 + (0 - -7)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + sqrt(49)\/sqrt(28)) + -3.\nAnswer: sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/3)\/u)\/(u\/(u*u\/u**0)))**(-12)*((u\/(((u*((u\/u**(2\/17))\/u)\/u*u)\/u*u)\/u))\/u**(-1\/5))\/((u**(-2\/3)\/u)\/u)**(-47) assuming u is positive.\nAnswer: u**(-35704\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-404.\nAnswer: -40.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 940?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 19. Let a be f(-9). Suppose 0 = -u + 9 + a. Solve 0 = 3*b - 3*w - 3, -b - 4*w - u = -0*w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32\/7 - (-16)\/(-28). Suppose 3*r - 390 = -j*v, 0*v + v + 2*r = 100. Is 32 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 7*w - 18. Let y be d(-7). Let b be y\/(-8)*96\/36. Let j(h) = -75 - 73 + 147 - b*h. Let l(r) = -r. What is l(j(n))?\nAnswer: 6*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40185 and 450?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (30\/(-14136))\/((-3)\/240). Let u = z + -2\/31. Let -u + 4\/19*h - 2\/19*h**2 = 0. What is h?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yojevju. What is prob of sequence voe?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -z - 28, -74 + 2 = -4*t - 4*z. Calculate the remainder when 81 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 125*t - 71 - 804 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 48*i**2 + 12. Let t be a(48). Let p be (-5*t\/10)\/(-2). Solve 8*j + 15 = p*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43004067 is divided by 21502026.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 200122200?\nAnswer: -200122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**5\/170 - 37*a**4\/51 - 76*a**3\/3 + 2888*a**2\/17 + 214*a. Find h such that w(h) = 0.\nAnswer: -38, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 359\/9 + 4\/36. Let u be (-4)\/(32\/h) - (-18)\/2. Solve u*q + 19 = 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90650 and 1150.\nAnswer: 2084950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 67, -101, 1, 12 in increasing order.\nAnswer: -101, 1, 2, 12, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 211 (c) 2 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 4*q - 22 = -3*y, -35 = 4*y - 5*q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*(sqrt(171) + 2)**2 + -5)*2*-3*-4.\nAnswer: 4320*sqrt(19) + 62400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2 = 0, -29*v + 68 = -26*v - t. Calculate the greatest common divisor of 115 and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w**2 + 4. Let j(x) = 2*x - 6. Suppose -2*y - 50 + 15 = -5*s, -5*y = -s + 30. Let q be j(s). Let z(m) = 13*m**2 - 9. Determine q*z(k) + 9*p(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 - 0.04. Let b = -0.1 - s. Do 4 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/52 and -89\/1173964?\nAnswer: 15261532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -25*w**6\/144 - 5*w**5\/12 - 5*w**4\/12 - 2*w**3\/9 + 24*w**2. Factor x(n).\nAnswer: -(5*n + 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106 + 18900*r - 18940*r + 35 to the form g + z*r and give g.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 137 = k, 0*h - 3*k = -h + 44. Suppose 8*v = -14 + 110. Calculate the remainder when h is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111707156?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -163589939438.999999565 - -163589938986. Let q = k + 453. What is q rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 133*g**2 + 85.\nAnswer: 266*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -45, -5, 1, 3.\nAnswer: -45, -5, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -49369287 and 7?\nAnswer: -345585009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*t - 77 = 31*t. Suppose -16*r - 6 = -13*r. Sort t, 4, r in ascending order.\nAnswer: r, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 254080000 to the nearest 1000000.\nAnswer: 254000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 119965 to the power of 1\/2, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*g + 97 = -3*q - 64 + 126, -5*g + 5*q - 20 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*5\/3 + 10*(-11)\/(-55). Let j(d) = d**3 - 2*d**2 - 2*d - 1. Let t be j(3). Sort t, 0, 4, a in increasing order.\nAnswer: a, 0, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2 - 9. Let p(z) = -2 + 25*z**2 + 23*z**2 - 47*z**2. Let d(g) = -2*l(g) + 9*p(g). Let v(k) = -3*k + 4*k - 2*k + 4*k. What is d(v(h))?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 3*l**3 - 173*l**2 + 173*l**2 in the form q*l**2 + o*l + k*l**3 + f and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 300.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2322 - -2321.9999942368. Round a to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3316 - -5612. List the prime factors of q.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -44.7 (b) -0.3 (c) -5 (d) -2\/11 (e) 173\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -2, -10, -3 in increasing order.\nAnswer: -27, -10, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175 = -49*w + 24*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (4 + -19 + 14) - 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -719, -1431, -2143, -2855, -3567, -4279?\n\"Answer: -712*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, p: 1, x: 5, v: 4}. Give prob of sequence vvp.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/6)\/p*p)\/(p**(-1)*p))\/(p**1)**(-1\/14) assuming p is positive.\nAnswer: p**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 68423, 68473, 68607, 68867, 69295, 69933, 70823, 72007?\n\"Answer: 7*k**3 + k + 68415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-22)\/1)\/(22\/(-198)). Suppose -y = -8*b - 78. Calculate the remainder when 116 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/6*3 + (-13 - -11). Let r(d) = -436*d - 11. What is the units digit of r(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-51)\/(-9) + 8\/(-12). Find the second derivative of -g*a**2 + 0*a**2 - 2*a - 3*a wrt a.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*c = 49*c + 24. Suppose 0 = -c*p - 4*o - 99 + 269, -5*p = 5*o - 420. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 8 + 13\/3*l**6 + 0*l**4 + 6*l + 0*l**3 + 1\/2*l**2 + 0*l**5. What is the second derivative of c(x) wrt x?\nAnswer: 520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*l + 6, -5*g = 4*l - g - 8. Suppose -l*v - 50 = -210. What is the greatest common factor of v and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59280 and 1060371.\nAnswer: 84829680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*2 + (sqrt(486) - (sqrt(486) + 2*sqrt(486))))\/((-2*sqrt(2592) - sqrt(2592))\/(3*sqrt(18)\/sqrt(3)))*-4.\nAnswer: -14*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 11*h**6\/6 + 11*h**3\/3 - 12. What is the third derivative of g(l) wrt l?\nAnswer: 660*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 6:45 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7011 divided by 779\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2977555 * 0.003\nAnswer: -8932.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 582\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*7.6\nAnswer: -0.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (-4 + 3 - 1) + 0 + 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 0. Let m be ((-23)\/2)\/(x\/(-2)). Suppose 5*b - m - 52 = 0. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrwrrrrwr. Give prob of picking 4 r.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/2387407 or -1?\nAnswer: 9\/2387407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c**2 + 7*c**2 - 7*c**2 + 10*c**2 as z*c**2 + f + v*c and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*n**2 + 36*n - 8*n - 13*n**3 + 22*n**3 - 2 - 4*n**2 - 11*n**3 in the form q*n**3 + g*n**2 + l + p*n and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 12*x - 4. Give t(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 8 + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1578170 (base 9) in base 12?\nAnswer: -364539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (-4)\/2*-3. Let m = x + -8. Suppose m = 5*z - w - 247, -4*w - w - 59 = -z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, x: 9, e: 1, b: 3}. What is prob of sequence bxb?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -216 + 607 + 747 + 1956 + 1097*a wrt a?\nAnswer: 1097","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.716043 litres in millilitres?\nAnswer: 716.043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*y = 80, 4*m - 68 = m - 2*y. Let n be (24\/m)\/((-4)\/(-10)). Suppose -5*u + 7 - 2 = 0. Put n, u, -5 in increasing order.\nAnswer: -5, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5758454?\nAnswer: 2, 13, 241, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, 48, 99, 148, 195?\n\"Answer: -u**2 + 56*u - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 868731030?\nAnswer: 2, 3, 5, 97, 191, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 28 - 63 = 4*l, -3*t - 2*l = 53. Which is smaller: -4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88.2 + -5.2. Let x = 0.104 - -82.836. Let i = j - x. Which is the closest to -2? (a) i (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -21, 4, -592 in decreasing order.\nAnswer: 4, 3, -21, -592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1296\/64)\/(17\/3604). What is the greatest common divisor of k and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j. Suppose -2*z - 2*m - 4 + 6 = 0, 5*z - 5*m - 15 = 0. Let l(r) = 5*r + 1. Let i(c) = -4*c - 1. Let s(o) = -5*i(o) - 6*l(o). Give z*s(d) - 7*u(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -36. Suppose 2*n = j + 23. What is the third derivative of -17*b + n*b - 5*b**3 - 6*b**2 wrt b?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 3*c + 2. Let v(s) = -s**2 - s. Let n(o) = g(o) + 3*v(o). Let f be n(-2). Let a = 6.9 - 0.9. Put f, a, -1\/7 in increasing order.\nAnswer: f, -1\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 761 - -14732. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*p = -70*p - 4505937. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-8)*72\/(-2). Let z = 11 - 3. Suppose f + z = 13. Solve -4*j = 5*h + c, 2*h + 3*h = -f*j - 30 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -644 by -30539.\nAnswer: 644\/30539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 54\nAnswer: 5\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -339263 - -366785.69. Let w = v - 27226. Let q = -295 + w. What is q rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/(-6) + (-2)\/(-6). Let y be -2 - 0 - (-2 - 75). Suppose o*r - y = -30. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*x**5 + 1652*x**4 - 1792*x**3 + 172*x**2 + 168*x = 0.\nAnswer: -6\/25, 0, 1\/2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.463658 litres?\nAnswer: 2463.658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odmzdmoxtdomzmmmxxox. Give prob of picking 1 t, 1 d, 1 x, and 1 z.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (484\/22)\/22*0\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111100 + 100010100100?\nAnswer: 11111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.37, 0.3, 1, 19, 0, 4\/25 in decreasing order.\nAnswer: 19, 1, 0.3, 4\/25, 0, -0.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(60)\/sqrt(192) + sqrt(125) + -1)*-1)**2*-2*4.\nAnswer: -4442 + 336*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otodtootoootoo. Give prob of picking 2 t.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 629, -93, -1309, -3019, -5223, -7921?\nAnswer: -11113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*s = 3*p + 8, -2*p + 2*s + 4 = 0. Suppose p = 5*g + 30. What is the common denominator of 73\/g*(-5 - -3) and 151\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 300*f**2 - 4*f + 155. What are the prime factors of h(8)?\nAnswer: 3, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69458.0784825 - -0.0215175. Let l = 69458.699997 - h. Let w = l - 0.6. What is w rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 15 = 3*t. Let m(g) = -2601 + 0*g + 5199 + 5*g - 2602. Determine m(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + h = -1, 0 = -2*y + 5*y - 3*h - 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 44 + (-10 - (-6 + -5 - (10 - 15)))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -248373.537 rounded to the nearest one thousand?\nAnswer: -248000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 5, s: 13}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.28728 nanograms to kilograms.\nAnswer: 0.00000000000528728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/6)\/((-1)\/15). Let q be -2 + 5\/(m\/4). Let r = 2 - 1. Is q > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (817\/(-3) + -4)\/(1\/(-33))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1346.8 - -1341.8. Let m = 1 + 1. Which is the nearest to -1\/9? (a) p (b) m (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 866*z - 869*z + 75 = -1740*z, -9*f + 460 = 2*z for f.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2 = 0, -2*w + 14 = -3*i - 3*w. Let j = -0.2 - -0.4. What is the biggest value in j, i, -2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v + 19. Is q(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456904 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 26. Calculate d(17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -388.4 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2014422 + -5?\nAnswer: 2014413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -42243 - 137?\nAnswer: -4237a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 21*o + 14. Let r be w(12). Let t = r - 214. What is t rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7980 = -1091*s + 793*s - 24370 for s.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -35*u**3 - 11*u**2 + 41*u. Let i(o) = 18*o**3 + 6*o**2 - 21*o. Let b(j) = 11*i(j) + 6*n(j). What is the second derivative of b(y) wrt y?\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -365 and -1?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x + 7*x + 10*x to the form t + y*x and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5874 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 212a1 (base 12) to base 11\nAnswer: 2a845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (28 + 78 + 93)*(5 - 5 + 8*c) as f*c + a and give f.\nAnswer: 1592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 66*z - 1053. Determine d(15).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 69*d. Let j(i) = i**2 - i - 1. Let b(m) = -m**2 + 2*m + 2. Let q(a) = -b(a) - 2*j(a). Give t(q(v)).\nAnswer: v**4 + 69*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 16*p**2 + 36*p - 4. Let u be f(-18). Let n be 37400*((-4)\/u + -3). Round n to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -z + 5*a, 2*a = -5*z - 80 - 198. Let u be (-4)\/z*(1 + -4). Let v(b) = 2*b + 2. Let i be v(-1). What is the nearest to i in 1, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 295*g - 303*g - 48. Let y be (-3 + 3)\/(g + 5). Find z, given that y*z**2 + 0*z - 2\/9*z**5 + 0 - 2\/3*z**4 - 4\/9*z**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*l**3*s**3 + 2*l**3 + 419*l**2*s**3 + 11030*l**2*s**2 + 4*l + 2*s**3 - s**2 wrt s.\nAnswer: -66*l**3 + 2514*l**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 5. Let x(z) = 15*z**2 + 2*z + 1. What is the remainder when x(o) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4 + (2 - 6 + 1)*(3 - 4 + 0))*(q**3 + 3*q**3 - q**3).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4584555706 a multiple of 1419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 45 = 3*d, f + 7 = 2*d - 2. Calculate the smallest common multiple of 5\/(-90)*-256 - (-2)\/f and 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 49\/21*(-3)\/(-17). Let j = d + -69\/85. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 32593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -120 + 5?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 131065 to the nearest one hundred.\nAnswer: 131100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 4:25 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (5 - 13)*(-236)\/630. Let m(p) be the third derivative of -8*p**2 + 0 + 0*p**3 - 1\/90*p**6 + 0*p + 0*p**5 + i*p**7 + 0*p**4. Factor m(l).\nAnswer: 2*l**3*(l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 - -99. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 + 4*d + 13. Give c(-6).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -19*r**5\/5 + 19*r**3\/3 - 1. Find the third derivative of q(p) wrt p.\nAnswer: -456*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**4 - 4*l + 4*l - l. Let c(s) = -s**4 - 12*s**3 + 18*s**2 - 16*s + 3. Let m(p) = c(p) - 4*i(p). Factor m(d).\nAnswer: 3*(d - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l - 23*l = 0, 3*b - 9 = -l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (29\/(174\/20))\/((-46)\/69)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21025043.3899949 + 21024958.39. Let w = -85 - q. Round w to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -69 and 19791.\nAnswer: -1365579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6412159?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-3) + -2)*3. List the prime factors of (-15)\/9*(o - 4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, 3, 1258.\nAnswer: -10, -3, 3, 1258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*t**2 - t + 3 - 8 - 3 to the form d*t + l + i*t**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45637 + 2517 = -3920*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 76 + 3 - (-6 - -2 - (-28 - -24))\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*u = -12*u - 1836. Calculate the least common multiple of 30 and u.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*t + 6*v + 26, -4*t + 3*v = -35. Suppose -t*y - 24*y = -416. Calculate the greatest common divisor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooyoyyyyyyyyyooy. What is prob of sequence yyo?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 26 - 125 = 0. Let s = -29 + x. Suppose 0 = -5*q - s + 355. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d = 8. Let t be (-707)\/(-77) - (-4)\/(-22). Let g(x) = t*x**2 - 11*x**d + 20*x**2. Let z(a) = 2*a. Give z(g(h)).\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 294, 534, 834, 1200, 1638, 2154?\nAnswer: 2754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - n - 212634 = -11*d, 0 = 3*n + 27. What is the greatest common factor of 15 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*x + 16 = -52*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*((sqrt(2700)*-1 - sqrt(2700))\/(sqrt(225) - (sqrt(225) + -1*sqrt(225))) + (sqrt(192)\/sqrt(4) - sqrt(12)\/(2*sqrt(4)))))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5601*4.\nAnswer: 22404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (24 + 0 + -6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 = 4*f, -2 - 1 = -3*g + 4*f. Put 1\/2, 7, g, 3, -15 in increasing order.\nAnswer: -15, 1\/2, g, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/131441490 and 37\/269247?\nAnswer: 1445856390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 + 5. Let v(r) = 4*r. Determine m(v(x)).\nAnswer: 48*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*z - 5. Suppose 0 = -12*f + 14*f - 3*g - 22, -8 = 2*g. Solve -f*s - 21 - 14 = 5*j, 2*j - 2 = z*s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d0e5 (base 15) in base 12?\nAnswer: -21622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133.84 - 4244150154.\nAnswer: -4244150287.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -97 + 749. Suppose d = 2*n - 5*r, -8*r - 163 = -n - 3*r. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 239575, 479221, 718867?\nAnswer: 958513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4\/5 + 14*u**3\/5 + 78*u**2\/5 + 106*u\/5 + 44\/5 = 0.\nAnswer: -2, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 238293 and 1245.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 14 - 0)*-1. Let k(b) = -b + 14. Let x be k(i). Let o = -14 - -9. What is the nearest to x in -2\/3, 4, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(112) - 4*(sqrt(7) - sqrt(112))) + sqrt(112)\/sqrt(4) + -1 + 2*sqrt(7))**2.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -13. Which is greater: x or -18?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-75)\/12)\/(-5))\/(1\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s - 4. Let q(d) = 3*d - 3. Let r(g) = 33*g - 32. Let f(b) = -12*q(b) + r(b). Give -3*f(y) - 2*p(y).\nAnswer: 3*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swhshrhhhwihhwrhoh. Give prob of picking 2 r.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(8)\/sqrt(4)) + -2*sqrt(2100))\/(sqrt(363) + (sqrt(363) - (sqrt(363) - 2*sqrt(363)) - sqrt(363))*-6)*-4 + -4.\nAnswer: -4 - 76*sqrt(7)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*d**5 + 93*d**3 + 418*d**2 - 13*d?\nAnswer: 3060*d**2 + 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(68))**2 + sqrt(17))*4.\nAnswer: 4*sqrt(17) + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3\/5, -0.32, 40?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 24 = 3*p + 2*v, 3*p + 5*v = -32. Let t be 0\/(p\/(-8)*-8). Suppose -4*r = -6*r + a - 2, -5*r = 3*a - 17. Solve t = 2*d - d - r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 64\/(-28) + (-2)\/(-7). Suppose 0 - 36 = 4*y. Let h be (y\/(-6))\/((-45)\/12). What is the closest to 0.1 in n, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*w = 288, 5*w = 4*d - 102 - 114. Calculate the remainder when 1028 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52570.\nAnswer: 2, 5, 7, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 239 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1476246 is divided by 2942?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7759572 divided by 6.\nAnswer: -1293262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316*n + 428*n + 5970079200 = 0. Round n to the nearest 100000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 209 = -3*d, -5*u = -3*d + 6*d - 205. What is the least common multiple of 13 and d?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137133174?\nAnswer: 2, 3, 37, 617717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 2, -2\/31, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -4436?\nAnswer: 4440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-7 + (-5 - -54) + -2) - -10.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170, -361, -848, -1775, -3286?\nAnswer: -5525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -57, -5, -0.4?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -298, -592, -886, -1180, -1474, -1768?\nAnswer: -2062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3041*c**4*h**2 + 2158*c**4 + 2*c*h**2 + 17484*c*h - 6*c + 4 wrt c?\nAnswer: -36492*c**2*h**2 + 25896*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * 5.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 404, 2\/19, -4, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h**2 - 30*h + 4*h + 11*h + 23 - 32 - h**3 = 0. What is h?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*z - 8 + 219*z - 204*z - 1066*z - 475*z to the form c + v*z and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -270099, -537942, -805785, -1073628?\nAnswer: -1341471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2622 (b) -2\/13 (c) 348\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1, 10, -3 in ascending order.\nAnswer: -3, -1, -0.2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11120?\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5303381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 15 = 0, 0 = 2*j - 2*d + d - 117. Suppose 5*n - j = -5. Let c = n + -4. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 152, 371, 606, 863, 1148, 1467, 1826?\n\"Answer: s**3 + 2*s**2 + 206*s - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -907, -1607, -2293, -2959, -3599, -4207?\n\"Answer: p**3 + p**2 - 710*p - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -2 + 3, -w - 4 = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -16. Suppose s*n - n - 100 = 0. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1512, -1530, -1560, -1602?\nAnswer: -1656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - (sqrt(17) + 0 + sqrt(17)))*-2 - -2*sqrt(17)*-1) + -3*(-1 + sqrt(425))*1 + -1)**2.\nAnswer: -60*sqrt(17) + 3829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 1. Let c be (-75)\/9 + (-2)\/3. Let v be f(c). Suppose 4*o = 2*o + v. What is the remainder when 8 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20492 is divided by 168?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6269 or -144214\/23?\nAnswer: -6269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -143001*x**2 + 10*x - 92. Let n be q(5). Round n to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*n**3 + 63*n**3 - 114*n**3 - 4*n - 2 as y + t*n**2 + c*n**3 + b*n and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 23. Suppose -96 = c + x. Let k = c - -178. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*d*l*u**2 + 101*d - l*u**2 - 2*l*u + 43*l - 16*u**2 wrt u.\nAnswer: -8*d*l*u - 2*l*u - 2*l - 32*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**4\/6 + 43*b**3\/3 - 294*b**2 - 5809*b. Factor d(g).\nAnswer: 2*(g - 6)*(g + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10960*d**3 + 1 + 5550*d**3 - 4*d**2 + 5536*d**3 to o*d + i + g*d**2 + k*d**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and -11191.\nAnswer: 145483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8990825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 - -19. Let r = -2 + k. Let d = 19.99966 + r. What is d rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -7*y - 39*y - 6*y - 7. Let u be (5\/10 + 2)\/(13\/(-26)). Let a(d) = -26*d - 3. Let w(v) = u*a(v) + 3*q(v). What is the first derivative of w(n) wrt n?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27416)\/(-276) + -115)\/((-8)\/15 - 5\/(-25)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6))**(-34\/3)\/(q**(4\/5)\/q*q**(-2\/3)) assuming q is positive.\nAnswer: q**(1033\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 20700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 3*i - 127, 5*i + 88 = 3*f - 4*i + 14*i for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**4 + 3*u**4 + 0*u**4)*(-1 + 0 + 0) + 2*u**3 - u**4 - 2*u**3 - 2*u**2 - u**2 + 3*u + 1110*u**4 - 1128*u**4.\nAnswer: -21*u**4 - 3*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -158.0286602 rounded to one decimal place?\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176237519 and 8433?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 6 = 3*k + 3, 0 = -k - 4. Solve 7 = 5*g - p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 66.22584l?\nAnswer: 66225.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 521432591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2873 is divided by 90.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-8))\/q*q*q\/(q\/(q\/((q\/(q*(q\/q**(-8\/9))\/q))\/q)))*q**(-3\/10)\/(q\/(q**13\/q)) assuming q is positive.\nAnswer: q**(2033\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -112.4 + 96. Let y = -31986 + 32002.3826. Let q = y + b. Round q to three decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -4 - 12) + 7.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -27, -3, 1 in descending order.\nAnswer: 12, 1, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b591a (base 12) to base 5.\nAnswer: -30104204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahpldpd. What is prob of sequence ad?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 15*g**3 + 4*g**2 - 2*g**2 + 0*g.\nAnswer: -15*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 105?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*f + 29, 0*f - 50 = -2*j - 2*f. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m*m\/((m\/m**(-1))\/m*m))\/m)*m*m*m)\/(m\/m**(-2\/9)))**5)**18 assuming m is positive.\nAnswer: m**340","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -1222?\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*f + 3*v, 4*f = 3*v + 2*v - 8. Find the third derivative of -163*a**2 + 1 - 1 + f*a**3 + 147*a**2 wrt a.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*f - 238*f = 8*f + 38*f + 25008 for f.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l + 20. Let a be b(-4). Solve -3*q + 12 = 3*z - 0*q, -a*z = 5*q - 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**2. Let u be g(2). Let v be 2\/(-7) - (-6)\/21. Suppose s - u = -v*s. Solve n = -p - 1 + 5, 3*n - s = -5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 533 + -528. Suppose -2*i = z - 453, w*z + 6*i - 2*i - 2247 = 0. Is 42 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-9 + (11 - 1))) + 3 + -20 + 148?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111010001000111111010000 (base 2) to base 7.\nAnswer: 243355615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -146329, -292657, -438985, -585313?\n\"Answer: -146328*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 449718167 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: Which is smaller: 43 or 19942?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1513 or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -56*j**2. Let d(i) be the second derivative of 0*i**3 + 5*i + 0*i**2 + 1\/6*i**4 + 0. What is d(t(g))?\nAnswer: 6272*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 3*c + 27, s + 2*c = 3*c + 3. Find the third derivative of -19*g**s + 266*g**2 + 0*g**6 - 272*g**2 wrt g.\nAnswer: -2280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -3, 3, -59, 2 in descending order.\nAnswer: 3, 2, -3, -32, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1856251.74 hours to weeks.\nAnswer: 11049.1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*k**2*p**2 - k**2*p - 29*k*p**3 + 59*p**3 + 7 wrt k?\nAnswer: 6*k*p**2 - 2*k*p - 29*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 230, 137, -126, -643, -1498?\nAnswer: -2775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-16)\/86) - (-75)\/(-200). Let k be 70\/h + -3 + -3. Which is smaller: 9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 440 divide 297410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -0*v + 10 + 2, 4*v - 48 = -6*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 32\/5, 0, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -226 (base 8) in base 2?\nAnswer: -10010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -100 or 1989?\nAnswer: 1989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 10. Let o be w(6). Let r = o - -6. Differentiate -r*k**4 + 0 + 1 + 4*k**4 wrt k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/(-2869)*1144\/(-4576).\nAnswer: -1\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 31, -1\/2, 0, 77\/15?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) 19 (b) 5 (c) 1\/12 (d) 0 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-128 - -119) + (14 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 50a8?\nAnswer: 50ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millisecond in microseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -4402\/1215 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*11\/(-66).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5650506 millimeters to meters.\nAnswer: 0.0005650506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3785 and 27811423?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**2\/3 - 4465*i\/3 - 8950\/3 = 0. Calculate i.\nAnswer: -2, 895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-6*((sqrt(396)\/(sqrt(12)*4))\/sqrt(3) + ((-3*sqrt(44)*-5 - sqrt(44)) + sqrt(44))\/sqrt(4)))**2 + -2.\nAnswer: 368379\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6882670 and 8077?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4866.95 rounded to the nearest 10?\nAnswer: 4870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -26409 and -26417 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in 12\/47, 3, 1\/16, -1\/39, 1\/2?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 30 (b) 0.2 (c) -2\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -181 + 293. What is the greatest common divisor of 504 and m?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 11:56 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + z**2 - z - 1. Let a(p) = -6*p**3 - 4*p**2 - 103*p + 4. What is -a(o) - 4*w(o)?\nAnswer: 2*o**3 + 107*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*z = -106*z + 480. Calculate the highest common factor of z and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 120*j + 441. List the prime factors of p(29).\nAnswer: 3, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(2\/(4\/2)). Suppose 6*g - g - 210 = q. Suppose 4*v = -v + 4*z + g, 0 = -v + z + 9. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 w when four letters picked without replacement from lmmjwmjmljml.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.075 times -0.5\nAnswer: -0.0375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 120881876701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*m - 3*m + 2394. List the prime factors of (-36)\/m + (-93)\/(-19) + 877.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2223 = -4*y + 4*g - 2207, 0 = -y + 2*g + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {n: 18, t: 1}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjujjjujuu. Give prob of picking 1 u and 3 j.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/(2*12\/30)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**7\/504 + 3*s**4\/4 + 7*s. Let b(i) be the third derivative of v(i). Let o(d) = 2*d**2. Give o(b(n)).\nAnswer: 50*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2082.217581 rounded to the nearest 10?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 729599 greater than 729599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - (-1)\/1) + (83297 - 15)?\nAnswer: 2, 41641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1539, -1534, -1557, -1620, -1735, -1914, -2169?\n\"Answer: -2*i**3 - 2*i**2 + 25*i - 1560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**4\/4 - g**3\/3 + 5*g**2\/2 + 6*g + 2082. Give w(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 0.1703, 3, -3 in descending order.\nAnswer: 3, 2\/9, 0.1703, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 4\/7 (c) 8 (d) -4\/9 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5*w**(-13)*w)**(-25\/6)*(w*w*(w\/w**(-14)*w)\/w*w*w*(w\/(w*(w*w*w*w\/w**(-8\/7)*w)\/w*w*w))\/w*w)**25 assuming w is positive.\nAnswer: w**(13675\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-2) + (0 - -1). Suppose -j*m + 22 = 2. Suppose -2*t = -5*w + 20, 0 = 2*t + 4*w + 7 - 23. Sort t, m, -5 in descending order.\nAnswer: m, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -239 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6559 divide 1325291863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -4 (c) 4 (d) 495\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -8.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.02, -2\/9, -0.071, 25\/6?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 530 = 5*r. Suppose -s = -p - 3*p + 92, -s = 5*p - r. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13161*u**2 - u**3 + 5 - 13159*u**2 - 1 - u to the form b*u**3 + w*u**2 + y + p*u and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153130952*0.3.\nAnswer: 45939285.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -11\/2*y**4 - 22 + 0*y**2 + 35\/3*y**3 + 2*y. Find the third derivative of s(f) wrt f.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -1\/90*x**6 + 0*x**2 - 1\/9*x**3 + 1\/30*x**5 + 17 + x + 1\/36*x**4. Determine c, given that g(c) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(-1\/4) assuming g is positive.\nAnswer: g**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 12073269?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -11*q**3 + 17*q**2 - 17*q - 17. Let j(c) = -25*c**3 + 3*c + 2*c**2 - 2*c**2 + 3 - 3*c**2 + 27*c**3. Give 34*j(p) + 6*t(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f + 498d?\nAnswer: 497e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 888057\/22830 + (-6)\/15. Let u = b - -1\/761. What is the common denominator of u and (9\/(-14))\/(1\/(-9))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 919088918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 + 3 + 2*v + 0*v + 6*v.\nAnswer: 8*v + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3 + 1 = -4*t, -3*q - 3*t + 3 = 0. Sort q, 46, 3, 0.\nAnswer: 0, q, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(3*c - 3*c + c)*(-194 + 1457 - 2*c - 763).\nAnswer: -4*c**2 + 1000*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -157*p - 5. What is the tens digit of a(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c + 137*c**2 + 118*c**2 - 77*c**2 + 71*c**2 - 6*c**2 - 5804 wrt c.\nAnswer: 486*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l. Let w(q) = -2891*q**2 + 11*q - 11*q + 2786*q**2. Calculate w(i(b)).\nAnswer: -420*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -157545 + 2?\nAnswer: -157543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3172 divided by -1586.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rtf when three letters picked without replacement from {y: 1, f: 1, r: 6, x: 3, t: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(90))\/sqrt(3))\/(sqrt(20)\/(sqrt(8)\/sqrt(4))) + (-6*1*sqrt(75)*-3)**2.\nAnswer: -2*sqrt(3) + 24300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 7*f**2 + 6*f + 6. Let l be x(-8). Suppose 28*y - l*y = 12. Sort 3, y, -17 in increasing order.\nAnswer: -17, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 9*i**3 - 27*i**2 + i - 1. Let z be v(7). What is z rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(180)*1 + sqrt(180)))**2.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 5336.4466?\nAnswer: -2134.57864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3*j + 22195 - 75578, -5*v + 2*j + 266928 = 0. What is the ten thousands digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 - 38423022?\nAnswer: -38423002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2651906, -5303822, -7955748, -10607690, -13259654, -15911646, -18563672, -21215738?\nAnswer: -23867850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 248*w**2 - 736*w**2 + 249*w**2 + 249*w**2 + 179*w**4 + 3*w**3 as v*w**2 + y*w**3 + p*w + c*w**4 + f and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 26, 1, -22, 0?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 7 = -2*n. Suppose -n*j + 5 + 17 = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*a - 2*n + 43, 48 = -3*a + 3*n. Let m = -6 - a. Sort 0, -2, m in decreasing order.\nAnswer: m, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 156208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + l - l**3 + 0*l**3 + (11*l - 58*l - 19*l)*(-3*l**2 + l**2 + 0*l**2) to g*l + h + c*l**3 + x*l**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45\/17 - 43\/170. Suppose 3*w + 44 = -46. Find the common denominator of (-6)\/40*(w + 4) and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 0 + 0*n**3 - 5\/4*n**4 - 7*n**2 - 3*n. What is the first derivative of s(u) wrt u?\nAnswer: -30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4621 minus 534.9238?\nAnswer: -5155.9238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-12)*(1 - (-6)\/(-9))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 4, -2, 5, 0.1 in increasing order.\nAnswer: -2, -1\/4, 0.1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.99 + 0.01. What is the third smallest value in 1\/3, 5\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 2. Let o be 5 + -3 + (-60)\/c. Solve -3*r + 2*p - 2 = -o, r + 5*p = -16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*v = -30*v + 804. What are the prime factors of (0 - v\/(-2))*-3?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 6*d**2 + 7*d - 6. Let s be (14 - 20)*-1 + -1. Let j be 3*1 - -1 - -1. Suppose -j*k + s*r = -25, -2*k + 0*r = 4*r - 22. Determine i(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -1.21912\nAnswer: -8.53384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 8 = -2*o. Let h(v) = -v + 3*v - v - v**o. Let n(r) = 13*r**2 + 6. Let l(t) = t**2 + t + 1. Let x(m) = -6*l(m) + n(m). What is -6*h(f) - x(f)?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + 2*m + (0*m + 3*m - m)*(-3 - 2 - 7) - 3*m + 45*m - 16*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 5. Let c be (-1)\/g - 2\/(-6). Suppose h + 3 = b + 10, -h + 2*b + 11 = c. Solve 2 = -4*z + h*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11490 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: Is 1051 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 49, -8, 12, 8, 9.\nAnswer: -8, -5, 2, 8, 9, 12, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34144 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0\/t*t)**43)**(3\/8) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 10*d - 50. What is the remainder when 91 is divided by v(16)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + f = -3, -y + 3 = -0*f - 4*f. Suppose 2*d = n + 162, y*d + 0*d = 4*n + 663. Let s = n + 327. Does 23 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-135)\/(-162))\/((-5)\/(-2))*6. Let w(q) = q**2 - 5*q + 16. Let x(s) = -s**2 + 6*s - 16. Let j(n) = k*w(n) + 3*x(n). Factor j(b).\nAnswer: -(b - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 + -71. Let r be (6\/5)\/((-6)\/(-40)). Suppose 5*j - 3*j - r = l. Solve -j*d + 20 = -0*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3169375433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**3 - 3638*f**2 + 3638*f**2 - 3*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/111 - -495\/37. Which is smaller: 12 or a?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - -158?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 15384?\nAnswer: -1538.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84205.82 tonnes to micrograms.\nAnswer: 84205820000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 491\/170 + -3\/34. Factor -3\/5*m**4 - 8\/5*m + 0 - 4*m**2 - r*m**3.\nAnswer: -m*(m + 2)**2*(3*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 8:09 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r - r + 2*r. Let f(i) be the first derivative of i**2\/2 + 72. Determine f(o(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2511*g = 2537*g - 182 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2. Let s = 9 + -3. Let c(a) be the first derivative of a**3\/3 + 1. Determine s*c(h) + 4*b(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -39c + 35?\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*q - q + 6*q)*(-1 + 4 - 1) - q + 3 - 3)*((5*q - 3*q + 0*q)*(-6*q**2 + q**2 - 3*q**2) + 0*q**3 - 2*q**3 - q**3).\nAnswer: -57*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*a**3 - 12*a + 7*a + 4 + 27.\nAnswer: 40*a**3 - 5*a + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(8\/3)*u)\/u)**47\/(u**(-16)*u**(-5\/6)) assuming u is positive.\nAnswer: u**(853\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 1988389?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*-3)\/(5\/(-10)). Let u(t) = -t**2 - 7*t - 6. Let v(k) = -5 - 6*k - 3*k**2 - 7*k**2 + 15*k**2 - 6*k**2. Calculate b*u(x) - 7*v(x).\nAnswer: x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2. Let i(y) = 6*y + 7. Let m(f) = -5*f - 7. Let d(c) = -4*i(c) - 5*m(c). Calculate d(h(p)).\nAnswer: 2*p**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 346712 and 406401208.\nAnswer: 18248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2672562 is divided by 668140?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 103*s*y - 6431*s + 7*y + 2 wrt y?\nAnswer: 103*s + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzuz when four letters picked without replacement from {z: 3, u: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -0.5 (c) -0.035 (d) -0.2 (e) -0.9 (f) -1403\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*q = -0*q - 7*q - 231 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 113, -4\/7?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*j + 22*j - 3040 = 0 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -1 - 4 + 6. Let a(k) = -2*k - 8. Let n = 26 - 33. Let p = n + 8. Give p*a(u) + 6*t(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-3)*766\/164690.\nAnswer: -1\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106280?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(48)\/(sqrt(12) + sqrt(768))) - ((-1*sqrt(832))**2 + sqrt(117) + 5).\nAnswer: -837 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 3*p - 2. Let d be i(-1). Let s(u) = 2*u - 5. Let h be s(6). Let l(j) = j - 3. Let k be l(h). Solve d = -k*c, 2*v = -2*v + c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 - 3*b**2 + 5*b - 4. Calculate the lowest common multiple of k(2) and (-23)\/(92\/(-120)) - 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*h + 75*v = 193*h + 902, -3*h + 3*v + 0*v - 5 - 37 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 4)\/2 - 14. Let o(a) = -12*a + 2*a**3 + 8 - 13*a**2 - 4 - 3*a**3. Let k be o(w). Solve 3*h - k*h = -x - 5, -3*x = -2*h + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -39\/7, -11.8, -2\/67, 4\/9, 5?\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1875*j + 1830*j = -1710 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 44*o - 304. Does 4 divide h(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 21*v**3 + 9*v**2 + 9*v + 4. Suppose 11*x - 33 = -11. Let s(b) = 5*b**3 + 2*b**2 + 2*b + 1. Calculate x*f(u) - 9*s(u).\nAnswer: -3*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a**3 + 3*a**2 + 2. Let t(d) = 21*d**3 + 11*d**2 + 8. What is -22*s(n) + 6*t(n)?\nAnswer: 16*n**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-2 - (-15)\/(3 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 - 93 = 64*n. Sort 1, 26, n in descending order.\nAnswer: 26, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/4 + -2 - (-14 - (-1771)\/140)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 - -48. Let p be (-4 - -4)\/(v - -2). What is p rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 8*g + 8 = 0, -4 = 4*u - 5*g. Suppose 0 = -5*w - 3*t - 8, 0*t - 4 = -w - 2*t. Sort 1, u, w in decreasing order.\nAnswer: u, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-66811\nAnswer: 267244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.961918535 to four dps.\nAnswer: 0.9619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(((-2)\/4)\/((-2)\/(-2))). Factor 3 + 16*m + 35*m - 11 - j - 15*m**2.\nAnswer: -3*(m - 3)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 2:21 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 8 = -2*c, -3*c = 2*c + 5. Let a be 2\/(-28) - -6*20\/1680. Sort a, 8, t in decreasing order.\nAnswer: 8, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.03 (b) 5 (c) 8 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000064689284 rounded to six decimal places?\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6, 38, 122, 282, 542?