diff --git "a/data/dm_maths/full_data_2/1837_11255.jsonl" "b/data/dm_maths/full_data_2/1837_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1837_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the units digit of 992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 31*s**2 - s - s + 4*s + 4*s**2.\nAnswer: 35*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -44*-1*(-4)\/16?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -1\/6 (c) -3\/4 (d) 1312 (e) -1\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 7:02 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 26*f**3 - 47*f**2 - 4*f. Give k(3).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -3)*(0 + 12). Suppose 0 = -f + 5*f + c. Is -115*f\/9*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/81, 0.0367, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 8*k - 11. Let t be a(-5). Let f be (-17)\/((-102)\/(-288)) - (-4 + 1). Let z be (-34)\/(-8) - (3 - f\/(-12)). Solve t*s = 3*s - z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*104\/182.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/((-2)\/(-4)*24\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -2*g - u + 21, -6 = -2*g + 2*u for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-298)\/10 - (-1 + (-18)\/(-15)). Let f = i + 43. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -18*r**5\/5 - 69*r**4\/2 + 208*r**3\/3 - 36*r**2 - 6772. Suppose t(j) = 0. What is j?\nAnswer: -9, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 3, 91*w + 6 = -3*g + 87*w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1706595.6831 - 1705828.6831437. Let m = -767.07352 - -0.07352. Let p = m + a. What is p rounded to six decimal places?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001970498 rounded to seven dps?\nAnswer: 0.000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 4*p**2 - 5*p + 1. Let m be w(5). Let o = -4141 - -115947\/28. Which is greater: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78994 + -34463. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -583*p**5 - 3*p**6 + 302*p**5 - 467*p**2 + 310*p**5 wrt p.\nAnswer: -360*p**3 + 1740*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/4 and 22\/161.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 58 = 2*v, 29 = v - 3*t + 4*t. What is the remainder when 172 is divided by v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 - 3*j**2 + 4 + 0*j**2 - 4 + 26 + 24*j**3.\nAnswer: 24*j**3 - 2*j**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -229, -514, -913, -1426, -2053?\nAnswer: -2794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 667553806 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*f = j + 12, 3*j + 2*f = -2. Let n(i) = 4*i**3 + 3*i - 3. Let m(g) = 4*g**3 + 2*g - 2. Determine j*n(b) - 3*m(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 1:58 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -52 (b) 0 (c) -0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 24 - 0. Let c be (-1 - 1)\/(1\/(68\/m)). Calculate the highest common factor of 187 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -68? (a) -2\/41 (b) 0.1 (c) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93 (base 16) to base 10.\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -429*j*o**4 + 81*j*o**3 + 2*j*o - 27*j - 137*o - 1 wrt o.\nAnswer: -5148*j*o**2 + 486*j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*f + 11004, -2*f - m - 3884 - 3457 = 0. Let k be f\/170*(-20)\/3. Calculate the highest common divisor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204922 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**4*x**(3\/5)*(x**(-1\/4)\/x)\/(x\/x**(1\/3)) assuming x is positive.\nAnswer: x**(161\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56753\/4690 + 2\/2345. What is the common denominator of c and -49\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 8:55 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -14*q**2 - 13*q + 13. Determine r(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - 17c?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*f + 15 = 0. Suppose -2*v = -g - 0 - 1, 0 = -f*v + 2*g + 3. Let r = v + 2. Calculate the remainder when r is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10148731 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*t - 12288, 85*k + 3*t - 24576 = 81*k. 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 thousands digit of 15728?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002 (base 3) to base 12.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1177431?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - b + 8. Let j be d(0). Let a(v) = -5218*v**2 + 5219*v**2 - 10*v - 68 + 80. What is a(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 14) in base 12?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 23 + 9. Let z be 0 - (1 + -3 + 1). Suppose 0 = 5*x - a - 23, -a = x - 0*a - z. What is the highest common divisor of o and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*r**4 - 79643*r**3 + 338226*r**2 wrt r.\nAnswer: 168*r - 477858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q**(-36\/7))*q*q*q**8*q*q\/(q\/q**(-6\/25))*q**(1\/2) assuming q is positive.\nAnswer: q**(5741\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -23*p**5\/20 - 13*p**4\/12 - 238*p**3 + 704*p. What is the second derivative of c(f) wrt f?\nAnswer: -138*f - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -20*p**3 - 7*p**2 + 4*p - 1. Let c(n) = n**2 + 3*n + 10. Let x be c(-4). Let j be ((-12)\/x)\/3 - (-78)\/(-21). Is q(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512145559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91 + 108. Suppose 0 = -4*i + y + 3. Find the first derivative of 19*j**4 + 18 + 9 - i wrt j.\nAnswer: 76*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (1 - (-4 + 15 + -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 44161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/(-360)*(-25)\/15.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015280501 to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -22003?\nAnswer: 22007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 - 0.05. Let u = i + -0.3. Let z = -10 + 9.8. Which is the smallest value? (a) 0.3 (b) z (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + -1 + (1*sqrt(143))\/sqrt(11) + -3 + sqrt(3328) + sqrt(117)\/(sqrt(9) + sqrt(27)\/sqrt(3)) + 3)**2.\nAnswer: -49*sqrt(13) + 31217\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v\/(v*v*v*v*(v\/v**(-5))\/v*v*v)*v)*v\/v**2*v*v*v*v*(((((v\/(v\/v**(1\/4)))\/v*v*v*v)\/v)\/v*v)\/v)\/v*v*v*v**0\/v assuming v is positive.\nAnswer: v**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -250110994, -250110995, -250110996?\n\"Answer: -g - 250110993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**4 + 778*d**3 + 776*d**2 = 0?\nAnswer: -388, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 138923 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 1\/120*n**6 + 0*n + 19\/6*n**3 - 4\/15*n**5 - 4*n**2 + 0 - 1\/3*n**4. Is p(18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**2 - 2. Suppose 7*p = 4*p - 3. Let j be s(p). Suppose 4*n + j*g - 90 = 0, -4*n + n + 57 = 5*g. What is the lowest common multiple of n and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-213)\/9 - (-3)\/(-9). Let b be (-102)\/v + (-3)\/(-4). Suppose 2*u - b*u = -93. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15307 - 306079\/20. Find the common denominator of j and ((-11)\/((-528)\/9))\/(63\/204).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16264 or -15804?\nAnswer: -15804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**6\/720 + g**4\/12 + 2*g**2. Let b(n) be the second derivative of c(n). Let f(o) = 3*o**2. Determine f(b(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23158 (base 11) to base 4.\nAnswer: -20022303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3\/7 - 3418*a**2\/7 + 1306000*a\/7 + 440054088 = 0. Calculate a.\nAnswer: -1306, 903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 12 + -12 + (8 - 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25517 + 25529. Let n(l) be the third derivative of 0*l**3 + 1\/120*l**6 - 1\/30*l**5 + 0 + s*l**2 + 0*l - 1\/8*l**4. Solve n(f) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(448)*-2 + 1)*5 + (sqrt(448)*2 + -1)*-5)**2*2.\nAnswer: -6400*sqrt(7) + 358600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 0) + 2 + (1 - -9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1291255?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1975718210 to the power of 1\/3, to the nearest integer?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h - 76 - 268 = -20. Solve 3 = -h*w - 57 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-180)\/378)\/(5\/((-390)\/(-4))). Is -10 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + (2 + -1 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j. Let t be b(-8). Suppose 12 = 4*k - t*k. Let y(v) = 2*v + 4. Give y(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 108?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ytty. Give prob of picking 2 y and 1 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/286 and 101\/1556?\nAnswer: 222508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 574678 and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -334029 divided by 334029.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -81*a**2 + 1053*a - 2919. What is s(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tglc when four letters picked without replacement from {c: 4, j: 8, s: 3, l: 1, g: 2, t: 2}?\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1650 - 1634 = 2*n + 4*r, -20 = -n - 5*r. Suppose 12 = 5*u - u. Suppose -v - u*p + 29 = -8*p, 40 = 5*v - 4*p. Sort n, 1, v, -7 in ascending order.\nAnswer: -7, n, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 48, 95, 140, 183, 224, 263, 300?\n\"Answer: -b**2 + 50*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by (50\/(-30))\/((-10)\/246)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.4, -386812?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/5973653?\nAnswer: 2\/5973653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iimm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 - 87*w\/4.\nAnswer: w*(w - 87)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018032286 to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11133, -11122, -11103, -11076, -11041, -10998?\nAnswer: -10947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/61583 + -1414843\/48219489. What is the common denominator of g and -23\/12?\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * 39047\nAnswer: -31237.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 4*z - 43. Let y be x(-9). Solve -y - 3 = 5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 672.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 - 7*f**2 + 3*f - 25. Let l be w(5). Let s = -46 + l. Solve -s = 5*y - 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51973 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 3*h + 30, 2*m + 18 - 48 = -4*h. Solve -2*i - 2*u - 3 = -1, m*i + 21 = -u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28*7*(-1)\/14.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*w**3*y + 54485*w**3 + 115*w**2*y + 5*w*y - 51*w wrt w?\nAnswer: -24*y + 326910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1120 and 1760?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**12)\/y**15*((y\/(y**(3\/10)*y*y))\/y)\/y*y**9\/y)**(10\/3) assuming y is positive.\nAnswer: y**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 442 = -52*p - 42*p + 2886. Let g(j) = j**2 - 20*j - 194. Give g(p).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47928 and 1413876?\nAnswer: 2827752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 2\/3, -844220, 1\/4 in ascending order.\nAnswer: -844220, -1\/2, 1\/4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.906 - -0.094. Which is the nearest to -4? (a) m (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 5*x + 1. Let l be (-234)\/(-52) - (-1)\/(-2). Let y be c(l). Let s be (1 - 0)\/((-2)\/(-6)). Put s, -1, y in descending order.\nAnswer: y, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 3*p - 6. Let a be 6\/4*(-42)\/9. Let x be f(a). Solve 11 = -4*b - 3*o, 2*b = -0*b + 4*o + x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*t - 101*t = 12122. Is t a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 13. Let n(d) be the first derivative of -o + 1\/3*d**3 - 9\/4*d**2 + 9\/8*d**4 - d. Factor n(t).\nAnswer: (t - 1)*(t + 1)*(9*t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.7595917 months to decades.\nAnswer: 0.0229965975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2699 + 2676. Which is the closest to 3? (a) -3 (b) -1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6*(-114)\/(-10))\/(8\/(-40)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -40*f**2 + 4*f - 4. Let j(g) = 81*g**2 - 7*g + 7. Calculate 4*j(w) + 7*p(w).\nAnswer: 44*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 7022*o - 13*o**2 - 168 - 7022*o as i*o**2 + g + p*o and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 0*j + 3 - j**2 + 2*j - 3*j - 7*j. Determine c(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 4*l + 8, -4*g - 9*l - 4 = -7*l. Is -7\/10 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -771 + 1238. Let n = -8871\/19 + x. Is -1 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0 + 0)*(0*u - 6*u + u)*(u**2 - u**2 - 3*u**2).\nAnswer: 30*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*x**3 + 2*x**3 + 0*x**3)*(5 - 6 - 8) to the form w + c*x + r*x**2 + k*x**3 and give k.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 9:40 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1248 is divided by 155?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (261\/(-2))\/((12\/(-9))\/(1000\/1125)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**4\/12 + v**3\/3 - v**2\/2 - 4*v. Let z be p(2). Calculate the greatest common factor of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 a, and 1 m when three letters picked without replacement from afddhqmaqda?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/5 and -41\/2672?\nAnswer: 13360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3057 - -3063. Let r = 5 - 3. Suppose -i = 4*w - 96, -w - r = -4*i - 26. Calculate the highest common factor of w and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**4\/12 - 35*p**3\/6 + 3*p**2\/2 - 4*p - 20. Let t be r(-35). Solve 0 = l + t - 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -246132 divided by -774.\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/2)\/(2\/4). Let b(g) = -3*g**2 + g - 6. Let h(s) = s**2 + 3. Let f(q) = v*h(q) - 4*b(q). Is f(5) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - -20 - -15 - 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -10 (c) 0.8 (d) -0.5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from {g: 5, o: 5}?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5366)\/(-6) - -5 - (-1)\/(-3) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 13 = -d + 5, 0 = -5*y - 30 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7073 - 4\nAnswer: -7077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2*-1 + (14560\/(-168))\/(-52).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 910\/29 or 32?\nAnswer: 910\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 7*v - 30 = 6, -21 = 5*x - v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 1 + 9 = 2*w, 3*l = 2*w - 8. Suppose l = -3*a - 3 + 6. What is the remainder when 2 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3211 + 234035?\nAnswer: 241250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 59. Let t be p(30). Suppose t*l = 25*l. Solve l = 4*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -10. Find the third derivative of u*v**2 + 0*v**2 - 5*v**2 + 9*v**3 wrt v.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 25*p**2 + 228*p - 5678. Determine m(25).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**2 - 204*m + 5202 = 0.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/3)*w*w*w*w)**(-26))**41 assuming w is positive.\nAnswer: w**(-11726\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**6\/120 - h**5\/60 - h**4\/8 + 5*h**3\/6 + 7*h**2. Let j be u(2). Let r(x) = -x**2 + 0*x - x**3 + 4*x**2 - 2*x. Give r(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 38 - m + 25.\nAnswer: -m + 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2)\/x*x\/((x*x**(-9)*x)\/x))**(-6\/11)\/((x**(-2)\/x)**9*x**(-6)*x**(-3\/5)) assuming x is positive.\nAnswer: x**(1638\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -167308616 and -167308617 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 0 + 3*n**2 - n**3 - 3*n**2 + 5 + 5*n**2. Let p be w(5). Solve 2*d - 28 = -p*k, -3*d + 12 + 0 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001610068 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**7\/2520 + 7*l**6\/720 + l**5\/20 + 2*l**4\/3 + l**3\/6 - 27*l**2. Let f(x) be the second derivative of a(x). Give f(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102\/497 - -27259\/4473. Find the common denominator of u and 11\/3852.\nAnswer: 3852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3441\/74)\/(-93)*(-2)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.79165 smaller than 5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 543738 + 166?\nAnswer: 543904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + u + 1. Let n(b) be the first derivative of 3*b - 1\/3*b**3 + 2*b**2 + u. Determine n(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -192\/5*n - 2\/5*n**3 + 54\/5*n**2 - 512.\nAnswer: -2*(n - 16)**2*(n + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125456339?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 1871152975.374?\nAnswer: 1871152985.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11466653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z\/z**2*z)**(-14)\/((z\/(z**(-2\/15)\/z))\/((((z*z**0)\/z)\/z)\/z)) assuming z is positive.\nAnswer: z**(-692\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10644287 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.0879922?\nAnswer: 0.1759844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 260*q**4 - 3*q**3 - 9*q**2 + 21*q**2 + 3*q**3 + 9*q**2 + 21 - 2*q**3 wrt q?\nAnswer: 6240*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**5\/50 - 411*f**4\/5 + 675684*f**3\/5 - 555412248*f**2\/5 - 617*f. Factor i(v).\nAnswer: 2*(v - 822)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 + 7*n**2 - 3*n - 2. Let r(a) = a**3 - 3*a**2 + a + 1. Suppose 2*q - 4*b = 24, 0*b + 3*b = 3*q - 21. Let l(d) = q*u(d) + 5*r(d). Factor l(m).\nAnswer: (m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 4*t - 7. Let g be ((-12)\/(-10))\/(6\/(-15)). Let v be 2 + g + -2 - 3. Let j be p(v). Solve -5 = j*x - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w - 2*x + 17 = 0, -2*x = -2*w + 8. Suppose -w*u + 6 = 16. Let l be u\/(-1) - (-3 + 2). Solve -l = -4*m + 13 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5002603891 to the nearest integer?\nAnswer: 70729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 618780?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6009*572.\nAnswer: -3437148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n**3 - 13 + 11 + 2*n**2 + 37*n + n**4 + 0*n**3 + 0*n**3 - 3*n**4 to the form u*n**4 + s*n**2 + j*n + i*n**3 + z and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -26069\/2, -2.28?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12756 + 12759. Solve -8 = -4*k + r*g, -6*k - 3*g = -9*k + 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 416, 1588, 3892, 7706, 13408, 21376?\nAnswer: 31988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -582936 divided by -681\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.16, 231, -1\/2?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*277\nAnswer: 27.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.47+31296\nAnswer: 31295.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - m**2 + 3*m + 2. Suppose 0 = -3*l + 6*l - 9. Let n(o) = o**3 + 2 + 2 + 2*o**3 - 98*o**2 + 95*o**2 + 7*o. Give l*n(s) - 7*g(s).\nAnswer: 2*s**3 - 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 6 - -1 - (14 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 167*l**2*r**3 - 2385*l**2*r - 338*r**3 - 1509*r**2 - 5*r with respect to l.\nAnswer: 334*l*r**3 - 4770*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 500 + -418. Suppose -2662 = -2*n - y, z*n - 79*n - y = 3983. What are the prime factors of n?\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - k = -6, -p - 4*k = -2 - 17. Let x = 4 - p. Let j be 6\/x + 2\/(-10). Which is bigger: -2\/15 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 11:54 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.995681 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001873357 rounded to 5 decimal places?\nAnswer: 0.00187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1477456290.\nAnswer: 2, 3, 5, 23, 713747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.4 + 1.6. Let k = s + 4. Let c = 0 - k. What is the third smallest value in 2, c, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z - 2*z - 3*z. Let l(j) be the third derivative of j**4\/24 - j**3\/3 + 62*j**2. Let o be l(8). Let x(m) = -9*m - 2. Determine o*y(g) - x(g).\nAnswer: 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3792197.\nAnswer: 263, 14419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 281914395 to the power of 1\/2, to the nearest integer?\nAnswer: 16790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73 - 52. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6*x - 1. Let r be 1\/(1*(-1)\/1). Let k be w(r). Suppose -o + 28 = 3*m, 4 = k*m - 21. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -12, 19 in ascending order.\nAnswer: -12, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(165\/(-6)))\/(12460\/(-700))?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 8*x - 4. What are the prime factors of g(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 1:15 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1910, 1909, 1908, 1907, 1906, 1905?\n\"Answer: -y + 1911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124 - -866\/7. Which is the fourth biggest value? (a) 1 (b) l (c) 2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -413378 in 2\/7, -1\/3, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -18, 0.\nAnswer: -18, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-13))\/((-27)\/60). Let s = t - -8\/117. Let b = 43\/36 + s. What is the closest to b in 0.5, 0.2, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**3\/3 + 3*h**2\/2 + 2*h + 48. Let l be k(0). Solve 21 = 4*g - a, 5*a = -5*g + l*g + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 13*p - 169 = 24 - 31, p = 7*w - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 5*i - 16, -2*r + 4*i = -5*r + 29 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4759, -4640, -4517, -4390, -4259, -4124, -3985?\n\"Answer: 2*y**2 + 113*y - 4874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116.05 + -116.2. What is the fifth smallest value in 2, r, -4, -0.3, 2\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1555, -1845, -2131, -2413, -2691?\n\"Answer: 2*j**2 - 296*j - 1261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 6*u - 275. Suppose 0 = k - 118 - u. What is k rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2.2. Suppose 9*j - 4*j + 3*m = 842, -5 = 5*m. Let r = 841\/5 - j. What is the smallest value in g, r, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 1666*n**2 - 14*n + 77. List the prime factors of i(4).\nAnswer: 7, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1211 - 12784 = k, -27987 = -4*j - k. What are the prime factors of j?\nAnswer: 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(68) + sqrt(153)*5 - ((sqrt(1377) - (sqrt(1377) + 1))**2*2 - (sqrt(1377) + ((sqrt(1377) + -1)*4)**2)).\nAnswer: -260*sqrt(17) + 22046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by -2 + 1 - 340\/(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, -3, 109731, 5 in ascending order.\nAnswer: -8, -3, 4, 5, 109731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 165037\/13 + -12718. Let u = 23 + y. Is 2\/5 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6\/(-9))\/((-4)\/54)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11156362 rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30\/11*j**3 + 0 + 78\/11*j**2 - 6\/11*j**4 - 42\/11*j.\nAnswer: -6*j*(j - 1)**2*(j + 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3254447.4840327 - -8849326.6140461. Let o = 5594880 - s. Let n = -0.87 + o. What is n rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11311, -11319, -11327?\n\"Answer: -8*a - 11303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 352 + -322 - (1 + 35).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3\/6 - 779*w**2\/6 + 2519*w - 6384 = 0. Calculate w.\nAnswer: -798, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 g, and 1 f when four letters picked without replacement from {g: 1, f: 3, q: 5, c: 1, h: 4}?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 2\/5, 6 in decreasing order.\nAnswer: 6, 2\/5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4*p*p**(-3\/5))\/(p**(-1\/3)\/p**(2\/5))*((p\/p**4)\/((p*p*p\/p**4)\/p))**(-2\/65) assuming p is positive.\nAnswer: p**(1007\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 933.8237 tonnes in grams?\nAnswer: 933823700","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1110 is divided by 127.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4967 and -233?\nAnswer: 4734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -2. Differentiate -2*w + 4*w**p + 1 + 2*w + 2 wrt w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/(-3)*(8295\/(-10))\/(-7) is divided by 81.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 3:06 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12383 and 18864616?\nAnswer: 1769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 171.1 - 171. Let w = 0.7 + 0.3. Sort u, -3, w in descending order.\nAnswer: w, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -16\/8321?\nAnswer: -16\/8321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o**2 + 8*o + 2. Let x be i(-5). Are x and 113 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 7. Let d(g) = g**3 + 5*g**2 + 2*g. What is the remainder when 36\/1 + 10\/h is divided by d(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 163847.2 millilitres?\nAnswer: 163.8472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(32\/34) + (-4)\/2. Which is the closest to -15? (a) j (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -109\/1068356 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 12*c + 1. Let j be u(2). Suppose -2*o - 3*x + 10 = -o, -2*x = -o + j. Suppose -v + 5*v - 5*y - o = 0, -3*v - 4*y = -22. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -77\/4*n**2 + 75\/4*n + 1\/4*n**4 + 19 - 75\/4*n**3 = 0.\nAnswer: -1, 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15503 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -32. Let s = 39 - 13. Calculate the remainder when s is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-1 + 1)) + -7 + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 12 = 0, 0 = 4*g - 5*a - 0*a - 104. Let m = 34 - g. What is the second smallest value in m, -0.18, -1\/5?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18*4*(-150)\/(-48). Let f = j - -340. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2 + 2*u + 0*u + 0*u. Let z = 123 - 128. Let p(q) = 3*q + 3. Determine z*m(w) + 3*p(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3067.114431 - -3067.1. Round s to 4 decimal places.\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*j**2 + 8*j**5 + 10*j**2 + 15 - 10*j**3 - 12*j**2 + 15*j**4 + 5*j - 3*j**5 = 0 for j.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*r + 45 = 0. Do 7 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 23 = -43. Suppose 2*k - 5*l = 152, -7*k + 6*k - 4*l + 63 = 0. Let n = i + k. Calculate the highest common divisor of 10 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*s - 4*b + 8, 0 = -5*b - 15. Let r be 7 + (s + 1)\/(-1). Let g = 24 - r. Solve a + 8 = 2*m, -4*a + 0*m + 4*m - g = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4111 + -102214430?\nAnswer: -102224041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 121572 and 60786?\nAnswer: 121572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23*760\/41515)\/(6\/399).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327054224 divided by 81763556?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 32 - 78)*(z + z - z + (-7*z + 3*z + 2*z)*(1 - 1 + 2)).\nAnswer: 90*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/3)\/((-16)\/(-24))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*r - 41*r - 112 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (260 - 60119\/237) + (-9)\/2?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5481 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -10. Suppose -3*d - 16 = -l, 9 + 8 = -3*d + 2*l. Let u be (-6)\/10 - 1\/d. Which is the biggest value? (a) 5 (b) u (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6578901543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzztttztttzyzzzy. What is prob of sequence zty?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 25 = -6*l, 8*u - 7*u = -4*l + 15 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2)**(-1\/29)\/(j\/(j*j\/(j*j\/j**(2\/9))))**(-1\/8) assuming j is positive.\nAnswer: j**(59\/2088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 + 10*l**2 + 6*l - 18.\nAnswer: 2*(l - 1)*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - 1 - (7 - 0). Let q be (-6)\/21 - m\/14. Suppose q = 6*t - 3*t - 33. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7*o - 1 + 5*o)*(-2*o + 3*o + 2*o)*(2 + 5 - 5).\nAnswer: -12*o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 - 2. Let o be c(0). Let l be (o + 0 + 21)\/(-1). Let a = -14 - l. Calculate the least common multiple of a and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.9 - 13.1. Let q = -8 - v. Let z = q + -5. Which is the nearest to 0.4? (a) -4 (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19733 + -17941. Calculate the smallest common multiple of o and 56.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - u**2 - 12*u - 2. Let x be v(-2). Suppose x*w + 196 = 17*w. Suppose -j + 3*d - 3 = -8, -2*d = 4*j - 34. Solve j = -4*q + w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 950 and 38?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u**2 - 41*u - 7. Let s be r(11). Let a be (s\/(-39))\/((-7)\/((-63)\/(-6))). Which is smaller: 0.57 or a?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/7 (b) -2875 (c) -0.4 (d) 2\/17 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(1 + 1 - 3)*(q**2 + 0*q**2 + 3*q**2).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m - 7*m + 4*m)*(-4*m + 4*m - m + (m - 3*m + m)*(-8 + 1 + 5) + 0*m + 2*m + 0*m).\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, d: 3, a: 3, k: 5}. Give prob of picking 1 d and 2 a.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q**3 - 2*q**2. Let a(y) = -5*y - 9. Let w be a(-1). Let u(l) be the first derivative of 3*l**4\/4 + 2*l**3\/3 - 2. Give w*d(x) - 5*u(x).\nAnswer: x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20221\/64 - 316. Which is bigger: 2 or z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 3*v + 130. Calculate h(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 884236697 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*o - 4988 + 1968, 3*u - 2230 = 2*o. What is the remainder when 1500 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 + 91*y + 120. Determine m(-30).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9609 + 16499. Is j a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2176757.\nAnswer: 11, 197887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -9*u**2 - 6*u - 6. Let v(l) = -l**2 - l - 1. Let h(f) = -s(f) + 6*v(f). Let r(m) = m + 5. Let o(t) = t + 1. Let z(b) = 5*o(b) - r(b). Give h(z(d)).\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 160*(4 - 3) + 2. Let v = -173 + 60. Let u = s + v. Round u to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 63 = -18*g. Suppose -n - l = 4 - 13, -n = g*l - 19. Solve 1 = 3*c + n*b - 0, c = -b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 11*r**3 - r**2 - 8*r + 20. What are the prime factors of x(5)?\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**3 + 0*f**2 + 0*f**2)*(-4*f - 359*f - 142*f).\nAnswer: -2525*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*d + c + 294, 5*c - 417 = 4*d - 439 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 33 + 6 = 0. Let z(t) = 6*t**2 + 35*t + 24. Let w be z(p). Suppose 2*a = -a + w. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/(-14)*(-1036)\/(-592)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 - 55*h + 55*h + 3*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/2)\/(v**(4\/23)*v)*(v**23*v*v)**(-27) assuming v is positive.\nAnswer: v**(-31127\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 26. Let n(x) = -3*x - 2*x - s*x + x. Let z(t) be the second derivative of t**4\/6 - 2*t. Determine n(z(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 47340149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 3*l**2 + l + 2. Let j be o(-3). What is the remainder when -1*5\/j*3 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m + 26. Suppose 5*u - 76 = -2*b - 2*b, 3*u - 3*b = 51. What is d(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*p + 310 = 160*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 177*d**2*m - 15*d**2 + 16*d*m + 2*m + 28 wrt d.\nAnswer: 354*m - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4063.457 microseconds in seconds?\nAnswer: 0.004063457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-192)\/(-432))\/(3\/(54\/20)). What is the second smallest value in d, -4\/3, -0.6, 1\/6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k**4*t**2 + k**4 - 141*t**2 - t wrt k?\nAnswer: -8*k**3*t**2 + 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a8 + 3?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1031.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 5 - 1)*(-1 + 1 - 1) - 1 - 2 + 2 - 10 - 8 + 3)*(n + n - 3*n).\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 1 - ((20 - 26) + -12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2764546625332 minus -2?\nAnswer: -2764546625330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -71 in -16, -114\/7, 7?\nAnswer: -114\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*r + 132*r - 8 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - u**3 - u + (2 + 2*u - 2)*(3*u**2 - 6*u**2 + u**2) + 2*u**3 + u**3 - 2*u**3 - u + 2*u**3 + u - 5*u**3 + 5*u**3 + 7*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34290.\nAnswer: 2, 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*b, u + 2*b = -3*b + 8. Find the first derivative of m**4 - u*m**2 + 1 + 3*m**2 - 4*m**4 wrt m.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 7*d = -66. Suppose -29 - d = -5*w. Is 5 a factor of -3 + w*(6 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29167508 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-46*o + 41*o + o**2 - 3*o**2)*(o**2 + 3*o**2 - 5*o**2) as a*o + u + v*o**4 + i*o**2 + j*o**3 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, z: 2, h: 8}. Give prob of picking 1 l and 3 h.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**3 + 57498*m**2 + 413281248*m + 413223752 = 0.\nAnswer: -14374, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 12*y**2 + 5*y + 54. Calculate j(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1040993 * 1.1.\nAnswer: 1145092.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0 = 23. Solve d = 3*l - 5*a - 8, 0 = 4*l + a - 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 u when four letters picked without replacement from {u: 3, b: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 23.401.\nAnswer: -27.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 + -57. Let n = -1333.2 - -1333. Sort i, n, -1\/3, 1\/2 in ascending order.\nAnswer: -1\/3, n, i, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/164021763 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 15 = 5*w - 7, 2*r + 5*w = 31 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*j = 38*j + 21 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5621969 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 13*j**2 - 19*j + 20. Let o be w(9). Suppose o = 14*i + 47. Calculate the lowest common multiple of 69 and i.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 30 - 13 - 190*f**2 + 609*f**2 + 65.\nAnswer: 419*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25357 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11415)\/3044)\/(-10*3\/(-288))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -880565*k**4 - 686140*k**2?\nAnswer: -21133560*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1023 divided by 14\nAnswer: 1023\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/6)\/((-1)\/(-2)))\/((-130)\/104).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 50, 123, 230?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 equal to 149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30885 is divided by 3078.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g + 46*g = 11*g. Let l = 11 + -5. Solve g = 6*v + 12 + l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755916 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 6:41 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -8. Let z = 5 + -3. Let 4*k + 0*k**3 - 2*k**2 + 2*k**2 - 4*k**3 - p*k**z + 2 = 0. Calculate k.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 4*b + 6, 7*b = 5*b + 8. What is the second smallest value in -8, -5, -0.1, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0034734 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*1*-1 + 241 + -239. Sort 3, 1, -2, f in decreasing order.\nAnswer: 3, 1, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 6, -33, -88, -159, -246, -349?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2329605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -52953, -52955, -52957, -52959, -52961?\n\"Answer: -2*l - 52951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 91 = 2*y, -3*k + 15 = -y + 63. Suppose 0 = -j + n - 4, 6*j - 3*j + 4*n = -y. Is -8 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, 1133, 3812, 9029, 17630, 30461, 48368, 72197?\nAnswer: 102794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -310, 0.2, 0.5, -1\/5 in decreasing order.\nAnswer: 0.5, 0.2, -1\/5, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5)**17 assuming m is positive.\nAnswer: m**85","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/3 of a decade in months?\nAnswer: 2320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*-5*(3 - 2). Suppose -i + g = -3. What is the remainder when 22 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 68 = -3*c. Find the first derivative of -11*t**2 + c*t**2 + 13 - 6 wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10450 (base 6) to base 13\nAnswer: -891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-1))\/1*17\/(-187).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*j*n**2*o - j*n**2 + 4*j*n*o - 2*j*n - 31*j wrt o?\nAnswer: -13*j*n**2 + 4*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 21234?\nAnswer: -21225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m + 25. Let v be y(12). Suppose -2*a = v - 7. Solve -f = a*t - 10, -6*f + 5*f = -4*t + 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((r**(-2\/9)*r)\/r)*r*r)\/r*r\/r**9)**(-1\/34))**(2\/11) assuming r is positive.\nAnswer: r**(52\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -228 + 224. Which is the second smallest value? (a) 2\/119 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476667.3 hours in minutes?\nAnswer: 28600038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, n: 1, w: 3, f: 2, b: 1, h: 1}. What is prob of picking 1 b, 1 z, and 1 h?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11271, 0.4, -5\/4 in increasing order.\nAnswer: -11271, -5\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1945*i**2 - 8*i - 2030*i**2 + 8*i.\nAnswer: -85*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/216*-4)\/(1710\/(-22230))?\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 869265*n**4 - 2559519 with respect to n.\nAnswer: 3477060*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**4 + 5*r**4 - 2*r**4)*(2 - 2*r - 2) + (-r**2 + 0*r**2 + 0*r**2)*(-3*r**3 - 3*r**3 + 2*r**3).\nAnswer: 2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -7*j**7\/50 - 161*j**6\/100 - 613*j**5\/100 - 69*j**4\/10 - 18*j**3\/5 + 45*j**2. Find f such that g(f) = 0.\nAnswer: -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2716 + 2786 = -14*q. Let h(i) = 4*i**2 - 5*i + 4. Let c = -7 - -1. Let n(v) = -3*v**2 + 4*v - 3. Give c*n(t) + q*h(t).\nAnswer: -2*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 2\/13 (c) -3 (d) 3 (e) 1.248 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -257.65 - -258. Sort 2\/9, 0.2, y.\nAnswer: 0.2, 2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1093430*p**5 + p**3 + p**2 - 7563158*p?\nAnswer: 21868600*p**3 + 6*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 288, 566, 846, 1128?\n\"Answer: w**2 + 275*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 324 - 28. Let m = o + -3850\/13. Let a = 0.9 + -0.6. What is the closest to 1\/4 in a, -4, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/348764 and -83\/10.\nAnswer: 1743820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79.7 + 79.8. What is the third biggest value in i, 4, 344?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a micrometer in nanometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -256, 1, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, j: 4, h: 1, i: 1, g: 1, e: 1}. What is prob of sequence hx?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 3*j - 3. Let w(s) = -s - 17. Let k be -2*(0 + (-85)\/(-10)). Let o be w(k). Suppose 9 = 3*g + 4*z, 5*g - 5*z = -o*g + 15. Give v(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, t: 5, h: 2, b: 7}. What is prob of picking 2 h?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5461781?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 192 divided by -2\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7.459 * -26085\nAnswer: -194568.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 21578660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3183750 and 116030.\nAnswer: 2830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -43 times 610\nAnswer: -26230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*-1)**2*-1.\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2188.2946*-2\nAnswer: -4376.5892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -9, -35, -93, -195, -353?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + (-896)\/70)*(-30)\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**7\/840 + a**4\/8 + a**3\/2 + 3*a**2. Let b(w) be the first derivative of j(w). Differentiate b(x) with respect to x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 15*a**2 - 2*a + 29. Let w be t(15). Let g(k) = 17*k**2 - k + 19*k**2 + 2*k**2 + 1. What is the units digit of g(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 + 168*i**2 + 2*i + 210. Let b be o(-84). Solve 7*u - b + 7 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 16 = f, 3*f - 4*q - 4387 - 4389 + 8748 = -0*q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3557*d + 43199. Determine y(-12).\nAnswer: 515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.708090438 to five dps.\nAnswer: 0.70809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123455 (base 11) to base 7.\nAnswer: 1441064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 9*y**3 + y**2 + y - 11. Let j(x) = -4*x - 5*x**3 + 6 + 3*x + 8*x**2 - 9*x**2. Let a(l) = -7*j(l) - 4*k(l). Give a(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154980 and 14760?\nAnswer: 309960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l. Let u be -2 + 0 - (-11 - -1). Let d = u + -6. Let i(p) = p - d*p - 2*p + 2*p. Give i(j(v)).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -10*k - 36. Let x be l(-4). Suppose -x*f = -v - f + 409, -5*v - f = -2077. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 - 13. Let r = -64.51 - z. What is r rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**2\/7 + 688*u\/7 - 18348\/7 = 0.\nAnswer: 33, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + n = 2, -5*n + 8 = -4*w - 0*n. Let g(f) = -2*f - 9. Let t be g(-6). Let q be 2*(t\/(-2) - -1). Which is smaller: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 62*p - 1608. Let l be b(26). Let r(j) = 41*j**2 + 5*j. Let s(v) = 42*v**2 + 4*v. Calculate l*r(g) - 5*s(g).\nAnswer: -46*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7444*z**5\/9 + 12878*z**4 + 181762*z**3\/9 - 9538*z**2\/9 - 21178*z\/3 + 4420\/9 = 0. Calculate z.\nAnswer: -1, 130\/1861, 1\/2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a micrometer in nanometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.449572ng to grams.\nAnswer: 0.000000009449572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-20) + (-104)\/(-160)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**5\/20 - 2*d**4\/3 + 2*d**3\/3 - 6*d**2 - 2*d. Let j be y(-9). Let i = j - 13. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 8*f + f)*(3*f**2 - 5*f**2 - 4*f**2) - 3*f**3 + 3*f**3 + 4*f**3.\nAnswer: -44*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1329*f + 1. Suppose a - u = 3, 0 = 2*a + 2*a + 5*u + 24. Let m be (3\/9)\/(a\/3). Let x be y(m). What is x rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 0.11, -2\/5, -0.02, 0.3 in descending order.\nAnswer: 2\/3, 0.3, 0.11, -0.02, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -22. What is the greatest common factor of b and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cceeocecc. Give prob of sequence oe.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 158 = -3*c + 133, 4*o = -20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 - 43. What is the remainder when 31 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 586 = 2*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 3:27 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-66)\/66)\/(7 + (19440\/(-927))\/3))\/1.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2146 - 0?\nAnswer: 2146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264*l - 269*l = -10. Find the third derivative of 0*z**3 + 35*z**4 - 2*z**3 + z**2 + 7*z**2 + 2*z**l wrt z.\nAnswer: 840*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -3*r**2 + 0*r + 11\/3*r**3 - 6. Find the second derivative of c(f) wrt f.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 3)\/(-4) - -2. Let y(o) = o + 4. Let u be y(-7). Put 1, m, u in decreasing order.\nAnswer: m, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 16*o + 22. Calculate the remainder when 153 is divided by i(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 5*v - 295. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 1)*(-t**3 + 0 + 0) + (-24 + 53 + 140 + 7)*(2*t**3 + t**3 - t**3) as n*t**2 + c*t + h + g*t**3 and give g.\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwv when three letters picked without replacement from {u: 1, w: 1, f: 2, v: 1, c: 1, m: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1080 + 426 - 839 - 1500)*(3*u - 5*u + u).\nAnswer: 2993*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8984478227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17383208?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 70751593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 4*r + 31 = 22, -3*j - 5*r = -8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3\/2 - 495*p**2\/2 - 738*p = 0 for p.\nAnswer: -492, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/8)\/((-137)\/(-1027500)). Calculate the greatest common divisor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17737 = -10*t - 2093. Let a = t + 3209. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 45, 23.1, -757?\nAnswer: -757","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 460 and 720245.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 104552 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26281 - -26284. Which is the biggest value? (a) -1.02 (b) 1 (c) z (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1224100032 (base 5) to base 4.\nAnswer: 23101233223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 225 - -2062?\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/7 greater than or equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -1640?\nAnswer: 1640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 4*l**2 - 5*l + 2. Let r be m(-5). Solve -r*x - 2*x = 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*u - f, 3*u + 2*f + 2 = 3. Solve u = -4*q - 17 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 6*f**2 + 6*f - 8. Let c be q(-6). Let o be (2\/3)\/(c\/(-12)). Let t be 1\/(0\/1 - 1). Which is bigger: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 7. Suppose 0 = -3*p + 3*t + 52 - 10, -70 = -5*p - 3*t. Let l(i) = -3. What is p*l(w) + 6*r(w)?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 2*b = 3*r + 210, -150 = -3*r + 3*b. Differentiate 0 + 53 - 32 + 23 - 285*x**3 + r with respect to x.\nAnswer: -855*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1557947, -3115862, -4673777?\nAnswer: -6231692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (731\/102 - 8)\/(98\/(-126) + (-1)\/3). Solve -9\/2*n - 21\/4*n**2 - l*n**3 + 0 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - 542329068890225 + 542329068890225.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196\/(-21)*11\/77.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 8*b + 7. Let x be c(9). Let w be 2\/x*-2 - 0. Let o = -0.1 + 0.1. What is the nearest to o in 0.3, -0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 80*h + 52. Give x(81).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*g + 973*g + 192*g + 296 = 4613 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89 + 3*u**2 + 54 + 45 + (2*u - 3*u - u)*(3*u - 4*u + 2*u) to the form k + d*u + r*u**2 and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 10*f**3 - 86*f**2 + 110*f - 34. Let l(d) = -2*d**3 + 17*d**2 - 22*d + 7. Let u(y) = -16*l(y) - 3*r(y). Factor u(w).\nAnswer: 2*(w - 5)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -115*a**2\/2 - 27*a - 120. What are the prime factors of i(-3)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-12 + (9 - 8))) + 17 + -5 - -12?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 0 - 1*8. Let w be ((-8)\/q)\/((-2)\/(-15)). What is the first derivative of -7*t**2 + w*t**2 - 2 + 1 wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1377) + -3 + sqrt(1377) + 4)*5 + 2.\nAnswer: 8 + 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, f: 1, n: 3, w: 2, t: 1}. What is prob of sequence yny?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -93, -3, 3, -4, -2, -23 in descending order.\nAnswer: 4, 3, -2, -3, -4, -23, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-7)*(-1050)\/225. Solve a + 15 = -4*a, -4 = -4*z + k*a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 + -6)*1*9. Suppose -2*x = x - u. Suppose 5*d - 422 = 3*k, -2*d + k + 172 = x*k. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 3*p = -12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 4*j = -8149 + 8190, -j - 37 = 4*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*s**4 - 58621041*s**3 - 2763777*s**2 + 10*s - 2.\nAnswer: 72*s - 351726246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -15.837*-1.96\nAnswer: 31.04052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4280609 to the nearest integer?\nAnswer: 2069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4235 - 4185 = 0 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 39 = 6*y, 94*y - 6*f - 50 = 89*y - f for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t**2 + 4. Let k(j) = 11*j**2 + 7. Let z(n) = -7*h(n) + 4*k(n). Let c(g) = 989*g. Calculate z(c(f)).\nAnswer: 1956242*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 20009*q - 20202*q + 5)*(1 - 6 - 1).\nAnswer: 1158*q - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -12. Suppose a = v - 10. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9361337 - 9361336.904998775. Let u = 0.495 + -0.4. Let k = s - u. Round k to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/4))**29*(z**4\/z)\/(z**6\/z))**(-2\/37) assuming z is positive.\nAnswer: z**(-21\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**3 - 37*u**2 + 111*u + 3. Determine w(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*m - 111 + 321 = -303. What is the nearest to -0.2 in 2\/27, -0.5, m, 8?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*b**2 - 599249*b + 8322376?\nAnswer: 24*b - 599249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 5*m - 7, 31*q - 3*m - 18 = 26*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = l + 16, -4*v - 4*l - 1 = -9. Let p = -2 + v. What are the prime factors of 59\/5 + p\/20?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -406*p**2 - 393*p**2 + 805*p**2 + 3*p to j + q*p**2 + b*p and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2538630980 to the nearest one hundred thousand.\nAnswer: 2538600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 244*c*r**2 - c*r - 930*c + 2*r**2 wrt r?\nAnswer: 488*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from {w: 4, m: 6, y: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1756436298?\nAnswer: 2, 3, 292739383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 5:14 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -369178 (base 10) to base 9.\nAnswer: -622367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(132) + sqrt(132) + sqrt(132)*1*4)\/(5*sqrt(1728)*-6).\nAnswer: 7*sqrt(11)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -59*n + 2720. What is the remainder when 1120 is divided by q(46)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/4809665 and 51\/14035.\nAnswer: 1928675665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**4 + c**3 - c**2 + 1. Let g(x) = 7*x**5 - 5*x**4 - 5*x**3 + 6*x**2 - 5. Let u(w) = -g(w) - 5*q(w). What is the third derivative of u(a) wrt a?\nAnswer: -420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*i**5 + 660*i**2 - 214908*i wrt i.\nAnswer: -200*i**3 + 1320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129875*l**2 + 129875*l**2 + 1 - 27*l + 11*l**3 to the form s*l**3 + m + d*l + u*l**2 and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-27)\/6*4\/(-3) and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21, -21, -19, -15, -9, -1, 9?\n\"Answer: c**2 - 3*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -16*h. Let j(o) = -o + 552475. Determine u(j(i)).\nAnswer: 16*i - 8839600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - t - 2 - 2 - 3*t. Calculate m(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -441637 and -45488568\/103 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -34*r**2 + 18*r - 48. Give w(3).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**4\/2 + r**3\/3 + r**2\/2 - 10. What is d(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -1861*t**2. Let o(g) = 6640*g. Calculate o(q(v)).\nAnswer: -12357040*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 + 53*r - 35 + 63 to the form m + x*r and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/(-36) - (-1720)\/36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2. Let k(y) = 25885571*y. Calculate k(i(j)).\nAnswer: 25885571*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1253 is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11559440 greater than or equal to 11559440?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6540.11 less than 401.09?\nAnswer: -6139.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -126 - 31?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**5\/15 + 158*p**4\/3 + 49928*p**3\/3 + 202*p**2. Let z(h) = 0. Calculate h.\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 95.11971 centimeters?\nAnswer: 951197.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-8))\/5*(-3)\/9.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.059 + 0.941. What is the closest to 0.1 in r, 2\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 6) to base 10\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -105.4 and 16115?\nAnswer: 16220.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 9*g = 0. Suppose 4*k + 4*y - 48 = -g*k, -2*k - 5*y = -24. Let n = -16 + k. Sort n, 3, -1 in decreasing order.\nAnswer: 3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21501, 21476, 21449, 21420, 21389?\nAnswer: 21356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(85)*1*-5 - (sqrt(85) + 2*sqrt(85)*4)))\/(6*1*sqrt(500)*-4) + -3.\nAnswer: -3 + 7*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -11. Let v = p - 10. Which is the biggest value? (a) -3 (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*q - 41 = 0, -5*s - 35*q + 40*q = -45. Solve -n + 3 = -2*o, o - 1 = s*n - 6*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a - 13. Let q(k) = -4*k**2. Determine u(q(w)).\nAnswer: -8*w**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 479967529 to the power of 1\/2, to the nearest integer?\nAnswer: 21908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18493 - 18492.6. Which is the smallest value? (a) -1 (b) 3.419 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 14 + 5 = 0. Suppose 0 = -i*f + 1031 - 278. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163c (base 13) in base 14?\nAnswer: -1290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -460*m = -471*m + 33. Solve 2*w + 5*r = -2*w - 13, 4*w + m*r = -11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(66) - sqrt(66))*4 - sqrt(66) - 6*sqrt(66)*1)\/(sqrt(486) + (sqrt(486) + 3*sqrt(486) - sqrt(486))).\nAnswer: -19*sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert b6 (base 16) to base 3.\nAnswer: 20202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 2*c. Let p be h(1). Let o = -9 - -12. Sort o, p, -8.\nAnswer: -8, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8997\/(-6)*4\/(-288). Let j = 277\/18 - i. Find the common denominator of j and -73\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -894004118 rounded to the nearest 100000?\nAnswer: -894000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -37626*a + 13. Let p be t(-1). Suppose 6741 = -7*h + p. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11002601, 11002599, 11002597, 11002595, 11002593, 11002591?\n\"Answer: -2*n + 11002603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49628 + -7382. What is the ten thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -66, 0, 49 in decreasing order.\nAnswer: 49, 0, -0.1, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(5\/((-100)\/(-30))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 20 - 8)*(b - 4*b - 2*b)*(-5 + 4 + 4) as n*b + z and give n.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -4. Suppose m - 2 + r = 0, -y = 4*m + 2. Suppose h - 70 = -y*d - d, 0 = -5*d - 5*h + 120. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 - 24 = 3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 0*j**2 - 5\/12*j**4 + 1\/20*j**5 - 5 - 7*j + 1\/6*j**3. Let a(g) be the first derivative of u(g). What is a(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 119? (a) -5 (b) -46 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 17\/2*d**2 - 15\/2 - 19*d.\nAnswer: -(d + 3)*(d + 5)*(2*d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2. Let d(y) = -47*y - 52*y + 97*y. Give t(d(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-198)\/429)\/(-1*(-2)\/(-13)). What is the nearest to 0 in -6\/19, 1, -0.5, b?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 39*c + 182. Let i be x(-5). Solve -i*o - 24 = 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 571800 divided by -15.\nAnswer: -38120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u + 43*u - 126 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 15.7, -4, 4\/7 in descending order.\nAnswer: 15.7, 4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_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 the tens digit of 226181824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1122*b - 1 + 1 + 148*b - 331*b to the form w + v*b and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 2*w**2 + w - 1. Let o(b) = -86*b**3 - 4*b**2 - 2*b + 33. Let v(p) = 2*c(p) + o(p). Differentiate v(x) wrt x.\nAnswer: -252*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 20 - 12*h)*(7 - 6 + 6)*(-2*h - 3*h + 3*h).\nAnswer: 168*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -12*g + 8. Solve 2*l - 4 = v, -g*l - 5*v + 10*v = -12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-24))\/((-18)\/(-6)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.1 - 6.1. What is the second biggest value in -1\/9, -1\/6, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09 - 0.304.\nAnswer: -0.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 550951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 6*p - 5*c + 8, -5*c = p - 26. What is the third derivative of 3 - 304*b**3 - 15*b**p - 21*b**2 + 304*b**3 wrt b?\nAnswer: -1800*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 20 = -g. Let q be ((-12)\/(-10))\/(g\/(-30)). Solve -2*a + 1 = -5*o - q, 2*o - 10 = -2*a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71568 is divided by 318?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/24)\/((-7)\/((-182)\/(-13)))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1344.7 + 1483. What is b rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -811.234 from 67955937.\nAnswer: 67956748.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 277*o - 334 + 12*o**2 + 186 + 148 + 2*o**4 to the form s*o**2 + z + l*o**3 + j*o + u*o**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.01 and 59060.\nAnswer: 59060.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 + -80 + (35 - 71).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) -5 (c) -0.1 (d) -1 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x - x + 5059089 - 5059089.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -569b47 (base 13) to base 12.\nAnswer: -82a096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (348\/145)\/(((-41)\/10 - 1) + 5).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -1\/20*j**5 + 0 + 0*j**4 + j**2 - 2*j + 0*j**3. Find the first derivative of l(k) wrt k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15392 and 124616.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1320509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 118537*k + 3. Let y(c) = -11*c. Calculate b(y(n)).\nAnswer: -1303907*n + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 254454532 (base 6) in base 11?\nAnswer: 28a4767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-3))\/(13\/858). Let d = v - -156. Suppose 5*j = -2*r, 4*j - 5*r + 13 = d. Solve 4*a + 0 + 3 = f, 0 = j*a + 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*m + 3359 = 0, -4*b - 2*m = m - 2671. List the prime factors of b\/6 + 4\/(-6).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.37281 to 1 decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 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: Is 924179 a multiple of 383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**3 - 30*j**2 - 105*j - 58. Let h be q(14). Solve 82*z + h = 250 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - 67) + (11 - (4 - 1)) + 48 + -48.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.185336 centuries to millennia.\nAnswer: 0.9185336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((-1)\/(2 - 4)). Suppose 16 - y = -3*t. Sort t, 1\/7, 2\/5 in ascending order.\nAnswer: t, 1\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/4*(-4)\/10. Let z(u) = -u - 7. Let l be z(-22). Suppose -54 = -21*g + l*g. Solve -r*a + j - 6 = g, -4*a = 2*j + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*j - 180 = -96*j. Solve -j*f = 2*i - 3, -3*i = -4*f + 9*f - 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23772, 23748, 23716, 23682, 23652, 23632, 23628?\nAnswer: 23646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4))**(6\/7) assuming h is positive.\nAnswer: h**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 - (38 - 40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 248167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-556)\/(-180))\/(5 - (-612)\/(-120))\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j*j**(6\/11))\/j*j)\/j)\/j)\/(j\/(j\/((j*j\/j**19)\/j))))**(-50) assuming j is positive.\nAnswer: j**(-9650\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 138*i + 41 = -142*i, -5*u = -8*i - 229. Solve -44*x - u = -37*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/30961 and 167\/294.\nAnswer: 1300362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 8 = -19*f, -463*f + t + 4 = -458*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 + 1.2. What is the second biggest value in 6\/5, c, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 3*n + 3. Let l be k(-2). Let w(y) = 8 + 4*y**2 - l*y**2 + y - 7*y. Does 3 divide w(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4635792 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 46 = -158. Let q = -239269\/7362 - -2\/3681. Let z = g + q. Which is the third biggest value? (a) -5 (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - p**2 + (-p + 0 + 0)*(-2 + 2*p + 2) - 4*p**2 + 2*p**2 + 3*p**2)*(0 - 1 + 3)*(-1 - p + 1).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 34*j**3\/3 - 129. Suppose -10*l + 24 = -4*l. Let z(s) = s**2 + l*s**2 - 3*s**2. Determine b(z(o)).\nAnswer: 136*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -86.4054127.\nAnswer: -54.4054127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 25.3215\nAnswer: 5.0643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/160 and 20860\/7200 + 8\/(-36)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 a, and 1 c when three letters picked without replacement from {w: 4, a: 8, c: 1, o: 1, h: 1}?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -62*s**3 - 13*s**2 + 15*s + 46. Let t(q) = -31*q**3 - 6*q**2 + 7*q + 22. Calculate -6*o(j) + 13*t(j).\nAnswer: -31*j**3 + j + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.3, -0.09, -1\/6, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -6.44, 2\/7, -6\/7, -4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -0.2224?\nAnswer: -0.02224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 23801661?\nAnswer: 23801664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13921, 13747, 13449, 13021, 12457, 11751, 10897, 9889?\nAnswer: 8721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-68))\/(1\/4*-2).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 66\/(3 + -5 - 32\/(-14)). Let o = 244 - m. Solve -3*c = -5*k - 6*c - o, 4*k + 11 = -3*c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101196+-3\nAnswer: -101199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by -7938210\nAnswer: -11\/1323035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l**3 - 17*l**2 - 63*l - 44. What are the prime factors of u(21)?\nAnswer: 2, 19, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1680*a**2 - 27\/4*a**5 - 1143\/4*a**4 - 1032*a - 228 - 1155*a**3 = 0. Calculate a.\nAnswer: -38, -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17554 at most as big as -17551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 3, -0.1, 23, 45, -0.04 in decreasing order.\nAnswer: 45, 23, 3, -0.04, -0.1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-11))**38)**(-20) assuming f is positive.\nAnswer: f**(-9120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2594 - -2599. Let w(z) = 4*z**3 + 5*z**2 - 11*z + 6. Let t(i) = -4*i**3 - 4*i**2 + 10*i - 5. Determine g*w(k) + 6*t(k).\nAnswer: -4*k**3 + k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/9 + 11\/(-9). What is the units digit of (-1)\/((-1104)\/1101 - x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 5461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 3 = -3*s. Let c(m) = 2*m**3 + 0*m + 4*m**2 - 71 - m**3 - 6*m + 68. What are the prime factors of c(s)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 367345999 and 458?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - 350\/(-20))\/(-25).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -12.7243, 0.2 in decreasing order.\nAnswer: 0.2, -3\/8, -12.7243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.2 in -0.2, 0.4, 0, 0.01?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*7 + (-5 - (15 - 32)). Suppose c - 15 = -4*c. Suppose 5*q = c*q - 6. Sort q, v, -2 in increasing order.\nAnswer: q, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - sqrt(70)*2)*6)\/sqrt(10)*-2.\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2414186393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4286161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5607.3 * -595.\nAnswer: -3336343.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 7. Let o be g(15). Let b be (-3)\/(-4)*8\/o. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -33*t. Let k(b) be the second derivative of -b**5\/120 + 4*b**3\/3 - 3*b**2\/2 + 24*b. Let n(f) be the second derivative of k(f). Calculate n(m(j)).\nAnswer: 33*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 915 and (4 - 6) + (6 - -4)?\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 3*w + 2. Let s be r(4). Let o(c) = 0 - 13 - 2*c + 4 - 3 + 9. Give o(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 3*t + 4*f + 11, -5*t + 1540*f = 1541*f + 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 676824 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 - 141*b**2 + 2490*b - 4392.\nAnswer: -3*(b - 12)*(b - 2)*(b + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3570001 - 249?\nAnswer: 3569752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/3 - 72*d**2 - 848*d\/3.\nAnswer: -d*(d + 4)*(d + 212)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 2*f - 3*f)*(-4 + 4 - 2*f) + (4 - 4 - 2*f**2)*(-10 + 18 + 13) + 0*f**2 - 3*f**2 - 56*f**2.\nAnswer: -99*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2. Let f(c) = -81*c**2 - 2*c - 4. Let v(y) = 161*y**2 + 5*y + 10. Let i(h) = 5*f(h) + 2*v(h). Give i(n(l)).\nAnswer: -83*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*m + 4, 0 = -5*x + 4*m - m + 6. Suppose 2*f + 0*f - 610 = x. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*j + 38*j - 68*j**3.\nAnswer: -68*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 726206 = -152906. Suppose -m = b - 10737. Let j = 1787 - m. Round j to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 3*n - 20, -2*c + 30 = 2*n + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*v + 2*c + 11, 0 = 3*c - 3. What is the derivative of -v*d + 2 - 1 - 4 wrt d?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 8. Let a be v(0). Let c = a - 13. Let p(m) = m**3 + 4*m**2 - 6*m + 1. What is the units digit of p(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-6))\/(-5)*-8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2364498 to the nearest integer?\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 716366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821236486?\nAnswer: 2, 7, 58659749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2330027 is divided by 48542.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2*(sqrt(68)*2 + 2 + sqrt(68))*-6 - 3*(1*sqrt(68) + -5 + -6*(sqrt(68) + 1) + sqrt(68))))**2.\nAnswer: -672*sqrt(17) + 39217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10290 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*s + 2*z + 13 = -475*s, -40 = -49*s - z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1330\/27957?\nAnswer: 1330\/27957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10082.03656 + -10082. What is t rounded to three dps?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**4\/24 + j**3 + 12*j**2. Let k be m(-2). Solve y = -3*y - k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -48 (b) -2 (c) 1 (d) 0 (e) 130778\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -7. Let v = z - 4. Let t = 70 + v. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*l - 193 = 2, 0 = -p + 4*l - 48. Calculate the common denominator of 77\/10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.26 - -0.17. Let s = -0.17 + g. Round s to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 7:50 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*r - z - 6, 5*r = 2*z + 20. Suppose g = 2*n - 71, n - 4*n - r*g = -103. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-12)*o*o*o**(2\/45))\/(o**(-4)\/o)**(-30) assuming o is positive.\nAnswer: o**(-7198\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74)\/(-24) - (88 - 85)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90675520 and 284?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -276088 by 5.\nAnswer: -276088\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 13\/2. Let 1\/6 + 1\/6*w**3 + f*w**2 + 1\/2*w = 0. Calculate w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/17086 + 175403\/1546283. Find the common denominator of -81\/22 and u.\nAnswer: 3982","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*o + 588 = 299*o for o.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 + 0*q**2 - 127952540*q**3 + 127951839*q**3.\nAnswer: -701*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.014 times 2\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15050, 15054, 15048, 15020, 14958, 14850?\n\"Answer: -2*h**3 + 7*h**2 - 3*h + 15048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/17 - 132*i\/17 + 1872\/17.\nAnswer: -2*(i - 12)*(i + 78)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1325607\/6428 - 42\/1607. Let f = l + 205. Is -1 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6822 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 8*g - 6. Let x be v(7). Let u = 6 + -7. Which is the nearest to x? (a) 2\/19 (b) 0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from {u: 1, c: 2, x: 2, p: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10212862 and 1885804?\nAnswer: 8327058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 248*p**2 + 2056*p + 17. Suppose -17 - 3 = -5*v. What is the remainder when x(8) is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21907 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/4 > -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*p = 30. Let z = p + -7. Let a = -4 + z. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - (2 + 0)) + 43. Let z = 77 - i. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 - -128. Calculate the common denominator of -2 - (5915\/d)\/(-13) and 101\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x + 1. Let d(f) = 1001*f**2 + 1638*f + 819. Calculate -2*d(l) + 1638*r(l).\nAnswer: -2002*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaf when four letters picked without replacement from {f: 1, p: 4, a: 5, x: 4, b: 1}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 96*o + 17. Is l(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1788*v - 1794*v + k + 16 = 0, 7 = -v + 5*k. Solve 26 = -5*u - v*o, 0 = 2*u - 2*o - 6 + 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -47, -8, 3, -2 in decreasing order.\nAnswer: 15, 3, -2, -8, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 78690369.\nAnswer: 15738073.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/2 + 25762*s - 5592354.\nAnswer: -(s - 51306)*(s - 218)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.5, -1.5, 3, -30?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 3:33 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/7480 and 123\/176120.\nAnswer: 1937320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.6 - -3. Let v = -52 + 51.6. Let l = f + v. Sort -2\/5, 3\/7, l.\nAnswer: l, -2\/5, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 + 75. Let j be 0 + (0 - 84\/27). Do j and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, v: 2}. Give prob of picking 3 t.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37424*p**2*q**2 - 5*p**2*r**2 - p**2 - 2*p*q**2*r**2 + 2*p*q**2*r - 24*p*q + 8*q**2*r**2 - 2 wrt p?\nAnswer: 74848*q**2 - 10*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.228 - 2.772. Let j = 295.05 + -295. Which is the closest to -1\/3? (a) 1 (b) v (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbbbbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16902314 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**2 + 48675531*h + 48675534 = 0.\nAnswer: -1, 16225178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 182a + -39?\nAnswer: 17d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 9:11 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/3)\/(-2) - 1. Suppose -y = t + 1. Let w(u) = -u**3 - 4*u**2 - 2*u - 3. Calculate w(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-7) + (-111)\/(-21). Let d(r) = 2*r - 6. Let c be d(p). Suppose c*l = l + 102. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 7*n = -3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 44\/3. Let o = -5.88 + 6. Sort -3, o, g in increasing order.\nAnswer: -3, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2495270, -4990538, -7485806, -9981074?\nAnswer: -12476342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + 4*k + 3. What is the tens digit of u(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2056743, 2056813, 2056887, 2056965, 2057047?\n\"Answer: 2*s**2 + 64*s + 2056677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 263 = 237. Let d = -110 - h. What is the lowest common multiple of d and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 21. Let u = -8 + p. Solve 0 = -u*n + 5 + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/8142 + -16277\/56994. Let w = -0.1 + 27.1. Put -2\/11, j, w in decreasing order.\nAnswer: w, -2\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008203231 to 4 decimal places.\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 12*l**2 - 10*l + 3. Let j be v(-11). Let w be 6306\/45 + j\/60. Let o = 186 - 166. What is the greatest common divisor of o and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*f - f - 482, -729 = 3*t - f. Suppose 3*b = -3*g + 9, 5*g - 24 + 3 = -3*b. List the prime factors of (t\/g)\/(((-10)\/(-15))\/(-2)).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 10.4 (b) -389 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 2608?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30237603 - 17?\nAnswer: 30237564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5418, -5388, -5358, -5328?\nAnswer: -5298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14389 and 115112?\nAnswer: 115112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 0. Let q be (1\/(-2))\/(1\/k). Let s(w) = -2*w - 1. Let i(h) = 92 + 5*h + 90 - 180. Calculate q*i(p) - 7*s(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 62 (base 9) to base 16\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.04 - -0.04. Let h be (-25)\/(-15)*4\/10. Put q, -2, h in increasing order.\nAnswer: q, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 94860 = -3*c - 94889, -5*z - 47 = -c for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**2 + 10*z + 4. Let n(c) = -c**3 + 9*c**2 - 20*c - 9. Let a(v) = 4*n(v) + 9*p(v). What is the second derivative of a(i) wrt i?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 8*q**2 - q + 9. Let j be u(-8). Let p = j + 0. Let f(w) = -2*w**3 - 6*w**2 - w - 4. Calculate the remainder when f(-4) is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 23 - 1)*(-w - w + w) as u + a*w and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3262574003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 327112679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-63)\/(-15) - 6\/30. Let m(o) be the third derivative of 2\/3*o**3 + 0*o - 1\/20*o**5 + 0 + 0*o**y + 2*o**2. Differentiate m(h) wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18244.\nAnswer: 2, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 375108221 to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d + 14 - 2*d**2 + 13 + 7 - 35. Let l be p(-9). Let w = 195 + l. What are the prime factors of w?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 103.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4939 less than or equal to 0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 1:09 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) -38 (c) -79 (d) -5 (e) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 47169472*w. Let o(h) = -11975*h. Give 11816*o(n) + 3*x(n).\nAnswer: 11816*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1521523.\nAnswer: 61, 24943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8847, -17695, -26543, -35391, -44239, -53087?\n\"Answer: -8848*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 13*l**2 + 2*l + 26. Let y be f(-13). Suppose y = -u + 60 + 94. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 2*h**5\/7 + 39*h**4\/56 - 11*h**3\/7 - h**2 + 818*h. Determine n, given that a(n) = 0.\nAnswer: -11\/8, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1333, 1304, 1251, 1168, 1049?\nAnswer: 888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(168)\/sqrt(6)*-6)\/(sqrt(24)\/(sqrt(30)\/sqrt(5)) - (sqrt(4) + sqrt(32)\/(sqrt(8)*2))) + 5)**2.\nAnswer: -120*sqrt(7) + 1033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*l - 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 73.9926873s?\nAnswer: 0.00012234240625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8 = 2*d, -12 = 3*b - 5*b + 4*d. Let z be (-1 + 0)\/((-2)\/(-12)). What is the units digit of (b\/z)\/(2\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 149 + -134. Calculate the lowest common multiple of v and 63.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a. Let f be o(3). Suppose 2*r - 12 = k + k, 3*r = -5*k + 10. Suppose 5*g + 5 = -r*s, g + 4*g - 22 = 4*s. Sort g, -2, f in ascending order.\nAnswer: -2, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 4*t - 3. Calculate l(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 4*f**2 + 4*f + 3. What is k(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 47741, 47764, 47773, 47762, 47725, 47656?\n\"Answer: -f**3 - f**2 + 33*f + 47710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.6 (b) -1.6 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2083*c**3 - 691*c**3 - 708*c**3 - 685*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - (3 + sqrt(567)*-1) - (-3*sqrt(567)*-4 + sqrt(567) - sqrt(567))) + 3 + 1*(1 + sqrt(567))*1.\nAnswer: -81*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 9 = -0*u. Let y be (0 + 0)\/(1\/(-1)). Find the first derivative of -o**2 + y*o**2 - 2*o**2 - o**2 - u wrt o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (131810 - 131810 - 5451*t**2)*(-9 + 5 - 10 + 1) to the form c*t**2 + h + u*t and give c.\nAnswer: 70863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 19?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-367)\/(-45) - 30\/50 - 8?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127*t**3 + 2*t**2 + 3867*t + 4897*t**4 - 4895*t**4 + 956*t wrt t.\nAnswer: 24*t**2 + 762*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16574559 to the nearest integer?\nAnswer: 4071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-128)\/16 - -4*1 - -4. Solve 0 = -2*f - 4*l - u + 16, -12 = 4*f - 3*l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1013554 - 1750854. Round p to the nearest 10000.\nAnswer: -740000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x - j = 1, -9 = -3*x - 4*j. Let t(d) be the third derivative of -4*d**5\/15 + d**4\/24 + d**3\/6 + 26*d**2 + 7*d. Give t(x).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 317*w. Let i(m) be the third derivative of -m**5\/60 - 488*m**2 + 2. Calculate a(i(c)).\nAnswer: -317*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/3 - (-58)\/6*11?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 688658.7 years to months.\nAnswer: 8263904.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-21)\/t*t**(-28))\/(t**(3\/17)*t*t*t**(-25)*t*t*t) assuming t is positive.\nAnswer: t**(-513\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 30. Let c(r) = 5*r**2 + 41*r + 227. What is the remainder when c(-11) is divided by v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 1288.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23903698.\nAnswer: 2, 7, 13, 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503953157.\nAnswer: 3271, 154067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 18582 and -1.875?\nAnswer: 18583.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 671 + 51*y**2 - 645 + 140*y**3 - 139*y**3 to the form u*y**2 + j*y + t + c*y**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 + 56. Let d = w - -7. Let n = -0.7 + -4.3. Which is the nearest to 5\/2? (a) 0.1 (b) n (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*k + 186. Let p(n) = 2*n**2 + 2*n. Let w be p(-2). Suppose -k = w*y - 6*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112 + 223. What are the prime factors of p?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/5)\/((-18)\/2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k + 91 = 465. Solve -5*i - 5*z = 8 + k, -2*i - 17 = 3*z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 465, 1712, 3795, 6714, 10469?\nAnswer: 15060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 + 76*l**3 + 776*l**2 + 1332*l + 630.\nAnswer: 2*(l + 1)**2*(l + 15)*(l + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -185 + 2407\/13. Let m = -2\/9 - -13\/18. Is t smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/20*(-9)\/12\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 158500006 = -5*c, -84553404 - 10546588 = 3*c + 4*x. Round c to the nearest one million.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -1981*q - 35898. Give d(-18).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99 - -102. Let z(h) = h**2 + 14*h. Let d be z(-13). Let m = d + 30. Which is the second smallest value? (a) -0.3 (b) w (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*x = -3*x + 3388, -x + 3386 = 5*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.208, -4\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*b + 29 = 4*l, -5*b = -4*l + 37. Suppose -l*p = -18 - 9. Calculate the remainder when 35 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**2 + 14*t + 6. Let x be 0 - 6 - (0 - -2). Let n(h) = -3*h**2 - 9*h - 4. Give x*n(a) - 5*s(a).\nAnswer: -a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1674572 (base 9) in base 5?\nAnswer: -214410143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 220\/(-80)*(1 + (-6 - -1)). Suppose -106 = z*g - 13*g. Suppose -w + 2*q = -18 - 34, -g = -w + 3*q. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -107*f + 107*f + 36*f**2 + (4 - 2*f - 4)*(3*f - 4*f + 2*f) - 2*f**2 + 2*f**2 - 2*f**2 + 2*f**2 - 3*f + 3*f to k*f + v*f**2 + w and give v.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 r, and 1 n when three letters picked without replacement from wnnrnrwwnwrnnr?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 2*w**2 + 3*w. Let p be l(-4). Let t be 124\/(-7) - (200\/(-35) - -6). Let k = p + t. Are k and 5\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2 = -2*z, 0 = 3*s - 0*s - 2*z - 2. Suppose -s*w = 2*a + 4, w - a = 6 - 0. Suppose 64 = 2*c + 4*k, 0 = 5*c - 4*k + w*k - 100. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2623753?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 712032.\nAnswer: 2, 3, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 424862 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -0.06, 3\/4, -3 in decreasing order.\nAnswer: 3\/4, -0.06, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -141 + 213. Suppose 576 = 6*q + b. Suppose 0 = 3*u - u - 4*f - 42, -5*f + q = 4*u. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3549, 3, -4, -1, 4, -3.\nAnswer: -4, -3, -1, 3, 4, 3549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(8\/(-2)) - -7) + 2\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 64?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 34\/21 - (470\/(-141))\/(-10). Factor -2\/7*f**2 - 32\/7 - s*f.\nAnswer: -2*(f + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4694027*y**2 + 1860249*y**2 + 383298*y**2 - 4954018*y**2.\nAnswer: -7404498*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23477, -23476, -23475?\nAnswer: -23474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 12. Suppose 2*g = -4*g. Suppose 4*w - 118 = 3*u, g = 5*w - 2*w - 3*u - 90. Calculate the lowest common multiple of w and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1215769, 1215690, 1215559, 1215376, 1215141, 1214854?\nAnswer: 1214515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Let k(o) = f*o + 3 - 1 - o. Let y(i) = 2*i + 4. Suppose -3*a - 8 - 7 = 0. Calculate a*k(g) + 2*y(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 1346744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 + 3*k - 4. Let d(z) = 2*z**3 + 2*z - 3. What is -4*a(v) + 5*d(v)?\nAnswer: 2*v**3 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**18)\/b)**(-1\/32)\/(b**(-33)*b**(-18\/11)) assuming b is positive.\nAnswer: b**(5997\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-30)*((-6)\/5)\/(-6). Let p = -1 - -1. Which is the nearest to p? (a) 0 (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + 10 - 1 + 13 to the form v + t*g and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (40\/(-12))\/(4\/(-72))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -53. Let u = s + -137. Is (22\/(-8))\/(3\/u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from {g: 2, j: 1, a: 1, o: 1, y: 5}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0. Suppose o - 3 = 3*z. Are 0 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -3)\/(2\/(-1 - 3)). Suppose -2*f + 2*v + 10 = 0, 0 = f - 0*v - 4*v + z. Let u = 4 + -2. Solve f = 2*l - u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**5 - 1 + 1 + (-2*m**2 - m**2 + 4*m**2)*(2*m - m - 5*m)*(-3*m**2 + 3*m**2 + m**2) + m - m - 3*m**5.\nAnswer: -6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 16*j - 159. Let o be m(9). Let w(x) = -x**3 - 14*x**2 + 17*x + 23. What is w(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f**2\/7 + 34096*f\/7 + 13640\/7 = 0. What is f?\nAnswer: -2\/5, 3410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8028 and -2369.9.\nAnswer: 5658.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 9*o**2 + 58279566*o - 38853048 = 0.\nAnswer: -6475508, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22580*x**2 - 4 + 22582*x**2 - 140)*(-24 + 7 - 19) to i*x**2 + u*x + c and give c.\nAnswer: 5184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 6:47 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (-7 + -6) - 5. Solve 0 + 2 = -k + l, -x = -4*k - l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/3)\/((s*s**(2\/9))\/s))\/(s*s**0*s*s*s)**(-12)*(s**(-1)\/s**(-9))**(-11) assuming s is positive.\nAnswer: s**(-368\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 360 = 3*t. Let d be 5\/(t\/(-24)) - 6\/9. Solve d*m - 5 = 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.33 + 1.53. What is the second biggest value in 3\/5, 0.5, q, 6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 2. Let y be h(4). Let d(v) = -2*v**3 + 5*v**2 + 5*v + 1. Let r(o) = -o**2 - o - 1. Let t(s) = y*r(s) - 2*d(s). Find a such that t(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -621*h**2*o**3 - 31347*h**2*o**2 - 254006750*o**3 wrt h?\nAnswer: -1242*h*o**3 - 62694*h*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f + 30. Let b be a(14). Let u be (2 + (-2)\/b)\/((-8)\/24). Sort -5, u, -2, -24.\nAnswer: -24, -5, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162, 196, 230?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318*h**2 + 110*h**2 - 340*h**2.\nAnswer: -548*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70\/3921 - -185219\/345048. Calculate the common denominator of n and -7\/297.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -681 by 10.\nAnswer: -681\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 34 = -3*o, 4*w - w - 18273 + 18295 = -4*o for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - 2\/(-1 + 0). Let n(l) = -l**3 + i*l**2 - 5*l**2 - 7*l + 4*l. Let o(t) = t**3 - 13*t**2 + 11*t + 8. Let y be o(12). Determine n(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6*4\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(704) - sqrt(704))*-1 + -5 + (sqrt(176) + -1 - sqrt(176)))**2.\nAnswer: -288*sqrt(11) + 6372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4728292 - 8383249934\/1773. Let u be 298\/394 + -2 + 1. Let h = u - k. What is the common denominator of -69\/10 and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*y**3 - 15684*y**2 - 12*y + 5776 wrt y?\nAnswer: -12*y - 31368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1362 is divided by 86.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4699494572 + -3973?\nAnswer: -4699498545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + (-15924)\/(-10))\/(58 + -57). Let l = c - 127499\/80. What is the common denominator of 151\/24 and l?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -0.1, 5\/8, -45\/7.\nAnswer: -46, -45\/7, -0.1, 5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -0*y - 40. Suppose 2*r = y + 44. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/(-15))\/11*6\/17\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 848\/170)\/((-1065)\/1035 + 40\/1380)?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8854 + 8853.9985075. What is p rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43162 by 167.\nAnswer: 43162\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 200, -2018841, 3 in increasing order.\nAnswer: -2018841, 3, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from ooobsobs?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24 - 28?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -387, -4, -156, -706, 3 in increasing order.\nAnswer: -706, -387, -156, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 183, 1, 0.4, -0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -734494 * 0.1.\nAnswer: -73449.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1834534*g. Let q(t) = 6*t. Calculate q(v(i)).\nAnswer: 11007204*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 12*g - 18. Let y be q(-12). Suppose -19*p + 22*p - y = 0. What is the highest common factor of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7192570 and 539?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-76)\/(-20))\/((-3)\/(-15)) - 1. Let k(q) = -q + 20. Let m be k(p). Suppose -3 = -m*t + 281. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 170?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*l + 4*w + 10 = 51*l, w + 19 = -5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/5 of a hour?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 12 = -5*i, -5*a - 3*i + 3 = 1. Does 28 divide 0 + -3 - 62\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8079, -32309, -72693, -129231, -201923?\nAnswer: -290769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 6) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 127 and 508?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74.3 + -76.3. What is the nearest to 2.1 in 7, 5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 4*x. Let r be (x - 1)\/(3\/(-33)). Suppose -5*n + 5*v - 2 = v, 4*n + v = r. Solve -2*f - n = 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 1. Let g be n(-5). What are the prime factors of -1*(-1 + g\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**4 - q**3 - q**2 + q + 1. Let w(p) = 19*p**4 - 33*p**3 + 3*p**2 + 9*p + 1. Let j(z) = a(z) - w(z). Solve j(m) = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y. Let k be h(4). Is 10 a factor of -2 + k - (-86)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(sqrt(1296) - (sqrt(1296) + 1*sqrt(1296) + sqrt(1296))))**2.\nAnswer: 1\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l - 497. Let c(i) = 6*i + 495. What is 5*c(x) + 4*d(x)?\nAnswer: -2*x + 487","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5463, -5519, -5575, -5631?\nAnswer: -5687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**4\/6 + 698*b. Let d(z) = 1640*z**2. Give d(c(n)).\nAnswer: 6560*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 - -65?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 240565373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*o - 4 = 0, -3*o = 5*m - m - 7. Let f = 4 + m. Suppose -11 = -f*v - 3*g + 7, -2*v - g + 22 = 0. Solve 5*q + 5*r = 4*r + 14, 5*r - v = 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87*d + 542 - 542)*(-4 + 3 - 2 + (-6 + 4 + 0)*(3 - 3 + 2) + 3 - 1 - 5).\nAnswer: -870*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 45\/20 + (-1)\/4. Suppose -3*x + 434 = -169. Suppose -x = -u - o*u. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11a2a17 (base 12) in base 2?\nAnswer: 1101001001100100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Solve a*j = -2*r + 6, -r - 8 = -3*j + 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-0.52.\nAnswer: -0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3\/4, -1\/119, 4, -72?\nAnswer: -1\/119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.03 (b) 0.38 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5, -19, -41, -71?\n\"Answer: -4*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.41 + -3.41000478. Round a to seven dps.\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 1 + 5)*(s + 0*s - 4*s) in the form n*s + g and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -561 - -565. What is the closest to 0.1 in r, -4, 1\/3, 12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiffioff. What is prob of sequence ffif?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8536 + 8538. Sort -1116, 1, c, 1\/8 in descending order.\nAnswer: c, 1, 1\/8, -1116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/2498648 and 97\/31233100.\nAnswer: 62466200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n**2 + 3*n - 3. Let l be i(1). What is the least common multiple of (-1)\/(l\/16*-1) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*i - 61299 = -4*i + 25341. Calculate the greatest common factor of 120 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2 + 1. Suppose -115*x + 112*x + 27 = -5*l, 0 = -4*x + 16. Let u(s) = 5*s**2 + s + 1. Calculate l*z(k) + 2*u(k).\nAnswer: -2*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1205, -5473, -12585, -22541, -35341?\nAnswer: -50985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 10*t + 3. Let n be q(10). Find the common denominator of -20\/7 and (-85)\/n*(-3)\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 377 divided by 377\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -187*l**2 + l - 5*l + l + 186*l**2 + 5. Let w(r) = -r + 1. Give -o(v) + 3*w(v).\nAnswer: v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77323*w - 77367*w + 75 = -145 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92 - -93. Let r be (7 + -11 - a) + 12. Solve r*n = 2*n + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 0*d**3 - 5\/2*d**4 + d + d**2 + 10. What is q(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24254 rounded to the nearest 100?\nAnswer: 24300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*l - 4105 = 468*l + 374*l - 295*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2 - 7*s - 1. Let f(d) = 4*d**2 - 8*d - 2. Let g(j) = -4*a(j) + 6*f(j). Factor g(z).\nAnswer: 4*(z - 2)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**6\/120 + i**5\/30 - i**3\/6 + 3*i**2. Let n be r(1). Solve n = -2*f + 7 + 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -27 + -4 + 1746 + -1740.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/45*-11*42\/(-56) and 68\/21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -94711047, -94711048, -94711049, -94711050, -94711051, -94711052?\n\"Answer: -k - 94711046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 142250 times -107.4?\nAnswer: -15277650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*c**2 + 10*c**4 + 8*c**4 - 3 + 2*c**2 - 6*c**4 + 40*c**4 to the form x*c + z*c**3 + f + q*c**4 + h*c**2 and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9804 = -o + 9849. Let n = 172 - 64. Let i = n + o. What is the greatest common divisor of i and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -7, 42, -1, 4 in ascending order.\nAnswer: -7, -2, -1, 1, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 24*f - 125. Let c be m(-14). Solve 15 + c = 10*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.1, -2\/7, -3, 709, -0.1178, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606385003.\nAnswer: 7, 3257, 26597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 355 = 5*a, -5*a + 17*a + 404 = 4*h. Calculate the greatest common factor of 3980 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/1)\/6*-6 + 14. Let x(l) = -l + 11. Let p be x(11). Suppose p = -i + 4. Solve 3*f - 3 = i*j - z, 4*j - 14 = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 y when three letters picked without replacement from fppyyyffppfypy?\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*n - 12 = 0, -2*f + 9 = f - 4*n. Let c be (f\/(-6))\/(-1*(-1)\/8). Let i be 27\/18*c\/9. Is -7 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -256560 + -0.3016\nAnswer: -256560.3016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djgljvt. What is prob of sequence vl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -628 - 0.07.\nAnswer: -628.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 231305 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 25, 4, -35, -98, -191?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 4*i - 5 - i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -150, 11, 29.\nAnswer: -150, -2, 0, 11, 29","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Express 1 - u**3 - 2 - 3*u**2 + 0*u**3 - 1 + 14*u + 7*u as w*u**3 + z + h*u**2 + n*u and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*b**3*g**2 + b**3*g*j + 2*b**3*j - 5*b**2*g**2*j - 4*b**2*j - g**2*j wrt b?\nAnswer: 108*g**2 + 6*g*j + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5369 + 5606. Calculate the remainder when 916 is divided by l.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((2*-2*sqrt(156))\/(-1*sqrt(48)\/sqrt(4) - sqrt(12)))**2.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -204858881.\nAnswer: 3\/204858881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 507 or 165655?\nAnswer: 165655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*q = 69*q - 144023. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, r: 4, o: 1}. Give prob of sequence rvvo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*n = -81*v + 80*v - 192, 0 = 2*n - 3*v + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 462, 925, 1388, 1851, 2314, 2777?\nAnswer: 3240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 517.8099mg to grams.\nAnswer: 0.5178099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -866 - -866. Suppose -4*l + 494 = f, a = -5*f - l + 2079 + 353. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 31*k + 242. Determine a(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 268 + (-60 - 23) + -110?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001716 to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0092 (b) 7 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -871*x + 14517 = -1072*x - 1764 for x.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**6\/360 + o**5\/90 + o**4\/72 - o**3\/9 - 26*o**2. Suppose n(p) = 0. What is p?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n. Let k be o(1). Do 1\/76 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/13*5*(-1)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 110, -2\/5, 0.45 in ascending order.\nAnswer: -3, -2\/5, 0.45, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -784 = -15*r - 844 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.53676s in microseconds?\nAnswer: 35536760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r - 6. Let v be 0*(-12 + 5)\/7. Suppose v = 23*d + 65 + 73. Give z(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-306)*57 - 6\/51. Let b(l) be the third derivative of 53*l**6\/120 + l**5\/60 + l**4\/24 - l**3\/6 + l**2. List the prime factors of b(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231280?\nAnswer: 2, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 + 21*h - 21*h)*(-2 - 2*h + 2) - 16*h**3 - 4*h**3 - 16*h**3.\nAnswer: -42*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000 (base 2) to base 3.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 + 13*j - 26. Calculate p(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5064 - -8507. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/314 and -2*(-1863)\/396 - 6?\nAnswer: 3454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111*g**5 - g**2 - 122*g - 1 wrt g?\nAnswer: 2220*g**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 5 - -2 - 2 - (33 - (37 + -38)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**3\/5 + 2*t**2\/5 - 2*t\/5 - 2\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/37 + 69\/185. Let f = -4878.2 - -5303. Let j = f + -425. Which is the closest to o? (a) 10 (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxxpxxxpxpxxxpp. Give prob of picking 1 x and 2 p.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 49942236 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109697 is divided by 473.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, 3, 2 in descending order.\nAnswer: 9, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -156105.14 rounded to the nearest 1000?\nAnswer: -156000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.58 * -0.3.\nAnswer: 0.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*i + 4*k - 25, 3*i = -2*k + 25. Suppose -i*b + 2*b + 315 = -2*r, -2*b + 2*r + 212 = 0. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2213764?\nAnswer: 2, 7, 79063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1, -0.2, -40?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99*y**5 - 9*y**4 + 993*y**2.\nAnswer: 5940*y**2 - 216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125888?\nAnswer: 2, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d - 35 = 0. Let a be d\/42 - 1\/(-3). Suppose -2*j + 0 - 4 = -4*w, 2*w + 5*j = -22. Is a smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -163683 by -9.\nAnswer: 18187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**31*y*y)\/y)\/y*y\/((y**(3\/22)\/y)\/y))\/(y**(-1\/4)*y*y**(-1\/27)))**(10\/7) assuming y is positive.\nAnswer: y**(202855\/4158)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71965, -71965, -71961, -71953, -71941, -71925, -71905?\nAnswer: -71881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-28) + (-40)\/7. Let i be (-8)\/s*(-6)\/(-4). Suppose -i*k = -5*p + 2*p - 12, 0 = 5*k + 4*p - 7. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 251*d**3 + 6*d + 9. Let l(z) = 2511*z**3 + 62*z + 93. Determine 6*l(o) - 62*y(o).\nAnswer: -496*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31831 is divided by 77?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 81984 divided by -8\nAnswer: -10248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -131100 (base 4) in base 14?\nAnswer: -97a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c - 7. Let t(z) = 11*z + 16. Calculate 2*t(a) + 5*u(a).\nAnswer: -3*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -10010?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -39. Let x be (k - -2)*20\/(-70). Suppose -x*b - 508 = -2342. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38732 is divided by 3076.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -40688, -40699, -40724, -40769, -40840, -40943?\n\"Answer: -z**3 - z**2 - z - 40685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w + 33*w + 2*w**3 - w**3 - 33*w - 18 - 92 in the form s*w**3 + j + o*w**2 + v*w and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1371488535*a**4 - 1513922510*a**2 wrt a?\nAnswer: 32915724840*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 778001.62117 take away -0.4?\nAnswer: 778002.02117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + 3. Suppose j + 98 = a. Let m = -10 - -20. Calculate the highest common divisor of m and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604 is divided by 109?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 30*g**2 - 45*g - 114. Let l be d(-29). Round l to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 342326 - 141261. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*f + 25*f = 133*f - 28*f - 12096 for f.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 19 - -13 - (2 - (-7 + -1))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 + 15)*26\/6 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**4*(f**(1\/5)\/f)\/f*f*f\/(((f**0*f)\/f*f)\/f)*(f*f\/f**2*f)\/f assuming f is positive.\nAnswer: f**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 4*a**2 + 2*a + 3. Let c be l(-4). Let x(h) = -2*h - 5. List the prime factors of x(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 2*h + 5. Let j be f(-9). Let u = -35 - j. Find the second derivative of u - 23 + 9*t**3 - 6*t wrt t.\nAnswer: 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 8. Suppose -a*t = -1 - 15. Solve 4*v = 5*i + 5, 0*v - 4*i - 4 = t*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, b: 9, t: 3}. Give prob of sequence mbt.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 27*c**2. Let b(w) = 262*w**2. Give b(y(u)).\nAnswer: 190998*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24024.\nAnswer: 2, 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12341214 (base 5) to base 7.\nAnswer: 1014015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8776.000018623 + 8776. Round p to 6 decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a - 497 - 328 = 6*a. Solve a*n - 58*n + 6 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - g**2. Let d(v) = 8*v**3 - 8*v**2 - 1. Suppose x + 6 = -x - 2*m, 4*x - 2*m - 12 = 0. Give x*d(t) - 6*p(t).\nAnswer: 2*t**3 - 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (73\/(-3))\/((-1)\/3).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1445 or 9\/10?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence teqr when four letters picked without replacement from {e: 5, t: 1, r: 7, q: 1}?\nAnswer: 5\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**2\/2 + 505676*v + 1011353\/2 = 0.\nAnswer: -1, 1011353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0043305 rounded to four dps?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 - 23*o + 31. Determine a(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 70 - 30. Let o = s - 3. Let i = o - -36. Calculate the remainder when 25 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.42 to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-9)\/(-18)*-90974 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1409*r + 12. Is g(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7350 + 7598. What is the greatest common factor of 589 and z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/13 + -1 + (-117144)\/429. Let g = l - -105334\/385. Calculate the common denominator of 22\/7 and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5204 (base 7) in base 14?\nAnswer: 93b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 28 - 57. Calculate the highest common divisor of 85 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*r**2 - 1011047*r - 7875503 wrt r.\nAnswer: 6*r - 1011047","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c. Let x(j) = -626245547*j. Calculate x(b(t)).\nAnswer: -626245547*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7416*n - 26000 - 985818 = -2602*n for n.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 4*w**2 - 5*w - 2. Determine h(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 227057512 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v. Let b(h) = 2920*h**2 - h - 1. Give b(y(p)).\nAnswer: 26280*p**2 - 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 31.8*0.1\nAnswer: 3.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1520 - 262 = -17*p. Let o = 84 + -154. Let q = o - p. Solve -4*w - x + 11 = 0, -q*w + 2 = -x - x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 13 = -4*n, -6*t + 25 = 5*n - t. Suppose -4*c - 4*s + 2048 = 0, -5*s - 1390 - 640 = -n*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1715231255 divided by -6.\nAnswer: -1715231255\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s - 2. Let t be m(3). Suppose -2*i + 0*i = -22. Solve i = 3*z - t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 9*g + 5. Let q(d) = 26 - 17 - 2*d - 11 - 2*d. Let u(p) = 2*i(p) + 5*q(p). Give u(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) - (sqrt(1053) - (-4 + sqrt(1053)))) + -3.\nAnswer: -7 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9792 - -7877. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -82 in -90, 4, -0.025?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 4. Let v be (-96)\/52 + 4\/(-26). Let c(r) = 1. Calculate v*c(n) + y(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2\/9))**(-50)\/(i**(-1\/4)*i**(3\/11))*(((i*i**(-2\/11)*i)\/i)**10)**(-9) assuming i is positive.\nAnswer: i**(-53369\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 560, 862, 1164, 1466, 1768, 2070?\n\"Answer: 302*a + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 1)*(-3*f + 2*f + 3*f)*(8 - 2 - 1).\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - -1. Let x = 20 - 19.88. Let z = 0.02 - x. Which is the smallest value? (a) z (b) w (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 225 + 13705?\nAnswer: 14132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 1. Let u be s(9). Let t(f) = 37*f + 671. Let y be t(-18). Solve -y*q - 2 = h, -5*h + 0*q = -5*q + u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -222117 and 0.65996.\nAnswer: -222116.34004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9.3 - 45632\nAnswer: -45641.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 186, -322, -1852, -4914, -10018, -17674, -28392, -42682?\n\"Answer: -85*r**3 - r**2 + 90*r + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/10, 2, -75, -2398?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -265026 divided by -6.\nAnswer: 44171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 4*q**2 - 8*q + 2. Let f be a(-6). Let x = f - -30. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/61 (b) 5 (c) -0.5 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 23. Let u = 14\/3 + n. Find r such that 6*r - 32\/3*r**2 + u*r**5 - 4\/3 - 4*r**4 + 28\/3*r**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2832 - 2642 = 38*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 19*n**2 - 4*n - 37. Let s be q(-19). What is s rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 22*l + 42759 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5 = 0, 0 = -3*x + 3*p - 5*p + 11. Let z(r) = -r**2 - 3660*r**3 + 2*r - 1 + x + 0*r**2 + 0. Is z(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/19, 1\/4, 16, 0.4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000039298379 to 7 dps.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 137*l - 6153. Determine r(45).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 6*c + 4. Let j be h(-3). Let s be (-18)\/j - 3\/5. Suppose -2*b = -3*u - 0*u + 10, -5*u = -s*b - 15. Solve u = -g - 4 - 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9190 + -9189.6. What is the nearest to -0.101 in -2\/7, t, 4\/11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -21. Suppose z = w + 7. Sort -4, 1, w.\nAnswer: w, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8088)\/(-360) - 22)*(240\/63)\/8\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0.2, -2, 2\/3, -5, 2\/823?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -610, -607, -606, -607?\n\"Answer: -t**2 + 6*t - 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 753998092?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.28 times -0.8\nAnswer: 0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 10:12 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2dd592 (base 16) to base 8.\nAnswer: 13352622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/40 - (-2)\/(-5). Let b = 22 - 17. What is the biggest value in b, -0.4, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -45. Suppose -q*x + 8*x + 375 = 0. What is the remainder when x is divided by (-9 - 4 - -10) + 23 + -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10919 + -10918. What is the fourth smallest value in 3, -5, z, -13.4, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqa when three letters picked without replacement from quuquayaqquy?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 8:25 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26799 - 24740. What is the highest common factor of 116 and v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/51 and -41\/489?\nAnswer: 8313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(567139*i**5 - 567138*i**5 - i - 265*i**2 - 35*i**2).\nAnswer: i**5 - 300*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -8*y + 4. Let f be h(-4). Suppose -c = 3*c - f. Let d(o) = 4*o + 7. Is d(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 23247*a**3 + 9*a**4 + 23248*a**3 - 37*a**4 in the form p*a**4 + h*a + q*a**3 + w + v*a**2 and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 236 + 20682005?\nAnswer: 20682242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/4 <= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 18. Let s = i + 4. Let d = s - -6. Which is the smallest value? (a) d (b) -1\/4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 6. Let u = -3 + 6. Let c = 647 + -608. Suppose u*b = -18 + c. Calculate n(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 - 10*o + 223. Suppose 3*f - 123 = -3. Calculate the remainder when f is divided by a(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 542 - 542 + 71*i**3 + 4*i**3 - 4*i**3 + i**3 + (i + 0*i - 3*i)*(-i**2 - i**2 + 3*i**2) + 3*i - 3*i - 2*i**3 + i**3 - 1 + 1.\nAnswer: 69*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.6497 to 1 dp.\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4426, -6182, -9114, -13228, -18530, -25026, -32722?\nAnswer: -41624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19379.\nAnswer: 19379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 11*g**3 + 4*g**2 + 9*g + 6. Let h(d) = 21*d**3 + 9*d**2 + 19*d + 13. Calculate -6*h(l) + 13*t(l).\nAnswer: 17*l**3 - 2*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 1, v: 1}. Give prob of picking 1 u and 1 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j + 3*j)*(0*j**2 + 2*j**2 - j**2) - 4*j**3 - 3*j**3 + 5*j**3 + 0*j**3 + 3*j**3 - 5*j**3 + 7*j**3 - 3*j**3 - 2*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.50071*-4\nAnswer: 2.00284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**3 - l**2 - l**2 - 2*l + l + l**2. Let u be a(-1). Suppose -x - 4*x - u*w = -14, -x + 5*w = -19. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/15)\/((-4)\/(-6)). What is the units digit of (j - -33) + (-11 - -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5628 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 156.73 - -50.85. Let t = d + -218. Round t to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 6*p - 72, 3*p + 3 = 2*x - 51. Solve -7*h + 23 = -x*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5031 + 5033.04. What is the nearest to -2 in -1, d, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 + 4*d - 8. Let a(r) = -r - 1. Determine 3*a(o) + i(o).\nAnswer: 2*o**2 + o - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03617 and -3008.\nAnswer: 108.79936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3 - 2. Let x be 1 - (-57)\/(-63)*w. Let k = 44\/9 - 185\/36. Put k, 1\/4, x in increasing order.\nAnswer: k, x, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15 + -37)*2\/(-4). Suppose 0 = 9*f - r*f + 84. Suppose -5*p = -f - 58. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*o + 192399 + 6201184 + 637707. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (303 - 23 + 262 + 209 - 78)*(206*c - 206*c - 6*c**5).\nAnswer: -4038*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + m - 227 = 0, 2 = -0*m + 2*m. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**2 - 3*v**2 - v**2)*(99*v - 55*v + 57*v) - 3*v**3 + 2*v**3 + 0*v**3 to the form o*v + c*v**2 + b*v**3 + d and give b.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 3*d + 149, 47*w + 4*d - 72 = 44*w for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 341, 677, 1019, 1373, 1745?\nAnswer: 2141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hsshhhyhhqshsyhqhhhs. What is prob of sequence hyhs?\nAnswer: 55\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -592882254 divided by -21958602.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrwvqvvjiiqwrrrrv. Give prob of sequence qjv.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 19. Let u be v(9). Let p(l) = l**2 + 11*l + 5. Determine p(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*45\/(-105)*4\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 44 = -21*a - 124 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 1:22 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 7:26 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3630, -7608, -11586, -15564, -19542, -23520?\n\"Answer: -3978*j + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/12*-2*(3 - 18). Suppose -41 = -v*f - 1. Sort f, 5, 4 in increasing order.\nAnswer: 4, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.29 (b) 4\/7 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7440 and 53103?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -19*b. Suppose -13*m + 2*m = 66. Let v(l) = -5*l. Let w(a) = -19*a**3 + 2*a**2 - a. Let j be w(-1). What is j*v(y) + m*g(y)?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 4, -3, 1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = d - 8, -3*d - 8 = -2*j - 0*d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -70*s**3 - s**2. Let x be f(-1). Suppose -g + 3*a - 49 = -3*g, x = 3*g + 3*a. Suppose 4 - g = -4*t. Solve -t*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12897, 35071, 72021, 123741, 190225, 271467, 367461, 478201?\n\"Answer: -f**3 + 7394*f**2 - f + 5505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-6)*(-31413)\/(-3591553).\nAnswer: -1\/98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 4*q**2 + 2*q - 3. Let m be d(4). Suppose 75 = 4*v - 5*x, 0 = -2*v - 0*x + m*x + 45. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 12*g + 186. Do g and -31 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 3*t**2 + t + 3. Let i be d(-3). Let n(u) = u**2 - 2*u + 1. Let a be n(1). Find the second derivative of -2*y - y**5 + a*y + i*y**5 wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/39)\/r)\/r*r*r\/(r*r**(-23)*r)*r*(r*r**(-6)*r)\/r**(6\/7) assuming r is positive.\nAnswer: r**(4694\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3523108 to the nearest integer?\nAnswer: 1877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, i: 1, x: 5, k: 1, v: 5}. Give prob of sequence xix.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 15) + 12 + -9 + 18?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -6 - -19) + (-26 - -2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28384092, -56768180, -85152262, -113536338, -141920408?\n\"Answer: 3*d**2 - 28384097*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 15.6533 (b) 3\/10 (c) 2\/5 (d) -5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 624*b + 193*b + 16788 = -582*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 - 235 - 318 = -57*o. Calculate the remainder when 452 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + sqrt(7) - sqrt(7)) - (sqrt(35) - (sqrt(35) - (sqrt(35) + sqrt(2240))))\/sqrt(5).\nAnswer: -9*sqrt(7) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 83 = 5*w. Let t = w + -54. Suppose 2*n = -2 + 20. Solve 3*f - 5*u - t = 0, n = -2*f - 4*u - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 - w**2 - w**5 - w**4 + w**4 + 2*w**5 + (2*w**2 + 3 - 3)*(4*w**3 + 2*w**3 - 4*w**3) + 53*w**5 + 33*w**5 - 21*w**5 + 6.\nAnswer: 70*w**5 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.419261 or -1\/22?\nAnswer: 1.419261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three eighths of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14690\/(-226) - 396\/(-2)\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2461 + 1177860.\nAnswer: 1177859.7539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2*l**2 + 4 + l - l + 2*l**2 + (0 + 2 - 4)*(0*l**2 + l**2 - 2*l**2) + (-39 + 28 + 19)*(3*l**2 - 15 + 15) - l**2 - 2*l + 2*l + l**2 + 3*l**2 + 3*l**2.\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -1\/15, -156, -1\/4, 3\/8?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l - 9. Determine o(10).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -156*p - 1. Let x(t) = 3*t. What is x(i(c))?\nAnswer: -468*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h = 0. Suppose h = 3*l - 3. Put 2\/9, -2, l in decreasing order.\nAnswer: l, 2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1898\/517 + 24\/47. What is the common denominator of r and 0 + 3 + 28\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 3 - (26 + -20)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3813*r**2 - 13*r - 1288. Let u(s) = 952*s**2 + 3*s + 322. Let t(d) = -2*k(d) - 9*u(d). Find the second derivative of t(o) wrt o.\nAnswer: -1884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 4*m + 33. Suppose 53*c - 56 = 50. Suppose -u + m = c*x + 2*x, 2*x = -2. Calculate the greatest common divisor of 198 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ey when two letters picked without replacement from {e: 5, x: 1, y: 8, f: 5}?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.492 + -6.492. Sort 8\/7, j, -1\/6, -15.\nAnswer: -15, -1\/6, 8\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2 - 361*v - 2573. Calculate j(-7).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5067132966 - 5067132996.00000061. Let j = 126 - 156. Let d = b - j. Round d to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 576 and -180682356751.\nAnswer: -180682356175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -10*r**3\/3 - 2086. Let h(g) = -5*g**2 - 161*g. Determine h(d(n)).\nAnswer: -500*n**4 + 1610*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.23 + 0.93. Which is the nearest to 31? (a) 2\/9 (b) u (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3324227084.\nAnswer: 2, 831056771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**3 + 3*i**2 - 3*i - 5. Let k(o) be the second derivative of -7*o**5\/20 + 5*o**4\/12 - 5*o**3\/6 - 9*o**2\/2 + 7*o. Calculate 3*k(g) - 5*r(g).\nAnswer: -g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + 0*l + 0*l)*(2*l - 2*l - l**2)*(3*l + 2*l - 46 + 44).\nAnswer: 15*l**5 - 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -43262.351 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(12)\/sqrt(2) + sqrt(6)))\/(sqrt(80)\/sqrt(4)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*h - 121*h - 95*h.\nAnswer: -283*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -729 + 616 + -5 + 3 + 50\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 5*n**5 + 4540*n**4 - 18250*n**3 - 9060*n**2 + 54765*n + 41040 = 0?\nAnswer: -912, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - i + 4. Let n be v(0). Solve 25 = l + n*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 6*z**2 + 7*z - 6. Let m be n(5). Let g(w) = w**3 - 5*w**2 - 6*w + 4. Let i be g(6). Is m less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/(-26))\/(-5)*0\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 17*g**3 + 101*g**2 + 450*g + 750. Let c(n) = 9*n**3 + 51*n**2 + 225*n + 375. Let k(i) = -11*c(i) + 6*d(i). Factor k(u).\nAnswer: 3*(u + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 4*w - 210 = 0. Calculate the remainder when w is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 4*a - 43)*(-2*a**2 + a**2 + 0*a**2).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 345706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 5 - 3) + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(7\/((-84)\/87) - -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 0*s**4 + 28*s - 1\/3*s**5 + 0 - s**2 + 0*s**3. Let k(g) = 3*g. What is f(k(h))?\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in sixty-four fifths of a milligram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 4*o - 2*i - 6824, -o = -5*i - 1688. Let y = -887 + o. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**2 - 23*d + 26. What is p(-9)?\nAnswer: 638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/7)\/w*w**(2\/7)*(w\/w**(-5))\/w**(-4\/9)*(w**(-2\/3)\/w**(-11))**(-11) assuming w is positive.\nAnswer: w**(-6782\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*p - 191*p - 4176 = 12*p for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -7)*46\/8. Let j = 85 + s. Calculate the remainder when j is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -664 - -1132. Suppose -h = 5*s - 8*s. Suppose a = 2*r + 34, 3*a = -3*r - 18 + s. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10479851918*a**2 - 2*a + 10479852028*a**2 + 2 + 2*a.\nAnswer: 110*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 722*p - 359*p - 362*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 578.00943ns?\nAnswer: 0.000000000160558175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - -2*sqrt(245))**2*-2.\nAnswer: -4410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2815000 (base 9) to base 13\nAnswer: 4215b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281037 is divided by 140478.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.632145 rounded to three decimal places?\nAnswer: -1.632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/12)\/((-2)\/18) - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 + 89. Let d = 55 - i. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a - 12. Let t(x) = -5*x**2 - 19*x - 6. Let d be t(0). What is k(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -830, -1356, -1880, -2408, -2946, -3500, -4076, -4680?\n\"Answer: -u**3 + 7*u**2 - 540*u - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1399 in 3\/136, 0.3, 0.15?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 8. Let h(z) = z**2 - z + 5. Let w be h(5). Suppose 5*k - 30 = w. Calculate the lowest common multiple of s and k.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 169, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**3 + 2*n - 9*n - n**2 + 13 - 10*n - 17 - 8*n as u + f*n + r*n**2 + v*n**3 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*i + 1. Solve 6 = -i*l + l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8231.542 micrograms to grams.\nAnswer: 0.008231542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20\/9)\/((-92)\/(-414)))\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Express -50437 + 50439 - 5*f**2 + 4*f**2 + 2*f**2 + 284*f as b*f + p + o*f**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -0.1.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-182)\/(-39) - (0 + 8\/(-6)). Suppose p + 3*o + 6 = 0, 3*p + p = -3*o - s. Find the third derivative of -57*c**4 + 16*c**4 + p*c**2 + 11*c**2 wrt c.\nAnswer: -984*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.305 - -55.305. Let w = m - 57. Which is the closest to -1\/4? (a) 3 (b) 0.06 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4907 + 9918 = 5*q. Suppose 1879 + q = 7*r. What are the prime factors of r?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 970 = 6*h - 2*z, z = 4*h + 9 - 654. Is 317\/2 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 13*r**2 - 27*r + 44. Calculate u(11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 5:54 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-13)*v*v*v)*v**5)**(-37)\/((((v\/(v\/v**(-1)*v*v)*v*v)\/v)\/v*v)\/(v**12\/v))**36 assuming v is positive.\nAnswer: v**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -4, -2, 0 in increasing order.\nAnswer: -4, -2, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l + 180. What is the smallest common multiple of 0 + (-1 - -5) + (5 - 3) and q(0)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, -1, 18 in descending order.\nAnswer: 80, 18, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.55151 months in decades?\nAnswer: 0.13792925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7*b - 27. Let n be u(4). Let x be -5*n - (30 + -43). Solve -6*h + 3*z - 12 = -h, -2*h - 2*z = -x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2.92, 3\/17, 2\/7 in increasing order.\nAnswer: -2.92, 3\/17, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 11:45 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b - b + 0*b)*(-2 - 2 + 8).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 5*x**2 + 5*x - 6. Let q be s(5). Let b = 70 + q. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 178?\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 277481542 to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a micrometer in nanometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 greater than or equal to 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1103, 2540, 3977, 5414?\nAnswer: 6851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4974047567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83838 is divided by 41904?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 5*s**2 - 2*s + 4. Let d = -274316 + 274426. What is the remainder when d is divided by c(6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -445625 by 3.\nAnswer: -445625\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-14) - (38633928\/6265)\/(-408)\nAnswer: 72\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*(((-3*sqrt(468))\/sqrt(12) + sqrt(39))\/(-4*sqrt(432))*3 + 0))**2.\nAnswer: 325\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3) - 17535314\/1632. Let l = r - -10744. Are 1 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 941197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -461343?\nAnswer: -461344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 323021033 (base 4) to base 14\nAnswer: 643dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 408178 * 1.1.\nAnswer: 448995.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390 = 7*b - 2*b. Suppose -7*l + b = 5*z - 3*l, -2 = -l. Let n be (1 - -40 - -1)*(357\/(-63) + 6). What is the greatest common factor of n and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409153?\nAnswer: 409153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r - r + 3*r + 0*r - 2*r + 0*r + (-3*r + 3*r + 2*r)*(-1 - 5 + 4) - 5*r - r + 5*r + 2*r - 6*r + 2*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1766957 to the nearest integer?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7688, -37, 3 in increasing order.\nAnswer: -37, -2, 3, 7688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42 or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(((-6)\/(-4))\/1)\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -132315134 and 0.27.\nAnswer: -132315133.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 50929 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002100 - 101?\nAnswer: 2001222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 1 + 1)*(0*y**2 + y**2 + 2*y**2) + (-7 + 3*y + 7)*(0*y**2 - y**2 + 3*y**2) - 4*y**2 + 4*y**2 - 2*y**3.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/14*(-8 - -1). Let y = b + -1. Let i be y\/5 + (8\/5 - 1). What is the third smallest value in -5, i, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4.2 (b) 0.2 (c) 5 (d) 0.1 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114 + -107. What is the units digit of 1\/l*-1 - 60350\/(-70)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 6. Let t be y(8). Find the third derivative of -b**5 - b**2 + b**5 + 5*b**5 - 2*b**t wrt b.\nAnswer: 300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 62 = 4*z + 70, 274 = 5*h + 4*z. Is 29 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18167 - 3626 + 5*y**4 + 20422 - 870*y**3 - 8057*y**2 + 46762*y**2 + 2017 - 74820*y.\nAnswer: 5*(y - 86)**2*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 3*u**2 + 6*u - 6. Is 34 a factor of r(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from {d: 5, m: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1109 + 8436. Round t to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4099 + -4100 + (70 - -1).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) 3 (c) -166839\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 513322.47 + -0.188343\nAnswer: 513322.281657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 595865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267 - 243 = 8*d. Solve 0 = 2*s + 4*j + 2, d*s - 3*j - 4 = -2*j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 10*s**2 + 5*s - 19. Let c be i(9). Let n = -108 + c. List the prime factors of (-2)\/(2\/32*n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 46159, 184607, 415355, 738403, 1153751?\n\"Answer: 46150*f**2 - 2*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -3*r. Suppose r*y - 21 - 3 = 0. Solve 0*w - 3*w - y = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from flfili.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -12834, 3, -3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -11\/2*d**2 + 0*d + 2. Let s(u) = 4*u. Give 8*s(c) + 3*z(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 + 0*x**3 - x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one quarters of a millennium?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**3 + 496*t**2 + 209*t - 3?\nAnswer: 6*t + 992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21044 - -21039. Suppose 6 = 5*d - 4. Sort -3, -1, d, n in increasing order.\nAnswer: n, -3, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39*(-14)\/455)\/(6\/150*-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**3 - 4*j**2 - 4. Let l be 9 - (-8 - (1 + -6) - -3*3). Give v(l).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2*k - 8 = -4*k, y + 4*k + 11 = 0. Let r(h) = h**2 - 10*h + 12. Let d be r(y). Which is the smallest value? (a) 2\/15 (b) -2\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.3 - -8. Which is the biggest value? (a) z (b) 2\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.2195417 to three decimal places.\nAnswer: -5.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 5*i + 50, -5*i - 32 = -938511*r + 938511*r + 23 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 8*p + 120. Let w be a(-15). Sort -15, 5, -3\/5, w in descending order.\nAnswer: 5, w, -3\/5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/12)\/5 - 50\/136\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3365 (base 8) to base 15.\nAnswer: -7db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 305299763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -310 (base 5) in base 8?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*j**3*r**3 - 44*j**3*r**2 + j**2*r**3 - j**2*r wrt r?\nAnswer: -42*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*a = 14, -y - a - 2*a = 2. Suppose 17*g + 280 = 21*g. Let t be (14\/42)\/(2 + g\/(-36)). Which is bigger: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4258 = -4*o - 2589, 0 = 2*u + 3*o - 2748. What is the remainder when u is divided by 98?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26144 - 17033. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (72\/(-432))\/((-2)\/(-12)). Solve s = 3*p + 2*o - 3, -2*o - 5 = -0*p - 5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23764, -23094, -22424, -21754, -21084?\n\"Answer: 670*j - 24434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 6. Let g be i(0). Let k = -3 + g. Let v be (24\/(-18))\/(1\/(-9)). Solve k*c - v = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.211 + 104.211. Let n = m + -105.02. Round n to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**2. Let t(q) = -2*q**2 - 5*q + 5. Let i(c) = -3*c**2 - 7*c + 7. Let u(k) = -5*i(k) + 7*t(k). What is -2*h(n) + 9*u(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*n - 36*n + 70*n - 2)*(2*n + 1 - 2 + 2).\nAnswer: -6*n**2 - 7*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(32\/6))\/((-156)\/(-32)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-30)*25\/(-90)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/3 (b) 1 (c) 3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 6*v**2 + 6*v + 7. Let d be n(7). Suppose z = -d*z. Solve 2*g - 4*g = z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1124 - -1124.5. Which is the third biggest value? (a) 3.66 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*1779.\nAnswer: -889.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4\/3 + 46*n**3\/3 - 86*n**2\/3 + 14*n = 0. Calculate n.\nAnswer: 0, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-24)\/(-28) - (10549\/(-98) - -5))*218?\nAnswer: 3, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b\/(b\/b**(-11\/4)))*b)\/b)\/((b\/b**(-1\/3))\/b))**47)**(3\/32) assuming b is positive.\nAnswer: b**(1927\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b = -5*b - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 28\/(-70))\/((-8)\/(-10) + 0)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + j = -2*a + 84, 2*a - j = 99. Suppose 4*s - a = -4*m - 0*s, 4*m - 56 = -2*s. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(108))*4.\nAnswer: -4 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/(-28))\/(1\/(-208)). Let y = -102 - r. Let b(k) = 4*k**2 - 7*k**2 - 3*k**y + 5*k**2. Let c(s) = -12*s - 2. Calculate c(b(z)).\nAnswer: 12*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1028, -1045, -1078, -1133, -1216, -1333?\nAnswer: -1490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 4*n + 5*b = 2536, -3*b = n - 1272. What is the highest common divisor of 84 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26365698 and 24?\nAnswer: 105462792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbbwpbpw. Give prob of picking 1 p and 2 w.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -12*n - 6363. Let w = n - -701. Put 2, -1\/5, w, -0.1 in ascending order.\nAnswer: w, -1\/5, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400\/4600 + -1 + 6 + (-23)\/((-2116)\/(-192)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -12711\nAnswer: 5\/12711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 a factor of 186791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150701453.\nAnswer: 7, 21528779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2089\/2 + 1069. Let r = c + -25. Suppose 2*b + 8 + 0 = 0. What is the nearest to 2\/7 in r, b, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + g + 184 + 666 = 0, g = -4*b + 680. What are the prime factors of b?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/43 (b) 4\/3 (c) -0.4 (d) 8\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 6:29 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4 = -0*g. Suppose -g*f = -q + 8 - 26, q + 5*f - 27 = 0. Solve -q*r + 5 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93 (base 14) to base 12.\nAnswer: -a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -820*t = -816*t - 52 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -29*d**2 + 7*d - 54. What is the first derivative of y(g) wrt g?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 85*x. Let b(y) = -28*y. Calculate -8*b(n) - 3*k(n).\nAnswer: -31*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeqeweqqqewqqtqqtq. Give prob of picking 1 w and 1 e.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/12)\/(2\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*-1)**2*5 + -1 - (sqrt(99)\/(sqrt(18)\/sqrt(2)) + sqrt(77)\/(sqrt(7)*1) + 4).\nAnswer: -2*sqrt(11) + 2690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = o. Suppose 0 = 6*b - 5*b + o. Let g(y) = -y + 4. Let z be g(b). Let p(i) = -i**2 + 8*i - 2. Calculate p(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*q + 6, -13*g + 10*g = -5*q + 10. Which is the closest to g? (a) -3\/5 (b) 0.11 (c) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*17\/((-3332)\/364)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 4.5. Let u = x - -0.5. Sort 3, u, 4 in descending order.\nAnswer: 4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 21*c - 88. What is j(16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 484, 3\/7, 3, -1655?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 times 9?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/(-30))\/((8\/(-6))\/(-2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 49 in -3\/5, 175, 0.7, -2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -11*l. Let j(q) = 22*q. Let w(o) = -4*j(o) - 7*y(o). Let s(z) = -21*z. Give 4*s(d) - 7*w(d).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**3 + 10*n**3 - 19*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19026 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + -7372116816355.\nAnswer: -7372116816387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2688 < 8065\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2725 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: Find j, given that 4*j**4\/3 - 14*j**3 - 70*j**2\/3 - 8*j = 0.