\n\"Answer: 4*d**3 + 2*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z - 12 = 0. Suppose 23 = 5*k + x, 0 = -0*k + 4*k - x - 13. What is the remainder when z\/16 + 85\/k is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + -33. Let p = y - -83. Factor 28*w**4 - 2*w**5 - p*w**4 + w**5.\nAnswer: -w**4*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (17 + -6) - (-99 - -120).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 925*l. Let d(k) = 19*k - 88*k + 27*k + 9*k. Give 111*d(i) + 4*q(i).\nAnswer: 37*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134243543 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -71. Let f be -10*(v\/2 - 5). Suppose f*q = 4 + 6. Solve -c = q*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 2*z**2 + 10*z - 12. Calculate x(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -10, -5, 13, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - b + 302862 = 0. Suppose 0 = 4*q + 3*q - b. Suppose -2*h + 5*u + q = 2*u, -3*h + 10816 = -5*u. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-670*d**2 - d**2 - 441*d**2 + (d + 2*d - d)*(1 - 1 + d)).\nAnswer: 1110*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/28 of a week?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 1:16 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/5 - (-6)\/(-30). Let y be (r\/4)\/(9\/(-1170)). Let m = -35 - y. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1214775592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 612 and 3638391?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/sqrt(252) + (sqrt(27) + sqrt(675)*-2 - sqrt(27)))\/(-1*sqrt(441)*-1)*-5*-5.\nAnswer: -1475*sqrt(3)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w. Let o(f) = 22*f. Suppose -c + 20 = -2*v + 11, 4*v = -3*c - 23. Calculate v*o(p) + 16*j(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1364, -1370, -1380, -1394?\n\"Answer: -2*t**2 - 1362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 + 9*z - 8. Let h be k(-8). Suppose -3*p + h = 2*q, 70 = 3*q - 3*p + 7*p. Calculate the remainder when 34 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 4*p + 2. Let i be d(4). Let a(s) be the first derivative of 1\/4*s**4 + 4\/3*s**3 - 3*s**i + 5*s + 2. What is a(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 5 + (1 - 1 - 2)*(1 - 2 + 3) + (3 + 2 - 3)*(3 + 3 - 5))*(0*n + 2*n - 5*n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k. Let y(z) = -z + 2842. Calculate y(c(o)).\nAnswer: o + 2842","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 846 and 9036?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(640) + sqrt(640)*-3) - (sqrt(15)\/(sqrt(245)*-2))**2.\nAnswer: -sqrt(3)\/16 - 3\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -523, -1979, -4403, -7795?\n\"Answer: -484*p**2 - 4*p - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from {m: 5, q: 7, x: 4, n: 2, k: 2}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d + 33. Let g be f(14). Let u = -124 + 66. Let i = u + 55. Put i, 3, g in increasing order.\nAnswer: i, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 182, 5, 254 in ascending order.\nAnswer: 5, 182, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 3*k - 6. Let a(r) = -3*r**2 - 8*r + 17. Let u be 65\/(-3) + (-1)\/3. Let v be ((-121)\/u)\/((-2)\/(-4)). Give v*q(h) + 4*a(h).\nAnswer: -h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1663348531 and -109271.\nAnswer: -1663457802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/8 of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2 - -18)\/8)\/((-3)\/(-33)). Suppose -48350000 = -q*w + 17*w. What is w rounded to the nearest one hundred thousand?\nAnswer: 9700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190828463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/16289 and -67\/781872?\nAnswer: 781872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 6043039632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111 + 225\/2. Suppose -4 = -g - 2. Are b and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 9:31 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -393213603*d**5 - 782560103*d wrt d?\nAnswer: -7864272060*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 3*t**2 + 121*t - 143. Calculate k(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 31*t = 26*t + 5, 3*t = -7*k + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 350 = 3*w, 3*w - 4*r - 488 = -162. Find the first derivative of 2*b**3 + 5825*b**4 - 5822*b**4 - b**3 + w wrt b.\nAnswer: 12*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 1. Let c(a) = -2*a**2 - 8*a + 3. Let j(n) = -c(n) - 3*l(n). Find the second derivative of j(u) wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 1 - 6*q + 2*q + 4*q. Suppose -f + 6*f - 5 = 0. Let x(n) be the first derivative of n**3\/3 - 3*n**2 - 6*n - 1. Give f*x(v) - 6*j(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/102 + 4632227994\/(-102). What is s rounded to the nearest 1000000?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -2010211000?\nAnswer: 2010210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3831?\nAnswer: 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 704532069 and 4038?\nAnswer: 2019","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8262 + -3491. Is 57 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 542 divided by 699.\nAnswer: 542\/699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (4338\/10)\/(3\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -47185\nAnswer: -4\/47185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 4*l + 74, 2361*c - 2431*c - 2*l - 1250 = 0 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2877*a + 6444 = 3170 + 23413 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21.61 - -0.39. Let x = -85370 + 85366. What is the nearest to 2 in 0.3, a, 0.2, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, k: 1, v: 1, z: 1, w: 4, c: 1}. What is prob of sequence wk?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22, 91, 206, 361, 550, 767, 1006, 1261?\n\"Answer: -s**3 + 29*s**2 - 11*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(704) - (1 + sqrt(704) + -1)) + 5 + 5)*-1)**2 + -4.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -17.14. Suppose 3*u - 3*z - 2 + 11 = 0, 5*z - 15 = -4*u. Which is bigger: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33733 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 4*l - 6*l)*(-4*l**2 + 4*l**2 + 4*l**2) + (0*l + 0*l - 2*l**2)*(-21*l + 8*l + 86*l).\nAnswer: -170*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6479 and 5250935?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 424332 to the power of 1\/2, to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 151*o**5 + 150*o**5 - 17*o**5 + 711*o**2 + 219*o**5 wrt o?\nAnswer: 30180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 8*s + 13 = 28, 10 = -x - 3*s for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 760659751330.\nAnswer: -760659751330.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 + 2903 - 6*m**3 - 3423 + 359 + 161.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 524 and 156.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -8. Let v be 0 - (-2)\/(8 + 0). What is the second smallest value in v, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.23, 0.5, 4, -0.4 in increasing order.\nAnswer: -0.4, -0.23, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 5*r**2 - 893904840*r + 893904835 = 0.\nAnswer: 1, 178780967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1170 + 1162 + -1 + -1 + -8\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 131263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 2*g**2 - g - 1. Let r = 1 + -3. What is k(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(143)*-2)\/(sqrt(1100)*2 + sqrt(11) + sqrt(11)).\nAnswer: 2*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f. Let y be d(-3). Suppose 0 = -y*t + 6. Suppose 2*s + t*s - 32 = 0. Calculate the lowest common multiple of s and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 2*x - 50. Suppose x = -3*q + 160. Calculate the greatest common factor of 18 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4582.\nAnswer: 2, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a + 27 - 3877 = 0. Does 35 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 25 = -9*m, 2*m + 269 = o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 2205 = -1736. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 9. Let h be (-1)\/(-2) + 1\/g. Find the first derivative of -11*w**4 - 12*w**4 + 22*w**4 + h + 5 wrt w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -7. Let o = -17 - 1. Is (4 - o)*d\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.952 to 1 decimal place.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 3\/71 (c) 2\/7 (d) 7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -761*v**3\/3 + 113*v**2 + 773. Find the second derivative of p(u) wrt u.\nAnswer: -1522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2244 and 6987?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 0 = -y - 5*m, 2*m - 20 = -4*y. Suppose -d + h + 5 - 2 = 0, d = -3*h + 11. Suppose 0 - 5 = 5*f + 3*t, -d*f - 4*t = 10. Solve -y*x - 10 = f*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 10:13 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 2*b, -4*y + 8 = -2*b - 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*t**3 + 19*t**3 + 52*t**3 - 259*t**3.\nAnswer: -38*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7434, -14913, -22392, -29871, -37350?\nAnswer: -44829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + -17 + -15 + 1 + -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -475 = 5*n - 6*n - 2*o, o = -4*n + 1865. Suppose 0 = 5*d + n - 590. Suppose -2*c + 150 = -0*c. Calculate the highest common factor of c and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1133, 2, 5 in descending order.\nAnswer: 5, 4, 2, -1133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 5:47 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 9 - 5 = 3*c, -4*c = -3*s + 19 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**2 + 2*v - 11*v + 9*v.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r - 6. Suppose 8 = 2*v - 4*v. Let s(m) = 28 - m + 3*m - 33. Calculate v*n(b) + 5*s(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4 - 44*i**2 + 44*i**2 - 2*i**3 wrt i?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6750 and 216?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - -366?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/8*l**3 - 6*l**2 + 6 - 3\/8*l = 0. What is l?\nAnswer: -1, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 0, 14, -9, -35.\nAnswer: -35, -9, 0, 3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 51 = -3*y - 17, -10 = -y - 2*z. Calculate the highest common divisor of y and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-19) - (-2 + 2). What is the fourth biggest value in 0.3, 0.2, 4\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 12*q - 45. What is f(12)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 8*a**2 - 2*a - 5. Calculate the remainder when n(4) is divided by ((-5)\/(-3))\/(2\/24) + -2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.98 + 0.02. Let g be 10\/(-25) - 39\/90. Let w = 0.26 + -0.66. Which is the nearest to q? (a) g (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -2*a - 0. Suppose 22 = m + n - 2*n, n = 2*m - a. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -22, -2, -134712, 2 in increasing order.\nAnswer: -134712, -22, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -123 in -2, 0.04, 29, -2\/7, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20897 - -21889.3. Let c = l - 987.159. Round c to one dp.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f (base 16) in base 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.091931, -2, 4, -2\/41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 4, 48\/25, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 20. Suppose 0*u + 5*u - 110 = 0. Suppose -3*o + o + u = w. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 5:31 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.36, -2\/15, 3 in descending order.\nAnswer: 3, -2\/15, -0.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 7. Let a be r(-7). Suppose 31 = 3*j + j + 3*w, -3*j + 3*w - 3 = a. Solve 0 = -3*b + 4*y - 3*y - 9, 3*b + j*y = 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2295, -10375, -23867, -42789, -67159, -96995, -132315, -173137?\nAnswer: -219479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 6936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 1) + -9 + -6 + 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 9:44 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 490*d**2*g**3 + 2*d**2*g**2 + 13991429*d**2 + 21*d*g**3 + 552*g**3 wrt g?\nAnswer: 2940*d**2 + 126*d + 3312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 956402 by -3.\nAnswer: -956402\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 10*p - 32. Solve 2*q - 4 + 5*q**4 - q**2 - 2*q - q**p + 8*q - 2*q**3 - 5*q**3 = 0 for q.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.6 and -0.11.\nAnswer: -0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 83013603*o - 9104973?\nAnswer: 83013603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1084, -3283, -9252, -20881, -40060?\nAnswer: -68679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -9784379016334.\nAnswer: -9784379016333.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(-4)\/(-110) + 6\/(-33). Let p be 7 + 5 - (0 + 1)*f. Calculate the greatest common factor of p and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 x when three letters picked without replacement from {m: 3, x: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2090 and 3610?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59657)\/3393 - -19 - (-364)\/(-234).\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esm when three letters picked without replacement from mscfecffcsfcscccece?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from bbcbc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -7, 428, 0.5, -1, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -4. Let n = 0.5 - j. Let y = 0 + -1\/5. What is the smallest value in y, n, -1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24309298 and 5382?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1003213102 (base 4) in base 5?\nAnswer: -32330241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7560 + 16*p - 893 + 3*p - 5*p. Is j(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -6440.\nAnswer: 19320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/797395 or -1?\nAnswer: 1\/797395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 602?\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (6 + -28 - -28)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47061 is divided by 46997?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-2*1*sqrt(68))\/((sqrt(4) - (sqrt(4) - sqrt(12)\/sqrt(3)))*1*-6))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11921 - 11953.3. Let x = 1.9 + -2. Which is greater: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52195 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2204006869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 37. Let n = 22 - g. Are n and 2\/15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/127832 and 13\/369816?\nAnswer: 311015256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*z - 4. Solve 3 = -a + z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 86057805 and 1095.98.\nAnswer: 86058900.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 29. Let x(d) = d - 1. Suppose -4*t - 9 = -3*o, 2*o - 4*t - 82 = -72. What is o*n(l) + 2*x(l)?\nAnswer: l - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -9. Suppose 3*u - 14 = f + 5*u, -f + 4*u = -g. What is the units digit of ((-2)\/f*3)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5450, -6526, -7610, -8702?\n\"Answer: -4*c**2 - 1064*c - 4382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 26*v + 135. What is i(-25)?\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.5, -3, -3.12, 1\/9, 19 in increasing order.\nAnswer: -3.12, -3, -2, -0.5, 1\/9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14994408 + 63647078520170\/4244721. Let x = r - -29739928301\/4100400486. Let y = 8\/207 - x. Calculate the common denominator of 37\/4 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 5:03 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffpppffppppppfppp. Give prob of picking 2 p.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, u: 2, s: 1, r: 1}. Give prob of picking 1 u and 1 r.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143 + 121 - 11*s**2 - 267.\nAnswer: -11*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171)*1 - sqrt(171)) + sqrt(171))*-1 + 4.\nAnswer: -6*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 6*y**2 - 2*y**2)*(-2*y + 0*y + 0*y) + 3*y**3 - y**3 - y**3 + 0*y + 0*y - 4*y**3 + 6*y**3 - 5*y**3 + y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-4 + -1)) + 3 - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 13*r**3 - 18*r**2 + 3*r - 6. Let z(h) = 11*h**3 - 22*h**2 + 2*h - 4. Calculate 2*d(t) - 3*z(t).\nAnswer: -7*t**3 + 30*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213310 + 10010?\nAnswer: 223320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -o + 3*o + 5*x, o = -2*x + 24. Calculate the remainder when 77 is divided by o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.076 * 1164.5963\nAnswer: -88.5093188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15*8\/(-672))\/(((-170)\/(-12))\/(-17))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -957*y + 454*y - 21571 = -493*y - 417*y for y.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*f - 2460 = -180*f. What is the greatest common factor of f and 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4 - 58 + 3*p + 16. Let n be v(14). Let i = 31 - 27. Solve -n*q + 5*u + 6 = 0, q + 1 + 8 = -i*u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 15*x + 4. What is the units digit of l(19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/699189 and 53\/289754.\nAnswer: 32162694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-2*k**5 - k**3 + k**3) - 2*k**5 + 0*k**5 + 3*k**5 + k - k**5 - k - k**5 - k**2 + k**2 - 7209*k**2 + 1327*k**5 + 7209*k**2.\nAnswer: 1324*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 4*g + g - 15*g + 6*g + 11*g + (2*g - 6*g + 3*g)*(-3 - 3 + 5))*(-2 - 5 + 3).\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l**2\/5 + 39923184*l\/5 - 479077344\/5 = 0. Calculate l.\nAnswer: 12, 6653852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + 6*(sqrt(192) + 1) + -2 + -3).\nAnswer: 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4351 not equal to 4341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -14295.51 to the nearest 100.\nAnswer: -14300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124 (base 6) to base 3.\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -5.267.\nAnswer: -0.5267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, o: 10, q: 3, g: 1, c: 2, s: 1}. Give prob of picking 1 s, 1 g, and 1 q.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 - 45*y**3 - 135*y**2 - 155*y - 60.\nAnswer: -5*(y + 1)**2*(y + 3)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 y when three letters picked without replacement from oynooyyo?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 101990 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 3. Let y be p(0). Let f be 9\/(-6)*((-5)\/(-15) - 1). Solve 2*o + y = -f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or 9368.9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 10:40 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32.531 + 1174.529. Round j to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 12 = 48. Let y = -51 + 75. What is the greatest common divisor of z and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2.5. Let t be 9\/4 - (-15)\/(-20). Let a = 1.2 - 1. What is the second biggest value in a, r, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 2:39 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 68 (b) -4 (c) 5 (d) 595\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 7*f**2 + 12*f - 25. Let l be u(-10). Suppose 1455 = 10*x + l. Calculate the remainder when x is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 980*b - 20. Let f(z) = 980*z - 20. Let q(m) = 2*f(m) - 3*h(m). Let u be q(-6). Round u to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1318 - 1?\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -2. Let x = 9 + -5. Sort 2, r, x.\nAnswer: r, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 58 - 5a42b?\nAnswer: -5a3b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73795 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.19 + 7.11. Let g = r + -9. Let q = -367\/77 + 54\/11. Put g, -1, q in decreasing order.\nAnswer: g, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qyyqqy. What is prob of sequence yqqq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (26 - 2) - -50?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/((-35)\/15) + 1393. Suppose 0 = 50*i - 45*i - z. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(2*v - 2*v + v**5) + 568*v**5 - 11894*v**3 + 11894*v**3.\nAnswer: 567*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + 3 + 24866\/(-50) + 0. Let m = n + 499. Let u = m - -18\/25. Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n - 8*n - n - 16*n**2 + 22*n - 38*n**3.\nAnswer: -38*n**3 - 16*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 15.309\nAnswer: 7.6545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 27541, 464 in descending order.\nAnswer: 27541, 464, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-5 - (-17 + 3)) - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 8*h**2 - 5*h - 7. Let k be a(7). Suppose 0 = 4*o + 3*b - 40, 0 = -4*o + k*o - b - 43. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**3 - 2*q + 2. Suppose 0 = 20*y - 19*y, 3*n - 6 = -y. Let h(a) = 9*a**3 - 5*a + 5. Calculate n*h(l) - 5*s(l).\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + 3*u + 6*u + (-1 + 0 + 0)*(0 + 0 - u).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18576\/1245753 - (-6)\/87*-1?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*p = 13*p - 1318 + 963 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/(-3))\/(14\/(-24)). Let h = 9685 - 9687. Which is greater: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 24328973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {k: 4, h: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23163 to the power of 1\/2, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 70*(-4 - 8\/((-32)\/20)). Let p be 34\/c - (-9)\/(-45). Which is bigger: p or -149?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -17*p**2 - 36*p + 4699. Determine r(0).\nAnswer: 4699","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(1 + -4 + -2 + 4173\/819). Let l be -3*10\/(-24)*-2. Which is the nearest to 0? (a) 2 (b) l (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-57) + 3624\/228 + -5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-20))\/((-65)\/(-975))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(4680\/96))\/((-24)\/36)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1142023 to the nearest integer?\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f + 5 - 3 - 2.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -106*z**6 - 4*z**4 - 2*z**2 - 857?\nAnswer: -12720*z**3 - 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 12:47 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 - 4 + 4 + 5*d - 2*d to the form b*d**2 + s*d + w and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 17 (c) -0.2 (d) -2.3 (e) -5\/6 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 2*k + 2. Let a = -3 + 0. Let u be ((-1)\/a)\/((-3)\/(-27)). Give j(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*h - 2*w + 9, 3*w - 1 = h. Suppose -v = 6*m - m - 9, 15 = -h*v + m. Let s = v + 10. Solve 0 = -s*o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5530, 5538, 5552, 5572, 5598, 5630?\n\"Answer: 3*f**2 - f + 5528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 7*k**2 + 7*k. Let l be o(6). Let a(j) = -3*j**3 - 3*j**2 - 4*j - 2. Let y be a(-2). What is the greatest common divisor of l and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 6 = 6*y. Let r = y - -9. Suppose 9 + r = 3*x. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.089964 - -0.09. What is y rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 4*d**2 + 6*d - 3. Let c be j(5). Suppose -c*g = 2*g + 20. Let n(w) be the first derivative of -w**2\/2 - 4*w - 5. Give n(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + 24586\/494 + 166\/494?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 624927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -3\/4*d**4 + 0*d + 1 + 1\/2*d**2 + 0*d**3. What is the second derivative of n(z) wrt z?\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8066 divided by -2\nAnswer: 4033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h - 180 + 12*h**2 + 180 - 16*h - 17*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91 - -88. Is -5 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -22*q + 1. Let l(v) = 3*v + 4*v + 17*v - 4*v - 2*v. What is h(l(r))?\nAnswer: -396*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -111354372 - 4?\nAnswer: -111354376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/171644 and 47\/396.\nAnswer: 1544796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36668 is divided by 1781.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*k + 56*k + 618 = 0. Suppose k - 93 = 10*i. Let d(z) = -z**2 + z. Let l(m) = -2*m**3 + 3*m**2 - 3*m + 4. What is i*l(p) + 3*d(p)?\nAnswer: -2*p**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000969 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ba6 - -d1?\nAnswer: c87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 18*r - 3. Suppose -2*w = -5*w, 4 = 2*p - 3*w. List the prime factors of h(p).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237242?\nAnswer: 2, 118621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 1:26 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.016 in 5, 0.4, 1154.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 43 = 4*z - 187, 0 = 5*z + 2*t - 198. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-9) - 451\/(-126) and 103\/1*4\/(-56).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 23*j + 18*j + 11 = 0, -5*j = -15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.13 + 0.13. Let f = 18 + o. What is the smallest value in -2\/11, 0.2, f?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -961, -1\/2, -5?\nAnswer: -961","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 10*s**2 + 4*s + 28. Let d(a) = -a**3 - 11*a**2 - 4*a - 30. Let c(j) = 2*d(j) + 3*v(j). Calculate c(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/336537 or -0.04?\nAnswer: 1\/336537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/15 (b) -7835 (c) 134 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1131*r + 12307. What is y(-11)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9177, -9204, -9255, -9342, -9477, -9672?\nAnswer: -9939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/(4\/3). Let j be ((-18)\/(-45))\/((-8)\/30). Let x(q) = -q**2 - 3*q - 3. Let g be x(-2). Put g, k, j in ascending order.\nAnswer: j, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8059, 8064, 8071, 8080, 8091?\nAnswer: 8104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 6) to base 4\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.2 + -16. Let n = r + 3.8. What is the second smallest value in 6, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13056043 less than 0.3?\nAnswer: -13056042.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bf4 + 2?\nAnswer: -bf2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 smaller than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**6\/120 - j**5\/10 - j**4\/12 - 7*j**3\/6 + 2*j**2. Let u be k(-6). Let w = -27 + 33. Solve u*t = w*t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.14, -0.5, 0, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 0 - 4\/3*f**3 - 5\/2*f**2 - 1\/12*f**4 + 3*f. What is the remainder when 28 is divided by w(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and ((-5)\/(-6))\/(145\/58)*54?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.1, -0.204, -3.5?\nAnswer: -0.204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 4*g**2 + 4*g + 7. Let s be c(5). Let u = 37 + -25. Solve -q - s*q - u = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/660 and -137\/1980.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1573450 * 0.2.\nAnswer: -314690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 18404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69523?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000292264001 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 0 + 2)*(0*w - w - 2*w) + 5*w - 2*w - 5*w - 4*w + 0*w + 3*w + (-w + 5 - 5)*(0 - 3 + 5) + (68*w - 114*w - 50*w)*(3 + 0 - 1).\nAnswer: -176*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 2. Let r be u(-4). Let i be 7 - 2\/4*r. Let v = 6011\/3310 + -523\/1655. What is the smallest value in i, -2\/3, v, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12268244 at least as big as 12268246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 12 + r + 8 + 4 - 24 + 11. Determine n(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {w: 2, i: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5917, -24765, -56169, -100117, -156597, -225597?\n\"Answer: 2*w**3 - 6290*w**2 + 8*w + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -110*i + 105*i - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-42) + 1353\/21. Let j = -323\/5 + s. Which is the closest to -1.7? (a) 0 (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + -3)**2 - ((-4*sqrt(112))**2 + sqrt(112)).\nAnswer: -1720 - 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(s + 2*s - 2*s) - 23*s - 3 + 5 - 12*s.\nAnswer: -36*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29693.\nAnswer: 23, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27201 is divided by 1753.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42720, 341448, 1152278, 2731260, 5334444, 9217880?\nAnswer: 14637618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 (base 11) in base 5?\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l - l - 4833 + 1639 + 1635 + 1559.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40194398 - 884510925\/22. Let u = h - -10647. Find the common denominator of u and 89\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33383 - 16740. Calculate the highest common factor of g and 187.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004368 to seven dps.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -8 + 20 + 7*a - 10. Suppose z + 3*x = 2*z, 0 = -4*z + 2*x + 10. Let v(t) = -4 - t + z - 2*t. Determine -4*f(s) - 9*v(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 5) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/14)\/(165\/70)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 200*u - 203*u - 18 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -25, 0.85, -17?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 630698 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2585429335 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24 - 18) + (1 - 5). Find the third derivative of 18*b**6 + 20*b**6 + 31*b**3 + 2*b**2 - 10*b**n + 4*b - 36*b**6 - 138*b**3 wrt b.\nAnswer: 240*b**3 - 642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3022 + -133?\nAnswer: 2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 73 = -5*p + 4*p, 5*p - 53 = -2*y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*c = -26. Let s = -675 + 661. Let x = c + s. Solve -5*o = -g - 4*o, g = 4*o - x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 14*z**2 + 15*z - 212. Let r be v(14). Suppose -10 = 5*u - 5. Sort -3, 4, u, r.\nAnswer: -3, r, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.551 - -4.449. Let j = -12 + 4. Let a = j - 1. What is the closest to a in 1, -1\/5, k?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2537*i + 2542*i = 2*g - 52, 22*i + 268 = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28 - 17 + 4*f**2 - 16 - f + (2 - f - 2)*(12*f - 5*f + 8*f).\nAnswer: -11*f**2 - f - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139116 is divided by 69386.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 249.9 and 18458.\nAnswer: 18707.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-156)\/(-208))\/(2*246\/(-32)).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-582)\/(-21) + 4\/14. Suppose 0 = -4*q - 5*u + 63, -z = -q + 3*u + 9. Suppose -q*v + 19*v + 210 = 0. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.201 take away -0.2012?\nAnswer: -85.9998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50? (a) -2\/9 (b) -2 (c) 6.87 (d) -2\/23 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 569.7516l to millilitres.\nAnswer: 569751.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10000101010000001011101 (base 2) to base 8\nAnswer: -20520135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {x: 2, f: 10, t: 4}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l - 35 + 30 - 2*l**4 + 0*l - l**2 in the form k + r*l**2 + o*l**4 + s*l**3 + d*l and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 2:30 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (12\/1740*(-25)\/10)\/((144\/(-9))\/384)\nAnswer: 12\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3. Suppose 0 = -4*x + 44 + 28. What is the remainder when x is divided by (-1 - y) + 3 + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*n**2 + 0)*(2 + 5 - 1) - 70*n - n**2 + 179*n - 3 - 82*n - 59*n as r + t*n**2 + i*n and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/6))\/q**4*(q\/(q\/(q\/q**(-1))))**44*(q**6*(((q*(q\/((q*q**(-3\/5))\/q))\/q*q)\/q)\/q)\/q)\/((q*q*q*q**0\/q)\/q)**(-1\/5) assuming q is positive.\nAnswer: q**(2719\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -5106?\nAnswer: 5101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-4)))\/v*v**(-2\/21)*v)**(3\/5)\/(((v\/(v\/(v*v**(2\/5))))\/v)**(-32\/3))**(2\/25) assuming v is positive.\nAnswer: v**(-5554\/2625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 12*w + 83. Let o be s(-13). Which is smaller: -238 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -699*b + 162. What is the hundreds digit of l(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/(-180)*(-18)\/44.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 - 9*j**2 - 4*j + 6. Let i be x(5). Suppose -i*r + 24 = -3*r. Solve -1 + r = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0, -2, -3 in descending order.\nAnswer: 0, -2, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = f - 4*d, -2*f - 4*d - 20 = 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 15\/(-35) - 234\/(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -188 or -10?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 824613 and 824626 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 2. Suppose -3*j + 19 + 2 = 0. Suppose -l + j = 3. What is the lowest common multiple of o and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 670*v - 675*v - 33 = 4*n, 4*n = v - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Let j = -0.056 - 22.944. Let c = j + 22. What is the nearest to c in h, -4\/3, 4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5581250 minus 96128?\nAnswer: -5677378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 28?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*j + 6. Let i be (3 - 1) + -8 + j. Suppose i = -2*d + 3*d. What is the nearest to d in -5, -4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -425.19247 times 0.05?\nAnswer: -21.2596235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 0.2 (c) 0.6 (d) -1\/73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 4\/1819713927?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**4\/4 + 14*x**3\/3 + 70*x**2. Let j be d(2). Calculate the greatest common factor of 272 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1803629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1677053?\nAnswer: 7, 239579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1080538271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-790)\/(-6))\/(14686\/(-1470) + 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41dad3c - 3?\nAnswer: 41dad39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**6\/9 + 2*g**5\/3 + g**4 - 8*g**3\/9 - 8*g**2\/3 + 92. Factor l(x).\nAnswer: 2*x*(x - 1)*(x + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 8, k: 5}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3371573 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*x**3 + 0*x + 213*x**3 + 27*x - 7*x.\nAnswer: 3*x**3 + 20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 365 and -1471.5353231.\nAnswer: -1106.5353231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -203?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, 5, -1161, -81, 1 in ascending order.\nAnswer: -1161, -81, 1, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 5*v**2\/2 - 10*v + 545. Let l(n) be the second derivative of -n**3\/3 + 3*n**2\/2 + n. Determine 10*l(s) + 3*u(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11550 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5278\/(-2639))\/((-1)\/3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = n + 2*n + 507, -2*n = 4*r + 330. Let h(q) = q**2 + 254. Let s be h(0). Let t = s + n. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76051625 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/5212294 and 85\/1132.\nAnswer: 10424588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + 0.4. Let n be 3\/(-4)*(-4 + 2). Which is the closest to -0.1? (a) 3\/5 (b) p (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 8 = -7*k. List the prime factors of ((-6)\/5)\/(k + 296\/300).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.8126 + -0.8126. What is the closest to 2\/3 in -0.1, s, 4\/51, 5?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - m + 0*m + 3*m + 9*m**2. What is the lowest common multiple of h(1) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244731*z + 244709*z - 489452*z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**4\/2 + 65*r**3\/2 - 281*r**2\/2 + 139*r\/2 + 40 = 0. Calculate r.\nAnswer: -1\/3, 1, 5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 22 + 0 - (13 + -10 - 10)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -696 divided by 8.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -y - 1. Let v be ((-2)\/(-8))\/((-1)\/y). Find the second derivative of -4*t - 3*t**v - 4*t + 4*t wrt t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -32, -5, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 4, 483, -95, -5, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 30*b + 25. Calculate z(-29).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1448*f**3*i**2 - 2*f**3*i - 4*f**3 + 4*f*i**2 + 50*f*i wrt i.\nAnswer: 2896*f**3 + 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 217?\nAnswer: -5\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-2) - (13 - 17). Calculate the highest common factor of l and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4 = -o + 2*t, o + 2*t = 12. Let d(a) = -a**3 + 6*a**2 - 6*a + 1. Is d(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + j - 4, -3*r = -8*r - 5*j + 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5887478?\nAnswer: 2, 2943739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 2*s**2 - 9*s - 18. Suppose 5*d - 12*d - 21 = 0. Let i be m(d). Let t be 2\/(-4) + (-7)\/(-2). Solve i = -o + l + 2*l + 2, -2*o + 4 = t*l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1054 = 25*w - 3904. Solve -11*n = -30*n - w for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0008844 kilograms to nanograms.\nAnswer: 884400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4868512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 884230283*u**3*y**3 + y**3 + 1656*y**2 + 5*y + 1 wrt u?\nAnswer: 2652690849*u**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/168 and ((-5)\/14)\/(864\/(-4914)).\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 - 7423417368?\nAnswer: -7423417368.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2518*l**2 + 5693*l**2 - 894*l**2 in the form d*l + k*l**2 + s and give k.\nAnswer: 7317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(-21)*(-27)\/(3 + 0). Let a(p) = 5*p**3 - 2. Let w(k) = 4*k**3 - 1. Give t*a(j) - 4*w(j).\nAnswer: -j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 - 22.7. Let g = h + 21. Put 15, 2, g in increasing order.\nAnswer: g, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 837 divided by -7\nAnswer: -837\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 - 30 - 15 - 27 + 5 + 2*k**2 to m*k**2 + d*k + l and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/10*18\/(-12 - -3).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 1:36 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 226?\nAnswer: -1356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -f**7\/14 - f**4\/3 - 5*f - 3. Let c(v) be the first derivative of k(v). Find the third derivative of c(m) wrt m.\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8407684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 + 234 = -2*x + 118 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183487 divided by -183487.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -0.660581493313.\nAnswer: -0.660581493313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 11*o**2 + 44*o + 4. Let q be j(-3). Which is the nearest to q? (a) 1\/3 (b) 1.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -689200 rounded to the nearest 10000?\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17\/924 + -27197\/9240. Find the common denominator of -41\/1240 and s.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -50*t**3 - 414680*t**2 + 165878*t - 16588 = 0.\nAnswer: -8294, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.45692 millilitres to litres.\nAnswer: 0.02645692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o + 18. Let s be t(-3). Let n(u) = -u**2 - 3 + s*u - 26*u + 2*u. What is n(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b71a2 (base 14) in base 15?\nAnswer: -14554b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*l - 4*p, 2*l - 3 = 3*p + 19. What is the remainder when 33 is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/20 + 1\/(-5). Which is smaller: 3\/26 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/4, 126695, 0.3, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 4:27 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4158.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/30*8\/3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than -55\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 8*m**2 + 8*m - 7. Let x be l(-9). Suppose x*t - 48 = -t. Suppose -48 = -4*k - 0*k. What is the least common multiple of k and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 87, 119, 147, 171, 191, 207?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*b - 4*w + 39287, -52376 = -4*b - 2*w. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (17*-12)\/4 - (11 - (-9 + 15)). Let w(u) = 40*u**2 - 5*u + 5. Let a(i) = 441*i**2 - 56*i + 56. Determine m*w(h) + 5*a(h).\nAnswer: -35*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 998 + -447. Suppose -2*z = -3*h + 249, -h = 3*z + s - 205. Let m = -79 - z. Calculate the remainder when m is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33685*x**5 + 25*x**2 + 73*x + 2?\nAnswer: -2021100*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3191, 6250, 5 in descending order.\nAnswer: 6250, 3191, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-49)\/(931\/38)*4\/18. Which is smaller: 1.5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 9 = -14*g. Let h(z) = -8*z - 1. Determine h(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeeiyiiioioiioiyoi. What is prob of sequence oo?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 372 + -520. Let n = a - -155. Let y(t) = 2*t - 5. What is y(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 511*k - 35248. What is w(69)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 9*y + 20. Let t be v(11). Which is bigger: t or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 21 = 5*n. Suppose -13 = -6*y + 5*y. Let g = n + y. Solve 4*l - 5 = -z + 1, -2*l + g*z = 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(2\/5))\/i)\/(i*i*i**5*i))**(-3\/2)\/(i\/i**(3\/2)*i*i\/(i\/(i*i**(-2\/7)*i))*i)**(-23\/6) assuming i is positive.\nAnswer: i**(3321\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42 in -2\/7, -2\/3, -0.03, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2 - 10*h - 16. Let f be j(-2). Calculate the common denominator of (-20)\/4 + 15\/f and 7\/13.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 6. Let h be u(4). Let r = -1217 - -1206. Let w(s) = 21*s + 230. Let m be w(r). Which is the nearest to m? (a) 2\/19 (b) 0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, i: 4, k: 2, m: 9}. Give prob of picking 3 m.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6\/5)*q**(-29))**(-46) assuming q is positive.\nAnswer: q**(6946\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1145128 is divided by 6935?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*m**4 + 2*m**3 - 105*m wrt m.\nAnswer: -216*m**2 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkjjhkkkhkjkkkkjrh. Give prob of picking 2 j and 1 k.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 269, 1075, 2419, 4301, 6721, 9679?\n\"Answer: 269*b**2 - b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -5, 5, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357*r**3 - 177*r**3 - 179*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -a57 (base 11) in base 9?\nAnswer: -1663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -2 + (-5 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (34\/68)\/((-2)\/(-16)). Suppose 13*d - u + 56 = 0. Sort 9, -1, 0, d.\nAnswer: d, -1, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/131, -0.04483, 2, -4\/5 in ascending order.\nAnswer: -4\/5, -0.04483, -3\/131, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47*(-35)\/(-24675) - ((-51)\/45)\/1?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajjjaajkaja. Give prob of sequence jj.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 8 - 4*i**3 - 6*i**2 + 8*i**3 - i**3 - 2*i**3 + 4*i. Calculate the remainder when 109 is divided by l(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + -1 + sqrt(117))*-1.\nAnswer: -3*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1289 is divided by 423?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddd. What is prob of picking 3 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70.39 - -0.06.\nAnswer: 70.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71966 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2638 rounded to one dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2079 (b) -10 (c) 5 (d) -5 (e) 144\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 226195?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 7, 0.56, -0.9, 3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/1*5\/(-15))\/1. Factor 2\/5*v**5 + 0 + o*v + 2\/5*v**4 - 2*v**3 + 6\/5*v**2.\nAnswer: 2*v**2*(v - 1)**2*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 7*r**2 + 15*r + 13. Let q be g(4). Suppose 3*o = 2*t + 75, -10*t + q = o - 8*t. What is the highest common factor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3, -25, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**5 - 174*l**4 - 372*l**3 + 714*l**2 + 369*l - 540 = 0.\nAnswer: -3, -1, 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**4\/12 - 7*w**3\/6 + 6*w. Let j(y) = -y**2 - 4*y. Give -4*i(x) + 7*j(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 44051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 2 = 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-398 + 398 - 23*v**4)*(v - v + v) - 6*v**3 + 2*v**5 + 6*v**3 + 0*v**2 + 0*v**2 - v**5.\nAnswer: -22*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/(-7)*30\/8. Suppose 4*p - r = -p. Suppose p*j - 114 = -3*j. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4254 (base 7) in base 10?\nAnswer: -1509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 151b91a9 + 2?\nAnswer: 151b91ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1111000?\nAnswer: -1111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 4. Let k be d(0). List the prime factors of (k\/6)\/(1\/(-18)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2251 and 2235 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + m**2 - 4*m - 3. Let k = 25 + -27. Give v(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9205, 18409, 27609, 36805, 45997?\nAnswer: 55185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3293 = 478*d + 25281 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, e: 1, k: 3, u: 1, l: 1}. Give prob of picking 1 e, 1 k, and 1 u.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 1. Let v(d) = d**2 - 6*d - 7. Let o be v(7). Let n be -1*(3 + -2 + o). Let c(z) = -z**2 + 3. Give n*c(r) + 3*k(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4735505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -2*g - 22. Let i(x) = -2 + 36*x**2 - 69*x**2 + g*x**2 + 4. Let q(r) = r**2 - r + 1. Determine i(y) - 2*q(y).\nAnswer: -3*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1598104836 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1.01, 2, -0.2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 1, y: 2, n: 4, w: 8}. What is prob of picking 1 c and 1 n?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) 5 (c) -13.9 (d) 6453\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12865, 12885, 12893, 12883, 12849?\n\"Answer: -w**3 + 27*w + 12839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.23, -7, -5, 0, 6 in ascending order.\nAnswer: -7, -5, 0, 0.23, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1804 is divided by 216.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-612)\/14790)\/((-12)\/5).\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/134208 and -79\/178944.\nAnswer: 536832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u - 10. Let k(z) = 4*z - 14. Let y(c) = 7*i(c) - 5*k(c). Let v(d) = -135*d**2. Calculate y(v(t)).\nAnswer: -135*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 8280*f - 8276.\nAnswer: -4*(f - 2069)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + z**4 - 2)*(-43 - 46 + 68).\nAnswer: -21*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -8935\nAnswer: 1\/8935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1539) + 2 - -5*(1 + sqrt(1539)))**2.\nAnswer: 1296*sqrt(19) + 55548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59\/2 - -29. Which is the closest to 0.1? (a) r (b) 0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7731*o + 92779. Give r(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/24)\/((-94)\/752)*126\/(-301)\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1744*r**3 - 4*r**6 - 1000*r**3 - 1098*r**3 - 425*r - 7*r**2 + 3*r**6 wrt r?\nAnswer: -120*r**3 - 2124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -862 divided by -1060\nAnswer: 431\/530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 53169 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3. Let m be -3*((-2)\/f + 1). Let x = 2264 + -2260. Solve -m*z + x*z - 1 = -v, -11 = -4*v + 3*z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 z, and 1 e when three letters picked without replacement from {e: 1, z: 3, d: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65 and 78304200.\nAnswer: 78304200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 469240860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 1\/696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -x - 4*g, 2*g - 2 = -0*x - 4*x. Let t(i) = -6*i**2 - 14*i**2 + 47*i**2 - 11*i**x. Let w(p) = -p**2. Calculate t(w(r)).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 94281544809*n**3\/2 - 94280316597*n**2\/2 - 614104*n - 2 = 0.\nAnswer: -2\/307053, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, -5, -3, 20.\nAnswer: -5, -3, 0, 11, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (-9)\/(-3) + 0\/(-2). Let m be 3\/(12\/16 + 0) + i. Suppose -m*b + 3466 = -1674. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -269 - -269. Sort -2, r, 226 in descending order.\nAnswer: 226, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 23 = 4*y. Suppose -5*m = -4*b - 36, -3*b + 2*m - 28 + 1 = 0. Let j = b - y. What is the least common multiple of j and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**4\/24 + 25*i**3\/2 - 743*i. Solve z(v) = 0 for v.\nAnswer: 0, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -0.2064833\nAnswer: -0.6194499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*-4*(sqrt(1331) + sqrt(1331) + -5 + -3 + sqrt(1331)))**2 + 0) + -4.\nAnswer: -8448*sqrt(11) + 192684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260 divided by 65.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/371384 and 131\/20426120.\nAnswer: 20426120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (5 - (6 - 15 - (0 - 0)))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*q**3\/3 - 326*q**2\/3 - 172*q\/3 - 2 = 0 for q.\nAnswer: -1, -3\/80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*n + 9 = -148*n + 2*p, -6*p + 32 = 7*n - p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 43?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-231)\/28*(-8)\/3. Is 12 a factor of (-10)\/55 - (-1060)\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/(a*a\/a**(-1\/17))*a)*a**(4\/7)*(a*(a\/(a*a**(-3\/2)))\/a)\/(a*a**1*a) assuming a is positive.\nAnswer: a**(31\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2301823554 - -31.\nAnswer: 2301823585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + ((-45)\/(-33) - -17)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 + 108. What is the remainder when f is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*q - 52 + 348 = -136 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 8*y + 1. Let r = 8 + -5. Suppose 3*j + r = -0*j. Determine u(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 + 3*m**2 - 2*m - 2. Let d be t(2). Let j = d + 20. Let x be 7\/(-14)*(-4)\/1. Solve -2*p + 2*h = -2*h + j, -x*p - 4*h - 2 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 511310 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*b - 0*b. Suppose -4*g + 23 = s, 2*s + 2*g - 11 = g. Differentiate -11*t**s - 4 - 4 + 0 - b wrt t.\nAnswer: -33*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a**2 - 6*a**2 + 7*a**2)*(9 - 2 + 1).\nAnswer: 64*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3800 divided by 380.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/11)\/((o*o*o**7)\/o)*o*o\/o**1*o*o*o**(-3) assuming o is positive.\nAnswer: o**(-86\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1243*l**2*p**2*y - 3655*l**2*p - 19*l**2*y + 468*l*p**2 - 769*l - 2*p**2*y + 9*p**2 + 2*p wrt l.\nAnswer: -2486*p**2*y - 7310*p - 38*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7*i**2 + 39*i - 3466. What is g(-24)?\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 10*t**2 - 7*t + 21. Let m(w) = -w**3 - 12*w**2 + 8*w - 19. Calculate 6*g(u) + 5*m(u).\nAnswer: u**3 - 2*u + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k + 3. Let j = 2 + 2. Suppose 3 = -j*w - 4*l - 1, 5*w + 2*l = 7. Determine v(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*d + 198*d = -3*u + 30637, -3*d + 20427 = 2*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 2*s - 1. Calculate the common denominator of ((-65)\/s)\/((-4)\/(-1)) and 13\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1485817*r**5*t**3 + 39*r**5 + 395*r*t**3 + 144*r + 9*t**2 + 16 wrt r.\nAnswer: -29716340*r**3*t**3 + 780*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6*i**2 + 3704*i - 65833. What is m(599)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1064)\/(-3705))\/56)\/((12\/(-9))\/4)?\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389740.\nAnswer: 2, 5, 13, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-448)\/(-144))\/28)\/(19\/(-19))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/(4\/120). Let l be -2 + -4 + (-11 + 5)*-11. What is the greatest common factor of p and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -80*h + 34040. Does h = 458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*h - 5. Suppose 2*o + 1 = -5*g + 7, 5*o + 16 = h*g. Suppose 4*a - 204 = g*b, -4*a + 3*a + b = -49. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1032, 2057, 3078, 4095, 5108?\nAnswer: 6117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + -5)*5\/(-35). Which is the closest to l? (a) 4 (b) 36\/5 (c) -0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10276794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of z**5 - 1018*z**4 - 469*z**3 + 796574*z**2 + 4.\nAnswer: 60*z**2 - 24432*z - 2814","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**2\/2 + 9. Let n(r) = 10*r. What is x(n(f))?\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 23*r**2 + 40*r + 41. Let g be x(21). Put -4, g, 5, 121, 2 in decreasing order.\nAnswer: 121, 5, 2, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, s: 4, x: 1, d: 2, t: 3, k: 3}. Give prob of sequence xdkd.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -130*t - 518. What is k(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -158 (base 11) to base 15.\nAnswer: -c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**2 + 718*w - 1972. What is p(-183)?\nAnswer: 590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51333 + -26033. What is b rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1701, -4224, -6747, -9270, -11793, -14316?\n\"Answer: -2523*l + 822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 8. Let c be z(5). Let r = 13 - 12. Let f be r + -4 - 13\/13. Sort c, -5, f in descending order.\nAnswer: c, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (2 - (-7 - -4)). Let l(s) be the second derivative of -1\/12*s**4 - d*s + 0*s**3 + 0 - s**2. Differentiate l(x) with respect to x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.30756 + -0.4.\nAnswer: -10.70756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -148\/1083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - -220?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 29. Suppose h*j + 78 = 2*t, -4*t - 5*j + 93 = -90. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c. Let l(v) = 2*v**2 + 3*v + 1. Let z(p) = -6*k(p) + l(p). Let y be z(2). Let u be 8\/(-12) + 0 + 4\/6. Solve 4*b - 4 = u, 4*o + 1 + 0 = -y*b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1662 is divided by 83?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2 - 76*v + 29. Let g be z(25). Suppose -h - 4*i + 9705 = -196, -5*h - g*i + 49489 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2346 = 5*m - 2411. Solve m*l = 31 - 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffwffww. Give prob of picking 2 w and 1 f.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*t - 11*t + 5*t + (5*t + 0*t - 2*t)*(0 + 2 + 1) + 3 - 3 + t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24164 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-32)*-2*(-40)\/4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -903\/4 - -4479\/20. What is the smallest value in p, 1\/4, 0.01, 1.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*p + 225, -5*o - 37*p = -40*p - 423. Solve 14*u = 4*u - o for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 + 27. What is the common denominator of 7*(-2 + l\/(-18)) and (-203)\/20 - 1\/(-4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*(sqrt(27))**2*5 - ((sqrt(1701) - 1*sqrt(1701) - sqrt(1701) - sqrt(1701)) + sqrt(21))\/(1*sqrt(567)).\nAnswer: 17*sqrt(3)\/9 + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 78\/(-8) + (-2)\/8. Let n(u) be the second derivative of u**4\/6 + u**3\/2 - 7*u. Let z(h) = -6*h - h**2 - 2*h**2 + h. What is w*n(p) - 6*z(p)?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*p - 65. Let v be 1*(-2 - -1)*-30. Let j = v - p. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -21*p + 56. Let x be 10\/(-3)*18\/4. Is a(x) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n. Let f(g) = -2*g**2 - 12*g. Give c(f(u)).\nAnswer: 2*u**2 + 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**3 + 68*q**2 - 336*q = 0.\nAnswer: -21, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -8. Let c = l - -45. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(42\/328))\/(56\/126).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 543 + -541. List the prime factors of ((0 + x)\/(-4))\/((-25)\/20050).\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179643536?\nAnswer: 2, 61, 103, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 464 + -454. Calculate the highest common divisor of 170 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-24)*p*p)**35\/(p**(-29)\/p**13) assuming p is positive.\nAnswer: p**987","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llrr when four letters picked without replacement from lrrrlrllrrll.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111010 - 130?\nAnswer: 110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/(3*sqrt(11)*-4) + (sqrt(495) + (sqrt(495) - -2*sqrt(495)) + sqrt(495))\/sqrt(11) + 1*sqrt(180) + sqrt(180))**2.\nAnswer: 57245\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10511 and 368.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 10*n - 21. Let t be i(-13). Suppose t = 3*o + 12. Calculate the highest common factor of 5 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 6. Let r(q) = 5*q - 1. Let a(x) be the first derivative of -11*x**2\/2 + 2*x + 187. Calculate j*r(n) - 3*a(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503640 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 9*m + 2. Let a be f(-9). Suppose 3*i = -u - 2, a*u - i = -6*i - 1. Let b(v) = v**3 - 6*v**2 - 7*v - 2. Give b(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 2 + 9 - 5\/1. Let r(c) = 0 + 2*c + 1 + 4*c + c**2. Let f(u) = u**2 + 7*u + 1. Calculate b*f(d) - 4*r(d).\nAnswer: -d**2 - 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 3938 + 26104 + 31968. List the prime factors of k.\nAnswer: 2, 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*j, -2 = 2*f - f. Let b(o) = 3*o - 11. Let i be b(j). Solve -11*c = -10*c + i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -1459.4, -6, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.4814 and 48.1.\nAnswer: 215.55534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412834 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -167\/3 (b) -62 (c) -0.1 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*h*v*x - 98*h*v + 4*h*x - 9*h - 2*v*x - 15*v - 2356*x wrt v?\nAnswer: 13*h*x - 98*h - 2*x - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/133*38)\/18?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -3, -1.1, 2\/5, -4\/19 in ascending order.\nAnswer: -3, -1.1, -4\/19, 2\/5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -10985\/6*z**3 - 13\/4*z**5 - 845\/8*z**4 + 0*z - 1\/24*z**6 + 76*z**2 + 0. Suppose x(b) = 0. What is b?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2902*r. Let f(o) = -2*o. What is f(b(g))?\nAnswer: 5804*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 476.205 - 0.205. Let i = -476.1 + a. Is i smaller than 77\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -398 + 421. Let o = 24 - -43. What is the remainder when o is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 254 + 245 - 3007*f**2 - 499 to the form b + o*f + v*f**2 and give v.\nAnswer: -3007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and 188.\nAnswer: -2632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2. Let k(s) be the second derivative of s**4 - 23*s. What is k(b(v))?\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -368, -4\/3, 3?\nAnswer: -368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -2*k - 4*f, -29*k + 35*k - 168 = 5*f for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2653 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qsyjtjytjjjgjjjtgg. Give prob of picking 1 t, 1 s, and 2 j.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 545 = -2*g, 2*u + 3*g - 207 = -0*g. Let l = -14 - -25. Let v = l + u. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -457 divided by 1?\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - -1 - 3) + 4. Let r = -2 + 34. Suppose 5*n + t*m - 44 = 2*n, 2*m - r = -2*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 2\/7 (b) 5 (c) -38\/9 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**3 - 2*b**3 + 8*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2428, 19384, 65406, 155026, 302776, 523188, 830794?\n\"Answer: 2422*q**3 + q**2 - q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -35 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6007910 and 58276727?\nAnswer: 582767270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.388887 decades in centuries?\nAnswer: 0.4388887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6640.818 litres?\nAnswer: 6640818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 213*w - 25*w**2 - 188*w + 23*w**2 + (-w + w - w)*(2*w - 2*w - 13*w) - 3*w**2 + 3*w**2 - 2*w**2.\nAnswer: 9*w**2 + 25*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -300 + 289. Let q(h) = 2*h**3 + 23*h**2 + 9*h - 20. Let t be q(v). Solve -15 = 5*u - s, 7 - 1 = -t*u + 4*s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12.005 and 0.6669774666.\nAnswer: 12.6719774666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1587195\/19 - 83559. Let r = z + 2933\/152. Calculate the common denominator of (96\/(-50))\/((-51)\/(-15) - 3) + -5 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -180*w**2 - 2*w - 28. Let u(n) = n. Calculate u(m(i)).\nAnswer: -180*i**2 - 2*i - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*f + 140 = 5*d, 3*d + f = 70. Suppose -45 = -51*g + 48*g. What is the greatest common factor of g and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 8*g - 7. Suppose -4*k = -k. Suppose -5*i + 37 = -k*o - 3*o, 0 = -i + 2*o + 6. Suppose 14 = a + i. What is z(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 41\/(-16))*120\/(-4). Let l = 2613\/152 + g. Let t(h) = -h + 21. Let q be t(20). Is l smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10296559 is divided by 132007.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -23)*(-4)\/(-9) - (-9088)\/(-213)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 + -62.7. Sort -7, -2, 0, h.\nAnswer: -7, -2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -5. Let h be 7\/4 - (-1)\/(-4). Let t(w) = -492*w - 10329. Let f be t(-21). What is the closest to k in f, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b0d52 (base 15) to base 5.\nAnswer: -1013004002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + sqrt(99) + sqrt(11))**2 + (sqrt(198) + sqrt(198) + -1*sqrt(198) + sqrt(198))\/sqrt(2).\nAnswer: -2*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13258 + -1?\nAnswer: 13257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**5\/40 + s**3\/6 - 18*s. Let x(a) be the second derivative of y(a). Let h(o) = -o. Determine x(h(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700)*1*-3 - (-1 + sqrt(1700))*-2)**2.\nAnswer: 40*sqrt(17) + 1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c - 5. Let g be i(-5). Suppose 15 = w - 4*p, -3*w - g = -6*w + 2*p. Solve 0 = -4*v + w*b - 20, -5*v + 6*b - 22 = 3*b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2301\/295)\/(-3*18\/900)?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6\/13))**(-21)\/(d**(21\/4)\/(d\/d**(-1\/10)*d)) assuming d is positive.\nAnswer: d**(1701\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 5 - -12 - 5. Suppose -26 = -4*m + 4*g - o*g, 0 = -4*m + 5*g + 34. Let f be (1 + 0)*(1 + -1). Solve t + 5 - m = f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 != -11\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 less than 4319046254?\nAnswer: 4319046255.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 0)*(5 + 1 - 4)*(0*s - s + 4*s).\nAnswer: -30*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.07 (b) 0 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 29, 77, 135, 209, 305, 429, 587, 785?\n\"Answer: a**3 - a**2 + 44*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 519, -4, -76, 4, -538 in decreasing order.\nAnswer: 519, 4, -2, -4, -76, -538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 58700 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1000633?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - m**2 - 2*m + 2. Let n(c) = -2*c**4 + 100*c**3 - c**2 - 6*c + 20. Let s(u) = 3*k(u) - n(u). Find the third derivative of s(t) wrt t.\nAnswer: 48*t - 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/6 and -155\/437544?\nAnswer: 437544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - r - 1. Suppose -19*p - 4 = -23. Let q(w) = w**2 - w - 1. Let h be q(p). Give y(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2 - 345247*g - 345246 = 0. What is g?\nAnswer: -345246, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 - 99*u - 100. Let q be f(-1). Is -3\/173 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(1\/6))*a)**(10\/3)\/(((a*a**36*a)\/a)\/a**(7\/6)) assuming a is positive.\nAnswer: a**(-595\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126945 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 37 = 37 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -25*n + 7*n + 16 - 8 - 16 - n**2. What is x(-16)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -622 - -60. What are the prime factors of c\/(-12) - (-8)\/48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 8*w + 24. Let c be r(-2). Is c less than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 13, -321, 5 in decreasing order.\nAnswer: 13, 5, 3, -5, -321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 242813 or 0.24?\nAnswer: 242813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/189)\/((-4)\/(-30)). Let t = 2\/7 + u. Suppose 23 = 4*k + 15. Which is the second smallest value? (a) k (b) -1\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/313 or 181410?\nAnswer: 181410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -51174 divided by -4?\nAnswer: 25587\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**2 + 360*z + 355 = 0. What is z?\nAnswer: -71, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 260*o - 692. Let t be y(4). Solve -22*n - 36*n + t = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27917975497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2 + 40*t - 76 = 0. What is t?\nAnswer: 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15469 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -668 + 954. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -10023 (b) 2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 55 = -4*p, z = -758*p + 765*p + 67 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*((r\/(r\/r**8)*r)\/r)\/r*r)\/r**(-2\/49))\/(r*r*r*r\/(r*(r*r**8)\/r)*r**(-4\/5)*r) assuming r is positive.\nAnswer: r**(3391\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -27\/2729281 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + 9. Let y = -18.8 + -5. Let p = i + y. What is the smallest value in p, -1, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -32*v**3 - 2*v**2 + 2. Let j(x) = 31*x**3 + 3*x**2 - 3. Determine -3*h(k) - 2*j(k).\nAnswer: 34*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 275, 1111, 2503, 4451, 6955?\n\"Answer: 278*v**2 + 2*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7901 + 3600 = 7*l. What is the greatest common divisor of l and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1001708 and -42177253.\nAnswer: -43178961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 3:20 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 354651437379 and 0.2.\nAnswer: 354651437379.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 37447327.\nAnswer: 37447324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -19, -1, -22 in descending order.\nAnswer: 1, -1, -19, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/9, -2\/3, 5\/3.\nAnswer: -5, -2\/3, -2\/9, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1109.246 + 1136.3. Let x = f + -27. Round x to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 8*m + 1. Let f be s(0). Suppose 3*z = 32 - 11. Sort f, z, -5 in increasing order.\nAnswer: -5, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 731, 729, 743, 773, 819, 881, 959?\n\"Answer: 8*g**2 - 26*g + 749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttthhttthtthtthth. Give prob of sequence hh.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-27)\/45)\/(4\/(-80)*6). Factor 0 - 4\/17*o**r - 2\/17*o - 2\/17*o**3.\nAnswer: -2*o*(o + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7429152 is divided by 1007?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 489493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l + 4187 = 4136 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61.9 - 56.9. Which is the second biggest value? (a) -1 (b) u (c) 4\/5 (d) 2.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.6, -45\/13, 13\/3, -2?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 + 92. Suppose -3*y - 3*c = -21, -5*c + 18 = y - 5. Suppose -4*k + f + 139 = k, -2*k = y*f - d. Calculate the remainder when k is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.12 + 0.05. Let b = i + 0.07. What is the closest to -0.1 in b, -2, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6228 - 37489\/6. Let o = 245\/12 + g. Suppose -f - w = 0, -3*f - w = -6*f - 16. What is the closest to o in f, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/636*804\/603)\/(-1).\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*d + 25400 = -700*d for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 - (-85 + -38) - 116.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/4 + 1\/2*(-152)\/(-19).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0.05791, -0.01, -13, 2\/13, 2, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhvhghogh. Give prob of sequence ho.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3172 + 2302 = 161*q for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**5\/60 + y**4\/12 - 2*y**3 - 3. Let f(g) be the third derivative of d(g). What is the tens digit of f(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -160 - -165. Which is the closest to 0? (a) -3\/2 (b) h (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/10)\/(1\/(-4)). Let k = -30 + 31. Sort k, -4, u in decreasing order.\nAnswer: k, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*w + 315, 5*k = 563*w - 565*w + 135. What is the smallest common multiple of w and (30\/(-25))\/(1\/(-75))?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.13 in 105, -12.18, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.030591761 to five dps.\nAnswer: 0.03059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/46 (b) -7 (c) -0.23 (d) -16 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18792 by -24.\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08023 rounded to three decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 9*r - 12. Let y be u(-8). Put y, -3, 1 in increasing order.\nAnswer: y, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 42, 64, 90, 120, 154?\n\"Answer: 2*g**2 + 16*g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 1. Let b(t) = -t + 3. Let a(g) = 3*b(g) - 7*n(g). Suppose -7 = 3*d + f, -2*f - 6 - 2 = 3*d. Give a(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkk. What is prob of picking 4 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -119, -146, -5, -4 in ascending order.\nAnswer: -146, -119, -5, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (1 + -2 + 13). Let f = k - -9. Let y be (-3)\/18 - f\/(-24). Which is smaller: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 1775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*h**4 - 27*h**4 - 19*h**4 - 10*h**3 - h + 3*h**2 + 1 - 34*h**4 in the form r*h**4 + u*h**2 + w*h**3 + m + c*h and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 12) to base 10\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002435 rounded to 6 decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 495, 494, 493?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c + 2. Let y(v) = -7*v - 2. Let r(o) = -4*l(o) - 3*y(o). Let z(w) = w**2 + 4*w. Let u be z(-3). What is the units digit of r(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*h + 394, -2*h = 20*p - 15*p - 144. Solve -22*v + h + 28 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.253 - -0.153. Is j >= -2.29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3\/13 - 1172*w**2\/13 + 63698*w\/13 + 669672\/13 = 0.\nAnswer: -9, 71, 524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3981400 rounded to the nearest 10000?\nAnswer: 3980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9113a6 + -1?\nAnswer: 9113a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 223927 - 159011. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**4\/12 - 2*n**3\/3 + n**2 - 12*n. Calculate r(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 6*c**2 + 5*c + 50. Let w be s(8). Let h be w\/(-40) + 3\/(-15). Suppose -1\/4*k**2 + 0*k - h*k**3 - 3\/4*k**4 + 0 - 1\/4*k**5 = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 27 = -18*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 p, and 1 i when three letters picked without replacement from {p: 1, i: 2, q: 7, c: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24424 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775193?\nAnswer: 775193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3514247 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*r + r, -4*r + 5*u = -13. Solve 3*d - 4*y = 11, d - 8 = -3*d + r*y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -12, 4 in descending order.\nAnswer: 4, -1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/28 and -89\/14392?\nAnswer: 14392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2*m + 4)*(4 - 3*m**2 - 4) + m**2 - 2 - m**3 - m**2 to d + y*m**2 + z*m + u*m**3 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 2*p + 7*p)*(14 + 0 - 38) + p - 11 + 11 - 3*p + p + 4*p + (0*p + 2*p + 0*p)*(2 - 2 + 1) + 5*p - 2*p - p - 5*p + 2*p + 0*p.\nAnswer: -44*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + 1 + r)*(-14 + 2 + 4)*(-36*r + 36*r - 13*r**4).\nAnswer: 104*r**5 + 104*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3*c = -4*b - 19, -1 = b + 4*c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 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: Rearrange -47 + 12*w**3 - 48 - 8*w**2 - 13*w**3 + 8*w**2 to the form v*w**2 + n*w + i + u*w**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4528, -198, -3, 4, -2\/49, -1\/4?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*w + o, 4*w + 2*o - 3*o + 58 = 0. Let n(a) = -2*a - 1. Calculate the lowest common multiple of n(w) and (-67)\/(-2) + ((-33)\/6 - -5).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 94 + 2?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + (-7)\/(-3))*-60. Suppose j + 5*p - 13 = 0, -4*j + 32 = -4*p + 4. Calculate the highest common factor of j and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-96)\/8*(-11)\/(-22). Let u(b) = -9*b**2 - 21*b - 11. Let t(v) = 4*v**2 + 10*v + 6. Let k(f) = 7*t(f) + 3*u(f). What is k(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -188173436.\nAnswer: -188173434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/381652 and -51\/4?\nAnswer: 381652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0 + 6 = 0. Let u be (-360)\/(-42) + 288\/(-112). Solve t*p + 16 = u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + d**2 + 4*d**2)*(4*d + 4*d**2 - 4*d) + d**2 + d**2 - 2 + d**4 + d**4.\nAnswer: 6*d**4 + 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1522*z**3 - 13*z**2 - 5*z - 79. Is d(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318882911.\nAnswer: 13829, 23059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t**2 + 3*t + 106. Does 24 divide f(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 9:05 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2204*u**2 + 2787*u**2 + 2 + 2676*u**2 - 543*u - 372*u - 669*u wrt u?\nAnswer: 6518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*z + 4851 - 1755 = 0 for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**4\/12 - 5*o**3\/6 - 3*o**2\/2 - 1119*o. What is f(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 3*y + 4*k, 122 = 4*y + 6*k - 4*k. Let f = 91\/3 - y. Let l = 6\/1715 + -3532\/29155. What is the smallest value in l, -0.4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47577*9.\nAnswer: -428193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1537415 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 4*k + 27 = 0, -5*x + 49*k - 135 = 53*k for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * 635\nAnswer: -25.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 484586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15919919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/5 (b) -0.1 (c) 0.5 (d) 3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 239, 481, 723?\n\"Answer: 242*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-5))\/(-90)*(-7560)\/(-4914)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7395*v**3 - 1 + 2*v - v + 7388*v**3 as l*v + b*v**2 + g*v**3 + s and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-4 - (-2 + -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9471 and 6161472702.\nAnswer: 9471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -23 + 26 - 65\/24. Let y = a + -23\/24. Which is smaller: y or -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7067350 rounded to the nearest ten thousand?\nAnswer: 7070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5453, -21805, -49057, -87209, -136261, -196213?\nAnswer: -267065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 308987043 to the nearest integer?\nAnswer: 17578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/(-42))\/(-3))\/(2\/(-12))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of x**4 - 2014*x**2*z - 4*x**2 + 10*x*z + 5277*z - 14 wrt x?\nAnswer: 4*x**3 - 4028*x*z - 8*x + 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 202458089 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a day in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 2*d - 4*d)*(-81*d**4 - 34*d**4 - 144*d**4).\nAnswer: 1813*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -129, -128, -127, -126, -125?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000595 rounded to five decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 - 3)*(0 - 2 + 3) - 2 - 2 + 3 + 0 + 3 - 5 + 2 + 3 - 3)*(-2 + 1 + 3)*(-4*r**5 + 5*r**4 - 5*r**4).\nAnswer: 24*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - (-200 + (-45 - -52) - -27)?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 16. Let h(s) = -4 - s**2 - 2*s + 2*s. Determine h(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from yaaayymmeyymeayaea.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 495 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 2*r + 138, 3*m + 5*r = 6*m - 89. Calculate the smallest common multiple of 16 and m.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -452507\/59676 - 3\/4973. Calculate the common denominator of 37\/28 and i.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5 + (-5 - (-195)\/18) and 0 + 0 + (-46)\/36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8313 is divided by 59.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*o - 82*o + 3026 = -454 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 7*a**2 - 7*a + 2. Let b be j(6). Let i(t) = 2*t**2 + 8*t + 2. Let c be i(-4). Put b, c, 8 in ascending order.\nAnswer: b, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 - 13548*u**2 + 11519040*u - 79970800.\nAnswer: 4*(u - 1690)**2*(u - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9186116.\nAnswer: 2, 2296529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 16585 - 17089 + 19*t - 20*t + (4 - 3 + 1)*(t + 0*t + t) as d + g*t and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5137\/5 - -1027. Which is smaller: 0.0121 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/(-20))\/((-1)\/8). Let s = b + 6. Let f(p) = p**2 - p + 6. Calculate f(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 359457*h*r**3 - 276187*r**3 wrt h.\nAnswer: 359457*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 889 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1450 is divided by 478.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + z. Let y be w(-1). Suppose y = -4*i + 5 + 3. Solve -8 = -i*k - 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3422483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 - 3. Let s be 1\/(-2) - 10\/4. Let m(v) = 6 - 6*v**2 - 5 - 9. Let j(r) = s*m(r) + 8*x(r). Let b(p) = 3*p**2. What is b(j(w))?\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 7. Let i = -1 - -6. Let h be m(i). Solve h*r - 2 = -2*g - g, -g + 4 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 1, -0.5, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -0.3 (c) 62 (d) 2 (e) 93\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*x**3\/5 + 4642*x**2\/5 + 383792*x\/5 - 165336\/5.\nAnswer: 2*(x + 166)**2*(7*x - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14739, 15250, 15761, 16272, 16783?\n\"Answer: 511*i + 14228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/11 and -47\/665.\nAnswer: 7315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + 1 + sqrt(3).\nAnswer: 1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 - 21*d**3 - 3*d**2 + 21*d.\nAnswer: 3*d*(d - 7)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1327.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2507, 20099, 67839, 160799, 314051, 542667?\nAnswer: 861719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(156)*-2 - (2*sqrt(117))\/sqrt(3)))\/(2*sqrt(96)\/(sqrt(4)\/sqrt(2))).\nAnswer: 9*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3150898 and 38974?\nAnswer: 40961674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 414467\/13 at most as big as 31882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -861 in 6, 63, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -575, -1144, -1709, -2270, -2827, -3380, -3929?\n\"Answer: 2*t**2 - 575*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1040288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5\/11 + 32*v**4\/11 - 188*v**3\/11 + 488*v**2\/11 - 530*v\/11 + 200\/11 = 0.\nAnswer: 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32461 + -12213?\nAnswer: -45004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 3*u - 7*u + 105098 = 0. List the prime factors of u.\nAnswer: 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -266 - -549. Suppose 0 = -3*u - g + 103 + 314, -g - s = -2*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 j, and 1 c when three letters picked without replacement from {y: 5, c: 1, j: 5, v: 4}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/7 (b) -13 (c) 2\/13 (d) 4 (e) 43 (f) 0.403\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v**5 - 549*v**4 - 1825*v**3 - 1991*v**2 - 798*v - 64 = 0. What is v?\nAnswer: -1, -2\/19, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135564 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 64)\/(-6) + 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 15 = 5*y, 3*y - 2*w + 18 = -3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.358 and -2191.\nAnswer: -2190.642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q - 9. Let r be l(-2). Let i be (3 - 1) + (r - -1). Suppose 0 = -2*o - z + 5*z + 418, i = -5*o - 4*z + 989. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - 0.3. Let t = 2.9952 - 3. Let v = t - b. Round v to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282984141 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: What is -3 (base 14) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461171644 to the power of 1\/4, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c**2 - 11*c + 31. Let s(m) = 5*m**2 + 19*m + 4. Let z be s(-4). Is f(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 10. Suppose 15*f + 223 = 1483. Suppose -2*a + j = -f. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 20. Let s be f(-10). Suppose -s*b + 20 = -9*b. Suppose 0 = -2*h + b + 26. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.32 - -4.842. Round u to one dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33764 is divided by 11251.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211232 - 20200?\nAnswer: 131032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -13 - (-1 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3763 divided by -1925.\nAnswer: 3763\/1925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 28ce (base 15) in base 8?\nAnswer: 21050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/20492 and 43\/5968295.\nAnswer: 23873180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + x - 6. What is g(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 19*h. Suppose -q = 2*l - 64, 0*q + 2*l + 146 = 2*q. Let v = -53 + q. Let g(y) = -v*y - 25*y + 40*y. Calculate g(z(p)).\nAnswer: -38*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - 1)\/((-1)\/(-1)). Suppose -8*p = i - 3*p - 44, -o*i - 5*p + 140 = 0. Let z be ((-2)\/(-4))\/(2\/i). Calculate the greatest common divisor of z and 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 + 2*d**2 - 2*d**2)*(-4*d + d + 2*d) + 25*d**2 - 23*d**4 - 6*d**4 - 23*d**2.\nAnswer: -31*d**4 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 29*n**2 - 12*n. Let t(y) = 26*y**2 - 9*y. Let j(k) = -3*i(k) + 4*t(k). Let l(g) = 8*g**2 + 4. What is l(j(h))?\nAnswer: 2312*h**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/3, -3, -54.72, 0, -1\/9?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1584483 is divided by 1584469?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5622 - 0.2622. Which is the fourth smallest value? (a) 0.5 (b) 6 (c) y (d) 2\/5 (e) 0.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 - 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 15 = 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzyxyzes. Give prob of sequence zyse.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -302187*n + 302186*n + 21, 5*b - 11 = -66 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence at when two letters picked without replacement from ttaa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -13\/5*a**4 + 0 - 1\/5*a**5 - 15*a**2 + 0*a - 11*a**3 = 0.\nAnswer: -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -804*l + 2262. Let b be u(3). Which is greater: b or -149?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -87?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/208)\/((-2)\/((-32)\/(-4)))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27297203.\nAnswer: 1811, 15073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 + -71.75. Let l = x + -0.15. What is l rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*(-1 + 10\/15 - -1). Let o be 760\/150 + m\/(-10) + -4. Let -k**5 - 1\/3*k + 2\/3*k**2 + 4\/3*k**3 + 0 - o*k**4 = 0. What is k?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*m**2 + 42632\/11 - 584\/11*m.\nAnswer: 2*(m - 146)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 11, b: 9}. Give prob of sequence bb.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, t: 3, u: 2, f: 3}. Give prob of sequence fif.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.8 - 29. Let z = 2.7 - 3. Which is the closest to -0.3? (a) 3\/5 (b) f (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5280207\/7 + -751427. Let i = v + -2894. Suppose -4*t = t - 50. What is the common denominator of i and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61\/2 + 29. Which is the nearest to 0? (a) 0.5 (b) -6\/13 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.420864239 != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -188 or 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 - 3*k - 10. Let s be l(3). Let b be s\/(27\/(-6)) + (-14)\/63. Solve j - 5*n - 20 = -2*j, 4*j - 3*n - 12 = b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12886 and 544.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -8. Suppose a*c - 89 + 37 = 0. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -8, 4*z + 3*a + 24 + 4 = 0. Let b be 3\/6 + (-27)\/(-2). Is 16 a factor of b\/(-5)*(z - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23326, -24998, -26670, -28342?\n\"Answer: -1672*k - 21654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 1. Let q(j) = 24*j + 3. Let k(i) = -4*c(i) + q(i). Is k(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 107310, 12\/25 in descending order.\nAnswer: 107310, 12\/25, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -153000 to the nearest one thousand.\nAnswer: -153000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 7 - 3 - (-77 - -90)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60123 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Suppose 2*u = 5*r + 4, u - 4*r = -0*u + o. What is the common denominator of 59\/(88\/(-4) + u) and 73\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.09 + -14.8.\nAnswer: -8.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 - 25*j + 5. Let h(m) = m**2 - 13*m + 2. Let n(b) = -4*d(b) + 7*h(b). Let a be n(8). Solve -a*o = o - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*b + 117*b + 1 - 11*b + 1.\nAnswer: 128*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 46965801\nAnswer: -328760607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 8*h + 0*h + h + h + 0*h + (3 - 2 - 3)*(-4*h + 3*h + 3*h) + 88*h + 119*h - 139*h)*(-h**3 - h + h).\nAnswer: -57*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(132)\/sqrt(3)))**2 + (2*sqrt(833) + -5 - sqrt(833)) + -6*((1 + sqrt(833) - (-1 + sqrt(68) - sqrt(68))) + -5)**2.\nAnswer: -20211\/4 + 259*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -0.0406799.