\nAnswer: -1, -1\/2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 10) to base 13.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(24 + -13))\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 z when three letters picked without replacement from ztztzzzttt.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + sqrt(2448) + 1) + 5 + (-3*(sqrt(2448) + -2*sqrt(2448)) - (sqrt(2448) - (-1*sqrt(2448) + sqrt(2448))*5)) + -5)**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g + 75. Let r be x(14). Suppose -2*b - 2*b = 0. Suppose 0 = -j, 3*h + j - 4*j - 39 = b. Solve -5*m + 3*w - 17 = 4*w, m + r*w = -h for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 3:55 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6366 divide 3185365714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1200030223 (base 5) to base 11\nAnswer: -15a9918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/20*(-10)\/(-5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -811 divided by 7.\nAnswer: -811\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 113, -4 in descending order.\nAnswer: 113, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*a + 169*a + 12 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -367 + -683. Let q be (6\/(-7))\/(10\/x). What is the highest common divisor of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -6 + -10 + -1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6611.5nm in micrometers?\nAnswer: 6.6115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.06 in -0.5, -5, 41\/5, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -57*u - 2. Is o(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2278, 4, -4, 6, -1 in increasing order.\nAnswer: -4, -3, -1, 4, 6, 2278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u = 4. Let d = 5 + u. Suppose 0 = 2*s - s - d. What is the highest common factor of 8 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 4 - (-1 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*g - 3*g + 18 = 0, -42 = -4*o + 3*g. What is the greatest common factor of 132 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 20 + (-1 - -3) + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3874 by -4.\nAnswer: 1937\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 288, 328, 456, 720, 1168, 1848, 2808, 4096?\nAnswer: 5760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5)\/1 - -61) + 3.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*o**4 - 23*o**4 - 16*o**4 + (-3*o + 3*o - o**4)*(-3 + 0 + 6) to v*o**4 + d*o + p + g*o**2 + t*o**3 and give v.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snsnsss. Give prob of sequence ssn.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 1028. Let w = -675 - a. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**3 + 4*i**2 - 4*i + 3. Let c(q) = 5*q**3 - 7*q**2 + 7*q - 5. Let y = 757 + -764. Calculate y*o(m) - 4*c(m).\nAnswer: m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 3*c - 1. Let g = -96 - -90. Calculate b(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2275*h - 42*h**2 - 4 + 2279*h + 4 to the form j + u*h + x*h**2 and give x.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4284?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5\/4 - (-4)\/16\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 33153?\nAnswer: 33154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38 + -138?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**(-3\/10)\/(s**3*s*s\/((s\/(((s*s**(-2\/3))\/s)\/s)*s)\/s))*(s\/(s\/s**(2\/21)))\/(s**(-4\/9)\/s)*(s**(-1\/2)\/s)**(-30) assuming s is positive.\nAnswer: s**(27661\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33826.\nAnswer: 2, 13, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*u**2 - 6*u**2 - u**2 + 2 + 2*u**3 to n + r*u + k*u**3 + s*u**2 and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 531\/((-18)\/6)*(-570)\/(-1710)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*p**4*x - 2*p**4 + p**3*x - 52*p**2*x + p*x wrt p?\nAnswer: -1464*p*x - 48*p + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90 by 1.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*r + 8*r + 10 + r)*(13 + 15 - 12).\nAnswer: -32*r + 160","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -77, -249, -583, -1133, -1953, -3097, -4619?\nAnswer: -6573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 207757 less than -6992?\nAnswer: -214749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 4461913 and 1\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*p + 10. What is the remainder when 38 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, f: 12}. Give prob of picking 1 g and 2 f.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*y**3 - 17*y**2 + 3053 wrt y?\nAnswer: -39*y**2 - 34*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 5:30 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -256990*6\/(-198) - -7. Let l = k + -7794. What is the common denominator of l and -77\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/sqrt(275) + 4 - (sqrt(190) - ((-2*sqrt(190)*2 + sqrt(190) - sqrt(190)) + sqrt(190) + sqrt(190)))\/sqrt(10).\nAnswer: -14*sqrt(19)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -10 (b) 21 (c) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(180) + -1)**2 + (-4 + (1*sqrt(405) - sqrt(405) - sqrt(405)))**2.\nAnswer: 36*sqrt(5) + 964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 257180 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**32\/z*z**(-2\/11)\/z)\/((z**6*z*z)\/z**2))**(8\/13) assuming z is positive.\nAnswer: z**(168\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 63*z - 21*z - 220 + 131 + 128. What is u(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687936798 to the power of 1\/2, to the nearest integer?\nAnswer: 26229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 - 2*b - b**4 - b**2 + 5584*b**3 + 62 - 5582*b**3 to the form v*b**3 + f*b**4 + g*b + y + z*b**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07 + -5.07. Let q = -178398 + 178406. Which is the closest to 0? (a) -2 (b) d (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15.7, 4, -4 in decreasing order.\nAnswer: 4, -4, -15.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(1\/5))**22\/(v**(-8)\/v**(-2\/39)) assuming v is positive.\nAnswer: v**(4982\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -45*-255\nAnswer: 11475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8708037?\nAnswer: 3, 13, 223283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -1. Let q be ((-24)\/22)\/(2\/11). Let b(c) = 3*c - 5. Calculate q*i(w) + b(w).\nAnswer: 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -91)*(-258 - (-1054412)\/4088).\nAnswer: -45\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*m + 93*m + 18588*m**2 - 29*m - 32*m.\nAnswer: 18588*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is db3 (base 14) in base 15?\nAnswer: c05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -1.9, -4, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1748.65 - -148939.6.\nAnswer: 147190.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 3*f**7\/70 + f**5\/12 - 5*f**2 + 11. Let l(w) be the second derivative of k(w). Find the third derivative of l(a) wrt a.\nAnswer: 216*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1930501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 11*j - 12*j. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 + 10050942*a**2 + 8418402669012*a - 84185031787320.\nAnswer: 3*(a - 10)*(a + 1675162)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 4. Let g be d(3). Suppose 5*u - g = 2*v, -22 = -2*u - 2*v - 2*v. Suppose 0 = -u*c - 2 + 14. Solve -c*b + 10 = -2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*w - 6157 = 9220 + 5766 - 5962 for w.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/(-3*(sqrt(3) - (sqrt(3) + sqrt(3) + sqrt(27)))))\/(6*sqrt(80)*-1) + -3.\nAnswer: -3 - sqrt(5)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + -1 + 0 + sqrt(147) + -5 + -2 + 2)*-2.\nAnswer: -14*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -47622 divided by -7937\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(343)*-2*-2)**2 + ((sqrt(84) - 3*sqrt(84))\/sqrt(12) - 6*-1*sqrt(7)).\nAnswer: -220*sqrt(7) + 5504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1604827098?\nAnswer: 2, 3, 7, 17, 749219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -10. Suppose 0 = -a + y*p + 7 + 3, 5*a = -2*p - 16. Which is smaller: a or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 232.0753 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7304 is divided by 174.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(39*116)\/6. Let y = v - -1092. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3173, 3177, 3183, 3191, 3201, 3213, 3227?\nAnswer: 3243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -219 - -207. Let s be 20\/3 - a\/(-18). Solve q - 3*q = s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 39 = 16*m. Let i(g) = -2*g**3 + 7*g**2 + 2*g - 9. Calculate i(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3)\/(c*c\/(c\/(c\/(c**(-1\/2)\/c*c)*c))*c))\/(c*c\/(c\/((c*c\/c**(-2)*c)\/c*c))*c*c\/(c*c**(-1))) assuming c is positive.\nAnswer: c**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -1\/15*r**3 - 1\/30*r**4 + r**2 + 0*r + 1\/50*r**5 + 0. Find j, given that z(j) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**6\/6 - b**5\/2 - 5*b**4\/12 - 2*b - 3. Factor j(o).\nAnswer: -5*o**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 50 = -100. Let q = 43 + l. Suppose -2 = -3*c + q. Solve 5*n - n - 2*g = 18, -17 = 4*n + c*g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 11*h + 32. Let t be i(-13). Let g be t + -5 + (-6)\/8. Which is the nearest to -3\/5? (a) g (b) 0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 1379*t**3\/3 + 2523*t**2\/2 - 35. What is the second derivative of b(h) wrt h?\nAnswer: 2758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 529460 = -8*i - 5*t + 529188, 3*i + 4*t + 204 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**3 - 5*a + 143. Determine g(0).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6078842 (base 11) in base 6?\nAnswer: 1022134255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1. What is the smallest common multiple of 10 and 18 - (3 - (y + 5))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (572\/(-14352))\/(8\/(-42)) and -37\/46.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 3:10 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12632573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4*(-12)\/32).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 1 + 2*s**3 - 2*s**2 + 5*s**2 - s - 2*s**2. Let j(w) = -w + 2. Let t be j(4). Calculate r(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -26*b - 4. Let d(f) = -132*f - 20. Calculate -3*d(s) + 16*l(s).\nAnswer: -20*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*r - 78*r - 8596 = 258*r + 116*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**0)**(-35)*u**0\/(u*u\/u**9*u))\/(((u*u**(-2\/3)*u)\/u)\/(u\/u**4*u*u)*(u*u**1*u*u)**17) assuming u is positive.\nAnswer: u**(-295\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -1. Let r(q) = q**3 + q. Let n(l) = -3*l**3 - 2*l**2 - 2*l - 1. Give a*n(h) - 2*r(h).\nAnswer: h**3 + 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 11:43 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2797 + -2749.88. Let z = x + 0.88. Let m = z - 45. Which is the fourth smallest value? (a) -3 (b) 0.2 (c) -0.5 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-1034 + 1025 + (12 + 0 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 11*n**2. Let t(j) = -3*j - 1117. Determine q(t(l)).\nAnswer: 99*l**2 + 73722*l + 13724579","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1781 or 1782?\nAnswer: 1782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*r - 8, -s = 2*s - 2*r - 13. Let y = -107 + 116. Suppose -b = -y*b + 16. Solve -b = -s*o - 14 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7459?\nAnswer: 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19445957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1664 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3*x - 2*g, 0 = -2*x - 5*g + 41 - 18 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 968 - 966.9426. Round a to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/4938 and 53\/18.\nAnswer: 14814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v + 1256. Let j(f) = -9*f**2. Determine j(k(i)).\nAnswer: -81*i**2 - 67824*i - 14197824","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 73059499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 - 114\/((-1368)\/(-492)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1125480126 to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express h - 405 + 997 + 159 + 1680 + 733 as i*h + o and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 7:43 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(512) + 1 - sqrt(512)) + -3 - sqrt(512)) + (-4*(0 + sqrt(512)) - sqrt(512)*2*-6) + 0 + -5)**2.\nAnswer: -1760*sqrt(2) + 12921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 899*a. Let m(y) = 2*y. What is m(u(s))?\nAnswer: 1798*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) - (sqrt(891) - (-2 + sqrt(891)))*-6)*3)**2 - (5*-1*sqrt(891) + (sqrt(891) - (2*sqrt(891) - sqrt(891)))*3)**2.\nAnswer: -12960 + 1944*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 - -13425?\nAnswer: 13353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 8*u - 4. Let c be g(7). Suppose -9 = -c*f + 3. Suppose -f*x = -38 - 26. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -12*u + 172. Suppose 38*w + 3445 = u*w. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 o when two letters picked without replacement from kvozhbvb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.7 or 19225.7?\nAnswer: 19225.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 3*y**2 + 4*y + 3. Let h be k(4). Suppose 20 - 5 = h*j. Suppose -3*o + 0*o = -4*u - 193, -j*u = 4*o - 278. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 - 5499 + 7*o**2 - 4*o**2.\nAnswer: 3*o**2 - 5541","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -2\/11, 0, 4, -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 35.99. Let l be (8\/50)\/(4\/10). Which is smaller: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 1, 4900, -1 in decreasing order.\nAnswer: 4900, 3, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*j - 82*j**3 + 29 + 80*j**3 - 16 + 66*j**2 - 12 to the form s*j + h*j**3 + r + p*j**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + o + 1. Let r = -50 + 116. Suppose -68*c + 71*c = -r. Let y(v) = -10*v**3 + 11*v + 11. Let f be 2 - (-1 + 0) - 1. What is c*m(i) + f*y(i)?\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/1036 and 117\/308.\nAnswer: 11396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/3))**36*((k\/k**(-2\/7))\/k)**(15\/7))**(3\/7) assuming k is positive.\nAnswer: k**(-1674\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*r - 396 = 0, -4*v - 243 - 81 = 5*r. Let s be v\/(-18) - 6\/27. Suppose -116*y - 63 = -109*y. Put s, -5, y, -3 in descending order.\nAnswer: s, -3, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45275\/4200 - (-3)\/24) + 48\/504?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f**2 + 112*f + 62. What is x(-22)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*l - 7 - 4, -3*l = 4*v - 24. Suppose -3*j = l*h - 0*h - 11, 3*j + 3*h = 15. Calculate the highest common divisor of j and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 - a**4 + 4 - 2*a**2 - 4*a**2 + 1 to the form m + h*a**2 + f*a**4 + k*a + i*a**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.197 - -0.053. Let d = -0.25 + k. Let x = d - 15.00000007. Round x to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4179 and 398?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3*w + 33 = 0, -11*w = -3*x - 9*w + 26 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25865 is divided by 92?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -40361273 to the nearest one million.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1514, -1500, -1486?\nAnswer: -1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011898407 to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11\/11)\/(3\/36). Let r(k) = -k**2 + 14*k - 18. Give r(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**5\/240 + d**4\/16 + 3*d**3\/8 - 3*d**2 - 5*d. Let a(j) be the first derivative of c(j). Factor a(w).\nAnswer: (w + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 128392504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 10*j - 2. Let i be g(-10). Let f be -2 + i*(-13)\/14. Is f greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22464 divided by 2808\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 10*b**2 - b + 10. Let r be t(10). Suppose r*s = -5*s. Let j(n) = -n**3 + n**2 + 6. Is 3 a factor of j(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.5, -2\/9, 1\/140, 8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/3)\/((-14)\/((-2)\/1)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 2, -6.6, -99, 17, -0.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3446470 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9508 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00166785 rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(125))**2 + -1 + 1 + (sqrt(125) - (sqrt(125) + -4)**2).\nAnswer: 45*sqrt(5) + 1859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1630427?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 66329 - -0.3005508\nAnswer: 66329.3005508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(-11 - 4 + 3)*(2*j + 1 - 1).\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/3 + (-606)\/(-9). Let g = j + -341\/5. Let t be -1*1\/10 - 150\/(-250). Which is the closest to -1? (a) t (b) g (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**33)**7 assuming s is positive.\nAnswer: s**231","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k. Let o be g(-4). Let r = 0 - o. Let z = -14 + 9. Which is the third biggest value? (a) z (b) -0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/12 + 1 + 340\/51?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88.473385 + -55.47347. Let u = l + -33. Round u to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b + 50*b - 44*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 979462572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k + 18. Let l be t(-3). Let i(v) = -2 - 1 - 6*v + 41*v + v**2 + v**l + 19*v**2. Is i(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3404 + 3058319.\nAnswer: 3061723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 20632*y + 359. Is a(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1065316 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 28. Suppose -l + 4 = -s*l - x, -4*x = -2*l + 16. Suppose -2*n + 3*y + 7 + 16 = l, -5*y - 5 = 5*n. Solve -n = c + c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.6845836us in weeks?\nAnswer: 0.000000000083803875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/15)\/((-4)\/5). Let w be (2 - 22\/3) + -9*(-22)\/594. Which is the closest to -2\/3? (a) o (b) w (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 11:57 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 5*p + 4*p + 39*p**3.\nAnswer: 39*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17191199\/171 - -100533. What is the common denominator of c and 89\/8?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -73*t + 344. Does 26 divide p(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.99 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-9.744.\nAnswer: 0.9744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 3\/15 - (-1195389)\/(-170)*-4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-174)\/290)\/(-3*3\/6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 8:59 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 19*t**2 - 8*t. Let q be u(0). Solve 3*k - 4*k + i - 2 = q, -8 = 3*k - 2*i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(432) - -2*(-2 + sqrt(432)) - sqrt(432)*-1*5))**2*6 + -3)*1.\nAnswer: -10368*sqrt(3) + 166371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 19*x**2 + 62*x - 101. Give z(-22).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76862234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14273 - 11605. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 426314218*l - 45435953117237881.\nAnswer: -(l - 213157109)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -29, 2425, -4 in descending order.\nAnswer: 2425, 4, 0, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 89, 3, -149, -385, -723, -1181?\nAnswer: -1777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0113 + 0.5123. Let w = n - -0.099. What is the biggest value in 5, w, 0.4, -17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003956 rounded to 7 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5830 plus -5.4?\nAnswer: 5824.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -298*x**3 + 187*x**2 - 11*x - 198. Is p(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y - 90. Suppose 5*u - u - 80 = 0. Is 10 a factor of b(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - 2 - (-6 + 4 + 5 + -8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-5)\/(-9))\/((-1735)\/2082))\/(20\/(-54))\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84 or -178\/57?\nAnswer: -178\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 905 a factor of 702290296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2299) + 1)**2 + -4)*-6 + 4 + (sqrt(2299) - (-1 + sqrt(2299))*-3)**2 + ((sqrt(2299)*1 + sqrt(2299))*-5)**2 + 1.\nAnswer: -396*sqrt(19) + 252922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14150.0209 rounded to the nearest 100?\nAnswer: 14200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 62*o. Let z(k) = 63765*k**2 - 25. Give b(z(n)).\nAnswer: 3953430*n**2 - 1550","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -31*s - s**3 - 11*s**2 + s**2 + 16 + 43*s**2. Calculate the remainder when j(32) is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 16 = 2*x, 9 = -5*v - x + 41. Solve v*t = -11*t + 68 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -311333230 + -3?\nAnswer: -311333233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89814, 179614, 269416, 359220, 449026, 538834, 628644?\nAnswer: 718456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 235*g**3 - 8*g**2 + 13. Let c be f(6). Suppose 26*r - c = 3*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 3*t + 6856, -5472 = 4*y - 4*t - 0*t. Is y less than -1370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/5)*d\/((d\/((d*((d\/d**(-11)*d)\/d*d)\/d)\/d))\/d)*d**(1\/9)*d*d**9 assuming d is positive.\nAnswer: d**(1013\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*u + 81, 4*m - 5*m + 21 = -u. Let z = 23 + u. What is the least common multiple of 6 and z*((-48)\/(-28) - 2)*-7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - 3*a + 0*a + (-13*a + a + 9*a)*(0 + 1 + 0).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*s + 26 = 0, p + 2*s - s = -1. Let t be p\/10 - (-52)\/20. Suppose -r = t*r. Are -1 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205 divided by -1325202.\nAnswer: 5\/32322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*(g**1*g)\/g)*g**11*g**(-2\/21)\/(g*g\/(g\/g**(1\/5)*g)) assuming g is positive.\nAnswer: g**(1019\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4673.\nAnswer: 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 195145720, 195145716, 195145712?\n\"Answer: -4*s + 195145724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017509 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 680 + 1 - 27\/(-3). Solve -2*g - s + 682 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/548 and -29\/19.\nAnswer: 10412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from {t: 1, u: 1, g: 1, v: 2, y: 3, o: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 13\/13*(-13)\/(-3)*63\/(42\/14)\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 9*g + 28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a - 26*a**4 - 14*a**4 + 30*a**3 - 5*a - 143934*a**5 + 143949*a**5.\nAnswer: 5*a*(a - 1)**3*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 13. Let w(z) = 5958 - z - 5958. Give w(v(a)).\nAnswer: -2*a**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + (-4)\/(-11))\/2. Let o(d) = -d**3 - 5*d**2 - 3*d + 5. Let m be o(-4). Which is the closest to m? (a) -2\/5 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32729 - -32739. What is the smallest common multiple of m and (-1 - 67)*(-2)\/4?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/8 - (-23)\/4. Suppose -w*v + 4*v + 10 = 0. Suppose v*x = g + 25, -x + 29 = -5*g - 0*g. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12487*r**5 + 7*r**4 + 471*r**3 + 134693989*r - 1 wrt r.\nAnswer: 249740*r**3 + 84*r**2 + 2826*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001847853 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 443910 - 29214455. Let w = o + -9554109. What is w rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, -13, -7943.78, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-167160)\/3040 + 31 + (-14)\/1064?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, 1.3, 6?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2700828.\nAnswer: 2, 3, 13, 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 2 - (-3 - -7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(88)\/(4*sqrt(8) + sqrt(8) + sqrt(8))) + sqrt(11) + sqrt(1584) + sqrt(1584) + -3)**2*-2.\nAnswer: -264599\/18 + 310*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -183 + 182.94. Which is the closest to y? (a) 5 (b) 0.3 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4700*k - 121158 = -47797 + 415439 for k.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*n + 78*n + 2*f - 13 = 0, 3*n - 20 = 5*f. Suppose -2*m + 78 = -18. Suppose m = 4*b + n*g, 0 = -g + 3*g - 8. Solve l - b = 3*v, 0*l = l + 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3 = 2*t + 3*a, -4*t = 4*a. Suppose t = z - 5. Solve w + 4*l = -z, w + 0*l = -3*l - 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqo when three letters picked without replacement from {o: 3, g: 4, q: 6}.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 + 2*h**4 + h**4 + (-h + 0*h - 2*h)*(2*h**3 + 1 - 1) + 3*h**4 + h**4 - 2*h**4.\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + -4 + (sqrt(405)*2)**2 + (3 + sqrt(405) - sqrt(405)) + -5 + (sqrt(350)\/(sqrt(70)\/sqrt(7)))\/(sqrt(7) - 2*sqrt(567)).\nAnswer: 152*sqrt(5)\/17 + 1614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 122 * 5.461151.\nAnswer: 666.260422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 1:13 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1681)\/(-2))\/((-15)\/(-30)). Let u = 1258 + m. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*m = 14, -4*l + 3*l + 34 = -5*m. What is the least common multiple of 33 and l?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1357992 and 2036988.\nAnswer: 4073976","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 123\/18 + (0 - -1). Let i = -8 + j. What is the common denominator of 75\/16 and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**3\/9 + 118480*w**2\/9 - 44821588*w\/9 + 1422175304\/3 = 0.\nAnswer: 191, 29238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 148*l**3 + 2*l**2 - 2*l + 1. Let u be f(1). Suppose -142*q = -u*q + 8022. List the prime factors of q.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 704, 9, 8 in decreasing order.\nAnswer: 704, 9, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38615 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 23, -3, 5, -4, 8 in increasing order.\nAnswer: -5, -4, -3, 5, 8, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 0 - 26*y**2 - 1\/240*y**6 + 1\/15*y**5 + 0*y + 0*y**3 + 11\/24*y**4. Let l(u) be the second derivative of k(u). Give l(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 1075.\nAnswer: -107.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 179 - 64. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2. Let m be 7 + -2 - (-15)\/(-3). Let r(o) be the second derivative of 6*o + 0 + 1\/12*o**4 + m*o**2 + 0*o**3. Determine g(r(i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 k when four letters picked without replacement from yllikykkknklliyhkii.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 320830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2190 divided by 5.\nAnswer: -438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322 = 6*h + 268 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - x**2 + 2*x + 31. Let q be u(0). Suppose 568 = q*f - 23*f. Put f, 1, 5 in decreasing order.\nAnswer: f, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*g, 3*o + 11 = 3*g - 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 1. Let c(z) = z. Suppose -4*f - 1 = -y - 3, -f + 3*y = 5. Let x(p) = f*c(p) + 2*g(p). Find the first derivative of x(w) wrt w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 125821*q**2 - 1 - 43583*q**2.\nAnswer: -169404*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11.1486 (b) -0.1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -48561975 divided by -7\nAnswer: 6937425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -7*g - 229. Let n(a) = -a - 77. Let u(y) = 11*n(y) - 4*q(y). What is u(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -u - 3*u. Suppose f - 6 + u = 0. Let c = f + 16. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**4\/2 - k**3\/3 - 51*k**2\/2 + 66. What is the second derivative of r(s) wrt s?\nAnswer: 12*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.8, -9.8, -0.3, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65175 and 4675.\nAnswer: 1107975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**3 - 2*u**2 - 2*u + 1. Suppose 0*z - 9*z + 918 = 0. Let c = 104 - z. Let v be k(c). Solve n - 3*w + v = w, 3*w = -3*n - 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.33 - -0.13. Which is the nearest to -2\/9? (a) 0 (b) -1 (c) 4 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, h: 4, s: 4, p: 3, q: 1, t: 1}. What is prob of picking 1 p and 1 i?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 990176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-194)\/97)\/(-4*1*1\/(-22))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 1213371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -11*j**4 - 10*j - j**2 + 4*j + 0*j - j**3. Let s(n) = -n**3 - n**2 + n. Let d(b) = -s(b) + y(b). Find the second derivative of d(g) wrt g.\nAnswer: -132*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ws when two letters picked without replacement from {q: 1, w: 2, s: 2, x: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 8 + 3 + -7 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7088\/237 less than or equal to -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*a - 0. Let n be a\/(3\/(-6)*-1). Suppose n*j = -2*z - 1 + 9, 5*j + 35 = 5*z. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -9329335*n + 10727. Let r(i) = 6957*i - 8. Calculate 8*d(h) + 10727*r(h).\nAnswer: -6941*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8108 or 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8158 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.51 - 32.49. Let p = -32.6 - f. Which is the second smallest value? (a) p (b) 2 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -364711743.\nAnswer: -364711742.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5886592 to the nearest integer?\nAnswer: 2426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 22. Let z(o) = -2*o - 4. Let v be z(-3). Calculate the least common multiple of j(0) and ((-1)\/(-1))\/(1\/v).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 149\/36? (a) -2 (b) -0.4 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*2*sqrt(825) + sqrt(825))\/(((3*sqrt(729) - sqrt(729)) + sqrt(729) + sqrt(729))\/sqrt(3)))**2.\nAnswer: 33275\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72572 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 822 and 959.\nAnswer: 5754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 75212083?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 377\/(-65) - -5. What is the nearest to -52 in -1\/3, 0.5, c?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/960 and -109\/800?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -107 (b) 2\/11 (c) 32\/17 (d) 0.07 (e) -1\/3 (f) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107 - -132. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u**3 + 2*u + 2. Let h(w) = -w**3 + 3*w**2 - 3*w. Let t be h(2). Let x(d) = -5*d**3 + 3*d + 3. Calculate t*x(i) + 3*v(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-13)\/5824*2)\/(24\/(-434)) and -17\/56?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-10)*z*z)\/z**(-2\/15))**40*(z*z\/z**5*(z\/(z\/(z**2*z*z)*z))\/z)**(2\/25) assuming z is positive.\nAnswer: z**(-20606\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/8150298 and -91\/5015568.\nAnswer: 65202384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 11043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 110?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 310633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288852894?\nAnswer: 2, 3, 11, 132623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by -3*(-3)\/(-3)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 23*a. Let o(w) = -2*w. Determine h(o(z)).\nAnswer: -46*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 9*f = 0. Let d = 24 + -16. Suppose f*v = -v + d. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2*d + 6, o + d = -4*d + 19. Let p be (-1 - o) + (1 - -54). Suppose f - 2*f = 3*j - p, 4*j - 60 = -4*f. Solve 2*z + j = -2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -11*w - 77. Let f be u(-5). Let n(b) = 2*b**3 + 46*b**2 + 30*b + 32. What are the prime factors of n(f)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r + 1 + 17 - 13 + 22 to the form i + a*r and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104.923 + 105. Let o = d - 0.07699815. Round o to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6*g**2 + 127*g + 113. Give j(22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2464 - -82. Suppose -n = -5*a - 2*r, a + 3*r = 2*r + 508. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 8:42 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 37\/5 of a centimeter?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**3\/6 + 3*z**2\/2 - 520*z. Suppose 0*i + 6 = i. What is s(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -31.768.\nAnswer: -254.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**3 - 20*s**2 + 2*s - 8. Calculate c(7).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*x = 70*x + 2*q - 13, x - 13 = 8*q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129672 less than 3?\nAnswer: -1129669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -35*n + 20. Let l be k(-5). Find the third derivative of 38*u**5 - 38*u + 70*u**5 + l*u**3 - 195*u**3 - 5*u**2 + 39*u**5 wrt u.\nAnswer: 8820*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 2) + 8 - 0. Suppose 0 = -4*k - x + 19. Suppose 2*q - 18 = -y, q + q - 5*y - 6 = 0. Calculate the remainder when q is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -5*i**6\/6 + 4*i**5 + 365*i**4\/4 + 280*i**3\/3 - 330*i**2 - 3473. Suppose n(o) = 0. What is o?\nAnswer: -6, -2, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q + 12 = u, -4*q + 10 = u. Let j(p) be the second derivative of -p**4\/12 + p**2 + 42*p + 2. Calculate j(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 + 3)*(5*d + 3*d - 4*d)*(-8*d**3 + 21*d**3 + 39*d**3).\nAnswer: 832*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 48\/(-24) + 215\/204. Let f = s - -10\/51. Let l = 1 - 0.9. Which is the nearest to l? (a) f (b) 0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, q: 5}. Give prob of picking 2 q.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 906*v**3 - 1178*v**2 wrt v.\nAnswer: 5436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11608272 divided by -6201.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42 - 24) + -16 + -1 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) - 2*sqrt(190)) + sqrt(190))*-3 - sqrt(190))\/sqrt(10).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 440 = 4*q, -26*q - 2*l = -28*q + 216. Let t(u) = 347*u - q*u - 116*u - 117*u. Let b(z) = 11*z. Determine b(t(h)).\nAnswer: 55*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 27\/4, -4, 4 in decreasing order.\nAnswer: 27\/4, 4, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z + 13 + 17. Is -7 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68853 = 2*u + 27*r - 30*r, -2*u - 5*r = -68877. What are the prime factors of u?\nAnswer: 3, 23, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -103 + 147. Suppose 0 = -2*b + 6*b - m. Let j = -7 + b. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 4*t - 9*v + 15*v + 40, 0 = -5*t + 8*v - 40 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6387, 38765 in ascending order.\nAnswer: -6387, -1, 38765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2 = -12. Let w(s) = -s**3 + 3*s**2 + 2*s. Let b be w(-2). Let y be b\/6*(-6)\/4. Sort -2, y, q in decreasing order.\nAnswer: q, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1198628 at least -1198607?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*g*j**3 + 268*g - 31*j**3 - j**2 wrt j.\nAnswer: -36*g - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14672166.\nAnswer: 2, 3, 197, 12413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 472722779?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 4, 3\/7, 1\/6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 10. Let v(k) = 3*k - 29. Let q(y) = 2*v(y) + 7*w(y). Let t be q(10). Suppose -3*x + 7 = -t*x. Solve 5*p = -27 + x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 + (14 - -29) + -95?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*-0.068804.\nAnswer: -1.238472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121)*2*2 - sqrt(121)) + sqrt(121))\/((sqrt(121)*-1)\/sqrt(11)))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)*d*d**(-3)\/d*d)\/(d\/(d**(-1\/5)*d*d)*d*d**(1\/4)) assuming d is positive.\nAnswer: d**(-149\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 0. Suppose p*l = 2*j - 54, 0 = l + 5*j - 2*j + 31. List the prime factors of (6\/3)\/((-2)\/l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvxuuxnu. What is prob of sequence vxx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4794 - -4811. What is the remainder when 349 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-384)\/(-18))\/(-32))\/(2\/27) - (-45 + -2).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-2))\/(15\/2160*84*(-3)\/21).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -4*t - 14*q + 16, -14 = -t - 2*q for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 280 + -550. Let a = i - -461. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4164.432*-7\nAnswer: 29151.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3 = -15. Let y = 0.5 + -0.48. Let u = -2.02 + y. What is the closest to -1 in c, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 119311 + 235521 = 0. What are the prime factors of q?\nAnswer: 67, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81.6 + 83. Let t = -5.4 + n. What is the second smallest value in t, -1\/5, -0.7, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 2*s**3\/21 - 20*s**2\/7 + 200*s\/7 - 115. Suppose j(m) = 0. What is m?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-4) + (-9)\/36. Let d = l + 6. Suppose -d*i + 80 = -5*y, i + 5*y - 3 + 5 = 0. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26610802537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*c - 2*g - 2001, -1517 = -3*c - g. Let i = 5047\/10 - c. What is the common denominator of i and ((-2)\/(-12))\/(1\/5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-70)\/45)*63\/(-14) - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 79 = 5*m. Let k be 0\/1 + m + (-7 - -14). Solve 8*x - k*d = 4*x, -4*x + 3*d - 4 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-2)*(5435\/(-2174))\/((-50)\/(-72))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23784 divided by 6.\nAnswer: 3964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3968725*a**2 + 5790252*a.\nAnswer: -7937450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 708876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 42*g + 241. Let o be h(-5). What is the greatest common divisor of 5010 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*o - 31 = 3*o, -2*y = o - 21. Calculate the highest common factor of y and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-2))\/((-162)\/(-108)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -4*2\/(-4). Let m be ((-57)\/6)\/(i\/(-4)). Calculate the greatest common divisor of m and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1627845 divided by -10.\nAnswer: -325569\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-28)*(-595)\/(-850). Let j = -0.1 + 0.09. Let g = j - -0.07. Which is the smallest value? (a) u (b) -6\/7 (c) g (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((2*sqrt(171))\/sqrt(9) - sqrt(19)) + 0 + sqrt(19) + 0 + -1 + (sqrt(76) + sqrt(76)*-1*2)\/(sqrt(40)\/sqrt(160) + sqrt(4)).\nAnswer: -4 + 6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 2*f**2 + 0*f**2)*(5 + 0 - 3) - 2*f**2 + 0 + 0 + 2*f**2 - f**2 + 0*f**2 + 442 - 20*f**2 - 442 - 1500 - 2*f**2 + 0*f**2 + 1481.\nAnswer: -19*f**2 - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53359.\nAnswer: 53359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1964 in 6, 2\/7, -2\/5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 11*t + 8. Let w(k) = k**2 + 8*k - 2. Let l be w(-7). Give s(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -20*v**3 - 3*v**2\/2 - 6*v. Is l(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*v - 85*v - 13*v**3 + 28*v + 28*v.\nAnswer: -13*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-7 + (1 - 11)). Let x(a) = 23*a**3 - 23*a**2 + 17*a - 14. Let y(q) = -8*q**3 + 8*q**2 - 6*q + 5. Determine u*y(v) - 6*x(v).\nAnswer: -2*v**3 + 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/18 and -59\/105?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 - 48. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 38*h - 7. Suppose 19 = 5*m - 6. Is w(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 274\/45 - 31\/5. Let u be 1\/3*(-2)\/8*0. Let m = -3.4 + 0.4. What is the nearest to u in t, m, 3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2.54, -1\/3?\nAnswer: 2.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 13\/11 + (-32)\/176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271 = 20*b - 9. Let q be (-16)\/(6\/3) - 0. Let s = q - -24. Calculate the smallest common multiple of b and s.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1\/3, 0.1, -6886, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -114958 (base 10) in base 2?\nAnswer: -11100000100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1767091 to the nearest 1000.\nAnswer: -1767000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 309 = 258. Let w(i) = 6*i - 333. Let o be w(33). Let n = u + o. Is 31 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*p = -30*p + 432 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwooo. Give prob of sequence owo.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -9*j**3 + j**2 + 11. Let n be f(-3). Suppose -5*q + 32 = -n. What are the prime factors of q?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -1, -10, 10.\nAnswer: -10, -1, -2\/17, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - -1 - (-1 + 1). What is the units digit of 2*(6 + 2)*b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 705\/89969, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35059?\nAnswer: 35059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 26*p + 159. Let u be a(-6). Solve -5*o - 5*l = 25, -2*o + u*o = l - 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4 - 181. Let i = 6 - j. Let s = i + -39. Which is smaller: s or 13\/4?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 19}. What is prob of sequence kq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x - 538 = -484 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((5 + 3*(-1 + sqrt(832) + 1 + sqrt(832) - (sqrt(832) - ((sqrt(832)*-1 - sqrt(832)) + sqrt(832)))*-5))*2*-6)**2.\nAnswer: 414720*sqrt(13) + 155274765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524 is divided by 173?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 278446329?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1779 + 5380 - 1803 - 1798 + 2*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 56 (b) -19 (c) 4 (d) -0.1 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137377*n + 71486*n + 65925*n.\nAnswer: 34*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -10011011101110000001100?\nAnswer: 10011011101110000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnwwfffffwfffwwffwc. Give prob of sequence nx.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15693 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-18)*(6\/(-15))\/((-15)\/(-900))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 875\/4 + -1 - 0. Let q = f - 220. Do q and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 23*r**2 + 5*r - 7. Let s(z) = 11*z**2 + 3*z - 4. Give 4*g(o) - 7*s(o).\nAnswer: 15*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 4*n. Let o(j) = -407*j**2 - 44*j. Calculate 22*m(x) - 2*o(x).\nAnswer: 836*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623451?\nAnswer: 3, 71, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/567719 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*u = -64*u. Factor 0*p - 1\/5*p**4 + 0*p**3 + u + 4\/5*p**2.\nAnswer: -p**2*(p - 2)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b - 3. Let a be d(-2). Let h be (-1183)\/(-65) + 2\/(-10). Suppose 4*t - h = -3*y, 3*y = t + 2*y - 1. Solve a*o = t*r + 37, -4*r = r + 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -24*o**2. Let c(i) = -11*i**2. Give w(c(d)).\nAnswer: -2904*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 10. Suppose -6*l + 16 = -2*l. Let h(r) = -2*r**2 + 3*r + 5. Let x(g) = 595*g - 30 + 63 - g**2 + 601*g - 29 - 1194*g. What is l*x(t) + s*h(t)?\nAnswer: 2*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 - 40. Let z(d) = -7*d - 4. Let k be z(-4). What is the greatest common divisor of r and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 481 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 - 4*a - 12. Let l be b(-3). Solve -5*m - l - 7 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 30*h**2 - 85*h + 5. Does 3 divide d(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6103 at most 6101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 790*d - 296. What is the remainder when i(1) is divided by 26?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*x + 10 = 5*s + 165*x, -5*s + 30 = -x. Solve 5*k - 4*n = -s*n + 32, 5*n - 28 = -2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -0.11, 0.04, -3850, 0.5, 7\/4, -0.1?\nAnswer: -3850","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 4 + (0 + 1 + 0)*(1 - 1 - 1) - 2 + 0 + 3 - 3 + 2 - 2)*(3*q - 6*q + 2*q) to the form w + k*q and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**4 - 90*y**3 - 168*y**2 = 0.\nAnswer: -28, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4\/18 - 2128\/(-63)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + -36. Suppose 45*o = 43*o + t. Suppose 5*p - 105 = -5*b, p + 2 - 8 = -o*b. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 9*s + 3*w + 19 = 0, -4*s + 2 = 2*w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((-2 + -2)\/2). Let f be 4\/12*3 + -43. Let i = f - -125\/3. Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + -35. Let a be p\/(2*3\/(-54)). Let b(q) = -q**3 - 9*q**2 - q + 13. What are the prime factors of b(a)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1209.4 - -1322. Let q = s - 127. Which is bigger: q or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 196851, 196845, 196843, 196845?\n\"Answer: 2*g**2 - 12*g + 196861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 11*g - 48 = 4*n, -132 = 5*n + 14*g - 21*g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1717651?\nAnswer: 13, 37, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*d**2*p - 51*a**2*d*p - 29*a**2*d + 2*a*d**2 + 11*a*d*p - 15*a*d + d*p + d wrt a.\nAnswer: -2*d**2*p - 102*d*p - 58*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, -2\/3, 5, 11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1659032 - 1.166. Round d to 6 decimal places.\nAnswer: -0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11071, -11070, -11069, -11068, -11067?\n\"Answer: s - 11072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**4\/12 - 2*c**3\/3 - 2*c**2 + 40*c + 22. Let s(a) be the first derivative of r(a). Factor s(v).\nAnswer: -(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97 + -167. Let u = h - -78.1. Let y = 8 - u. What is the nearest to -1 in -0.09, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/14)\/(-13)*24\/(-4).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -23*h - 276. Let z be m(-12). Which is the third smallest value? (a) 3\/89 (b) 3 (c) z (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c + 450793 - 450793.\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 4. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) - sqrt(275)\/(sqrt(11) - sqrt(44)))*-2)\/(sqrt(35)\/(-2*sqrt(7)*-1 + sqrt(7))).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j + 25 = 8*j. Let u(p) = p**2 + p - 4. Let d(n) = n**2 + 5*n - 3. Let f(c) = 2*c**2 + 11*c - 5. Let t(k) = 9*d(k) - 4*f(k). What is j*u(v) + 3*t(v)?\nAnswer: -2*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*l**2*t**2 - l*t**3 + 122*t**3 - 2 wrt l.\nAnswer: 34*l*t**2 - t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -3. Let h be (-7)\/(-1) - (-4 + c). Is 11*h\/((-15)\/(-9)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -2 - 2) + 3. Let l(s) = -33*s + 96. Let a be l(h). Sort a, -5, 45, 3 in decreasing order.\nAnswer: 45, 3, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -250*k - 30521. Determine q(-122).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -158*d. Let m(x) = x**2 - 2. Let j(w) = -3*w**2 + 5. Let o(a) = -4*j(a) - 10*m(a). What is u(o(v))?\nAnswer: -316*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**5\/20 - z**4\/3 + z**3\/3 - z**2 - 3*z. Let t be b(4). What is the units digit of (20\/3)\/(t\/27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(60)\/sqrt(4))\/sqrt(5) - (sqrt(54)\/sqrt(2) + (sqrt(60)\/sqrt(2))\/sqrt(10)))**2 + -1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12 * -0.980656\nAnswer: 11.767872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6603 + -6598. Solve -x = -4*q - 3*b - 13, -3*q = 4*b + 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**2 - 240*w - 2880 = 0. Calculate w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (46\/4)\/((-5)\/(-10)). Let p be ((-4)\/8)\/(2\/(-24)). Let r be (p\/1)\/(-2 - -3). Solve r*c - 3*c + 4*k = i, -c - 1 = -3*k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2451)\/33 + -2 + 1839\/(-33) + 29 + 27?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 3 + 4)*(-9)\/5\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*2)\/sqrt(4))\/(sqrt(99)*1).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -285 <= 317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 15. Let k be w(-8). Suppose k*u - 2*u = 5*v + 221520, 44284 = -v - 4*u. What is v rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2769232922 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 6*t = -5. Let j(q) = -2*q**2 - 5*q - 5. Let w(p) = 3*p**2 + 7*p + 7. Let z(i) = t*w(i) + 7*j(i). Let v(g) = -8*g**2. Calculate z(v(a)).\nAnswer: 64*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3 (b) -0.53 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/277? (a) -0.4 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k = -25. Suppose 9*d - k*d - 672 = 0. Is 24 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = -0*d + 336. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 63254602 + -31?\nAnswer: 63254551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*s + 3*s, -1 = 4*o + s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 0.06, 1\/4, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 2:06 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 7*t - 331 = 2*t, y = 5*t - 79. Let o be (-2331)\/y - 6\/8. Is o < 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 101829, 203892, 305955, 408018?\n\"Answer: 102063*m - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-5*l**5 - l**5 + 3*l**5) - 2*l**5 - l**2 + l**2 + (1 + 1 - 3)*(0*l**5 + l**5 + l**5).\nAnswer: 2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -22353582?\nAnswer: 111767910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1322*c + 2126 = -1516*c - 11855 - 8329 for c.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*x - 12. Let c = -2 + x. Solve -2 = -2*i + c*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 28*j**2 + 16*j + 383. Is t(16) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1\/5))**(-15)*((((n\/(n**(-1\/5)*n))\/n)\/n*n*n)\/n)**(-9\/5) assuming n is positive.\nAnswer: n**(-414\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.601612 centuries?\nAnswer: 260.1612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2544, 4974, 7304, 9534, 11664, 13694, 15624?\n\"Answer: -50*z**2 + 2580*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 85, 185, 325, 505?\nAnswer: 725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 + 4*u**2 + 17 - 7 - 6 - 37*u - 2 as o*u**2 + w + a*u and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 11*a + 9. Calculate i(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 8 = -2*j - m, -2*j - 2*m + 16 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 6*n = -4*n + 6, 2*n = -10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1082863 and 48668?\nAnswer: 4331452","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppppoooppop. What is prob of picking 3 p?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 196511 and 994287.\nAnswer: 2933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5675 + -28.6975. Let s = l + 28. Let w = -1.13 - s. Which is the smallest value? (a) -1\/5 (b) w (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 + 8 = -38*d. Solve -d*f = 4 - 19 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.307 - -3.693. Suppose 2*o - 5*o = 12. Which is the third biggest value? (a) -0.4 (b) w (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.44 - 0.06. Which is the third biggest value? (a) i (b) 1 (c) 2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**8\/1344 - r**7\/72 - r**6\/12 - 77*r**4\/24 - 4*r**2 - 45*r. Let j(d) be the second derivative of w(d). Factor j(n).\nAnswer: -5*n*(n + 3)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**3 - 5*o**2 + 2*o + 1. Let d be v(3). Calculate the greatest common factor of 16 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5\/3 - 185*i**4\/3 + 1548*i**3 - 15652*i**2\/3 - 39776*i\/3 + 7744 = 0. Calculate i.\nAnswer: -2, 1\/2, 6, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3195 and 1704?\nAnswer: 25560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 827, 829, 831, 833, 835?\n\"Answer: 2*q + 825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9*15\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 3*q + 12. What is the remainder when 12 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-32)\/v)\/v**(-26) assuming v is positive.\nAnswer: v**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3033516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**2 + 200*h + 196 = 0. Calculate h.\nAnswer: -49, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**7\/21 + 56*k**6\/15 - 37*k**4\/4 - k**2 + 300*k. Find the third derivative of m(b) wrt b.\nAnswer: -120*b**2 + 2688*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2499998*b**2 + 4*b. Let n be d(-2). What is n rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 113*d**4 + 2*d**3 - 165*d wrt d.\nAnswer: 1356*d**2 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(((-1)\/(-61))\/1). Suppose -1457*g + 462*g + 995 = 0. What is the greatest common factor of g and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13257 and 19332.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 5. Let m(o) = -106 + 56 + 49. What is -i(y) + 6*m(y)?\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34140210 + 5?\nAnswer: 34140215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-9) - 1*(-1)\/3. Is 5\/93 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4143 + 4142.999974392. What is v rounded to seven decimal places?\nAnswer: -0.0000256","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n - 2. Let h(m) = -25*m - 28*m + 45*m - 4. Calculate 6*h(k) - 13*q(k).\nAnswer: 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 771.41719771.\nAnswer: 771.71719771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, f: 6, j: 1, a: 1, v: 2, n: 2}. What is prob of sequence vn?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 k when four letters picked without replacement from kbbblbbklbbk.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**3\/6 - 45*h. Let o(t) be the second derivative of 47*t**4\/12 - 3*t. What is g(o(m))?\nAnswer: 47*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 450679054 by 2.\nAnswer: 225339527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21, -11, 1, 15, 31, 49?\n\"Answer: g**2 + 7*g - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 19*u**2 - 79*u + 16. Let w be n(13). Solve 0 = -3*l + 5*v + 15, 5*l + w*v - 8*v = 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52469229\/970 + 54092. Calculate the common denominator of -75\/2 and c.\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 3) to base 11.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -202655403\/8 and -25331926 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 0. Let h be 3\/(-7)*(-56)\/(-32). Let i = h + 41\/44. Sort i, 0.2, n in descending order.\nAnswer: n, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 99.69 + -100. Let r = i - -0.01. Let z = -3 - -3.2. What is the third smallest value in r, z, 0.1, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.4, -0.1, -11 in decreasing order.\nAnswer: 0.5, 0.4, -0.1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -6*g - 22, -4*g + 2*z - 17 = 11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.012 * 139\nAnswer: -1.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2105430787?\nAnswer: 23, 91540469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 812*x - 1006*x - 7509 = -2111*x + 71088 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 33. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 - 69*w**2 - 98*w + 43. Calculate v(-33).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, 162, 4\/5, 0.4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + (47 - 44) - 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*p - 479 = -86*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198 times 0.16\nAnswer: -31.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a hour in seconds?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-24)*2\/(-2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -70623.25 less than 350779?\nAnswer: 421402.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, 23, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77236.4 + -77236. Let v = 0.3 - 0.2. Let d be -2 - (2 - (-156)\/(-38)). Which is the closest to v? (a) d (b) n (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (16\/(-6))\/((-288)\/7981416)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -8*y + 4*y - 16, f = 4*y. Calculate the remainder when 19 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10010*c**4 + 9677*c wrt c?\nAnswer: -120120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 - 3 + (2 - 2 + 2)*(-1 - 2 + 2))*(-1 + 3 - 4)*(160*g + 79 - 79) to the form w*g + q and give w.\nAnswer: 3200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by -14\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 460 and 3204708220?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzbbvlbljzjzzbzjll. What is prob of picking 2 b?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 210\/11 + -3167\/110. What is the common denominator of w and 67\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1000000101110110011111 (base 2) to base 15\nAnswer: -2bd72e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/2))\/(i\/(i*i**5*i)))\/(i**2*i)**(-2\/33) assuming i is positive.\nAnswer: i**(147\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13536 - 20408 - 20548 = 658*q - 17644 for q.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 70, 127, 194, 271, 358?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*n - 184 + 1000. Calculate the remainder when n is divided by 39.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (-4 - 13)) + (-9 - 2) + 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -705 - -678 - (1 + -12).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -9*b - 453. Determine i(-37).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*sqrt(14)*-3*-3)\/(sqrt(448) + sqrt(448)*5 + sqrt(28)\/sqrt(4)*5).\nAnswer: 36*sqrt(2)\/53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + -2 - (5 + -1). Solve -w + v = 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -585457 at most as big as -2341831\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 10:21 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.36367114.\nAnswer: -0.109101342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 17 + 14*d + 12*d to the form p + v*d and give v.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*n = -0*n - 2*n. Solve n = 5*g + 39 - 9 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 12:10 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mikjaniimmk. What is prob of picking 2 i?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p - 2*q - 4 = 0, p = 5*q - 24. Is 8 a factor of (-86)\/((-25)\/20 - 1\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 76\/6623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*1.233.\nAnswer: -0.9864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t. Let u(o) = o + 6*o - 3*o. Suppose 0 = 2*n - 1 + 13. Calculate n*u(g) + 11*l(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67941, -67936, -67931, -67926, -67921, -67916?\nAnswer: -67911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 4*r**2 + 4*r - 1. Let l be f(3). Suppose 0*i + 5*i - 5 = 0, 4 = -l*x + 4*i. Solve x*b + 8 = 4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - -138 - 20\/5. Calculate the highest common factor of 17 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46.3 + -7.7. Let r = l - -51. Let i = -103 - -98. Which is the closest to 1\/3? (a) i (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3\/11 + 12*r**2\/11 + 18*r\/11 = 0. Calculate r.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 95031 and 279?\nAnswer: 2945961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 3*i + 5155 - 29929, -5*i - 25 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in eight sevenths of a week?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2*x + 7 + 3 = 0, -x + 25 = 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 7. Suppose -2*t - 3*p + 11 = -7*t, -3*t - p = 1. Which is the biggest value? (a) h (b) 5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 278, 578, 936, 1316?\nAnswer: 1682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3) + 4 - (28 - 26)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7684, 15327, 22938, 30517, 38064?\n\"Answer: -16*h**2 + 7691*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -16) + -43 + (-9 - -92)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1027 - 1005. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44196641 a multiple of 1770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30684)\/(-41630517))\/(2\/81).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44675 (base 11) to base 4.\nAnswer: -33302320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from {c: 2, q: 1, l: 2, m: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/3 - 46*v**2\/3 + 160*v\/3 - 152\/3.\nAnswer: 2*(v - 19)*(v - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2342.332282073 - 383808.737713227. Let u = g + 386151. Let r = u + 0.07. Round r to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1276 + 1276.0011352. Round d to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n + 3*n + 0*n + n. Let g(y) be the first derivative of -4\/3*y**3 + 0*y + 11 + 0*y**2. What is m(g(z))?\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21218\/4 + 6\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.48 - -0.18. Let j = -1 + 3. What is the closest to -1 in j, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -1, 17, -4, -32, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 129430 = 3*a. Suppose 33314 + a = 4*j. Round j to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -5. Suppose a*z - 3 = -4*s - 1, 6 = 2*z - s. Suppose 2*j = -3*f + 12, -5*j = f + 2*f - 12. Solve j = g + 3 + z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1, -13, -29, -47, -67?\n\"Answer: -a**2 - 11*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 9. Let j be q(-8). Let r be 4\/(-10) + (-26)\/10. Let b be 11\/(-2 - r)*j. Solve -5*m = 1 - b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 8291*f - 2952475. Give x(342).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003141730422 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 196 = -8*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 638646 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s**5 + s**4 + 7*s**3 + 5*s**2. Suppose -2*q - 6 = -16. Let w(z) = -3*z**5 - 3*z**3 - 2*z**2. Let l(o) = q*w(o) + 2*y(o). Solve l(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3) - (-100)\/12. Suppose 0 = -n*p + 4*p - 510. Let w = p + 201. Calculate the greatest common divisor of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110000100011000111 (base 2) to base 10.\nAnswer: -198855","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(-5))\/a*(a\/(a\/a**(-4\/17))*a)\/a*a*(a\/a**(-27))\/(a\/a**(-2\/117)) assuming a is positive.\nAnswer: a**(67124\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**3 + 5*c + 1. Let p(q) = q**3 + q. Suppose -w + 0*w = -1. Suppose 0 = t + 2*z - 7, -37 = -t + 5*t - 5*z. What is t*p(r) + w*b(r)?\nAnswer: 2*r**3 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -23. Let t = b + 18. Suppose -12*n = -t*n - 4*n. Solve n*o = o + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 - -0.06. Let z be (-2)\/(-4) - 146\/156. Let o = z - -10\/13. Does o = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c**3 - 159*c**2 - 114*c + 38. Let x(g) = 3*g**3 + 159*g**2 + 116*g - 36. Let y(w) = 4*v(w) + 3*x(w). Factor y(q).\nAnswer: -(q + 1)*(q + 22)*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446856040?\nAnswer: 2, 5, 11171401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*n - 9*n - 107*n + n**2 + (1 - 2*n - 1)*(3*n + n - 2*n) - 1 - 3*n**2 + 1.\nAnswer: -6*n**2 - 138*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/7 (b) 242 (c) 3\/7 (d) 164 (e) -5 (f) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + (sqrt(204) - (4*-2*sqrt(204) + sqrt(204) + sqrt(204))))*4*3)\/((sqrt(84) - -2*sqrt(84)*-5)\/sqrt(7)*-3).\nAnswer: 32*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -277.70311 rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 22*f**2 - 27*f + 38. Let j be l(23). Let i(s) = -s**2 - 8*s - 8. Let m be i(-6). Calculate the common denominator of m\/2 - 24\/j and 31\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.851675 and -2552.\nAnswer: -2550.148325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 249 by -797.\nAnswer: -249\/797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + 2 + (sqrt(2) - sqrt(4)\/sqrt(2))*-5 + -2))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**2 - 6 + 6 + 153*v.\nAnswer: -10*v**2 + 153*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**7\/70 + 33*i**6\/20 - 67*i**5\/20 - 7*i**2 + 3*i. Factor h(l).\nAnswer: 3*l**2*(l - 1)*(l + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**3\/5 + 56*u**2\/5 + 261*u\/5 + 306\/5 = 0.\nAnswer: -51, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11376*d**3 + 308*d**2 - 12*d + 2.\nAnswer: 68256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1001214 + 13?\nAnswer: -1001201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from {p: 2, e: 2, i: 1, w: 1, u: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*t - 5*x - 10, 24 = 4*t + 4*x. Suppose t*g = 5*v - 7, g = -g + 4. Suppose 0 = v*k - 16 + 4. Solve 0*s + k*s = -20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 12) to base 14.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*x**5\/5 - 3*x**4\/5 + 243*x**3\/5 + 567*x**2\/5 + 162*x\/5 = 0. Calculate x.\nAnswer: -3, -1\/3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-40))\/((-2)\/(-6))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 166.571368\nAnswer: 499.714104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.84 - -0.34. Is h less than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30 and -24.258.\nAnswer: -727.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 9 (b) 2\/7 (c) -3\/5 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -367*q - 8. Let d be z(-8). Let g = d - -5172. What is g rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/377 and 47\/104.\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = g - 18, -17*g + 13*g = 2*z - 46. What is the remainder when 48 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -220, -4, 5, 380, 0, -3 in decreasing order.\nAnswer: 380, 5, 0, -3, -4, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 21*p - 6. Let f be t(21). Let u(h) = 1 - h + 6 - 1. Give u(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 270*c + 275.\nAnswer: -5*(c - 55)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 2:41 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 135537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 95067\/20 - 4752. Let q(f) be the second derivative of h*f**5 - 3\/4*f**4 - 16*f + 6*f**2 + 0 - 4*f**3. Find s, given that q(s) = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(76)\/(sqrt(20)\/sqrt(5)) + (sqrt(19) + (sqrt(19) - (sqrt(931) + -2)))**2 + -3.\nAnswer: -19*sqrt(19) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -612*o**3 + 23*o**2 + 97*o + 41. Is x(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 971423389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -272.58 times 0.5\nAnswer: -136.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-6)\/y)\/(y**(-5\/3)*y))\/(y**(2\/5)*y*y)**(-46))\/((((y\/y**(-1\/3))\/y)\/(y\/(y**(1\/4)\/y*y)))\/(y**(-1)\/(y*y\/(y**6*y*y)))) assuming y is positive.\nAnswer: y**(6569\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 48*y**2 - 80*y + 594. What is the remainder when 21375 is divided by l(-46)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 288*p**3 - 145*p**3 - 140*p**3 - 170*p + 148*p + 6 as l + u*p**2 + r*p**3 + z*p and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.142 times 15399?\nAnswer: 2186.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 110.4 times 0.3\nAnswer: 33.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(1\/5))**(3\/11))**(-24) assuming h is positive.\nAnswer: h**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 12:20 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -13*a**3 + 6*a**2. Let x(n) = 10*n**3 - 15*n**2 + 4*n - 4. Let z(s) = -s**3 - 2*s**2 + s - 1. Let d(j) = -x(j) + 4*z(j). Give 6*d(l) - 7*y(l).\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.896 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8174 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(((-10695)\/(-10))\/23)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, o: 1, g: 3, w: 6}. What is prob of picking 1 r and 1 o?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3828 - 2551. What are the prime factors of c?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 e when two letters picked without replacement from jyyddeyddeyfyyy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 214 + 2?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14.6 and 0.1.\nAnswer: -14.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 68 * 1\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h**2. Let g(f) = 100*f**2. Give p(g(i)).