\nAnswer: -0.1406799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31095 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2. Let x(d) be the second derivative of 625*d**4\/12 + 180*d. Determine i(x(g)).\nAnswer: -781250*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 20*w**2 - 18*w + 6. Let z be a(19). Let k = 29 - z. Let 12*r**3 + k*r**5 - 4*r - 12*r**2 - 4*r - 8*r**3 + 12*r**4 = 0. What is r?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649 is divided by 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2829? (a) 1 (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/10*48 - -9\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -4*w - 5*v, -2*w - 3*v - 27 = -w. Let j = w - -17. Let y(f) = -f**2 - 3*f + 3. Let a(o) = -3 + 6 - o**2 - 2*o - 1. Calculate j*y(t) - 3*a(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 5*j**3\/6 + 2*j. Let a = -668 - -681. Let d(c) = a - 19*c - 13 + 15*c. What is n(d(x))?\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 14*r**2 - 37*r - 39. Calculate v(-16).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901582 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/27*-3)\/1*-9. Suppose r*w - 17 = 5*l, 3*l + 2*w - 4 = 1. Which is greater: l or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20196*o**2 + 2*o + 2296 wrt o.\nAnswer: 40392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13449 + -13459 - (22 + 1 - 1 - 2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 5:19 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c = -72. Suppose -3*b + 448 = -5*k, 0 = 3*b - 6*k + 2*k - 452. What is the highest common factor of c and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q + 2 = 0. Suppose n + 4*n + 5*y = -15, 24 = 2*n - 4*y. Let c be (-3)\/n*2 - -6. Calculate the highest common divisor of q and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 16*c + 81. Let p(q) be the third derivative of q**5\/30 - 3*q**2 - 425. What is p(o(j))?\nAnswer: 512*j**2 + 5184*j + 13122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44.502709 + 44.5. Round m to 4 dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 7:32 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1040652 is divided by 1339?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + -1. Let k = 27 - 16. Let p = k + n. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5079 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 3*r - 26 + 31 - 5*r.\nAnswer: -4*r + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7823492409 to the nearest integer?\nAnswer: 1985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092834 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 139355999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-8 + 4)) + (-13 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 51*b**5\/2 - 1205*b**4\/24 + b**3\/6 + 60*b**2 - 20. Find the second derivative of f(q) wrt q.\nAnswer: 3060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) -2\/3 (b) -0.3 (c) 0.5 (d) 0.12 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 8 = m, -2 - 12 = -x - 3*m. Solve -x*k - k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.7 - 11.7. Put k, -5\/6, 6 in descending order.\nAnswer: 6, -5\/6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439937 a multiple of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*r - 122*r - 423*r + 35*r.\nAnswer: -440*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1179 + 1336. Calculate the remainder when n is divided by 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 12*z - 6 + 1 to f + g*z and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -11\/5, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - 6\/(-36)*0. Let l(p) = -4*p**2 - 7*p - 4. Let g(o) = o**2 + o + 1. Calculate i*g(y) + l(y).\nAnswer: 2*y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 6 + 4)*(-7*s - 7 + 7) - 13*s - 29 + 29 as u*s + p and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3382776 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 - 0.6. Let v = -12.5 - -13. Which is the second smallest value? (a) -2.1 (b) v (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -276289\nAnswer: 1\/276289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -7*a + 5*a + 302, a = 5*x - 367. What is the remainder when x is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 6, 1.7, 36 in descending order.\nAnswer: 36, 6, 1.7, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2 (b) 2\/3 (c) -170 (d) 2\/7 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 272 - 253. What is the closest to -3 in -0.2, 0.1, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24201121 (base 8) to base 4.\nAnswer: 110100021101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 15*t - 3 = 0, -65 = -4*h - 5*t. Calculate the remainder when h is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*r - 2, 2*j + 3*r = -2 + 6. Solve -3*u = -5*y + j*u + 10, -y = 3*u - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14367.5 + 14368. Which is the third biggest value? (a) 0.4 (b) 38 (c) -3 (d) 0 (e) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -233*j**2 + 6*j - 3. Let d be v(-9). Let z be ((-1260)\/49)\/(1\/d). Round z to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -1483?\nAnswer: 1481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 117020 * 0.4\nAnswer: 46808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -10*n + 256. Calculate the smallest common multiple of 160 and j(24).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -756*g + 758*g - 112 = 0. Is 56 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 - -0.32. Let h = 2.4 + -2.8. Which is the third smallest value? (a) h (b) -3\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10845 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3942409685 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(-449*k - 510*k - 44*k) + 2*k + 1 - 1.\nAnswer: -2004*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*4\/6*57?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 299*s**2 + 969*s**3 + 299*s**2.\nAnswer: 969*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94495513?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106 + 8*j - 59*j - 105 + 2*j**2)*(43 - 135 + 68)*(0*j**3 - 4*j**3 + 0*j**3).\nAnswer: 192*j**5 - 4896*j**4 + 96*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 15) to base 14.\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 9 = 3. Let o(m) = -4*m**2 + 7*m + 0 + 5 - m**3 - 4*m**2 + 3*m**2. Give o(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 10*r - 170, 4*u - 6 = -r - 17. Let j = 20 + -9. What is the remainder when r is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 49\/40838793?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -100504974 or -100504976?\nAnswer: -100504974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -50032.2827 to the nearest 100.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 1207. Let w(i) = 9*i**2. What is w(q(s))?\nAnswer: 9*s**2 - 21726*s + 13111641","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*z = -0*m - 107, 5*z = 5*m + 170. Let i = 220 - m. Suppose f + 4*f - 5*d - i = 0, 2*d = -2*f + 102. Is 17 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 68287694\nAnswer: 273150776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 187 - 90. Is q a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 3\/4 - ((-250)\/8 + -7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3589*i + 728*i - 56 + 92*i + 7*i**2 + 0*i**2.\nAnswer: 7*i**2 + 4409*i - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (273\/(-14))\/((-9)\/192)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2049\/29 equal to -72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/7 in 3, -1175, -4, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -3. Let s(r) = 4*r**3 - 5*r**2 - 6. Let a(p) = -4*p**3 + 3*p**2 - p + 3. Let i(j) = 3*a(j) + 2*s(j). List the prime factors of i(z).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*v + 131428 - 32700 = -63614. Calculate the remainder when v is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111 (base 3) to base 15.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1478 + 22198\/15. What is the closest to k in -5, -2\/11, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, 5 in ascending order.\nAnswer: -10, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 20769183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve -131*o = -128*o + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000066749 rounded to six dps?\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, q: 2, x: 1, z: 2, e: 1}. Give prob of sequence xe.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w + 4*w)*(-2*w**4 + 0*w**4 + 5*w**4) + (w**2 + w**2 - 4*w**2)*(-w**3 - 1 + 1) + (3*w + 0*w - 2*w)*(3*w**2 + 2*w**4 - 3*w**2).\nAnswer: 13*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 < 112\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.07 (b) 0 (c) -5 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(27) - sqrt(3)) + 3 + (sqrt(3) - (sqrt(3) + 1)))**2 - (2 + (1*sqrt(3)*5 - sqrt(3))**2 + -4).\nAnswer: 32*sqrt(3) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**11\/o)\/o*o*o*(o\/o**(9\/4)*o)\/o)**(2\/19) assuming o is positive.\nAnswer: o**(43\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w - 5. Let n(j) be the third derivative of -j**5\/10 + 961*j**2. Give n(a(u)).\nAnswer: -6*u**2 - 60*u - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 212101220 (base 3) to base 12\nAnswer: 9a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -9. Let o = 0 + q. Suppose 3*g + 2*g - 2*u + 31 = 0, -2*g + 5 = 5*u. Sort o, 1, g in descending order.\nAnswer: 1, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102141 - 3640*w - 102141.\nAnswer: -3640*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-two fifths of a millimeter?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g. Let o(l) = -l. Let i be o(-1). Let v be 2\/(i*-2)*-2. Let t(h) = -v*h - 4*h + 5*h. What is t(q(p))?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 - -1.94. Let v = -3346 + 3345. Which is the nearest to v? (a) -3\/4 (b) 0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 7:18 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 7*r**3\/2 + 2829*r**2 + 18521*r\/2 + 2415 = 0.\nAnswer: -805, -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -20*n + 12. Let b(j) = 8*j - 5. Suppose -5*i - d - 24 = 0, 3*d = -2*i + 3*i + 8. Give i*v(c) - 12*b(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = i + i. Let t(f) = f**2 - f + 57. Let n be t(0). Suppose 9 = i*d - n. Solve 13 - d = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 45 = -r. Let i = r - 73. Do i and -30 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*s - 104*s - 0*s + 695. Suppose 5 = -5*n + 30. Solve 3*h + n*f + s = 5*h, 0 = -3*h + 5*f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v - 2*f + 22, 0 = -3*v - 5*f - 38. Let r be -2*v\/(-32)*2. Which is the biggest value? (a) r (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14502 in -0.5, -0.4, 0.1, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1638843 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(25\/20) + 9. Suppose 0 = 6*z - p*z - 32. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 545.8336 millimeters to micrometers.\nAnswer: 545833.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -45, -82, -119, -156, -193, -230?\n\"Answer: -37*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 316 and 4.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z**2 - 4*z - 6*z**2 + 6*z + 110*z**3 - 367*z**3 to the form q*z**2 + s*z**3 + x + a*z and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10631*b**2 - 615*b - 471862241 wrt b.\nAnswer: -21262*b - 615","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15222714.686138+-0.3\nAnswer: 15222714.386138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 6*i**2 - 2*i - 6. Calculate n(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90108*c**2*q**3 - c**2*q - 2*c**2 + 3707 wrt q.\nAnswer: -540648*c**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*g - 280 wrt g.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 12. Suppose -3*q + 2*t + s = 0, 2*q + 3*t = -2*q + 35. Suppose -2*a + q + 5 = 0. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47535.\nAnswer: 3, 5, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 u when two letters picked without replacement from {u: 10, p: 4, s: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12110 (base 3) to base 14.\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 7. Let n(o) = -o**2 - 321*o + 52369. Let b be n(119). Sort b, c, 2, -5 in ascending order.\nAnswer: -5, c, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**4 - 12*j**3 + j**2 + j - 1. Let w(l) = -95*l**4 - 8335*l**3 + 6759*l**2 - 1361*l + 5. Let s(o) = -20*u(o) - 4*w(o). Factor s(k).\nAnswer: 4*k*(4*k + 339)*(5*k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + 4. Let c(u) = u**2 - 5*u + 1. Let i be c(4). Let j = i + k. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7196)\/((18\/6)\/3). Let r = h - -10973. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.28 (b) -5 (c) -7 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4499, 4895, 5291, 5687?\nAnswer: 6083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r**2 + r**2 + 0*r**2)*(-7458*r**2 + 19 + 14949*r**2 - 7477*r**2 + 3*r) to v*r**3 + a*r + n*r**2 + y*r**4 + o and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/6 and 59\/26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3273636 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1078*c**2 - 1078*c**2 + 9*c**3.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 (base 13) in base 8?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1038 + 1465. Let s = w + 16. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-118472)\/389400 + ((-5)\/(-11))\/5)*(-15)\/(-3)?\nAnswer: -16\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/5 - 1251613*m**2\/5 - 7509651*m\/5 - 11264463\/5.\nAnswer: -(m + 3)**2*(m + 1251607)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3730957 is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/16 and -71\/122?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29676741*l**2 + 2*l - 11618410 wrt l.\nAnswer: -59353482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4774891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*t = 133, 2*l - 39 = 5*t + 231. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3*12\/(-5 - -1). Suppose -5*t - 4 = -2*g, -4*t - z = 4*g - 10. Let c(s) = s**3 + 3*s**2 + t*s**2 - 16 + 3*s**2 - 7*s + 21. Determine c(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1748200463?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (208\/3380)\/(48\/78) - (-22)\/(-70).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 202311006 and 38?\nAnswer: 3843909114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -264*c - 25. Let j(f) = 132*f + 14. Determine -4*d(r) - 7*j(r).\nAnswer: 132*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 2\/13 (b) -31 (c) -4 (d) 0.101 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -165 + 162. Let v(r) = -2*r**3 - 2*r**2 + 6*r + 5. Let f be v(n). Solve -f = -2*k - 13 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 4043.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(11) - (sqrt(99) + 0 + sqrt(99))**2).\nAnswer: -4*sqrt(11) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34621 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + q)*(-78 - 51 + 169).\nAnswer: 40*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*v + 3*n, -3*n = -3*v + 20 - 2. What is the units digit of ((-6)\/v)\/(1\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*r + 9036 = 0, 3*r - 12844 = -6*y + 5228. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -8*f - 15. Suppose -143 + 118 = -f*m. Solve -m - 10 = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 23*i + 240. Let b(c) = -17*c - 235. Give 7*b(g) + 6*o(g).\nAnswer: 19*g - 205","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 63213 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1551*j + 522*j + 835*j**3 - 415*j**3 + 513*j - 417*j**3 + 516*j.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzijz. What is prob of sequence zipj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202.554 kilometers to millimeters.\nAnswer: 1202554000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -16*r**2. Let o(p) = -2*p + 4. Let l(x) = x - 3. Let k(j) = 4*l(j) + 3*o(j). Calculate t(k(a)).\nAnswer: -64*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-17)\/4)\/(7\/24*10 - 3). Calculate the highest common factor of 111 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 + 1. Let g = l - 0.1. Let v = g + 1.8. What is the second biggest value in 0.5, v, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29 - 13 + 12)*(-2 - 2 + 6)*(0 + 2 - 6)*(-40*m**2 + 4*m**3 + 40*m**2)*(-4 + 4 - 1 + (1 - 5 + 5)*(2 - 6 + 3)) to y*m + w*m**2 + u*m**3 + o and give u.\nAnswer: 1792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*q**2 + 0*q**3 + 2*q**3 - q**2.\nAnswer: 2*q**3 - 59*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 + -0.07. Which is the closest to u? (a) 0.3 (b) 4 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4563045458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 88 divided by 2\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/65817 and -40\/61114741.\nAnswer: 550032669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6039 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: Suppose 8*t = 258 + 134. Suppose -4*a = -2*i - 16, 25*a - 21*a + 4*i - 40 = 0. Calculate the least common multiple of t and a.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141 and 17531.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-3) - 128)\/1. Let n = -96 - p. Let y(u) = -2*u - 4. What is the remainder when n is divided by y(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 - 0.94. What is the closest to p in 2, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 646 or 637?\nAnswer: 646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 303665?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*u + 1 - 19*u + 2*u**4 + 0 in the form i + a*u**3 + m*u**4 + f*u**2 + k*u and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11963 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 98281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128425, -128434, -128457, -128500, -128569?\nAnswer: -128670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufuffuf. Give prob of picking 2 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -6, -2, -0.06?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -o + 61, 0*j + 2*j = 3*o - 216. Suppose 3*q - 4*q = o. What is q rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-5 + (-2)\/(-1))*-5. Let l be (-5 + p)*2\/8. Suppose 0 = -13*n - 2 + 15. Solve -2*y = l*h + 8, n = 5*y - 4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = f + 2*f + 4*d, 0 = 2*f + d - 53. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/5 + 195197*f**2\/5 + 1905112960*f + 9525369604\/5.\nAnswer: (f + 1)*(f + 97598)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) 152 (b) 771\/8 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 618 - 424. What is the remainder when g is divided by 101?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21498162?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 0*o + 5*o)*(4*o + 12 - 12)*(8 + 3*o**2 - 8).\nAnswer: 24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18610730 and 8.\nAnswer: 74442920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 961398 is divided by 718?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9954.5 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*a - 126. Let t be a\/12*1*(-8)\/10. Suppose -3*z + 560 = -t*g, 5*g - 220 = -2*z + 185. List the prime factors of z.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g**3 - 13*g**2 + 13*g + 103. Let p(c) = -3*c**3 + 6*c**2 - 6*c - 52. Let v(x) = 6*j(x) + 13*p(x). Differentiate v(s) with respect to s.\nAnswer: -45*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 7 + 58. Let z be k\/3 - (-4)\/(-12). Let t be (-1)\/(16\/(-5) - -3). Sort z, t, -3.\nAnswer: -3, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130231331 (base 4) in base 8?\nAnswer: 345575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3302, 6600, 9896, 13190, 16482?\nAnswer: 19772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*a**3 + 13*a**3 + 28*a**3.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlzzzllzzmzl. Give prob of picking 2 m.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 270*z + 3*z**2 - 159*z + 6*z**2 + 152*z in the form u*z + m + l*z**2 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7*z\/(z\/((z\/z**(1\/8))\/z)))\/(z\/(z*z**0)*z**7) assuming z is positive.\nAnswer: z**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-8*(-14)\/224)\/(4\/(-2064)*-3)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 - -27?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/734 and 143\/4314?\nAnswer: 1583238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15026497 to the power of 1\/2, to the nearest integer?\nAnswer: 3876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -226.\nAnswer: -678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -16*w**3 + 8*w**2 - 3*w - 8. Let a be v(-8). Let x = a + -52469\/6. What is the common denominator of x and -41\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 11. Suppose -g*o - o + 20 = 0. Find the second derivative of -4*x**3 + o*x**3 - 2*x**5 + 2*x wrt x.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003069 rounded to four decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1713 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19135 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 15 - 0. Is 8 a factor of (-7 - -10)\/(m\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4443 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35408 by -31.\nAnswer: 35408\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2057) - (sqrt(2057) + 1)))**2 + (-2*sqrt(2057)*-5)**2.\nAnswer: 205725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -433*w**2 - 2089*w - 68. Give f(-5).\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, l: 8, r: 3, e: 3}. Give prob of picking 1 j and 1 e.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*k**2 - 3*k**2 - 4*k**2 + 96*k**2 - 26*k**2 - 26*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 150*((-544)\/1800 + (-24)\/(-300))\/((-6)\/(-9))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173853.\nAnswer: 3, 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/27 - 100\/450.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 7:41 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 291083917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/11 - 12674*l - 1812044\/11.\nAnswer: -2*(l + 13)*(l + 69694)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*p**2 + 2*p - 4 + 69*p**4 - p**3 - 67*p**4 - 3 + 10 to the form u*p**3 + w*p**2 + q + y*p**4 + b*p and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -8. Suppose 3*y - 28 = 14. What is the remainder when y is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*x + 5*j - 16, -2*j + 12 = -x. Which is the nearest to 1? (a) 5 (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 2*f - 2*f - 7*f.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*(x*(x**(1\/4)*x)\/x)\/x*x*x**(-2)*(x*x**1)\/x**(1\/9)*(x**(-1\/2))**42*((((x\/x**(4\/3))\/x*x)\/x)\/x)\/(x\/(x\/(x\/(x*x**1*x)))) assuming x is positive.\nAnswer: x**(-691\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*t - 9 + 30 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 1230\nAnswer: 3690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 5*x**2 + 9*x + 6. Give c(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 + 101110?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3 - l + 11*l - l**2 - 11*l. Let z be p(0). Solve -2*i = 3*f - 11, -z*i = 5*f - 2 - 15 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((1\/6)\/1). Suppose -5*l + 2*l = b. Is (7\/2)\/(l\/(-20)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -40*v - 1275. Let r be w(-32). Solve r*z + 272 = 242 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 67, 29, -9?\n\"Answer: -38*x + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42503031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 5 + 3)*(5*d + 2*d - 4*d) + 3*d + d - 3*d)*(-2*d**2 + 8*d**2 + d**2) to f*d + p*d**2 + w + h*d**3 and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/3 and 95\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 0 + 2 + 1661 + -1654\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b*(b*(b\/b**26*b)\/b)\/b))*b**(-1\/25)*((b\/b**33*b)\/b)**(-31\/5) assuming b is positive.\nAnswer: b**(4359\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 49?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 4 (b) -2\/7 (c) -0.14 (d) 0.4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxaaxarhrxaxaaaaaaa. What is prob of picking 1 x and 1 r?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -90*129164\nAnswer: -11624760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 + 0*z**2 + 2*z**2 + 2*z - 2*z - 2*z**2 + (0*z + 4*z - 6*z)*(z + 5*z - 4*z) - 3*z**2 - 3*z**2 + z**2 + (0*z**2 + z**2 + 3*z**2)*(2 - 3 + 0).\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.15? (a) 3\/4 (b) -0.03 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6799 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: Suppose 0 = -22*g + 29*g - 245. Suppose 278 = 4*j - 4*q + 54, -j = 4*q - 56. Calculate the least common multiple of j and g.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 2*l**5\/5 + l**4\/2 + 21. Factor w(m).\nAnswer: 2*m**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 204, 8\/11, 1, -19.5 in ascending order.\nAnswer: -19.5, 8\/11, 1, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k + 1. Let c(b) = 9*b - 3. Suppose 26*l - 25*l + 2 = 0. Let m(y) = 4*y**3 - 2*y**2 - y. Let p be m(-1). Determine l*c(j) + p*r(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-20)*25\/(-2). Suppose -4*j = -9*j + l. What is the highest common factor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.5 - -15. Suppose 0 = 12*u + u - 26. Which is the fourth smallest value? (a) -1\/3 (b) u (c) k (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 166823417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71170, 142352, 213542, 284746, 355970?\nAnswer: 427220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (14 + (4 - 5) - 36)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -7*g**3 + 4*g**2 - 3*g + 6. Suppose -21 = 5*c + l, -3*l + 35 - 3 = -4*c. Let t(r) = 6*r**3 - 3*r**2 + 3*r - 5. Calculate c*x(v) - 6*t(v).\nAnswer: -v**3 - 2*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 divided by 40040?\nAnswer: 127\/40040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 47955 or 47954?\nAnswer: 47955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6897 by -19.\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6bce (base 15) in base 10?\nAnswer: -22919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 18. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 3*l**5\/5 - 5*l**4 - 3*l**2\/2 + 8*l + 104. Find the second derivative of v(i) wrt i.\nAnswer: 36*i**2 - 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 6*g + 2. Let d be i(6). Suppose -d*o = -s + o + 28, -4*o = -s + 24. Let n = s + -18. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 4*y - 6*y)*(3*y**4 - 3*y**4 + 2*y**4) + 21103*y**4 - 39200*y**4 + 3*y**5 + 20236*y**4.\nAnswer: 5*y**5 + 2139*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20114 + 4?\nAnswer: -20110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.136087 and -0.1.\nAnswer: -0.0136087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11042031 and 0.05.\nAnswer: -11042030.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 0*o - 11 - 1\/2*o**2. Let u(s) = 2*s. Give h(u(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 228*u - 222*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 4*x + u + 19 = 0, 0 = x + 3*u + 1. Let j be 2\/7 - x\/(-14). Suppose j*o + 44 = o. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*o + 18, -4*y - o + 8 + 7 = 0. Suppose 18 = 2*x + y. Calculate the lowest common multiple of 10 and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 plus -1156031135.3?\nAnswer: -1156031026.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.88 - 0.48. Let q = -63 - -62.8. Which is the closest to -0.04? (a) q (b) d (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -537*x + 6603 - 6540 + 755*x + 638*x. Is b(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s**2 - s**2 - 3*s**2)*(s - 3 + 3) - 12*s**3 + 2*s - 3*s**3 + 0*s**3 in the form q*s**3 + f*s**2 + o + z*s and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 6*i**2 - 6*i + 7. Let n(d) = d**3 - 11*d**2 + 15*d + 13. Let h be n(10). Suppose -113 = -10*u - h. What is t(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x - 12 = 0. Suppose 2*i = -n - 88, x*n + 352 = -0*n + 3*i. Let w = n - -291. List the prime factors of w.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, q: 1, n: 1, k: 5, u: 1}. What is prob of sequence uj?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -320.999476 - -321. Round u to five decimal places.\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence otto when four letters picked without replacement from {t: 3, u: 4, p: 5, o: 4}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/303450 and -179\/5880.\nAnswer: 8496600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -13*j**2 + 1. Suppose 3*t = 0, 5*t = 4*k - 6 + 10. Calculate r(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 2*j + 13, -7*n - 3*j + 2*j - 12 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 606.8 - 606.8. Let f = -2 + 1.6. Which is the nearest to y? (a) -2\/9 (b) 0.02 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 61229?\nAnswer: -61230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w\/w**(-1))**(-46)\/(w**(-2\/3)\/(w*w**(3\/2))) assuming w is positive.\nAnswer: w**(-1361\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**3 + 20 - 20.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1082.\nAnswer: 1\/541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2351, 2369, 2387, 2405, 2423, 2441?\n\"Answer: 18*m + 2333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 6. Let l = -0.9987 - g. What is l rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 188276 and 1012.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*z - 452 + 979 = 475 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 118384629 rounded to the nearest one million?\nAnswer: 118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*d + 257*d + 35*d + 250*d.\nAnswer: 601*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 645 - 648. What is the closest to -2 in 25, r, 1\/2, -1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cocqoqqqpqcqcccphoq. Give prob of picking 2 o.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -11. Let v be d\/4*(-4)\/24. Which is the nearest to -2\/9? (a) -3 (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679696796?\nAnswer: 2, 169924199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 10, 3, -1, 5 in increasing order.\nAnswer: -1, 3, 5, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 219129 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -143 + 107. Let j = 59 + -112. Let y = j - b. Is 1 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1717479?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*p = h + 13, 50 = -3*h + 2*p. Suppose -7*a - 27 = -83. What is the lowest common multiple of (h\/(-12))\/(2\/24) and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -169*f**4\/4 + f**2\/2 + 141*f - 85. What is the second derivative of y(r) wrt r?\nAnswer: -1014*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2824*h**3 - 2729*h**3 - 100 + 5588*h**3 to the form v + p*h**2 + z*h + j*h**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*z - 2, -2*m + 5*z = 2*m - 8. Suppose -6 = -m*u + 4. Sort 2, u, 16.\nAnswer: 2, u, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**(-17)*(u\/u**(-16)*u)\/u assuming u is positive.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(70)*-2)\/(-3*sqrt(250) + sqrt(250)).\nAnswer: 2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7285040 divided by -80.\nAnswer: -91063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6519 - 2828. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 9*n**2 + 10*n - 7. Give m(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**3\/8 - 31*f**2\/8 - 43*f\/4 - 7 = 0. What is f?\nAnswer: -28, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (-35 + -1)\/1. Let s = m + -35. Suppose -4*z - 2*l + 419 = 33, 5*z + s*l = 485. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -g - 0*g + 4*j, -2*g + 5*j - 1 = 0. Let r be ((-6)\/20)\/(g\/5). Which is the third biggest value? (a) r (b) 0 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92 + -84. What is the second derivative of r*w - 36 + 7 + 4*w + 32*w**3 - 14*w wrt w?\nAnswer: 192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -504.2 + 504. What is the biggest value in j, 0.1, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 11*a**2 + 5*a - 2. Let p(i) = -8*i**2 - 4*i + 2. Calculate 4*p(h) + 3*x(h).\nAnswer: h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -9, -1, 0.1, 3\/10, 8?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-20) + (-634942)\/9310.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 5:59 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 62 = 2*l, 411*x + 13 + 9 = -10*l + 410*x - 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*y + 15*y - 4*y**3 + 2*y**3 - 8*y - 58 in the form z*y**3 + k*y**2 + o*y + v and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-7)*(-126)\/(-36)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27177?\nAnswer: 3, 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/(182\/12)*28\/(-6). Solve 0 = -i*s - 4*k + 12, 3*s + 19 = k + 3*k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2235 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 936 at least as big as 593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*y - 6, 3*y + u + 0*u - 2 = 0. Suppose -5*f - 5 + 20 = y. Calculate the remainder when (-14)\/4*2*-1 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 15 = 2*r, -27 = -3*y + 5*r + 13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2\/(0 + (-8)\/(-12)) + 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/19, -219.4, 0.08 in descending order.\nAnswer: 0.08, -6\/19, -219.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 5, 25362 in ascending order.\nAnswer: 1\/2, 5, 25362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4450.5975 rounded to the nearest 100?\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 2. Let x = 23 + -15. Let t = x - 5. What is the highest common divisor of t and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -268751, -251734, -223373, -183668, -132619, -70226, 3511?\n\"Answer: 5672*g**2 + g - 274424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(0 + 0 - 1)*(-20*z + 20*z + 29*z).\nAnswer: 29*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3963977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/14 and -3 + 4\/((-32)\/164).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 + 6*q - q + 0*q**2 as g*q + c*q**2 + s and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/4*(-7 + 287\/35). Sort t, 0.1, 15\/2.\nAnswer: 0.1, t, 15\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j. Let u(f) = -4*f + 1. What is -18*d(i) - 4*u(i)?\nAnswer: -2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 2\/5, 7, -0.52, -3\/19, 34\/9?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549*q + 6632 = 280*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {t: 3, d: 1, f: 6, z: 3}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7092300 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/483 and -31\/805.\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = 11*h + 2822. Let c = -183 - h. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 12:55 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -337 + 332. Let n be 0 - (39\/(-12) + 3). Is n > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 = -n, 0 = n - 7*b + 2*b - 34. Let p(r) = r**2 - 6*r + 7. Let m be p(5). Solve n = -4*g - 2*d - 3, -m*g + 4*d + 14 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -4*g - 36 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2876 divided by -2?\nAnswer: 1438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1050 + -1070. Suppose -3*s - 62 = 5*y - y, 0 = -4*y + s - 70. Let r = y - h. Solve r = 5*o - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-14)*(-2)\/(-7)*7.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 1, 4, 0.07?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**4\/3 + 1732*y**3 + 76787*y**2 + 1042604*y\/3 + 272480 = 0.\nAnswer: -39, -4, -1, 5240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*u + 6 = 0. Suppose 4*s = 0, -4*v + u*v = -4*s - 18. Is 6\/v*7362\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10085 is divided by 478?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2562, 5127, 7694, 10263, 12834?\nAnswer: 15407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/36077964 and -5\/336.\nAnswer: 1010182992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 376*s**2 + 14405*s - 243. Determine t(35).\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 0.4, -3.8, -6, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - ((-2 - 3) + 3)) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 7) to base 8\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 644693552 a multiple of 3394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 315 + -381. Calculate the common denominator of -49\/180 and 227\/30 - (v + 68).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + b = 3, -4*c = -9*c + 4*b. Let s be c\/(-2)*1 - 9. Let k be 26\/s + 10\/(-35). Let m(q) = -q**2 - 4*q + 1. Determine m(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-2 - -1)*1. Let k = 78 + -78. Is k less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -303*k - 2887. List the prime factors of d(-79).\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13153901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + 5*((-4*sqrt(363)*6 + sqrt(363) - sqrt(363)) + 4)*2*5)**2.\nAnswer: -5148000*sqrt(3) + 522758023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c + 9. Let j be m(-6). Calculate the remainder when 23 is divided by 7 - 2*j\/6*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*q = -45*q - 16. Suppose 7*k + 239 = 8*k + q*f, 211 = k - 3*f. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 5*q - 34 = 0, 0 = -2*l - 30*q + 28*q - 16 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -598444980 divided by 29922249.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n. Let i(s) = -s**2 - 30*s + 29. Let h be i(-30). Let b(z) = -5*z**2 + h - 35 - 4*z**2. Determine x(b(k)).\nAnswer: -9*k**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -2)*(0 + 1). Let z be (-2)\/(-6)*l*1. Put z, 0.2, 4 in ascending order.\nAnswer: z, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -12*y + 6. Suppose 0 = 9*w - y*w. Solve w = -g - 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 4*w. Suppose 2*j + w = -l - 3, -5*l + 11 = -3*j. Is 1\/(l*(-1)\/(-19)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -276.47 and -49.1.\nAnswer: 13574.677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3800 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 3*q - q + (-2*q - 2 + 2)*(1 - 3 + 0) + 0*q - q - q - 92 + 14*q + 92.\nAnswer: 17*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkp when three letters picked without replacement from {v: 5, p: 3, k: 2, e: 5}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 0 + 3 - 2 + j. Determine g(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9)\/((-21)\/(-18)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -6*c + 5. Let p be (-36)\/18*c\/(-2). Let z(j) = 4*j + p + 2 + 2 - 2*j. Give z(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79121*w**3 - 3*w**2 + 78653*w**3 - w**2 + 4*w**2 - 157223*w**3.\nAnswer: 551*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, 13, 11281.\nAnswer: 1, 8, 13, 11281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -1\/5, -42, -2\/13, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/(-10)*(1 - 3). Suppose 0 = 26*z - 25*z - l. Solve -1 - 3 = z*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -40. Is 0 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 3*q**2 + 4*q + 12. Let l be v(4). Let s be 3 + -1 - 6\/3. Suppose x - 11 = -s*x. What is the highest common factor of x and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j = -74*j - 35*j + 39600. Calculate the remainder when j is divided by 94.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p**2 - 6*p. Let x(u) = -8*u**2 - 7*u. Let y(o) = -7*n(o) + 6*x(o). Let g(r) = -22*r**2. Give y(g(v)).\nAnswer: 484*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -415, 24, 2, -9.\nAnswer: -415, -9, 1, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.71 + -136.71. Let a = n - -138. Sort -8, a, 1 in decreasing order.\nAnswer: a, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/7 + (2 - 4). Let o(s) = s**3 - 10*s**2 + 8*s + 4. Let c be o(9). Suppose -667*d - 532 = 329 - 194. What is the closest to d in -0.5, r, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44695 rounded to the nearest 100?\nAnswer: -44700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 - 2 + 11*i + 0.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65324, -261765, -589320, -1047995, -1637796, -2358729?\nAnswer: -3210800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114 (base 5) to base 2.\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -8. Suppose -2*t = -0*p + 2*p - 8, 0 = -n*p + 4*t + 26. Suppose 2*q - p*r = -2*r + 24, -q - 5*r = 23. Solve 0 = q*u + 8, 4 = a + a - u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/4 - -2) + (-80)\/320.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 10:14 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -9*u + 163. Is 7 a factor of f(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2)*y**9*(y*(y*y**(-2\/7))\/y*y)**(23\/3) assuming y is positive.\nAnswer: y**(141\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002658372544 rounded to six dps?\nAnswer: -0.002658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(4\/8)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -1\/28 (c) 2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfb when three letters picked without replacement from bbsbsbbfssbssb?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*r - 753035*r**3 + 376520*r**3 + 376514*r**3.\nAnswer: -r**3 + 63*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*j + 4*v = 104, 8*j - j - 4*j - v - 16 = -6*v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - r - 3 = 0, -2*n + 6 = -4*r - 0*r. Suppose -d - 3 = -t, 3*t + d - n*d - 7 = 0. Let z = 4 + -8. Put z, -5, t in descending order.\nAnswer: t, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4661272)\/(-414))\/196 + 1\/(9\/(-4))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*h - 172 - 13*h + 49 - 2*h.\nAnswer: 15*h - 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 16442?\nAnswer: 246630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93882, 94111, 94346, 94593, 94858, 95147, 95466, 95821?\nAnswer: 96218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259909 is divided by 51938?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**10\/(u*u**(3\/14)) assuming u is positive.\nAnswer: u**(123\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3359, -6676, -9957, -13190, -16363?\n\"Answer: 2*l**3 + 6*l**2 - 3349*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5, -4*l + 26 - 3 = 3*a. Let v(k) = 0*k**2 - 13*k - 13 - k**2 + l*k + 4. Let y be v(-10). Solve 0 = j - y - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 98 = m, -4*m = 5*d - 2*d - 353. Which is greater: m or 85?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 + 3)*((-2*x - x + 0*x)*(4*x - 3*x + 0*x) + 2 - 2 + x**2) to c + l*x + a*x**2 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6963 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 107, 15, -2\/5, -3, 0.73 in decreasing order.\nAnswer: 107, 15, 0.73, 0.5, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**3 - 10*g**2 + 24*g - 4. Let v be a(19). Let o = v + -1799. Round o to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 171720 divided by 954\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/568820 and 49\/13976720?\nAnswer: 97837040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -187 != -192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 25. Let f be (40\/14)\/((-8)\/m). Let u = f - 4. Solve u = -s - s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 5*o**2 + o + 7. Let j be x(-5). Solve -j*w + 2*s - 20 = 3*w, 2*s = -5*w - 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -17*z**5\/60 + 3*z**4\/8 - 5*z**3\/3 - 3*z**2 - 197. Let p(g) = 8*g**2 - 4*g + 5. What is -9*p(j) - 4*y(j)?\nAnswer: -4*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*r - 3*c - 36 = 0, -10 = -r + 2*c. Let g be (-2)\/4*2 + r. Solve -v + 0 - 1 = -q, 5*q - 4*v = g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 355153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -2 (c) 6\/23923 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 + g**2 - 1. Let q(k) = 17*k + 154. Let c be q(-9). What is v(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {k: 2, d: 4, s: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5696 and 162158.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79013904 is divided by 8909?\nAnswer: 8892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-1) - 38\/9.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-4))\/((u\/(u\/(u**(1\/3)\/u)))\/u))\/(u**(-3\/14)*u**14) assuming u is positive.\nAnswer: u**(-299\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -7 + 1 + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzrrrzrrzzzzz. What is prob of picking 3 r?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/13 and 2933 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_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: Collect the terms in -2239*k**2 + 4198*k**2 + 7*k - 1935*k**2 - 7*k.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 4*a - 1. Let y be p(-3). Suppose -3*s + y*r = -31, -5*s - 13 = 2*r - 70. Suppose 3*x - 2*x - s = 0. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 210886902 or 210886909?\nAnswer: 210886909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3212184?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + (40 - 35) - 39\/(-3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -65, -62, -59, -56?\n\"Answer: 3*r - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -461204*m**2 + 3*m - 110128.\nAnswer: -922408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t - 26. What is c(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7\/12*n**3 + 1\/3*n**4 + 7\/12*n - 1\/4 - 1\/12*n**2 = 0 for n.