\nAnswer: -70000*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*b = -2*r - 47*b + 375, r = 5*b + 194. Let w = 323 - r. Is w a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24, 101, 230, 411, 644, 929?\n\"Answer: 26*k**2 - k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = u - 54 - 22, -5*z + 3*u = -92. Suppose 4*t - 4*a = z, 4 = 4*t - 2*a - 12. Solve -o + 9 = 5*f, -2*o - t*f - 1 = -7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(1\/4))\/q*q)\/q**(-2\/25)*q*q**(-1\/2)*q**1)\/(q**0\/q**(-1\/8))**(-2\/55) assuming q is positive.\nAnswer: q**(642\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*m + 59*m - 138 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.828 * 2.\nAnswer: 45.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765\/789752 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1058 + -302. Suppose -a = -4*a + q. What is the greatest common factor of a and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 20\/3*f**3 - 24*f + 0*f**2 + 8. Differentiate w(x) wrt x.\nAnswer: 40*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*33.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, x: 1, n: 2}. Give prob of sequence xk.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3239, 12, 0, -5 in ascending order.\nAnswer: -3239, -5, 0, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133*11.\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.02 - -0.02. Let j = 6 + c. Let g = 4 - j. Put 2\/5, -4, g in ascending order.\nAnswer: -4, 2\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -22*a - 1. What is the tens digit of t(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.2 + 9. Let w = -0.7 + i. Let z = -0.1 + w. Is -1\/4 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - -3)\/3*-23. Suppose 3*y + f = 2*v + 4*y, 4*y = -20. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vh when two letters picked without replacement from hzvvv?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l + 35. Let u be x(-10). Sort 2, 3, -3, u.\nAnswer: -3, 2, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3486a6 + 1?\nAnswer: -3486a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = r + 2, 2*r + 21*c = 18*c + 16. Suppose -3*o + 72 = o. Calculate the greatest common factor of o and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1430218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14906310 and 456133086.\nAnswer: 2280665430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2137 - -12749\/6. Calculate the common denominator of -29\/24 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1875976 less than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 4*q - 1. Let s be c(-5). Let v(n) = 2*n - 3. Let z be v(s). Suppose -z*y = -12 - 8. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -107, -253, -479, -797?\nAnswer: -1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-3)\/(4 + -1). Let j(k) = -9*k**3 - k**2 - 4*k - 4. Let f be j(d). Solve 3*i - f*i + 3*u - 3 = 0, 4*i + 20 = -2*u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - ((-10)\/(-35) + (-11853)\/4515). Let p = t + -6\/43. Which is smaller: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 107*q**2 + 135*q + 17. Let m(a) = a**2 - 8*a - 1. Calculate -102*m(g) - 6*s(g).\nAnswer: -744*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 4*m = -365, -12*s - 42421*m + 42423*m = -220 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*r - 4 = 0, 5*g - 6*r - 23 = -4*r. Calculate the highest common divisor of 27 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*l**3 + 12*l**2 + 72*l + 32 = 0. Calculate l.\nAnswer: -2, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/49 - (3 - 93\/21).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 203*q - 2. Let t(h) = -3*h**2. What is r(t(a))?\nAnswer: -609*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 528964*w**2. Let q(m) = -4*m**2. Determine y(q(u)).\nAnswer: 8463424*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.7242025 millennia?\nAnswer: 7.242025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71 by -18.\nAnswer: 71\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*h - 604 = 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448444?\nAnswer: 2, 112111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/(-36))\/(5\/(-75)). Let d be (b\/18)\/((-145)\/58). Solve 0 + 2\/9*k + d*k**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 697794324?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 285\/38042 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 10. Suppose 4*w - j + 2 = 3*w, 3*j = -4*w - 29. Put 2, w, -4, a in decreasing order.\nAnswer: a, 2, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-23)\/(-6) + 2\/12. Suppose 78 = u*r - r. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 10*r - 190. Let u be r\/4 - 1\/2. Let p(c) = -7*c**3 - 4*c. Let g = 6 - 2. Let m(y) = 15*y**3 + 9*y. Give g*m(z) + u*p(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 20044023452?\nAnswer: -20044023443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 not equal to 9888.7521?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.09 + 0.06. Let d = -11 - -10.85. Let x = d + p. Which is the nearest to -1? (a) -1 (b) 1\/8 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 + (-319 - -126) - -41?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -4 - 1, -55*h - 4*d + 8 = -59*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 + (-22 - -21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5*p + 1056, -15*y + 3*p = -14*y - 1058. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3212 - 14342?\nAnswer: -11130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 + -6.8161.\nAnswer: -6.8561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, d: 2, k: 2, m: 1, v: 2, s: 5}. Give prob of picking 1 m, 1 z, and 1 d.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -75, -102, -141, -186, -231, -270, -297, -306?\n\"Answer: b**3 - 12*b**2 + 2*b - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.22 (b) 0.16 (c) -0.05 (d) -2\/13 (e) -6 (f) 40\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*u**2 + u - u - 83*u**2.\nAnswer: 322*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) -139 (c) -2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 164768 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0 = -26. Let s = y + 18. Find the third derivative of -s*u**4 + 2*u**4 + 2*u**2 + 0*u**2 wrt u.\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2479 = -4*d + 2429. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -908558 - 4?\nAnswer: -90855c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17908.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2364 divided by -6\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61286*o - 2 + 122570*o - 61284*o - 9*o**3.\nAnswer: -9*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**7\/2240 - d**6\/2880 - d**5\/480 - 2*d**3 - 8. Let x(q) be the third derivative of m(q). Factor x(k).\nAnswer: k*(k - 1)*(3*k + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvnvvvvvvvvn. What is prob of picking 2 n?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - (-20 + 0 + 10) - 15.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001786319524 rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4746 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * 0.08.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4444, -8229, -12026, -15841, -19680, -23549, -27454, -31401?\nAnswer: -35396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -30842, -140305, -322744, -578159?\n\"Answer: -36488*r**2 + r + 5645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(350) - sqrt(350)*1 - sqrt(126)\/sqrt(144))\/((sqrt(504)*-2)\/sqrt(8)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4727 = 2*s - 5*g + 4706, 3*s - 4*g + 2 = 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 2*z + 0*z**3 - 35*z - z**3 - 30*z**2 + 12*z**2 + 4. Determine t so that j(t) = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (148 + -150)\/((16\/(-18))\/(-1))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -42 - 2*q + 5*q**2 + 4*q**3 - 3*q**2 + 44. Let k(y) = 15*y**3 + 9*y**2 - 9*y + 9. Determine -2*k(x) + 9*w(x).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 2*r = -15, -4*r = 4*u - 0*r + 24 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/2*156\/(-91))\/2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (539*h + 83*h + 123*h - 56*h)*(0*h - 3*h + 4*h - 5*h**2) to l + k*h + a*h**3 + u*h**2 and give a.\nAnswer: -3445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -4\/9, 2, 13.7 in descending order.\nAnswer: 13.7, 2, 1\/2, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 15 = 21. Let u be (y\/(-2))\/(-3 - -2). Let a(x) = 23*x - 14*x - 4*x - 2*x**2 + x**3 - 2. Calculate a(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (39 - (9 + -29))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 20\/3, 337.63 in increasing order.\nAnswer: -2, 20\/3, 337.63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 80085 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qee when three letters picked without replacement from ooopeqopqqoqroe.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3869 and 261339343?\nAnswer: 3869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 + 253*g + 3697. Let v(u) = -9*u. Let i(t) = -m(t) - 6*v(t). What is the first derivative of i(y) wrt y?\nAnswer: 4*y - 199","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 62*u + 61*u + 68*u - 200*u. Let i(k) = 25*k. Give v(i(b)).\nAnswer: -225*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -135.2 and 23909939626.\nAnswer: 23909939490.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 563, 1722, 3653, 6356?\n\"Answer: 386*p**2 + p + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -2. Let m(w) = -3*w**3 + 10*w**2 - 7*w + 4. Let b(v) = v**3 - 3*v**2 + 2*v - 1. Let i(a) = 8*b(a) + 3*m(a). Is i(q) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 22*q**3 + 241*q**2 + 41*q - 140. Let b(l) = 3*l**3 + 32*l**2 + 6*l - 20. Let f(u) = 15*b(u) - 2*p(u). Calculate f(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2041098*n**2 - 6460414?\nAnswer: 4082196*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8)*118\/44486*232.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 505302 a multiple of 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 29574 + -0.5\nAnswer: 29573.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5160*d**3 - 200*d**2 + 200. Let t(p) = 77*p**3 - 3*p**2 + 3. What is 3*g(b) - 200*t(b)?\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2493)\/17451)\/(6\/(-7)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7440336 to the power of 1\/2, to the nearest integer?\nAnswer: 2728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 928022.73 to the nearest one thousand.\nAnswer: 928000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 + 5*u. Let s be (-24)\/3*(-2 + 1). Let o(d) = 8 + 14*d + 9*d**2 - s. Let v(t) = -4*o(t) + 11*q(t). What is the second derivative of v(l) wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 346881?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000221110121 (base 3) in base 11?\nAnswer: -a01872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 25, 44, 67, 94?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 7. Let r be z(0). Suppose -3*j - 6 = 3*u + 24, -4*j - 47 = -3*u. Let b = r - j. Calculate the greatest common divisor of b and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r = 20*r - 28 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 2299, 3?\nAnswer: 2299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hpqhoo. Give prob of sequence pqoh.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 17 (c) 4 (d) 0 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1558921 and 1336218?\nAnswer: 9353526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 0*z**3 + 0 + 1\/3*z**4 + 0*z - 77*z**2. Let d(r) be the first derivative of r**2\/2 - 2. Give d(n(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 16*r = 72. Calculate the remainder when 6 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-7)\/(8057\/1150). Let i = q - -46047\/8057. Calculate the common denominator of i and -85\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**3\/3 - 76*p**2 - 5477*p\/3 - 3350 = 0.\nAnswer: -201, -25, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 6*u**2 + 3*u. Let m be g(2). What are the prime factors of (m\/6 - -1) + 143?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 11:12 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + sqrt(260)\/sqrt(250))\/(-4*(sqrt(2) + sqrt(6)\/sqrt(3))) - (0 + sqrt(117)\/(-4*sqrt(225) - sqrt(9)))**2.\nAnswer: -3*sqrt(13)\/20 - 13\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*r = -0*o - 17, -o - 4*r + 19 = 0. Suppose 18 = o*k - 9*k. List the prime factors of 0 + 17 + k\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 + 36.5. Let o = -42 + b. Put -4, -1, o in descending order.\nAnswer: -1, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by ((-165)\/20)\/(5 + 189\/(-36)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81815 - -122135. Suppose 25908 + a = 12*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 2*f + 3. Let q = 4 - -1. Let x be k(q). Let i = x + 23. What is the remainder when i is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11907)\/567*(-2)\/(-21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, l: 1, u: 9, e: 2}. What is prob of sequence elu?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -261 (base 10) in base 3?\nAnswer: -100200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*12\/(-7)*(-49)\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 121430264 a multiple of 453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1557 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = -4*r + 4*s - 28, 5*s = 20 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3259, -6517, -9775, -13033, -16291?\n\"Answer: -3258*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0.1. Let a = -557.3 + 519. Let y = 38 + a. What is the closest to -2 in 0.4, n, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13146 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31481328 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*w - 39*w = 104. Calculate the highest common factor of 39 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, l: 10}. Give prob of sequence lp.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 65327, 65824, 66651, 67808, 69295, 71112?\n\"Answer: 165*r**2 + 2*r + 65160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258 = -k - 253 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 + -4.72.\nAnswer: 18.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25617 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11586 + 11588. Let i(x) be the second derivative of -18*x - x**s - 1\/48*x**4 + 0 - 1\/4*x**3. Factor i(f).\nAnswer: -(f + 2)*(f + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 89, -118, -611, -1486?\nAnswer: -2839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -2, -4\/3, -17\/150 in increasing order.\nAnswer: -2, -3\/2, -4\/3, -17\/150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*t + 161*t = 350. Which is smaller: -68 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 939318 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 + 0.38. Let z = o + -0.11. Round z to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3. Let s = -0.731 - 0.264. Let y = s + f. What is y rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -212.8 + 67.9. Let d = h - -144. Let v = 1 + d. Which is the nearest to v? (a) -69 (b) 0 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hci when three letters picked without replacement from higggjcjjgc?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0309984052 rounded to 3 dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 815724 and 0.2.\nAnswer: 815724.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 241815 to the power of 1\/2, to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3095, 6761, 10427?\nAnswer: 14093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6684218 a multiple of 1236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -38, -96, -190, -320, -486, -688, -926?\n\"Answer: -18*i**2 - 4*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/455661 and 31\/105?\nAnswer: 15948135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -156 (base 8) to base 5\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 597 (base 10) to base 5\nAnswer: 4342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -10*v**2 - 3*v + 4. Let w be k(3). Does 7 divide (w - -2)\/(3 - 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-4)\/(-6)) + -2. Let r = 3 - l. Let c(p) = 1. Let i(s) = -5 + 2*s + 2*s - s**2 - 5*s. Determine r*i(w) + 9*c(w).\nAnswer: -2*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31225906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**2 + 2*i + 2. Let d be r(-1). Suppose -d*j + 10 - 4 = 0. Solve 0 = z + 1, 3*w - j = 4*z - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1000111100?\nAnswer: -1000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6150?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 6*a + 6*a)*(4 + 3 - 4) + 3*a - 3*a + a**2.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4683\/4 - -1178. Let o = -149\/20 + d. Which is the closest to 0.2? (a) o (b) 1\/8 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**2 - h + 3. Let y(v) = 8*v**2 - v + 6. Let x(n) = -7*t(n) + 4*y(n). Determine x(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79445?\nAnswer: 5, 15889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -1 + (-6)\/(-2). What is the nearest to -1 in 4, v, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**4\/8 - 1737*c**3\/8 + 71313*c**2\/4 - 380331*c\/2 + 546561 = 0.\nAnswer: -653, 6, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.207 + -17.107. Let w be 1 + (-1)\/((-10)\/(-6)). What is the nearest to -1\/3 in -0.04, w, -2, x?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7260 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(637))*-1.\nAnswer: -7*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4722 is divided by 61?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 4*t - 8. Calculate c(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3))**(3\/16)*(t**(1\/4)\/t)**(1\/5)*(t*t**(2\/5)*t\/(t\/(t\/((t\/((t\/t**(-6))\/t*t*t))\/t))))\/((t*t**1)\/(t**(2\/3)\/t*t)) assuming t is positive.\nAnswer: t**(425\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5*v = -154, 0 = h + v + 5355 - 5381 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (36\/24)\/(1\/3*(-54)\/84). Let k(l) = 13 + 1 + 7*l - 4 + 2*l**2. Let s(m) = 2*m + 0 + m**2 + 2 + 1. Determine i*s(x) + 2*k(x).\nAnswer: -3*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20\/(-6))\/(4\/6*-1). Suppose -2*l - 6 - 10 = -4*r, -3*l + c*r = 25. Let u = -5 - l. Solve 2*v + 22 = 4*w, -5*w = -w + u*v - 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**5 + 354610*f**4 + 27313946*f**3 + 511218278*f**2 - 594933144*f - 1079192088 = 0?\nAnswer: -39, -1, 2, 177382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191*10.\nAnswer: -1910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 9) in base 16?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/11 (b) -2\/3 (c) -13 (d) 5 (e) 0.5 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -1df?\nAnswer: -1df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**4\/6 - 107*d. Let g(z) be the first derivative of 0*z**2 + 1 + 0*z - 7\/3*z**3. Give l(g(i)).\nAnswer: -98*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/2 - 366*w - 1828845\/2.\nAnswer: (w - 1767)*(w + 1035)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, t: 2, o: 1, w: 3, m: 4}. What is prob of sequence mmmm?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 59 - 95. Calculate the greatest common factor of u and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 46*t**3 + t**2 + t. Let p be b(1). What is the tens digit of p\/18*(-243)\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/2, 0.03, -0.14, 923, 1, 39?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/9 - (-325)\/(-45). Let n(d) = -d**2 - 8*d - 1. Let v be n(x). Let u = 179 - 179. Solve -w + 3*s + v = 2*w, 5*w - 2*s - 19 = u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-11 - 2630\/(-240))*(-1)\/(-4)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.370733 - -0.37. Round n to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y + 1. Let k(g) be the third derivative of -g**4\/12 - 2*g**2 - 53. Determine -6*k(h) - 2*t(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 - -107. Let r(k) be the third derivative of 0*k + x + 1\/6*k**4 - k**2 + 1\/2*k**3. What is the derivative of r(g) wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvxvvvvvvvx. What is prob of picking 2 v?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14789967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001787 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -115525, -229970, -344415, -458860, -573305?\n\"Answer: -114445*r - 1080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*w + 23400 = 54*w. Calculate the remainder when w is divided by 154.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 9*u - 54. Give n(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 10299.\nAnswer: -1\/3433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/55 - 42*(-380060)\/330 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.04 - -0.73. Let g = -17.31 - j. Let w = g - -17.1. Put -2, w, 2\/11 in ascending order.\nAnswer: -2, w, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/24*(-7)\/(-21))\/(-1).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9368, -18746, -28124, -37502?\n\"Answer: -9378*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -88. Let o = 19 - -2. Let j = o + -8. Calculate the remainder when c is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 187\/55 + (-2)\/5. Solve 0 = -h - z*h - c - 1, h - 2 = -c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 11:46 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2730238\/142 + 1082\/(-38411). Calculate the highest common factor of 102 and a.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - k**2 - k**2)*(2 - 2 + k) + (-5 + 5 + 2*k**2)*(0*k + 2*k - 4*k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (1 - -4) + -33 + 66 - (31 - 22)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3*f + a**3 + 6*a**2*f + 188*f with respect to a.\nAnswer: -6*a**2*f + 3*a**2 + 12*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -13, -37, -63, -91?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**4 + 2*b**3 + 6886*b + 356223.\nAnswer: -4*b**3 + 6*b**2 + 6886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 49262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jsjjjjssjjs. What is prob of sequence sjj?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.09999988 - 0.1. Round q to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 11:31 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*s - 80, -4*f + 4*s - 57 = 47. Let q be 81\/f*-2*(122 - 124). Which is greater: -13 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*t + l - 82, t + 2*l - 18 = 0. What is the highest common divisor of t and 752?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 823471963 and -1.995?\nAnswer: 823471964.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7)\/(q*q**2*q)*(q**(-1\/4))**(-9))\/((q**(-7)*q**(-1))\/(q\/(q*q\/(q*(q\/(q*q**(-7)\/q))\/q)*q)*q**(-2\/7)\/q)) assuming q is positive.\nAnswer: q**(299\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 795 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**5\/(i**(5\/8)*i)*((((i*i**(-3\/4))\/i)\/i)\/i)**(-1\/33) assuming i is positive.\nAnswer: i**(83\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(-1*(sqrt(3) - (sqrt(3) - sqrt(3)*-1))))\/(sqrt(150) - (sqrt(150) + 6*(sqrt(150) - (5*sqrt(150) + sqrt(150))))).\nAnswer: sqrt(7)\/150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 34 + (2 - (-6)\/(-2)). Suppose -3*b + 48 + f = 0. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(-3*j + 0*j + j)*(31 + 0 - 1) to p*j + f and give p.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172930606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3935\/1562 - 124\/71. Calculate the common denominator of q and 0\/73 - (17\/18 + 1).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 20*m - 39. Let g be n(23). Calculate the remainder when 10 is divided by (-54)\/g*(1 - 0 - -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 0*q**2 - 4*q**2)*(-32*q - 69 + 69).\nAnswer: 96*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1437416 and 143\/6108.\nAnswer: 4312248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196596b (base 14) to base 9.\nAnswer: 25657837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014625 to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*r**5 + 3*r**3 - 2384*r?\nAnswer: 240*r**3 + 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + s**2 + 5*s**3 + 2*s + 9 - 3*s**3 to the form x*s + k*s**2 + v*s**3 + b and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64\/195 - 6\/13. Which is bigger: -2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 222201?\nAnswer: 222164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/4))**1*(l*l*l**(1\/7)*l)\/((((l\/(l**(-2\/17)*l)*l)\/l)\/l)\/l) assuming l is positive.\nAnswer: l**(2749\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -578 divided by 34\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v. Let q(b) = -b**3 - 28*b**2 - 51*b + 28. Let l be q(-26). Suppose 30 + 0 = 5*c. Let r(a) = -8*a**2 + c*a**l + 0*a**2. Calculate i(r(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 241334617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(108) - sqrt(12)) + sqrt(12))\/sqrt(6) + 5 + -3 + (sqrt(288) - (sqrt(288)*3)**2*1) + sqrt(288) + (sqrt(288) - (-5 + sqrt(288)*-2)).\nAnswer: -2589 + 63*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c3 (base 13) in base 9?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09583 - 112.\nAnswer: -112.09583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-400)\/120*12\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 11*w**2 + 31*w - 8. Let s be r(6). What is the remainder when 213 is divided by (5 - 4)*-1 + (-112)\/s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -17. Suppose 0 = -8*l + 3*l. Is l less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1334*z - 221300 = 1329*z. What is z rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21638, 21618, 21576, 21500, 21378, 21198?\n\"Answer: -2*o**3 + o**2 - 9*o + 21648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*m - 114*m = 2*a - 32, 5*a + m = 26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1696175179 to the nearest integer?\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/((sqrt(392) + sqrt(8) - sqrt(8))\/sqrt(2))*-5)**2.\nAnswer: 425\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.97 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7*s**2 + 1. Let z(k) = -77*k**2 - 5*k - 21. What is 8*o(y) + z(y)?\nAnswer: -21*y**2 - 5*y - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66? (a) 2\/11 (b) -8 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llriiililiiri. Give prob of picking 2 i.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 8:59 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 246.7596cm?\nAnswer: 2.467596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**3 - 29*s**2 + 44*s - 319. Give c(10).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -7. Suppose 3*t + g - 10 = c, -3 = 2*t - 4*g - 19. Suppose s + 54 = t*s. What is the remainder when 34 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**2 - t**2 + t**2)*(0*t - 3*t + t + (0 - 1 - 1)*(2*t + 2*t - 6*t) - 3*t + 3*t + t - 4*t + 5*t + 0*t + 4*t - 4*t + 2*t).\nAnswer: -36*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(2\/3))**(-1\/16))**(-14) assuming z is positive.\nAnswer: z**(7\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - -90b2b5?\nAnswer: 90b300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 15750 = 4*c, -4*h + 11*c + 31565 = 6*c. What is the thousands digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2129?\nAnswer: 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 669 (base 11) to base 5\nAnswer: 11201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 - 68. Let o(t) = t**2 - 10*t + 12. What is o(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0*w + 3\/2*w**2 + 9\/2*w**4 - 3\/2*w**5 - 9\/2*w**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1100, 2199, 3298?\n\"Answer: 1099*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/2)\/4*(-10)\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h + 8*h + 2*h**4)*(4*h - 2*h + 2*h) - 4*h**5 - 4*h**5 + 4*h**5.\nAnswer: 4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 11:07 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j + 4*j + 6*j - 13. Suppose 4*q - 6*q - 14 = -3*k, -4 = -2*k. Let m(f) = 6*f - 6. Determine q*z(v) + 9*m(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**3 - 2*z**2 - 3*z + 3. Give o(-4).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 1778*g**2 - 157*g - 483. What is the hundreds digit of p(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/7)\/(327\/(-763)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573258510?\nAnswer: 2, 3, 5, 11, 31, 18679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*q + 11445 = 11*q, 4*z - 4*q - 9204 = 0. Does 28 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 - 4\/(-2) - 5. Let g be -10*3\/(y + -6). Solve 16 = 3*o + 2*q, 4*o = 4*q - 2*q - g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b*n*o - 6*b*n - 203*b*o**4 - b + 6*n*o - 4*n - 453 with respect to o.\nAnswer: 3*b*n - 812*b*o**3 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/21)\/(77\/(-42) - -2)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -7*c + 37. Let p = -1584 + 1589. Calculate t(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -600, 2 in ascending order.\nAnswer: -600, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/308 (b) 3\/5 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((4*((3 + sqrt(325) - sqrt(325)) + sqrt(325)))**2 - sqrt(325)).\nAnswer: 475*sqrt(13) + 5344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -6*((sqrt(2) - sqrt(256)\/sqrt(8)) + 4))**2.\nAnswer: -756*sqrt(2) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -546 divided by -246?\nAnswer: 91\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2638*j = -7791*j + 2530*j + 347556 for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3*c - 36. Suppose -o + 31 = 3*b, -5*b + 2*o = -3 - 34. Calculate the smallest common multiple of b and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-649 - 2127 - 72 + 3 - 3 + 2 + (-2 + 0 + 3)*(-5 + 0 + 4) - 6 + 2 + 2 + 3 - 4 + 0)*(4*a + 0*a - 2*a).\nAnswer: -5700*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/18*(-1 + 1). Let x(q) be the second derivative of -1\/6*q**4 - 2*q + 1\/10*q**5 + d*q**2 + 0*q**3 + 0. Factor x(w).\nAnswer: 2*w**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = t + 7, -16 = -4*t + 122*b - 127*b. Let o(v) = v + 10. What is o(t)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -379 - -405.6. Let h = f + -26.1. Which is the closest to -1\/3? (a) 0 (b) h (c) -5 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**(-6))\/u)\/(u*(u**0*u)\/u))\/((u\/u**(1\/5))\/u*u**(-1\/11)))\/(u**(-6)\/(u**(-6)*u*u)*u*u**(-1\/3)*u*(u**(-2\/9)\/u*u*u)\/u) assuming u is positive.\nAnswer: u**(-3046\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -83*i**3 + 19*i**2 - 46*i - 39. Is h(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 0*c**2 + 16\/3*c**3 + 0*c + 23. Let v(i) = -8*i. What is w(v(t))?\nAnswer: 1024*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1510?\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.65 + 1.39. Let f = 9.96 + -10. Let u = f + s. Which is greater: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/12 - (-85 + 83) and 51\/64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, v: 3, t: 5, j: 5, l: 1}. Give prob of picking 2 g.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39115.52 + -39115. Let z = 25 - 74\/3. What is the closest to -1\/4 in 0.5, z, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 + 46*p + 83. Let c be o(24). Suppose 693 = -c*j - 77. Let y(s) = -20*s**2 - 2*s + 1. Let b be y(1). Is b at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 10*j**2 - 10*j - 9. Let g be p(11). Suppose 0 = c - 5*n - 18, 3*c + n = g*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 45 = 39. Suppose -2*o = 4*u - 36, -15*o + 3*u + 1 = -13*o. Solve -i*v + o*v + 3 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/15 + (-3)\/(-5). Suppose 0*s - 6 = o*s. Let y(t) = -6*t**2 + 8*t. Let i(c) = 2*c**2 - 3*c. Determine s*y(h) - 8*i(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 5:29 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**3 - 13*j**2 + 6*j + 12. Let h be c(11). Let v = 3569 - h. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2 + 232*w - 24*w**2 - 418*w**2 - 232*w to z*w + j + i*w**2 and give i.\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1130 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + c**2 + 5*c**2 + (3*c - 3*c - c**2)*(2 - 4 + 4) + c**2 - 4*c**2 + 2*c**2 + 2*c**2 + 0*c**2 + 4*c**2 to j*c**2 + f*c + o and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 0.0110712934.\nAnswer: 1.9889287066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 3 - (4 - (15 + -8))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (317 - 272 - (20 + (9 - 5)))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1441 by 14856.\nAnswer: 1441\/14856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-54)\/(-10) - 20\/50. Suppose 3*z - 5*v = 24, -z + 3*z + u*v = 16. Solve 3*k + 4*b + z = 0, 35 = -0*k + 5*k - 3*b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/70 + 80\/378.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 46323*o = 46327*o, 4*p - 24 = -2*o - 0*o for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -700, -699, -698?\n\"Answer: b - 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 2:12 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(350)\/sqrt(2))**2 + sqrt(7) - (sqrt(7) + -1)*-4)*5 - (1*sqrt(70)*-1)\/(sqrt(10)*1*-3).\nAnswer: 74*sqrt(7)\/3 + 855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 11) to base 14.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -30.3 and -5050.\nAnswer: -5080.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**4\/4 + 3*m + 5. What is the first derivative of d(f) wrt f?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5521\/6 + 920. Which is the nearest to 0? (a) y (b) 1\/2 (c) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 15 = 2*w. Let f(v) = v - 5 - 1 + v. What is f(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 5*l - 2*z, 4*l - 14 + 48 = -5*z. Let s(f) = -9*f + 4. Let m be s(-3). Let v = l + m. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2 + 3930*y - 5*y**2 + 2*y**2.\nAnswer: -3*y**2 + 3930*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(3) + 1 + sqrt(3))**2*6 - (-1*sqrt(3) + -3)**2) + (((sqrt(3) + -2*sqrt(3))*1 - sqrt(3) - (6*sqrt(9)\/sqrt(3) - sqrt(3))) + 3)**2.\nAnswer: -24*sqrt(3) + 221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(6) + (sqrt(6) - (sqrt(600) + (sqrt(600) - 1*sqrt(600))))))\/(2*-2*sqrt(150)).\nAnswer: sqrt(3)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -50.4 (b) 5 (c) -11 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, y: 3, m: 1, e: 5, l: 4}. What is prob of sequence lly?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 856 + -537. Suppose -l = -4*x + 385. Suppose 6*c - 2*c - x = 0. Calculate the remainder when c is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3595650675 to the nearest integer?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22935\/556*(-44)\/55?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 7. Suppose 5*m = s - 123, 0 = l*m - 0*m + 3*s + 131. Let h = m - -56. What are the prime factors of h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence juju when four letters picked without replacement from guhjuhhjhgajjjhajaud.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (0 - 2)*(-2241)\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b + 98a51c?\nAnswer: 98a538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-37557)\/24)\/(982\/8). Let g = -3\/1964 + o. Find the common denominator of 65\/2 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2763 + 2783 + 3*t - 4*t. Let n(i) = -i + 20. Determine 5*n(y) - 4*w(y).\nAnswer: -y + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 0 + 0)*(5*v - 3*v - v) + 21*v**2 - 7*v**2 - 3*v**2 + v**2 + 0*v**2 + 4*v**2.\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 368844311\/(-1624636) - -227 - 2\/(-104)\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = k - 11 + 24, -4*k + r = 61 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 1. Let a be (-1180)\/(-85) - (-2)\/17. Let n(f) = 2*f**3 - 7. What is a*b(o) + 2*n(o)?\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*r**3 - 119*r**2 - 47248*r wrt r.\nAnswer: -324*r - 238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 4*b**5\/5 - 3*b**4 + 8*b**2 - 1346. Solve l(i) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4166?\nAnswer: 2, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eww when three letters picked without replacement from weiwieeww?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 70184799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c - 34285 + 34285.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*b = -21*b + 17. Which is smaller: 2\/17591 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4977 - 303 = 9943*v - 9723*v. Let i(g) = 42*g + 1. Let s be i(3). Suppose -5*z - s = 2*r, z - 4*r + 7*r = -28. Is v bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*x - 2*x + 717*x.\nAnswer: 604*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3 + 12766\/21. Let g = -611 + z. Calculate the common denominator of g and -121\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1270556*c**2 - 521 - 1270527*c**2 + 521.\nAnswer: 29*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-11 - -15) - (0 - 13).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 85448, 82129, 78810, 75491, 72172?\n\"Answer: -3319*q + 88767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3 + -1*(-2 + sqrt(325) + 0 - (-3 + 0 + sqrt(325))) + 2)**2 + -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 20*m**2 + 20*m + 39. Let l be p(21). Does 14 divide 2 - ((-2055)\/8 - l\/144)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37921 - 39325 = -78*j for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -687168*m*u - 97*u + 17797 wrt m.\nAnswer: -687168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j - 9. Let d(k) = -16*k - 26. Give -7*c(s) + 2*d(s).\nAnswer: 3*s + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 52?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -109 + 95. Which is bigger: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 9:06 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 10*o - 2. Let z be m(10). Let t be (z\/(-4))\/((-2)\/8). Does 9 divide ((-1)\/((-2)\/(-36)))\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 2. Let z = -8.03 + 8.7. Let k = -0.67 + z. What is the closest to u in k, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**7\/420 - w**4\/8 - 3*w**3\/2 - w. Let s(b) be the second derivative of u(b). What is the derivative of s(r) wrt r?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3619 is divided by 403.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-10)*(1\/(-4))\/((-4)\/(-16)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 8847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q = -21*q + 1625. Round q to the nearest ten.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 7:32 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3 - 2*l - l - 3. Suppose 4*y = 8*y. Let i(x) = 10*x + y - 13*x + 0. What is f(i(z))?\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 + 0.3. Let b = -0.6 + u. Let f = -268510\/63 + 29836\/7. What is the fourth biggest value in f, 0, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 150, 225, 300?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - (-2 - 20))*4\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h*h)**(-2\/31)*(h**0*h)**(-1\/71) assuming h is positive.\nAnswer: h**(-457\/2201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.8 - 1.2. Let v = u - -8. Let q = -0.5 - -1. Which is the nearest to -0.1? (a) v (b) q (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, u: 5, e: 3, x: 4, c: 1, w: 1}. What is prob of sequence xue?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -370\/1870317 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(143)*-2)\/(4*sqrt(275) + sqrt(275)).\nAnswer: 2*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 + 11101101?\nAnswer: 11011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 8. Suppose 3*z - 9 - d = 0. Suppose 6*m - 3*m - 4 = -5*y, 0 = m + 3*y + 4. Solve -z*r + m + 12 = v, 4*v + 5 = r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h*n*v**3 - 3*h*v + 28*k*n*v - k*v**2 + v**3 - 46*v**2 wrt n.\nAnswer: 2*h*v**3 + 28*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 213.9363 centuries?\nAnswer: 256723.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*t + 15*t - 15*t as h*t + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4664 and 11351.5.\nAnswer: -52943396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 422827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -90377.4138 + 90367. What is b rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - j**2 + 7. Let m be b(0). Let k be (-3)\/15 - (-86)\/5. Suppose -3*z + m = -k. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t + 32. Let w be p(26). What is the highest common factor of w and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l + 4. Let i be k(0). Let c(z) = 14*z**2 + z + 1. Let h be c(-1). Solve -a = i*a + 4*j + h, 2*j = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 - -0.02. Let k = -0.2 + 0.3. Sort t, k, 3 in decreasing order.\nAnswer: 3, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-3\/2)*x)*x**3)**(-32)\/((x**(-2\/9))**(34\/9))**(-16) assuming x is positive.\nAnswer: x**(-10160\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.083465 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6703 - 2*i + 2*i + 6703 + 12*i**2.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16104 and 2318712.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1915371867 rounded to four decimal places?\nAnswer: 0.1915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + 0. Let y = g - -9. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2\/5 + 4144*y\/5 + 4146\/5 = 0 for y.\nAnswer: -1, 2073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4823 is divided by 151.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**5 - 575*n**4 - 2597*n.\nAnswer: 20*n**3 - 6900*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 126*l + 7790. Calculate h(-54).\nAnswer: 986","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-542602818)\/(-957) + ((-20)\/4)\/55 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2865 and 23745?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2848.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k + 3*k - k)*((-1 - 1 + 1)*(-1 - 6 + 6) - 90 + 16 - 53) in the form f*k + a and give f.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-20475)*13)\/(2\/(-4)*-1)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -12*g**2. Let b(x) = -115854*x. What is b(u(m))?\nAnswer: 1390248*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(((w\/(w*w**(-1\/40)))\/w)\/w))\/w**19)**43 assuming w is positive.\nAnswer: w**(-27563\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 923944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**2 - 250*q - 4401. Let j(l) = 4*l**2 - 245*l - 4390. Let a(n) = -7*j(n) + 6*w(n). Differentiate a(b) with respect to b.\nAnswer: -8*b + 215","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 523, 518, 511, 502?\n\"Answer: -z**2 - 2*z + 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 12 = -8*q - 5*a, 2*a + 2 = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 457, 12 in increasing order.\nAnswer: 2\/5, 12, 457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 159*u - 159*u**2 - 163*u - 123*u**2 as l*u + v*u**2 + z and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7955315 to the nearest integer?\nAnswer: 2821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2. Let q(v) be the third derivative of -v**4\/3 + v**2. Determine q(t(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnnunxxppnnppuxss.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 + 4*s**3 + 18*s**2 - 2 - 22*s**2.\nAnswer: 4*s**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1746 - 1646. What is the second biggest value in 1, 4, h, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/36, 1\/18, -3\/5, -33 in increasing order.\nAnswer: -33, -3\/5, 1\/36, 1\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32\/11 in 3, -3\/2, 1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 32 = 0, -5*o + 150380 = 2*z + 150389 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.279619 centuries to decades.\nAnswer: 92.79619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 300143.1 to the nearest 1000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 2237150440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405*w**2 - 435*w**2 - 402*w**2 + 1688*w**2 - 413*w**2.\nAnswer: 33*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*g - 251 = -459 + 2112 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 16 = -4. Suppose 2*c - 2*n = c - 2, -r*c = n - 15. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 11\/4, 0.2, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38583 - 38583.000055878. What is r rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1366?\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 990514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000154240161 to seven dps.\nAnswer: -0.0000154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -226984885, -226984890, -226984895, -226984900, -226984905?\nAnswer: -226984910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 54?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q - q - 3*q + 4*q - 2*q + (-3 + 3 + 2*q)*(-1 - 4 + 3) + 5*q + 2*q + 11*q - q + 4 - 4 - 1 + 1 - 4*q)*(-2 + q + 2).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -8*z + 35. Let q be h(-10). What is the highest common factor of 69 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 - 48 + 48 - 10*w**3.\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0660981kg to milligrams.\nAnswer: 66098.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.07, -8, 2\/163, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/15 + -3 - (24 + 1957\/95).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 3*s = 0, 0 = 5*p - 9*p + 4*s - 40 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -7. Let h be (-4)\/(-6 + (-2)\/3). Which is bigger: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 1054.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 561 - 558. Solve 3*v + 1 = -2*c + p, -4*c - 4 = 4*v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1494\/59 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6098 divided by -2?\nAnswer: -3049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*w - 41, -37 = -3*w + 8*w + 2*o. Suppose 0 = 7*b + 23 + 29 - 24. Which is smaller: w or b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*o + 4*o. Suppose -l - l - 46 = -4*d, 26 = o*d - 4*l. Let g be d\/(-22) + 11\/14. What is the closest to 0 in 4, -1\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-6)*1760\/616\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18683 and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - k + 1. Let a(s) = -s + 60. Let u be a(0). Let x be (-8)\/(-10)*u\/(-8). Let y = -5 - x. Let g(b) = b**2 + 4*b - 5. What is y*g(v) + 3*i(v)?\nAnswer: -2*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t. Let d(a) = 155496134*a. Calculate d(v(n)).\nAnswer: -155496134*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/42*3752\/402.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(190)*1)\/sqrt(10) + 0 + -2 + sqrt(19)))**2.\nAnswer: -200*sqrt(19) + 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, s: 4, e: 1, o: 1}. What is prob of sequence tso?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 744*u**3 - 15*u**2 - 6*u?\nAnswer: 4464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27803, -55618, -83439, -111266?\nAnswer: -139099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5447974 is divided by 5447962?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -22012212 (base 3) to base 8\nAnswer: -13546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*t**3 + 87*t**3 + 173*t**3 + 67*t**3 + 164*t**3.\nAnswer: 447*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2. Let t(c) be the second derivative of -32 + 0*c**2 + 2*c + 46\/3*c**3. Determine m(t(z)).\nAnswer: -16928*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + 174\/(-9))\/(4\/(-36)). Let n(d) = -4*d + 5. Let l be n(-4). What is the greatest common factor of l and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**5*y)**(7\/3)*(y\/(y*y\/((y\/(y\/y**(-1)))\/y)))\/y*y*y**(-7\/2))**(-3\/50) assuming y is positive.\nAnswer: y**(81\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45863544 and 6.\nAnswer: 45863544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28\/27 - -305\/216. What is the closest to -1 in -20, -2\/13, a?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30725 - -30743. Solve -20*v = -r*v - 14 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2. Let l(g) be the first derivative of 1\/12*g**4 + 0*g**3 - 2*g**2 + 0*g + 2. Let w(v) be the second derivative of l(v). What is w(n(h))?\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-107)\/9 + (-47)\/423)*(-6)\/(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1822 + 0?\nAnswer: -1822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)\/(2*sqrt(125)))\/(sqrt(175)*3*-6)*2 + 3.\nAnswer: -sqrt(5)\/450 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3228 = -4*j + 7*j, -2*j + 3*x + 2155 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 1\/4*s**4 + 0 + 2*s**2 - 1\/60*s**6 - 11*s + 0*s**5 - 2\/3*s**3. Factor g(m).\nAnswer: -2*(m - 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14017139221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24864199.\nAnswer: 24864199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.558 - 1.4. Let x = k - -3.842. What is the nearest to -5 in 1, 2\/5, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + (5 + 4*(sqrt(384) - (sqrt(384) + (sqrt(384) + sqrt(384) + 1*sqrt(384) - sqrt(384)) + sqrt(384)))\/(5*sqrt(3)*-2))**2).\nAnswer: -5183\/5 - 480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 14*o**2 - 15*o + 20. What is x(13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 4 = -5*g, -6 = -3*y + 3*g - 6*g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - -15. Let i = 28 - m. Let u = -2\/51 + -41\/255. Which is the closest to 1? (a) u (b) -6\/11 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k. Let p(s) = 32*s**2 + 3. Let z(y) = 385*y**2 + 35. Let r(m) = -35*p(m) + 3*z(m). Calculate r(f(w)).\nAnswer: 315*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16097680 by -201221.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302*x**3 - 380*x**3 - 707*x**3 - 731*x**3 + 79*x**3.\nAnswer: -1437*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -183, -328, -471, -612, -751?\nAnswer: -888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/957 and ((-2359)\/(-147) - 7) + -9.\nAnswer: 6699","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 1. Let w be x(-1). Suppose -y + 117 = w*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f + 1. Let h be x(-3). Let q = -13012 + 13010. Which is smaller: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83729 and 505?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*y - 686 + 4466 = 0 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, k: 2, a: 3, m: 2}. Give prob of sequence ams.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/5 + 224*f\/5 + 3328\/5.\nAnswer: (f + 16)*(f + 208)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4 = -2*b, 2*b - 3*t = 3*b - 3. Suppose -s + b*s - 920000 = 0. Let z be (-18)\/4*s\/6. Round z to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -2) + 2 - (-2 + -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 10 = -2*z. What is the units digit of (-38)\/(-8) + z\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -139\/623 - -13025\/23674. Find the common denominator of l and 10\/(-80)*584\/6.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 10*g = 5*m - 1106765, 2*m = -5*g + 442748. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 19, 50, 125, 262, 479?\n\"Answer: 3*q**3 + 4*q**2 - 2*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -27. Let q be 6\/j + 11\/4. Put q, -4, -3 in ascending order.\nAnswer: -4, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1495328671 - 1495328671 + 2*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -762*k**3 - 419*k wrt k.\nAnswer: -4572*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2164156777?\nAnswer: 2164156777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 456 + -1226. Let t = -770.000813 - h. Round t to 5 dps.\nAnswer: -0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 0*p**3 - 71 + 0*p**2 - 89\/2*p**4 + 24*p. What is the derivative of t(c) wrt c?\nAnswer: -534*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**4 - 6450*q**3 - 3605871*q**2 - 149420700*q - 1609990668 = 0. Calculate q.\nAnswer: -1053, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 7:26 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 150 - 442 - z**2 + 145 + z**3 - z + 146. Let n(y) = 3*y**3 - 4*y**2 - 6*y - 1. Let f be 2\/6 - 22\/(-6). Calculate f*k(l) - n(l).\nAnswer: l**3 + 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/2334 and -7\/1155719.\nAnswer: 6934314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11483054 - -1.94325.\nAnswer: 11483055.94325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -f + 8294, 58*f + 2*r = 54*f + 33106. Does 72 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - ((sqrt(84) + -1*sqrt(84)*5 + sqrt(84) - sqrt(84)) + sqrt(84) - sqrt(84))) + -5*sqrt(84)*-2)\/(3*sqrt(108)*1).\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**4\/11 - 70*t**3\/11 + 750*t**2\/11 - 2250*t\/11 = 0.\nAnswer: 0, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/90)\/(4\/(-6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4)*4*-6)**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3440241 and 120?\nAnswer: 137609640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2128 - 2128.2146. Let c = f + 0.2147599. What is c rounded to 6 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-4\/5)\/t)\/t**(-5)*t**(19\/4)\/(t\/t**(-11\/9)) assuming t is positive.\nAnswer: t**(1211\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295 = -p + 364. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 588897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -3 (c) 0 (d) 42 (e) -1\/81 (f) 31\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/518400 and -193\/403200?\nAnswer: 3628800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125, -0.4, 42 in descending order.\nAnswer: 42, -0.4, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 54\/59 (c) -1 (d) -0.9 (e) 0.01 (f) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.511 + 11.521. What is the closest to -0.3 in -1\/3, -5, -2, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 10) in base 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjtot. Give prob of picking 2 t.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -28*a - 29*a + 54*a. Let n(y) = y**2. Give b(n(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(7)*1 + sqrt(7))*-1 - 3*(sqrt(448) + -1 + sqrt(448)))*2.\nAnswer: -88*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 639 + -657 - (62 - 2).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*x - b + 52, -5 = x - 5*b. Let v be 51\/x + (-4)\/(-10). Let p = 2 + 3. Put v, p, -2\/3 in increasing order.\nAnswer: v, -2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 61711569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2003475 is divided by 13532?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30420510 and 0.3.\nAnswer: -9126153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 424, 1, 0 in increasing order.\nAnswer: -5, -4, 0, 1, 424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gllw when four letters picked without replacement from {w: 1, l: 5, g: 4}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27316602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 8:04 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2280285 - 0.06\nAnswer: 2280284.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -315 divided by -11\nAnswer: 315\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79*n**2 - 13 + 13)*(-n + n - 2*n**2).\nAnswer: -158*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 351231, 2809891, 9483405, 22479201, 43904707, 75867351, 120474561, 179833765?\n\"Answer: 351238*d**3 - d**2 - 3*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -2 + 11 - (0 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 0*k - k)*(116 - 116 + 3*k**2) + 1 - 3*k**3 - 3*k**3 + 4*k**3 + k.\nAnswer: 7*k**3 + k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + 6*r - 7. Let j be z(-6). Let q(i) = j - 14 - 16. Let t(d) = -d + 4. Give 5*q(o) + t(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -274, -2438, -6024, -11014, -17390, -25134, -34228, -44654?\nAnswer: -56394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - -35 - (0 - 0). Suppose -w - 2*w = u - 94, 3*u - j = -w. Let k = 66 - w. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x + 7. Give l(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, w: 3, q: 2, i: 9}. What is prob of picking 2 i and 2 h?\nAnswer: 27\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -32*v**3 - v**2 - v + 1. Let h be l(1). Let q = h - -45. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven halves of a day?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3574636, 3574639, 3574642, 3574645?\n\"Answer: 3*l + 3574633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7860.3 rounded to the nearest 100?\nAnswer: 7900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - -18) + (70 - 93).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 372 and 5541?\nAnswer: 687084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.29 - 0.25. Let f = 0.98 + z. Let c = f - 1.019986. What is c rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2. Let j(n) = n**3 - 2*n**2 - 9*n + 6. Let v be j(4). Let r(p) be the third derivative of 1\/24*p**4 + 0 + p**v + 0*p**3 + 0*p. Give r(b(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11\/45 + 4\/9. Let f = -166 + 1164\/7. What is the fourth biggest value in f, x, 3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + (4 - 12)\/4. Suppose -2*u - 91 = -a*h, 2*h = -2*h - 2*u + 80. Calculate the remainder when 54 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4 + 0*n + 0*n + 1 + 3*n. What is the tens digit of h(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -37*t + 254. What is i(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 11*g - 17 = 7*g, -o + 2*g - 7 = 0. Let p be (-36)\/(-132) + (-4)\/22. Let i = -1\/20 - 1\/5. Which is the nearest to p? (a) i (b) -2\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 228*n - 2. Let g(w) = -3495*w**2. What is p(g(f))?\nAnswer: -796860*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 1232.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 174*p**2 - p - 5. Let g be a(-2). Suppose -4*n = -m - g, 0 = -3*n - m - m + 517. List the prime factors of n.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - ((-1340)\/90 - 0).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009447005 to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 75 (base 9) to base 12\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17718.\nAnswer: 2, 3, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d + 3*d - 13320 = 0. List the prime factors of d.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4\/7 + 128*t**3\/7 + 928*t**2\/7 + 256*t = 0. Calculate t.\nAnswer: -56, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**2\/2 - 1. Let g(i) be the third derivative of -i**4\/12 + i**3\/2 - 7*i**2 - 99*i. Give m(g(z)).\nAnswer: -2*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1022 = 4*u + 3*d, 0 = 3*u - 6*d + 3*d + 756. Let y = u + 263. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -21*g - 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, q: 2}. What is prob of picking 1 q and 3 p?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/5877 - 863915\/23508. Let s = -71\/2 - t. Which is the biggest value? (a) s (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/28 and 53\/3706.\nAnswer: 51884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33401183 by -33169.\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 1 = -19. Calculate the remainder when y is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 175 divided by 5\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -36*t**2. Let y(j) = -54 + 104 - 7*j**2 - 50. Give g(y(l)).\nAnswer: -1764*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45110248?\nAnswer: 2, 17, 331693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -451, -497, -543, -589, -635, -681?\n\"Answer: -46*i - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 74. Let s = -86.5 - x. Round s to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4 = -8. Let r be -3*(k\/2 + -18). Calculate the greatest common factor of r and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12519841819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(396) + sqrt(44) - (-2*sqrt(44))**2).\nAnswer: -177 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 64*n**2 - 194*n + 225. Calculate x(-67).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 85153294 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-21)*8*-321. Suppose 2*l + 1048 = r, 4*l + 1240 = -5*r - k. What is l rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414 = 6*f - 2*h + 396, 9*h = 4*f - 7 - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 11*l + 5. What is k(8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**4)**47\/((g*(g*g**(-2\/17)*g*g)\/g)\/g)**45 assuming g is positive.\nAnswer: g**(2555\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 4. Suppose -6*b + 3*y = -2*b + 15, 4 = -2*b - 2*y. Let v be g(b). Let u(h) = -h**2 - 20*h - 19. Is 18 a factor of u(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59841808.\nAnswer: 2, 13, 287701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12547, -12553, -12563, -12577?\nAnswer: -12595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2. Let p(j) = -6*j + 17*j**2 - 8*j**2 - 3*j**2. Give p(l(q)).\nAnswer: 24*q**4 - 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 - (-3 - (-1 + -7)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -41*u - 82. Is i(-10) a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s + 225*s**2 - 3*s - 226*s**2 + (-s**2 + 2*s**2 - 2*s**2)*(0 - 4 + 5) - 3*s**2 + 84 - 84.\nAnswer: -5*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -4*q + 4, 0*q = -2*q - 3*d + 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 324295, 324292, 324289, 324286, 324283?\n\"Answer: -3*h + 324298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1.3 (b) -2\/7 (c) 5\/2 (d) 301\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2658?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-32)\/40 + 18\/10)*12. Let r(a) = a**3 - 12*a**2 + 9. Let o be r(y). Let b(p) = 22*p**2 + 5*p - 4. Is b(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 3*a. Solve 2*y + 2*m = 2, -3*y + a*m + 4*m - 11 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -9*u + 24*u - 16*u. Let h(w) = -19*w**2 - 6*w - 6. Let d(k) = 208*k**2 + 65*k + 65. Let s(o) = -6*d(o) - 65*h(o). What is s(j(t))?\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/30*2)\/(15\/225*(4 - 25))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20873551 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 18 = -3*l. Let t(s) = 4*s**2 + 4*s - 3. Is 9 a factor of t(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 91 - (55 - 21).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 279203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 74 and 2.5?\nAnswer: 71.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 80 + 0?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -210 (b) 0.4 (c) 0.0474\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.53073 - -0.03073. Suppose 5*u + 2 = 12. Let o = 7 + -9. What is the nearest to -0.1 in p, u, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*6\/(-32))\/(165\/(-88)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p - 3*p + 2*p)*(-2 - 1 + 1) + (-3644 - 3537 + 6684)*(0*p + 4*p - 2*p) as h + i*p and give i.\nAnswer: -1000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -476 + -1213.08421826.\nAnswer: -1689.08421826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g*m**2*y**2 - 91*g*m**2*y - 42797*g*m*y**2 + 2*m**2 - 2*m*y + y wrt y.\nAnswer: -4*g*m**2 - 85594*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 12 = 2*i. Find the common denominator of (-30)\/i*(-8)\/10 and -4*2\/36*20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*l = -2*x + 10, 11 = x - 4*l. What is the hundreds digit of (-9892)\/(-6) + (12\/18)\/x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -58*j**2. Let z(s) = 326*s**2 - 163*s**2 - 165*s**2. Calculate z(a(k)).\nAnswer: -6728*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3\/8 + 515*b**2\/4 = 0. What is b?\nAnswer: -1030, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = v - 53, 3*i + 4*v = 7*i + 84. What is the units digit of i\/6*(-2775)\/50?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5496 and 16?\nAnswer: 10992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 - 2*k**4 - 3*k**3)*(2 + 5070*k - 5241*k - 3).\nAnswer: 342*k**5 + 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 8*p**2 + 9*p - 4. Let y be t(-9). Let n be 3\/y*((-6)\/9 + -2). Solve -h + d = 2*d + 4, -4*d - 6 = n*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + y - y + (3*y - 2*y - 3*y)*(0 - 3 + 5) + 1 - y - 1 + 4*y - 4*y - y + 19*y - 9*y + 6*y)*(-17*y**2 + 36*y - 126 + 16*y**2 + 128).\nAnswer: -8*y**3 + 288*y**2 + 16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1702 (base 16) to base 6.\nAnswer: -43134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1865 and 1.6?\nAnswer: -2984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10087973 is divided by 885.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 4, t: 2, z: 2}. What is prob of picking 1 f and 1 z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.74 take away 1791871204.4?\nAnswer: -1791871183.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 - 6*b - 15. Let t be m(-4). Is t at least as big as 4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 106*y**3 - 264*y**2 - 7138*y.\nAnswer: 636*y - 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 2*f + 3*z + 7, 0 = f + 2*z - 7. Suppose 5*x = 2*m + f, 5*m - 21 = -2*x + 2*m. Calculate the lowest common multiple of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 4:35 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/8343 and 56\/297?\nAnswer: 91773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2\/8 + 32409*y + 2100686562 = 0. What is y?\nAnswer: -129636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 30.4083ml?\nAnswer: 0.0304083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -24*g**4 - 3*g**3 + 3*g**2 + 3*g + 41. Let r(j) = 49*j**4 + 5*j**3 - 5*j**2 - 5*j - 81. Let n(c) = -3*r(c) - 5*x(c). Differentiate n(i) wrt i.\nAnswer: -108*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 1 = -j. Let q be 10\/3 + j\/3. Suppose -48*b + 171 = 9*b. Solve -6 = -5*w - 2*h, 2*w - b = h + q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/2730338 and -53\/420052.\nAnswer: 5460676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/45*(-4)\/(-2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 189630476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -13, -1, 3, 0 in increasing order.\nAnswer: -13, -4, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = m - 195. Let l = -37 + m. Suppose -2*i + v - 12 = -33, 0 = l*i + 4*v + 4. What is the highest common divisor of i and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 2*d**2 - 2*d + 1. Let t(u) = -8*u**3 - 17*u**2 - 17*u + 9. Calculate 51*h(c) - 6*t(c).\nAnswer: -3*c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -7*u**6 - 5*u**2\/2 - 5*u - 25. Find the second derivative of f(y) wrt y.\nAnswer: -840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*t**4 + 7*t - 2*t**2 + 0*t**4 + 2*t**2 wrt t.\nAnswer: -96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and -360.\nAnswer: 4320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n + 26*n = -4*m - 15, 0 = -4*n + m - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) 0.1265 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from djjdjjjjjdjjdjjjjjjj.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6835393423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -0.6. Let h = -0.4 - x. Let d = -0.27 - 0.03. Which is the nearest to h? (a) 0.4 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64\/384*(-16)\/(-6)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2676, 2673, 2660, 2631, 2580?\n\"Answer: -q**3 + q**2 + q + 2675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/((-385)\/(-14))*(-165)\/12*2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9530 is divided by 799?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 396.321g to milligrams.\nAnswer: 396321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + 0 - (4 + (-5 + -8 - -10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4874482 + 4874479.939677. Let b = -2.06 - h. What is b rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from umdmmmummmummmmmmd?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 285 = -g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24700 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.13 + -0.03. What is the smallest value in -2\/33, j, 0.01, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7159641 - 62*n**2 - 7159642 - 42*n**2.\nAnswer: -104*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2171 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -820210 smaller than -820211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -243935 and -18.\nAnswer: -243953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/3)\/(5\/15). Let i = n - 0. Let k = 0.9 - 1. What is the nearest to 1\/3 in k, -4, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*r + 5*b = -103, -3*r + 2*b = -115. Calculate the remainder when r is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 10*r + 4 = 14*r, 2*f + 38 = -10*r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = c - 2*q, -c + 3*q = -0*c - 25. Suppose 5*u = -5*p + c, -3*p - 2*u - 5 = -4*p. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123485701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1927.89278 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 7*a**2 - a + 9. Let y be s(7). Suppose 3*f = 4*i - 22, 0 = y*i - f - 4 - 6. Calculate the remainder when i is divided by -4*(7\/(-2) + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b8d76 - -3?\nAnswer: 4b8d79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w*((w\/(w\/((w\/(w*w\/(w*w\/w**15)*w*w*w*w*w*w))\/w)*w*w))\/w*w*w*w)\/w)\/w*w\/w**(1\/15) assuming w is positive.\nAnswer: w**(-301\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1\/8 (b) 4 (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 2. Give l(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -36*w**2 + w. Let h be u(1). Let r be (1 - (-20)\/(-18))\/(h\/(-30)). Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 7. Let y be f(3). Let h be (5\/(-50))\/(3\/y). Let i = 2.8 - -0.2. Sort i, h, -3 in increasing order.\nAnswer: -3, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012296 (base 13) in base 11?\nAnswer: 281a617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*c + 11 = 0, -4*b + 0*b + 29 = 3*c. Let h be 3 - (b + -6)*0\/3. Suppose -h*j + 180 = 4*s, 0*j - s = -5*j + 323. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6969266123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 48, -4, 2, -129 in increasing order.\nAnswer: -129, -4, 2\/3, 2, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkmkkkmmmmmmkkkk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 88 = -8*h. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3442 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 53 + -8?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 9:04 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -23*d + 76. Let l be j(3). Solve -6*g + l = -3*g + 2*u, -21 = -5*g - u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(6\/9)*(-1)\/7. What is the third smallest value in -4, z, -9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3606775 is divided by 73.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 29, 17, -13, -67, -151?\n\"Answer: -y**3 - 3*y**2 + 4*y + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 8:08 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1344 and 359916?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1715121 = -187*q + 505044. Do -6471 and q have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33586 and 20.\nAnswer: 335860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 55*k - 66. Let l(o) = 2*o + 2. Let u(g) = f(g) + l(g). What is the thousands digit of u(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(-4*6\/192)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -1544.\nAnswer: -1543.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-15) + 327\/545. Solve -4*t = -6*t - 2*d - 6, l = -5*t - 2*d - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 596*b = -2778 + 2555 - 20041 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 42*p - 31644. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2503, -2508, -2505, -2488, -2451, -2388?\nAnswer: -2293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2063079181?\nAnswer: 149, 397, 34877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-25) - (-102)\/(-30)*-6. Is (5 - 4204\/y)*50\/(-15) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-26 + 32 - (5 - (8 - 9) - 9)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-139 - -102) + (-17 - -60).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -465395 * 52.8\nAnswer: -24572856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 4 - 26 = -17*r + 21, 3*r - 20 = 17*b + 77 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -416033 (base 7) to base 2.\nAnswer: -10001100000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3265846, -3265875, -3265924, -3265993, -3266082, -3266191, -3266320?\nAnswer: -3266469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 - -71. Suppose s - 5*u = -v*u + 120, -3*u - 540 = -4*s. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3*-11*(-3)\/(-6)*(-132)\/(-198)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + u)*(-17*u**3 + 395 - 395) + (-2*u**4 + u**3 - u**3)*(0 - 8 + 4).\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**4\/4 + 7*v**3\/3 + 5*v**2 - 2*v - 2. Let f be l(-5). List the prime factors of -116*(f + (28\/(-8))\/7).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2490 by -1245.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 300760 a multiple of 365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/(-5)*1\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1190*f = 782*f + 42268 - 1468 for f.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 17.2. Let o = j - -7.2. Sort o, 2, -4 in ascending order.\nAnswer: -4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -404 or -2830\/7?\nAnswer: -2830\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from {s: 4, p: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-20))\/(1\/(-5)). Let n be (-1159)\/3 + t + (-16)\/(-12). What are the prime factors of (-126)\/(-189) + (n\/(-3))\/2?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b**2 - 4*b + 4. Let g(d) = -6*d**2 - 3*d + 3. Let s(u) = -3*a(u) + 4*g(u). Let o(k) = k. Calculate s(o(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15908883 to the power of 1\/2, to the nearest integer?\nAnswer: 3989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2578 - -4998. What are the prime factors of h?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.148 - -7.14784762. What is y rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*w + 17*w. Let n = 3 + w. Suppose 2*s + 5*d = -17, 6*s - n*s + 15 = -4*d. Which is bigger: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((1 - 3) + 1)*12. Let k = -11 - i. Solve 2*x - k = x, -3*c + 12 = 3*x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3237944, -12951855, -29141710, -51807509, -80949252, -116566939, -158660570?\nAnswer: -207230145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/7 + (-32102)\/(-5390). Let a = 263\/110 - m. Calculate the common denominator of 17\/14 and a.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1578375119556*h**3 + 350704798544*h**2 + 10050348*h + 72.\nAnswer: -4*(9*h - 2)*(209389*h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*a - 90*a = 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -2\/3*l**3 + 6\/5*l - 77 + 14\/5*l**2. Solve f(o) = 0 for o.\nAnswer: -1\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 21 + 18*k + 21)*(-5*k - 7 + 7).\nAnswer: 10*k**3 - 90*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3697\/34 equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 12 = 3*g, -63*r + 2*g = -61*r + 16. What is the third biggest value in 0.12, -7, 12, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a**2 + 123*a - 32*a**2 - 85973 + 85973 to h + v*a**2 + s*a and give v.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 18. Let p = 3 - x. Let o(s) be the third derivative of -s**5\/12 - s**3\/6 + 11*s**2. What is o(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 14*x. Let c(k) = -28*k. Calculate 6*c(h) + 11*g(h).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k**3 + 9*k**2 + 2*k + 4. Let l(z) = 8*z**3 + 9*z**2 + 3*z + 3. Let d(q) = -5*l(q) + 6*y(q). Let g be d(-5). Are 4\/15 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5325210 (base 6) to base 14\nAnswer: 6ac50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.36 + 310.36. Let p = x + -301. What is the second biggest value in -1, p, 1.7, 1\/3?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 46, 86, 162, 286?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 + 10 = 0. Suppose 30*d = 34*d - o. Suppose 7*b - 5*b - d*f - 12 = 0, -4*f = 4*b - 8. Solve 0 = -4*q - 4*v - 4, -2*q - 7 = -b*v + 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53642909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.81667 tonnes in milligrams?\nAnswer: 10816670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2200 + -21113?\nAnswer: -23313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-three fifths of a millennium?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(171) + sqrt(19) + -3 + sqrt(57)\/sqrt(3) + sqrt(19) - (3*((1 + sqrt(19) - sqrt(19)) + -4))**2.\nAnswer: -89 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 100 = 5*z, 0 = -2*z + 64340*b - 64342*b - 44 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1317 - -3754. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*d**2*p*w + 3*d**2*p - 83479*d**2*w + 3*d**2 + 11*d*p + p + 11 wrt w.\nAnswer: -7*d**2*p - 83479*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94\/273 - -1\/91. What is the third smallest value in -0.2, -2\/13, -30, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -47*r**3 + 3*r**2 - 5*r - 520. Let t(i) = -22*i**3 + i**2 - 2*i - 260. Let n(c) = -2*h(c) + 5*t(c). Differentiate n(u) with respect to u.\nAnswer: -48*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1460, -9853, -32706, -77249, -150712, -260325, -413318?\n\"Answer: -1205*k**3 + 42*k - 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 a when two letters picked without replacement from axfxqxq.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63 - 43 + 20 + 3*s**2 - 76*s**4 - 6*s**2 + 78*s**4 to the form b*s**2 + k + c*s + w*s**4 + d*s**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 305*l - 1194. Let k be w(6). Calculate the greatest common factor of 36 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/3*o**2 + o + 2\/3.\nAnswer: -(o - 1)*(5*o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12952 = -12*c + 10772. What are the prime factors of c?\nAnswer: 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -303*b**3 - 2*b**2 - 3*b - 2. List the prime factors of t(-1).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h**5*p + 256*h**2 + 875*h*p + 2*h - p + 3 wrt h?\nAnswer: 80*h**3*p + 512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2090 - 2088.879. Is -0.3 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -20 - 40. Let v = y + 14. What is the lowest common multiple of v and (-574)\/(-98) + 1\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 9 + -11 + -38 - -12\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 38317, 153215, 344711, 612805, 957497, 1378787?\n\"Answer: 38299*l**2 + l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-18)*10 - (1 + -12). Let x(a) = -26*a + 17*a + 2 - u + 18*a. Determine x(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 11:13 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 - 200*g + 380.\nAnswer: 5*(g - 38)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21e (base 15) to base 14.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 9:00 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1588 by -3392.\nAnswer: 397\/848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 2*k**2 - k - 1. Let j be r(2). Let q = 1486.1 + -1486.4. Which is the nearest to -5? (a) 4\/7 (b) j (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -62*o - 17. Let y be (-2)\/(-6) + 83\/3. Suppose -4*u = -g + 11, 0 = 5*g - 2*u + 7 + y. Is m(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**2 - 6*m**3 - 9*m**2 + 13*m**3 + 0*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -8*v**4 + 18*v**3 + 9*v**2 - 23*v + 4. Let x(q) = -4*q**4 + 9*q**3 + 4*q**2 - 11*q + 2. Let p(u) = 4*g(u) - 10*x(u). Solve p(n) = 0 for n.\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2. Let b = r - -0.4. Let g = b + -0.3. Sort 1\/5, 2, g in decreasing order.\nAnswer: 2, 1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -111*(-3)\/((-36)\/46). Let k(n) = 2*n**3 + 7*n**2 - 5*n + 5. Let w be k(5). Let q = u + w. What is the common denominator of q and -97\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 9*z**2 + 15*z - 4. Suppose -j = t - 9, 3*j - 8*t - 15 = -5*t. Let w be v(j). Which is the biggest value? (a) 0.5 (b) w (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o + 11. Let q be h(-4). Put q, 2, 1 in decreasing order.\nAnswer: 2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 179469 and 486?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 9 = 0, -4*l - 132 = -5*d + 95. Let h(r) = -r**3 + 4*r**2 + 2*r - 5. Let p be h(4). Suppose p = -5*y + d. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5320 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 0 + 0)*(-1 + 7 - 4)*(-1 + 5 - 3)*(-3*w + 7*w + 0*w)*(160 - 223 + 153).\nAnswer: -2160*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-5 + 2 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -i + 6*i. Let s = i - -12. Let n = 17 - s. What is the greatest common divisor of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/72 and -155\/2476824.\nAnswer: 7430472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -0.5, 2, -134?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**3 - 4*b - 4. Let a be 2 + -6 - -3 - -3. Let t(z) = -3*z - 8 + a*z**3 + 2*z**3 + 5. Calculate 4*t(p) - 3*x(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**4\/12 - w**3 + w**2 + 3*w. Let h be n(8). Suppose -6*o + h = -3*o. What is the greatest common factor of o and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3567 - 3566.9. Sort -5, 36, y, 0.5 in descending order.\nAnswer: 36, 0.5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 4*j = -15. Suppose 0 = -5*i - 4*t + 197, -j*i + t + 145 = i. Suppose 2 = -5*w + i. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11901, -47586, -107061, -190326, -297381?\n\"Answer: -11895*m**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -117433, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1454*b - 173 = -5*n - 1456*b, 3*n + 88*b - 116 = 335 for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2. Let u(g) = g**2 + 3*g + 2. Let y be u(-3). Let h be 1 - y - (-13 + 1). Let i(k) = h*k - k - k. Determine v(i(o)).\nAnswer: -162*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 20 - 0. Solve 2 = -v*m - a, -2*m + 8 = -7*m - 4*a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32371967 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 44840, -55, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.6 + -6. Let f(o) = o**3 - 7*o**2 + o - 9. Let z be f(7). Let y = 30\/7 + -113\/28. Which is the nearest to 0? (a) y (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*z + 13*z**3 + 50*z - 24*z.\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-10)\/(-3))\/((-12)\/36))\/(-2). Suppose 0*s + 4*f = -3*s, -3*f = 5*s - 11. Let c = 4 - s. Solve -2*v = -4*n - c*n + 18, 10 = g*v + n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 515 - 5?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*q + 83. Let t = q - -16. Solve -3*g + t = -5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3000 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 z when three letters picked without replacement from zpzpzzzzzzpzpzzzzz.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 81181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 80840.38 centuries in years?\nAnswer: 8084038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**3 + 7*i**2 + 4*i - 12. Let w be l(4). Let f be (147\/14)\/((-9)\/w). Is f >= 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279929 is divided by 232.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-6 + -4 + (20 - 3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 29267*b + 380473. Determine p(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*b**2 + 303*b**2 + 299*b**2 - 908*b**2 + 3*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**5 + 70*l**4 - 380*l**3 + 1000*l**2 - 1280*l + 640 = 0. What is l?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 702 and 5902.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3937597 is divided by 214?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/32*(-2)\/(-10)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p - 6. Let j be m(-4). Suppose -2*l + 0 = j. Find the common denominator of (-173)\/(-24) - (7 + l) and 123\/20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1.79474 weeks?\nAnswer: 12.56318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -881464 (base 9) to base 7.\nAnswer: -4320334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 23*v. Let o(h) = 2*h + 2. Let u(r) = -15*r - 12. Let y(t) = 6*o(t) + u(t). Determine y(f(x)).\nAnswer: -69*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -12 (b) 0.04 (c) 7 (d) 4 (e) -49 (f) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169328, -338092, -506856, -675620, -844384, -1013148?\nAnswer: -1181912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 - 56328*u\/5 + 8923554.\nAnswer: -2*(u - 771)*(u + 28935)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o + 33 + 214 - 67 = 0 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -317. Suppose c = -5*m + 1040. Let u = m + -99. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, -3, -4.\nAnswer: -4, -3, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1448 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(10) - sqrt(10)*-2)*3)\/(sqrt(5) + sqrt(60)\/sqrt(3) + sqrt(5))*-1)**2.\nAnswer: 81\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/30 and 23\/13086.\nAnswer: 65430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*h - 41, -h = -5*n - 251 + 90. Let b = 126 + n. What is the remainder when b is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 35*z + 315. Calculate s(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 261007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {j: 1, y: 11, b: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1632, 384, 3648, 8082, 13608, 20148?\n\"Answer: -13*u**3 + 702*u**2 + u - 2322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o + 40. Suppose -4*f + 5*r + 52 = 0, -2*f = 4*r - 35 + 9. Calculate the remainder when 314\/4 + 36\/(-24) - o is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00233 to five decimal places.\nAnswer: 0.00233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/12419 + -21385498\/62095. Is -345 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 33*(-5)\/(-45)*3. Find the second derivative of a*n + 10*n**2 - 4*n**2 - 15*n wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -0.2 (c) -17 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 12*k**2 - 3*k - 3. Let q(u) = -u**3 - 68*u**2 + 17*u + 17. Let a(z) = 34*p(z) + 6*q(z). Let g(o) = o**3. Determine 4*a(s) + 30*g(s).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 2. Let u(s) = s**2 + 30*s + 71. Let t be (47\/94)\/((-6)\/(-8) + -1). Let d(k) = t*f(k) - u(k). Factor d(q).\nAnswer: -3*(q + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1103520 divided by -367840\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -56, -126, -244, -422, -672?\nAnswer: -1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 5*l + 48, 5*l + 29 = -5*c - 31. Put 3, 2, -3, c in ascending order.\nAnswer: c, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (431 - 454) + (-20 - (-3 + 7))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v - 7. Suppose 4*j + 18 + 10 = 0. Let l be h(j). What is the greatest common divisor of l and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**4 - 481908*v**3 + 481874*v**2 + 7710456*v + 9638120 = 0. What is v?\nAnswer: -2, 5, 240953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 126, 142, 170, 210, 262, 326, 402?\n\"Answer: 6*v**2 - 2*v + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -61*r**3 - 7*r**2 - 6*r + 2. List the prime factors of l(-2).\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 28*y**2 + y + 5*y - 6*y + 29*y**2.\nAnswer: y**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 15. Let t = -2 + p. Find the first derivative of t*u + 17 - 4*u - 40 + 4*u wrt u.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, s: 1, c: 2, k: 1, q: 1, a: 2}. What is prob of picking 2 c and 1 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 116958.9 rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3174686899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(3 + 2) + 0\/2. Solve -c = -g - 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59744021.181 take away 26.5?\nAnswer: 59743994.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/15)*d\/(((d*d**5*d)\/d*d)\/d*d))**(-34) assuming d is positive.\nAnswer: d**(3128\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 34a9 (base 11) to base 10\nAnswer: 4596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85 - 84.8. Let k = -6 - -1. Which is the smallest value? (a) -0.5 (b) k (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -433*y + 455*y - 3*j + 22 + 217, 14 = -y - 3*j for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**5\/30 + 11*l**2. Let m(p) = 55*p - 4. Let c(s) = s - 1. Let o(v) = -3*c(v) + m(v). Calculate o(q(u)).\nAnswer: -104*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146628*p**2 - 145748*p**2 + 4 - 4.\nAnswer: 880*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 174 + -169. Let j(v) = v**2 - 9*v. Let b(g) = 2*g**2 - 17*g. Let d(q) = 4*b(q) - 7*j(q). Determine d(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*t - 6297 = 0, 2*d - 286 = 2*t - 2804. List the prime factors of 1\/(-5) - -63*d\/(-65).\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2740 is divided by 705?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 48, -4, 3, -3, 6587 in decreasing order.\nAnswer: 6587, 48, 5, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbj when three letters picked without replacement from uvjgbgbubuuuk.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2887105 nanometers to micrometers.\nAnswer: 0.0002887105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 20*t**2 + 238*t + 531. Determine j(-4).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 3*u**2 + 3*u - 2. Let c be v(-3). Suppose -f + 2*y = -21 + 7, -3*y = -f + 18. What is the lowest common multiple of f and -18*(3 - c\/(-3))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8*t + 5*t - 11*t)*(10 + 0 - 2 + (1 - 1 - 3)*(-3 - 1 + 3)).\nAnswer: 22*t - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 431 - 425. Solve -c = 1 - x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2052a1 (base 11) to base 8.\nAnswer: 1202626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2275*k - 25. Suppose c + 3*p + 16 = 4*p, -2*p - 25 = c. Let v be t(c). Round v to the nearest 1000.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15231\/22 + 694. Find the common denominator of k and 67\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/22038480 and -169\/2319840.\nAnswer: 44076960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brhrcbrbbfcb. Give prob of picking 1 b and 1 f.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3841 - 2657. Let l = -1267 + q. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 26.9. Let g = 32 - z. Which is the closest to -1? (a) g (b) -2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.19 + 0.39. Which is the nearest to m? (a) -3 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 665499587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2, 40, 100, 182, 286, 412, 560?\n\"Answer: 11*d**2 + 5*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58056 is divided by 117?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - (2 + -1))*118\/6. Suppose -n = 4*u - l, -3*u = -u - 4. List the prime factors of n.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/36)\/(-11)*-3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 58713*v**2\/8 + 33813*v\/8 - 6225\/2 = 0.\nAnswer: -1, 8300\/19571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -15. Suppose 2*f = -5*x + m, 5*x + 1 = f - 1. Suppose 0 = -0*h + f*h - 5*i - 76, h - 36 = 3*i. Round h to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -478 - 3?\nAnswer: -47b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(209) + sqrt(209)*-2*-4 + sqrt(209)))\/(1*sqrt(891)*-4).\nAnswer: 10*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/15)\/((-2)\/(-3)). Let w be 4 + (1 + -3)*m. Solve w - 2*c**2 + c**3 + 5*c - 3*c - 3*c = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11c848b (base 14) to base 16.\nAnswer: -827b2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -3\/11 (c) -3\/40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 283 - 281. Solve 5*m = -5*y - 5, -5*y - j*m = -2*y + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.688 + -0.098. Let a = 0.4 - g. Let u = -0.12 - a. What is u rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*x**5 + 12*x**5 + 26*x + 19*x wrt x?\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 2. Let v(s) = s + 1. Let u(d) = -71*d + 349. Let a be u(5). Calculate a*v(p) - 2*z(p).\nAnswer: -4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178279505, -178279508, -178279511?\nAnswer: -178279514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = -5*h + 21. Let o = h - -16. Round o to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 1946740*s + 68131000.\nAnswer: 4*(s + 35)*(s + 486650)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/25 of a meter?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3626 is divided by 402?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i. Let a be v(1). Let x(l) = -l**3 + 4*l**2 + 6*l + 3. What is the smallest common multiple of 2 and x(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((-3)\/(0 - 1)). What is the closest to -1 in 4, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 101605443*v + 104478310 wrt v?\nAnswer: 101605443","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g. Let w = 32 + -22. Let f be ((-16)\/w)\/(2\/(-10)). Suppose -2*t = 2*t - f. Give b(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 13*m**2 - 4*m + 14. Let l be b(4). Let s = l - 206. Solve -4*y + 10 - 14 = s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/5*(-810)\/(-3078)*((-133)\/938)\/(-1).\nAnswer: -1\/134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + j - 2. Let a be m(-2). Suppose a = -78*k + 82*k - 8. Let n(b) = 4*b - 7. Let q(g) = g - 2. Determine k*n(z) - 9*q(z).\nAnswer: -z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 g when four letters picked without replacement from vvaggvagvv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.56023 and -0.3.\nAnswer: 0.26023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**8\/l**5)**35 assuming l is positive.\nAnswer: l**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-2\/13)*y**(-3\/8)*y*y*(y**2\/y)\/(y*y*y**(-3)*y*y) assuming y is positive.\nAnswer: y**(289\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9271930*m**3 - 9272576*m**3 + 18544541*m**3.\nAnswer: 35*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17594*q**2 + 22200*q**3 + 35180*q**2 - 17586*q**2 + (q**2 + 0 + 0)*(5*q - q - 2*q) to v*q + x*q**2 + u*q**3 + c and give u.\nAnswer: 22202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, -8, 4, 0, -5, 1 in decreasing order.\nAnswer: 4, 1, 0, -5, -8, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2, -5, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1530818 to the power of 1\/2, to the nearest integer?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1192*w - 1192*w + 1032*w**2)*(-4*w**2 + 0*w**2 + 3*w**2) to the form c*w + s*w**3 + v*w**4 + n*w**2 + b and give v.\nAnswer: -1032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112212110121 - -1?\nAnswer: 112212110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1937066 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47.06944 + 0.06944. Sort 3\/7, -16, m.\nAnswer: m, -16, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 632 - 10750\/17. What is the second smallest value in -1\/51, t, 0.4?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -10 + 3 + (16 - 11) + 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23026105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.78 + 7.78. Let m(l) = 4*l - 15. Let x be m(-5). Let f be (4\/x)\/(80\/(-56)). Sort 0.4, -3, f, k in ascending order.\nAnswer: -3, f, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 3*t**2 - 1. Let l(f) = -f**2 - 9*f + 7. Suppose -2*m + 55 = -4*d + m, -3*m - 15 = 3*d. Let k be l(d). Is j(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3102\/9*(-9)\/(-6). Calculate the greatest common divisor of 235 and h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(2*z + 0 + 0)*(-10*z**4 + 2*z**4 + 12*z**4).\nAnswer: -16*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*a - 627186 + 627186.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/8954 and -29\/7?\nAnswer: 62678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60277 or -60276?\nAnswer: -60277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2 + 1 - 1277*a + 1296*a - 4. Let g be r(5). Suppose t - 7 = 3. Calculate the greatest common factor of g and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 22*o**2. Let c(x) = 9*x. Determine c(h(k)).\nAnswer: 198*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 1995?\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 + 8. Does 27 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*i + 3*r + 9, -4*r = 20. Solve -10*m - i*m = -12*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3235 - 9577\/3. Let b = 43 - c. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*a**3 - 5*a**2 - 3*a + 2*a**4 + 31*a**3 + 9*a**2 - 1 in the form w*a + k*a**3 + v*a**2 + s + o*a**4 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/28*7 + (-38)\/(-4). Suppose -m + y = -5*p, 7*p + 4*m = 3*p - 28. Let b(v) = v**2 - 2*v - 1. Give b(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b. Suppose -24 = t - 7*t. Let y(i) = -t*i**2 - i**2 + i**2 + i**2. Give p(y(w)).\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3670869 litres?\nAnswer: 367.0869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34139546 is divided by 76546?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105163?\nAnswer: 103, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.1258 - 0.2358. Round v to 1 decimal place.\nAnswer: 10.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3794?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (-2 - -1) + 8. Calculate the highest common divisor of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 + -5.5. Let w = 2 + c. Let j = 23 - 71\/3. What is the smallest value in j, 0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*o = -34*o + 8. Let g(n) = 18*n**3 - 17*n**3 - 2 - 2 - 6*n + 3*n**2 + 0. Give g(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*j - 47*j + 150*j + 368*j.\nAnswer: 533*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = -3*x - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*o - 6*o - 1, -o - 3 = -z. Suppose 202 + 28 = z*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.33115 centimeters to kilometers.\nAnswer: 0.0005233115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15229 + 463832.\nAnswer: 479061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 6:02 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-2 - (-1 + 5))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 65. Let s = 127 - j. What is the highest common factor of s and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6*s**3 - 7*s**2 - 6*s + 6. Let x(v) = -11*v**3 - 15*v**2 - 13*v + 13. Let h(b) = 13*f(b) - 6*x(b). Find the third derivative of h(z) wrt z.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.9163 + 9994635273.\nAnswer: 9994635267.0837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -848.\nAnswer: -3\/848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 0 - -2) + (-3 - -10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 2*a - 4. Let h be i(3). Let v be (-4)\/(0 + 1 - 2) + 3. Let t(d) = 0*d**2 - 69*d + 34*d + v*d**2 + 34*d. What is t(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47378 is divided by 1400.\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 6*k**2 + 9*k - 6. Let q(g) be the first derivative of -g**4\/4 - 3*g**3 + 23*g**2\/2 + 18*g - 133. Let y be q(-11). Determine m(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26590481 + 6065993 = -24*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1070 times -0.5?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 36592 times 0.4\nAnswer: 14636.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 3*b + 4*p - 22, 0 = 2*b + 2*p - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, f: 16}. Give prob of picking 1 g and 2 f.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 551582*x**3 - 26670*x**2 - 1?\nAnswer: 3309492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 3dd?\nAnswer: -3de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n**3 + 4*n**2 + 3*n + 7. Let p(h) = 11*h**3 - 8*h**2 - 6*h - 14. Let c(v) = -9*m(v) - 4*p(v). Give c(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 6:25 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/5 (b) 2\/17 (c) 169\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**3 + 35*m**2 + 22*m + 1. Let a be y(-11). Suppose 11*v = 23 - a. Let q = -4 - -12. Sort q, v, -2.\nAnswer: -2, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -48 in 27, -0.54, 1\/8?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.5, 0.03, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*sqrt(425))**2 + ((1*sqrt(187))\/sqrt(11) + sqrt(102)\/sqrt(96) + sqrt(17))**2.\nAnswer: 100*sqrt(17) + 28977\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16032348 (base 10) to base 3\nAnswer: 1010011112020200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-2*(-3)\/(-48)). Suppose v - 5*v = -c. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, d: 4, c: 4}. What is prob of sequence nccd?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 5*k**2 - 10*k + 32. Give x(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3\/3 + 68*c**2 - 1664*c - 10816\/3 = 0. Calculate c.\nAnswer: -2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 457 - 234 - 224. Let l(y) = 4 + 4 + 3*y**2 - 4 - 5*y**2. Calculate -3*l(t) - 12*x(t).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-178 - 158 + 113)*(10*i**3 + 0*i**3 - 7*i**3 + i).\nAnswer: -669*i**3 - 223*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 - 21*j**2 - 11*j - 16. What is t(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 9763378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12 + -3)\/(-9)*16\/88. Put 4, 2, -1\/4, -0.04, i in ascending order.\nAnswer: -1\/4, i, -0.04, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -1\/270*o**5 + 0*o**3 + 0*o + 0*o**4 + 0 - 6*o**2. Factor u(j).\nAnswer: -2*j**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174 and 783.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0, -54\/37, -0.3, 2, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1716*t - 6 = -1714*t - v, 3*t = v - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.05716717.\nAnswer: 0.017150151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 1:32 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*((6 - 6) + (-1 - 0)). Put -4, a, 2 in descending order.\nAnswer: a, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9\/26 - 2\/13. Suppose -4379 = 5*g + 2*i, -i - 3506 = 4*g + 2*i. Let l = g + 872. What is the smallest value in l, -2, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**4\/12 - 5*f**3\/6 - 2*f + 113. Suppose 3*a - 2*l - 10 = a, 4*a + 3*l - 13 = 0. What is s(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-33))\/(-2 + 4 + -4). Which is the closest to -1? (a) v (b) 1\/4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.7 and -42.4.\nAnswer: -368.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 36. Solve 4*h + p + 7 = -1, -4*h = -3*p - f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b = 116. Let u = b + -25. Suppose -u*t + 324 + 276 = 0. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -500 + -240600?\nAnswer: -241100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -0.1 (c) -64 (d) -3\/4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 300439*d**3 - 6*d**2 + 14770*d wrt d?\nAnswer: 1802634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 6*j - 4*j. Suppose -u - 5 = -0, -j*z = 3*u - 15. Solve 2 + z = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/3015 - 2704\/207298?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 2457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 87?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 2, -97, -3\/125, -0.2?\nAnswer: -3\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 18*r - 19*r - 11, -5*f + 23 = 2*r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 = -4*s + 11*s. What is the least common multiple of s and 3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 1:16 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 208024, 416194, 624382, 832588, 1040812?\n\"Answer: 9*l**2 + 208143*l - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-36) + (-7)\/(-4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 7*j + 7*j + 819*j**2 + 1 - 813*j**2 + 4 - j. What is k(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Let h be ((-1159)\/183)\/(9\/(-27)). Solve -2*q = -r - 2*r + h, u = -r + 3*q + 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d. Let z(x) be the second derivative of -9*x**3\/2 + 12*x**2 + 26*x. Let i(u) = u - 1. Let l(w) = -72*i(w) - 3*z(w). Give n(l(g)).\nAnswer: 63*g","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2559 is divided by 1266?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + 0 - ((sqrt(475))**2 + -1 - sqrt(19)).\nAnswer: -474 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 477*a + 724*a**2 + 477*a.\nAnswer: 724*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -23*m**3 + 72*m**2 - 12*m + 1162. Let i(a) = 0. Calculate a.\nAnswer: 2\/23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/1)\/(2\/10). Which is bigger: g or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -161542*j*n**3 - 955*j*n + 2*n**2 - 33*n wrt n.\nAnswer: -969252*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1000010100110?\nAnswer: 1000010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 236*m**3 - 14*m**2 - 876*m + 8. Let v(h) = 157*h**3 - 9*h**2 - 584*h + 5. Let f(t) = -5*r(t) + 8*v(t). Find the second derivative of f(a) wrt a.\nAnswer: 456*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1170 - -1172. Let r(l) = -27*l - 2. Determine r(t).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -584181 times -2?\nAnswer: 1168362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 574?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 23*w. Let j(z) be the first derivative of -35*z**2 + 7281. Calculate n(j(l)).\nAnswer: -1610*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -95, -985 in descending order.\nAnswer: 37, -95, -985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 6:51 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 2:39 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53205*i**3*s**2 - 60*i**2 - 4*i*s**2 - 40*s**2 wrt i.\nAnswer: 319230*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3 - 5. Let d(w) = 2*w**2 - 2*w - 3. Let y be d(t). Suppose 0 = b + 2*l - l - 7, -2*l + y = b. Put -2, b, 0.5 in descending order.\nAnswer: b, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*d - 264 = 13*d. Put -2, 4, -5, d in decreasing order.\nAnswer: d, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1\/4, -16, 3\/5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-12))\/(14\/2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -166, -95, 110, 521, 1210, 2249, 3710, 5665?\n\"Answer: 12*m**3 - 5*m**2 + 2*m - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -589*k*t*y**3 - 18*k*t*y**2 + 2471*k*t*y - 19*k*y**3 + t*y**3 + t*y**2 + 20*t*y + y**3 wrt y?\nAnswer: -3534*k*t - 114*k + 6*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8171*g**2 + 2*g**3 + 8171*g**2.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/159232 and 25\/896.\nAnswer: 1114624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.24747 grams in kilograms?\nAnswer: 0.05824747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3758, 7523, 11290, 15059, 18830, 22603, 26378?\nAnswer: 30155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 1 - 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0689 and 0.6.\nAnswer: 0.5311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 108\/(-21) + 11\/77. What is the biggest value in x, -2, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39 - 45 - (-10 + -5)) + (55 - 5)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 35, -2.02, -2299 in decreasing order.\nAnswer: 35, -1, -2, -2.02, -2299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 8*o**2 - 9*o + 16. Let u be j(7). Let t(n) be the first derivative of -4\/3*n**3 + 0*n + n**2 + 1\/2*n**4 - u. Factor t(f).\nAnswer: 2*f*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m. Let v(x) = -x - 11*x + 37*x + 2*x. What is v(l(d))?\nAnswer: -162*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.7 (c) 2\/7 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2260 - 2262. Which is the third smallest value? (a) y (b) 5\/2 (c) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7355, 7359, 7363, 7367?\n\"Answer: 4*q + 7351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**2 + 4080*u + 41300 = 0. Calculate u.\nAnswer: -10, 826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/294 and 109\/24?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/10 - 46\/(-10). Let a be ((-32)\/36)\/(-4) - 25\/(-9). Suppose 4*m - a*q = 6, -m + 2*q = -c*m - 4. Which is bigger: -9\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -135 - -140. Suppose 0 = i + 3*g - 7*g - 175, a*g - 658 = -4*i. Round i to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of u**7\/315 - u**6\/180 - u**5\/90 + u**4\/36 - 3*u**2\/2 - 1. Let j(y) be the second derivative of d(y). What is g in j(g) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/5 (b) -0.01 (c) -2\/3 (d) -0.2 (e) -8502\/25 (f) 0.2 (g) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -d + 171 + 211, -5*d + 1835 = -5*s. Is 30 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 - -318. What is the remainder when u is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -693 + 5 - (-2 + 1). Suppose 31 + 14 = 5*b. What is the remainder when c\/(-21) + 6*3\/63 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*c + 16 = 26, 0 = 3*c. Suppose -4*i + 5*t - t = 0, 4*i + h*t = 0. Let o(a) = 2*a - 1. Let j(k) = -5*k + 2. Let p(u) = 3*j(u) + 8*o(u). Give p(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*d**2 - 1 + d**3 - 2*d + 23*d**2 - 39*d**2 to u + s*d + n*d**3 + j*d**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.089 + -0.0607. Round q to three dps.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 146*h**2 - 4*h - 4. Let j(x) = -48*x**2 + x + 1. Let v(u) = -7*j(u) - 2*r(u). What is the units digit of v(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - m**2 + m. Let j(f) = 3*f**3 + 4*f**2 - 5*f. Let k be (-62)\/22 + 3 - (-20)\/11. Calculate k*j(a) + 10*b(a).\nAnswer: -4*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 6 + 9. Suppose -5*d - 20 = 3*b, -4*b - p - 5 = 2*d. Let x(a) = -a + 10. Is 5 a factor of x(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 - -5?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3624 times -0.4?\nAnswer: 1449.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*g = 6. Suppose 0 = -y - 5, 0 = 2*u + g*y + y - 17. Let q be u\/108*3\/(-2). Which is the closest to 0? (a) q (b) 0 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100101101110111010001 (base 2) in base 13?\nAnswer: -8c9448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -v**3\/3 - 11*v**2\/2 - 15*v - 11. Let x be r(-9). Suppose a = x*k - 18 - 13, 0 = a - 5*k + 37. Is a bigger than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23.55 - 23.88. What is the closest to 3 in 1\/2, -4\/9, s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 19568328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 10:22 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1640*x = -1684*x + 88 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14435 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434439 is divided by 207?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 1\/111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 13*x**2 + 26*x - 20. What is the tens digit of u(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/9 - 76*i\/9 + 3972080\/3 = 0. Calculate i.\nAnswer: -2460, 2422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**2. Let m(u) = 5*u - 83 + 3*u + 69 + 29. Calculate m(y(s)).\nAnswer: 40*s**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-12)\/(-4) - 3)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3721084 divided by 4?\nAnswer: 930271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3225 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99905539\/399 + 250390. What is the common denominator of -99\/74 and u?\nAnswer: 29526","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2010188 rounded to four dps?\nAnswer: -0.201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23767 - 71296\/3. Let r(b) be the first derivative of -5*b**2 - 29 + 5\/4*b**4 + n*b**3 + 0*b. Factor r(q).\nAnswer: 5*q*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2337 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 111001020202012 (base 3) in base 5?\nAnswer: 3233331320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13872 = 32*i - 12784 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 218809801 to the power of 1\/3, to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1467040.8 months?\nAnswer: 12225.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 11*u**2 - 7*u + 9. Give l(-6).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.51, -127\/5, 0.22, 1, -1, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -31 - ((0 - -2) + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 + -0.7. Let x be ((-2)\/(-3))\/(1\/(-3)). Let h be 4\/x - (-18)\/8. Are l and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -0.01, -4\/25, -0.4, 0.05 in ascending order.\nAnswer: -0.4, -4\/25, -0.01, 0.04, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8966344?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1797 and -19758\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1040369049 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7444 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 - 356*o + 8106. Calculate h(88).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1 = -19. Suppose 2*l - 1 - v = 0. Suppose -l*g = -10*g. Solve 0 = 3*r - g*r - 4*n - 7, -16 = 4*n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3647.66 + -3617. Let p = -30.6 + b. What is the nearest to p in 5, 3\/7, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2 - 214*p - 142. Let k be r(72). Which is the closest to k? (a) 0.2 (b) -8 (c) -6 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*b + 12, -y = 2*b - 8. Let s(t) = -t + 0*t + y*t + 2*t. Let c(f) = 2*f + 3*f + 2*f. Calculate s(c(z)).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8598 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1116 and 1860?\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -429, -459, -509, -585, -693?\n\"Answer: -r**3 - 4*r**2 - 11*r - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 154 = 2*m. Let t = 236 - m. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 - 62*k + 7 - 287*k + 19 to w*k + r and give w.\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23526, -39863, -56202, -72543, -88886, -105231, -121578?\n\"Answer: -w**2 - 16334*w - 7191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 d when three letters picked without replacement from ddrddxx.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73787448*x**3 - 77*x + 1381298 wrt x?\nAnswer: 442724688*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -3. Suppose -z + 2*p = -t, 3*z = -2*z + 4*p + 3. Sort -5, -3, z in increasing order.\nAnswer: -5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -10*f**3 - 13*f**2 - 13*f - 27. Let c(m) = 3*m**3 + 4*m**2 + 4*m + 9. Calculate 13*c(o) + 4*h(o).\nAnswer: -o**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6432*k - 134250 = 571*k - 120429 - 398986 for k.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*r - 42*r + 46 + 15*r + 18*r wrt r?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3123 - 10?\nAnswer: -3133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -236 and -234 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -69 - (-70 - -11 - 25)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 366, 361, 344, 309, 250, 161?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10933 is divided by 2731?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25\/60*2\/5. Let m = -323 + 322.8. What is the nearest to m in -3, -1\/2, k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-351\nAnswer: 1755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 8:35 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 499482 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/36*211\/(116683\/(-474)).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtv when three letters picked without replacement from ttqqqzttqtqmyqqvqtmq?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51027*u**3 - 3*u + 101683*u**3 - 50810*u**3 + 3*u.\nAnswer: -154*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5263444?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*b**4 + 98*b**2 - b - 98*b**2 + b**3 to the form g*b**3 + w*b**4 + p*b**2 + j*b + h and give w.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*a**2 - 5*a + 5*a - 22*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -10. Let q = 1.9 - 4.9. What is the smallest value in z, -2, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000100011101 + -10?\nAnswer: -1100000100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 55041269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 3*v - 3, v + 9 = -2*v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**1*w)**(1\/2)\/(w**1*w**(-2\/5)) assuming w is positive.\nAnswer: w**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 121*-154\nAnswer: -18634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 9*a - 2. Let b(r) = -4*r + 1. Let v(z) = 5*b(z) + 3*c(z). Let f be v(5). Calculate the greatest common divisor of 17 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*20\/(-15) - 3. Suppose 0 = q - 4*q + 15. Let k(j) = 3 - 5*j - q + r + 0*j. Calculate k(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33405550?\nAnswer: 2, 5, 668111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 8 = 3*z, 5*j - 5*z = j + 9. Let f = -29 + 24. Which is the closest to 1? (a) j (b) -3\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 21. Let i be w(-7). Let c = -436 - -744. Calculate the greatest common factor of c and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83465 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2. Let p(u) be the third derivative of u**4\/24 - 4*u**3\/3 + 2*u**2. Calculate 2*p(z) + 9*q(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2620 (b) 8 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from petjjpjeetjjejpxeepe. Give prob of picking 1 j, 1 e, and 1 t.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 25*k + 37 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2228 is divided by 66.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 g, 1 s, and 1 d when four letters picked without replacement from {a: 1, d: 1, s: 1, g: 3, w: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3270.161 millennia in centuries?\nAnswer: 32701.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 + 6. Let w(q) = -7*q**2 + 18. Let z(o) = 3*f(o) - w(o). Let u(i) = 176*i. Calculate u(z(p)).\nAnswer: 176*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 5*y - 2. Determine h(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -168, -7, 38, 3, -3, 5.\nAnswer: -168, -7, -3, 3, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 2:09 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 138 = -4*u, 2*u - 7*u - p + 177 = 0. Calculate the remainder when u is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 + 7 - (5 - (12 + 13))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*p + 22. Which is bigger: 9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16203 by 5.\nAnswer: -16203\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277.4141l to millilitres.\nAnswer: 277414.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 279, 260, 239, 216, 191?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**3\/2 + 2025*g**2\/2 - 134520*g + 5833760 = 0.\nAnswer: 101, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -504.8907 rounded to the nearest ten?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 - 330324140?\nAnswer: -330324203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/(75\/(-20))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d - 3. Let y be s(-2). Let h(o) = 5*o + y*o + 9*o - 6. Is h(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**20*g*g**(1\/5)*g)\/(g**(10\/11)\/(g\/g**(2\/59))) assuming g is positive.\nAnswer: g**(72224\/3245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1832, 3658, 5472, 7268, 9040, 10782?\nAnswer: 12488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 159727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 5075.\nAnswer: 15225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (37 + 4870*v + 3*v**2 - 4870*v)*(-65 - 26*v**2 + 65) in the form h*v + q*v**2 + b + g*v**4 + d*v**3 and give g.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k**3 - 5*k**2 + 3*k**2 - 7*k**3)*(1 + 2 - 5) as p*k**2 + v + r*k**3 + u*k and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/5 + -2)*(-2)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 4*l**2 + 3*l + 1. Suppose 2*j + 4*f - 20 = 0, -3 + 9 = 3*j - 2*f. Calculate s(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n**2 + 47*n - 9. Let j be z(8). Let b = j + 25. Solve -5*y - 3 = -b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 9*s + 16*t + 49 = 0, 4*t + 4 = -2*s - 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125413271 and 724.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.70061 + -10.7. Round i to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287697 is divided by 175?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**(3\/7)\/i))*i*i**(2\/9))**(1\/72))**(3\/28) assuming i is positive.\nAnswer: i**(41\/42336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/10896 and 59\/512?\nAnswer: 348672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 64*y - 66*y + 20, y - 11 = 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 249, 1\/291, -77\/3, 5?\nAnswer: 1\/291","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m - 3 + 3)*(2*m**3 + 28 - 28) + (-4 + 1 + 15)*(0*m**4 - 3*m**4 + m**4) - 2*m**4 - 2*m**4 + 3*m**4 as i*m + o*m**2 + f + x*m**3 + p*m**4 and give p.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 12. Calculate the smallest common multiple of i and ((-12)\/10)\/(22\/(-55)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16.32 from -86.\nAnswer: -102.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 186.7, -3, -13 in increasing order.\nAnswer: -13, -3, 186.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3946 + 3946.500044. Let o = 0.5 - l. What is o rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/9)\/(4\/36). Suppose 0*d - c*d + 41 = 4*k, -24 = -2*d - 2*k. Solve 0 = 4*m - d*m + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4 - (-198)\/4. Let q = 38 + f. Calculate the highest common divisor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*g**2 - 36*g + 37*g + 50 - 151 wrt g?\nAnswer: 14*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 8. Solve w*l - 11 = -1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -934a (base 13) to base 12\nAnswer: -b932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-178)\/((-5 + 7)\/(-1)).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**3 + 2*r**2 - r. Let q = -9 - -8. Let b be ((-9)\/3 - -2)*q. Let n be p(b). Calculate the highest common factor of n and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from xaxg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f - 1. Calculate the remainder when 245 is divided by x(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*q - 3 - 223*q + 117*q + 3.\nAnswer: 41*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 495 and 6346845.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*a + 20 = 0, -a = 4*k + k + 5. Suppose 2*b - 1 - 11 = k. Is (14\/b)\/(5\/30) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4260941 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 717497.3 hours in milliseconds?\nAnswer: 2582990280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 9458*q - 48 - 9447*q.\nAnswer: 11*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49312\/(-2680))\/((((-126)\/30)\/7)\/(3\/2)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 788762747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 1:04 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19088373*z**3 - 38176730*z**3 + 19088337*z**3.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97558 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 203*h**2 - 1098*h - 535. Determine m(6).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 16) to base 10\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f + 6. Let a be s(7). Suppose x + 4*x + a = 0. Which is bigger: x or -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2176, 3240, 5010, 7486, 10668?\nAnswer: 14556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 8*s = 3*s + 29, -12 = -3*s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/9, -1\/4, -2, -2.4, 1.2, -0.3, -2\/147?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -49558.2 to the nearest 100.\nAnswer: -49600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knpn when four letters picked without replacement from uwnnwkwkukkwkwspk?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6544.9972 take away -0.0864688?\nAnswer: 6545.0836688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 83 = -23. Suppose -j*t + 39 = -6. Suppose 0*x - 2*x = 10, -4*d + t*x - 919985 = 0. What is d rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 65 = -5. Let n = -93 - -88. Let c(b) = b**3 + 8*b**2 + 12*b - 3. Let g be c(n). What is the highest common divisor of u and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 2*b**2 + 2*b**2)*(2 - 2 - 2*b) + 4747*b**2 + 107*b**3 - 4747*b**2.\nAnswer: 109*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-2)*w)\/w)**7)**(-1\/9)\/((w**(-7)*w**(-1)\/w*w)\/(w*((w**(4\/7)*w)\/w)\/w*w*w**(3\/7)\/w)) assuming w is positive.\nAnswer: w**(88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 177592 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(171) - (sqrt(171)*1 + sqrt(171))*3)\/sqrt(9) + -2*sqrt(1900) + -2 + 1*sqrt(1900)*4)*-1)**2.\nAnswer: -90*sqrt(19) + 4284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f**2. Let i(t) be the second derivative of t**3\/6 - 29*t. What is i(b(d))?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 12*v + 22. Let j be k(11). Suppose 4593 = j*b + 589. Is 28 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68319.\nAnswer: 3, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {a: 11, j: 9}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 12*g**2 + g - 244. Give h(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 8 + 0 = 0. Let p be (s - -4 - 2)\/1. List the prime factors of (2*21 - p)\/2.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13\/3 - -74\/15. Calculate the common denominator of 33\/7 and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 940, 1921, 2936, 3985, 5068, 6185?\n\"Answer: 17*q**2 + 930*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c + 9925?\nAnswer: 9908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/3)\/((-10)\/(-2))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1, -3, 0.094 in ascending order.\nAnswer: -3, -1, -0.1, 0.094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/6 - (-102)\/18. Let n = 0 + g. Suppose -26 = -5*i - n. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 + 145*o**2 + 1372*o + 415. Determine y(81).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + ((sqrt(80) - 3*sqrt(80)) + sqrt(80))*-2 + sqrt(80))*5 + -3*((sqrt(80)*-4 + sqrt(80) - sqrt(80)) + 0))**2.\nAnswer: 81920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -43*y**5 - 5*y**3 - 14*y. Let u(b) = 65*b**5 + 8*b**3 + 21*b. Let n(q) = 8*l(q) + 5*u(q). What is the second derivative of n(d) wrt d?\nAnswer: -380*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14739765 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**2 - 13*s**2 + 9*s**2 + s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 232 - 3014\/13. What is the third smallest value in 1, 3\/2, t?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*h*w**3 - 9*h*w - 3*h + 536*w**3 + 47*w wrt w?\nAnswer: 90*h*w + 3216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 11*n**2 - 10*n - 3. Give s(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000026143 to seven decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.55 and 247.54.\nAnswer: 248.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -j - 2*l - 144, j - 42 = -l. Let w be (-50)\/(5 - j\/8). Round w to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1787, -1784, -1779, -1772, -1763, -1752?\nAnswer: -1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**3 - 3*k**2 - k + 2. Let x be o(0). Let -f**4 + 0 + 1\/4*f**5 + 5\/4*f**3 - 1\/2*f**x + 0*f = 0. Calculate f.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*i - 12*i - 26*i to f + j*i and give j.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-6)\/(-8))\/3)\/(5\/40). Let j(t) = 2*t - 3. Give j(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, j: 1, l: 12}. What is prob of sequence lcc?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(((n*n**(-1))\/n)\/n)*n**(-5))**(16\/9))**(-8\/5) assuming n is positive.\nAnswer: n**(256\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -281366 - -0.03367.\nAnswer: -281365.96633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = i + 4*n, -2*i - 12 = -n. Let w(j) = -5*j**2 + 5*j + 14. Let c(o) = -o - 1. Let r(g) = i*c(g) - w(g). What is the derivative of r(z) wrt z?\nAnswer: 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 393\/5 - 79. Which is the nearest to s? (a) 0.3 (b) 3\/4 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13615 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 11*a. Let n(j) = 5*j + 30. Let o(q) = 1. Let i(c) = n(c) - 30*o(c). Let x = -17 + -9. Let h be x\/(-10) + (-2)\/(-5). Calculate h*z(d) - 7*i(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 14.14.\nAnswer: 5.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 3. Let l(q) = 6*q - 2. Let w(v) = -v. Let h(x) = m*w(x) + l(x). What is h(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*z - 16 = 0, 16 = -d - 7*z + 3*z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77544308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from {e: 6, r: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 + -4. Suppose -7 + a = -q. Let g = q - -38. Sort 3, -6, g in descending order.\nAnswer: 3, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 9:22 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 7*q + 16 - 5 as x*q + z and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**3\/8 + 209*o**2\/8 + 5391*o\/4 - 910 = 0 for o.\nAnswer: -35, 2\/3, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 753 - 3178. Let k = r + 8395. Let t(l) = -5970*l + k*l - 7*l**2. Let v(f) = -f**2. Determine v(t(p)).\nAnswer: -49*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.25532 times -252?\nAnswer: 2080.34064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**3 + w**4 + 0*w**3 + w**4 - w**2 + 3*w - 2*w to q*w**3 + v*w**2 + j*w**4 + n + h*w and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, 33, 75, 127, 183, 237, 283, 315?\n\"Answer: -p**3 + 14*p**2 - 9*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2454117354?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (782 + 6*g - 784 - 807*g**2 - 5*g)*(-8 + 8 - 17*g) to j*g**3 + f + c*g**2 + d*g and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10329 + 15650. Is r at most 5320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -3 - 15 - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07324 and 0.5.\nAnswer: -0.03662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 2*b + b**3 - 2 + 2*b**4 - b**3 to q*b**2 + z*b**4 + g*b + n*b**3 + u and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-5)\/20*(-7 + -1). Suppose -12*r + 48 = -n*r. Let l be ((-2)\/r*2)\/((-22)\/6). What is the smallest value in -2, l, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 13906 = 3*n, 8*c = -2*n + 4*c - 9244. Let y be 2\/(-6) - n\/345. Let l = y - 13. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 318 + -313. Let p be (0 - 45)\/(h\/(-5400)). Round p to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79065982 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 2:47 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1030*x = 1025*x + 45. Let y be 1 - (2 - 5 - (x + -13)). Solve -2*h + 8*h - 30 = y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 9*o**2 + 3*o - 2. Does 40 divide k(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 1752 = 481. Let s = -150 - f. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221011201211022 (base 3) to base 7.\nAnswer: -221502305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**(-2)*z)\/z*z*z**(-6)*z**(-2)*(((z**0*z)\/z)\/z)\/z)**(-2\/17) assuming z is positive.\nAnswer: z**(20\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-369)\/(-4))\/9*8.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 6:51 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-76)\/132*6*1 and 97\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2\/3 - 16*f - 54 = 0. What is f?\nAnswer: -3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w = -21*w. Let p(x) = -2*x - x + 1 + w*x + 0. Give p(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4641*h - 1090. What is the hundreds digit of s(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 2\/23 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -209070.69 times 0.2\nAnswer: -41814.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-42)\/4)*(-6)\/(-10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2935 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 22260241.09 to the nearest one thousand.\nAnswer: 22260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q. Let w(c) = -8*c - 7*c + 17*c + 42*c. What is -52*r(o) - 6*w(o)?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*j + 6 + 41, -4*j = 4*p - 20. Let x(t) = 5*t**2 - 37*t + 20. What is the remainder when 170 is divided by x(j)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164425?\nAnswer: 5, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(140\/(-14)))\/((2\/(-1))\/22)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2313032 (base 4) to base 3\nAnswer: 121002022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -972, -1032, -1132, -1272, -1452, -1672, -1932?\nAnswer: -2232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 2:58 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -27*n - 22. Let v(a) = -9*a - 7. Suppose -p = -3*r - 83, 4*r + 79 + 77 = 2*p. Let q = p + -64. Let i(z) = q*j(z) - 14*v(z). Differentiate i(m) wrt m.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.028? (a) -21 (b) -5 (c) 4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -4*r + 6, -5*r = 5*k - 30 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 5*j - 5, 11*c = 7*c + 5*j - 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5300 = -138*o - 2193 + 3379 for o.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*i + 4*g, 3*g - 5 - 2 = -2*i. What is the second derivative of -17*o + 0*o**i + 3*o + 2*o**2 + 2*o**2 wrt o?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 256641 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 3*t**2 - t**2)*(-5*t - 3*t + 4*t)*(-3 - t + 3).\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a - 12. Let s(l) = 379*l - 1. Calculate s(g(c)).\nAnswer: 1137*c - 4549","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 1\/3, 1\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5321716305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, i: 3, b: 1, d: 6}. Give prob of sequence ddb.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -698, -1539, -2384, -3233, -4086, -4943, -5804?\n\"Answer: -2*o**2 - 835*o + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 277 and 27257908?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 220680947*c**3*u + 339622*c**3 - 5*c**2 + c wrt u?\nAnswer: 220680947*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-140)*((-21)\/(-9))\/((-10)\/(-9)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192094 (base 15) in base 11?\nAnswer: 765029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 351*y - 215*y + 136 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.4 (b) -1\/4 (c) 1.297 (d) 1\/4 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 180474647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -40. Suppose -4*j - 3*s = -s - d, -j - 4*s = -23. Solve 2*a = -1 - j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * -12.11429\nAnswer: 10.902861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 10:01 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = j - 4*n, 2*j + 24 = -n + 26 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**7\/14 + 11*k**3\/6 - 24*k**2. What is the derivative of o(p) wrt p?\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 15*k + 59*k - 18*k)*(-k + 0*k + 0*k + 11).\nAnswer: -26*k**2 + 284*k + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6524, 6505, 6484, 6461, 6436, 6409, 6380?\n\"Answer: -r**2 - 16*r + 6541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 33 = -135. Suppose -3*h = -5*t + 5, 2*t = -3*h + 8*h - j. Suppose -t*z + 107 = -153. Does 21 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 199210 + 50965 = 0. Let v = b - 46649. Round v to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, -40, -119, -260, -481, -800, -1235?\n\"Answer: -3*w**3 - 4*w**2 - 2*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r*r**12)\/r*r)\/((r\/(r\/(r*r**(-10)*r)*r*r))\/r) assuming r is positive.\nAnswer: r**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128314, -256593, -384872, -513151, -641430?\nAnswer: -769709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -17*j**3 + 19*j**2 - 20*j + 181. Let t(c) = -12*c**3 + 14*c**2 - 14*c + 121. Give -5*s(d) + 7*t(d).\nAnswer: d**3 + 3*d**2 + 2*d - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29673496?\nAnswer: 2, 23, 29, 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 151*n**2 + 92696*n + 132217179 wrt n.\nAnswer: 302*n + 92696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2\/2 + 53261067*r + 2836741257978489\/2 = 0 for r.\nAnswer: -53261067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2267346 is divided by 331?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/6)\/z**(3\/7))**1*(z**(-8)*z)\/z**(-2)*((z\/(z**(-2\/3)*z))\/z)**(-33) assuming z is positive.\nAnswer: z**(241\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 3\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and -0.0017901.\nAnswer: -0.000035802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 35 + (2 - (-1 - -3 - 5)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 37*m - 10. Does 16 divide v(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + ((7 - 2) + -10 + 14 - 4). Solve 28*o + a*o + 259 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 103.436343360801 and 0.5.\nAnswer: 103.936343360801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -32 (b) 5 (c) -5\/6 (d) 1.29 (e) 2 (f) 305 (g) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 1) + 10 - (1 + -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16.33319 and 0.3?\nAnswer: 4.899957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - x - 11. What is the units digit of z(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -24*z**2 + 7*z - 45. Let v(y) = -26*y**2 + 6*y - 56. What is -6*m(d) + 5*v(d)?\nAnswer: 14*d**2 - 12*d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2227, 2513, 3277, 4753, 7175, 10777, 15793, 22457?\n\"Answer: 39*n**3 + 5*n**2 - 2*n + 2185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 66822 and 0.07.\nAnswer: 4677.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((17 - 2)*(-20)\/30)\/((-58)\/(-203))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 20*x**2 + 8*x - 11. Let w(j) = 11*j**2 + 4*j - 6. Let d(a) = -6*n(a) + 11*w(a). Calculate d(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*-5*(-12)\/(-30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -17 - -14 - -4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3718637837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 21 - 14. Let z = m + 17. Suppose 0 = 4*t - 4*n - z - 74, -4*n = -12. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17350102 to the power of 1\/2, to the nearest integer?\nAnswer: 4165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -29. Let c be (-6)\/w - (0 - -1). Suppose 2*o = 4*f + 6 + 2, -3*f + 2*o - 8 = 0. Which is greater: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(11\/4)\/s)*s*s*(s*s*s**20)\/s assuming s is positive.\nAnswer: s**(89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 733 - 595. Let i = t - 134. Solve f - 3*w + 11 = -0*w, 5*f - i*w = -33 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**3\/2 + 5587425*v**2\/2 + 78224391*v\/2 + 273785883\/2 = 0.\nAnswer: -7, 1862489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 2*n**2 + 3*n - 3. Let b be m(2). Suppose -b*w = -53 - 37. Suppose -6*l = -l - w. Calculate the greatest common factor of 54 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4188479.1 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-1 + 17\/(-3)). Let q = b + -20. Suppose p - 5*p - 3*c = q, 3*p = c. Solve 0 = 4*j - p*j - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34788895*g**2 - 25207791?