\nAnswer: -1, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 189868844 and 197945.\nAnswer: 949344220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - i - 1. Let k be b(3). Suppose -4*l + 15 + 2 = -k*m, 2*m - 10 = -4*l. Suppose 0*h + 3*h = l. Put -5, h, 5 in ascending order.\nAnswer: -5, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 8:39 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100087 is divided by 184?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(896) + sqrt(896)))\/((sqrt(2) - sqrt(6)\/sqrt(3)*2)*6).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4166065?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/334 and 27\/10.\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 15*h**2 + 71*h + 26. What is p(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*r**5 + 825*r**4 - 5574*r**3 + 8319*r**2 - 4236*r + 684 = 0. Calculate r.\nAnswer: 1\/3, 1\/2, 1, 6, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 105\/399*(-4)\/(-10). Let d = 1 - 2. What is the second biggest value in -1.1, d, s, 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(175)*-3).\nAnswer: -sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 less than 381?\nAnswer: 1391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 102919480 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 48*a = -8*a - 416 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2 + 2. Let t = -208 - -1247\/6. Which is the closest to -6? (a) 0.1 (b) t (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 805 + -28178\/35. Let o(m) = -m**3 + 9*m**2 - 6*m - 17. Let q be o(8). Which is greater: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*x**3 + 7*x**3 - 6*x**3 + (2*x - 4*x + 0*x)*(-2*x**2 + 0 + 0) + 1 - 1 - x**3 as u + f*x**3 + p*x + c*x**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 9 - (3 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2717, -5446, -8175, -10904, -13633, -16362?\nAnswer: -19091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -3*i - 4*p, 52*i - 53*i - 7*p - 8 = -38 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 506.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -17. Let s(j) = -33*j - 19. Let g(b) = -100*b - 57. Let y(k) = x*g(k) + 11*s(k). What is the first derivative of y(l) wrt l?\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*k - 12 = -402*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 e when four letters picked without replacement from {e: 2, t: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkononokokkko. Give prob of picking 1 n and 1 o.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 809 (b) -2 (c) 0.2 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1294, 2619, 3946, 5275?\n\"Answer: n**2 + 1322*n - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3514*j**5 + 464*j**2 + 1.\nAnswer: 210840*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**4\/7 - 12989*z**3\/7 - 91052*z**2\/7 + 1039104*z\/7 + 7485696\/7 = 0.\nAnswer: -8, 9, 12996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 4*z - 0*a + 5, 0 = -3*z + a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l - 22. Let h be t(-5). Suppose 4*m = -0*b - b - 8, -m - h = 0. Solve 0 = -4*n - b - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 y when two letters picked without replacement from yfnnfff?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/t**10*t**(-5)*(t*t*t**9)**(-46) assuming t is positive.\nAnswer: t**(-519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1120)\/(-252))\/(12\/108).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2862 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 15005*t**2 - 12629960*t - 3256199940.\nAnswer: -5*(t + 602)**2*(t + 1797)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43 + 1547?\nAnswer: 1612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-4))\/(3\/(-52)). Suppose 4*u + 2*m = -n + 224, -5*u - 5*m + 250 = 0. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11450801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 845884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 7384.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1043*v - 2446*v + 616*v - 563*v - 27488 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4277923633?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdqddjzd. What is prob of sequence dzzd?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 35264 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/4 - (-3 + (1 - 3)). Let k(n) = 4*n + 1. Let a be k(1). Suppose -13 = u + 3*l, 4*u = -u + a*l - 5. Sort -1, u, w, -10 in descending order.\nAnswer: w, -1, u, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.20746565 rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11560*p = -11563*p - 4*r + 63, 0 = 4*p + 3*r - 91 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -16*m - 27. Let w(p) = -37*p - 53. Let c(y) = 7*s(y) - 3*w(y). Give c(-10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = h - 2. Calculate the greatest common factor of 112 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*p + 7, -5*x - 5*p - 75 = 0. Let y = 23 + x. Let c be 2\/(-5) + 284\/10. Calculate the highest common divisor of c and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 16*z + 17. Suppose 5*i - 2*s = 67, -8*i = -3*i + s - 79. Let h be c(i). Solve 10*a - 5*a = -4*d + 35, h*d + 4*a - 22 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 + 0.06. Let c = -40 + 39. Let j = -13\/15 - -7\/10. What is the nearest to z in c, j, -2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 20. Let i(l) = 3. Let t(w) = -3*d(w) + 21*i(w). Suppose 0 = -5*y - 4 + 19. Suppose -y*q + q + 4 = 0. Determine t(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.65589993 to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3910 divided by 4\nAnswer: 1955\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 + 257 = 14*o. What is the smallest common multiple of 31 and o?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/321 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1. Let x = 5 - 4.2. Let s = 0.2 + x. Which is smaller: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*f + 506, -1251 + 415 = -5*n + 4*f. What is the highest common divisor of n and 768?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (270\/105)\/((-45)\/(-35) + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*j**5\/19 + 36*j**4\/19 - 2*j**3 + 12*j**2\/19 = 0. Calculate j.\nAnswer: 0, 3\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.121284835 rounded to 3 dps?\nAnswer: 0.121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83236665 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 535279585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.891 times -30?\nAnswer: 146.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100129542 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*m**4 - m**3 - 2542*m**2 + 4*m + 8914112 wrt m.\nAnswer: 28*m**3 - 3*m**2 - 5084*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6210 - 2149. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3870484.\nAnswer: 2, 53, 18257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 1 - 3*q + 5*q to c + s*q and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 = 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 385 - 208. Let d(j) = -4*j**3 - j**2 + 6*j - 4. What is the remainder when q is divided by d(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -32\/3*j**5 + 6*j - 46\/3*j**2 + 14\/3*j**3 + 16*j**4 - 2\/3 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1770 and 150.\nAnswer: 8850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 103*j**3 + 3*j**2 - 13*j + 10. Is x(2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 1. Let k be w(1). Suppose 5*x - 3*x + 14 = 2*i, -2*i - 2*x = 6. Is i > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 30 = 4*f, 0*b = -4*b + 3*f + 45. Let u(w) = 5*w - 31. Let a be u(b). Solve -a*m = -13*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*a = -1112, -4*b = 2*a + 149 - 1635. What is the common denominator of (-33)\/(-55) - b\/(-60) and 0\/5 - (-3)\/(27\/(-40))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 - 35*l - 167. Give p(-18).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -23*d**3 + 20*d**2 + 66*d - 279. What is s(3)?\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -24367 divided by 16\nAnswer: -24367\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 52614.14 millennia in centuries?\nAnswer: 526141.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -531\/3367 + 1\/259. Suppose 349*r - 61*r - 1728 = 0. Let i = 2 - 4. Put s, r, i, -0.4 in increasing order.\nAnswer: i, -0.4, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 2*p**2 - 2*p + 56. What is the smallest common multiple of 4 and x(0)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 3:45 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 151050459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*h - 35 = -d, 0 = 3*h + 15. Suppose -4*y + d*a = -28, -5*y + 6 + 19 = -3*a. Is y\/((-4)\/(-14)) + (4 - 5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -340*m - 881*m - 60*m - 1 - 2140*m in the form s*m + b and give s.\nAnswer: -3421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 6*g**2 - 4*g - 3. Let k be n(4). Suppose 2*i = 3*i - k. Let u = -8 + i. Solve u*q - 20 = 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 5*k**2 + 2*k**2)*(-2*k + 1 - 1) - 194*k**2 + 194*k**2 - 39*k**3.\nAnswer: -37*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19295.549 - 19306. Round y to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from {c: 1, t: 5, h: 3, s: 1, f: 3}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/5*20\/6. Let r(d) = -d**2 + 5*d. Let j be r(z). What are the prime factors of (4\/6)\/(j\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -162*c*l*x**2*y - 3*c*l*x*y + 2*c*l*y + c*x*y - 2*c*y + 243*l*x**2*y + 2*l*x**2 + 26*l*x*y - 48*x*y + x + 2 wrt x.\nAnswer: -324*c*l*y + 486*l*y + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -212909*t**4 - 254966*t**2 wrt t.\nAnswer: -5109816*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**28)\/(v\/(v\/(v\/(v*v**(-4))))))\/(v**(-37)*v**(-6\/5)) assuming v is positive.\nAnswer: v**(316\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2467, -2394, -2323, -2254?\nAnswer: -2187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(102)*1 - -3*(-2*sqrt(102) + sqrt(102) + sqrt(102) + sqrt(102)))\/((sqrt(72)\/sqrt(3) - sqrt(24) - sqrt(6))*-1).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27b - -3b3?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*v = 3*v - 33, 4*b = 5*v - 9. Suppose -b*p - 3*q = -151, -5*p = 2*q - q - 186. Suppose 307 - p = 5*k. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 0)*(-3)\/6 + -12\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 8*t - 19. Let d(f) = f + 17. Calculate the remainder when l(-14) is divided by d(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h**2. Let n(k) = 9*k**2 + 4*k - 4. Let j(y) = 10*y**2 + 5*y - 5. Let c(d) = 4*j(d) - 5*n(d). Give z(c(m)).\nAnswer: -150*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 6*s + 2. Let t be k(-6). Let w be (1 - 0) + -1*t. Let n be (-2)\/(-11) + (-43)\/55. Which is the nearest to w? (a) -3 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (504\/7392)\/(1\/10*10\/4)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 64326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -1636*j**2 + 824*j**2 + j + 816*j**2. Suppose -4*x + 3*u + 1 = -10, 11 = 3*x - 5*u. Let c(k) = k**x + 17*k - 8*k - 9*k. Determine -5*c(w) + s(w).\nAnswer: -w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 0.08246487?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -11. Suppose h*x - 63 = d, 5*d - 2 = 3. What is the highest common divisor of 24 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z**2 - z**3 + 6*z + 0*z**3 - z**2. Let r be u(-6). Let i(s) = s - 3. Determine i(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/7)*d**(-1))**(-25)*(d**3*d**(-4\/3)\/d)**(-7\/2) assuming d is positive.\nAnswer: d**(101\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmk when three letters picked without replacement from {c: 1, k: 10, u: 2, m: 2, h: 1}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrysdypdpdypqpyrs. Give prob of sequence dspp.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/335547 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y**(-10\/7)\/y*y*y)*y)*y*y**(-9))\/(y*y**(-1\/15))**44)**(-12\/19) assuming y is positive.\nAnswer: y**(20788\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 664.64422 to the nearest 10.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h + 5*t - 30 = 14*h, 2*h = 4*t + 14 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8729 + -12835. Is ((-6)\/(-4))\/((-3)\/z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54421 + 2612329\/48. Calculate the common denominator of -79\/96 and j.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5328506 centimeters to nanometers.\nAnswer: 5328506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 2\/3 (c) 0.3 (d) -4029\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 172239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2179472849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 77881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111110 - 1120?\nAnswer: -120000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 6. Suppose 2*i = -3*o + 2*o + c, i = -4*o + 5. Let j be -2 - 4*(-2)\/(-36)*9. Sort o, j, -1.\nAnswer: j, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103798 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 695912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 290, 283, 270, 251?\n\"Answer: -3*k**2 + 2*k + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8932 is divided by 8921.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124 - 62. Suppose 0 = -g - q - 4*q + t, 4*q = 3*g - 148. Suppose 3*p + 98 = 5*n - 0*p, 4 = p. What is the smallest common multiple of g and n?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478778.91 rounded to the nearest one thousand?\nAnswer: 479000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -313961\/88 - -3568. Calculate the common denominator of 67\/24 and k.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1134*x + 1136*x = 34. Suppose -6*j + 5*w + x = -8*j, -5*w - 29 = -j. Solve -1 = j*a - a + 2*l, 4*a + 8 = -l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 833366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/3))\/(d\/d**6)*(d**3*d)\/(d**(1\/5)*d) assuming d is positive.\nAnswer: d**(137\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 215\/6*y**3 - 150*y**2 - 2 - 47*y. Differentiate c(s) with respect to s.\nAnswer: 215","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2410\/(-72) + 66\/297 + (6031\/(-148) - -39)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - ((-16)\/(-32) + 11\/2). Let q be 5*(0 - 38\/u). Suppose 0 = 15*d - q*d + 748. 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 f = -16 + 24. Suppose n + 4*j = 6*n - 178, -j = -3. Let h be 2\/(n\/(-20) + 2). What is the highest common divisor of f and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -161 + 168.7. Let z = 8 - o. What is the third smallest value in 3, 0.4, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*t**3 - 344096*t**2 + 34449*t - 24?\nAnswer: 138*t - 688192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 891661 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4.1, -3\/8, -3\/2, 0.2, 35 in ascending order.\nAnswer: -4.1, -3\/2, -1, -3\/8, 0.2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 137050*i**2. Let z(g) = -12*g**2. Give f(z(v)).\nAnswer: 19735200*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z**3 - 3*z**2. Let g(u) = -4*u**3 - 4*u**2 - 1. Determine -3*g(n) + 4*r(n).\nAnswer: -4*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 8*w + 0*w - 7*w**2 + w**3 - 4 + 3*w**2 - 2*w**2. Let d be a(4). What is the units digit of (0 - (d - 76)) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d**3 - 3*d + 5. Let u(t) = -t. Let k(p) = 2*p**2 - 459*p + 2681. Let r be k(6). Determine r*v(y) + 3*u(y).\nAnswer: -6*y**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-21)\/35 - (-5728)\/5?\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28937 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 16.86. Let p = v + 0.04. Suppose -4*m = -6*m + 10. Which is the third smallest value? (a) p (b) m (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649186 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -708 divided by -4?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-3*-5*(-5)\/75).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1*v)**(-3\/37)\/(v**(3\/5)\/((v\/(v\/(v\/(v\/v**(-3)))*v))\/v)))**22 assuming v is positive.\nAnswer: v**(-23452\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 124 (base 14) to base 7\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -41*r + 1. Let m be y(-1). Suppose 0 = -4*p + 20 + 36. Let g be (p\/4)\/(3\/6). What is the highest common divisor of m and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2)\/b*b**(-1))\/((b\/b**(-2\/23))\/b**(-4\/11)))\/((b**(-1)\/b)\/(b*(b*b\/(b\/((b\/b**(-3\/4))\/b)))\/b)*(b**(-2)*b)**(-23)) assuming b is positive.\nAnswer: b**(-23479\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -5*o**4 + 155*o**3 + 1330*o**2 = 0?\nAnswer: -7, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-6 + 8))\/(-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*h**2*r**2*x + 2*h**2*r + 2*h**2*x - 5*h*x - r*x + 4 wrt r.\nAnswer: -10*h**2*r*x + 2*h**2 - x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 42742.36 weeks?\nAnswer: 25850579328000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c. Let m(p) = -121*p**2 + 2*p - 2. Let t(y) = -1215*y**2 + 21*y - 21. Let u(v) = -21*m(v) + 2*t(v). Determine u(f(o)).\nAnswer: 444*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 57540063.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/13 + 3671776*b\/13 + 165233970\/13.\nAnswer: -2*(b - 1835933)*(b + 45)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -205136\/5 - -41026. Let q = -1.8 - -0.5. Let k = q + 6.3. Put k, -2, -0.5, u in descending order.\nAnswer: k, -0.5, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -97*l**5\/60 - 22*l**3 + 2*l**2 - 60. Differentiate d(o) with respect to o.\nAnswer: -194*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 9:47 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, j: 13}. What is prob of picking 3 n?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 3:44 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*((-15)\/33)\/1. Are 0 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9872 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: Is 34\/3 > 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 897 = -z. Suppose 3*p = -4*k + z, -2*k = p - 4*k - 83. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**5\/20 + 7*o**4\/12 - 5*o**3\/6 - 3*o**2 - 2*o. Let v be u(6). Let r(i) = i + 1. Calculate r(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.1, 5, 1.3 in increasing order.\nAnswer: -0.3, 0.1, 1.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 4*t**2 + 5*t**2 - 5 + t**3 - 7 + 2*t to the form a + r*t**3 + q*t + g*t**2 and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -16, 1\/4, -1, -1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/5 + 735\/(-25). Let m be (-5)\/10 + 175\/(-6). Let f = a - m. Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19312364 is divided by 689727?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r**2 - 974626*r\/3 + 284270\/3 = 0 for r.\nAnswer: -20305, 7\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**5\/9 + 34*i**4\/9 + 1678*i**3\/9 + 174*i**2 - 364*i = 0?\nAnswer: -21, -2, 0, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 34, 24, 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 897 + 6293 = -540*u - 29530 for u.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 905842 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 517003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 84*c*v**2 + 16*c*v - 240982*c - v**2 + 4*v wrt v?\nAnswer: 168*c*v + 16*c - 2*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 3*u**2 + 1. Let y be n(1). Does 20 divide y\/(-2) + (-553)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4822622.\nAnswer: 2, 7, 43, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 - 75960066*a**3 + 480827483640207*a**2 + 1923310846081716*a + 1923311149922028.\nAnswer: 3*(a - 12660013)**2*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen halves of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 3:33 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2, 14, 40, 86, 158, 262?\n\"Answer: c**3 + c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/(-12) - 8\/6. Sort d, -3\/7, -0.1 in decreasing order.\nAnswer: -0.1, -3\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ms when two letters picked without replacement from {y: 1, c: 3, b: 3, e: 1, m: 2, s: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + k + 4 = 0, -5*u + 3*k = -9 - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8013648 and 402512?\nAnswer: 88150128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 + 4*z**2 - 4*z - 10. Let l(k) = -k**3 + k**2 + k + 2. Calculate 5*l(m) + s(m).\nAnswer: -3*m**3 + 9*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29317.99998375 - 29318. What is z rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 3:56 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 5.03 and 4129\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1021 * -4.\nAnswer: -4084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1830 and 0.0523.\nAnswer: 1830.0523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50063 is divided by 12203?\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667?\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/198562 and -17\/340392.\nAnswer: 2382744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/6 - 2281*y**2\/3 + 1712835*y\/2 + 24579450.\nAnswer: (y - 2295)**2*(y + 28)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 15*w = -2860. Let q = -24 - w. Calculate the remainder when q is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 + 4*i**3 - 4*i**3 - 22*i**3 - 43*i**3 + 13*i**3 + (-7 + 2 + 1)*(-2*i**3 + 2*i**3 + 2*i**3).\nAnswer: -59*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 17. What are the prime factors of 6\/9*-2*j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -130, 6\/7, 4?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*3*2\/(-3). Let y = 15 - 18. Let l = y - t. Which is the nearest to -2\/3? (a) 2\/13 (b) -0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 1842 - 750. Let r be l\/(-24) + (-2)\/(-8). Is r >= 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 3) + (1 - -9) + 250 + -263?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24838248347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*p - 65 - 537 = 0 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -565*n + 9715. Let u be r(19). Which is the nearest to 0? (a) 0 (b) 1 (c) 1\/3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000034 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -13 + 0 + 0 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(132)*6)\/sqrt(12))**2 - (sqrt(99) - 2*sqrt(99) - (sqrt(99)*2)**2).\nAnswer: 3*sqrt(11) + 1980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -27909.99 to the nearest ten.\nAnswer: -27910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 570\/276*-4 + (32\/60)\/((-61)\/(-915))?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 6*x - 38. What is n(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1624 and 28.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**3 - v**2 + 2*v - 2. Let n be r(1). What is the closest to 0.1 in n, -2\/13, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -11*o**2 + 24*o**2 - 11*o**2 - 6*o**2 - 4*o. Let y(p) = -p. Calculate -d(z) + 3*y(z).\nAnswer: 4*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1512167 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 70, 49, 28, 7, -14, -35?\n\"Answer: -21*c + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 8*k**2 + 9*k. Let v be x(9). Suppose 220 = -z - v*z. Let g = z - -1982\/9. What is the nearest to -2\/7 in -5, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.872 times -3?\nAnswer: 26.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/3)\/((-8)\/(-6) + -2). Let t be o - ((-1)\/(-3) + 40\/24). Suppose 3*y = -f + 77, -t*f + 55 + 14 = 3*y. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -335047, -334530, -334013, -333496?\n\"Answer: 517*k - 335564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w - 23*w + 176 = 0. What is the highest common divisor of 374 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/54 and -33\/724.\nAnswer: 19548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2. Let q(d) = 2219*d - 3185. Let z(w) = 5*k(w) - q(w). Differentiate z(y) wrt y.\nAnswer: -2219","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/15 + 12\/5. Let k = 0 + 0. Suppose -4*g + 2 = -6. Solve k*u = -z*u - g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 8694*f. Let k(n) = 471*n + 6. What is k(u(j))?\nAnswer: 4094874*j + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -3 + -18 + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-54)\/729 + 34402\/54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1995 + -2256. Is f <= -260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b**4 + 4*b**4 - 7*b**4)*(-1 + 5 - 2) + (-2*b + 2*b - 3*b)*(4 - b**3 - 4) to x + o*b + r*b**3 + z*b**4 + g*b**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, i: 2, j: 2}. What is prob of picking 2 j?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (29 - 6 - (-27 + -11 - -29))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66399 a multiple of 533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 6:31 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 4 (c) -12\/1739\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 8*q**2 + 5*q + 10. List the prime factors of t(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*p + 357 = 14*p - 2011. Solve 5*l - 3*t + 15 = 0, -2*t + 10 = 34*l - p*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -127254 (base 8) to base 11.\nAnswer: -30661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 37 - 43. Suppose 4*x + t - p = -t, 5*x = -t + 28. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*z + 14*z = -308*z - 413 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65.9188 + -65. Round x to 2 decimal places.\nAnswer: 0.92","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.030462239+-16841\nAnswer: -16840.969537761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8748 by 2.\nAnswer: 4374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 0.4, -4 in decreasing order.\nAnswer: 0.4, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-1)\/(-4*2\/(-32)). Let x be ((-4)\/6)\/((-4)\/l). Let f(s) = s**3 + s**2 + s. Let z(a) = 8*a**3 + 6*a**2 + 5*a. Calculate x*z(m) + 6*f(m).\nAnswer: -2*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9801233 and -0.05.\nAnswer: -490061.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -410132100 rounded to the nearest 1000000?\nAnswer: -410000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(210) + -6*-1*sqrt(210))\/sqrt(7))\/(((sqrt(18) - (sqrt(2592) + -2*sqrt(2592))) + sqrt(18))\/sqrt(3))*-5.\nAnswer: -5*sqrt(5)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 10*y**2 + y + 2. Let r be u(-2). Suppose -43*k - 12 = -45*k. Calculate the lowest common multiple of 15\/10*r\/k and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -0 - 50. Let h(s) = 11*s**2 + 5*s + 5. What is the remainder when h(-2) is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(396) + 2 + 4) + (sqrt(396) + sqrt(396) + sqrt(396) + 2 - sqrt(396)) + 0 + -2)*1)**2.\nAnswer: 1728*sqrt(11) + 7632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 10 + (0 + 1 - 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39.4 * 0.1.\nAnswer: 3.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.081957 weeks in seconds?\nAnswer: 1259167.5936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190 - 190 - 234750*v + 234749*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**5\/20 - 7*r**4\/12 - r**3\/3 - 9*r**2\/2 + 3*r. Let a be m(-7). Solve -2*w - a = -1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1375 is divided by 1102?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 smaller than 1269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3286 + 3296 - 3*w**2 + 3199 - 9781.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g)**42*(g**(1\/2))**(-19) assuming g is positive.\nAnswer: g**(149\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 272 and 90882.\nAnswer: 727056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.010060902 + -1129.\nAnswer: -1128.989939098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/58 - -2*2\/(-4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*h = -28, 4*h - 4 = -6*y + 10*y. Suppose 0 = a - y + 3, -84 = -c + a. Suppose 2*k - c - 83 = 0. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 2780*s + 109950. Determine a(-39).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -2\/3*p**3 + 1\/4*p**2 + 1\/12*p**6 + 7 + 3\/4*p**4 - 2\/5*p**5 + 0*p. Solve o(i) = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80622685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 10:25 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 69\/2 of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 130\/(-715) - 2512\/(-22). What is the highest common factor of r and 304?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v - 7. Let s be q(5). Suppose 4*y - 8 - 8 = 0, -3*f + 111 = -s*y. What is the units digit of 1\/(-5) + f\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -490 - -1259. Let y = k - 259. What are the prime factors of y?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20220142 (base 5) in base 16?\nAnswer: -27fd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, y: 7}. Give prob of picking 2 l and 2 y.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3381 - 3378. Solve 14*n = -y*n - 85 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 71. Let q = -27 - m. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 24*z + 5. Let s(c) = -95*c - 19. What is -19*p(m) - 5*s(m)?\nAnswer: 19*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujbjjujujyyjbjujlluj. What is prob of picking 2 b and 1 j?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 627 + 634 + 108*o - 1258 to the form t*o + p and give t.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/95*60\/48?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7655.636057 - -0.3.\nAnswer: -7655.336057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 + 5 - 12 - 2*r to n + k*r and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m**5 - 14332*m**4 + 1422032*m**3 - 1729972*m**2 - 2464288*m + 702032 = 0 for m.\nAnswer: -986, -1, 1\/4, 2, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 3)\/(6\/(-4)). Let l = h + 5. Suppose -3*y + 183 = 4*v - 296, l*y = 2*v - 235. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 359 = -4*a - 338, -a = -4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**3 + 79*k**2 + 2*k - 56. Let c(x) = x**3 + 7*x**2 - 5. Let i(s) = -11*c(s) + p(s). Let r(q) = 5*q**3 - q**2 - 2*q + 1. What is 3*i(w) + 4*r(w)?\nAnswer: 2*w**3 + 2*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23 + 4 - 15 - 1 + 5 - 1 + 5 - 6 + 3 + (0 + 0 + 1)*(0 + 1 + 1) + 1 + 1 - 1 - 1 + 1 + 2)*(-3*h - 3*h + 1 + 5*h) to b*h + i and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u - 1. Let t(i) = -31*i - 16. What is -t(y) + 2*w(y)?\nAnswer: 27*y + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (2 - 2))*-7. Let b = 11 + y. Suppose -n = -b - 10. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -27*p - 19. Suppose -17*r = -16*r + 6. Is q(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 58651572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 4*c + 16*t, 2*c - 96 - 19 = -t. Suppose k = -0*p + 3*p - 62, 4*k + 17 = p. Calculate the remainder when c is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 675?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000085915312 rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-595 - -599) + (-17 - 0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5369826?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11835 + 747?\nAnswer: -110aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 787, 991, 25, -2705, -7793, -15833, -27419, -43145?\nAnswer: -63605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 387770 - 775172 + 387402.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24c0 (base 15) to base 14.\nAnswer: 2bd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/34 and 62\/3261.\nAnswer: 110874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 7:06 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)\/(sqrt(11) - (sqrt(11)*-1 - sqrt(11))))**2 + -2)*4.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/(n*n*n**(-1)*n)))**(3\/31)\/(n**(-10)*n*n**9) assuming n is positive.\nAnswer: n**(9\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 150391?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 139 - 63?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 - 7)*(1 - 3 + 0)*(-4*h**3 + 8*h**2 - 8*h**2) in the form g*h**2 + x*h + q*h**3 + a and give q.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 4*l + 200 = 0. Let s = 47 + l. Let w = s - 11. Does 41 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 0) + 4\/(-10). Suppose 3*l - 483 = 4*r - 1412, -452 = -2*r + 4*l. Let o = 2122\/9 - r. Which is the second smallest value? (a) o (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/4)\/(4\/(-16)). Find the common denominator of 47\/22 and 87\/(-21) + j - -2.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*w = -18*w - 39 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in -5, -140, -8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5646, 23024, 51982, 92526, 144662, 208396, 283734?\nAnswer: 370682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83725 + 83851 = 18*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/7 + 3)\/(22\/847*11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 95.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 48*k**5\/5 - 156*k**4 + 441*k**3\/2 - 243*k**2\/2 + 272*k. Factor c(u).\nAnswer: 3*(u - 9)*(8*u - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3951, -6637, -9323?\n\"Answer: -2686*g - 1265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21765.\nAnswer: 3, 5, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*o + 7009, -3*o + w + 7015 = -3*w. Suppose q + 30663 = -o. What is q rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 10. Suppose 0 = 3*f + f + 8. Let w = 14 + f. What is the lowest common multiple of w and o(0)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 7. Let i(q) = 1. Let y be ((-14)\/(-21))\/(2\/3). Give y*n(j) + 5*i(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*z - 187 = -251*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3694 + 1687. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72873, -72874, -72875, -72876, -72877, -72878?\nAnswer: -72879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.1892 rounded to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97 + -101. Sort 2, 1, -5, q in decreasing order.\nAnswer: 2, 1, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 97*h**2 - 351*h + 6542. Give g(94).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 981 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.016 from 133.\nAnswer: 133.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-500)\/(-150)*(-27)\/(-45)*20*-1*-1.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2426542093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -121300 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 44590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 142, 5, -4, -220, -2\/15.\nAnswer: -220, -4, -2\/15, 5, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -415*p**2 - 521*p**2 + 1197*p**2 - 419*p**2 in the form z*p**2 + c*p + m and give z.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-20 + 5 - ((51 - 53) + 1 + -16)) + -25\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2787112, -2787110, -2787120, -2787142, -2787176, -2787222, -2787280?\nAnswer: -2787350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 6.8504193408.\nAnswer: -9.8504193408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 142*y - 107*y - 174786500. What is y rounded to the nearest 10000?\nAnswer: 4990000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31043222 (base 5) to base 2.\nAnswer: 111101110000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*1.12\nAnswer: 0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 9:27 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 47278 = 128978. Does 108 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3319100 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10974, -9217, -7460, -5703?\nAnswer: -3946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3655720 to the nearest integer?\nAnswer: 1912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (1 - (19 + -9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) -3\/4 (b) -2\/13 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 22 - 22 - 2*n. Suppose 33 = -2*d + 157. Let l(m) = -62 + d + 3*m**2. What is x(l(r))?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35615?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 10*y - 4. Let c = 22 + -13. Calculate o(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**4\/12 - 7*c**3\/2 - 91*c**2\/2 - 205*c. What is x(-15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b - 36*b + 11*b - 153 = 327 for b.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000508184956 to five decimal places.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 151313140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156687?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4125685 at least as big as 4125660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*i - 2*i = -39, 0 = 3*j - 5*i + 33. Let m(q) = q**3 + 6*q**2 + 2*q + 8. What is m(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1716 + 1718. What is the closest to -0.1 in g, 13.7, -1\/3, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64532345 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1\/24*((-624)\/(-9))\/(-26)*15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22763 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(2448))**2*-4.\nAnswer: 48960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 1920072.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -10208?\nAnswer: -1\/5104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -0.2, 0.0681, 4?\nAnswer: 0.0681","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + -2*sqrt(931) + sqrt(931) + -4 - (sqrt(304) + sqrt(304) + 2 + 5*sqrt(19)*3)**2).\nAnswer: 396*sqrt(19) + 40220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 3) to base 8\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 2:13 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678436 is divided by 14123?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -12*y - 267. Give s(-21).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + d. Let t(g) = -g**3 - 3*g**2 - 12*g - 22. Let s(q) = -5*o(q) - t(q). Does 4 divide s(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*f + 14, h + 10 = -f + 3*h. Let m be -1 - f - (-3)\/(-3). Find the third derivative of 0*b**4 + 4*b**4 + 7*b**m - 2*b**4 - 2*b**2 wrt b.\nAnswer: 216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3910 + -3909.993386. What is f rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 954298669 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u*u**31))\/u*u*u)\/u)\/((u\/(u\/u**(-2\/19)*u))\/u))\/(u**(1\/3)\/u)**(1\/26) assuming u is positive.\nAnswer: u**(-21392\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26464\/12 + 1 + 15*(-10)\/(-225)?\nAnswer: 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439*m = -398*m + 123 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 40*u - 39*u + 2194, 0 = -3*u + 6. Let q = a + 1874. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 4 = 4*g, -873*g + 868*g + 7*p - 43 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/8*-20*(-10)\/50 + -22?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9167 + 16878. What are the prime factors of l?\nAnswer: 11, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.92 less than 220436.832?\nAnswer: 220520.752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10347 + -10342. Solve 0 = -g*z + 4*a + 37, 0 = -z - 3*a - 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**4\/8 + 5*u**3\/6 + 12*u**2 - 14*u. Let p(q) be the first derivative of s(q). What is the first derivative of p(d) wrt d?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*b - 4. Let h be b\/(-2)*(-8)\/(-6). Suppose r + 5*w + 1 - 13 = 0, 2*w = h*r. What is the highest common divisor of 5 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 22*n**2 + 3*n + 76. Determine k(-22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112202 (base 3) in base 16?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 13*t**2 - 7*t + 24. What is the tens digit of s(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6531 (base 7) in base 12?\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1692 divided by -3?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*m = 4, w + 3 = -4*m + 1. Suppose 3*b + 6 = 3*h - 15, -4*h - 2*b = w. What is the units digit of (h + (6 - 23))*(-10 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 54*t + 81. Let v be n(10). Suppose 0 = 7*a - 628 + v. Is 1\/78 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 4*k - 5*k)*(-3 + k + 3) + (k + 0*k + k)*((1 - 2 - 1)*(0 + 0 + 2*k) + (-4*k + k + 5*k)*(2 + 0 - 1) + 3*k + 0*k - 4*k + 54 - 3*k - 54).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 105*m**2. Let i(d) be the second derivative of -2*d**4\/3 + 10977*d. Determine i(q(x)).\nAnswer: -88200*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 20 = 3*m. Suppose m*u + 33 = c, -2*c + 2*u + 70 + 4 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 9*i**5\/20 - 5*i**4\/24 - 74*i**2. Let q(p) = 41*p**2 - 8*p. Determine -5*q(h) + 8*r(h).\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 36223, 72460, 108697, 144934?\n\"Answer: 36237*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 5, 0 in descending order.\nAnswer: 5, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (870 - 933) + 1 + -17 - 13.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 133*y - 632. Calculate q(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -17*x**2 + 3*x - 17. Let f(k) = -3*k - 2. Let m be f(-4). Let r be c(m). What is the common denominator of -59\/21 and r\/252 + (-3)\/(-4)*1?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 9:17 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 b, and 1 a when three letters picked without replacement from ymabmbiaxaya.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 987 + -966. Solve 8*b + c = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.7254, -11, -3, 0, 0.5?\nAnswer: 1.7254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 - 27. What is the common denominator of (321\/(-8))\/(27\/(-12)) and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, h: 2}. What is prob of picking 2 b?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -50. Let r(n) = 15*n - 67. Let m be r(4). Which is the closest to w? (a) -1 (b) 1\/6 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -2*j + 0*j**3 + 1\/60*j**5 + 0*j**4 + 1 + 0*j**2. Let t(n) be the first derivative of m(n). Factor t(f).\nAnswer: f**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 28 = 4*i, 3*l + 0*i - 3*i = -48. Let h = l - -8. Let f = 6 - h. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z**3 - z - 2. Let m be c(2). Let o be 3\/(-4) - m\/16. Factor -12*i + 0 + 1 - 10 + 1 - 4*i**o.\nAnswer: -4*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2673088 and 2189.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 15534.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/24)\/(-5*44\/35200)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2\/9 - 26*o\/3 = 0 for o.\nAnswer: 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.475 + -36.575. Let a = u + 54. What is a rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61 - -61.5. Put -0.3, t, -0.5, -0.4 in descending order.\nAnswer: t, -0.3, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 12 = -o + 4*z, 2*o - 5*z - 102 = 0. Suppose 7*y - 4*y - 72 = -3*u, -2*u - 82 = -3*y. Calculate the remainder when o is divided by y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22012691 is divided by 278641.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*y**3 - 21*y**3 - 15*y**3 + 1)*(-2*y - 3*y + 3*y + (1 + 0 - 2)*(3*y + 3 - 3)).\nAnswer: 40*y**4 - 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6634711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7727 - 7887 = 32*a. Let s = 158\/391 - 12\/23. What is the third biggest value in s, a, 4, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 - 166 = -4*v. Solve -20 = 4*b + 5*j, -2*j - 8 = -0*b + v*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c07a41 - -2?\nAnswer: c07a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o + 65638. Let n(x) = 3*x**2. Give i(n(b)).\nAnswer: -9*b**2 + 65638","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 20\/9 - 236\/(-9). Suppose -4*k + u = -22. Calculate the smallest common multiple of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 752303 (base 8) to base 11\nAnswer: 161700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**5\/20 - r**4 - 2*r**3 + 5*r**2 + 13*r. Let l be q(-11). Let k = l - 16. What is the nearest to -2\/5 in 0.5, -2\/5, k?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (0 + 14 - -3 - (35 + -31))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 - 51. What is the greatest common factor of d and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60416 and 860928?\nAnswer: 3443712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15395 (base 10) to base 11.\nAnswer: 10626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from ocpcoowowcv?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)*t**(3\/5)\/t)**10 assuming t is positive.\nAnswer: t**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from {p: 1, r: 1, q: 5, c: 2, o: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, y: 2, n: 1, u: 1}. What is prob of sequence yuh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - k**2 + k - 1. Let s(x) = -18*x**3 - 10*x**2 + 10*x - 10. Calculate s(z) - 10*u(z).\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - 3*m - m)*(-m**3 - 83*m**2 + 76*m**2 - 5*m**3).\nAnswer: -12*m**4 - 14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 4:45 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + ((0 - 0) + 0)*1. Let y be (1 - h) + -1 - 36\/108. Let r = 31 + -59\/2. Sort r, 3\/7, 5, y.