\nAnswer: -69577790*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7045 - 7045.00013368. What is i rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19714 is divided by 278?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 29. Let g be d(4). Let f be -1 + (-5)\/(-1) + 1. What is the greatest common factor of g and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + -7)*12\/(-10). Calculate the common denominator of 17\/41 and (-510)\/18*q\/(-8).\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 17*g - 1. Let j(r) = r. Let v = 4168 - 4167. Calculate v*b(l) - 6*j(l).\nAnswer: 11*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 3*w + 17, -3*s + 4 = 224*w - 228*w for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -134 + 129. What is the third biggest value in -0.4, -1.27, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/4*(1 - 0). Suppose x = -4*j - 102, 25 = -x + 4*j - 109. Let l be (-2)\/(-11) + x\/44. Which is smaller: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**3 - 51*k**2 - 9*k. Let f(w) = -3*w**3 - 51*w**2 - 8*w. Let i(d) = 9*f(d) - 8*x(d). Factor i(m).\nAnswer: -3*m**2*(m + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*((-2)\/5)\/1. Let q be 3498\/(-48) + i + 5. Let h = q - -385\/8. Calculate the common denominator of h and 17\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**5 + 3*j**5 - 5*j**5 + (-3 - 1 + 2)*(2*j**5 - 28*j**2 + 28*j**2) + 2*j**5 + j**5 + 0*j**5.\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2. Let c(d) = d**2 - 3*d + 2. Let v be c(3). Suppose a + 5 = v*a. Let k be 1*a\/(-3)*-3. Let u(l) = 2*l**2 - l + 1. Calculate k*w(o) + 2*u(o).\nAnswer: -o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**2 + 9*q - 41. Let k(u) = u**2 - 2*u - 1. Let v(y) = -d(y) + 6*k(y). Let l be v(9). Let m = 254\/39 + 2\/13. Which is greater: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161182 (base 15) to base 10.\nAnswer: 1066847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 - 5*w + 5. Let o(l) = 3*l**2 - 4*l + 4. Let f be 5\/((2 + -1)\/1). Let q(m) = -m - 7. Let n be q(-3). What is f*o(v) + n*i(v)?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 20*y - 36*y. Is -37\/11 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (124 - 45 - 62) + 12.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12123 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 12*z - 296. Let r be i(25). Solve 2*g - g = -r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - 0) + -12*(-1330)\/1428?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 510315 (base 6) to base 12\nAnswer: 1b39b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 5*h**2 - 6*h - 3. Let q be f(-2). Let r be 25\/15*q\/4. Put r, -4, 3\/5 in descending order.\nAnswer: 3\/5, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001238666 to 7 dps.\nAnswer: 0.0000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 43 - 53 = 0, 4*j = 5*v + 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(-35) + (-1766)\/(-5). Let b = 204 - y. Let w = b + 229. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 - 3*h + 2. Let i be q(-3). Suppose -2*g + 3*u - 8*u = -33, -g - 5*u = -i. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*c - 4, -1 - 1 = 2*c + 3*u. Suppose c*l - l = 21. Suppose 1 = 2*t - l. What is the highest common divisor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -7. Suppose 4*w = -2*h - 26, -5*h - 8 + 3 = -5*w. Let f = m + w. Solve 3*c = -f*c - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12094497 by 1731.\nAnswer: -6987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/22 - (-2 - -2). Suppose -4*l + 4*h + 494 = -9*l, -2*h = 2. Let i = 387\/4 + l. What is the second smallest value in i, 1\/3, r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(637) + -1 + 2)*1 - ((sqrt(468) - (0 + (sqrt(468) + 3 - sqrt(468)))) + 4 + 3*sqrt(468) + sqrt(468)))**2.\nAnswer: 264*sqrt(13) + 25177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74443 is divided by 122?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j. Let l(s) = 73*s**2 - s. Calculate l(p(q)).\nAnswer: 1168*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -421125 - 2333?\nAnswer: -423502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 44*m**2 + m - 2. What is the remainder when f(1) is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-533)\/312 - ((-20)\/(-12) - (3 + -2)). Suppose -5*t = -7*t - 4. Is t < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630a86 (base 11) in base 6?\nAnswer: 33403005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*s**2 + 4*s**3 - 59*s**2 + 236*s**2 - 9*s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55 + (-12672)\/231 + (-173)\/1260)*(-20)\/(-8)?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s - 1 - s**2 - 4 + 7 + 4 to i*s**2 + w*s + m and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 11 + (-29 - -4 - -18) + -27 + -15?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 0.45 (c) -1\/103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 + 1. Let f(w) = -8*w**2 + 3*w - 3. Let d(a) = 65*a**2 - 25*a + 25. Let p(o) = -3*d(o) - 25*f(o). What is s(p(b))?\nAnswer: -75*b**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1746 and 624292?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -49345799 to the nearest 1000000.\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - (-4333)\/(-1302) - (0 + 3). Let h = 5\/31 + d. What is the nearest to 1 in h, 2\/7, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 116*w + 1644. Give i(-15).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 862224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 9 = 11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-13)\/(v**(10\/3)\/v)*v**19*v**(-11)\/v assuming v is positive.\nAnswer: v**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(-12\/13)\/(r**5)**4 assuming r is positive.\nAnswer: r**(-272\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**4\/3 + 5*h**3\/6 - 2*h**2. Is q(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1381 - 1361) + (-61 - 2)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 68 = -16. Let w = -5 - -7. Let j(x) = 5*x**2 + 4*x - 3. What is the remainder when j(w) is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 27334*j - 54681. What is p(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28000 + -28000.000023386. Round f to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 49 - 47\/10*a**5 + 0*a**4 + 0*a**3 + 85\/2*a**2 - a. Differentiate i(h) wrt h.\nAnswer: -282*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + -5 + -13 + (46 - 41)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 1)\/(3\/51). Let h(z) = -8*z**2 - 6*z + 2. Let y(n) = -23*n**2 - 17*n + 6. Give f*h(x) - 6*y(x).\nAnswer: 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 75b (base 16) in base 5?\nAnswer: 30013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 424835?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-18.25836.\nAnswer: -1.825836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - m**2 - m - 1. Let b(r) = r**2 + 2*r + 1. Suppose d = -3*t - 16, -2*t = -4*d - 5*t - 19. What is d*g(l) - b(l)?\nAnswer: -l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.52 - -1.48. Which is the second smallest value? (a) x (b) 6\/7 (c) -2 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-10) - (-1 - (-2)\/2). Which is the nearest to 3\/4? (a) -5 (b) j (c) 0.5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**3 - 10*w**2 - 4*w + 6. Let t(i) = 3*i**3 + 9*i**2 + 3*i - 5. Let m(a) = -6*t(a) - 5*x(a). Let o be (-22)\/(-8) - 7\/(-28). Calculate m(o).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -47*s**3\/6 - 45*s. Let c(w) = 19*w**2. Calculate h(c(j)).\nAnswer: -893*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 3 + (-10 + -3 - -8) - 149 - -9?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + -1 - sqrt(448))**2 + -5 + sqrt(7) + sqrt(252) + (sqrt(252)*-2)**2 + sqrt(252) + 1.\nAnswer: 13*sqrt(7) + 1005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**4\/8 - 10*k**3\/3 - 8*k**2. Let j be p(8). Solve -4*u + 3*l + 23 = 0, j*u + 3*l + 2 + 5 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 5*s + 3. Let u(x) = -7*x**3 + x**2 - 3*x + 3. Let a be u(1). Let d = a + 2. Determine t(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2)\/((i*i**(1\/37)*i)\/i)*i**(-4\/3)*i\/(i**19\/i*i) assuming i is positive.\nAnswer: i**(-2482\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 3*a + 12. Let x be m(5). Suppose -x*w = -54 - 110. Factor -3*q - 36 - 40 + w - 3*q**2.\nAnswer: -3*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i + 10*i + 13*i**2 + 40 - 81*i - 4*i**3 + 19*i**2.\nAnswer: -4*(i - 5)*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 219, 824, 1839, 3270, 5123, 7404?\n\"Answer: p**3 + 199*p**2 + p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 638333 is divided by 319161.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 20044 (base 5) to base 8\nAnswer: 2372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 c, and 1 h when three letters picked without replacement from {c: 2, n: 1, i: 1, h: 2, f: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ee + 75?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**4\/4 - 11*u**3\/3 + 16*u**2 - 28*u - 7. Factor m(o).\nAnswer: (o - 7)*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4637 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 79865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*f, 0 = -q - 3*f + 3 + 58. Is 27 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 12 - 2)*(-x - 4 + 3 - 2*x).\nAnswer: -15*x - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 3\/1375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 - 0.53. Let r = 4.4745 + -5.01509. Let i = r - p. What is i rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26709635?\nAnswer: 5, 17, 151, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (3 - 7) - 1. What is the third biggest value in 4, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 6*n + 3*n = -12, 4*q + 2*n = 40. Solve -f - 2*f - q = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50283 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 578 + -2899\/5. Let j = -40076491\/10 + 3999369. Let r = 8272 + j. Calculate the common denominator of r and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6497 - -7053.9. Let s = -557 + t. Which is the third biggest value? (a) 5 (b) -2 (c) -1 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**3 - 291*q + 293*q - 6*q**2 + 2*q**3 as l*q**2 + w*q + m + o*q**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -19. Let o = s + 1\/2. What is the third smallest value in -4\/9, o, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131899928 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44\/3 + 15. Let p = -18.35 + 18. Let a = 0.05 - p. What is the biggest value in a, -5\/3, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 5*q**5 + (q - q + q**2)*(2*q**3 - 5*q**3 + 0*q**3).\nAnswer: 2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**22)\/y)\/y**(1\/35) assuming y is positive.\nAnswer: y**(769\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40414, 41351, 42290, 43231, 44174, 45119, 46066?\nAnswer: 47015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 36. Let j = -6 + 9. Factor 3*t**d - 5*t**j + 2 + 0*t**3 - 6*t + 6*t**2.\nAnswer: -2*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5\/3 (b) 4074 (c) -0.008 (d) -5 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -29. What is the remainder when 21 is divided by ((-1176)\/(-30))\/7 + c\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 + 46.1. Let l be (4\/21)\/(2\/(-3)). Let g be 2*(-10)\/15*3. Which is the smallest value? (a) q (b) g (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 4.6. Suppose 43*t - 19*t - 24 = 0. Which is the smallest value? (a) -2 (b) t (c) 4 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 635950\/(-59731) - (-1036)\/98?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 2013500?\nAnswer: 604050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17 - 1971\/117 - (-302)\/(-2301). Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88075571 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4 = 6*n. Let f = -65.2 + 65. Put n, f, 0.3 in increasing order.\nAnswer: f, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.83 - 0.53. What is the third smallest value in -5, -2\/3, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(2\/15))\/((p**(1\/10)*p*p)\/p))\/(p**(2\/3))**(-1\/26))\/(p**4*p*p**(-4))**(-3\/2) assuming p is positive.\nAnswer: p**(304\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwdwadaaawadaw. What is prob of sequence www?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*c + 463*c - 82*c - 90*c - 91*c - 89*c - 8.\nAnswer: 8*c - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4090, -4\/9, 0.1, -35 in ascending order.\nAnswer: -35, -4\/9, 0.1, 3, 4090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12366 + 24578. What is the ten thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6049 + 236 = 263*s + 499 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -5, 5, 1\/2, -1, -1735899\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 6*u + 3*u + 261 = 0, -2*u + 8 = 0. Let s = -2014 + 2014. Suppose 979 = p + f - h, s = -4*p + 2*f + 4918. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, b: 1, c: 6, q: 2, x: 1, i: 2}. Give prob of sequence ci.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -35023734 divided by 3\nAnswer: -11674578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -g - 4. Let s be ((-5)\/(-3))\/((-5)\/40 - (-33)\/72). Sort 0.02, g, s, 16.\nAnswer: g, 0.02, s, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -509020 or -509021?\nAnswer: -509021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*c + 44, 4*w - 2*c + 50 = -7*c. Let x = -7 - -12. What is the common denominator of (-4)\/x + (-69)\/w and -45\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54*d**4 - 20*d**4 - 26*d**4 + (d - d + d**3)*(5*d - 3*d + 0*d).\nAnswer: -98*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 10:41 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000097971703 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-3)*1*(-14)\/(2688\/14016)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.17, -39, 46, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18354203 to the power of 1\/3, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 6*z + 11. Let c be l(8). Let m be (-111)\/(-12) + c\/(-20). Let y = m - 49\/6. Is 0 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**6\/165 - 6*w**5\/55 - 2*w**4\/3 - 16*w**3\/11 - 4*w - 91. Solve d(t) = 0.\nAnswer: -6, -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -32. Let x be g\/20*1\/(-2). Let o = -201 - -214. Which is the third biggest value? (a) -0.3 (b) o (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38426594*s**4 - 16542625*s**2 wrt s.\nAnswer: -922238256*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 52*s**2 + 5*s - 264. Give k(52).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-288)\/(-456)*(-5 - (-217)\/42).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = 12*t - 12. Let k be (0 - -2)\/(-2) + -13. Let d = k - t. Solve 0 = -d*b + 5*a + 20, -5*a + 11 = 3*b - 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by 13.\nAnswer: -25\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 29*c**2 + 28*c + 9. Calculate i(28).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-12))\/(2\/(-78)). Let m = b + -3. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 84 = 88. Suppose -16*p + 11*p + i*u = -4932, 4*p - 5*u - 3942 = 0. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 6. Let q be -3 - (1 - (1 + g)). Solve 5*d = -4*o, -4*d - o - 2 + 13 = q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -356117250 and -0.3.\nAnswer: -356117250.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngugvfuz. Give prob of sequence gg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57407 is divided by 598?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101210220 (base 3) to base 6.\nAnswer: -100253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -404907, -1619617, -3644135, -6478461?\n\"Answer: -404904*n**2 + 2*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 582239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6230 + -1.\nAnswer: -6231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1105945 less than 0.01?\nAnswer: -0.1005945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 265 - 265. Let o(i) be the third derivative of 0*i**3 - i**2 + 0*i**4 - 7\/60*i**5 + y + 1\/30*i**6 + 0*i. What is the third derivative of o(c) wrt c?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-54)*9\/(-15)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 5*r + 6859, -18*v + 13*v + 4889 = -r. Calculate the remainder when v is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 511*w - 1815. Give n(4).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-4))\/(-2 + (-44)\/(-24)). Suppose l*h - 19 = -4. Determine z, given that 4*z**3 + 8*z**4 - 5*z**3 + h*z**3 - 4*z**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112236032 divided by 56118016?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/5*10\/(-24). Let f(h) be the first derivative of -m*h**4 + 4\/9*h**3 + 9 - 5\/6*h**2 + 2\/3*h. Factor f(c).\nAnswer: -(c - 2)*(c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1157535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from xxxeeueexeeee?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 1:42 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1106 + -12208\/11. Are -3 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/12 - 91\/(-4). Suppose -2*a = -4*p + a, 5*a - j = -p. Solve p*r - 4 = -16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 17*u**2 + 12*u - 46. Is v(-7) a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 7 + 6 = 0. Let x = -11\/72 - 1\/72. Which is the biggest value? (a) v (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2333.163 millennia?\nAnswer: 2333163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/7)*z*z**(-3\/5))\/(z**8)**(-11) assuming z is positive.\nAnswer: z**(3114\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*z**4 - 2247*z**3 - 3527 wrt z.\nAnswer: 12*z**3 - 6741*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -9797*s + 7294. Is x(-57) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1692724 and 23188?\nAnswer: 1692724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 16) in base 11?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -17. Solve -20 = -g + w*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 655 divide 16045675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 1\/21*p**4 + 0*p - 6*p**2 + 1\/245*p**7 + 0*p**3 + 1\/420*p**6 + 0 - 4\/105*p**5. Determine b, given that a(b) = 0.\nAnswer: -2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3)*a\/(a*a**(2\/7)*a)*(a\/a**(2\/3))**(-9\/2)*(a**(-2))**(-1\/12)\/(a*(a**(2\/5)*a*a)\/a)**21 assuming a is positive.\nAnswer: a**(-5882\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11197, -22400, -33603, -44806, -56009, -67212?\nAnswer: -78415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -89 (base 10) to base 9.\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 1 = 13*h. Suppose h*z = 2*z - 5. Calculate the remainder when 25 is divided by 0 + -3 - (-12 + z).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*x + 20 = -0*c, -4*c + 16 = 3*x. Let q = -22.3 - -23. Sort c, -1\/3, q, 0.5 in ascending order.\nAnswer: -1\/3, 0.5, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 3 = 5*p. Suppose 5*x = p*c + 35, 0 = -3*x - 0*x + 5*c + 21. Suppose -3*y = -x*y + 104. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 341 and 3080?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(s**(5\/3)\/s))\/s)*s\/s**(1\/6))**(-1\/6) assuming s is positive.\nAnswer: s**(-5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037717669 to the power of 1\/2, to the nearest integer?\nAnswer: 32214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111 + 6. Let x = -50 - u. What are the prime factors of x?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77928895 divided by -7084445?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4173 and 108739713.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -84*k + 845. Let r be c(10). Solve t - 23 = 38*z - 34*z, 3*z + r*t = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 7*((-114)\/21 + 2). What is the common denominator of (j\/(-60))\/(0 - 8\/(-485)) and -91\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 831 and 2693548.\nAnswer: 8080644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10370 is divided by 218?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 10*u**2. Let w(j) = -14575*j. Calculate w(a(p)).\nAnswer: -145750*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/2 of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45310278?\nAnswer: 2, 3, 13, 580901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + p + 12 = 0, 72527*b = 72528*b + 7*p - 28 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3 - -1.6. Let r = -2 + 2. Which is the nearest to r? (a) o (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 378270722*g**6 + 414281858*g**2 wrt g.\nAnswer: 45392486640*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2253010*h**5\/3 - 2628525*h**4 + 6758890*h**3\/3 + 7885655*h**2\/3 - 1501960*h - 80\/3 = 0. Calculate h.\nAnswer: -4, -1, -4\/225301, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oppopp. What is prob of sequence ppop?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12628753 or 9?\nAnswer: -12628753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + k**2 + 2*k + 5. Let s be g(0). Solve 0*l - l + 11 = -3*v, 10 = s*v + 4*l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 6*y + 9 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 35*d**3 + 3*d**2 - 27*d - 60. What is j(-2)?\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 6 = j. Let d = j - -6. Solve -2*b + 4*b = d for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 117 and 45?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98316 and 15.\nAnswer: 491580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -9 + 1 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65280856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(19) + 0 - sqrt(19))*3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (5 + 0 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 - 16) + 52 + -5.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 1, -8, -1 in increasing order.\nAnswer: -8, -1, 1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1321019 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 25 - -15) + (2 - (-2 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-35)\/351120*33?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p + 5*p - 26*p + 41 + 13*p.\nAnswer: p + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 1\/3, -6, 0.0383, -399, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2 - -1)\/(2\/148). Suppose -8*n + i = -11. Let p be (-36)\/(-16) - 2\/8. Is n > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 435109464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/653, 17, 0.5, 825?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 5*n + 11 = 0, -93*h + 98*h = 2*n - 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + -1*(sqrt(136) - (sqrt(136)*2 + sqrt(136) + sqrt(136))) + (sqrt(136) + (2*sqrt(136) - sqrt(136)))*-1)\/(-4*sqrt(32)\/(sqrt(4) - sqrt(64))).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*b - 1004 - 804 = -165*b. Solve -12*m + b = -28*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.173981 to two decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001674 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000030498 to seven dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (1*8)\/(-9 + (-28)\/(-3)) and 75?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s - 3. Let o be ((-2)\/6)\/((-2)\/(-6)). Let j(l) = -l**2 + 1. Let g be j(o). Suppose -2*x + 9 - 1 = g. Calculate d(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175688738?\nAnswer: 2, 389, 225821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.286174358 to 4 dps.\nAnswer: -0.2862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.667 + -0.6670538. Round i to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -2213?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281 = -7*n + 1737. What is the highest common divisor of 52 and n?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**2*x**5 - 4*t**2 - 92*t*x**5 - 24*x wrt x?\nAnswer: -40*t**2*x**3 - 1840*t*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1) + (3 - (0 + 6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - d**2 + 1. Suppose 3*i - 5*t = 5, 4*t = 3 - 7. Let g be x(i). Let y = 12 - 16. What is the second smallest value in y, -0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lglglllg. Give prob of sequence llll.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -3*h. Let r(b) be the third derivative of 0*b + 0*b**4 + b**h + 0*b**3 - 1\/300*b**6 + 0 + 1\/300*b**5 - 1\/350*b**7. What is k in r(k) = 0?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 56696800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -34*m**3 + 4. Let z(y) = 305*y**3 - 35. What is -35*s(j) - 4*z(j)?\nAnswer: -30*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odojuuooddjdoduuujjf. What is prob of picking 2 u?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**6\/30 - d**5\/20 + d**4\/12 - d**3\/3 + d**2. Does 12 divide f(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i = 14*i. Suppose 3*y = i, 0*n - 5*y + 565 = 5*n. What are the prime factors of n?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**2 - 2. Let j be u(1). Suppose -5 = 2*s + r, -2*s - 7 = j*s - r. What is the second biggest value in -1, s, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -239.47492622+734\nAnswer: 494.52507378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9390 + -3.1141.\nAnswer: 9386.8859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8650, 22492, 36334, 50176, 64018, 77860?\n\"Answer: 13842*c - 5192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -12*z**2 + 0 + 116*z - 34*z + 5*z**3 - 45*z + 2 - 42*z. Let i(m) = -12*m**3 + 25*m**2 + 10*m - 6. Let x(r) = -7*g(r) - 3*i(r). Determine x(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**3 + 22*w**2 + 236*w - 544 = 0.\nAnswer: -8, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23679574?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 7*o = 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -745, -235, 639, 1883, 3503, 5505, 7895, 10679?\n\"Answer: n**3 + 176*n**2 - 25*n - 897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132\/99*(4\/1)\/(-24).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 28*y + 212. Suppose f = 21*k - 26*k + 130, 0 = -3*k + 2*f + 91. What are the prime factors of s(k)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 8, f: 5, b: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -528*l + 424 + 1538*l - 505*l - 508*l.\nAnswer: -3*l + 424","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1605 divide 21399280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23.9 + -28.4. Which is the second smallest value? (a) t (b) 5 (c) 0.1 (d) -0.5 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(256)\/sqrt(4))\/((sqrt(2) - (sqrt(2) + sqrt(6)\/sqrt(3)))*-3) + (((-1*sqrt(28) + sqrt(28))\/sqrt(7))\/(2*sqrt(98)))**2).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*l = 14, -t - 5*l = -6 + 25. Suppose -20 = -4*m, 0*z + z + 18 = 4*m. What is the least common multiple of t and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 126047 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8870\/3 or 2956?\nAnswer: 8870\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 19 = 2*c, 0*d + 3 = d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4923649921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 54, 105, 190, 309, 462, 649, 870?\n\"Answer: 17*u**2 + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4\/597 + 35263\/5970. Find the common denominator of ((-5)\/4)\/(27\/810) and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 114120115015 - -5?\nAnswer: 114120115024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 - 25*f + 7)*(-f**3 + 0*f**3 + 0*f**3) - 2*f**4 + 7*f**4 - f**4 to the form q + a*f + p*f**4 + i*f**2 + g*f**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 19 = -4*n, -4*u - u = -n - 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(102) + sqrt(102) + -1*sqrt(102)))\/(sqrt(54)*6) - (sqrt(833)*5 + sqrt(272)*-4)) + 0.\nAnswer: -343*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -22\/183533 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 314.7243t?\nAnswer: 314724300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 5*g**3 - 8700*g**2 + 5046000*g - 975560000 = 0.\nAnswer: 580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-1735 - -4)\/(-3). Suppose -6*z = -941 - a. List the prime factors of z.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33880.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, c: 1, d: 1, f: 2, n: 1}. What is prob of sequence hffn?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*l + 90435 + 719527, -t - 5*l = -269994. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -l + 2336, 419 = 11*l - 4*b - 25382. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/15 + 52\/(-78). Let d = 4 + -2. Suppose d - 4 = -z. Sort -0.2, z, u.\nAnswer: -0.2, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97\/2 of a millimeter in micrometers?\nAnswer: 48500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 9) in base 4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*106\/24 + 20\/(-16). Which is greater: 14 or x?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1502 + -564. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*p - 997384 - 227741 = 0. Calculate the greatest common factor of 15 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at most -1\/86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.59 - 4.590000697. Round h to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -11*k**3 + 14*k**2 + 8*k + 8. Let f(h) = -4*h**3 + 5*h**2 + 3*h + 3. Suppose -4*v - 24 - 8 = 0. Let s(u) = v*f(u) + 3*a(u). Factor s(y).\nAnswer: -y**2*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -5*a**3\/6 - 2*a**2 - 3*a. Let m = -4442 - -4437. Let k(v) = 4*v + 4. Calculate m*f(z) - 6*k(z).\nAnswer: z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 86\/142709 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 d, and 1 z when three letters picked without replacement from diddddvzd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**5 - 2*f**2 + 2*f**2)*(83 - 27 + 78) + 5*f**4 + 3*f**5 - 4*f**5 - 3*f**4.\nAnswer: 401*f**5 + 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 102*i - 748. What is the remainder when 202 is divided by w(8)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**4\/3 - 1184*y**3 = 0 for y.\nAnswer: 0, 888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14 and 2072456?\nAnswer: 2072470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.116 - -53.884. Let z = w - 37. Let a = z - 16.99999961. Round a to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -12 + 14 + (-24 - -18)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.14673 (b) -4 (c) 0.4 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -8*r + 12. Let a(y) = 16*y - 26. Let o(c) = -6*a(c) - 13*k(c). Give o(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 270 + -277. Put 4\/3, 0.2, i, -0.4 in increasing order.\nAnswer: i, -0.4, 0.2, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 + 0 - 2*2. Let d(b) = b**2 - 6*b - 5. Let s be d(7). Put 1, s, v in ascending order.\nAnswer: 1, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 2.96\nAnswer: 23.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3133310403.\nAnswer: 3, 79, 109, 121291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 575 and 345.\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65893 (base 11) to base 10.\nAnswer: -95571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011798388 to 5 decimal places.\nAnswer: 0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is df68 (base 16) in base 2?\nAnswer: 1101111101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.277, 0.4, 4, 1, 1\/8, -10.\nAnswer: -10, 1\/8, 0.277, 0.4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -835823 + 835823 - 17087*o in the form w*o + t and give w.\nAnswer: -17087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127325 is divided by 2961?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n. Let p(l) = 2*l + 604911. Determine j(p(o)).\nAnswer: 10*o + 3024555","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -354 - -350. Let a(u) = -u - 3. Let j(p) = p + 3. Let o be 3 - 3 - 15\/3. Determine o*j(w) + z*a(w).\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 12*m**2 - 13*m + 14. Let p be w(13). Suppose -p*r = -6*r. Determine s, given that r*s + 3\/8*s**4 + 0 + 0*s**2 + 3\/8*s**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12360\/10094)\/(4\/(-14)))\/((-24)\/(-112)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 22*z**2 + 8*z + 8. Let c(w) = -24*w**2 - 9*w - 10. Calculate -5*c(g) - 6*o(g).\nAnswer: -12*g**2 - 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*g = -30, -4*i + 16*g = 18*g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/sqrt(3))\/sqrt(6) + sqrt(18) + -3)**2.\nAnswer: -24*sqrt(2) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 974977 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1090072, 2180153, 3270234?\nAnswer: 4360315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 20 = 4*p - 26, -5*p - 93 = -40*x - 88 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -61?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*j**3 - 5*j**3 - 15*j**3 + 3*j**3 + 2*j**3 - 4*j**3 + (-j**2 + 0*j**2 + 3*j**2)*(0*j + 0*j - 2*j).\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12 and 15776.\nAnswer: 15764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**2 - 8*q + 5. Let g be c(4). What is the common denominator of 73\/16 and g\/(-54) + (-1 - -3)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j - 135. Let y(d) = 5*d - 5. Suppose 0 = 2*v + 5*b + 7, 2*v - 4*b - 7 = 13. Calculate the remainder when j is divided by y(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7}. What is prob of picking 4 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*(sqrt(468)*2 - sqrt(468)).\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 81717\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/14*1*4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (753*v - 1528*v - 11 + 732*v)*(0 + 0 - 2*v**2)*(-2 + v**2 + 2).\nAnswer: 86*v**5 + 22*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 3. Let s be 3*762\/63 - p. Let o = -37 + s. What is the closest to o in -2\/9, 1, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, j: 1, z: 6, e: 1, u: 2}. Give prob of sequence zuz.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 10*d + 18. Let f be o(-8). Let y(g) be the second derivative of -1\/20*g**5 - 1\/24*g**3 + 0 + 0*g**f + 3*g - 5\/48*g**4. What is j in y(j) = 0?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -8*k**3\/3 + 39*k**2\/2 - 3*k - 7. Let b be d(2). Solve 10 = 2*v - b*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 301 + 12 + -11 + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.28 (b) 0.4 (c) 15 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 0*h**2 - 2*h**2 + 1 + 8*h - 6*h. Give v(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 245521 = 5*w, 5*w + 9*j - 245524 = 6*j. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (17 + 0)\/((-8)\/(-568)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 22 = q. Suppose -x - 3*x + 28 = 2*t, -3*x = -t - 26. What is the remainder when q is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by -5443?\nAnswer: 44\/5443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.1 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + -12 + (3 - -21) + 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65630866, 65630864, 65630862, 65630860?\nAnswer: 65630858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (36\/30)\/((-2)\/5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -120 (b) 4 (c) 1 (d) -4 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e39 - 1d2?\nAnswer: 3c57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2)*q)\/q**(-6))\/(q**(-1\/4)\/q)**(-1\/37))**41 assuming q is positive.\nAnswer: q**(30135\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e (base 15) in base 3?\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 5*i**2 + i + 7. Let z be l(-5). Let w be (3\/9)\/(z\/12). Solve -w*j = 2 - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 1:48 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5987093 divided by 4?\nAnswer: -5987093\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/1588190 and 17\/241?\nAnswer: 1588190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b + 6. Let f be q(-3). Let k = f - -3. Suppose 2*a = 7*a - i - 21, a - 2*i - 6 = 0. Put k, 5, a in increasing order.\nAnswer: k, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o**3 - 3*o**2 + 8*o - 9. Let a(c) = -8*c**2 - 5*c**2 + 1 - c + c**3 + 13*c**2. Let x(s) = 6*a(s) + u(s). Determine x(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -20 + (-6 - -27)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189084.\nAnswer: 2, 3, 7, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 38. Suppose -2*p = -10, -o*p - 8 - 6 = -4*v. Solve -5*n = -8*n + v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199839.\nAnswer: 3, 29, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 - 46. Let t be (4\/8 - b)\/(6\/48). Solve t*x - 5 = 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 0\/(-12) + (-1 - 5). Suppose 8*x + 3 = 5*x. Let k = 0.25 + -0.1. What is the closest to x in 3, k, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -4*p - 8, 16399 = 4*l + 3*p + 16398 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 1121.\nAnswer: 2\/1121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**3\/15 + 336*q**2\/5 - 1912*q\/15 - 16064\/5 = 0.\nAnswer: -6, 8, 502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*r**2\/5 - 52377*r\/5 - 9522\/5.\nAnswer: -3*(r + 1587)*(11*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1632522 and -13\/105324.\nAnswer: 3265044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 3950?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -107 at least -2688304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + sqrt(102)*-2*-5)\/sqrt(6) + -2.\nAnswer: -2 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a factor of 3987853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130.89 - 132. Let f = n + 1. Which is the second smallest value? (a) -1 (b) 2\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*v = 60, 4*g + 20 = -g + 5*v. Let p = 74 - 162. Is (g\/(-6))\/((-6)\/p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50669341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 579*i**2*n**2*r**2 - i**2*n*r**2 + i**2*n*r - 3*i**2*n - 4*i*n**2 - 86*i*r**2 wrt n?\nAnswer: 1158*i**2*r**2 - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*q - 3*w - 17, 5*q = 3*w. What is the third derivative of 3*r**2 + q*r**2 - 2*r**2 + 3*r**3 wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 662334.\nAnswer: 6623340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, c: 2, x: 15}. What is prob of sequence xxll?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 30 = s, 18 = 2*x + 2*s + 6. Suppose -p - 3*k + x = -4, p = k + 6. Let q(b) = -b + 92. List the prime factors of q(p).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4262859?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*o - 3*b = -157, 2*o + 4*b - 76 = 0. Suppose o = 5*q - 0*q. Let t = 540157 - 540149. Calculate the lowest common multiple of q and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, h: 11}. What is prob of picking 1 b and 3 h?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*w + 4*h, -3*w - 2*h - 8 = -2*w. Let g = 0 - w. What is the remainder when 10 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 38 = 5*h, p + h - 36 = 5*h. Let v be (p\/6)\/((-14)\/63). Is 6\/v - (-100)\/7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*q + 55*q = 608 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**3 - 5*y**2 + 6*y + 4. Let n(i) = -14*i**3 + 14*i**2 - 17*i - 12. Determine 6*n(u) + 17*q(u).\nAnswer: u**3 - u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-400)*12)\/((-209)\/(45980\/(-24))).\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 h when four letters picked without replacement from mqhmmhqqmmfqmfmfm.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + 4*1*sqrt(63))*-1.\nAnswer: -12*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(200\/(-145)) + 10\/4\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/37026544 and 23\/7236152.\nAnswer: 2851043888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-2)\/(-8)) + -2. Suppose 4*k + 6*b - 4*b = 26, j*b + 14 = 4*k. Solve -t + 0*t = -k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-18)\/8) - (-2248136)\/2124. What is the greatest common divisor of w and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-8))\/(1 - (-351)\/2). Let z = g - -282\/25063. Let q = z + -75\/284. What is the second smallest value in 3, -2, q, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2794258?\nAnswer: 2, 229, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 70, 123, 180, 235, 282, 315?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2. Suppose -5*z + 3 = -2*b, -3*z - 5 = -3*b - 5*z. Let o(d) = 1 + d - b + 2*d. What is o(f(a))?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -976836 (base 10) to base 11\nAnswer: -607a03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + i = -21*m + 10, 0 = -5*m - 2*i + 10. Let l(k) = -2716*k**m + 1364*k**2 + 1369*k**2. Let b(r) = 7*r**2. What is b(l(a))?\nAnswer: 2023*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32411778 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 8*y - 4. Let v be t(8). Suppose -32 = -4*z + 4*b, -5*z + 0*b + 50 = 5*b. Suppose 4*s - 25 = -z. Sort s, -2, v in descending order.\nAnswer: s, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -19*a**3 - 260*a**2 - 491*a + 51. Give f(-2).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = -3*s + 6, s = 5*g + 7. Let n(t) = -t**2 + 2*t - 1. Let y be n(1). Let l be (g - y)*(-11 + 12). Put 2, l, 1 in decreasing order.\nAnswer: 2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-3) - 25)\/((-16 - -27)\/11).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3478 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -0*d + 13434. Let h = 2047 - d. Let u = h - 3769. What is u rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59838.6 smaller than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5973 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (103 - 171 + 101)*(-2*s + 2*s + s**3) as x*s**2 + c + a*s + i*s**3 and give i.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**3 + 1515*h**2 - 574563*h + 573049 = 0.\nAnswer: 1, 757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*k**4 + 1570*k**3 + 14202*k**2 + 43254*k + 2916 = 0. What is k?\nAnswer: -9, -2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 11:32 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -173 in 2, 0.4, 828?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 7:07 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 + 59*t - 817 - 57*t + 7.\nAnswer: 2*t - 686","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -47*o - 10. Let b be v(4). Let u = -482 - b. What is the hundreds digit of (-2*u\/6)\/((-50)\/(-75))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 divided by -4?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5645615 is divided by 780?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -111313213?\nAnswer: 111313204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/161 and 10\/253?\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-16716)\/(-168))\/((-2)\/(-12)).\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6890442 and 48233089\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 87821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92 - -76. Let d(n) = n**2 + 16*n + 10. Let h be d(w). Solve h = p + p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 88 = 17*m - 15*m, 24 = k + m. Calculate the lowest common multiple of 100 and k.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -60*f + 14*f + f + 5*f + 34*f. Let z(x) = 3500*x**2. What is i(z(k))?\nAnswer: -21000*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*m - 4*m + 36. Sort 0, 3, m, -4 in ascending order.\nAnswer: -4, m, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*w + 1145*w**2 - 8*w**3 + w**4 - 1218*w**2 - 3*w**3 - 48 = 0. What is w?\nAnswer: -3, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -3.529242 rounded to three decimal places?\nAnswer: -3.529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 54 - (4 - 56)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + ((sqrt(180)\/sqrt(5) - sqrt(36))*-6)\/sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -186.224146 rounded to 1 dp?\nAnswer: -186.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -155*g. Let h(y) = -5*y**2 + 12*y - 6. Let u(d) = -4*d**2 + 10*d - 5. Let t(x) = -5*h(x) + 6*u(x). What is q(t(z))?\nAnswer: -155*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 455397 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(2\/9)*x*x)**(1\/21)*x\/(x*(x*x**(1\/2))\/x*x)*x**(1\/2)\/x*x)**(-34))**(-50) assuming x is positive.\nAnswer: x**(-287300\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 28 + (-73 - (-8 + -14))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y**4*y)\/y))\/y**(-1\/4))\/((y\/y**(-2))\/((y\/(y*y*y\/(y*y*y**(1\/3)*y)*y))\/y)) assuming y is positive.\nAnswer: y**(-77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**4\/12 - h**3\/3 - 9*h**2. Calculate m(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 m when two letters picked without replacement from xmdmxxtsx.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1293.29905366 + -1293.3. What is q rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 8 = -7*w. Suppose -4 = 4*v - x + 4*x, -4*x = 5*v + 6. Suppose w*p = v + 4. Solve -21 = -a - 4*s, -p*s + 18 = -3*a + 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-163 - -154) + 0 + -9\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -71259 - 181?\nAnswer: -7141a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 109416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**2\/2 + 10491*n - 5861241\/2 = 0.\nAnswer: -7263, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268197 - 2300979 = -86*n. What are the prime factors of n?\nAnswer: 3, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 a factor of 65644670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 + 0.03. Let s = -4.06 + n. Let y be (30\/(-4))\/(-3) + -1. Sort y, -2, s in descending order.\nAnswer: y, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*v**2 + 7*v**5 - 11*v**6 + 0*v**2 - 7*v**5 wrt v.\nAnswer: -1320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, h: 4, j: 2}. What is prob of picking 4 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -4*m + 31, -u = 2*u - 3. What is the greatest common factor of m and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 136*b**2 - 1621*b - 1608. What is i(-1)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*sqrt(1216) + 3.\nAnswer: -8*sqrt(19) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-8))\/((128\/4)\/384).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -192999688\/13 not equal to -14846130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2227176 is divided by 371196?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 29701910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7225357 to the power of 1\/2, to the nearest integer?\nAnswer: 2688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2748*g**2*s*t + 2046*g**2*t**2 + g*s*t + 228*s**2*t**2 - s**2 wrt t?\nAnswer: 4092*g**2 + 456*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 18*n + 1435. Let z be c(25). What is the greatest common divisor of 216 and z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**2 + 1634*v + 63196 = 0?\nAnswer: -37, 854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1668038 - -2238.\nAnswer: -1665800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1.49, 28, -0.4, -3, 3, -144?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3) - (-26)\/(-6). Let d = 7 + v. Suppose g - 2*g = d*l - 33, 0 = 5*l + 5*g - 75. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 943541087 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**8\/1176 - 19*p**7\/735 + 41*p**6\/420 - p**5\/10 - 78*p**2. Suppose s(n) = 0. What is n?\nAnswer: -21, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/50214 and 37\/1302.\nAnswer: 10896438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-9) - (-1)\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + r**2 - 2180*r + 9 + 2174*r in the form j*r + m*r**2 + u and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 23*n - 38. Solve -m + 18 = n*j, -2*j - 22 = -6*j + m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 739*f + 3. Let o be b(4). Let t = 11763\/4 - o. Find the common denominator of t and 12\/(-72)*(-342)\/(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56649 + 56649.2. Let b = -0.9 - 0.1. Put b, d, -3 in increasing order.\nAnswer: -3, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3 (b) 0 (c) -573 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -29\/528?\nAnswer: -29\/528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6766 + -6763. Let o(x) = -x**3 + x**2 + x + 6. Let q be o(0). Let k = 6 - q. Sort 17, 4, k, p in descending order.\nAnswer: 17, 4, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o - 1. Let x(y) = 381*y + 5. What is -5*v(u) - x(u)?\nAnswer: -371*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*h)*(914*h - 1162*h**2 + 901*h - 1815*h).\nAnswer: 2324*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p - 7. Let j = -314 - -320. Calculate f(j).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f + 3*m = -2*m - 13 - 10, 0*m + 2*m = -3*m + 25 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**2\/s)*(s**4*s)\/s)\/((s\/s**(-6))\/(s*s**(2\/7)\/s*s)))\/((s\/s**1)**(4\/25))**16 assuming s is positive.\nAnswer: s**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2335 is divided by 485?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**0*v)**3\/(v**0)**(-1\/32)*((((v*v*v**(-2\/13)*v)\/v)\/v)\/((v**(-1\/3)*v)\/v))\/(v**(-3)*v\/v**(-2\/17)) assuming v is positive.\nAnswer: v**(7997\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*v, 0*v + 2*v = 2*r - 4. Suppose -4*y + 4*d + 592 = 0, 3*d = -3*y - d + 430. Let j = y + -145. Sort v, j, 0.\nAnswer: 0, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(8) + (sqrt(176) + 5)**2.\nAnswer: 81*sqrt(11)\/2 + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 199 - 144. What is the remainder when h is divided by ((-224)\/(-20))\/(-4)*-5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from mloomlmjmj.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2842, -5684, -8526?\nAnswer: -11368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1162*d**3 - 4856*d**2.\nAnswer: 6972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 14 = 2*y, -124*t - 27 = -121*t + 4*y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b1b14 + -2ab?\nAnswer: b1869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2656 - 1.7344. Which is the nearest to -0.1? (a) -3 (b) r (c) 0.02 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -26. Suppose -x = 4*d, -4*d + 0*d - 23 = -i. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.8 - -1.8. Let i = 0.08 + 2.92. What is the second biggest value in -2, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 11*t**2 - 11*t + 14. Let z be c(10). Solve -28*m**z + 14*m**4 + 11*m**4 + 12*m**3 = 0 for m.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12957 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((-132)\/(-45) - 3). Calculate the remainder when 12 is divided by (w\/12)\/(2\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -87*r - 333. Let c be d(-4). What is the greatest common divisor of 4285 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1254, -5159, -11714, -20919, -32774?\nAnswer: -47279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 268871? (a) 0.2 (b) 4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 32. Let h(k) = -3*k + 3. What is the remainder when 134 is divided by h(g)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/(-8)*36\/(-21). Suppose -m - o = -4*m. Find the third derivative of -6*p**2 - 13*p**6 + 19*p**6 - m*p**2 wrt p.\nAnswer: 720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 2*c + 4. Let h be z(4). Let n = -4 - h. Suppose n*i - 3080000 = -4*i. Round i to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 6, -3, -0.2, 176, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6530)\/(-22) + 2\/11. Calculate the greatest common divisor of 33 and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55955 and 73625?\nAnswer: 1398875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 31528648.53 to the nearest one million.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 407*n**4 + 1028*n**4 - 414 + 204*n**4 wrt n?\nAnswer: 6556*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3131087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 5*f + 32, -5*f + 8 = 17*h - 19*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*k**5 + 61*k**4 - 1096*k**3 - 2761*k**2 + 375*k + 1 wrt k?\nAnswer: -1200*k**2 + 1464*k - 6576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 241 times 87\nAnswer: 20967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 6 = 0, y - 1 = 4*v + 9. Let l = 8 + v. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -870*u + 861*u = -432 for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r - 34. Let i be f(14). Suppose 4 = -t + 3*t. What is the units digit of -3 + i*(t + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 9*i - 2)*(380*i**3 + 329*i**3 - 157*i**3 - 122*i**3 + 121*i**3).\nAnswer: 4959*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -67, -5\/3, 0.08, -1.3 in descending order.\nAnswer: 3\/5, 0.08, -1.3, -5\/3, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12724 + 4?\nAnswer: 12728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26494 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r**2 + 4*r. Let s(b) = -b**2 - b. Suppose 3*w + 21 = 3*h, -2*w - 2*h - 3 + 1 = 0. Give w*s(c) - y(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2828 and 85937971.\nAnswer: 343751884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 19*t + 10 = -15*t, f - 3*t + 13 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160627524 a multiple of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 51 = 5*x, -19 = -3*s - 24*x + 29*x for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 1. Let r(d) = -2*d. Let l be (-37 - -36)*(-1 + 2). Determine l*r(b) - a(b).\nAnswer: 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r - 6*r + r**4 - 22*r + r**3 as j*r**3 + c*r + z + t*r**4 + h*r**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2390 divided by 894?\nAnswer: 1195\/447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2790\/3348)\/((-9)\/(-648)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 - 36*i**3 - 336*i**2 + 2448*i + 15120.\nAnswer: 3*(i - 14)*(i - 10)*(i + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -8, 0*w + w = -3*o - 8. Suppose -2 = -l + 2*q + 3, 2*q - 70 = -w*l. What is the greatest common divisor of 45 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -21*s + 11 + 5\/2*s**2. What is the tens digit of k(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48506 is divided by 70.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 less than -336693824?\nAnswer: -336693822.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -111111000?\nAnswer: 111110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 220692340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**3\/8 - 15*m**2\/8 + 3*m + 9\/2 = 0.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 284 - 529. Let g be (-49)\/z*20\/14. Let f be 1 - (-2)\/(16\/(-6)). Is f less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 <= 544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.8771 and -565.\nAnswer: -564.1229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*(2*((sqrt(1216) - (sqrt(1216) - (1 + sqrt(1216))))*1 - 3*(sqrt(1216) - (1 + sqrt(1216)))))**2)*-6.\nAnswer: -29562 - 1536*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 36, -1, 0, -19, -2, -15 in ascending order.\nAnswer: -19, -15, -4, -2, -1, 0, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**4\/16 + 5*x**3\/12 - x**2\/8 - 5*x\/4 + 38. Factor a(c).\nAnswer: (c - 1)*(c + 1)*(c + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 77*l - 582. What is the smallest common multiple of 154 and u(-8)?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4805 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 61*g**2 + 250*g - 252. Let y be p(1). Let z be ((-236)\/(-10))\/(2\/40). What is the greatest common divisor of z and y?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + o - 2. Suppose -z + 3*w - 13 = 0, -4*z + 3 = 4*w - 25. Let i be f(z). Solve 2 = 3*g + i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -52499293311 and -3.\nAnswer: -52499293314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (6*8\/(-8))\/(-3)*(-1)\/19\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n - 18 + 8 + 4 + 9 - 91*n**2 - 468*n**2 wrt n.\nAnswer: -1118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 3:25 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 - 49*h - 55. What is the remainder when k(27) is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -194 (base 15) to base 3.\nAnswer: -111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*g = 66*g - 20154 - 14190. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11109\/2 or 5555?\nAnswer: 5555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -2*y + l - 17, 0 = 2*l + 6. Suppose -3*w + 24 = -y*h, w + 4*h + 8 = 2*w. What is the least common multiple of w and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -29*i**2\/2 - 32*i - 1. Differentiate c(o) with respect to o.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*x + 4 - 1 = 0, 5*p + 5*x = 0. Let h be 4 + 18 + 1 + p. Suppose -2 = l - h. What is the highest common factor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -461*a**2 - 223*a + 225. Calculate p(1).\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-10)\/18*-15*3\/75).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-3)*u)\/u)\/u*u*u)**5*(u*u*u*u\/(u**(-3)\/u))\/((u\/(u*u**(-14)*u))\/u) assuming u is positive.\nAnswer: u**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 4)*(0*t + 0*t - 4*t) + t - 5*t + 3*t + (-2 + 2*t + 2)*(0 - 2 + 3) - t - 2*t + 4*t - 4*t + 4*t - 3*t.\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4)*b)\/(b\/(b*b\/((b\/b**(-3\/5))\/b))*b*b)*(b**(-2\/7))**10)\/(((b*b**(-2\/17)*b)\/(b*b**1*b))\/((b\/b**(-1))\/(b*b**(-2)*b))) assuming b is positive.\nAnswer: b**(-2582\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9103059 and 9513.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 240788.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.416 and 0.06.\nAnswer: -0.02496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n - 3*n + 3 + 11 + 4. Let k be o(15). Suppose 0*z - k*z = -7*z. Solve 2*u + 3*u - 5 = z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -8*u - 25. Let v be q(-3). Let w be (-286)\/242 + 0 + 1. What is the nearest to w in v, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 8:49 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 243056567 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3250644?\nAnswer: 2, 3, 41, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4)*h)\/h**5)**(-2\/21)\/(h*(h*h**(-3\/2))\/h*h*(h**2*h*h)\/h*(h*(h*h**0)\/h)**36) assuming h is positive.\nAnswer: h**(-1627\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52088701 is divided by 4364?\nAnswer: 4361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -5 + 5)*(-2)\/(-18)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 17\/(-5) - (-12)\/4. Which is the fourth biggest value? (a) q (b) -2\/21 (c) -4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -55 (c) -4 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11865.08mg to grams.\nAnswer: 11.86508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (13 - 18) + 2 + -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -1. Let a = -540\/7 + 2285\/21. Let l = -769\/24 + a. What is the second biggest value in m, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + 2 + (sqrt(56) + (sqrt(56) - -1*sqrt(56)*1))\/(-6*sqrt(72)) + -1).\nAnswer: -6 + sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -4) + (-3 - -1) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243, 245, 257, 285, 335, 413, 525?\nAnswer: 677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 1\/6*i**4 + 1\/9*i**3 - 24 - 2\/3*i**2 - i. Factor q(l).\nAnswer: (l + 1)**2*(2*l - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4657299 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 - 9232863792879.\nAnswer: -9232863792855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -93.6908 and -89378.\nAnswer: -89471.6908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10\/13463 - -376914\/67315. Let f = -2 + 0. Which is the second smallest value? (a) f (b) 2 (c) k (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 512, 4660, 15914, 37826, 73948, 127832, 203030?\nAnswer: 303094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-3 - (-71 - -3) - 3)) + (214 - 204)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 99\/66*58\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -12*a - 29. Calculate the remainder when 331 is divided by g(-8).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 divided by -630?\nAnswer: 47\/210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-1)\/6*-2. Put -3, r, -2 in decreasing order.\nAnswer: r, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 2*y - 2 = 0, -16011*u - 2*y - 14 = -16014*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3318, 7918, 12516, 17112, 21706, 26298, 30888?\n\"Answer: -y**2 + 4603*y - 1284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**4 + v**4 - 4 + 6 + 2*v - 4*v**2 to u + j*v + t*v**3 + p*v**4 + f*v**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*v**2 - 338435 + 169177 + 140*v**2 + 204*v**2 + 169258.\nAnswer: 487*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 2*z**2 + 2*z + (8*z**2 - 3*z**2 + 3*z**2)*(0 - 2 - 14 + (3 - 1 - 3)*(-2 + 3 + 0)) as y*z + g*z**2 + j and give g.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oils when four letters picked without replacement from luluuuuslolsisuu.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 6*t**2 + t - 5. Let h be c(6). Suppose -4*n = 3*r - 3 - 8, -3*r = -4*n + 5. Let q = h + r. Solve -3*i = -q*m - 6 - 10, -3*i = m - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/3288157 and -111\/99314?\nAnswer: 151255222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1555\/4 - -7763\/20. Which is the fourth biggest value? (a) y (b) -6\/13 (c) -0.4 (d) 103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -527*s**3 - 9*s**2\/2 + 2*s + 14. Find the second derivative of t(y) wrt y.\nAnswer: -3162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 589904 divided by 1832\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q + 1. Let u(a) = 13*a - 4. Let v(f) = -2*u(f) - 7*x(f). Give v(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3 = -p. Suppose -p*d = o - 576, -5*d + 3*o + 83 + 863 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 2*j + 3*j)*(5 + j - 5) - 4*j**2 + 5*j - 5*j - 6 + 2*j**2 - j**2 - 3*j**2.\nAnswer: -4*j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 9\/2*q**4 + 162*q**2 + 324*q + 83 + 1\/5*q**5 + 39*q**3. Find t such that m(t) = 0.\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - (-22 - -11)) + -7 + -4 + -1 + -1?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -33. Suppose -4*i + 1575 = -d*i - 3*t, 5*i - 2*t - 3943 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/3 + 2*13. Suppose 2*l - h = -l. Suppose 5*q - 113 = 7. What is the remainder when q is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, t: 1, h: 3, y: 1}. What is prob of picking 2 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142414358*o**5 - 2*o + 38460093 wrt o?\nAnswer: -2848287160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 h, and 1 u when three letters picked without replacement from joooodpuhjpp?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 509.4149cm to micrometers.\nAnswer: 5094149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r + 24. Let b(j) = -j - 6. Let a(c) = 9*b(c) + 2*d(c). Determine a(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - s**2 + 1. Let f(p) = 28 + 0*p**2 - 18*p**2 + 26 - 36 - 6*p**3 - p. Let q(w) = -28*a(w) + 4*f(w). Determine g so that q(g) = 0.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - -100000011110010111?\nAnswer: 100000011110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -20 times 23980\nAnswer: -479600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7214 - 7210. What is the smallest value in 225, 1\/2, 3\/8, z?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20351, -20352, -20353?\nAnswer: -20354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 205 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r - 2. Let w(i) = -5*i - 2. Let o(q) = -4*s(q) + 5*w(q). What is o(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 12. Suppose 5 = -3*o - 2*c - 16, o + 7 = c. What is the third biggest value in -4, k, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36086 is divided by 151?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 3127386?\nAnswer: 938215.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1746 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*k - 4*r + 22, 4*k = r + 13. Suppose -k = 4*b - 8, -2*o - 3*b = -219. Calculate the remainder when o is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2393577.991304 - 0.035\nAnswer: 2393577.956304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**5\/5 - t**3\/6 - 4*t**2. What is k(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**6\/90 + f**4\/12 + f**3\/2 - 5*f**2. Let o(t) be the first derivative of j(t). Differentiate o(v) wrt v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1378.\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/9 + 134*q**2\/9 + 770*q\/3 + 242.\nAnswer: 2*(q + 1)*(q + 33)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.27 + 4.27. Which is the biggest value? (a) m (b) 1\/7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12059, 21043, 30017, 38975, 47911, 56819, 65693?\nAnswer: 74527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**29\/k))\/(k*k**(-16)\/k))**(22\/7) assuming k is positive.\nAnswer: k**(-242\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (-8 + 31 + -3)*(-132)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39*r - 432.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11184 - -11190. Let h(b) = b**2 + 5*b + 0 + 3 - 2*b**2. What is h(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*l + 9 = 0, -3*l + 12 = 5*s - 7*l. Suppose 9*g - 4*g - 120 = s. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65849863 and 193.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j - j**3 + 374*j**2 - 702*j**2 + 4 + 326*j**2. Determine k(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/9 and -31\/78519?\nAnswer: 235557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131673, -131681, -131685, -131685, -131681?\nAnswer: -131673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19803 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-30)\/18)\/(40\/(-96)). Solve 5*p + 10 = -3*y, 992*p - 989*p - 23 = m*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0.11 (c) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17\/2 or 1\/24?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-31)\/(-124) + (4 - 15\/12 - -3). Let z(j) = 32*j - 198. Determine z(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99843 and 7521.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76 and 106?\nAnswer: 4028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -1503a319?\nAnswer: 1503a323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 20*c + 132. Let i be v(-25). Let j(r) = 4*r - 11. Suppose 0 = 10*q - 5*q + 45. Let k(x) = x - 3. Let d(b) = q*k(b) + 2*j(b). Determine d(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**4\/2 + 53*x**3 + 36*x**2 = 0. What is x?\nAnswer: -2\/3, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5473? (a) -2 (b) 0.5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3909.\nAnswer: 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 14. Let h = t + -4. Solve -3*y - 5 = -h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -249.52 + 248. Let w = 1.12 + u. Which is the nearest to -0.2? (a) w (b) -1\/3 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -476*j - 9*j = 868 + 3012 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 167, -27, 0.5, 1\/10, -1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*d + 8*d + 7*d - 1 + 1 + d + (4 + 0 - 2)*(-3*d + d + d) - d + 4*d - 5*d.\nAnswer: 23*d","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220 + 2*v + 220 + 7*v - 36*v.\nAnswer: -27*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/5)*o\/(o\/o**(-1\/14)))\/(o**(-2\/5)*o**(1\/9)) assuming o is positive.\nAnswer: o**(103\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)\/(f**(-3)*f))**(1\/5)\/((f**(-1\/6)*f*f*f\/f**(-1))\/(f**1*(f*f\/f**(-2))\/f*f)) assuming f is positive.\nAnswer: f**(17\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-63)\/14)\/(2 - (-25)\/(-20)). Let x(s) = -s + 2. Suppose l + 5*z = 12, 0 = -0*l - 2*l - z + 42. Let a(b) = 20*b - l*b + 0 + 4. Give n*a(t) + 11*x(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(352\/(-12)))\/(-1). Which is the third biggest value? (a) -2 (b) v (c) -2\/11 (d) 3\/5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -178007, -178005, -178003, -178001?\n\"Answer: 2*f - 178009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 1090 = 1054 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000 (base 2) to base 3.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 614 minutes after 12:12 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000023313 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 5*j + 17*j. Suppose a = -0*a + 3. Calculate the least common multiple of a and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -4 - (7 + 10) - 1 - -12) + 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c08565 + 1b?\nAnswer: -c08548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from juujujsjujujjusjj?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 8*i, -n = 4*i - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpm when three letters picked without replacement from {r: 3, p: 7, m: 2}.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 87.4596*-5\nAnswer: -437.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2. Let l(q) = -61*q. Calculate l(t(j)).\nAnswer: 122*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*49\/((-637)\/(-78))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 475626 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 15 - (-4 + 6 + 2 + 3)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 - (4 + 4 + -9 + -10 + 2)) + 8.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 180, 294, 446, 648, 912, 1250?\nAnswer: 1674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -132 and 172.52.\nAnswer: 40.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(-21) - (-1016)\/(-3). Let v = m - -489. Let b = 265 - v. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 7*h**2 - 16*h - 6. Let n = 80 - 71. Let q be y(n). Suppose -q*d + 1859 = 47. What are the prime factors of d?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5*w - 24, 4*b + 5*w + 2 = 31. Let v = 0.1 + 0.1. Let m = v + 0. Is m >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 3*n - 9. Let w be z(0). Is 2 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*d**3 - 5 + 2*d**2 + 153 + 17*d**3 - 90*d**3 wrt d?\nAnswer: -174*d**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111 by 70.