\nAnswer: 3\/7, y, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*t - l, -3*t + l = 21 - 15. Let h = -7\/17 - -69\/85. What is the nearest to 2 in -1\/10, h, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 18*h + 6. Let m(c) = -c**2. Calculate m(b(q)).\nAnswer: -324*q**2 - 216*q - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3940 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 the common denominator of 48\/2905 and 37\/10?\nAnswer: 5810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 432 - 432. Let u(y) = 603*y + b + 0 - 604*y. Let d(a) = 36*a**2. Determine d(u(f)).\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 4*j**2 - 5*j - 7. Let s be (-36)\/10*(-10)\/3. Suppose -k + s = 7. Give w(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecdcjrjrcddd. What is prob of sequence jd?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, -1, -8, -18 in decreasing order.\nAnswer: 67, -1, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-110)\/(-7) - (-29 + 45). Put 0.7, x, -3 in increasing order.\nAnswer: -3, x, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119 and 7019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -15. What is the remainder when 4\/(y\/170) - 2 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 32. What is the second derivative of k - 2*k - 7*k**4 + s*k**4 wrt k?\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6847, 322 in ascending order.\nAnswer: -6847, -2, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mssspsbbbswmssssbspb. Give prob of sequence mbps.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*2*(-6)\/(-9)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, j: 6, f: 1}. Give prob of picking 2 j and 1 k.\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -365 divided by -1.\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27124 and 20343?\nAnswer: 81372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 - 5*q - 10. Let s(f) = f + 17. Let n be s(-7). Is 30 a factor of h(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 4*o**2 - 3. Let l = -9 + 4. Calculate the least common multiple of 14 and p(l).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -28265?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 1. Let y be i(2). Let o = -1 + y. Solve -o*n + 10 = -0*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 4*r**2 - 4*r + 4. Let x(s) = s. Suppose -4 = -w, 2*z - 6*z = w + 124. Let j = -33 - z. Let d(h) = j*i(h) - 4*x(h). Determine d(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - -1. Find the common denominator of -49\/18 and ((-474)\/16)\/(g\/4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 w when three letters picked without replacement from {j: 2, q: 2, w: 1, g: 2, c: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (43\/1032)\/(2\/(-6))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avavvvhafhhhhbfahsh. Give prob of picking 1 b and 1 a.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1038\/4152)\/((-634)\/(-16))\nAnswer: 2\/317","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-475*i**3 + 21797*i - 21797*i + (-2*i**2 + i**2 + 0*i**2)*(0 - 2*i + 0))*(3 + 1 - 3).\nAnswer: -473*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m + 37. Let p be y(7). Let q be (-4)\/2*2 - 2. Is q greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -602 or -598?\nAnswer: -602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208174 is divided by 1680?\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50982 = -2237*u - 56262 - 78427 for u.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -79 (b) 79 (c) 2\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/61692 and 77\/2910.\nAnswer: 308460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148423 - 148277 + j**2 - 129*j**3 - 148282 + 444982.\nAnswer: -129*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j + 87. Let v be g(-26). Let z be (-5)\/(450\/56) + 6\/v. Which is greater: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5451*w - 6. Let o(y) = 93*y**2 + y + 1. What is n(o(a))?\nAnswer: -506943*a**2 - 5451*a - 5457","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 4. Suppose -8*i - 60 = -5*i. Let z = 24 + i. Calculate p(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 616*c - 3295. What is the remainder when x(6) is divided by 82?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18095, 36210, 54325, 72440, 90555?\nAnswer: 108670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-138)\/4140*6\/10.\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - k**3 + 0*k**2 + (0*k - 2*k**2 + 0*k)*(2*k - k - 3*k) - 4*k**3 + k**3 + 4*k**3 + 8*k**3 - 27*k**3 - 5*k**3)*(-21*k + 3*k - 2*k).\nAnswer: 400*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 220323 and 0.3.\nAnswer: 66096.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.16 times -44788?\nAnswer: -1574746.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -272 - -295.8. Let r = -23.8 + t. What is the nearest to -0.2 in -1\/5, 0.02, r?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24960 by 2.\nAnswer: 12480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2587372 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -149 + 62*i - 138*i + 77*i in the form b*i + l and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 90*n**3 - 2*n**4 - 90*n**3 + (66*n**3 - 696*n**2 + 696*n**2)*(0*n + 2*n - 3*n)*(0 - 2 + 0).\nAnswer: 130*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86 - 86. Let p be g\/(-3 - -1)*1\/(-2). Suppose p = -j + 7*t - 3*t + 20, 5*t + 31 = 2*j. Solve -j*n = -3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*j - 12 = -0*j, 0 = r + 2*j - 4. Let k = -11 + r. Let d(f) = f**2 + 5*f - 19. Let w be d(-7). Is k greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (18\/(-15))\/(-6*(-6)\/(-2220)) is divided by 41.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11242, 11270, 11298, 11326, 11354?\nAnswer: 11382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 6*b + 10. Let a be s(-4). Let x(m) = -2*m - 18. Let q be x(-10). Determine l so that a*l + 4\/3*l**2 - 4\/3 - q*l**3 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 884 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 253*u - 13107. What is z(52)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**3 + 3*d**3 - d**3 + (-1 + 1 - d**2)*(-5 + 5 + d) - 3*d**3 - 181 - 556 + 360 to f + r*d**2 + o*d + k*d**3 and give f.\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 11*a**2 - 11*a - 6. Let j be x(-10). Let o = j + 87. Suppose -5*m - 409 - o = 0. Round m to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -30, -10, 12, 36?\n\"Answer: o**2 + 17*o - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 3*l + 6 = -2*l, 0 = 2*k + 3*l + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67195711 is divided by 663?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 + 2. Let o(h) be the second derivative of -5*h**4\/4 + 143*h**3\/6 + 34*h**2 + 169*h. Let c(g) = o(g) - 5*w(g). Factor c(d).\nAnswer: -(d - 29)*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -794\/3135 + 12\/55. Is r != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13452*l**4 + 110*l + 3?\nAnswer: -161424*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 13 = f, 0 = 4*v + f - 2*f - 11. Factor 13*p**3 + 14*p**3 + p + v*p - 30*p**3.\nAnswer: -3*p*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 6*f + 34 = 0, -2*j - 4*f - 12 = -6*f for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -41900000 rounded to the nearest 1000000?\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*q + u - 6 = 47*q, u + 4 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1000)*-2)\/(4*(sqrt(32) + sqrt(8))).\nAnswer: -5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2830265309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19444 = -593*u - 60018 for u.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 48*q + 153. Let w be b(-51). Let n = -6 - -4. Let s be 2\/n - (-4 + (3 - w)). Let y(g) = -g**2 - g + 2. What is y(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -607, -2531, -5767, -10333, -16247, -23527?\n\"Answer: -3*j**3 - 638*j**2 + 11*j + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114627*j - 24755*j + 37495*j + 7700*j.\nAnswer: 135067*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5970 = -3*x + 2571. Is 0 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**3 + 5656*r**2 + 11372*r + 5680. Let v(b) = -b**3 + 1131*b**2 + 2274*b + 1136. Let x(u) = 3*f(u) - 16*v(u). Let x(o) = 0. What is o?\nAnswer: -1, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**2 + 0*y**2 + y**2)*(8 + 2 - 2)*(-9*y - 6*y + 3*y) - 2*y**3 + y**2 - y**2 to the form j*y**2 + w + z*y + h*y**3 and give h.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-3 + -4 + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12763*f**3*j**2*u**2 + f**2*j*u**2 - 14*f**2*u**2 - 2*f + 3*j**2 + j wrt f.\nAnswer: -76578*j**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 140 + -96. Suppose f + 4*f = -a + u, 3*f = a + 20. What is the least common multiple of f and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*k**2 - 46*k**2 + 28*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -29*g**2 + 540*g + 11. Let c(t) = -5*t**2 + 108*t + 2. Let v(o) = -11*c(o) + 2*w(o). Factor v(z).\nAnswer: -3*z*(z + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51? (a) -4 (b) 3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 76.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -126945 and -1105.\nAnswer: -128050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 150834 less than 1.89199?\nAnswer: -150832.10801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6665 and 1075.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3863 or -1\/2?\nAnswer: 3863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (32900\/(-15))\/(-14)*3?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11795643*x + 11795643*x + 8*x**2.\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 97 + i**2 + 1\/3*i**3 - 219*i. What is the derivative of u(b) wrt b?\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t - 131068 = 146557. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7961.093um?\nAnswer: 0.000007961093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6835?\nAnswer: 5, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 376\/3 - 1\/3. Suppose -2*y - w = 51. Is (1 + -4)*y\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**(2\/23)\/k))**(-22)\/(k**(-3\/7))**(1\/7) assuming k is positive.\nAnswer: k**(-72157\/1127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135747263.69999972 + 135747255. Let p = g - -8.7. Round p to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/2 and 16\/957.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53740 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6656204 is divided by 2181.\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.084872 + 0.418038. What is u rounded to 2 dps?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 1\/71942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 9 = -s, -4*p - 5*s + 99 = 0. Suppose p*w - 19*w - 406 = -4*i, 0 = 3*i - 4*w - 288. What is the remainder when 195 is divided by i?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**25\/n)*n*n**(-1\/3)*n)\/(n**(2\/5))**7 assuming n is positive.\nAnswer: n**(-362\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11d1ce (base 15) to base 11.\nAnswer: 533931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -780208*y**2 + 94485*y?\nAnswer: -1560416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 17 = -4*g, -5*g - 20 = 5*i - 0*g. Let s(v) = -1. Let y(x) = x**2 - 3*x - 2. Let m be y(-1). Let z(b) = -b - 3. Determine i*z(a) + m*s(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*l - 13. Solve 23 = 3*p - 5*q, l*q + q = 2*p - 18 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127 - 145. Which is bigger: -7 or k?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 1.2. Let m = 2 + y. Let w = -0.391 - 0.009. Sort -1, w, m in descending order.\nAnswer: m, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 13*x = -4*y + 13, 2*x + 5 = -y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -5. Calculate the smallest common multiple of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*m + 77 = 0. Let j = m - -21\/2. What is the closest to -0.1 in 2, j, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2459.7 and 2.\nAnswer: -4919.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22282)\/(-36) + 7\/21. Let d = f - 617. What is the common denominator of d and 19\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 2 + 9*m**3 + 1.\nAnswer: 9*m**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 12:56 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**5\/60 + t**4\/8 + t**3\/2 - 2*t**2. What are the prime factors of l(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4721, -4721, -4731, -4757, -4805?\nAnswer: -4881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - 3.04. Let c be -3 - ((-36)\/(-4))\/(-3). Let d be 5\/25 + c + -1. Sort d, v, 0.1 in ascending order.\nAnswer: v, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6ab + -1?\nAnswer: -6ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 243\/310 or 509?\nAnswer: 509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 7 + 13 = 0. Suppose q - 4*y - 8 = 0, 4*y = -a*q - 20 - 8. Suppose 5 - 11 = -2*w. Sort w, q, -3.\nAnswer: q, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*v + 24*v + 62*v + 5*v**2 + 41*v - 162*v.\nAnswer: 5*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 2*g**2 - 6)*(-1 + 3 - 4)*(9 - 18 + 0)*(13*g - 26*g + 7*g)*(-1 + 2 + 1) as k + u*g + v*g**3 + b*g**2 and give v.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.7523144 to 1 decimal place.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d - 4. Let v(b) = -3*b. Let y(c) = 14*c + 1. Let f(h) = -18*v(h) - 4*y(h). Let q be (216\/(-252))\/(9\/(-42)). Calculate q*z(i) - 5*f(i).\nAnswer: 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a + 315 + 88 - 43 = 0 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1610 - 1606. Sort v, -3\/2, -70.\nAnswer: -70, -3\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 3) + 3 - -32. Solve -5*i + w = 5*w - j, 4*i + 3*w - 25 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 8*y = 123. Suppose -6*t - y = -7*t. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -331. What is the highest common factor of l and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*d - 1076, d + 40 = 4*s + 309. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -59 - -63 - (-1 - -1 - 1). Solve -j*h + h = -4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31\/2 - 145\/12. What is the common denominator of 37\/33 and u?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2 = 0, 107 = 3*u + p + p. Suppose u = 5*w + 587. Round w to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12250*k**6 - 85*k**5 - 7*k**3 - 17192329*k**2 + 14*k wrt k?\nAnswer: 1470000*k**3 - 5100*k**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) -19 (c) 80 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1704 divided by -2?\nAnswer: -852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -692\/15. Let t = -1.8 + -0.2. What is the smallest value in b, -1\/6, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -196, 2, -30, 4, -1 in decreasing order.\nAnswer: 4, 3, 2, -1, -30, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1364857461 + 8*q + 1364857461.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j*j**(-22)\/j)\/j*j**23\/j*j*(j\/(j*(((j*j**(1\/17))\/j)\/j)\/j))**(-50) assuming j is positive.\nAnswer: j**(-1633\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + (-37 - -24) - (5 + 1)) + 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 1, -16, -2 in increasing order.\nAnswer: -16, -3, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5063000 rounded to the nearest one hundred thousand?\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11931744067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 52869 (b) 10 (c) -3 (d) 2 (e) -0.3 (f) -25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 140*u. Let c(h) = -75*h. Let z(y) = -3*c(y) - 2*d(y). Let g(b) = 15*b**2. Calculate g(z(i)).\nAnswer: 45375*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + g = -0 + 11, 2*g = -3*x + 29 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3.464561 minutes?\nAnswer: 207873660000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.5 - 15.563. Let r = 0.21996 + -0.25696. Let c = t + r. What is the biggest value in c, 0.12, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -235.5 * 131\nAnswer: -30850.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 2:06 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**3 + 885*m + m**3 - 885*m.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, l: 9, z: 4}. Give prob of picking 2 r.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*m + 12, z - 3 = -0*z. Suppose 3*g + m*g = 90. Suppose -r + g = 2*r. Calculate the remainder when r is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 29. Let c(z) be the second derivative of -z**5\/20 - z**4\/3 + z**3 + z**2 + z. Calculate c(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1054.32 + 1053. Round n to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321 = -3*j + 141. What is the highest common divisor of j and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (37\/(-3))\/(((-5)\/(-3))\/(-5)) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*h = -684 + 376 + 1608 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1623 = -14*a + 351. What is the highest common factor of a and 188?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 20 = 2*p. Suppose p*i - 351 = i. What are the prime factors of i?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117197?\nAnswer: 163, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6909080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*y + 5*n, -4*n + 7 = 5*y - 3*n. Let b(m) = -m**y + m**2 - m**2 + 0*m**2. Let z(l) be the first derivative of -l**3\/3 - 1. Determine b(z(v)).\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 365 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -631*a + 628*a = 12, -6 = -2*b - a. Solve -2*j = -3*j - b*r + 16, r - 2 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 - 222 - (0 - -6) - 138\/6?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkgkkgggkkgkgk. What is prob of picking 2 k?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/8)\/(g**(6\/11)*g)*(g\/(g\/(g\/(g*g*g\/(g*g**8)*g)))*g*g)\/(g*g**(-3\/7)) assuming g is positive.\nAnswer: g**(3547\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 8*u**2 + 12*u - 2. Let r = 30 + -28. Let t be r\/10 - (-62)\/(-10). Let z be b(t). Are z and -8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2. Let m(h) be the third derivative of -h**6\/360 - h**5\/40 - 5*h**4\/24 + 23*h**2. Let a(y) be the second derivative of m(y). What is x(a(t))?\nAnswer: -4*t**2 - 12*t - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18122 and 17516902.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**2 - 6*s**2 - 3*s**2 - 7*s**2 + s**2 - s**2 + (-6*s + s + 4*s)*(-4*s + 7*s - 2*s) + 2*s**2 - s**2 + s**2.\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*b = -89, 2*b = 3*l - 0*b + 66. Is 5 a factor of (-4)\/(-10) + (-132)\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*c**2 - 2*c**3 - 57*c**2 - 4)*(0 + c + 0).\nAnswer: -2*c**4 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*g - 916 - 3389. Let u(r) = -15*r - 23. Let l be u(-7). What is the highest common divisor of l and g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.4, 1, -5, 2, -51, 0?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-42))\/((-299)\/(-8372)). Suppose 0*f = -2*f + 2, 0 = 4*w + 4*f - 20. Sort w, -3, -5, v in ascending order.\nAnswer: -5, -3, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79.2 + 79. Let d = 1 - w. What is the smallest value in d, -1, 1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzllwwwdqxdz. What is prob of sequence zzw?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 1:19 AM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 11, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**0)**(-1\/2)*l**3*l**3*((l**(1\/4))**(2\/17))**(-2\/55) assuming l is positive.\nAnswer: l**(10283\/1870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 140804.\nAnswer: 1267236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -149059 - 1446?\nAnswer: -150505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262191 is divided by 274.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((i**2 + 4*i**2 - 3*i**2)*(2*i + 4 - 4) - 2*i**3 - 4*i**3 + 5*i**3)*(-19*i - 12 + 12).\nAnswer: -57*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 9003 and 9003 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 29*j - 22. What is the units digit of u(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/5, -0.078, 3\/7, -46, 7\/13?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1719\/7 - -246. Suppose 83 = -2*c + 81. Is c not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, 11, -3, 3, -33, -2, -9 in increasing order.\nAnswer: -33, -9, -3, -2, 3, 11, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**4\/4 + 10*a**3 - 29*a**2 + 51*a + 1969. Give i(28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*h + 5*h - 20 = 0, -20 = -3*w + h. Suppose w*d - 27 = 4*j - 6, -j = -1. Solve 2*o = 3*a + 7*o + d, 0 = 2*a - 2*o + 14 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 95, 11, 4, -2, -34.\nAnswer: -34, -2, 4, 11, 24, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v + 6. Let n be x(-5). Let k(r) = -11*r - 6. Calculate the remainder when k(n) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -206 + 206.2. Sort 0.12, u, -33, -0.2.\nAnswer: -33, -0.2, 0.12, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 7*v - 5. What is the lowest common multiple of i(8) and (-5 - -2) + 126\/7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: e6ea42 (base 15) to base 8\nAnswer: 51716162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0*(-2)\/(-6))\/(-1). Let q be -3*(b - -2)\/(-2). Let j(p) = 3*p**2 - 3*p - 4. List the prime factors of j(q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zoo. What is prob of picking 1 z and 1 o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4479 and 141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 4. Suppose -5*f = -4*p + 10, 2*p + p + 4*f = 23. Let v be s(p). Is v less than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.024\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4134774 and 8.\nAnswer: 16539096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h**4\/7 + 3060*h**3\/7 + 103505*h**2\/7 + 118620*h\/7 + 18164\/7 = 0. What is h?\nAnswer: -239, -38, -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -939*a**6\/40 - 7*a**5\/12 + 19*a**3\/6 + 40*a**2 + 4*a. Find the third derivative of u(k) wrt k.\nAnswer: -16902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + m**3 - 2*m**2 + (2*m + m - 6*m)*(-3*m**2 + 3*m**2 + 10*m**2) + 3 - 3 + m**3)*(-4 + 1 + 1).\nAnswer: 56*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5784 and 424177352.\nAnswer: 1272532056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 12703984 = 4*d + 372016, -2*u + 13076000 = 2*d. Round u to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11621833 to the power of 1\/2, to the nearest integer?\nAnswer: 3409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/(-60)*(-1590)\/(-1325)*-5*(-2)\/8?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115401, -115403, -115405?\nAnswer: -115407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 - 510 - k**3 + 65*k - 508 + 1020 as w*k + n*k**2 + p*k**3 + o and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83.9 - -84. What is the closest to 3 in w, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -99469623*f**4 + 62*f**2 + 123*f - 18.\nAnswer: -2387270952*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*h - 22, 6*h = 2*h - 4*s + 8. What is the remainder when h is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-65)\/(-39))\/((-2)\/(-6)). Let n(b) = 30*b**2 + 5*b + 3 - 3*b - j*b - b. Is n(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2555101.1 and -0.08870172.\nAnswer: 2555101.01129828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2365 is divided by 182.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 20*f + 23. Calculate the remainder when q(0) is divided by -2 + 2 - (-2 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 4 - 1)*(-2*w - 4*w + 5*w) - 4 + 4 + 15*w)*(-6 + 0 + 4)*(-1 + 3 - 18) to g*w + b and give g.\nAnswer: 544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r - 17541 = -65967. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*d - 311 = 415 + 70. Let f = -31.83 - 0.17. Sort -3\/8, d, f in increasing order.\nAnswer: f, -3\/8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -0.13 (c) -8 (d) -1 (e) 3 (f) -5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 223574, 447183, 670792, 894401, 1118010, 1341619?\n\"Answer: 223609*f - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/9)\/(94\/141).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -600, 0, -2\/9, -2, -0.1 in decreasing order.\nAnswer: 0, -0.1, -2\/9, -2, -600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -129\/13352878 and -149\/11512452.\nAnswer: 3925746132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -872 + 873. Let i = -65 - -113. Let t be i\/18*(-6)\/(-4). Solve t*p = a - l - 7, -19 = 4*a + p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 522, 1, 0.4.\nAnswer: 0.4, 1, 522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*f = -2*f - 45, 5*r - 4*f - 70 = 0. Let j = r - 10. Suppose j = s + 4*s - 190. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -6, -7\/5, -4, 0.3 in descending order.\nAnswer: 0.3, 2\/7, -7\/5, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 2*w - 1. Suppose 15 - 2 = r + 4*d, d = 5*r - 2. Let z be k(r). Solve -5*l - z*q = -29, 0 = -4*l - 5*q + 18 + 13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -150, -221, -290?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-7)\/28)\/((-1)\/(-1)))\/((-30)\/72)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 19?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*k = 61 - 11, 3*k = -4*f - 47. Let o(p) = 3*p + 9. What is o(f)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 13*v**2 - 6*v - 585. Let i(a) = 23*a**2 - 11*a - 1159. Determine 5*i(y) - 9*j(y).\nAnswer: -2*y**2 - y - 530","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 294\/8 + (-4)\/((-112)\/35)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9*f + 41. Let u be o(-9). Let b = -128 + u. What is the smallest value in -0.4, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/7))**(19\/6)\/(z**(-3\/11))**(-44) assuming z is positive.\nAnswer: z**(-187\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111000010101100010 - -10?\nAnswer: 101111000010101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*r + 52*r - 20*r)*(-2 - r + 0*r + 3*r) to o*r + b*r**2 + m and give b.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 4*y**2 + 4*y - 1. Let r = -10 + 27. Let d = 12 - r. Let o be a(d). Calculate the greatest common divisor of 8 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2 = h, 8 = 4*h - 3*l - 2*l. Let n(j) = -2*j**2 + 5*j. Let c be n(4). Let u = -6 - c. Calculate the smallest common multiple of u and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f + 16 - f**3 + 9*f**2 - 34 + 16. Let g be t(4). Factor -r**2 + g - r**4 - 86 - 2*r**3.\nAnswer: -r**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -10*t**3 + 549*t**2 + 44*t - 124. Determine l(55).\nAnswer: -729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39512 + 1182*u + 39512)*(3*u - u - u + (-2*u + 3 - 3)*(-1 + 5 - 5) - u + 3*u - 3*u).\nAnswer: 2364*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1007 to 3 decimal places.\nAnswer: 0.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31400740, 62801478, 94202216, 125602954, 157003692?\n\"Answer: 31400738*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 - -101011?\nAnswer: 100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -696*x = -379 - 18413 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3*i**4 + 2*h**3*i*s - 2*h**3*i - 9*h**2*i*s - 2*i**3 - 6*i**2*s - 2*s wrt i?\nAnswer: 24*h**3*i**2 - 12*i - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 40*p + 116. Let f be d(-3). Suppose 7*w = w - 228. Let t = 41 + w. Solve 4*s = f*q - 12, t*s + 2*q = -3*q - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-8 - (-24 + (18 - 7)))) + 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18 - 927344)*(-30)\/(-1). Suppose -9254165 = k + 33865615. Let q = k - x. Round q to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.415 - 71005.\nAnswer: -71006.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1662501.\nAnswer: 3, 554167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 - 12*w**2 + 6*w - 2. Let c(s) = s**3 - 11*s**2 + 5*s - 1. What is -4*c(y) + 3*k(y)?\nAnswer: 2*y**3 + 8*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 5 = -11*m. Let q(z) = -6*z + 4. Let w(p) = -7*p + 5. Let n = 1 + 4. Suppose -n = -v + 1. What is m*w(b) + v*q(b)?\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-8) - (-43)\/(-4). Let b = 12 + l. Let z(r) = 1 - 3*r + 1 + r + r**2. Give z(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5\/6 - 3\/6) + (-17440640)\/(-1785)?\nAnswer: 3, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*c = 412, 3*c = 2*j - j + 113. Let z = j + 111. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -913, -1828, -2743, -3652, -4549, -5428?\nAnswer: -6283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -157 - -152. Let m(u) = 17*u**2 + 16*u + 46. What are the prime factors of m(c)?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 divided by -97?\nAnswer: -682\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00041348302 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*n + 3. Let a be (1\/n)\/(4\/48). Is 2008\/(-12)*a\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 13 - 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 32b46 (base 12) to base 5\nAnswer: 4123202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1839 to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -8. Suppose -j + 2*s = 5*s + 3, -2*j - 2*s = -i. Sort -2, 0, j in decreasing order.\nAnswer: j, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w - 7*w**2 + (2 - 3 + 3)*(-w**2 + 0*w**2 + 2*w**2))*(0 - 1 + 0).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4\/13, 3\/4, -1 in descending order.\nAnswer: 2, 3\/4, 4\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6785 + -4?\nAnswer: 6781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 864.7328 millilitres in litres?\nAnswer: 0.8647328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -83 - -90 - (14 + -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 8*n**2 + 57*n + 38. What is o(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, f: 1, e: 10, n: 5}. What is prob of sequence ne?\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3511134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31.975 - -0.025. Let d = 6 - x. Let n = d + 25.35. What is n rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 13*b**2 + 21*b + 3. Determine w(-14).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27095 + 27094. What is the second smallest value in 17.05, 0.4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f = 4. Suppose f*x = 7 + 3. What is the third derivative of 5*w**2 - 20*w**5 + 0*w**2 + 24*w**x wrt w?\nAnswer: 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*((-640)\/(-4))\/(-4). Let t = 60 + h. Suppose 0 = 15*m - 11*m - t. Solve m*q = 2*w - 23, -1 = 2*w + 4*q + 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 + -1.3. Suppose -4*n - 4*m + 36 = 0, 3 - 14 = -3*n + m. Let k be (n\/(-15))\/(22\/12). Put c, k, 11 in descending order.\nAnswer: 11, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**4 - 2*k**2 - 1392*k**3 + 5*k - 6*k + 1342*k**3 + 3 to the form u*k + w + b*k**3 + c*k**2 + s*k**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*d**4 - 1 + (-3 + 4 - 2)*((d + 3 - 3)*(-d**3 + 3*d**3 + 4*d**3) + 0*d**4 - d**4 - 3*d**4) to i*d + w*d**3 + u*d**2 + l*d**4 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 9. Let l be a(9). Suppose l = -4*m, -4*o - 3*m + 192 = m. 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 are the prime factors of 238 + -239 + 3\/((-6)\/(-6608))?\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 1.189\nAnswer: -1.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48740738.\nAnswer: 2, 19, 263, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**2 - 62*h + 38. Let a be u(15). Is a at most 0.33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 0*o + 1 + 8*o + o**2 + 3. Let p = -22 + 11. Let r = p + 8. What is k(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6220)\/6*-3 + -9 + (21 - 6)?\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.8099 millennia in months?\nAnswer: 369718.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*i**3 + 130*i**3 + 13*i**2 - 64*i**3 + 2054*i - 13*i**2 to h*i**3 + n + k*i**2 + j*i and give j.\nAnswer: 2054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*39393.\nAnswer: -39393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3682825?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20, -2, -52, -142, -284?\n\"Answer: -2*r**3 - 2*r**2 - 2*r + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 6:50 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/8))**(-19)*(l**(-1\/4)\/l)**(-3\/2) assuming l is positive.\nAnswer: 1\/sqrt(l)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(13)*1)**2 + sqrt(13))*-6.\nAnswer: -48 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 71218 + 71218. Let r(c) = -82*c**2. Give r(n(j)).\nAnswer: -82*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 5 - 7. Let c = q + 13. Let m(l) = 2*l**2 - 13*l + 12. Let v be m(c). What is the highest common divisor of v and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1638\/99 + (-6)\/11\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3844 and 11748.\nAnswer: 11289828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*h - 2 = 0, -6*j = -8*j + 3*h - 4. Let g be (-6)\/9*6 + j + 203. What is g rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18136595, 36273194, 54409793, 72546392, 90682991?\nAnswer: 108819590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/5 + 16*v**3\/5 - 122*v**2\/5 + 104*v\/5.\nAnswer: 2*v*(v - 4)*(v - 1)*(v + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11137 and 777?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 11. Is 1 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -162*v**3 - 2502*v**2 - 1088*v - 120.\nAnswer: -2*(v + 15)*(9*v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 8*z - 24. Suppose z*y = 198 + 346. What are the prime factors of y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/5)*m*m*m\/(m**(-6)\/m))\/(m**0)**(5\/7) assuming m is positive.\nAnswer: m**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 60.4 and 776373.\nAnswer: 776433.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 9. What is the remainder when 12 is divided by q(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122 and 142069.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i = -14*i + 4. What is the units digit of (1 - i) + 1 + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.04302 - -8.18. Let w = p - -100.45302. Let n = w - 101. What is n rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28912000 to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 56. Let c be (-86)\/(-18) + l\/(-126). Let a(k) = 3*k**2 - 6*k - 4. List the prime factors of a(c).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*4\/8*1. Let g be (8\/10)\/(k\/10). Let o be (225\/(-100))\/((-3)\/g). Solve -3*r = 3*y + 2*y + 6, -4*y + 3*r = -o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-24))\/((-28)\/(-3))\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.4 - -7.4. Let b = -0.02 - -0.42. Which is bigger: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -185.4 minus -0.3?\nAnswer: -185.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1179 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**2 - 10*q - 110411 + 110411 = 0 for q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*r + 3*v + 3, 3*r + 9 = v. What is the second smallest value in r, 0.3, 0.174, 1, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.26 + -13.44. Let b = -14 - d. What is the third smallest value in b, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + -7 - (-6 + 2). Let l be 3 - (j - 0) - -3. Suppose 0*a - l = -3*a. Which is greater: a or 9\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 11*s + 1. Let k(w) = -10*w - 2. Let v be (8\/10)\/(4\/(-30)). Let l(i) = v*j(i) - 7*k(i). What is the derivative of l(g) wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20.1 - -20. Suppose -5*z + 2 = -3. Let r = 1 + z. Is g > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92457 is divided by 1595.\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11603?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8182103 and 31936?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 842 + 549 = 13*o. What is the remainder when 314 is divided by o?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 10*f = 0, 0 = -2*x + 5*f - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*f + 12 = -336*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1131 and 2.5?\nAnswer: 1128.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-6) - -4)*-1 + -4.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -1 (c) -2 (d) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1369470 is divided by 48?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 75, 101, 129, 159?\n\"Answer: s**2 + 23*s + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434 = 6*z - 1594. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -24. Let m = 2\/195 - -23\/39. Suppose -10 = -6*r + 4*r. Which is the nearest to m? (a) r (b) l (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*r + 4, -26 = 2*f - 4*r. Let i be f + 15\/25*5. Suppose -4*x = 3*t - 111, 4*x + i*x + t = 101. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 508 a factor of 1914144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfffffffffffffffffff. Give prob of picking 1 v and 2 f.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -3*i + 5*i. Let r = i - -35. Suppose -5 = 2*d - 5*n - 1, r*d + n - 14 = 0. Solve -d*u + 2*q = -0*u + 18, -4*u = 2*q + 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 1\/6*c**4 + 0*c**2 + 2*c**3 - 1 + 8*c. Factor p(z).\nAnswer: 2*z*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -14. Let s be (-5)\/(26\/14 - b). Let r = s - 10. What is the remainder when 122 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(2\/(-4) + 0). Calculate the highest common factor of q and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r + 5*r - 4*r + 1. Let h be 2\/(-17) - 57\/(-51). Let p(q) = -q. Let x(s) = h*t(s) - 2*p(s). Differentiate x(l) with respect to l.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82208\/68515 + 2\/13703. Factor -3*m**3 - 12\/5*m**2 - i*m**4 - 3\/5*m + 0.\nAnswer: -3*m*(m + 1)**2*(2*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*v + 120 = 3*a, 195 = 3*v - 3*a. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 7*b**3 + b**2 - 3*b. Let u(n) = 12*n**3 + 3*n**2 - 5*n. What is 2*u(y) - 5*z(y)?\nAnswer: -11*y**3 + y**2 + 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1114887.\nAnswer: 3, 47, 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -486 + 495. Let k be -10 + (f - -8) - (2 - -3). Find x, given that 0*x + 0 - 3\/4*x**4 + 1\/4*x**k - 1\/2*x**3 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 7. Let p(c) be the first derivative of -c**2\/2 + 9*c - 2. Let w be p(s). Solve -y = w*y - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q + 14. Let x be p(16). Let y = x + -25. Let v = y - -45. Solve 2*i + 0 + v = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyiyyiyiy. Give prob of sequence yyi.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m - 5 = -5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9140307?\nAnswer: 3, 11, 29, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 914 divide 112256566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/3120210 and -209\/983850.\nAnswer: 109207350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u + 5. What is the remainder when 84 is divided by l(6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 712542.\nAnswer: 2, 3, 118757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 0*i**2 + 2*i**2 - 2 - 4.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1648070*i + 1648082. Give f(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22211301 (base 6) to base 3.\nAnswer: -1021001120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48466 is divided by 16108?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 4. Let g(c) = c**3 - 8*c**2 + 7*c + 1. Let k be g(7). Suppose -u + 3*p = -2*p - 4, 5*u + p + 6 = 0. Put z, k, u in decreasing order.\nAnswer: k, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -39, -62, -89, -120, -155?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2. Let o(r) = 91*r + 28. Let h(f) = -6 + 3 - 2 - 10*f + 2. Let t(m) = -28*h(m) - 3*o(m). Calculate t(v(d)).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**3\/6 - c**2\/2 + c. Let k(m) = 4*m + 5. Calculate -6*a(b) - k(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c + c + 2*c. Let o(n) be the second derivative of -n**3\/2 - 5*n. Calculate t(o(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**4 + 84*g**3 + g**4 + 1058 - 1080 + 80*g**3 to h + z*g**2 + y*g**4 + c*g**3 + n*g and give c.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191900 divided by -101.\nAnswer: -1900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t**2 - 13*t**2 + t**2 + 0*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228 and 106970.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 749*n - 748*n - 2*n**2 + 1 - 2 - 2*n**3. Let v(j) = 2*j**2 - 3*j - 236. Let h(f) = l(f) + v(f). What is the first derivative of h(x) wrt x?\nAnswer: -6*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32748053, 65496099, 98244141, 130992179?\nAnswer: 163740213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-116)\/(-20) + -6)\/(-1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -1440.1?\nAnswer: 720.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, j: 3, k: 11}. What is prob of sequence jjkk?\nAnswer: 11\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (582\/72)\/((-437)\/1748).\nAnswer: -97\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**5 + 134*f**4 + 57270*f**3 - 134*f**2 - 57268*f = 0.\nAnswer: -139, -1, 0, 1, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 10*r**2 + 3*r + 9. Let j be a(8). Let g be (2 - j) + (0 - -2). Suppose -5*s + 364 = g. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*i + 29 + 686, 174 = i + 5*p. Suppose 159*n - i*n = -320. What is the remainder when 109 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 604565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.05387 and 1483.1895.\nAnswer: 1483.13563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41667 and 21?\nAnswer: 291669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*m - 221 - 314 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.18 + 2.18. Are y and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*m - 552 = 0, 3*k - m - 327 = -0*k. Let d = -1 - -13. What is the greatest common factor of k and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 2, -0.1, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384196027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - k**4 - 2)*((2*k + 2*k - 2*k)*(1 + 4 - 4) - 7*k - 2*k - 2*k - 3*k + 3*k + k).\nAnswer: 8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*a = -15 + 4, 0 = -3*i - 4*a + 18. Let d = 14 + -10. Find the first derivative of f**2 - 1 - d*f**i + f**2 wrt f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 8*c**2 - 15*c - 22. Let s be g(-6). What is the third biggest value in s, 13, -0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2564 is divided by 61.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 - 211848*m**2 + 5610370560*m - 22438092800.\nAnswer: 2*(m - 52960)**2*(m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7345*j**2 - 8*j. Let r(q) be the second derivative of -q**3\/6 + q. Let v(z) = -2*r(z) - y(z). Let t be v(8). What is t rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/49237398 and 67\/103945618?\nAnswer: 935510562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21, -41, -61, -81, -101, -121?\n\"Answer: -20*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4 + 68*w**2 - 77*w**2 + 5.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101200 (base 3) in base 14?\nAnswer: -124c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*l - 0*u + 5*u, 0 = -2*u - 2. Solve -5*o + 0*o + 15 = l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 2*z**2 - z + 11. Let x be k(0). Let h(m) = m - 2. Let l be h(x). What is the second derivative of l*t - 21*t - 10*t**2 + 25*t**2 wrt t?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/5)\/(w\/(w\/(w\/((w*(w\/w**(3\/4))\/w)\/w)))))**24 assuming w is positive.\nAnswer: w**(-114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*((-4 + z + 4)*(-2 + 1 + 2) + 9*z + z - 3*z) + (1 + 2 - 2)*(-4*z + 0*z + 2*z) - 6*z + 3*z + z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 101 - 99. Let j(w) = w**2 - 5*w - 10. Suppose -16 = -2*y - 0*y. Let k be j(y). Calculate the highest common divisor of k and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 17. Let l be 3\/(-2)*(-32)\/6. Suppose 0 = -5*b + l + 2. Solve 22 = b*c + 4*k, 0 = -5*c + 4*k - 0 - s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726068*h = -726349*h - 9554 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 51, -1, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 2*a + 8 = 0, 3*a + 53 = -2*r + 81 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**2 - 14*q**2 - 14*q**2)*(-2*q**2 - 3*q**2 - 2*q**2 + (0*q**2 - q**2 + 0*q**2)*(-2 + 3 - 4) - 2 - 3*q**2 + 2).\nAnswer: 231*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g*h*z**5 - 2*g*h - 20*g*z**2 + 42*g*z + 7*h*z**2 - 2*h + z wrt z?\nAnswer: -20*g*h*z**3 - 40*g + 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2059808113 to the power of 1\/3, to the nearest integer?\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2212879 (base 12) to base 2.\nAnswer: 11000110001101101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**4 + 2*t**3 + t**2 - 2*t + 1. Let z(o) = -10*o**3 - 5*o**2 + 56*o - 717. Let c(r) = 5*g(r) + z(r). What is the derivative of c(p) wrt p?\nAnswer: -20*p**3 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (27*-2)\/((-15)\/10). Let b = o + -22. Suppose -2*k + b = -16. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 - 41. Calculate the smallest common multiple of 18 and (-5)\/10*(-21 - w).