\nAnswer: -111\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -6\/11 (c) -0.4 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000065212345 rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 - 1.1. Which is the third smallest value? (a) 0.05 (b) -1\/8 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-3) + -3 - 3. Let b be 6*(24\/(-9))\/a. Suppose 2*c + x = -0*x + 20, 40 = b*c - 2*x. Solve -c = 2*w, w = -6*z + z + 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13041 + 12440?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22590312 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwk when three letters picked without replacement from kkkkwkwkwwk.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**4\/8 - 147621*s**3 + 12401487*s**2\/2 = 0?\nAnswer: -393698, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o - 30. Let d be c(7). Suppose 2*n + 4*u + 12 = -2*n, 3*n + 9 = -d*u. Sort -19, n, -5 in decreasing order.\nAnswer: n, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 - 8*b + 238. What is g(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 529914618 a multiple of 1781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8526?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a kilometer?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 32560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*m = -44*m - 19. Solve m*u + u = -100 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) -1 (c) -5.2 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 n when three letters picked without replacement from ggggggigigggggggnigg.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 12. Let w be o(14). Suppose -w*z = 7*z - 7*z. Let u = 15 - 14. Sort u, z, -19 in decreasing order.\nAnswer: u, z, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 951516721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/7713 and -167\/670068?\nAnswer: 574248276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*d - 26*d + 117*d - 28*d - 23*d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 3. Let a(m) = 0*m + 8 + m**3 - u*m**3 - 4 - 2*m - 2*m**2. What are the prime factors of a(-3)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3.089774 milligrams?\nAnswer: 0.003089774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.6108881 to 1 decimal place.\nAnswer: -55.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -540*h**3*o**2 + h**3*o + 2*h**3 + 45*h*o wrt o?\nAnswer: -1080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*b**2 + 788*b**2 - 394*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 15, 5*d = 4*h + 169 - 954. Let s = d - -1981. Suppose 0 = 2*i - 2*q - s, -3*q + 924 + 884 = 2*i. What is i rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 + 1 - (-78)\/(-21))\/3. Factor -c*s + 4\/7 + 6\/7*s**3 - 8\/7*s**2.\nAnswer: 2*(s - 2)*(s + 1)*(3*s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 11:39 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -9*a - 4. Let u(p) be the first derivative of 0*p**5 - 1\/3*p**6 + a*p**2 - 3 + 1\/2*p**4 + 0*p + 0*p**3. Solve u(t) = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 27. Let l = -394 - -206. Let o = l - -187.6. What is the closest to 2 in m, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 6:32 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(68))**2 - sqrt(17) - ((1*sqrt(136))\/sqrt(8))**2.\nAnswer: -sqrt(17) + 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2))**(2\/13)*(y*y*y*y\/(y\/(y*y\/(y**(-1)\/y)*y)))**(-6\/13))**8 assuming y is positive.\nAnswer: y**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*b**2 + 13\/5*b + 0.\nAnswer: b*(b + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f**3 - 4 + 8*f**3 + 4.\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 4:55 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a**3 + 22*a**2 + 932*a + 6. Let h(t) = 15*t**3 - 44*t**2 - 1868*t - 13. Let i(x) = 13*b(x) + 6*h(x). Find the second derivative of i(j) wrt j.\nAnswer: 72*j + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r. Suppose 5*t - 8*t = -24. Let s(i) = 5*i**2 - t*i**2 + 5*i**2 + 3*i**2. Give c(s(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/3*m - 2\/3*m**5 - 16\/3*m**2 + 4\/3*m**4 + 2*m**3 + 0 = 0 for m.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - 204*n + 257*n to the form w*n + k and give w.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**2. Let v(y) be the third derivative of -y**5\/30 - 3*y**2. Determine v(i(n)).\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - ((-7)\/(-2))\/((-4)\/8). Let s be ((-369)\/12)\/(v\/20). Let a = s + 4463\/28. Calculate the common denominator of -47\/18 and a.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13018 at most as big as -3580246\/275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 + 3*u**2 + 3*u. Let h be m(-3). What is the tens digit of (-9)\/h + (-342)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*t + 142*t + 49*t + 0*t + 2*t + 48*t.\nAnswer: 291*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h + 15557*h**3 + 3*h - 5*h**2 - 3 + 4*h. Let k = 304 - 301. Let w be v(k). What is w rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8527727 and 517.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1363894 and 32343772.\nAnswer: 226406404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3140414429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*h - 166*h - 48 = 4*q - 332*h, -7*q = 8*h + 9 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 - 7*r + 6. Let b = 72 + -71. Let p(c) = c - 1. Give b*j(n) + 5*p(n).\nAnswer: -2*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 5*b**2 - 7*b - 4. Let t be f(-4). Solve -2*k - t = -6*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2824*w + 2820*w - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2 + 4*g + g**2 - 4 - 2. Suppose -4*x = 5*h + 20 + 8, h = 3*x + 2. Give o(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 453660 and 1179?\nAnswer: 534865140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4260?\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5 - 6 = 0. Suppose m = 4*w - 2*d - d, 4*w = -4*d + 32. Which is smaller: w or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1502 - -1497. Put 0, -17, m in increasing order.\nAnswer: -17, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhnnzwqwwlqwnqqnqnn. Give prob of picking 1 n and 1 z.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4251030 and 31?\nAnswer: 4251030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five quarters of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-11) + 40\/5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*m**3 - 74*m**3 + 21*m**3.\nAnswer: -154*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2904, -2907, -2904, -2895, -2880?\nAnswer: -2859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -742*q - 15732 + 59510 for q.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 524614411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 8. Let h(x) = 2*x - 7. Let t be h(-3). Let l be (t\/(-1) - 3)\/2. What is the tens digit of d(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1289, 5120, 11505, 20444?\n\"Answer: 1277*n**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttet when four letters picked without replacement from {e: 5, t: 5}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**7\/56 - c**6\/40 - 9*c**5\/16 + 25*c**4\/16 + 7*c**3\/4 - 9*c**2 - 142*c. Suppose v(x) = 0. What is x?\nAnswer: -4, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 7 + 10)*(3*f**3 - 3*f**3 - f**3) + (4 - 4 - 2*f)*(f - f - f**2) + (-5*f**2 + 5*f**2 - 2*f**2)*(-2*f + 6*f + f).\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*i + 88, -2728*i + 2723*i = q - 30. Which is greater: 70 or q?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.48, 7\/9, -5, -9?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 17*x**2 - 403*x - 2984. Calculate q(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 784.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4.4618 * -0.5\nAnswer: 2.2309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01406582 rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 109, -1, 21, 4, -0.4, 0.4 in increasing order.\nAnswer: -1, -0.4, 1\/4, 0.4, 4, 21, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 w when three letters picked without replacement from wtfwtgfwtigwfdftg.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(7\/3)*z)\/z)\/(z\/(z\/z**(-31))) assuming z is positive.\nAnswer: z**(100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/40 or 4?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 158 + -101. Suppose 0 = -2*w + 4*w - 3*m - 3, -2*m + 18 = 2*w. Let o = b + w. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z - 6. Calculate i(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 138 = 2*s, 3*s + 5*c = 291 - 95. Let j = -67 + s. Solve 0*t - 5*t + 5 = j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 265 + 65?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1459 = 2887. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 8*q + 17. Suppose -2*h - 9 - 1 = 0. Let d be x(h). Let v be (-75)\/(-10) - d\/(-4). Solve -g + 2*w = 5, 2*g + 4*w = -2*g - v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/21)\/((-14)\/24) - -2. Let l = -1 + 0. Does z = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 722193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x = -4*m - 120, -254*x - 5*m = -255*x + 18 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1657798 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2842197 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-55)\/20 - (0 - 0). Let g = 1516.7 - 1516.7. Is a at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.7 times 0.144873?\nAnswer: 6.9104421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1046\/140595?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3076079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141486 is divided by 2947.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 60*t + 7*t - 13*t - 6*t. Let y(c) = c. Give y(l(r)).\nAnswer: 48*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, 9, 33, 79, 153, 261, 409, 603?\n\"Answer: v**3 + 2*v**2 - 5*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -125 + 110. Let u = n + 15. Which is the second biggest value? (a) 0.7 (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 2. Let c(n) = 3*n**3 - n**2 + 1. Let u be c(1). Let s be g(u). Solve -5*h + 4*m = 0, -m = -4*h - s*m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 - 472*w + 13577. What is v(-262)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*g + 2, 3*g + 5*n - 15 = 2*n. Let z = -63 + 73. Suppose 0 = -2*t + 3*u - 2, -4*u = -5*t + z - 1. Solve t*j = 2 + g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 15*b**2 - 2*b - 7. Calculate l(-15).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*z = 14044 - 13860 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -63494, -1, -2, -0.1, 5.\nAnswer: -63494, -5, -2, -1, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -11, 83, 279, 613, 1121, 1839, 2803?\nAnswer: 4049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 330.6308778908.\nAnswer: 325.6308778908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1054 + 1056. Determine j so that 0 + 1\/4*j**5 + 0*j**3 + 0*j**z - 1\/4*j**4 + 0*j = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 81 = -6*l. Are 26 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*n**4 + 4*n**2 - 28*n - 397 - 17*n**4 + 394 - 18*n + 4*n as v*n + d*n**4 + c + o*n**3 + j*n**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -456 and 77.\nAnswer: -35112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2 + 4*g - 7*g + 1 + 4*g. Let x be n(1). Solve 0 = 3*o + 2*f + 7, 2*f + x = o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39d254 (base 14) in base 12?\nAnswer: 802876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1469, -41737, -113747, -214561?\nAnswer: -344179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**5\/4 - 13297*v**4 - 744775*v**3\/4 - 1409815*v**2\/2 - 1010829*v - 478818 = 0.\nAnswer: -9, -2, -1, 53202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57581*l = -57584*l - b - 7, 4*l = 2*b + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 104 in 2, 12\/13, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922887 is divided by 307571.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1840.286t to grams.\nAnswer: 1840286000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2633621 divided by 1?\nAnswer: -2633621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/90)\/(12\/(-27))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3344*r**3 + 5*r**2 + r - 12. Let x be l(-3). Suppose -31*g - x = -37*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62279 (base 14) to base 3\nAnswer: 110000101122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1554*t = 1408*t - 5256 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -r + 6, 2*r - 87 = 4*k - 69 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 200823590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 - -63. Suppose -4*n = -g - 8. Factor 8\/7*p**3 + 2\/7*p**n + 8\/7*p + 2\/7 + 12\/7*p**2.\nAnswer: 2*(p + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 220 (c) -3 (d) 62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 101010100111001?\nAnswer: -101010100111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -248 divided by -2.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10177?\nAnswer: 10177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 53.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 15.9883\nAnswer: 3.19766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 0)\/(2\/(-4)). Let d = 1595 + -1588. Let w(i) = 2*i**2 - i. Let y(c) = -2*c**2 + c. Give d*w(s) + r*y(s).\nAnswer: 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**4 + 16*w + 3 - 19*w**2 - 2*w**4 - 2*w**3 + 12*w**2 + 6*w**2 to the form h + g*w**3 + a*w**4 + i*w + u*w**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.119 - -11.519. Let s = 315 - 323.35. Let m = s + n. What is m rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**4 - 8720*j**3 + 7128600*j**2 - 2590058000*j + 352895402500 = 0.\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**3 - 3*w**2 - 17*w - 16. Let h(s) = 4*s**3 - 2*s**2 - 18*s - 15. Let y(t) = 3*f(t) - 4*h(t). What is the tens digit of y(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22.2 - 312285276\nAnswer: -312285253.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 8*f**2 - f. Suppose 3 = -4*d + d. Determine h(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(153) + ((sqrt(153) - (sqrt(153) - (1 + sqrt(153))))*2)**2 - (-4 + 2*sqrt(272))).\nAnswer: 114*sqrt(17) + 3720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5*sqrt(153) + sqrt(153)) + sqrt(153))\/sqrt(9) - (sqrt(170)\/(-1*sqrt(10)) + 2 + sqrt(153)).\nAnswer: -2 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + r = -2*i + 35, -5*i - r = -43. Let d = i - 2. Let q(w) be the third derivative of -w**6\/120 + 7*w**5\/60 - 7*w**4\/24 - 304*w**2. Calculate q(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 77175.67 to the nearest one thousand.\nAnswer: 77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 - -10?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -3*t - t + 8*t + 55, -15 = 3*t for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9214 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 202351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 191.953 - -0.047. Let x = l - 192.000097. What is x rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 3. Suppose 4*f + 14 = -2*t, -f = 3*f - 2*t + 34. Let h be -2*(-3 - 9\/f). List the prime factors of i(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -6. Let d = u + -4. Let p = d - -5. What is the second smallest value in p, 1\/7, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 2*j + 3*j. What is the remainder when 87 is divided by j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-6)*3 + (-3 - -1). Let s = -1 + -1. Let q be 1 + -2 + s + 2. Which is smaller: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 301532 and 40012?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -236 + 283 + 3588\/(-76)\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -4\/391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19558 + -19560. Let n(a) = -6*a - 3. Let b(j) = 6*j + 4. What is u*b(l) - 3*n(l)?\nAnswer: 6*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5*(-8)\/(-60))\/((-4)\/18). Suppose 19 = -5*l - k, -5 + 0 = y*l - k. Let q = 3 - 7. Which is the smallest value? (a) 5 (b) l (c) q (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75894\/935748 + (-2)\/(-204)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -64, -75, -86, -97?\n\"Answer: -11*p - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1482308505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y - 56. Let s(k) = 2*k. What is s(x(m))?\nAnswer: -4*m - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + (-4 - 0))\/(-1)*1. Suppose t*c = 3*m - 1804, 0 = 5*c + 4*m + 1171 + 612. Let w = 535 + c. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128160790 by 25632158.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.3905 rounded to the nearest integer?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 689404.8 months in millennia?\nAnswer: 57.4504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - k + 58 = 0, c - 5*k - 46 = -2*c. What is the greatest common factor of c and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, x: 1, b: 3}. What is prob of picking 3 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -0.4. Let d = -31 - -31.2. Which is the third smallest value? (a) t (b) -1\/4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48358.25 nanograms to milligrams.\nAnswer: 0.04835825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2911 + 11636 - 2912 - 2910 + 14*g**3 - 2903.\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 18346742.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 0.2, -4.1, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 6*f**2 - 8*f - 11. What are the prime factors of p(5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 4*w**2 - 8*w - 2. Give c(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * 1.8\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171596 = -4*y + 4*i, -61*i = -2*y - 60*i + 85795. List the prime factors of y.\nAnswer: 2, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4612\/20997 + 6\/2333. Sort h, -5, -7\/4, -3\/4, 1\/5 in descending order.\nAnswer: h, 1\/5, -3\/4, -7\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00107459 to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 38*f - 3. Let i be r(1). What is the third derivative of i*c**3 - 3*c**2 + 10*c**2 - 25*c**3 wrt c?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 63*m**2 - 411*m - 131. Let w be c(69). Solve -w = 8*v - 36 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2 - 3*j**2 - 2 + 2*j**2 - 15*j + 10. Let q be t(-15). Is 8\/q - (-6902)\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 3:15 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 3*c + 116 = 0. Let h = -26 - c. Solve -h*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23093319 and 97621.\nAnswer: 2381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 38, 97, 180?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -7.0000027. What is s rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 329 - 154. Let c = f + -180. Let w = -3.96 - 0.04. Sort 0, w, c in descending order.\nAnswer: 0, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2699423 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: List the prime factors of 609896402.\nAnswer: 2, 41, 7437761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 - 11*d + 7. Let w be x(5). Let a(i) = -i**3 + 4*i - 1. Let l be a(w). Let y = -133 + 134. What is the nearest to 0.1 in y, 4\/3, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1058, -217, -5 in decreasing order.\nAnswer: -5, -217, -1058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8357\/28248 + 1\/2568. What is the common denominator of -23\/120 and m?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1869326387?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 + 33. Let b = -29.029 - y. Let x = b - -1.129. Is -1\/2 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -11. Let l = -13.3146 + 13.1146. Which is the closest to l? (a) 3\/2 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*w + 76*w - w**3 - 26*w + 151*w**2 - 26*w to the form b*w**2 + d + m*w + q*w**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*h + 10, -3*w - 30 = 2*h - 5*h. Solve -g - 5*i + 15 = 0, -13 = h*g + 5*i - 2*i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (-1 + 20310)*18\/(-15 - -33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 6512896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -109*b + 2013. Let j(x) = 136*x - 2011. Give -5*g(o) - 4*j(o).\nAnswer: o - 2021","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 229320, 229311, 229308, 229317, 229344, 229395, 229476, 229593?\n\"Answer: v**3 - 3*v**2 - 7*v + 229329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -16*s + 14*s + 10, 3*r + 4*s - 6335 = -6315 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2\/2 - 425*i\/2 + 642 = 0.\nAnswer: -428, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(98) + sqrt(98)*-1 + 0 + -1*sqrt(98)*-1))**2.\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 13 = -3*a + 2*a, 0 = -x + 4*a + 17. Suppose -u + 4*q + 20 = -5*u, u + 3*q = -15. Solve x*r + 3 = -2*z, 5*r + 0*z + z - 1 = u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/391 in 0.3, 1, -0.3, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*q + q - q)*(-1 + 1 - 1) + 2 + 2*q - 2 + 3 - 3 - 6*q)*(-7*q + 3*q + 2*q) as u*q**2 + x + d*q and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.718 - -0.078. Round k to 1 dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 17 = -13. Suppose 0 = 3*x - 6*x - 132. Let a = m - x. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5276 divide 7182642284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-4))\/((-15)\/(-260)). Suppose -a - 13 = -h, 23 = 3*h - 4*a - t. What is the remainder when 446 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**40*b*b*b))\/b)\/b**(-44) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 9. Let c be u(9). Suppose -f - 2*s - 2*s + 86 = 0, -5*f - 4*s + 366 = c. Calculate the smallest common multiple of f and 1.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 9:43 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - j**2 + j - 22. Let z be c(0). Let b = -72 - -113. Let d(k) = k - 41 + b. Let a(i) = -4*i. What is z*d(w) - 6*a(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 27*l - 21. Let b be h(15). Suppose 51*g - 59*g = -b. Let i(y) = y + 1. Let r(u) = 6*u + 7. Determine g*r(p) - 21*i(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 42*v + 16*v.\nAnswer: 58*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -171.712 (c) 1\/8 (d) -2\/229 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 108723 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/2 - 1) + (-6 - -9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - (-64 - (44 + -63)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p**2*q**2 - 2*p**2*q - p**2 + 9*p*q**2 + 59*p wrt q?\nAnswer: 2*p**2*q - 2*p**2 + 18*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -1)*(2 + 2). Suppose -l + c = -7 - g, -2 = 2*c. What is the greatest common factor of l and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0455 + -0.045492584. Round y to 7 dps.\nAnswer: 0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.8 + -17.887. Let w = j + -38.913. Let f = w + 37. What is the nearest to -0.2 in 2\/25, f, 0.5?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**5\/60 - 11*c**4\/24 + 2*c**3 + 12*c**2. Let v be n(7). Let k = v + 12. Let p(s) = -s**3 - 2*s**2 + 5*s - 2. Calculate p(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556482699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**4\/13 - 29888*q**3\/13 + 166812624*q**2\/13 - 411872990080*q\/13 + 379322010698656\/13 = 0.\nAnswer: 3022, 3974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -5\/3, 1\/5, -18?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 5. Let f = -6 + w. Sort 2\/3, f, -2\/3 in descending order.\nAnswer: 2\/3, f, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106357?\nAnswer: 106357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/(-35))\/(670\/(-16415))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2606 - -2608. Let q = 0.07 - 4.07. Let p be 1\/2*(-2)\/4. Which is the closest to 4? (a) p (b) q (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -259*k**3 - k**2 + 3*k + 12. Let b be o(-4). Suppose -10*x = 20*x - b. List the prime factors of x.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40668470?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25243 + 9147 + 6134 + 4946)*(0*q**2 + 3*q**2 - 5*q**2).\nAnswer: 10032*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 5) + -4 + (0 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.271 + -4.771. Let o be (-4)\/(-6)*1\/2. Sort -1\/2, o, l in decreasing order.\nAnswer: l, o, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128 and 36416.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23471 (base 8) to base 4.\nAnswer: 2130321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 279.8459?\nAnswer: -111.93836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**9\/((i**(-2\/5)\/i*i)\/i) assuming i is positive.\nAnswer: i**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.08 rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 6*p + 3. Let k be s(-5). Let c be (-89)\/2*k*1. Let v = c - 57. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6119 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -261165, -1044668, -2350507, -4178682, -6529193, -9402040, -12797223?\n\"Answer: -261168*q**2 + q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -311.773 + 311.8. Which is the third smallest value? (a) -1 (b) m (c) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.266208 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17b (base 13) in base 11?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 7 + 19 - 2*s**2 - 193*s**3 - 10 + 1 + 3*s**2 to the form v*s + c + f*s**3 + b*s**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -385786605*p**2 - 625003*p - 140?\nAnswer: -771573210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 38. Let d = 19 + -12. Solve -d*m + 2*m = c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 127.72 and -61618917276.\nAnswer: -61618917148.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 7*y**2 - 2*y - 3. Let v be q(6). Let d be (-12)\/v*21\/(-6). Find the third derivative of 26*x**5 - 15*x**2 + 31*x**d - 35*x**2 wrt x.\nAnswer: 1560*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156197758?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 65*a**3 + 230*a**2 + 138*a + 78. Determine w(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a - 62. Let m(z) = 5*z + 126. Determine 3*m(d) + 7*o(d).\nAnswer: d - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*m + m - 99, 2 = 2*m. Let v = i - 23. Is v - (-2)\/((-2)\/(-21)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/9 or 8664?\nAnswer: 8664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 13 = -10. Let b be t\/(-7) - (10\/14 + -1). Let i be (0 + b + 2)*1. Which is smaller: 1\/12 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40305955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -1. Let r(c) = 0 - o*c - 1 + 1. Let i(u) = -12*u. Determine r(i(f)).\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*j**2 - 2*j**3 - 31*j + 31*j + (3*j - j - 3*j)*(3*j**2 - 4*j**2 + 3*j**2) as w*j**2 + b*j + l*j**3 + z and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g + 3*g**4 - 4*g + (-17*g**2 - 2*g**2 + 5*g**2)*(g**2 + 2*g**2 - g**2).\nAnswer: -25*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/4302 and 73\/11472.\nAnswer: 34416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10982529 and 2919.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2462126*w + 2. Let n(d) = -41*d**2. Determine a(n(b)).\nAnswer: 100947166*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/20 + (-20)\/50. Let l be (-22)\/28 + 4\/14. Is l at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -0.51.\nAnswer: 1.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**7\/105 + 74*z**6\/75 + 3*z**5\/50 - 22*z**4\/3 - 148*z**3\/15 - 2*z - 1896. Find q, given that a(q) = 0.\nAnswer: -1, 0, 2, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**4\/4 + 4*l**3\/3 - l**2 + 13. Let q be b(2). Suppose -4*u = -q*u + 3344. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-10)*35\/(-2). Let s be ((-5)\/(-15))\/(-1 + 0)*-44. Is s bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.152*8\nAnswer: -1.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2\/4 + 40191*l\/2 - 37756483\/4 = 0. What is l?\nAnswer: -80849, 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -533 - -554. What is the highest common divisor of i and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 707 and 692650.\nAnswer: 69957650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1\/c)**37\/((c**(-1\/4)*c)\/c)**(-31))\/(((c*c*c**(1\/5)*c)\/(c**(-4)\/c))\/(c*c\/(c**(-2\/9)*c)*c**(-1\/4))) assuming c is positive.\nAnswer: c**(-674\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12400 (base 8) to base 12.\nAnswer: -3140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11258, -22508, -33758, -45008, -56258?\nAnswer: -67508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p - 4500 = -40*p. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 9. Let s = -131 - -134. Let k(u) = u**3 - 5*u**2 + 4*u + 3. Let b be k(4). Solve -s*l = b*o + 12, -o - 4*o = -m*l - 20 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232961?\nAnswer: 232961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 53*k - 1967*k + 8 - 6 to v*k + a and give v.\nAnswer: -1914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2589.5 to the nearest ten.\nAnswer: -2590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1002 + -323033?\nAnswer: -322031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -205833 + 205977.059. Let l = 144 - b. Let g = l + 0.05899942. Round g to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -637970 divided by -2?\nAnswer: 318985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 478*j - 1297. What is the hundreds digit of f(30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/255 and 125\/204.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 446062*s**3*v**2 - 31415572*s**3 + 3*s*v + 99*v**3 wrt v?\nAnswer: 892124*s**3 + 594*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18 + q**2 + 22*q**2 + 18 + 170*q - 7*q**2 wrt q?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5395*w**2 - 135620*w + 120900.\nAnswer: -5*(w + 26)*(1079*w - 930)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 5.3.\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 30*o**2 - 206*o. Let s be p(7). What is the highest common factor of s and 1281?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + a - 20 = 0, 2*a = -2*a + 8. Suppose -2*n + 46 = -4*d, -4*n - d = s - 110. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -28. Sort 5, 0, k in ascending order.\nAnswer: k, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-3))\/(-14*7\/(-294))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -5, 0.8, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12231 and 172473408?\nAnswer: 4077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 8:42 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9e81 (base 16) to base 5\nAnswer: -2244302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1770a (base 15) in base 16?\nAnswer: -1283b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 10) to base 5.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-920)\/(-175) - 3\/(-21). Let u = h - 6. Which is the third smallest value? (a) 0.5 (b) -1\/3 (c) u (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.8 - 1.9. Which is the nearest to 0? (a) 3\/8 (b) h (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1045*c**2 + 2. Let g be o(2). Let l = g - -29187\/7. Calculate the common denominator of 160\/(-44) + 0 + 0 and l.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.1943 - 2.7943. Let q = 4 - 7. Which is the third biggest value? (a) q (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1660.52 - 1609. Round f to the nearest integer.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 102475165, 102475166, 102475167, 102475168?\n\"Answer: p + 102475164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**2 + 5*q - 2. Let g(i) = -i - 7. Let o(h) = h - 11. Let k be o(0). Let l be g(k). Let x(r) = 2*r**2 - 3*r + 1. Calculate l*j(n) + 7*x(n).\nAnswer: -2*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1568 and 9574992.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-208088)\/(-259))\/(-74)*7.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -53. Let p be 7\/(-28) + r\/(-8). Let v = 237 - 473\/2. What is the closest to p in 1, v, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 499*c + 125 - 2121 = 0. What is the fourth biggest value in -1\/2, 2\/13, 0.4, c, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2326719.\nAnswer: 3, 775573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 7 = 4*i. Let l be (i - 0)\/(403\/26). Which is bigger: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1392*o - 4*c - 43 = 1391*o, -5*c - 35 = -5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/5, 1, 20, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 20*n**2 + 19*n + 4. Suppose -6*b = -109 - 5. Give p(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -126.6 and 115468.\nAnswer: 115341.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 4, 5 in ascending order.\nAnswer: -24, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a**2 + 116*a - 16. Let t be m(23). Let z(u) = 6*u - 5. Determine z(t).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 447 = 33*b. Let n be b\/((-65)\/6)*5\/2. What is the nearest to -1\/80 in -0.1, -5, n, -2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*g**3 - 13*g**2 - 60 - 33*g**3 + 6 - 37*g**3 + 109*g**3 to the form p + v*g**3 + w*g + u*g**2 and give p.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -6234 smaller than -199495\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 336590*i - 14473359. Give b(43).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 7*f**2 + 3*f - 17. Calculate h(8).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5719 and 9804?\nAnswer: 68628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (2 - 6)*(-8 + 117\/13 + -6125)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 429418 - 429418 + 5*p**2 + 0*p.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*b = 204, 95 = -4*l + 3*b + 468. Let d(z) = -z**2 - 17*z + 2. Let n be d(-12). Let k = l - n. Calculate the remainder when k is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/75203 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 17*x - 19)*(3*x + 0*x - x + (-x + 7*x - 4*x)*(0 - 2 + 5) - 2*x + x + 2*x).\nAnswer: 153*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 + 65. Let f be (0 + h)*3\/(-6). Suppose f*l - 157 = -w, 5*l + 754 - 165 = 4*w. What are the prime factors of w?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 3:42 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*c*f**3*n**4 + 2*c*f**3 + 9*c*f**2*n**2 - 7*f**3*n**2 + 8*f**3*n - 34954*f**2*n**4 - 199*f**2*n**2 + 2*f*n wrt n?\nAnswer: 336*c*f**3*n - 838896*f**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2.972. Let k = -0.742 - l. Round k to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5108284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538258?\nAnswer: 2, 7, 38447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 2*o - 4. Let q be y(3). Let k = 43\/10 + -25\/6. Is q greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -8 + -5 - ((48 - -18) + -76)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -184, -264, -342, -418, -492?\nAnswer: -564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8342)\/388)\/(((-4)\/(-16))\/((-2)\/(-4)))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95278929?\nAnswer: 3, 97, 327419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*r + w - 23 = 0, 0 = r - 4*w - 3. What is the greatest common divisor of r and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11 - 1074706453947.\nAnswer: -1074706453947.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1876 + 27735. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = -3*a + 75*i - 15*i, -9 + 3 = 3*i for a.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) -2 (b) -1 (c) 1 (d) -0.121\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*w - 594 = 0, 64042*w - 64043*w + 9 + 1 = 4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 17*w**2 + 28*w - 17. Let p be t(-13). What is the highest common factor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12521 and 59310?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -458 minus 3?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 219729538221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllizhihiihlhrrr. What is prob of sequence zh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-149)\/(17433\/78)*(2 - -70)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 509114 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**2 + 28. Let o(j) = 102*j. Calculate o(t(m)).\nAnswer: -204*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 99*b - 204. Is t(6) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 134003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 6*u + 7. Let o be j(-6). Solve 32 - o = -5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -1\/3, -1\/22, 115?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490664 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htst when four letters picked without replacement from {s: 1, h: 6, t: 4}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -583 - -1033. Is s a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/8))**(2\/21) assuming y is positive.\nAnswer: y**(1\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 9*u - 2. Sort -5, u, 3.\nAnswer: -5, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-5 + 5 + 3 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 420 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -713 + 713 + a**2 - 7*a + (-4*a + 2*a + a)*(2*a - 1 + 1) + 0 + 0 + 3*a**2.\nAnswer: 2*a**2 - 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*q - 246 = -16. Let x be (2\/(-7))\/(65\/(-35)). Which is the second biggest value? (a) x (b) 15 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 671061.4 decades to centuries.\nAnswer: 67106.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/1404 and -31\/54.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 l when three letters picked without replacement from gggmccchghgjljmglj.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2910 and 1130826?\nAnswer: 5654130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 10 (b) 5 (c) 2\/11493\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 67*c**3 - 1783*c**3 - 1677*c**3.\nAnswer: -3527*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*j + 21 = 96*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4270001 is divided by 5391?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**4\/5 - 25842*o**3\/5 + 722988*o**2\/5 - 5059544*o\/5 = 0?\nAnswer: 0, 14, 25814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5641159*a + 5*a**3 - 11282197*a + 5641038*a.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347886?\nAnswer: 2, 3, 7, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, n: 2, z: 6}. What is prob of sequence znvn?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72924 by -2.\nAnswer: 36462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -686165 (base 9) to base 5\nAnswer: -101130141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 - 9*w + 23. Let n be j(0). Sort -3, 3, -1, n in descending order.\nAnswer: n, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2. Let k = 5 + -3. Suppose 2*b = -2*b + 4*i - 4, 6 = 2*i. Let u(r) = -3*r**2 + b*r**k - r**2. Calculate u(f(h)).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -6*f - 12 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1031 - 486 + 2141)*(-1 + 1 - 2*s) - 2*s + 4 - 4)*(-31 + 9 - 3) in the form w*s + m and give w.\nAnswer: 31250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1382754 and -108.\nAnswer: 14.9337432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 4 = 4*k, -u = 2*k - 1 + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 5*n**2 - 6*n - 2. Let p be h(-4). Suppose -2*f = -x + 73, f - p*f + 3*x = 185. Find the common denominator of f and -26\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-1 + -2 + 3). Let n(c) = c**2 + 2*c + 200. Let x be n(k). Round x to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -27*z**2 + 0 + 1 + 6*z + 28*z**2. Give o(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/15210 and -53\/3380?\nAnswer: 30420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1049 != 44622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - -12. Let m(o) = -o**2 + 3. Let h be m(0). Suppose h = x, 4*t + x + 3*x = b. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -28\/9 (c) -159 (d) -0.2 (e) -4 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15500 by 6.\nAnswer: 7750\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b**2 + 2*b**2 + 2*b**2 - 18*b**2 - 136*b = 0 for b.\nAnswer: -34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 37*w**2 - 3*w + 2. Let h be j(1). Let c = 112\/3 - h. Which is smaller: 1\/2 or c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + c - 5. Let b be m(6). Suppose 2*h - 13 = -b. Let o be 30397\/4 + (-9)\/h. Round o to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g + 64. Let h(i) = 6*i + 193. Calculate -11*a(b) + 4*h(b).\nAnswer: 2*b + 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -255 + 416. Calculate the greatest common factor of n and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (1 + (-7 - -7) + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 87\/((-56)\/440 + (-4)\/(-10)). What is the greatest common factor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 12512*d + 12517*d - 37545*d + 12518*d. Let p(j) = -2*j - 180. Determine r(p(s)).\nAnswer: -4*s - 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -11*u**3\/6 + u**2\/2 + 3*u - 9. Let x be 0 - 0 - (1 + 0). Calculate the remainder when 21 is divided by s(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 381*l = -625*l - 15172 + 3181 - 13159 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 0*j + 2*j)*(-4*j + 5*j + 20*j).\nAnswer: -42*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.79*0.0353.\nAnswer: 0.345587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -p - 2*p + 236, -v - 2 = 0. Suppose -p - 49 = -5*o. Let n = -115 - -120. Solve -4 = -2*d + 5*u + 13, 0 = n*d + u + o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162825 and 3006.\nAnswer: 976950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1492 and 0.1.\nAnswer: 149.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 4, 11, 0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**5 + 5224*r**4 + 724337*r**3 + 24779416*r**2 - 724336*r - 24784640 = 0?\nAnswer: -68, -1, 1, 5360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -4*z**3\/3 + 23267*z**2\/3 + 402529*z\/3 + 99178\/3 = 0?\nAnswer: -17, -1\/4, 5834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39\/2 + -13. Let m = -41\/6 + j. What is the nearest to m in -1, 3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 41*f + 1 - 2 + 4*f**2 + 3*f**3 - 41*f. Suppose 5*n - 30 = -5. Let p(q) = 7*q**3 + 9*q**2 - 3. Determine n*m(b) - 2*p(b).\nAnswer: b**3 + 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171878, -165859, -159842, -153827, -147814, -141803, -135794?\nAnswer: -129787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by 39\/(-3) + 10 - (1 + -2)*32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 9 = 5. Suppose -3*f + 10 = -b - 2, 3*b + 4*f - 29 = 0. Sort o, 1, b in ascending order.\nAnswer: 1, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3) + (-2)\/(-6). Let n = -3 + 6. Suppose -h = -y + n, h = -0*h - 2*y + 12. Is r less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 391*z - 14076. Let g(f) = -9. Give -1564*g(s) + q(s).\nAnswer: 391*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1362 divide 1794538512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11907 + 13770 = 622*g + 7017 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sus when three letters picked without replacement from {s: 6, u: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557832537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17363 is divided by 263?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -141, 3137, 5, -232 in increasing order.\nAnswer: -232, -141, 5, 3137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p**3 - 2*p**3 + 7*p**3 - 6*p**3 + 5*p**3.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -4, 2209 in increasing order.\nAnswer: -4, 3\/2, 2209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 367.4794 + 0.5.\nAnswer: 367.9794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2)*-2 - -1. Suppose 5*j = -f*j - 25, 4*b + 4*j = -20. Suppose 0 = -4*r - b*m - 3*m + 63, -5*m = -5*r + 70. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -1. Let f = -40 - -39. Sort q, 5, f in increasing order.\nAnswer: f, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 56\/(-2499) + 4\/(-42) - (-24)\/1071. Put -94, -0.2, j in decreasing order.\nAnswer: j, -0.2, -94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 442123.39 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11087 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1087392951 or 1087392949?\nAnswer: 1087392949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 11157*p**3 + 7*p**2 + 6*p + 6. Let m be y(-6). Let c be (-4)\/14 + (-23935656)\/14. Let s = m - c. What is s rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2\/3 - 396700*r\/3.\nAnswer: 5*r*(r - 79340)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.9 and 647.712?\nAnswer: 646.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 223165247 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -8*x - 36. What is the smallest common multiple of 4 and m(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114*v**3 - 989*v**4 + 498*v**4 - 11267*v + 492*v**4 + 1652*v**3 wrt v?\nAnswer: 12*v**2 + 9228*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16623 + 38*f + 16626 - 226*f in the form y + o*f and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8629.058 tonnes in micrograms?\nAnswer: 8629058000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5208 divide 660238992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3781*v - 55360 = 5136 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34190, -34188, -34186, -34184, -34182, -34180?\nAnswer: -34178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3511*x + 117. Let a(l) = -39. Give 6*a(w) + 2*s(w).\nAnswer: -7022*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 7. Suppose w = -3*p + 14, 5*w + 4*p - 90 + 31 = 0. Let s = -7 + w. Solve 0 = -s*v + v + z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0165 and 2382.\nAnswer: 2382.0165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31472 and 5620.\nAnswer: 157360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, u: 15}. What is prob of sequence ku?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/92, 3\/2, -3\/2.\nAnswer: -3\/2, -1\/92, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 903.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (119 - 47*a - 119)*(-31 + 46 - 44) in the form z*a + l and give z.\nAnswer: 1363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**5\/4 - 245*z**4 + 3957*z**3\/4 + 5167*z**2 + 977*z - 6888 = 0 for z.\nAnswer: -984, -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/2 + 331*d**2 - 64528*d + 3066560.\nAnswer: -(d - 296)**2*(d - 70)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 3*y. Let j(g) = g + 7. Let u(b) = b + 8. Let p = 3 + -6. Let x(w) = p*j(w) + 4*u(w). Determine x(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -29*a - 404. Give i(-12).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 11:07 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 545 - 479 = 2*p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -562 - 578 - 3*w - 574 + 1672. Calculate f(-19).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 + (-99 - -16) + 25 + (-1 - -2)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 a factor of 29595282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1682 and 86.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-12)*y**(-1\/14)\/y assuming y is positive.\nAnswer: y**(-183\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 13*t**2 - t - 11. Let w be z(-13). Is 5\/3 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 39*o**3 - o**2 + 2*o - 1. Let q = -7109 + 7114. What is the lowest common multiple of q and h(1)?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136 (base 7) to base 11\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, v: 10}. Give prob of sequence vgg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -4*t + 3*t. Solve -6*s - 2 + 14 = t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5739019, -5739008, -5738995, -5738980?\n\"Answer: a**2 + 8*a - 5739028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 21. Let c(i) = -13*i + 2. Let j be c(2). Let q = n - j. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -8*r + 4*r. Let s(y) = y**2 - y - 1. Let c be s(3). Let f be (1 + 3\/(-15))*c. Solve -5*a - m - 11 = -38, -f*a = 4*m - r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1492 + -463. What is the remainder when g is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7*b**2 - 4*b - 3. What is g(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 368702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 4*m + 5. Let x be o(-5). Let d(w) = w**2 + x*w + w**3 + 2*w**2 - 4*w. What are the prime factors of d(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/32 and 351\/(-5)*39\/(-468)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - -49. Suppose -5*f + 97 - 10 = 3*s, -5*f + b = -3*s. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-15)\/(-6)*(-16)\/20. Solve 2 + x = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 2) + -180 + 22 + (6 - (9 + -14)).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12985383*h**5*l**3 + 52*h*l**3 - 2*h*l - 2*h + 4*l**3 - 3*l**2 - 9 wrt h?\nAnswer: -259707660*h**3*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4724319.\nAnswer: 3, 1574773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 1120243?\nAnswer: 1120233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.9 + 13. Let j = d - -4. Let y = -1 - -0.6. Which is the biggest value? (a) y (b) 4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-4*35\/50)\/(137\/(-137))).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4206 divided by -6\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4533, -1, -304, -5.\nAnswer: -4533, -304, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/4)\/(3\/16). Suppose c*h + 2*v = 4*v + 458, 2*v + 344 = 3*h. Calculate the remainder when h is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 12*n - 13. Let x be v(13). Suppose -6*j - j + 259 = x. What is the remainder when j is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*j**6 + 15*j**5*s**2 + 11*j**2*s - 3*j*s**2 + 93*j + 3*s**2 wrt j.\nAnswer: 2520*j**3 + 900*j**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttc when three letters picked without replacement from ttcttitttmttcteetet.\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.44 + 0.24. Let j = -38 + 35. What is the biggest value in r, 3, j, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2364 and 13593?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -224883, -449722, -674561, -899400, -1124239?\n\"Answer: -224839*x - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -1276*d + d**3 - 8*d**2 + 445*d + 50 + 446*d + 389*d. Calculate x(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 10*l + 28. What is the remainder when 52 is divided by k(10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**4 + 464*g**3 - 17064*g**2 - 35504*g - 17980 = 0.\nAnswer: -145, -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 2*q + 36. Let o(a) = 9*a**2 - 31 - q*a - 5*a + 13 + 10. Let g(l) = -3*l**2 + 4*l + 3. Give -11*g(z) - 4*o(z).\nAnswer: -3*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -21342.5 - -2859684?\nAnswer: 2838341.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -5296721664?\nAnswer: -5296721669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4) + 34 + 168\/(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuuiuiimiuimiuim. Give prob of picking 2 u.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**5\/20 - 2*l**3\/3 + 2*l**2. Let h = -8 + 20. What is the remainder when k(3) is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vr when two letters picked without replacement from {r: 5, v: 5, t: 4}?\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l - 1. Suppose d - 3*o = 3, 10 = 2*o - 7*o. What is q(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 805158795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -142900 to the nearest one thousand.\nAnswer: -143000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*h = 636 + 59, -5*o + h + 705 = 0. Let i = o - 996\/7. Are 1 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*a - y, 0 = 2*y - 4. Let k be (-187)\/(-22) - a\/4. Let -16 + 68*r**2 + 42*r**3 + 30*r**3 + k*r**4 + 14*r**4 - 2*r**4 = 0. What is r?\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9330)\/(-2177)*((-26)\/(-6) - 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15300 and 18.\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 3 + 3)*(-4*j**2 + 3*j**2 - 6*j**2) + 0*j**3 + j**3 - 5*j**3 - j**2 + j**2 - j**3 - 3*j**3 + j**3 + 0*j**3 + (-j**2 - j + j)*(3*j - 5*j + j).\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3185, -7677, -12121, -16493, -20769, -24925?\n\"Answer: 4*a**3 - 4520*a + 1331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0078455426 rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 238 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - 1*(sqrt(156) - sqrt(156)*2) - sqrt(156))\/(sqrt(972) + -1*sqrt(972) + sqrt(972) + sqrt(972) + sqrt(12) + sqrt(12)).\nAnswer: sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((-63)\/14)*3\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8508870203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3268714, 0.5, -2, -1 in descending order.\nAnswer: 0.5, -1, -2, -3268714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 107 = -187. Let d be (-171)\/(-12) - (-3)\/(-12). Calculate the highest common factor of n and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8804 and 6?\nAnswer: 26412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*c + 12. Let x = c + 0. Let z be (-2)\/(-7) - 33\/(-7). Solve -z = v - x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3491173561 to the nearest integer?\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5071688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4565928, -4565921, -4565914, -4565907?\n\"Answer: 7*d - 4565935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*v**3 + 21*v**5 - 8*v**5 - 8*v**5 + (-5*v**2 + 0*v**2 + 3*v**2)*(2*v**3 - v**3 - 2*v**3).\nAnswer: 7*v**5 - 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 55493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 25263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 132128688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 2*j + 2229. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29982 by 2.\nAnswer: 14991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12.4, -3, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 74.69943 millennia?\nAnswer: 746.9943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -419\/14 + 220\/7. Let a(o) be the first derivative of -4*o + f*o**2 + 6. Differentiate a(p) wrt p.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u + 0*u + 45 - 22 - 12 - 17 - u.\nAnswer: -u - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -2105?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 1. Let b(s) = s**3 + 9*s**2 + 7*s + 3. Let k be b(r). Suppose -41 = -5*n + k. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -0.5, -3, 34 in ascending order.\nAnswer: -5, -3, -1, -0.5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -19*z**2 - 11*z + 12. Determine u(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(4*b - b - 4*b) - 5*b + 2*b + 2*b + 24*b + 3*b + 85*b.\nAnswer: 109*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13d63 + -1?\nAnswer: 13d62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3220 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 10*l = -8*k + 45, 0 = -18*k + 15*k + 4*l + 11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 342 and 95.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - f + 13. Let q be u(0). Suppose 2*w + 9 = q. Let z be (20\/8 - w)*6. Solve j + 16 = z*a, -8 + 20 = -3*j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -63.\nAnswer: 1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8057 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 81*r - 180*r + 77*r + (1 + 0 + 0)*(-r + r + 2*r) + 3*r - 3*r + 4*r.\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 333 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 656.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -98*z**5\/5 + 4858*z**4\/5 + 776*z**3\/5 - 174496*z**2\/5 + 99072*z\/5 - 14112\/5 = 0.\nAnswer: -6, 2\/7, 6, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + -2. Let k = 1811\/24 + -262\/3. Let g = k - -12. Calculate the common denominator of t and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.264267 millennia to years.\nAnswer: 8264.267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -j + 4*d, -11*j + 36 = -7*j + 4*d. Suppose -3*i + j*v + 434 = 0, 3*i - 3*v - 301 - 131 = 0. List the prime factors of i.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -557103\/5 - -111421. Find c such that -3\/5*c**2 - w*c**3 + 0*c + 1\/5*c**4 + 0 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353397 to the power of 1\/2, to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n**3 + 12*n**3 - 3*n**3 - 2*n**3 + 11*n**2 as c + g*n + b*n**2 + r*n**3 and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 6 = 2*z. Let j be (-2)\/8 - z\/(-4). Determine c, given that 0*c**2 + j*c + 0 - 1\/2*c**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4253*t + 2589*t - 4304*t)*(-3 + 3 - 2*t)*(-2*t + 4*t**2 + 2*t) to the form y*t**4 + r*t**2 + o + l*t + h*t**3 and give y.\nAnswer: -20304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6155277\/595 - 10345. Is b equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -129\/14? (a) -3\/2 (b) -20 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-12))\/(-5)*(-2844)\/7821.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 6*(-4 + sqrt(35)\/sqrt(7)).\nAnswer: -28 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 13. Suppose -2*j - 36 - 12 = 0. Let z = j + 60. Calculate the remainder when z is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, d: 1, f: 2, a: 2, z: 4}. Give prob of sequence fa.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 9 - 4 + 3 - 2 - 4 + 0 + 2 + (3 + 1 + 2)*(-3 - 2 + 6))*(b - 4*b + 4*b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 - 2.5. Let y = -910 + 24. Let u = y - -881. What is the nearest to 1\/2 in t, -4\/3, u?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2153156267 - 1?\nAnswer: -2153156268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85470700571 - -0.09?\nAnswer: 85470700571.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -68 + 22. Let w(o) = 35*o**2 + 885*o - 3594. Let l be w(4). What is the highest common factor of l and y?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20235.414 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 232*b**2\/5 + 624*b\/5 + 288\/5.\nAnswer: 4*(b - 6)**2*(5*b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fafaaaaa. Give prob of picking 4 a.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/13443 and 43\/18.\nAnswer: 80658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-400)\/3700)\/((-6)\/111)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 31259, 31279, 31299, 31319, 31339, 31359?\n\"Answer: 20*h + 31239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4375, -4365, -4341, -4297, -4227, -4125, -3985, -3801?\nAnswer: -3567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 1 (c) -1.6 (d) -9 (e) -5 (f) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 11 = p. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 701279 from -154505115.\nAnswer: -155206394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = y + 12, 3*y + 2*c = -c - 12. Let a be ((-6)\/(-9))\/(1\/y). Let n(v) = v**3 + 5*v**2 + 7*v + 5. Determine n(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15120 and 120?\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 30243 divided by 196\nAnswer: 30243\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 12*p - 1438*p**3 - 2201*p**3 - p**2 - 12 - 122*p**3. Let q be s(7). Round q to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.873261 nanograms to milligrams.\nAnswer: 0.000001873261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 37. Suppose 34*c = 36*c - 56. Suppose 7*h - c = -0. Solve h*o = m + 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 2. Let s(m) = m**2 + 112. Let w be s(l). Let x be 11564\/784 + 6\/(-8). Calculate the greatest common divisor of x and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + 272\/(-16))\/((-40)\/12 + 2)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*n, -v + 1 = -5*n - 10. Suppose x = -v + 2. What is the units digit of -1 + x + (14 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + j + 0*j = 0. Which is the closest to -3? (a) 3\/5 (b) 0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331856.\nAnswer: 2, 7, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1840\/32)\/23 - (-3 - (-3 + -1)). Put -1\/3, h, 9.1, 2 in descending order.\nAnswer: 9.1, 2, h, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-12684)\/35)\/(6\/(-15)).\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0)**(-4\/7))**(-46)*f*f\/f**(-3\/5)*f**(-1)\/f*(f*(f**0\/f)\/f)**(-37) assuming f is positive.\nAnswer: f**(188\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -429*i + 5. Suppose -10 = -5*c, 5*q = 4*q + c - 8. Is r(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w. Let s(o) = -o. Let q(b) = 10*s(b) + 4*v(b). Let i(r) = -r**2 + 0*r**2 - 16*r**2. Determine i(q(x)).\nAnswer: -68*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times -8307\nAnswer: 4984.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**3 + t**2 - t. Let f be l(1). Let h = -0.9 + -0.1. Let c = 10 + -12. What is the smallest value in c, h, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -41 + (14 + -13 - -11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + 87 - (31221 - 31217)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.7902 + -0.2088. Let x = 6.001 + -6. Let q = j - x. Which is the third biggest value? (a) -2\/11 (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 39.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.16 + -0.26. Let r be (-2)\/(-1)*(-10)\/(-4). Let m = 0 - -0.1. What is the nearest to k in r, -3\/7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (48\/(-4))\/((-6)\/8). Let s be (1 - 904\/i)*(-8)\/6. Let a = -74 + s. Sort 2, 4, a, -3 in decreasing order.\nAnswer: 4, 2, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*h - 15648 = 0, -5*n + 113*h + 19564 = 114*h. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 4. Let q be u(7). Let l = 1\/35 + 6\/35. Let h be (-3 - -7)\/(-7 + 2). Which is the second smallest value? (a) h (b) q (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -313420230 - 143?\nAnswer: -313420423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -7*l + 1064. Is l\/5 + 60\/75 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10814\/8*4*(1 + -2). Let g = v + 12138. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -90498 > 157\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2094*r**2. Let y(m) = 8*m**2. What is p(y(z))?\nAnswer: 134016*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 37*g**2 + 5*g + 276*g**2 - 68*g**2 - 46*g**2 as x + q*g + y*g**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5329*t**5\/3 + 143591*t**4\/3 + 711535*t**3\/3 + 322623*t**2 - 18216*t + 252 = 0. What is t?\nAnswer: -21, -3, 2\/73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 536609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 166471556 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 16*t**2 - 62*t - 4. Give o(-19).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -507 = -p + 54. What are the prime factors of p?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**4\/3 - 8*x**3\/3 - 2*x**2. Let m be ((-474)\/395)\/((-46)\/50 - -1). Calculate the remainder when h(m) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/1*(24 + -7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89\/(-1068)*(1 + 55\/(-10)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = y + 6, 2*b = -83*y + 88*y - 9. Solve 5*k - 34 = y*z, 2*k - 3 + 5 = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10946551.4 - 13700?\nAnswer: 10932851.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c + 166. Calculate z(-6).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.82 + -0.18. Let r = -3 - v. Let a = r - 2.9997. Round a to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000462066 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*l**3 - 182*l**3 - 18116*l + 18116*l.\nAnswer: -309*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojeoeeeeo. What is prob of picking 3 o and 1 e?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -444 at most as big as -1903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c - 39. Determine b(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 838\/17669 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1671, 6682, 15029, 26712, 41731, 60086, 81777?\nAnswer: 106804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -2, -0.5, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 8:31 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s + s + s + (-1 + 2 + 0)*(-11 + 11 - 2*s) + (0*s - 2*s + 0*s)*(-2 - 4 + 2) + (3 - 3 + 2)*(-s - 3 + 3) as w + x*s and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53793 and 265907.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**2*u**3 - 2*a**2*u**2 + 2*a**2*u + 37*a**2 + 5*u**3 wrt u?\nAnswer: -30*a**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 0*c**5 + 0*c**6 + 4\/21*c**7 + 0 + 15*c - 17\/12*c**4 + 0*c**3 + 0*c**2. What is the third derivative of l(r) wrt r?\nAnswer: 480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1872))**2*-1.\nAnswer: -1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 190 = -5*r, -4*m - 4*r + 9*r + 300 = 0. Calculate the smallest common multiple of 70 and m.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 8:40 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-3 + (sqrt(325) + 2 - sqrt(325) - sqrt(325)) + sqrt(325) + 5)**2 + 2)*5.\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1\/7, -214?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3 + 13 - 11 - 18*f**2 + 1. Let x(p) = -11*p. Calculate x(a(h)).\nAnswer: 198*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/4)\/(3\/(-6)). Find the second derivative of 3*a**u + 9*a - 5*a**4 - 4*a + 5*a**4 wrt a.\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5128775\/7 - -732683. Let u*c**5 + 24\/7*c**2 + 0 + 0*c + 12\/7*c**4 - 6*c**3 = 0. What is c?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -85041.\nAnswer: -85040.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trtxhxmthmrtt. What is prob of picking 1 m and 1 t?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6882823 to the power of 1\/2, to the nearest integer?\nAnswer: 2624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (39\/3)\/((-3)\/(-15)). Suppose -7200 = -o*j + 57*j. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -699 - -698.999298. Round m to 5 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22299 is divided by 22243.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1371742232767 and 70?\nAnswer: 1371742232837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-366 - 1688 + 362)*(2*u + 1 - 4 + 2).\nAnswer: -3384*u + 1692","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 15*s**2 + 15*s - 10. Let l be x(14). Suppose -3*f + 3 - 20 = -5*v, 2*f + 12 = l*v. Is -2 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 17*n + 1 - 2 - 37*n + 22*n + 2*n**3. Calculate a(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 1 (b) -203 (c) -1055 (d) -2 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/17 + (-97 - 263835\/(-2805))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f**3\/4 + 65*f**2\/4 + 10*f - 15 = 0. What is f?\nAnswer: -3, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1745.\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1654386, 1654376, 1654366?\nAnswer: 1654356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1802 = -2*p - 2*r - 1800, 0 = -2*p + 5*r - 33 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 + 6*g + 4. Let l(p) = 998*p - p**2 - 2034*p + 1035*p. Calculate i(s) + 6*l(s).\nAnswer: -4*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 339893820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5371\/84 - -261\/4. What is the common denominator of t and (23\/(-4))\/((-3)\/5)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/117 and -5\/18018.\nAnswer: 18018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.03 - -1. Let i = f - -0.33. Let r = 12729.1 - 12729. Sort r, -2, i in ascending order.\nAnswer: -2, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 t when two letters picked without replacement from {t: 2, z: 1, j: 3, k: 2, q: 4}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*k - 441. Let n = k + 209. What is the units digit of (n\/(-4))\/((-2)\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*o = 49*o + 32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6792448?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2264, -2186, -1870, -1196, -44, 1706, 4174, 7480?\nAnswer: 11744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 5:13 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u = -69105 - 526119. What are the prime factors of u?\nAnswer: 2, 3, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203574337 is divided by 82.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 29630*r - 43896845.\nAnswer: -5*(r - 2963)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7956 or 7957?\nAnswer: 7956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.25363975 to four decimal places.\nAnswer: 8.2536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 5*y + 55 = 0, 0 = 5*x + 105*y - 101*y + 55 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 970 + 590. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/11 (b) -2039 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -68 - -20 - -44 - (-23 - (0 + -1))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4 + g - 3*g**2 + 5*g**2 + 0*g**2 - g**2. Let w be (0 + 0)*(-21)\/21. What is i(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d + 1. Suppose 0 = 5*b - 10*b - 30. Let c(g) = 7*g + 2. Calculate b*c(y) + 10*w(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -180, -422, -772, -1236?\nAnswer: -1820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**3 - 3*q + 3*q)*(2659 - 2372 + 5121) in the form a*q + o + n*q**3 + f*q**2 and give n.\nAnswer: 10816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/8 of a day?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence we when two letters picked without replacement from {e: 3, p: 2, w: 1, u: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 253 divided by 36\nAnswer: 253\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 195756, 195766, 195776, 195786?\n\"Answer: 10*i + 195746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/1755)\/(0 + 4\/6).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 11*r**2 - 7*r. Let q(g) = 6*g**2 - 3*g. Let y(k) = 5*q(k) - 2*x(k). Let h be (2\/8)\/(-7 - 162\/(-24)). Determine y(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27, -6, 43, 120, 225, 358?