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dedde. What is prob of picking 1 e and 3 d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (183\/21 - (38 + -32)) + -3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 675.2 + -559. Let d = f + -116. Is d bigger than 0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15023 divided by -1\nAnswer: -15023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(11) - sqrt(33)\/sqrt(3)) + (2*sqrt(132))\/sqrt(12))*-4.\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -0*g - 3*g + 87, 16 = 4*g. Let t = s + -11. Let z = -111 - -111. What is the closest to z in 0, t, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 11:41 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w - 2*w - w)*(-2 + 4 - 4)*(-3*w - 9*w - 7*w) to x*w**2 + v*w + a and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -1529.\nAnswer: -1530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 3*s - 5*q = -177, 5*q = -15. Let g = -95 + s. Let p = -12 - g. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by 828.\nAnswer: 25\/414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4445723 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: b\"What is the wth term of -7, -20, -13, 32, 133?\n\"Answer: 3*w**3 - 8*w**2 - 10*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 69*y**2 + 1. Let f(r) = 5*r**2 - 5245092 + 5245092. What is f(t(p))?\nAnswer: 23805*p**4 + 690*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-48))\/((-14)\/(-4)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0445*3\nAnswer: 0.1335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-292)\/(-6))\/((88\/12)\/11) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2625)\/100)\/(1185\/(-79))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - d6a8?\nAnswer: -d6ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4828131\/4 at least 1207032?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 908029, 1816057, 2724085, 3632113, 4540141?\n\"Answer: 908028*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 6*w - 8*w + 12*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -250213 (base 8) to base 3.\nAnswer: -11101011221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29250673687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16 - -19)*1\/(-1). Let f(j) = -3*j**2 - 8*j + 3. Let k be f(d). Is k + (1\/(-1) + 1950)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5 = 0, -2*b + 3*q = -21 - 2. Suppose -b*o = -o - 6. Suppose -o*k - 5*p + 226 = 0, 3*k = -4*p - 0*p + 353. Is k a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000324?\nAnswer: 2, 13, 19237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -17.92. Which is smaller: x or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5551087, 11102145, 16653203, 22204261, 27755319, 33306377?\n\"Answer: 5551058*j + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 at most 229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j = -2*v + 135454, -270928 = -4*j + 6*v. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4\/2 - 7266*k**3 + 618969*k**2\/2 + 887130*k - 110182950 = 0. What is k?\nAnswer: -17, 30, 4801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + -3 + (-1 - -5). Which is bigger: l or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5*(sqrt(200) + 2) + (sqrt(200) - -1*sqrt(200))*2 + sqrt(200)))**2.\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 2:38 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -9 - j + 0*j**2 + 7*j**2 + 7*j. Calculate the remainder when m(2) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77532 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 2:53 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 2\/13, -20, -2, -3\/7, 880, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -2)\/(9\/(-8)). Let y(u) be the first derivative of 2\/27*u**3 + 4\/9*u**2 + s*u + 1. Factor y(p).\nAnswer: 2*(p + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -436\/9 and 280 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1841*s**2 - 5 - 4*s**4 - 1841*s**2 - 2*s**3 as b*s**4 + f + w*s**3 + q*s**2 + o*s and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*m**2 + 29*m**2 - 6 + 25*m**2 in the form i*m**2 + x*m + j and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -5*t**4\/24 - 21*t**2. Let s(n) = 8*n + 0*n + 5*n - 7*n + 5*n**2 - 4*n. Calculate s(w(i)).\nAnswer: 125*i**2 - 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**2 - 3340*k - 36256 = 0. What is k?\nAnswer: -824, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 1 - 4*c + 7*c**2.\nAnswer: 7*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-8)*(-8)\/(-51). Let s = 1\/34 + i. Which is the smallest value? (a) s (b) 0.5 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*l**2 - 2\/13*l**3 + 2\/13*l - 2\/13*l**4 + 0.\nAnswer: -2*l*(l - 1)*(l + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 - 14*a + 3. Let q be i(7). Suppose 0 = 4*w - 4*r + 16, 7 = r + 3. Solve -q*y - 2*y = w for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14573 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -2\/11 (c) 474\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 8:46 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14550*f*w**3 + 3*f - 2069 wrt w.\nAnswer: -43650*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -81ba7?\nAnswer: -81ba1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20261 is divided by 2528.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -562 + 562. Which is the nearest to j? (a) 0.3 (b) -1 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 237992*n - 748393?\nAnswer: 237992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -817.7 + 817.3. What is the smallest value in -3\/125, z, 2\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -15*y. Let t(h) = -5*h**2 - 2*h**2 - 2*h**2 + 14*h**2. Give l(t(u)).\nAnswer: -75*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3026, -2994, -2944, -2876, -2790?\n\"Answer: 9*t**2 + 5*t - 3040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70244461 is divided by 1753.\nAnswer: 1751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2284944970 divided by 3?\nAnswer: 2284944970\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 54337 divided by -5\nAnswer: -54337\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdtzzdgtt. What is prob of picking 3 t and 1 z?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -n + 1. Let l be n\/((-1)\/((-5)\/2)). Suppose 0*m - 16 = -l*m + k, -3*m = -k - 10. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**2 - 80259*a + 80258*a + 3*a**2 + 1 - 137*a**3 as u*a**2 + i*a**3 + y*a + f and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 83. Let z be m(-11). Let t = -72 - z. Solve t*i - 6 = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**2 + 2*f. Let p be s(-3). Suppose 0*c + c + n - p = 0, 3*c - 2*n = 58. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18941517?\nAnswer: 3, 7, 47, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 1. Let p(r) = -3*r - 1. Let j(v) = 218*v - 190. Let m(x) = -j(x) - 6*p(x). Let s(i) = -4*g(i) - m(i). Differentiate s(h) wrt h.\nAnswer: 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5\/9 - 4*g**4\/9 - g**3\/3.\nAnswer: -g**3*(g + 1)*(g + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 40 = 5*m - 49, 0*q + 15 = 4*m + q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 8*t**2 + t - 6. Let v be r(8). Suppose 3*w + 65 = -5*f, -14 = v*f + 3*w + 21. Let b = 40 - 49. Which is bigger: f or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, l: 4}. What is prob of picking 1 l and 2 t?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + 5. Suppose 3*t - 5*r = p, 2*r + 5 + 0 = t. What is the remainder when 27 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10\/71 + 1143\/1562. Calculate the common denominator of k and 71\/338.\nAnswer: 3718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 2) to base 6\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 7*b**6\/6 + 3*b**5\/20 - 15*b**2 - 172*b. Differentiate z(r) wrt r.\nAnswer: 140*r**3 + 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2068672 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7803364 and 17812.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 38*b. Give i(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -83*g**2 - 320*g + 320*g + 399*g**2. Let w(d) = -19*d. Give l(w(o)).\nAnswer: 114076*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -24. Let f be (-8)\/m*(-6 - 15). Suppose -3*s + 46 = f. Solve -y = -4*y - s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z + 299 = -3*z. What is the remainder when z is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*s**2 - 77*s + 38*s + 38*s + 2 + (1 - 1 - 6*s)*(2*s + 1 - 1).\nAnswer: 3*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -2\/5 (c) -3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 28 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9176 and 54968.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12754 and 22?\nAnswer: 12732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -25 + -2 + -2103 + 2074.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 60, 304*y + 2*g = 302*y + 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(57)\/sqrt(3) + 1)**2)*3.\nAnswer: 9*sqrt(19) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117595 and 203?\nAnswer: 823165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20 (b) -17 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 - -14. Let l = 197 - 185. Calculate the greatest common factor of t and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-6))\/((-7)\/42). Let l(u) = 5 + 0*u - u - m. Determine l(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 2*y + 58, 2*t + y + 9 = -16. Let k be 8\/t + 422\/3. Suppose 6*n - n = k. What is the greatest common factor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -8*p + 0*p**2 + 5\/2*p**4 + 0*p**3 + 0. Let d(v) = v. Determine d(o(a)).\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 534*r - 12134 = 5583 + 7900 + 45405 for r.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000063866 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 17. Let f(d) = d**2 + 10*d + 17. Let v be f(j). Is (-1)\/(v\/(-69)*3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + o = 4, 5*o = 3*u + 15 + 5. Let l = 3 + u. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60901646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21795?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34424517*c - 39843939?\nAnswer: -34424517","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzm when three letters picked without replacement from znddznoimimnznd?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 11*q + 3. Let l be n(-11). Suppose l*t + t = 12. Suppose -1 - 5 = t*b. Is -1 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z**2 + 2*z + 1. Suppose 2*r + 1 = -1. Let l be p(r). Suppose -2*n = -l*n. Solve -4 + n = 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31936 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 403, 1448, 3195, 5650, 8819, 12708, 17323, 22670?\nAnswer: 28755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 884 is divided by 691.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 2*h**2 + 2*h + 81. Let n be r(-5). Sort n, -5, -61 in descending order.\nAnswer: n, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3976*-0.2\nAnswer: -795.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101*g*r**2*s - 2*g*r*s - 31*g*s - r**4*s - r**3*s - 3*r*s + 7*r wrt r.\nAnswer: 202*g*s - 12*r**2*s - 6*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 1\/22, -0.3, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -4*f - 5*b - 17, -b + 10 = 3*f. Suppose -5*r = l + 4, 3*l + f*r = l. Let h = 5 + l. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.073738 to three dps.\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.4195553 nanoseconds?\nAnswer: 0.000000000023659255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 4:57 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -1132?\nAnswer: -1125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 3:44 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2565*f - 246258. Determine r(96).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (0 - (-3466)\/(-2)). Let f = a + -24387\/14. Find the common denominator of -71\/10 and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.3 - -0.3. Let m = -3.94 - q. Let p = 1.44 + m. What is p rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a - 27. Let f(h) = -h**3 + 4*h**2 + 10*h + 2. Let r be f(6). Calculate the remainder when 74 is divided by s(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, e: 3, s: 8, w: 6}. What is prob of picking 1 f, 1 s, and 2 e?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113.48 - 118.48. Let w = 0.17 - -0.03. Which is the closest to w? (a) -2\/3 (b) t (c) -0.4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (54\/(-9) + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 5 - 2 - -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u + 0*u + 2 - 2*u + (-116 + 16 - 119)*(-12 + u + 4 + 4) to the form l*u + a and give l.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*(-1 + sqrt(1458))*2)**2*6.\nAnswer: -560256 + 20736*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 493458251 and 493458251?\nAnswer: 493458251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 19*t = -22*t - 38, 3*t + 18 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54217141267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.1 - 28. Let h = -50 + 47. Sort h, k, -4, 3.\nAnswer: -4, h, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484108.4 centuries in months?\nAnswer: 580930080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 + 120 = -o + 3*s + 88 - 117, -396 = -2*o - 5*s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4)\/a)\/a*a\/a**(-7\/3))\/(a**6\/(a*a**(4\/3)*a*a)) assuming a is positive.\nAnswer: a**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12\/28*(-7238)\/(-141)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 60667*w - 41840018.\nAnswer: (w - 682)*(w + 61349)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 5*m**2 - 196*m + 99. Give w(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q**3 + 4*q**2 - 4*q + 5. Let o(m) = -m**3 + m**2 - m + 1. Let w be (-24)\/(12\/(-16)*1). Let l be w\/8 - 8*1. Determine l*o(s) + p(s).\nAnswer: -s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 1353 = 11*d. Let v = d - 215. Let t = -41 - v. Does 17 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15321 + -6764. What are the prime factors of r?\nAnswer: 43, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/2442 and -31\/7128?\nAnswer: 263736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*x - 16*x + 206*x - 83*x**2 - 96*x**2 + 176*x**2 to the form q + n*x + c*x**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 - -2337?\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 384 - 81506?\nAnswer: -81122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q**2 + 5*q**2 - 2*q**2)*(q + 0*q - 3*q) - 3*q - 2*q**3 + 3*q + 6*q**3 - 16*q**3 + 6*q**3 as r*q + t + d*q**3 + l*q**2 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(567) - sqrt(567) - (sqrt(252) + 3).\nAnswer: -3 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 77*v**3 + 5*v**2 - 2*v + 5. Let q(k) = -115*k**3 - 7*k**2 + 3*k - 7. Determine -7*g(r) - 5*q(r).\nAnswer: 36*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by -15?\nAnswer: 44\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - b + 1)*(-440 + 440 - 16*b**3).\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**3\/3 + 883*w**2\/3 - 143836*w\/3 + 561152\/3 = 0 for w.\nAnswer: -1024, 4, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*1 + 0 + 3 + sqrt(99)*2 - (sqrt(176) + (-2*(3 + sqrt(176)) - sqrt(176)) + sqrt(176) - sqrt(176) - (-1 + sqrt(176) + 0)))**2.\nAnswer: 368*sqrt(11) + 5883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -49266*u - 20642453. What is t(-419)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*l + 357*l = -16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59.8408 + -0.0592. Round j to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.9 - 2.1. Sort 0.04, h, 0.5.\nAnswer: h, 0.04, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -2. Suppose 5*k - m = 4*k + 12, 2*k - 5*m - 33 = 0. Suppose 3*l + n - k = l, 2*l = n - 1. Is t less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -2\/9, -30\/17, 1, -15 in increasing order.\nAnswer: -15, -30\/17, -2\/9, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3180 or -0.1?\nAnswer: 3180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13798 is divided by 184?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -31*j**3 - 9*j**2 + 53*j + 267. Is 6 a factor of f(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 87 = 422. Let g(r) = 9*r + 323. Let z be g(-29). Let m = c - z. Calculate the remainder when m is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 8:49 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38*i*s**2 + 3*i*s - 224*i + 2*s + 3 wrt s?\nAnswer: -76*i*s + 3*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(19) + 1 - sqrt(19)) + 0 + -1 + sqrt(95)\/(4*(((sqrt(5) - sqrt(180)) + sqrt(5) - sqrt(5)) + sqrt(5))).\nAnswer: 15*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3341\/12 - -1) + (-2)\/(-8). Let w = v - 280. Sort -5, 1, 3, w in descending order.\nAnswer: 3, 1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5 - 1 = 0. Suppose f - 276 = -4*i + m*f, -4*i + 276 = 5*f. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74*n - 74*n + 7 + 2*n**4 with respect to n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -191\/20 and -10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l - 1. Calculate p(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12089 - 12089. Let i = -12 + 53\/4. Which is the nearest to -11? (a) 4\/3 (b) i (c) f (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13805216 and 752?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -486748 less than -486746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-194)\/16 - (-8)\/64. Let k be ((-3)\/x)\/((-2)\/(-24)). What is the derivative of -5 + k*c**3 + 0 + 3*c**3 wrt c?\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -282*p - 153. Is g(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2, 1\/11, 2\/59 in increasing order.\nAnswer: 2\/59, 1\/11, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (640\/24)\/(-16)*-1.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 0*w - 280. Let y = -225\/4 + w. Which is the third biggest value? (a) 3 (b) 0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*h - 17808 - 2229 = 1943 for h.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 1571*j**2\/2 + 1657406*j + 2110 = 0.\nAnswer: -2110, -2\/1571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2753, -1.7 in descending order.\nAnswer: 2\/3, -1.7, -2753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 9:02 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 665.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 10:00 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2336 divided by -306.\nAnswer: -1168\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -80? (a) -0.1 (b) -2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*n + 35 = 0, 0*n + 4*n - 1 = l. Calculate the remainder when 18 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 5*b = -12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1275*u + 1. Let k(w) = -2*w**2 + 3*w - 1. Calculate -k(v) - l(v).\nAnswer: 2*v**2 - 1278*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**2 + 14670*w - 278369 = 0?\nAnswer: 19, 14651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 - 24 + 33*n - 12 - 22 + 8 - 29.\nAnswer: 33*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -72 + 16*v + 72 as s*v + c and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djnrnjdxjroj. What is prob of sequence nroj?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5008\/939)\/((-1)\/(-24)). Solve -149 + v = 7*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.297 - -0.2970294. What is o rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4275891 and 459?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 7:08 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/sqrt(81))\/(sqrt(14)\/(-1*sqrt(2)))*1.\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24815*t**6 - t**3 + 4835*t**2 wrt t?\nAnswer: 2977800*t**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -3) + -2 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 21*a**2 - 288067*a - 150898 = 0.\nAnswer: -11\/21, 13718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2732 + 1730 = 442*f - 3494 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -14. Let t = -3 - n. Solve t = z + 5*i + 9, 5*z = -4*i - 0*i - 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okdojojsrdodoodskksk. Give prob of sequence jkr.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1168 is divided by 98.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*b - 9, 3*x = 4*b + 7*x - 24. Is 9 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 235 and 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 4*f = 12, -2*f - 2 = 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*k*x**4*z**2 - 308*k*x**2*z**3 - k*x*z**3 - 212*k*x + 2*x wrt x?\nAnswer: -60*k*x**2*z**2 - 616*k*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxns when four letters picked without replacement from xmsnmshx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -0.03 (c) -25984\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*f + 36478 = -8342. What is the highest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (19 - (11 + -4))*139.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - -3*(sqrt(119)*-1 + sqrt(119) - sqrt(119)))\/(4*sqrt(700)).\nAnswer: -sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18466*y**5 - 3*y**3 - 1260*y**2 + y - 70 wrt y?\nAnswer: -1107960*y**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 - 8*f**2 + 4*f**2 - 19*f**2.\nAnswer: 3*f**3 - 23*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 25. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 736*o + 7076. Calculate p(-9).\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74886?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 x, and 1 m when three letters picked without replacement from {x: 1, d: 2, v: 2, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/2)\/((-7)\/(-1918)). Suppose -142*h = -s*h + 165000. Round h to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2384221 + 3600141. Let h = 784080 + a. What is h rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -15*h - 2. Let t(p) = p**2. What is l(t(j))?\nAnswer: -15*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -242, -329, -466, -647, -866, -1117, -1394?\n\"Answer: j**3 - 31*j**2 - j - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 13*z + 1. Let g(o) = -11*o - 1. Let d(r) = 6*g(r) + 5*u(r). What is the remainder when ((-1)\/2)\/(2\/(-64)) is divided by d(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21750.1534 + 21750. What is the fourth biggest value in 1, g, 2\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-9) - 277\/(-9). Suppose 11*c = q - 9. Solve -f + 1 = c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1864 + 11060 = 114*u + 874 for u.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 164\/52 + (-4)\/26. What is the third smallest value in -1, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l = -32. Suppose 5*t - j - 10 = 0, -5*j + l = -2*t - 11. Solve 16 = 5*k - 4, -5*n - 32 = -t*k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-958)\/(-1437))\/((-1)\/(78\/4))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -8 - 0 - (-7 - (24 + -18 - 0))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1529472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.093156 rounded to 3 decimal places?\nAnswer: 0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 26*q + 22. List the prime factors of g(23).\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine halves of a day?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 11:06 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 5:20 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 110478107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -207, 38, 4 in ascending order.\nAnswer: -207, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 935361 and 45?\nAnswer: 4676805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-36)\/15 - 69\/(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 20311.\nAnswer: 40622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v - 17. Let o(h) = -3*h**2 + 4*h - 3. Let k be o(2). Let z(d) = d**2 + 20*d + 85. Let w be z(k). Determine s(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*d - 265 + 332*d**2 - 63*d**3 + 0*d - 334*d**2 with respect to d.\nAnswer: -189*d**2 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 181*y**3 - 3*y**2 + 45*y - 311. Let d be h(5). What is the highest common factor of d and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -36034, -144823, -326138, -579979, -906346?\n\"Answer: -36263*k**2 + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-17847)\/6*((-40)\/150)\/(4\/70).\nAnswer: 3, 7, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*f**3 - f**3 + 6*f**3.\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 212643 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: Collect the terms in 820310*f**3 - 2*f**2 + 1 + 2*f**2 - 820309*f**3 - 1.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33.3 + -33. Let j = -41\/4 - -299\/28. What is the smallest value in j, -4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -179*f**2 + 33*f - 54. Calculate x(2).\nAnswer: -704","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 15) to base 16.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b + 21*b = -76. Suppose 27*y = -32*y + b*y. Solve -1 + y = 3*t + v, 2*v + 2 = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -5\/6, -21, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5.11, 0.4, 17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - 110010?\nAnswer: -101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, s: 1, y: 2}. What is prob of picking 2 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 703870 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s - 5. Let k(j) be the second derivative of -j**4\/6 + 17*j. Determine i(k(z)).\nAnswer: -14*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -155 - 76*g**3 + 52*g**3 - 1245*g - 2520*g**2 - 56*g**3.\nAnswer: -5*(g + 31)*(4*g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -3, -1, 57.\nAnswer: -3, -2, -1, 4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*v + 9. Let b be v\/(-10) + (-2)\/10. Solve 5*y = -5 - b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830 is divided by 39?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3399012 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -267*z**2\/7 - 255057*z\/7 - 68760\/7.\nAnswer: -3*(z + 955)*(89*z + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1035 and 7515?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 - 1.1. Let z = -0.7 + d. What is the closest to -2 in z, -3\/7, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175354759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4886 + 4888. Let a be (0 + -1)\/(1\/(-16)). Suppose -3*s = -a - 8. Solve 6*l = d*l + s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/4)*g\/g**(2\/33)*g*g\/(g*g*g**(-6))*g*g*g**(-17)*g assuming g is positive.\nAnswer: g**(-899\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 646\/89 or -162?\nAnswer: 646\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110010120010 (base 3) to base 2.\nAnswer: -10011001010000001000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * -414647\nAnswer: 290252.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/2 greater than or equal to -106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 41*x - 43*x = 98, 5*m - 11*x + 125 = -14*x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1473 + -1473. Let h(d) be the first derivative of -1\/9*d + p*d**2 + 1\/27*d**3 + 22. Solve h(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -1 + 0*i**2 + 0*i**5 + 1\/6*i**6 - 1\/3*i**3 + 0*i**4 + 0*i. What is the third derivative of o(u) wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 5, d: 9}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6453*h + 171. Let z(p) = -3226*p + 98. Determine -4*c(b) + 7*z(b).\nAnswer: 3230*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 111001110011100?\nAnswer: -111001110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 3*s - 100 = 0, -12*s = 9*m - 13*m + 328 - 48 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 35414621?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -363237 greater than or equal to -363237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-945)\/(-175) - (-21)\/35.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1010010210 (base 3) to base 11\nAnswer: 15565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387*b = 378*b. What is the nearest to b in -4\/7, -2, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 74*m + 17. Let b(x) = -25*x - 6. Let c(n) = -6*a(n) - 17*b(n). Let t(g) = 19*g**2 - 4*g**2 + 19*g**2 - 31*g**2. Give c(t(u)).\nAnswer: -57*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3 + 4*h - 5*h - 2*h. Let f(u) = 4*u. Give f(w(r)).\nAnswer: -12*r - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**4\/4 + 8*k**3\/3 - 7*k**2\/2 - 5*k - 18. What is z(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79\/6 or -13?\nAnswer: -79\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*q = -2*q, 12 = 5*x + q. Suppose -3*t - 2*v + 366589 = -572405, t - 313009 = x*v. What is t rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 16*t**2 - 16*t + 2. What is the remainder when 74 is divided by h(17)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u - 40 = -21*u. Let l(z) = 18*z - 57. Let q be l(u). Calculate the greatest common divisor of 231 and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 53 = -18. Suppose c*b = 7*b. Solve b = x - 0 - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1937.2 + 1952.2. Which is the biggest value? (a) 2\/3 (b) p (c) -0.2 (d) -0.5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21900 - 3131. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*q**4 - 252*q**3 + 136*q**2 + 96*q.\nAnswer: 4*q*(q - 12)*(q - 1)*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46 and 202*((-2)\/(-16) - 20\/(-160)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12424866.\nAnswer: 2, 3, 2070811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (43 + -3 + -40 - (0 - 0)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 64780640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*w + j, 1 = -4*w + 5*j - 1. Let t(v) = -10*v**3 - v**2 + v + 2. What is the remainder when 4*w\/(-6) - -27 is divided by t(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3500 - -9450. Round k to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 1\/3*w**4 + 0*w**2 + 4*w + 0 + 0*w**3 - 3\/20*w**5. Find the third derivative of u(m) wrt m.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3 + 3 - 3*z. Let t(k) = 35 - 6*k - 66 - 2*k + 31. Calculate c(t(j)).\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 13*g**2 - 7*g - 30. What is z(-11)?\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -15, -21196, 0 in increasing order.\nAnswer: -21196, -15, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 2:27 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -338, -740, -1312, -2060, -2990?\nAnswer: -4108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**40*p)\/(p**(-5\/2)*p)*(p\/(p*p\/p**8*p))\/p**31 assuming p is positive.\nAnswer: p**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 4, i: 2, k: 1, b: 3, u: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2950108 to the nearest integer?\nAnswer: 1718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-135))\/(-1)*(-6)\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 + 9 + -2 + (15 - 12)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 501947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111101000010101001 - 111011?\nAnswer: -10111101000011100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**3\/2 - 43*u**2 + 102*u. Let f be w(30). Let z(o) = -2*o**2 - 4*o + 4. Let r(t) = t**2 + 5*t - 5. Give f*r(y) + 5*z(y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4756636 or -4756634?\nAnswer: -4756636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**4\/12 - s**3\/6 - s**2 + 44*s - 22. Let t(r) be the first derivative of m(r). Determine t(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 0 + 1\/3*o**4 + 0*o**3 - 1\/120*o**6 + 5*o + 0*o**2 - 1\/120*o**5. Let l(d) be the third derivative of f(d). Calculate l(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7508 + -7505. Which is the nearest to -1? (a) u (b) -65\/6 (c) -3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67544249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.127\nAnswer: 0.381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 34110000 to the nearest 1000000.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016082 rounded to four decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9975039 and 14808.\nAnswer: 79800312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 143 - 11. Suppose 71*g + 396 = 77*g. What is the highest common divisor of l and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1734 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -77, -0.2, -1\/3, 5, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -298*f**2 - 12*f**4 + 11*f**3 - 892*f**2 - 446*f**2 wrt f.\nAnswer: -288*f + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(425) + -2 + 3 + 0 + sqrt(425))**2.\nAnswer: 30*sqrt(17) + 3826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 59*c**6\/120 - c**5\/20 + c**4\/12 - 1180*c**3\/3 - 12*c**2 - 16*c - 5. Find the first derivative of t(q) wrt q.\nAnswer: 177*q**2 - 6*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 5)*(3 + 0 - 4)*(1 + 21*t - 20*t + 3) as a*t + r and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**5\/20 - 5*z**2\/2 + z. Let k(x) = 6*x**3 + 26. Calculate 16*a(g) + 3*k(g).\nAnswer: 2*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(63)*-2 - (-5 + -1 + sqrt(7))).\nAnswer: -12 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 3, 4, 0.02, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p - 5. Let b be -10*1*(-4)\/10. Suppose 6*o + 7 = b*w + o, 3*w + 4*o = 13. What is the units digit of r(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (-36)\/(-19) + 12130767\/1881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -63795.28 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 19. What is the units digit of o(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02 - 0.28. Sort -3, b, -3\/5 in descending order.\nAnswer: b, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*l**2 - 618*l**3 - 11 + 15 + 79*l**2 - 13*l**2.\nAnswer: -618*l**3 + 2*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 149, 5, -0.5, 1 in increasing order.\nAnswer: -0.5, 0.3, 1, 5, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -399 by 10159.\nAnswer: -399\/10159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9919 and 1568619?\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 305 - 576. Let j be 10\/35 + o\/(-7). Let c(g) = 14*g**3 - 2*g**2 - 2*g - 3. Let t be c(3). Calculate the greatest common factor of j and t.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 11 + (2 - -2 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + 44 - 39 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 6*n - 10, 3*k - 122*n = -121*n + 11. Let j(v) be the second derivative of 13\/4*v**3 + 0 + 5*v + 5\/2*v**2 - 1\/6*v**k. Factor j(o).\nAnswer: -(o - 10)*(4*o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(18)\/(sqrt(9) + sqrt(144))).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + i - 3 = -9, -5*i = -2*w - 16. Suppose -a = 4*l + 6, 5 = 3*a - l - 3. Factor d**2 + 15*d + 4*d**2 - w + a.\nAnswer: 5*d*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -141 - -2271602?\nAnswer: 2271451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 - 2*c**3 + 5*c**3 + (3*c - 5*c + 4*c)*(-6*c**2 + 3*c**2 + 5*c**2) + 1 + 2*c**3 - 1 - 2*c**3 - c**3 + 2*c**3.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + r = -12*r - 10*r - 71, -r = -4*b - 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5927690432.\nAnswer: 2, 107, 865609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 101637853 divided by -7141\nAnswer: -14233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m + 28. Let j be v(-19). Let q be ((-8)\/j)\/((-14)\/(-70)). Solve -3*p = 2*r + q, 5*r + 3*p = 2*r - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 1 + -5 + 1. Let d be 2\/4*(16 + s). Let n(i) = 4*i - 3. Is n(d) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125601 (base 9) to base 2.\nAnswer: -10010101000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18544258*g**2 - 27143014?\nAnswer: -37088516*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -6. Let p(n) = -z*n**2 + 0*n**2 + 4*n**2 - 3*n**2. Let i(q) = -7*q. Determine i(p(x)).\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 147*p - 24*p**2 - 147*p + (17*p + 1 - 3 + 0*p)*(-p - 6*p + 3*p).\nAnswer: -92*p**2 + 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 402 and 4?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 20*j. Let w(s) be the second derivative of 4\/3*s**3 - 43*s + 2 + 0*s**2. What is u(w(c))?\nAnswer: 160*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p - 620 = 0. Let b be p\/55 + 1 + -4. Sort b, 2\/7, -5 in descending order.\nAnswer: 2\/7, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16, -110, -260, -460, -704?\n\"Answer: t**3 - 34*t**2 + t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000049902462 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 38*n**2 + 68*n + 1274. Calculate k(-37).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -326077 less than -326051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 823*n - 822*n - 45 = 0, -3*d = 4*n - 50 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iicicipiocjiji. Give prob of picking 1 o and 1 j.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 14*v - 11*v. What are the prime factors of v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113062339 is divided by 103?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d + 628 = 828. Put -38, d, 4 in decreasing order.\nAnswer: d, 4, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -17\/30*l**6 - 5\/4*l**4 + 0 + 0*l**3 + 0*l**2 + 0*l**5 + 24*l. Find the third derivative of h(m) wrt m.\nAnswer: -408*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 105 + -3b9?\nAnswer: -2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (148\/16 + (-5)\/20)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 - 35*f**2 - 19*f - 1. Calculate the lowest common multiple of 72 and q(-17).\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -155600000 to the nearest one million.\nAnswer: -156000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15849, -30670, -45491?\nAnswer: -60312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13969 and 458.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-150)\/168) + 10\/(-25).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 547 = 151. What is the greatest common divisor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 610 and 1037?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 5*h**3\/6 - 103*h - 2. Let a(c) = 18*c. Give a(g(k)).\nAnswer: 90*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**7\/13860 - z**6\/1980 + z**5\/220 - 17*z**4\/12 + 4*z. Let s(j) be the third derivative of r(j). Factor s(d).\nAnswer: -2*(d - 1)*(d + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c. Suppose 0 = 2*u - 5 - 5. Let w(n) = -n**3 + 5*n**2 - 3*n - 1. Let g be w(4). Let y(b) = 2*b + 5*b - g*b. Calculate u*l(s) - 6*y(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -93*g**2 - 1115*g + 8. Let f be s(-12). Let i = -0.83 + 0.13. Sort i, f, -2 in descending order.\nAnswer: i, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 325, 2601, 8777, 20803, 40629, 70205?\nAnswer: 111481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2573431 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + z - 2, 12*l = 7*l + z + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11955, 24740, 37525, 50310, 63095, 75880?\n\"Answer: 12785*h - 830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 517 = a - 16*g, 5*g + 30 = 0. Is 486 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-9)\/(135\/25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 105*g**2 - 9*g - 54. Does 11 divide v(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/94663 - -4639207\/68157360. Find the common denominator of v and -7\/180.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -3. Let f be (-4 + 2 - o) + 5. Find the third derivative of 13 + p**2 - 5*p**2 - 13 + f*p**3 wrt p.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 193600 by -4840.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -3. Let q = x + -17. Let p = 25 + q. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*c + 21. Suppose p - c = 4. Calculate the smallest common multiple of p and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**6\/120 - 143*l**3\/6 + 31*l + 2. Let q(g) be the second derivative of x(g). Let r(f) = 5*f. What is q(r(a))?\nAnswer: -75*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7974500 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((588\/8232)\/(((-6)\/(-21))\/(-2)))\/((-2)\/508)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6422 + 11706. Let b = p + -116295\/22. Find the common denominator of b and ((-2)\/6)\/((-8)\/(-39)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 632 divided by -158.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(2) + -5*(sqrt(2)*1)**2 + (sqrt(200)*-2)**2 + (sqrt(1620)*-2 + sqrt(1620) + sqrt(1620))\/sqrt(10).\nAnswer: 2*sqrt(2) + 790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3969924648?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t - 45. Let q be m(6). Let d be 108\/5 + 9\/q. Calculate the common denominator of (d - 20) + (-42)\/(-16) and -97\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13677?\nAnswer: 3, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.501963986 to two decimal places.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266984873 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2623 + -2626. Let g = 0.2 + -0.26. What is the second smallest value in g, -8, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1953 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 238\/51 + (-24)\/(-18) + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 47455065 divided by 1757595\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11838 take away -4814.9185?\nAnswer: 16652.9185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 3, -2\/5, 3758, -7\/23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244266203?\nAnswer: 244266203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*y**3 + 12*y**2 - 26 + 9*y**2 - 21*y**2 wrt y?\nAnswer: -63*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-10))\/((-20)\/(-50)). Sort g, -1, -6, 0 in decreasing order.\nAnswer: 0, -1, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 27*b - 57*b - 336 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -2\/3, -2\/9, -4\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 - 8*j**2 + 9*j - 15. Let u be p(8). Let i = u - 378. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 59829988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -19*k. Let v(x) = 3*x - 6423. What is v(b(n))?\nAnswer: -57*n - 6423","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -389823\/145 - -2689. Let l be (94\/638)\/1 - (-24)\/(-132). Let u = z - l. Which is the nearest to 2\/5? (a) 0.06 (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/18*(-81)\/(-36)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-5) - (-36)\/30. Let m = l + 0. What are the prime factors of (12\/(-1))\/(m\/(-1))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 849584.61 minutes to weeks.\nAnswer: 84.2841875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1184, -18, -2022, -4828, -8436, -12846?\n\"Answer: -401*u**2 + u + 1584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d**2. Let v be a(1). Let s = 8 - v. Suppose k = -0*k + s*i + 1370, -3*i - 2740 = -2*k. What is k rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4985*h + 29864. What is s(-6)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4229022, 4229024, 4229026?\n\"Answer: 2*x + 4229020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 1. Let x be 12\/16 + (-1)\/(-4). Let z(p) = -p + 1. Let y(r) = x*z(r) + 2*k(r). Determine y(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/10 and 47\/1376.\nAnswer: 6880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 173 + -173.0227. Let u = -0.0928 + 0.032. Let m = l - u. Round m to three dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39017000.14 rounded to the nearest 1000000?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.70642 to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 127 in 5, -0.64, 9, -0.1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2270 and 130273030?\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/7 + 291*n**2\/7 + 1083*n + 31005\/7.\nAnswer: 3*(n + 5)*(n + 39)*(n + 53)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*b - 33. Suppose 4*v + 36 = -5*s, 0 = -3*v + v - 2*s - 16. Let x be (8\/v - -1) + 37. Calculate the greatest common factor of b and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 20 + 16)*(3 - 2 - 3)*(-p + p + 2*p**3)*(239 + 8 - 48)*(-p + 3*p + 0*p).\nAnswer: -85968*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2130011 - 13?\nAnswer: -2130030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76739 and 143.\nAnswer: 844129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1120\/(-60))\/((-18)\/27).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 3:07 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 5. Let z = -0.1 + 0.22. Let o = 4.88 + z. Sort o, -3, l in descending order.\nAnswer: o, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 7 + -4 + 6 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((-2)\/(-2) - 3). Suppose -5*h + 5*o - 75 = 0, j = -4*h - 2*o + o - 45. Let q(n) = -12*n - 5. What is the remainder when q(h) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/390)\/((-29*22\/51040)\/((-6)\/8))?\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -25 - 17 - 24 - 28 + 75 + 2*g. Let b(r) = 17*r**2. Give b(z(d)).\nAnswer: 68*d**2 - 1292*d + 6137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 + 549*n - 5787. What is m(11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509 is divided by 130.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -17*t + 1. Let m(i) = 17*i. Determine 3*m(q) + 2*x(q).\nAnswer: 17*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeeoeeoeprpjppjrpe. What is prob of sequence rjop?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -15. Solve -9 = -3*p, b*c = -c + 5*p - 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 107900 and 2218673.\nAnswer: 2884274900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.6 - -0.4. Put o, -2, -26 in decreasing order.\nAnswer: o, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -158 (base 9) to base 12.\nAnswer: -b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1451576485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 11:51 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-50472)\/(-66) - (-6)\/22. Suppose 0 = -5*f + 5*n + 6525 - i, 2*f - 2308 = n. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 155 - 178.8. Let q = w + 24. Suppose -2*n - 2*n = -4. What is the nearest to -1 in n, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -8*x + 60. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 5*v - 111805, 2*a + 111797 = 16*v - 13*v. What is a rounded to the nearest 1000?\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1183*t - 2*t**2 - 349448 - 736*t + 247*t = 0. Calculate t.\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d2 - 679?\nAnswer: -76b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 0 + 12*k + 0*k**3 + 0*k**2 + 1\/4*k**4. Let n(s) be the second derivative of 5*s**3\/6 - 4*s. What is o(n(l))?\nAnswer: 75*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-180))\/(((-1)\/1)\/3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-5)\/5)\/14?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 4 + 2. Let w = i - -22. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-4)*(-6)\/(-9). Let a = -2 + 2. Let r be 1\/(q - a) + 1. Solve 3 = -r*b + 1, 17 = -4*g + 3*b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**2 + 552096*r = 0?\nAnswer: 0, 138024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*c + 1\/2*c**2 - 1 = 0 for c.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 1 - (-11 + (9 - 3) - 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + i - 2*i)*(2 - 7 + 3)*(2 + 2 - 6) + (12 - 6*i - 12)*(2 - 4 + 4).\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*q + 44 = -54*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*q + 384*q = 131*q + 122*q. Solve -15*o + q*o = 75 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 5*x**2 - 10*x - 7. Let t be 60\/(-8) - (-3)\/2. Is u(t) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251490 minus -204?\nAnswer: 251694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1374 divided by -52.\nAnswer: -687\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 5:51 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -7501.3 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6755284.2*4.\nAnswer: 27021136.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-207.\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/30)\/(8 - (-82)\/(-10))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**2 + 4*o - 1. Let u be z(-5). Let y = -7 + u. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 36*z**2 - 33*z - 141. Determine k(37).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144774 + 28242 = 27*z. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 603 + -528. Suppose q*d = 71*d. Solve 5*z + 4*z = d for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooxiixoxxxxoxxix. Give prob of picking 1 i and 2 o.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -17205 (b) 0 (c) -2\/27 (d) 4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298 - 3*v**2 - 298.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from zzqqjuqqzqzjzqzqj.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6) - 14\/3. Let b = 2 - f. Solve -r = b - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/990*190)\/((-3)\/(-9)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 77 = -23. Let u be 2\/(-9) + l\/(-126). What is the smallest value in u, 1\/2, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -1\/5, 0, -2\/13, -441, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-8505)\/37800*130\/(-3)\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 1. Let v be 0\/(5\/((-10)\/4)). Solve w + 4 + u = v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 27*t**2 - 168*t - 77. Calculate i(12).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5145.8*8\nAnswer: -41166.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17325235\/344 + -50364. What is the common denominator of q and -13\/18?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -76, -4 in ascending order.\nAnswer: -76, -4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(350)\/sqrt(10))\/sqrt(5))**2 + 2.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*q - 23, 189*o - 5 = -q + 188*o. Suppose -3*k - 2*k + 3*m + 76 = 0, 4*m = 4*k - 64. Let n be 3\/(k\/8 + -1). Solve q*b - 3*b = n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0397571 to three decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216853 and 819?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**3 + 41*b**2 + 168*b + 8. What is t(24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 12, 5*v - 114*t + 109*t = 575. What is the remainder when 123 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6705 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: Suppose n - 2*n = -4*z - 2, -5*n = -2*z - 10. Let u = 5 - n. Let d = u + -1. Which is smaller: 0.2 or d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 0. Let v = -98 + 102. Let t = 5.03 + -0.03. Put v, n, t in descending order.\nAnswer: t, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2)*(2*x - 2*x + 2*x) - x + 0 + 0 + (x + 0*x - 2*x)*(2 - 2 + 2) - 5*x - 138 + 138 + x - 5*x + 3*x to h + o*x and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**5 + 16532*p**4 + 582232*p**3 + 5367232*p**2 + 4801536*p = 0. What is p?\nAnswer: -18, -16, -1, 0, 4168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142732 (base 9) to base 5.\nAnswer: 10243342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1476 and 738.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8945 + 4475 + 4468 + 2*k**2.\nAnswer: 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12576 and 70762008.\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24803\/173915 - 6\/24845. Let f be 1\/2 + (-4)\/16. Which is the nearest to 1\/3? (a) f (b) -2 (c) r (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -120? (a) -2\/21 (b) -17 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 22 = 3*b, 2*r - 673 = 4*b - 669 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28582053 is divided by 62.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -447 divided by -2.\nAnswer: 447\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 97988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 4*f - 3. Suppose -3*h = -2*p - 4, -2*h + 4*p = -0*h. Let t be c(h). Differentiate 1 - 2*j**4 - 1 + t with respect to j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38162 - 38162. Which is the nearest to -4? (a) 103 (b) 2\/9 (c) s (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -1\/3*n**3 - 12*n**2 + 0 + 3\/4*n**4 + 0*n. Differentiate b(f) with respect to f.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1192, 2382, 3572?\n\"Answer: 1190*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-6))\/(2\/(-4)). Suppose h*d - 5 = 7. Let m(u) = u**3 - 4*u**2 + 4*u - 2. Let y be m(3). Solve -5 + y = -d*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -24.62.\nAnswer: -2.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -9*y - 609. Let w be k(-68). Suppose 21\/8*p**4 + 0 + 15\/8*p**5 + 0*p - w*p**3 - 3\/2*p**2 = 0. Calculate p.\nAnswer: -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**4\/7 - 441600*p**3\/7 + 2207924*p**2\/7 + 5740656*p\/7 + 441590 = 0.\nAnswer: -1, 7, 220795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 7*p + 6. Let z be s(-5). Let m be (-15 - z) + 5 - -11. Solve -6 + 1 = m*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 12*l**2 + l + 17. Let i be x(-12). Solve -5*f = -25, -i*f + 17 = j - 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/5 - 3348764*n\/5 + 80371488\/5.\nAnswer: -2*(n - 24)*(n + 1674406)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, k: 1, r: 3, j: 5, e: 1}. What is prob of picking 1 e, 2 c, and 1 j?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4372\/293 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3*1\/7 + (-50140)\/(-161).\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1994105 and -0.4.\nAnswer: -1994105.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19513891 and 7729?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, i: 1, x: 1, r: 1, u: 1, f: 1}. What is prob of picking 1 z and 1 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40353?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v - 1. Let z(f) = 10*f**2 + 2*f - 1. Let y be z(1). Let k = y + -16. Let l(j) = 3 - 1 - 1 + 4*j - 2. What is k*t(m) + 3*l(m)?\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 102011221 (base 4) to base 6\nAnswer: 1331001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1763386 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6 + 2 = 0. Suppose v*f = 12 + 12. Let r(s) = -s + 21. Let x be r(-15). What is the greatest common factor of f and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - g + 1 - 2*g + g + 2*g + 0*g - 6*g + 3*g + (g - 6*g + 4*g)*(-3 + 3 + 1) - 10 - 12*g + 11*g + 13 to the form p*g + u and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 47\/9 + 8\/(-36). Suppose s - r*h + 40 = 3*s, -2*h + 4 = 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: Let o(x) = 13*x**2 - 6*x**2 + 10 + 3*x - x**3 + 2*x**3 + 4*x. What is the smallest common multiple of o(-6) and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 - -1*10\/5. Let b(u) = u**3 + 11*u**2 + 4. Let p be b(-11). Put 3, -3, p, n in decreasing order.\nAnswer: p, 3, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -20.00007889. What is x rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 39900 and -1397?\nAnswer: 41297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/31 and 101\/2075508?\nAnswer: 64340748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7260)*2)\/(2*sqrt(3)*5))\/(sqrt(2916) + (sqrt(2916) + sqrt(2916)*4)*-3).\nAnswer: -11*sqrt(5)\/1890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u + 115. Let l be x(23). Let j(g) = g**2 - 2*g + 2. Let o be (-4)\/(-6)*(2 + 1). Let v be j(o). Which is the nearest to l? (a) v (b) -2\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416) + sqrt(416) + sqrt(416) + (-3*sqrt(416) - sqrt(416)) + sqrt(234)*2 + sqrt(234))\/(6*sqrt(1152)*-1).\nAnswer: -5*sqrt(13)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7085 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 521585?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 5 = 0, 0*n + n + 3*q = -6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + sqrt(7)) - (sqrt(7)*-3 + 3))**2 + 5.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*n - 4. Let k = -217247 + 377013. Let h(u) = 0*u**2 + 5*u**2 - k + 159772 + 2*u. Let c(j) = j**2 + 1. What is n*h(l) + 6*c(l)?\nAnswer: l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 500280881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8676 + 8700. Let u = 7 + -1. Let q(x) = x**3 - 5*x**2 - 6*x + 8. Let m be q(u). What is the highest common factor of m and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102)*4 - sqrt(102))\/sqrt(2))\/(sqrt(75)*-4))**2.\nAnswer: 153\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*c - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4624792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2\/6 - 147*l\/2 + 4009\/3 = 0 for l.\nAnswer: 19, 422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 36.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -18. Suppose -2*h = -m*h - 12. Let l(x) = -4*x + 1. Let b(f) = -11*f + 3. Calculate h*b(g) + 8*l(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.6, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 10 + c + 0*c**3 + 3*c**3 - 2*c**3 + 0*c**3. Calculate k(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1375 = -22*s + 1639 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - 30 - 6 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 8*n**2 - 47 + 5 - 147*n**2.\nAnswer: -139*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25758 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3160246.\nAnswer: 2, 23, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**2 - 2*x. Let t be 5\/(50\/176) + 10\/25. Suppose 17*c = -t - 16. Give y(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 374 divide 31807204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**3 + 2*f**3 - 4*f**3 + (2*f**3 + f**3 - f**3)*(0 - 3 + 1) + (0 - 11*f**2 + 0)*(-3*f + 7*f - 7*f) in the form u*f + b*f**2 + k + c*f**3 and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -9*c**2 - 50*c - 16. Let f be p(-5). Solve f*q = 17*q - 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c + 5. Let a(w) = 1877*w - 6 - 3755*w + 1879*w. Determine 4*a(q) + 3*t(q).\nAnswer: -2*q - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*p - 19, p - n - 11 = -4*n. Suppose p*m - 386360 = 113640. What is m rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b6 - 1?\nAnswer: -1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 7*c = 40 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**2 + 27. Let c(d) = 2*d**2 - 26. Determine k(c(s)).\nAnswer: 12*s**4 - 312*s**2 + 2055","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1073608 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-585)\/104) - 1\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*h = 24, 0 = -5*w - 2*h - 2*h + 18. Suppose -2*b + w = -0*b. Solve 0 = s - b*s + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1585 + -497. Let p = 2747 - x. Suppose -8*t + 9245 + p = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-1))\/(0 + -1). Calculate the common denominator of (655\/30 + -17)*(9 + -11) and 11\/10 - (j + 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 - 30*k**3 + 14*k**3 + 7*k**3 to the form i*k**2 + o*k**3 + r + h*k and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2762, 1079, 2, 1 in increasing order.\nAnswer: -2762, -3, 1, 2, 1079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300)*2 - (sqrt(78)*-1)\/sqrt(6).\nAnswer: 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.887914l to millilitres.\nAnswer: 3887.914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 8:41 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**7\/s)\/s**(1\/7))\/((s**1*s)\/(s*((s*s**(-2\/5))\/s)\/s)))\/((s\/((s\/(s\/(s\/s**1)))\/s))**(-24)*s**8\/(s*s**(2\/7))) assuming s is positive.\nAnswer: s**(1601\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r + 78. Let b be l(-30). Suppose -5*p - 5*f + 36 = -159, 4*f = p - 54. What is the highest common divisor of p and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 10*i - 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.67 and 71995.997?\nAnswer: 71996.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 4, -23.\nAnswer: -23, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l. Let t(y) = -2045*y - 2. What is t(n(m))?\nAnswer: 2045*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-27) + (-1078)\/(-9). Suppose -3*x - 2*x + f = 0. Suppose 0 = -4*u - d + 8, -6*u + 2*u - 5*d = -x. What is the closest to -1 in -0.4, 5, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/38)\/((-51)\/(-969))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531 is divided by 266?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 y when three letters picked without replacement from mhzmhzmzddyydhde?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 0. Solve -c - o = -3*p + 6*p, -2*p = -5*c - 18 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -154763015*i**2*y**3 + 7663*i**2 + 1190*i + 2*y**2 wrt y?\nAnswer: -928578090*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 165*o**2 + 11027*o + 19630. What is c(-65)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 + 5*c - 480. Let i(f) = -f**2 - 4*f + 477. Determine 4*i(j) + 3*v(j).\nAnswer: 2*j**2 - j + 468","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**2 - 11*v - 34. Calculate n(-7).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) -1 (c) 2\/9 (d) -15\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -10*u**2 + 16. Let o(k) = 3*k**2 - 5. Let f(t) = -16*o(t) - 5*z(t). Let g(x) = 9*x. What is g(f(h))?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9678 is divided by 4202?\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i - 875 = -827. Let z(a) = -5*a**3 - 4*a**2 - 4*a + 2. Let n(j) = 3*j**3 + 2*j**2 + 2*j - 1. Let o(l) = -7*n(l) - 4*z(l). Give o(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.07, -5, 6, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*d + 0)*(-3 - 3 + 9)*(-22*d - 9 + 9)*((-4 + 0 + 6)*(7 - 3 - 3) + 1 + 3 - 5) to the form l*d + s + k*d**2 and give k.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.75177l?\nAnswer: 2751.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15432587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*o - 0. Let z be ((-3)\/o)\/((-2)\/(-4)). Solve -w - z*b + 1 = -0, w + 2*b = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, o: 2, v: 4}. Give prob of sequence vjvo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**6\/120 - b**5\/12 + b**4\/12 + b**3\/3 + 12*b**2. Let y(h) = h**2. Calculate -k(c) - 5*y(c).\nAnswer: -c**3 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 350\/2213 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ga when two letters picked without replacement from {a: 1, c: 1, w: 1, g: 1, s: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from nnlgltllnn.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 465 - 420. Solve 9*f - n = -0*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44 in 1, -2\/25, -2\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1267 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13951022 to the nearest integer?\nAnswer: 3735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -26 + -32 - -55\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4753 * 7.9.\nAnswer: -37548.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 12:17 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 23*z**2\/2 - 3*z - 132. What is the lowest common multiple of 16 and s(5)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 272939130?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 139752 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u + 408*u - 16973 - 1177 = 297 for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.055 - 0.205. Is k >= 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 4*s + 76, 9 = 3*s - 3. Suppose -h - 3*i + 17 = 0, 4*i - 29 = -5*h + 3*i. Solve -a - 2 = h*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (5 - (6 + -2 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -9. Let u be (-3)\/(-1*n\/15). Is u\/10*(-236)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 50\/(-15)*522*(-18)\/20. Let p = 3215\/2 - y. Find the common denominator of p and -151\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12746 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 14 = -5*l, -7*b + l = -9*b + 5. Solve -5*m + 4*m - 2*n = 7, 2*n + 11 = b*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42063021.\nAnswer: 3, 7, 11, 13, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*b + 54 = 0, 14*c - 18*c + 64 = 2*b. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*0.092\nAnswer: 0.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hiihpiiiliipipiihl. Give prob of sequence li.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(6\/7)\/(x\/x**(3\/5)) assuming x is positive.\nAnswer: x**(16\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 679143097467.7 less than -0.1?\nAnswer: -679143097467.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*z**3 + 21*z**3 - 19*z**3 + (-1 - 2*z**2 + 1)*(2*z - 4*z + 3*z))*(-3 + 2*z + 3).\nAnswer: -110*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4\/4 - 18*s**3 - 381*s**2\/4 + 491*s\/2 - 132 = 0?\nAnswer: -66, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*j**2 + 0*j**2 - 148*j**2.\nAnswer: -199*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209, 410, 643, 926, 1277?\nAnswer: 1714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, s: 3, h: 1, d: 6}. Give prob of picking 1 o and 1 d.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -48?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114271575*d**2*j - 176585683*d*j wrt d?\nAnswer: -228543150*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/412 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 64*a + 228.\nAnswer: -4*(a - 3)*(a + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 1351\nAnswer: -540.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**3\/6 + 9*v**2\/2 - v. Let t be b(-7). Let j(s) = 3 + 8*s + 0 - 7*s - 2 - 2*s + 3. Determine j(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -5. Suppose 0 = i*b - b. Suppose -d - 2*d = b. Solve -k - 3*k + 8 = d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 4*r - 34, g + r - 20 = 4*r. Let v(i) = i**3 + 20*i**2 + 34*i - 24. Let n be v(-18). Let s = g + n. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123\/2 bigger than 562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w - 1. Let r be g(-1). Suppose s = r*s - 2. Let j(b) be the second derivative of b**4\/6 - 10*b. Determine j(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i**3\/3 + 84*i**2 - 704*i\/3 + 80 = 0. What is i?\nAnswer: -15, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, z: 1, b: 3, w: 1, l: 1}. Give prob of sequence rzlw.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*q - 3 + 4, -2*q + 36 = 4*h. Does 7 divide h - (4 - (4 - 0))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30498 by 5.\nAnswer: 30498\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120 + 67. Let g = t + 53. Solve g = -j - 2 - 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 + 1 - -1*(-72)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*y + 108 - 148 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**3 + 24684*w**2 - 24687*w = 0.\nAnswer: -8229, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 26, 33, -1 in descending order.\nAnswer: 33, 26, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-5)*3\/6. Let l be (-2)\/3 - 4\/12. Let s(p) = -22*p**2 + 10*p + 12. Let h be s(0). Which is the smallest value? (a) h (b) l (c) k (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*w = 14, 3*w = 4*b - 0*w - 23. Suppose 1 = b*l - 4, 4*u - 8477 = 3*l. Round u to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25287 - -404355\/16. Let g = o - -2581\/144. Find the common denominator of 16\/9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 752543 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 9321377*b + 55928226.\nAnswer: (b + 6)*(b + 9321371)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39279677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100311 - 143?\nAnswer: 100113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 155 and 4185.\nAnswer: 4185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11331*t**4 - 221*t**2 + t**3 - 11499*t**4 - t**3 wrt t.\nAnswer: -4032*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 0.2 (c) 233 (d) 4 (e) -142.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -30.8, -1.4, 1?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3764 and 9183219?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 127, 6, -97 in descending order.\nAnswer: 127, 7, 6, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 + -145. Let h = 37 + d. Let w = -21 - h. Solve w*p - 4 = -9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rcrrcccccrcccccrcc?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 163 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/15)\/((-51)\/170).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56\/12727 + -1338269\/5345340. Calculate the common denominator of -55\/28 and a.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 12 = 4*h, 3*h - 18 = -3*o. Solve y + 6 = o*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7974 and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*w - 58 = -f, -34 = -2*f + 5*w. Let z = f - 14. Suppose 19 = i - 4*o, -i + 37 = 34*o - 29*o. Calculate the remainder when i is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 321\/6407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -17*o**3\/3 - o + 347. Give c(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3*o**2 - 120*o**2 + 1 - 26*o**2 - 41*o**2 + 177*o**2.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**2 - u**2 + 7*u**2.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/7*g + 20\/7*g**3 + 0 - 16\/7*g**4 + 4*g**2 = 0 for g.\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13 from -249164.6033.\nAnswer: -249151.6033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-9) + (-10)\/(-18). Let t = 0.2 + -0.4. Let r = 0.7 + t. Which is the third smallest value? (a) r (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 - 6*j**2 - 2*j + 0*j to the form d*j + r + t*j**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 7*z - 7\/18*z**4 + 1\/3*z**2 - 2 + 2\/15*z**5 + 2\/9*z**3. Let v(o) be the first derivative of i(o). Factor v(l).\nAnswer: 2*(l - 1)**2*(4*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.868 - -6.868. Which is the nearest to 2\/5? (a) -0.2 (b) 17 (c) -3 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 22*o**2 + 20*o + 4. Determine n(21).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c = 2*t + 8, 0 = -3*t - 5*c - 2. Let h be 1\/3 + (0 - (-1344)\/18). Suppose -t*n = -n - h. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 489\/1924 + -2\/481. Which is the nearest to -1? (a) f (b) 2\/7 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 13*o - 19*o. What is the remainder when o is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*k + 189 = -273 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1972 and 348.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 3 (c) 0.4 (d) 0 (e) -2\/7123\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 - -21. Suppose 0 = 3*o - 6*o + w. What is the least common multiple of 1 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -96, -104, -126, -168, -236, -336, -474?\n\"Answer: -q**3 - q**2 + 2*q - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*n + 17*n + 35. What is the third biggest value in 0.05, 1\/3, n?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -39*m**3 + 2*m**2 - 2*m - 6. Let c be x(-2). Let l = c + -163. Let d = -150 + l. Let v(y) = y**3 - 4*y**2 - 5*y - 2. Calculate v(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3637500*l. Let q be k(-8). What is q rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2277 = -898*h + 1004*h + 1221 for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34122.\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-48)*3*(-6)\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/sqrt(112) - (2 + sqrt(28)).\nAnswer: -7*sqrt(7)\/4 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -798 divided by -42.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4640 + 2636. Suppose z + 9636 = 28*v. Is v a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -216.6 and 0.4.\nAnswer: -86.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 403, 405, 407?\n\"Answer: 2*f + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 119*y - 120*y + 20 - 12 - y**2. Calculate c(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*y**5 + 22*y**5 + 14*y**5 + (2*y - 2*y - y**3)*(-y**2 - 2 + 2) - 2*y**5 + 3*y - 3*y - 11*y**5 + 11*y**5 - 5*y**5.\nAnswer: 8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 - 3*n**2 - 2*n + 10*n**3 - 24*n**3 + n**2 in the form u*n**3 + i*n**2 + s*n + o and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.9999992 - -18. Round t to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 14, 0, 0.2 in increasing order.\nAnswer: 0, 0.2, 3\/8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - k. Let j(f) = 9*f**2 - 1. Calculate 2*i(y) + j(y).\nAnswer: 7*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25029 and 304857.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6*d + 3*m - 102 = 0, 5*m = 3*d - 62. What is the remainder when 107 is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m + 4. Let z(o) = -4*o - 6. Let x(d) = 4*d + 8. Let q(w) = 4*x(w) + 5*z(w). Give 5*q(h) - 3*t(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k + 393. What are the prime factors of m(0)?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31.304 - 0.796. What is the biggest value in q, 1\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 5:59 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Let h(c) = 2*c**3 - 4*c**2 - 2*c + 5. Let d(k) = -k**3 + k**2 + k. Let m(q) = 3*d(q) + h(q). Calculate m(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.146 and -0.02.\nAnswer: -0.00292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 16069.1901.\nAnswer: 16069.1901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(-14) - 29\/(-2). Let b = 5 + -2. Suppose -2 + 44 = b*m. Calculate the highest common divisor of z and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 489\/35 + -102\/7. Let j(z) = -z**3 + 17*z**2 + 796*z - 13535. Let i be j(17). Which is the biggest value? (a) n (b) -17\/21 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 v when four letters picked without replacement from {a: 2, v: 3, x: 10}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*q. Suppose 4*v - 3 = -23, 0 = -4*p - v + 295. Suppose p = -4*j + r + 180, q = 2*r - 6. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 r when four letters picked without replacement from yyyyyrryryr.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -25, 5, 1 in increasing order.\nAnswer: -25, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -300 - -291. Let j be (-6)\/(-27) + (-2)\/9. Let b be ((-30)\/(-20))\/(-1 - j). What is the closest to c in -0.3, b, -2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12020)\/(-30) + (-1)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373582561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 30 = 145*t - 147*t, -3*p = 12 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*d + 6*d - 138 = 23*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15679063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 6 = 4*a. Let o be (a\/(-6))\/((-3)\/(-18)). Solve 3*k = -2*y + 10, -3*y + o*k + 10 + 5 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -67*f**2 + 167*f - 414304 wrt f?\nAnswer: -134*f + 167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**4\/2 + 5*k**3\/2 - 295*k**2\/2 + 555*k\/2 - 135.\nAnswer: 5*(k - 6)*(k - 1)**2*(k + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*m - 5*m. Let z = 7 - m. Suppose -4*j + 5 = 5*k, 4*k + 5*j = -0 - z. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 4 = 14*m + k, -18 = m + 3*k. Suppose 11 = 3*f - 25. Which is the biggest value? (a) m (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 961471, 961469, 961467, 961465, 961463?\nAnswer: 961461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4608627 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1905*y - 23 - 9 = -1907*y, -4*y = -15*l - 139 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k + 3296 = 31*k. What are the prime factors of k?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and (-72)\/48 - 54\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -584.858\nAnswer: -116.9716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 + 30*w - 104. Give l(6).\nAnswer: 508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*z + 106 = -4*y + 5*y + 77*z, -5*z = 6*y - 86 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -54539*m + 163610. Determine z(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -3\/2, -0.5, 1903, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2253153 (base 6) in base 16?\nAnswer: -1c55d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 8:45 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 8 = -w + 5*q, 13 = w - 3*q. Let l(u) = -u**3 - 9*u**2 - 2*u - 14. Let z be l(-9). Is (-1899)\/(-15) + z\/w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -935419, -935415, -935411, -935407, -935403, -935399?\nAnswer: -935395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 549.4837893.\nAnswer: 546.4837893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 3*o**2\/2 - 6092. Let t(g) = 28*g. Suppose w - 2*r = 3*w + 80, -4*r - 125 = 3*w. Determine w*j(i) + 4*t(i).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221 (base 6) to base 8.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 9:17 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -28, 0, 8433 in increasing order.\nAnswer: -28, 0, 3, 8433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 0, 35 in descending order.\nAnswer: 35, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2960792 != 2960668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5\/12 + 5*b**4\/4 + 35*b**3\/12 - 5*b**2\/4 - 3*b = 0 for b.\nAnswer: -12, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1214 = -b - 4*p, -2*p - 313 = -2*b + 2105. List the prime factors of b.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35419.5 rounded to the nearest one thousand?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 351 + u**4 + 188 + 161*u**2 - 130*u**2 + 742*u + 197*u**2 + 26*u**3.\nAnswer: (u + 1)*(u + 7)**2*(u + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.17? (a) -3\/2 (b) -27 (c) -2\/19 (d) -3 (e) 0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(6)\/sqrt(98)) - (sqrt(7) + 1 + 1 - sqrt(56)\/(sqrt(8) - sqrt(72) - sqrt(8))).\nAnswer: -2 + 17*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 192668 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u*u\/(u\/u**(-1\/4))))**49 assuming u is positive.\nAnswer: u**(441\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 325 by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j*j**0))\/j)\/(j\/j**(2\/5)))**(2\/35) assuming j is positive.\nAnswer: j**(-6\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 0) + 1 - -2. Is -7*(-1 - 0\/w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3626340637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 - -49. Let u = s + 51. Let b = 37 - u. Calculate the greatest common factor of b and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4240 divided by 424.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3 = -7. Let b be 6\/(-15) + (-37)\/(-5). Let s be 24\/35 - 2\/b. Which is greater: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 775*g + 10194*g + 8497*g + 184668 + 2092854 = 0 for g.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a + 9. Suppose -3*x + 30 = 3*y - 6*x, -4*y + 3*x + 36 = 0. Determine g(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 1 = -n, 5*n = -935*x + 932*x + 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 8*w**2 + w + 11. Let n be r(-8). Suppose -n*i = -50 - 16. Calculate the highest common divisor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18.9, 2\/3, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -677 divided by -3\nAnswer: 677\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12330 is divided by 4070?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 543 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4204 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 6*a + a + 2*a to q + j*a and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.10269 or 0.5?\nAnswer: -0.10269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5*w**2 + 7 - 8.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = x + 479, 130*x + 2 = 261*x - 130*x + n - 59 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*i - 43*i + 7*i)*(-20 - 9 + 13 - 24) to k*i + h and give k.\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -7*z**3 - 315*z**2 - 68*z - 192. What are the prime factors of y(-47)?\nAnswer: 2, 3, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*1 + (-32)\/(-16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 567*p**2 - 159*p + 5?\nAnswer: 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54814071400.7 - -0.4.\nAnswer: -54814071400.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 7:11 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjju?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68 - 61. What is the lowest common multiple of 1\/((1 + -2)*-1) and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 s, and 1 h when three letters picked without replacement from {d: 3, s: 3, f: 2, h: 5}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (87\/(96309\/(-82)))\/(2\/(-3)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 7:07 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 2*k**2 - 4*k - 2. Let v be j(3). Let c = 11 + v. Calculate the lowest common multiple of c and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4321 and 130822?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 4 (c) -5\/6 (d) -0.95 (e) -0.26 (f) 339\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6))\/((-1)\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3508012*h**5 + 3201499*h**2 wrt h.\nAnswer: 210480720*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 370.4687ng?\nAnswer: 0.0003704687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4049 + -4048.7. Sort 1\/6, z, 0.2, 20 in ascending order.\nAnswer: 1\/6, 0.2, z, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5d1a235 + -1?\nAnswer: -5d1a236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 3*k - 45 + 13 + 22. Let o be s(6). Is (12\/6)\/(o\/613) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1873, -1323, -4521, -7721, -10923, -14127?\nAnswer: -17333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2add + -2?\nAnswer: -2ae0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -24 (b) -16.3 (c) -2.92 (d) -0.2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 14, 3 in ascending order.\nAnswer: 1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + d**2 - d - 3*d**2 - d**3. Suppose 0 = -4*z + 125 + 187. Let h = z - 81. Let t(p) = -p**3 - 2*p**2 - 2*p. What is h*t(c) + 6*k(c)?\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7*x**2 + 3*x - 4. Is o(-5) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72294 - 15073. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 2*j**2 - 2*j + 15. Let b be s(0). Solve 3*r - b = 6*c - 5*c, 0 = -2*c + 3*r - 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (-1 - -2 - 1). Let t(p) = -9*p - 1. Let i be t(-2). Suppose 4*j - i + 0 = -q, -3*j = 2*q - 9. Which is bigger: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54874183?\nAnswer: 7, 13, 603013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*o**4 + 17*o**5 - 9*o**4)*(-4 - 1 + 4).\nAnswer: -17*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20079 = 3225*u - 994*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4201 - 10*l - 3*l - 2010 - 25*l - 2038 to t + i*l and give i.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sggrdkdj. What is prob of picking 2 d, 1 g, and 1 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a - 1 = 0. Let k be (-2)\/5 - (-9)\/10. What is the smallest value in 0.4, a, k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 154?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 30*v**2 + v - 38. What is x(30)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 + 19*s - 15. Let y(v) = 2*v**2 + 21*v - 16. Let l(o) = -6*x(o) + 5*y(o). Let p be l(-5). Sort -3, p, 50 in descending order.\nAnswer: 50, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**4*r + c**4 + 2*c**3*r + 15198*c**3 - 6*c**2*r - 886*c**2 + c*r - 5*c - 3*r wrt c?\nAnswer: 72*c*r + 24*c + 12*r + 91188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2. Let x(n) = -n - 1. Let v(f) = 9*f**2 + 6*f + 6. Let k(j) = -j**2. Let l(h) = -6*k(h) - v(h). Let y(g) = l(g) - 6*x(g). What is d(y(i))?\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -323 and -30286?\nAnswer: 29963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77.252 - -0.748. What is the second smallest value in 2\/9, -0.1, o, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 167, 2, -2, -3 in descending order.\nAnswer: 167, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 2796.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2815*k + 2814*k - 5, -2*k - 9 = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 12:55 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0333 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214635.\nAnswer: 3, 5, 41, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 11*r + 10*r - 23*r. Let i = 3 + -1. Let j(n) = -5*n + n + i*n. Determine t(j(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6883 + 637. Let r be (-2992)\/10 - (-12)\/(-15). Let q be 4\/(36\/(-75))*r*z. What is q rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/5*-2)\/((-264)\/30465600)?\nAnswer: 2, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 26*y + 7. What are the prime factors of f(-18)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10078427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 1186?\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**3 + 168616*i**2 + 1180508*i = 0?\nAnswer: -7, 0, 42161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -41*w**3 + 2*w**2 - 46*w + 40. What is the hundreds digit of f(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37503960 divided by -961640?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1461*b + 1009. What is the hundreds digit of u(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-6)\/(-105)*14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/141 - -62\/47. Let v = 0.11 - 0.15. What is the nearest to -4 in 0.5, v, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 3*s - 11, -48 + 228 = 10*j - 1615*s + 1610*s for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-284)\/(-24) - (-814)\/(-66))\/((-4)\/(-80))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/1)\/(-2 + 4). Let t be 34\/10 + (-1 - l). Which is the biggest value? (a) 0 (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4530390 and 465?\nAnswer: 140442090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*y - 182*y + 3 = 0, 4*q = -2*y + 222. Calculate the remainder when 363 is divided by q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3 = 0, -3*m - 2*s = -6*m - 17. Let v(n) = n**2 + n + 10. Let f(i) = 5*i**2 + i - 1. What is the remainder when f(-5) is divided by v(m)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g + 6. Let d be p(5). Suppose 4*a = 7*a - d. Let f(s) = -s**2 + 5*s + 6. Calculate f(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6707 = -62*i + 860*i + 6863 - 60006 for i.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 11. List the prime factors of (-7)\/a*(-1 + 31).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7529397 and 2298.\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2342.\nAnswer: 2, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, p: 5}. What is prob of sequence mmm?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -950, 245, 1440, 2635, 3830?\n\"Answer: 1195*o - 2145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 15*h**2 - 50*h - 7. Calculate g(-18).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 7*f**5\/60 + 7*f**3\/6 - 2*f**2 - 4*f. Let j(n) be the first derivative of o(n). Differentiate j(k) with respect to k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -d - 2*x - x, -5*x = -5*d + 105. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/13365*-18 + 2\/5.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -2) + 2 + -5. Let v be ((-1)\/b)\/(2\/16). Suppose -3*n = -v*n + 485. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/5)\/(2\/4). Suppose u = o, 246 = 4*a + u - 204. Calculate the common denominator of (-2)\/(-8) + (-134)\/a and 5\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -383026, -766063, -1149108, -1532167, -1915246?\nAnswer: -2298351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214139 is divided by 26764.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -9. Let s(f) = -13*f**2 - 2. Let m be s(g). What is m rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s**4 + 4*s**4 + 9*s**4 + 6*s**4 + s**4 + 4*s**4 - s**4 + 3 - 3 - s + s + 2*s**4 + (-s**4 + 4*s**3 - 4*s**3)*(-1 - 4 + 3) + 5*s**2 + s**4 - 5*s**2.\nAnswer: 34*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**5\/3 - 5987*b**4\/3 + 21*b**3 + 125781*b**2 + 323298*b = 0.\nAnswer: -5987, -6, -3, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, p: 16}. Give prob of picking 2 p and 1 j.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1221864 by 3117.\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*146398.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 9. Let c(s) = -s. Let d be 6\/(-2) + -1 + 3. Let r(q) = d*l(q) + 2*c(q). Let u be r(-8). Solve -6*k = -2*k + 5*w - 21, 5*k = 3*w + u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2. Let c(y) be the first derivative of 29*y**3 + 86. What is c(n(w))?\nAnswer: 348*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -61*y**2 - 785*y - 735. Give m(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08999 times 0.4?\nAnswer: 0.035996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/10 + 13437309\/157530.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95004381 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.034 - -2.426. Let l = -1.54 - w. Which is the fourth biggest value? (a) -2\/13 (b) 0.1 (c) -3 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/(-65)*5\/16.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11120304 a multiple of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2971\/36 + -736\/9. Let p(h) = -h + 8. Let a be p(9). What is the biggest value in v, -1\/4, -4, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(66) - -2*(sqrt(66)*-2 + sqrt(66) - sqrt(66)))\/(-4*sqrt(96) - sqrt(6)) + 4)*-5.\nAnswer: 60*sqrt(11)\/17 + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 279760, 558195, 836628, 1115059?\n\"Answer: -s**2 + 278438*s + 1323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 0 - (9 + -17)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750333 is divided by 2444.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.78855ms in microseconds?\nAnswer: 42788.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -427 divided by -61.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0727830535067 + 39.\nAnswer: 39.0727830535067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -7*a - 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7667925*x**3 + 140*x**2 - 9311?\nAnswer: 46007550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, f: 2, r: 2, u: 6, v: 4}. What is prob of picking 1 f and 1 u?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6*i - 41. Let y be b(9). Suppose 307 = y*q - 226. What is the highest common factor of q and 246?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**3 - p**2 + 3*p - 2. Let g be a(1). Suppose -3*z + 18 = g*z. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 36 = -4*g - 8*i, -3*g - 2*i + 22 = 0. Suppose -7*b = -9*b + g. Let h = -12 - -15. Solve -l - h = -b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}