\n\"Answer: 14*p**2 - 21*p - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 23, -140 in descending order.\nAnswer: 23, -37, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1323 and 1822947?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z + 8*z + 0*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 = 9*u + 139 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 52.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 71 - 63 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/135)\/((-75)\/(-1125))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4. Let u(h) = h - 7. Suppose 2*v + 2*v + 2789 = 5*o, 5*o - 2*v = 2787. Suppose -o = 7*m - 592. Give m*n(s) - 3*u(s).\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*y**6 + 43*y**3 - 18*y**2 - 19*y?\nAnswer: 240*y**3 + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30357, -121377, -273077, -485463, -758541?\nAnswer: -1092317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 2)*(-49)\/28 + -3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-3 - -4 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 10*j**2 + 9*j + 3. Let c be q(9). Let b(w) = -w**3 + w**2 + w. Let z be (-7 + 11 - (0 + 4))\/2. Let u be b(z). Solve u = -0*k - c*k - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3504492 is divided by 2702.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence go when two letters picked without replacement from ogoogg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*z - 2508, 5*a = -7*z + 3*z + 2036. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -264, -706, -1388, -2346, -3616, -5234, -7236?\nAnswer: -9658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 33, -0.1, 4\/7, 3 in increasing order.\nAnswer: -0.1, 4\/7, 2, 3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g*h**2*w + g*w + 189*h*w - w + 376 with respect to h.\nAnswer: 2*g*h*w + 189*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 27740*p**2 + 48080352*p - 48108096.\nAnswer: 4*(p - 1)*(p + 3468)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 3*w - 4. Let k be c(3). Suppose -y + 133 = 3*n - k*y, -y = -2. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1. Let n(z) = 2*z - 14. Determine 4*c(t) - n(t).\nAnswer: -2*t + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37, 177, 419, 769, 1233, 1817, 2527?\n\"Answer: k**3 + 45*k**2 - 2*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 8 = 2. Let o be 0*(-4 - (-6 - m)). Put 0.2, o, -0.1 in descending order.\nAnswer: 0.2, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 1)*(1 - 2*c + 13*c + 8*c) to s + m*c and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (11 - (4 + 4))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -141*g**2 - 2. What is y(1)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2510363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 262 = -39*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 328 - 253. Suppose 55*c - 56*c + n = 0. Calculate the least common multiple of 6 and c.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**2 - 458452*t - 33461667 = 0.\nAnswer: -458379, -73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -821 - -2017. List the prime factors of s.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/10*88\/44*5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h - 2. Let f(t) = -15*t - 4. Let n(z) = -3*f(z) + 7*g(z). Let k be n(-1). Solve -q + 2*j = -1, q - 5*q = -k*j - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2117\/80 + -132\/5. Find the common denominator of d and -173\/2244.\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3\/9 + 8*g**2 - 190*g\/3 - 1444\/9 = 0. What is g?\nAnswer: -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-15) - (-34)\/10. Let h = -1 + r. Suppose w - 106 = -w - h*b, 0 = -2*w + 3*b + 91. What is the greatest common divisor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5513433 from -60074870.\nAnswer: -54561437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1014 (b) 5 (c) -3\/4 (d) 0.3 (e) -1\/3 (f) -24 (g) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 29*o**2 + 10*o - 14. Let j be k(5). Let r = j + 108. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w**3 + 27*w**2 - 2*w - 12. What is f(-5)?\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnznznznznnz. Give prob of picking 3 z.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n**3 + 2*n + 1. Let q be w(-1). Suppose q*r = -5*o + 30, -2*o + 0*o + 2 = 0. Sort -4, r, 4 in descending order.\nAnswer: r, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h. Let m be x(-5). Suppose 2*k - 19 = 9. Suppose -5*a - 4 = -k, q - 2*a - 36 = 0. Calculate the highest common factor of q and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 7:08 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**2 - c + c**4 + 2*c + 4*c**3 - 2*c - 7*c**2 as y*c + l*c**4 + o*c**3 + x*c**2 + d and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2\/11, -9, 2\/19, 3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8)\/((f**(-3\/4)*f)\/f))\/(f**(5\/6)*f*f**(-2\/13)) assuming f is positive.\nAnswer: f**(-1393\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 1 = -2*p. Let t be 1\/(-2*(-2)\/4). Let b(v) = 2*v + p - t + 0. Let n(k) = 6*k. Determine n(b(g)).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3339676 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 17\/4 (c) 0.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 161785849 divided by 488779?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 1 + 13 = 0. Let m be (-6 + 3 + r)*0. Solve 0*o - 5 = -5*o - 4*q, m = 3*o + 3*q - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55062424 (base 8) to base 16.\nAnswer: -b46514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -766, -1360, -1952, -2542?\nAnswer: -3130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 87 = 123 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -72151 - 3142511?\nAnswer: -3214662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 92636719?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87451 is divided by 2260?\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 20. Let t = 4 + 4. What is the greatest common factor of x and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 33516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -89447 smaller than -89476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h - 5. Let u be b(5). Suppose -u*a = -3*p - 753, -a + 153 = -0*a - 3*p. Suppose q = 4*q - a. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 - 1194*v - 2369. Determine y(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n - 13. Suppose -7*s + 30 = -2*s. Let a be m(s). Calculate the highest common factor of 92 and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 155*f - 35. Let j(u) = -17*u + 4. Calculate -4*d(p) - 35*j(p).\nAnswer: -25*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31\/7 - 306\/77. Calculate the common denominator of -145\/24 and w.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*n + 10 = 0. Let d = 22 + -18. What is the second derivative of 5*p**5 - 10*p - 4*p**5 + d*p + 0*p**n wrt p?\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228715 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 140 in -0.1, -148\/25, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*y. Let m(k) = -k - 4. Let f be m(-4). Suppose f = -y*p + p - 1. Solve -r = -p - 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 0*f**2 - 2*f**2 - f - 3 + 6*f**2 + f**3. Let x be u(-4). Does 13 divide (x + -2 + 2)*17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 265 or 189452\/715?\nAnswer: 265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 1.7 (b) -13 (c) 342 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1136886 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 945.9 - 1023. Let t = k - -79.1. Let p = 2 - 3. What is the closest to t in p, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28408.69 + -28409. What is the nearest to 2\/5 in y, 5, -1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-35))\/(6112\/64176)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 0*i**3 - 2*i - 4 + 0*i - 4*i**2 - i**3. Let v be q(-4). Let j = -815\/6 - -136. Which is the smallest value? (a) v (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1812775968 to the nearest integer?\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**3 - 6 - 5 - 8 - 8*r**2 + 20 - 2*r**3 - 4*r as t*r**2 + j*r**3 + v + g*r and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(2*10\/(-100)))\/(39\/(-13)).\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 251.11203 - 49.12693. Let x = m + -202. Round x to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 4*b + 7. Let n be r(-6). Let c(h) = -h**2 - 5*h + 3. Let s be c(n). Find the second derivative of 4*y**3 - s*y - 5 + 0 + 5 wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j**4\/5 - 8*j**3 - 276*j**2\/5 - 48*j + 112\/5 = 0. Calculate j.\nAnswer: -2, 1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -2\/13, -0.9, -3, 5\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/4 (b) 4 (c) 2 (d) 0.094\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7047295?\nAnswer: 5, 1409459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273190.\nAnswer: 2, 5, 17, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1925, -7655, -17209, -30593, -47813?\n\"Answer: -k**3 - 1906*k**2 - 5*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1234*f**5 + 334*f**5 - 639*f**5 + (2*f**4 + 0*f**3 + 0*f**3)*(2*f - 5*f + 5*f) + 2*f**5 - 2*f**5 + 2*f**5.\nAnswer: -1533*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 14 (c) 2 (d) -282\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -129\/7, 1\/5, 25?\nAnswer: -129\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/8*(-4)\/2. Let n be (3 - 8)*(-4)\/q. Let m be (-58399998)\/(-8) + 1\/n. Round m to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92 + -645\/7. Suppose -4*t - k - 81 + 21 = 0, k + 18 = -t. Which is the second biggest value? (a) 2\/5 (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20115122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0 = -2. Let o(g) = g + g**c - g. Let d(v) be the first derivative of -v**3\/3 - 1. What is d(o(x))?\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/10)\/(1 + -5 + 19)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -53, -2\/5, -0.05, -4 in descending order.\nAnswer: -0.05, -2\/5, -3, -4, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.06 from -155427.\nAnswer: -155427.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1512536 - 714067.\nAnswer: -2226603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 12:13 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.08 (b) -4\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 15. Let j = 6 - o. Solve t = -j*t + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -749*f - 2627 - 4863 = 0 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*w**3 - 3*w**2 + 2*w**2 - 139*w**3.\nAnswer: -124*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuirjip. Give prob of sequence jrup.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1*(90\/375)\/(3\/(-10))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x\/(x*x\/(x*x**(-1\/4))*x*x)*x)*x)\/x**(8\/3))**(-47)*(x\/(x**(1\/4)*x*x)*x)**(-3)\/(x*x**2)**(-24) assuming x is positive.\nAnswer: x**(418\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/7 + 27373824*d\/7 + 93665780047872\/7.\nAnswer: 2*(d + 6843456)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i - 6*i + 2*i)*(252 + 582 - 142) - 3 - 2*i + 3 as x + h*i and give h.\nAnswer: -1386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3. Let t(u) = -2. Let f(v) = 5*h(v) + 8*t(v). Let j(i) = 4*i + 14. Let s(n) = 4*f(n) + j(n). Let o(a) = a + 3. Calculate -10*o(p) + 3*s(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - ((sqrt(117) - -5*1*sqrt(117) - sqrt(117)) + sqrt(117)) - ((sqrt(117) - (sqrt(117) + -1))*-5)**2) + (-1*sqrt(468)*4 + -5)**2.\nAnswer: 225*sqrt(13) + 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 - 1. Which is the third biggest value? (a) 0.5 (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 112 = -5*p, 0 = 3*p + 2*l - 30 - 24. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -78*b**3 + 1870*b**2 + 284*b - 920287899 wrt b?\nAnswer: -234*b**2 + 3740*b + 284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**3 - 4812*p**2 + 928425*p - 6264216 = 0.\nAnswer: 7, 216, 1381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-2 + -3 - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 761 = 4*s, -758 + 1806 = 4*h - 3*s. What is the remainder when 782 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35186 in 2, 0.2, 2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjnj when four letters picked without replacement from {j: 3, n: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13273843 and 3443.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 777\/2 - (-9)\/(-12)*4\/6. Calculate the greatest common factor of 40 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 297*f**2 + 2*f + 16449. Let n be w(0). What is the greatest common factor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4296318 divided by 247?\nAnswer: 17394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075207986 to the power of 1\/2, to the nearest integer?\nAnswer: 32790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by -13*(1 + (-5 - -3))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52840648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 709?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/9 and -67\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-11 - (8 - 13))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**2 + 3459*p + 85850 = 0.\nAnswer: -3434, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 5*j + 16, 5*w + j = -4*j - 20 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -318400, -636783, -955166, -1273549, -1591932?\n\"Answer: -318383*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2433, -2436, -2441, -2448, -2457?\n\"Answer: -v**2 - 2432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/11 and 2\/(-4) - (-143)\/(-18).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 4*h = -6, 43*p + 2*h - 33 = 38*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 + 26302*k - 2. What is l(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 7:12 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r + 4. Let y be g(4). Let m(c) = c + 9. Let v be m(y). Suppose v*d - 10 - 8 = q, -q = 3*d - 14. Are q and 2 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62121511*c**2 - 566731*c wrt c?\nAnswer: 124243022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**2*b**3*k**2 + 31*a**2*b + 473*a*b**3*k**3 + 2*a*b**2*k + 2*b*k**3 wrt b.\nAnswer: -12*a**2*k**2 + 2838*a*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + 3. Let p = 5 + -2. Solve -3*o + 12 = -0*x + p*x, -2*o = -i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a factor of 203360143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -10*k - 60. Calculate the least common multiple of 32 and c(-23).\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 276652 and 0.319?\nAnswer: 276651.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33535914\/17 or 1972702?\nAnswer: 33535914\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 132255 or 132163?\nAnswer: 132255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/5 - 9796*p - 391584\/5.\nAnswer: -4*(p + 8)*(p + 12237)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 59 + k**3 - 4803*k**2 - 4*k**3 + 4804*k**2 + 3*k**3 + k**3. Suppose 0*j + 3*j = 0. List the prime factors of d(j).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*x**3 + 1 + 1 + 0 + 24*x**2 - 9 - 176*x**6 + 29*x**3 wrt x.\nAnswer: -21120*x**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 4. Let b(s) = -4. Let k = 49 + -47. Calculate k*f(n) + 3*b(n).\nAnswer: 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*b + 3*b + 8, -2*z = -5*b + 48. Suppose 2*g - 52 = -b. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**4\/24 + 7*p**3\/6 - 29*p**2. Determine z(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 56 (b) 878.9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -717 - -782. Which is smaller: 3 or t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 3, 4, 5, 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 166*u - 167*u + 2 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/467 at least as big as 4564.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1918 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4168?\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3*p + 15 = 0, 2*q - 4*p + p = 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - (-12 - (-29 + 39))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2 + 321434*j + 67267068 = 0.\nAnswer: -209, 160926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3*2842814\nAnswer: -8528442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2. Let c = -13 + 14. Suppose -4*v + 23 = -5*i, 3*i - 2 + c = -5*v. Let r(h) = 28 - 28 - 3*h**v. Calculate g(r(d)).\nAnswer: -18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 5 + -6 + (-2)\/22\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**2\/2 + n + 2. Let j = -27 - -27. Let q be o(j). Are 1 and q unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 805327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 214.9957 - 215. What is q rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3 - 11751*b**2 + 2281893*b - 113690145 = 0. Calculate b.\nAnswer: 101, 3715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000000000111 (base 2) to base 16.\nAnswer: -2007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c - -c55c0?\nAnswer: c5583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4*(-1)\/(-1))\/((-126)\/(-33453)) is divided by 55.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/599 and -35\/1229747.\nAnswer: 1229747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 200 - -112. Calculate the smallest common multiple of 56\/5 - (-3)\/(-15) - -1 and r.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 707.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104.52 millilitres to litres.\nAnswer: 0.10452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/4 - (2107\/(-196))\/43?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55418137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffmf when four letters picked without replacement from {f: 3, z: 5, m: 1}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17 + -8.4.\nAnswer: -8.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 2*f + 5*f + 22, 5*f - 10 = 5*k. Let m be k\/6*(-387)\/(-43). Let o(t) be the third derivative of t**4\/24 + 2*t**3\/3 + 6*t**2. Give o(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.78415 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 55 (b) 0.5 (c) -1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 15 - -19 - ((5 - (1 - (6 - 7))) + 1)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 a when three letters picked without replacement from {a: 7, o: 1, j: 1, k: 3}?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 14*i + 15*i - 49 = 0, 3*c - 4*i - 70 = 0. Solve 0 = -11*o - 5*m + 54, -c + 4 = -5*o + 5*m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*z = -9, -4*u = -u + z - 60. Let x(m) = -4 + 5 - 1 - u*m**2. Let s(h) be the third derivative of h**4\/24 - h**2. What is x(s(f))?\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, -104, -42, 46, 160?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.8 - -3.8. Which is the smallest value? (a) 2\/13 (b) 0 (c) -1\/3 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z + 15. Let j be n(6). Let h be j\/((-9)\/(-6)) - -4. Suppose -2*f + 2 = -0. What is the greatest common divisor of h and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (608\/(-1064))\/((6\/14)\/((-6)\/44)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*g - 125 wrt g?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, a: 6, i: 4}. Give prob of sequence ia.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3534.30412 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1330\/(-63))\/19*3\/2*15\/2.\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -s - 4*s. What is the tens digit of s - (-1 - -3) - -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**5 - 22*j + 22*j + j**5 - j**5 + 2*j**5 + (209*j + 217*j - 438*j)*(-j**4 + 2*j**4 + 0*j**4).\nAnswer: -12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/3)\/(4\/6). Suppose r*q - 48 = -q. Let o = -670 + 673. Calculate the highest common factor of o and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -1279, 0, 44 in descending order.\nAnswer: 44, 32, 0, -1279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 968\/233?\nAnswer: 968\/233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65 and 9.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(4\/5)\/b)**(-2\/23)\/(b*b**(-2\/23))**(-1\/3) assuming b is positive.\nAnswer: b**(37\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(15\/5))\/(2\/14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/44*768\/(-160)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 1 + 19. What is w in -2 + 7*w + 0*w**2 + 5*w + b + 18*w**2 = 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.8 and 20\/20027 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 37.\nAnswer: -18.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*j. Let y be (-2)\/12*-2 - j. Let m = 450\/7 - 64. Sort y, m, 3\/4 in increasing order.\nAnswer: m, y, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/((-216)\/66))\/((-7)\/(-42)*-2).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h + 30*h - 7 = s, 3*s = 3*h - 12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -5, 3 in decreasing order.\nAnswer: 3, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/8376 and -77\/312.\nAnswer: 108888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8328375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 times 760902?\nAnswer: -98156358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17.2256, 0.4, 0.2, 42?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122933713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202475 is divided by 572?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 174559749 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: 2.7 times -0.3\nAnswer: -0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*o - 51. Suppose 25*q - 113*q = -528. Calculate the remainder when o is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 455*w**2\/6 + 9785*w + 30080\/3.\nAnswer: 5*(w + 128)*(91*w + 94)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -2\/2793, 3, -0.5, -3 in decreasing order.\nAnswer: 3, -2\/2793, -0.5, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-6))\/y*y**(-7))**(-1\/15))**(-34) assuming y is positive.\nAnswer: y**(-34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-16337)\/804202*-218)\/(-1*1\/7)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313 - 310 - 8*n + 623 + 21*n.\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2663566 to the power of 1\/2, to the nearest integer?\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 356 + -342. Let k = 330.1 - 344. Let u = k + g. Which is the closest to u? (a) -2 (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 250\/(-15250)*4\/2?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 35 = 4*o - 0. Solve 0 = -v + 4, o*a + 5*v = 6*a + 24 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 m, and 1 f when three letters picked without replacement from fqqmdbb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1047*u**3 + 2*u**2 + 35*u - 38. Give l(1).\nAnswer: 1046","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-182))\/((-3225)\/30100)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7932546 by 9.\nAnswer: 881394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -15*g - 10. Let o(z) = -7*z - 5. Let c(p) = 6*j(p) - 13*o(p). Let w be c(-7). Let h be -2*((-5)\/2)\/(-5). Is h < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*a - b - 122 = -351*a, a + 8 = 5*b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11453 + (55\/11 - 2). What is the highest common factor of 179 and o?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009044643267 to seven decimal places.\nAnswer: -0.0009045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 1056 = 3*z, 4*w - 2668 + 572 = -2*z. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**7\/42 + f**6\/60 + f**5\/60 - 7*f**3\/6 + f**2 - 2. Find the third derivative of b(c) wrt c.\nAnswer: -120*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0237737 to 3 decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-30)\/8)\/(-5))\/((-52)\/(-66144))?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 5:14 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 4*t, -3*t - 12 = -5*k + 4. Let q(y) = -y + 1. Let s be q(-1). Let h(v) = -6*v**s + 2*v**2 + 3*v**k. Let j(i) = 6*i**2. What is h(j(u))?\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 29 = -1. Suppose 3*c + 0*c - i = 0, 0 = -x + 2*c + 6. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(112)*3 + 1 + 4*(sqrt(112) + sqrt(112) + 3*sqrt(112) - sqrt(112))*-2)**2.\nAnswer: -136*sqrt(7) + 32369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -15*t**2 + 882*t + 303. Let x(p) = p**2 - 34*p - 2. Let b(j) = d(j) + 18*x(j). Factor b(l).\nAnswer: 3*(l + 1)*(l + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 446 + -416 - (-23 - ((-4 - -4) + -5)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1856228 and -13\/63111752.\nAnswer: 63111752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -14618484 divided by -36?\nAnswer: 406069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**3 + 2*l**2 - 1. Let i(r) = 1727*r**3 + 2198*r**2 - 1099. Determine i(s) - 1099*o(s).\nAnswer: 5024*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -34.2. Let p = d - -3.1999979. Round p to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -171 - -172. Let d(r) = r**3 - r**2 + 2*r - 3. Let f be d(0). What is the nearest to 0 in b, f, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -622\/3 - -206. What is the nearest to -0.2 in -2\/17, 0.4, g?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/3773*11)\/((-2)\/(-14))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/8)\/(2\/(-40)). Let l = u - 25. Suppose 31 = h + l. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*b + 18 = 3*u, -u - 4 = 3*b. Suppose 4*y - 3*y - 10 = 0. Let a(w) = 14*w + u - 8*w - y*w. Let c(q) = -q + 1. Calculate 3*a(g) - 15*c(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-818)\/22086)\/(4\/(-120)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ts when two letters picked without replacement from {s: 2, t: 4, r: 1, a: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 3:11 PM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11169 (base 10) in base 14?\nAnswer: 40db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 5*v - 7, 0 = 10*v - 15*v - 9 + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 35 - 67. Let h = q - -157. Calculate the remainder when h is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(91) - (4*sqrt(91)*2 - sqrt(91)))\/(sqrt(35)\/(sqrt(25)\/sqrt(5))))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 105*z - 5275. Determine j(50).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 0*f**2 - 2 - 1\/147*f**7 + 0*f**3 + 16*f + 4\/35*f**5 + 0*f**4 - 2\/105*f**6. Suppose i(d) = 0. What is d?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(3*i + 0*i - i) - 2 + 2*i + 2 + 4*i - 4*i - 2*i + (2*i - i + 2*i)*(-1 - 1 + 0).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-91))\/((-10)\/(-560)) - -6\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36932 = -84*u + 240856. What are the prime factors of u?\nAnswer: 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-20 + 8 + 5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**5 - 3*p**4 + 18*p**3 + 2*p**2 + 290*p wrt p.\nAnswer: 120*p**2 - 72*p + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 2*b + 7. Let n be z(-4). Let t be ((-1 - n) + -8)*274005\/18. Let l = -3220 + t. Round l to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*l - 40*l + 9345 - 2637 = 0. What is the highest common divisor of l and 2223?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92 - -36. Let m = k + 80. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 3. Let o be t(5). Let l(i) = 9*i + 1. Let r(c) = -4*c. Let z(j) = o*l(j) + 5*r(j). Suppose -4*q + 25 = 2*w + 1, -2*w = -q + 1. Give z(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -77659819*b**2 + b + 194072749 wrt b?\nAnswer: -155319638*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**2 + 264*w = 0.\nAnswer: -66, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 + 3 + 99 - -2 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 988862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/26774 and -139\/14604.\nAnswer: 160644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pebuyymppumueuymp. What is prob of picking 2 m and 1 u?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + p = -3*c + 48, -5*p - 82 = 4*c. Let f = -4056\/7 - -580. Put f, -4, c in descending order.\nAnswer: f, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 14, v: 4}. Give prob of picking 2 j.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 14*c - 5*c**2 - 7*c + 4 - c**3 + 3*c. Let f be a(-7). Let o = -22 + f. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.189 + -1.189. Let c be 48\/(-170) + (-8)\/(-20). Put z, c, 8 in descending order.\nAnswer: 8, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*d + 500, 2*d - 4*z - 169 - 57 = 0. Suppose s - 3*b = -17 + d, -b - 242 = -3*s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15427 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42004.\nAnswer: 2, 10501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*g - 31*g + 15*g - g + 0*g + 0*g + (-3*g - g + 6*g)*(2 - 1 - 3).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*c = 114, 3*c = a + 4*c - 28. Suppose -u = 3*r - 26, a = -u + 2*u + 4*r. What is the highest common factor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-4 - -11 - (2 + 7)) + 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**3 + 4*k**2 + 9*k - 36 = 0.\nAnswer: -3, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 9*r. Suppose 5*i - 326 = -3*o, 0 = -r*i + 3*i - 5*o - 182. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 87 = d. Suppose 4 = -2*j - 6, -i + 5*j = -d. Solve 0*k**4 - 14*k - 1 - 18*k**2 - 2*k**i - 10*k**3 - 3 = 0 for k.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -7 - 5 - 4 + 15 + 5*y - 2. Let l(c) = -9*c + 15. Let o(h) = h - 2. Let s(i) = 4*l(i) + 27*o(i). What is -6*s(z) - 11*x(z)?\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 549328.3nm in micrometers?\nAnswer: 549.3283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/((-6)\/4)*5\/10. Let i be -1 - (-1 + v) - (16 + -7). Let j be (-27 - -1)*4\/i. Solve 5*p = 3 - j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 34*f - 220. Let h be d(40). What is the highest common factor of h and 3020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 44 - 26 + 5 = 26*m, -2*o + 2*m + 62 = -6*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.738337l?\nAnswer: 8738.337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + -4 - -19) + 1 + -5 + (5 - 13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (155\/3)\/((-12 + 1)\/(-561)).\nAnswer: 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 655 = 323. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -145 - -126.5. Let a = -15.1 - m. Round a to 1 decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-23307)\/102 + 2\/(-1))*-80. Suppose -c + 460495 = 5*n, 110515 - o = n + 5*c. What is n rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 + 0.1. Let y = p + 0.02. Which is the second biggest value? (a) y (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 3*g + 3*g)*(2*g - g + g) + (-g + 2*g + 4*g)*(11*g + 0*g - 5*g + 2*g**2).\nAnswer: 12*g**3 + 30*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -242*z**2. Let s(y) = -10*y - 10. Let v(n) = 13*n + 12. Let c(g) = 6*s(g) + 5*v(g). What is q(c(f))?\nAnswer: -6050*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (15 - (35 - 12) - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**2 - 9*c + 4. Let w(s) = 2*s**2 + 5*s - 3. Let u(l) = 4*i(l) + 5*w(l). Determine u(-8).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from rgrrrrrrrrrrrrggrr?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 4*l + 163 = 187, 2*a - l + 9 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 46 = -5*t + 4*r, 4*t - 54 = -2*r. Let z = 17 - t. Suppose x**5 - 3*x**2 + 2*x**2 - 4*x**4 + z*x**3 + 0*x**2 + x**4 = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 125 - 53. Let q = -15 - w. What are the prime factors of q?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*s + 4*s = -27, 3*c = 4*s + 23. Suppose 2*a + 2*a + 10 = 3*w, -7 = -w + c*a. Solve f - w*f = 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d. Let i be 8\/6*18\/6. Let n(z) = 5*z - 25*z + 7 - 2*z. Let w(u) = -7*u + 2. Let l(r) = 2*n(r) - 7*w(r). Calculate i*m(g) + 2*l(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -596.77 rounded to the nearest ten?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 11*z + 43 - z + 7*z + 7*z.\nAnswer: z + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnlmcmnlnmhctnh. What is prob of picking 2 n and 1 t?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -117 - -141. Suppose -n + 1 = -5. What is the greatest common divisor of n and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 2*h + 71. Let n be l(0). Suppose -w + 35 = -4*s, 3*s - n = -3*w - 2*s. List the prime factors of 1182\/w + (-12)\/(-54).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 417 = -523. Let k = s + 345. Suppose 2*b = k + 131. Is b a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 864006 is divided by 95995?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**4\/12 - 29*q**3\/6 - q**2. Let x be n(-12). List the prime factors of (-36)\/45 - 254\/x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 2)*2\/(-3). Let j = -0.22 - 2.78. Let x = -0.13 + 0.03. Which is the closest to x? (a) v (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 25842699.\nAnswer: 206741592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2134229, -4268461, -6402695, -8536931?\nAnswer: -10671169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.48367979 to two dps.\nAnswer: 11.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/23*13225\/(-69575)?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0)**(-9))**11\/((f**(1\/3))**44*(f*f**(-2\/5))\/(f\/(f\/(f*f**(-1\/4))))) assuming f is positive.\nAnswer: f**(-871\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -62 divided by -37\nAnswer: 62\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*j + 54*j = -12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*m + 31 = 0, -3*m + 23 + 12 = 5*w. Suppose -17 = -c - z - 3*z, -4*c = -z - 17. Calculate the least common multiple of c and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 60*k = -59*k + 17, 10*k + 68 = -i. Suppose l**5 - 7\/3*l + 8\/3*l**4 - 2\/3 - 2*l**i + 4\/3*l**3 = 0. What is l?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02026 + -0.07974. Let x = -2.2 - 0.8. Put j, -2\/11, 0.1, x in descending order.\nAnswer: 0.1, j, -2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1508 divided by 2\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 17 = 5*n, -161*n + 4*j = -156*n + 11. Let o(c) = -c**2 - c - 8. Give o(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35742 and 2553.\nAnswer: 35742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*j - 24, -4*j + h = j - 14. Let w = -389 - -389. Let d(r) = -3*r - 2596 + 2601 + w*r + 4*r. Let p(y) = 2*y + 11. Give j*p(x) - 5*d(x).\nAnswer: -x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 237989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 130\/13)*2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l - 3. Suppose -5*a + 3*i + 62 = 0, -3*i = 2*a - i - 28. Suppose n + 2*w - 23 = 4*n, -5*n = 3*w + a. What is c(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 4*c**2 - 6*c - 6. Let w be 25 + ((-2)\/(-2) - 0). Suppose -w + 8 = -3*l. Let x be p(l). Calculate the highest common factor of x and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1383*q - 5241. Give m(-4).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.188108 rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.3, -2, 25 in descending order.\nAnswer: 25, 0.1, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 5) + -4 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1599631 or 5?\nAnswer: 0.1599631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2183 - 1315876*r**2 + 2183 + 1315871*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 589, 1345, 2415, 3805?\nAnswer: 5521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5786\/14 - 6\/21. Let t = w + -327. Does 43 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + x = -15. Suppose 6 = 2*y - 3*o, -4*o = 4*y - 3*o - 40. What is the remainder when y is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k - 218 + 182 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 86*g**2 - 90*g - 658. What is the tens digit of z(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*4\/(-8))\/((-1)\/36)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -404\/5, 2\/11, 0.56, 3\/2 in decreasing order.\nAnswer: 3\/2, 0.56, 2\/11, -404\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*j**3 - 505*j**2*m**3 - j**2*m - 2*j**2*z - 16*j*m**3*z + j*m**2*z + 517*m**3*z wrt j?\nAnswer: -48*j - 1010*m**3 - 2*m - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2612\/11 (b) -56\/5 (c) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(1377) + sqrt(1377)*3 + 0)**2 - ((-2*sqrt(68) - sqrt(68))\/sqrt(4) - (sqrt(1700) + 2))*5.\nAnswer: 65*sqrt(17) + 49582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 71*m - 7089. Determine k(100).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 0.27851446639.\nAnswer: 0.67851446639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(176) - (1 + (1*sqrt(176))**2)).\nAnswer: -12*sqrt(11) + 531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -4*p**2 - 82*p + 85. Let b be v(-11). Solve -6 = -3*s + b*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.0219879 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/7 and -3 + 6 + 513\/(-102).\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + d**2 + d + 1. Let v be m(0). Let u be 12\/10*v*15. Suppose q = y + 23, -6*q - y = -q - 139. What is the highest common divisor of u and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 0.1 (c) -3\/5 (d) 652 (e) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25232 = 4*t - 25276 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - -1*sqrt(77))*-6 - sqrt(77))*-3)\/(1*(sqrt(210)\/sqrt(6))\/sqrt(5)).\nAnswer: 39*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/6)\/((-4)\/42). Suppose 525*f - 8*y = 523*f - 84, -5*y + 78 = 3*f. Solve -f*s = 2*s - x*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -27. Suppose 3*a = q - 38, d*a = 11*q - 13*q + 44. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(112) + -4 + sqrt(112) + (-1 + sqrt(112) + 2)**2 + sqrt(112).\nAnswer: 20*sqrt(7) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4580939 and 20174?\nAnswer: 1441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2097*c**3*m**2 - 1791*c**2*m**3 - 14112*m**3 - 39*m**2 - 2 wrt c?\nAnswer: 6291*c**2*m**2 - 3582*c*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59\/14 + 9\/56. Let n = 17\/4 - f. Which is the third biggest value? (a) n (b) 1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -0.1. Let t = x - 0.2. Suppose 2*j - d = -4, -2*j + 7*j = 3*d - 11. Which is the nearest to 2? (a) -0.3 (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*k = -0*h + 8, -5*h = 4*k - 4. Solve a = 2*q - 5, -4*q - h*a = -8*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 394347776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 980312.\nAnswer: 2, 283, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a - 16*a**2 + 18*a**2 + 321888*a**3 - 197*a - 321892*a**3 + 224 + 50*a**2.\nAnswer: -4*(a - 7)*(a - 4)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1213, 2 in decreasing order.\nAnswer: 2, -2, -1213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -50027364 divided by 4?\nAnswer: -12506841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 710599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/5)\/(42\/(-105)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 35*s - 36*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t + 19. Let b be n(4). Let x(v) = -2*v**3 - 3*v**3 - v + 4*v**3. Calculate x(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggvggggvgppgvggggpgv. What is prob of picking 2 g?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 24 - 5*v + 129 + 646*v**2 + 5*v. Let w(g) = -17*g**2 - 4. Let d(q) = -4*s(q) - 153*w(q). Let j(p) = 2*p**2. Calculate j(d(l)).\nAnswer: 578*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 0.1 (c) -13\/8 (d) 1.096 (e) -2 (f) 2 (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69298.\nAnswer: 2, 34649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1617 and 7791.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6373 = v + 1947, 8 = -2*v. Calculate the greatest common divisor of 44 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196109020 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 18.6 (b) 417 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqbvdns. Give prob of picking 1 s, 1 b, and 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 18 + 2, -5*f + 86 = u. Let s(v) = -v**3 + 17*v**2 + 21*v - 48. Let r be s(f). Suppose 1098 = -r*o + 12*o. Is o a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqcccqrrrrrcrrrrqq. Give prob of sequence crc.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-4 + -1) - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -62*v - 9. Let r(j) = j**2 - 7*j + 5. Let a be r(5). Is w(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*u**2 + 159*u**4 + 15*u - 158*u**4 - 7*u - 6*u**3 to the form h*u**2 + p + l*u**3 + q*u + s*u**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 183\/36 + -2. Let g(m) be the second derivative of -1\/20*m**5 - f*m**4 + 0 + m + 0*m**2 + 0*m**3. Find the third derivative of g(s) wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2. Let u(h) be the first derivative of 29*h**2 - 2*h - 105. Determine a(u(k)).\nAnswer: 10092*k**2 - 696*k + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 330 and 5390?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -325*j**2 - j*l**3 + 27*l**3 - 23*l**2 wrt j.\nAnswer: -650*j - l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 322?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*w = 4*w - 79, a - 85 = w. Let q(o) = o**2 + 75*o + 1313. Calculate the remainder when a is divided by q(-48).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -3 - (17 - 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11954285891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(56*q + 63*q - 4 - 128*q).\nAnswer: -18*q - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4223\/6 - -703. What is the closest to 1 in s, -6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/1 - (29 + 247\/(-13)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 29*g - 104. Calculate the remainder when 414 is divided by x(24).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 7*x**2 + 6*x + 4. Let h be j(-6). Let q be (4 - (7 - 0)) + h. Is q at most -2\/105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3904000 rounded to the nearest ten thousand?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 61 - 8*f**2 + 0*f**2 - 61 - 13*f as v*f + z*f**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -3, -5.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5783140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122 or 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h - 141. Give k(-36).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 10*f + 41 - 4*f.\nAnswer: 6*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxdd when four letters picked without replacement from dxxddxd.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2197*v**2. Let b(c) = -24*c. What is b(g(h))?\nAnswer: -52728*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 173251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 913 a factor of 197219869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = -3*h. Let j = 1 + 1. Let x(a) = -a**j + h*a**2 - 4*a**2 + 3*a + 1. Calculate x(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -7*k + 2*b - 1765, -5*b - 10 = 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*t + 465186 = -53*t. What is the thousands digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 6:20 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjbjjbjjbjjbjbbjj. What is prob of picking 4 j?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -631037, -1261941, -1892845, -2523749, -3154653?\n\"Answer: -630904*u - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 24297546 and 3?\nAnswer: 24297543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123 + 125. Suppose -2*o - 18 = -b + s*o, 4*b + 5*o + 12 = 0. Find the second derivative of b*p - 2047*p**2 + 24*p**5 - p + 2047*p**2 wrt p.\nAnswer: 480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.20205 + -5.20205. What is the third biggest value in 3, z, 3\/49?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cd - -2739?\nAnswer: 2806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3*-680\nAnswer: -2040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36.264 - -13.461. What is f rounded to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**3 - 105*j + 25*j**3 + 59*j + 46*j.\nAnswer: 17*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 1. Let j be (-18 + 0)*3\/18*-2. Calculate the least common multiple of o and 8\/(-12) + 52\/j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*h - 296 = -4*r, 7*r - 2*h + 44 = 11*r - 47 - 113 for r.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/25 (b) 0.156 (c) -5 (d) -0.2 (e) 180\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-10)\/50*-3*(-3)\/((-93)\/(-496))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -135918 divided by 3\nAnswer: -45306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/717442474 and -103\/22.\nAnswer: 7891867214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/3 + 5272024*l\/3 + 6948559264144\/3.\nAnswer: (l + 2636012)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 6 + 6. Let r(f) = -3 - 4*f - x*f + 5*f + 0*f. Let p be r(-4). Solve 5*b + 5*q - 15 = 0, -19 = -p*b - 5*q + 4*q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, m: 1, a: 4, d: 3, o: 1, n: 1}. Give prob of sequence mdd.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.234 - 0.066. Let o = -0.7 - x. Which is the nearest to 2? (a) o (b) 3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**3 + 73 - 2*w + 3*w - w**3 - 3*w to l + n*w**3 + q*w**2 + i*w and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fihtt. Give prob of picking 1 t and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -311, -1086, -2349, -4100, -6339, -9066?\nAnswer: -12281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, x: 1, s: 6, v: 8}. Give prob of sequence xv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c + 40 = -3*x, 0 = -2*c - 3*x + 40. What is the least common multiple of 28 and c?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.563474276 to 4 dps.\nAnswer: -1.5635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, 6, 35, 96, 201, 362, 591?\n\"Answer: 2*r**3 - 2*r**2 + r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2679 = -4*h, 30*h - 641 = 29*h - 5*o. Suppose 194 = 43*v - h. What is the remainder when 88 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z + 16*z + 6*z + 16*z - 54*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6\/113, -116, 1, -1, 2\/7, 23.\nAnswer: -116, -1, 0, 6\/113, 2\/7, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 10}. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4, 25, 62, 115, 184, 269, 370?\n\"Answer: 8*i**2 - 3*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**3\/3 + 20*l**2 - 46*l + 2. Let r be c(20). Solve r = -7*a + 2*a - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 578 and 12?\nAnswer: 3468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 4)*(-2*t + 0*t + 3*t) + (4 - 5 - 7)*(-6 + 6 - 5*t))*(1 - 2 + 2 + 3 - 2 + 1 - 5 + 3 + 1 + (-4 + 5 - 3)*(-5 + 1 + 3) + 0 + 1 + 0).\nAnswer: 195*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q - 94 - 98 = -49*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1358*l**2 + 1010*l**2 + 21 - 2695*l**2 in the form y*l**2 + k + r*l and give y.\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*o - n, -6*n = -2*n - 20. Suppose w = -o*w - 8. Does w = 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05596 >= 1\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-131 + 129 - 3*v**2 - 3*v + v**2)*(-v - v + 3*v) to the form p*v**2 + k + l*v + x*v**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40844?\nAnswer: 2, 10211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -10*p**2 + 95*p - 86. Determine i(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -10*w**2 + 4*w**2 + 0*w**2 + 3 + 2*w**2 - 12*w + 9*w. Let g(q) = 3*q**2 + 4*q - 4. Determine -3*g(d) - 4*o(d).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**2. Let a(t) = -8*t**2 - 5*t - 5. Let s(k) = 7*k**2 + 4*k + 4. Let m(w) = 4*a(w) + 5*s(w). Determine 3*l(j) - 2*m(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*-32\nAnswer: 3.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**3\/2 + 17*m**2\/2 - 19*m = 0.\nAnswer: -19, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122 and 32818.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1721473 by 7.\nAnswer: 1721473\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 209 + -111. Let z = m - 87. Which is the closest to z? (a) -2\/3 (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 - 4*o**2 + 7*o + 10. Let b(n) = n**3 + 3*n**2 - 5*n - 7. Suppose 0*k - 2*a = 4*k - 30, -2*k = 4*a - 18. Calculate k*b(d) + 5*u(d).\nAnswer: -3*d**3 + d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39465769?\nAnswer: 7, 23, 245129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 378*((-4 - -6) + -3). Let d = 202 - n. List the prime factors of d.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2228*i + 8550. What is u(4)?\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -7009955?\nAnswer: -7009955.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3 - (-295)\/3. Let y(c) = 7*c + 50. Let b be y(-6). Suppose b*x = 6*x + f. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/2 + 7155349*j\/2 + 3577674.\nAnswer: (j + 1)*(j + 7155348)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 10:33 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - c = -7, a = -3*c + 5 - 0. Let u(v) = -3*v**2 + a*v + 3 - 5*v**2 + 5*v**2 - v**3. Let t be u(-3). Sort 4, 1, t in descending order.\nAnswer: 4, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 + 3*q**2 - 2 + 4 - 8*q**4 + 7*q**4 as j + p*q + x*q**3 + a*q**2 + o*q**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 26576 = 23271. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -10478678\nAnswer: 31436034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-25)\/4 - (-5)\/20. Let x(k) = k + 8. Let s be x(b). Differentiate -6*c + 1 - 3 + 10 - s with respect to c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 4 (c) 0.4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/5 - 1780622*c - 3963268383605.\nAnswer: -(c + 4451555)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2*i, 4*u + 0*i - 18 = i. Let k be ((-1)\/u)\/((-585)\/108 + 5). Factor -6\/5 + 9\/5*j - 9\/5*j**3 + 3\/5*j**4 + k*j**2.\nAnswer: 3*(j - 2)*(j - 1)**2*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + 6*sqrt(110)*-1 - sqrt(110)) + (sqrt(110) - 4*sqrt(110)*1))\/(sqrt(30)\/sqrt(3)*-6*5).\nAnswer: 3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442172 is divided by 784?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2) + 30\/12. What is the units digit of (d + (-2 - 1))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from ukukufuugk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 5562\/287?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 w when three letters picked without replacement from hwwhhww?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3 + (sqrt(18) - sqrt(2)) + sqrt(2) + sqrt(2))**2*-2.\nAnswer: -82 - 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/16)\/((-295)\/472)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*q = q + 2, 0 = -4*o + 4*q. Let v(u) = -2*u + 6. Let s be v(-2). Let n = s + -7. Solve -5*b = -o*b + n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from clddlvllladdddcll?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x + x**2 + 9*x + 3*x**2 - 6*x**2 - 193*x**3 to the form n + p*x + u*x**3 + i*x**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4515395.\nAnswer: 5, 903079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 9695 = -6*n + 5*q, 2*n - 3857 = -5*q. What is the common denominator of 49\/38 and (n\/320 - (-1 - -1)) + 0?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (30\/45)\/(4\/(-6)). Let b be 15043\/(14\/(-2)) - z\/(-1). Round b to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53 in -2\/21, -9, 29, 0.5?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytcutuyuust. What is prob of picking 1 y and 1 s?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/4000 and 89\/2150.\nAnswer: 172000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1003*n + 3957*n + 317718 - 6569 = -4635*n for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/16 + 22\/8. Suppose d*k + 4 = 5*k. Put 4, -3, k in descending order.\nAnswer: 4, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 30. Suppose -t*q = q - 25. Solve q*p - 29 = 2*a, 3*p - 4*p = 3*a + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + d + 10 = 0. Suppose 0 = -6*y + d*y. Let r(w) = -19 + 10 + 12 - w + 5. Calculate r(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3162, -6325, -9490, -12657, -15826?\nAnswer: -18997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191, 342, 493?\nAnswer: 644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/3 and (1*(-3)\/144)\/(6\/920)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2bc10c (base 15) in base 6?\nAnswer: 113205550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -321 - -323. Sort f, -2\/7, 4, 1\/12 in ascending order.\nAnswer: -2\/7, 1\/12, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -34\/3*s**3 - 20 - 36\/5*s**5 + 0*s + 0*s**4 + 0*s**2. What is the third derivative of a(d) wrt d?\nAnswer: -864*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 165.12 + -165.52. What is the third smallest value in 14, 5, u, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -3*u + 14, -5*v = 2*u - 0*v - 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 7:14 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 340*i - 85. Let w(y) = 20*y - 5. Let g(x) = 2*s(x) - 35*w(x). Let b(u) = -5*u + 1. Let a(t) = 9*b(t) - 2*g(t). Calculate a(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*s**3 + 0*s - 115*s + s**2 - 6*s**2 + s**2 + 4.\nAnswer: -232*s**3 - 4*s**2 - 115*s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j - 2 + 2 + (-5 - 9 - 23 - 2 + 2 + 3 + (2 + 1 - 4)*(-5 + 0 + 3))*(-2*j - j + 4*j).\nAnswer: -33*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 - 66*p**2 + 25*p**2.\nAnswer: -45*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -14.7+30\nAnswer: 15.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9253406188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.47, 8, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 246 - 237. Calculate the remainder when 359 is divided by 3\/h*9\/(-3)*-72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 29*d - 645. Does 45 divide x(32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brrrrriiibrbbkrirrrb. What is prob of picking 1 i and 1 k?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1053 and 4243995.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x = -d - 1, -2*x + 5*d = 1. Suppose 4*b = 2*o + 24, x*o - 3*b = 2*b - 23. Let m be o\/6 + (-4)\/(-2). Which is bigger: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*l - 11. Let m = l - 5. Let w = 4 + m. Solve -3*y - 9 = w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*l + 181*l = 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l - 2*l + 5*l)*(0*l + l - 2*l) + 24*l**2 + 1991*l - 1991*l + l**2 + l**2 - l**2 + (2*l - 4*l + 3*l)*(2 - 2*l - 2).\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + 0 + sqrt(475) - sqrt(475))**2 - sqrt(475))*4.\nAnswer: -20*sqrt(19) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11020 + -27?\nAnswer: -11047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(0*i**2 + 0*i**2 + i**2) + 161*i + 2418 - 2416 - 18*i**2 - 163*i.\nAnswer: -19*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870678020.\nAnswer: 2, 5, 29, 1501169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -276.82 or 1121?\nAnswer: -276.82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 369904 and 22448.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7630 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -3112002?\nAnswer: 3111331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 + -2 + 5 + (-2 - -29) + (-332 - -295)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*(-3 + (sqrt(80)\/(sqrt(2) + 1*sqrt(2)))\/(sqrt(8) + sqrt(72)*1)))**2*-1.\nAnswer: -261\/64 - sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 36 = 5*t - 2*t, -5*q + 2*t = -38. Let i = q - 4. Suppose 6*w - 32 = i*w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 79*x + 1893. Is b(-7) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22344)\/(-1386) - 6\/9. Is 14 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (38 - (6 - 15)) - 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 354 - 36 = 2*s, 4*s + 300 = 4*f. Which is smaller: f or 80?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(4 + (-27)\/6). Solve l + c = -1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*n + 22*n - 5*b + 6 = -22, -52 + 92 = 5*n + 5*b for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(396) - (sqrt(891) + -2 + sqrt(891))) + (-5 + sqrt(704)*-2 - (-2 + sqrt(704)*-1))**2.\nAnswer: 36*sqrt(11) + 711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40546 and 34694.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 115 * 26205\nAnswer: 3013575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r - 11 - 217. Let i = -20 - r. Let q be (-69)\/(-18) - (-3)\/i. Solve g = 2*u + 3 - 2, 2*g + q*u = -6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (0 + 4 - (-14)\/70)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -15. Calculate the lowest common multiple of c and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -70a2?\nAnswer: 70a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-15)*(-55)\/(-22)*14\/2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*d = 76*d - 616 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -68*v**2 - 16*v - 42. What is d(-3)?\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25195\/4 >= 6300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c - 20*c = 3*y, 0 = c - 2*y - 25. Let v(z) = -z**3 + 12*z**2 + 48*z - 40. Let a be v(c). Solve 11*t = 17 + a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 136*(-1)\/(1\/(-12)). Let d be m\/10 + -1 + (-1)\/5. Suppose 2*p + d = 3*c, -c + 5*p + 39 = -2. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -40116 = -40116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from llllllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 - 5*z**2 - 4*z + 6. Let w be m(4). Let r = w - 14. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -11*y - 10*y. Let x be ((-10)\/2 + 9 - y)*4. Let g(w) be the first derivative of w**4\/4 + 7*w**3\/3 - 3*w**2 + 9*w + 2. Give g(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1559519*d*g*q**2 + 101*d*g - 35*d*q**2 + d*q + 12209*d + q**2 - 5 wrt g.\nAnswer: 1559519*d*q**2 + 101*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10194329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 43664?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07 + 5.07. Let f = 1177.6 + -1178. What is the second smallest value in -0.1, o, 2, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 10:10 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2. Let b(u) = -3*u**2 - 10*u - 5. Let t(h) = -b(h) + 4*i(h). Let y be t(10). Calculate the greatest common factor of y and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10588351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -276*c**4*f**3 + 3*c**2*f**3 + 5*f**3 - 1858*f**2 wrt c.\nAnswer: -1104*c**3*f**3 + 6*c*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 5*b - 4*w - 10, 0 = b + w + 3. Let t be -1 - -8 - (-2)\/b. Suppose t*u + 3*m - 11 = 0, 0 = 4*m - 5*m - 3. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 694133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -545 - -647. Solve -6*l - 48 = -v for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/25 of a day?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*o**3\/5 - 137426646*o**2\/5 + 786920057570394*o\/5 + 786920194997046\/5.\nAnswer: 6*(o - 11452221)**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 516.661 to the nearest ten.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70 - -36) + (-54 - -12) + 0 + 0 + -1.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -9601 + 4829 + 4780 - 2*b. Let w(r) = -r. Let q(a) = 2*a. Let y(l) = -3*q(l) - 5*w(l). Give i(y(f)).\nAnswer: 2*f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from illililillllllillll. Give prob of picking 3 l.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4702 - -4724. Solve 3*f - 12 = y, 16*y - b = 12*y - 2*f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/53? (a) 4 (b) 3\/2 (c) -4\/11 (d) 0.23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 7, -1\/41, 0.4?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/23 - 64\/207. Let k = 0.1753 + -0.0453. Put -0.4, 4, h, k in descending order.\nAnswer: 4, k, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.73 + -0.27. Let x = 18.7 + t. Let j(m) = m + 3. Let l be j(0). Which is the nearest to -2? (a) l (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**6\/15 + 3*r**2 + 6*r. Find the first derivative of n(k) wrt k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 427 + -424. Solve 3*q = 2 - 5, 4*k - h*q = 11 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 17. Suppose -30 = -5*c - 5*d, -2*c + 12 = -h*d + 7*d. Let a(z) = -z + 30. Calculate the remainder when a(c) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 18*m**2 + 47*m - 510. What is a(-14)?\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94591, -94915, -95463, -96241, -97255, -98511, -100015, -101773?\nAnswer: -103791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -36*h**4 - 50*h**3 - 14*h**2. Let j(z) = -z**3 - z**2. Let w(n) = d(n) - 6*j(n). What is q in w(q) = 0?\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*d + 10, -2*d + 4*d + 10 = 0. Suppose j = -m*j + 6. Suppose -i + f = -f - 2, 22 = -4*i - j*f. Which is smaller: i or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (343\/78204)\/(22\/(-352))\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-127 - -5) + 3 + (6 + 14 - 10)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -75, -194, -313, -432, -551?\n\"Answer: -119*o + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-15) + 174\/5. Suppose -5*o + 85 = -i. What is the highest common divisor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 9) to base 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z**2 + 5*z**2 + 8*z**2 + 4*z**2 - 24*z**2.\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**2 - 5*m - 4. Let r(g) = -9*g**2 + 9*g + 7. Let b(y) = -4*r(y) - 7*v(y). Let k(w) be the third derivative of w**4\/12 + 12*w**2. Give k(b(q)).\nAnswer: 16*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2117*h = -1491*h - 10642 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1431*c + 24. Is g(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2550721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 560\/60*((-396)\/77)\/(-4)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3 = -27. Suppose -j*i + 94 + 104 = 0. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14130*y - 5175.\nAnswer: -14130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-530330)\/(-14))\/1 + 2766\/9681?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1960990 divided by 2\nAnswer: 980495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l + 23 = 1010. Let r be 1*1\/(-2)*96. Which is smaller: l or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -12. Let v be (42 - 1) + 0\/c. Let i = 189 + v. Round i to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 246*z - 221. Let u be s(1). Calculate the greatest common divisor of u and 280.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 41) + 29 - -20.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 145 or 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 9:24 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + c = -520. What is the units digit of (-1)\/(-5) - (-8112)\/c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1907435 to the nearest integer?\nAnswer: 1381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, w: 9}. What is prob of picking 2 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2, -4, -2981 in decreasing order.\nAnswer: 10, 2, -4, -2981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i - 10. Let q(u) = -1. Let x(m) = j(m) - 6*q(m). Let b be -5*9\/((-90)\/(-16)). Let o be x(b). Solve 2*g + o = 6*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + (5*sqrt(19)*1)**2 - (0 + (sqrt(931)*-2)**2)).\nAnswer: -13012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 9:53 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gngg when four letters picked without replacement from {y: 4, s: 1, g: 3, n: 10}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, g: 3, q: 11, s: 2}. What is prob of sequence gfsg?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -26*l**4 + 37*l**3 + 4842*l**2 - 12977. Let q(v) = -4*v**4 + 6*v**3 + 807*v**2 - 2163. Let z(p) = -3*o(p) + 19*q(p). Differentiate z(w) wrt w.\nAnswer: 8*w**3 + 9*w**2 + 1614*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.8 + 3. Let n = 1.2 - s. Let p(a) = -7*a + 171. Let d be p(24). Sort n, d, -3.\nAnswer: -3, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*a + 19, -10 = -2*k - 0. Let o be (-75)\/27 + a\/(-27). Put o, -4, -5 in ascending order.\nAnswer: -5, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*b - 40. Suppose -5 - 345 = -5*j. What is the highest common factor of b and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3042046 from 2.\nAnswer: -3042044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2875687951?\nAnswer: 137, 20990423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16000 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.4 (c) -0.76 (d) -0.2 (e) 1\/222 (f) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -36 - 0. Let b be 4\/18 + 4\/w. Suppose -5*n - 55 = -5*s, 2*s + 0*n + 5*n = -13. Solve b = -4*z + s + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4730360 + -4713335.505. Let v = w + -17064. Let x = v + 0.005. Round x to 0 dps.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - l + 16. Let k(x) = x - 3. Let g be k(3). Suppose 12 = -5*n + 8*n, -51 = -v - n. What is the remainder when v is divided by q(g)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -287.106 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x**2 + x + 2. Let j be p(-2). Suppose 4*g + 5*z = -4, 5*z + j = -2*g + 4*g. Solve -16 - 4 = g*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.909258 weeks in microseconds?\nAnswer: 4178719238400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 163 + -115. Suppose 0 = -38*k + d*k - 650. Calculate the greatest common divisor of 26 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 2*q - 3*q)*(0*q**2 - q**2 - 4*q**2).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j**4 + 91*j**3 - 379*j**2 + 571*j - 245. Let o(y) = -y**4 - 18*y**3 + 76*y**2 - 114*y + 49. Let p(f) = -11*o(f) - 2*u(f). Let p(q) = 0. What is q?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -45, -100, -165, -246, -349?\n\"Answer: -t**3 + t**2 - 51*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*(1 + sqrt(2448)*-1 - sqrt(2448)) + 5 + 1*sqrt(2448) + sqrt(2448) + -1 + sqrt(2448) + -5)**2.\nAnswer: -240*sqrt(17) + 61200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 16*r - 93. Let i be c(6). Let a be (i\/(-7))\/(6\/(-42)). Solve 0 = a*l - 2*l - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4560*p**2 - 2 + 4556*p**2 - 9115*p**2 + 2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -46829, -92957, -139085, -185213?\n\"Answer: -46128*b - 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16157007?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1331) + (sqrt(1331) - (sqrt(1331) + 4))**2 - sqrt(1331))*3 + (sqrt(1331) + 3*(sqrt(1331) + -2) + sqrt(1331))**2.\nAnswer: -660*sqrt(11) + 33354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39558 by 694.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 769, 1534, 2299, 3064, 3829?\n\"Answer: 765*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 6 - (3 + 8 + (6 - 13))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.95 and -0.22.\nAnswer: 3.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 34, 179, 566, 1315, 2546, 4379, 6934?\n\"Answer: 20*u**3 + u**2 + 2*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 5 - 3*p + 3)*(100 - 126 - 361).\nAnswer: -774*p + 774","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 3*y + 4 = -y, 5*l - 4*y + 8 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110022211020 - -1112?\nAnswer: 110022212202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 34*y**3 + y - 1. Let b be z(1). Let p = 21 + b. Suppose -p = -4*x - 4*i + 3*i, 3*x - i - 43 = 0. Calculate the lowest common multiple of x and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009622 to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((-7)\/((-14)\/4)) + (-928)\/192 + 5. Let f = 0.5 + -0.8. Let r = -256\/4553 - 2\/157. What is the nearest to r in -1\/2, y, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 558954474?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - n + 38 = 0. Let d = 5 - -8. Calculate the remainder when n is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3412335 to the nearest 100000.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.15163 decades in months?\nAnswer: 9378.1956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*h + 6 = 0, -4*h = -0*h. Which is the nearest to 2? (a) n (b) -0.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89152450.\nAnswer: 2, 5, 41, 157, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.076 in -0.5, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65534, -65554, -65600, -65678, -65794?\nAnswer: -65954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 5:30 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13794 and 165?\nAnswer: 68970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((n*n**(-16)\/n)\/n))\/n**(3\/4))\/(n**(2\/21)*n)**30)**(2\/121) assuming n is positive.\nAnswer: n**(-437\/1694)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 113279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l**2 + 2*l + 4. Calculate o(4).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 7*i - 10. Let x = -367 + 358. What is c(x)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytritr. Give prob of picking 2 r and 2 t.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 2130560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2018*s + 11730*s = 5701 - 6472 - 106061 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2. Let f(g) = 6340*g. Calculate f(i(b)).\nAnswer: -6340*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -1)\/((-1)\/(-31)). Suppose 0 = 3*r - 2*r + a. Let c = -3 - r. Calculate the greatest common factor of c and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 30. Suppose 0 = -4*m + j*m + 3, m + 138 = v. Suppose 0 = -d + u - 44, 2*d + 2*u + v = 35. Sort 2, -1, d in descending order.\nAnswer: 2, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*f - 15. Let k be f\/(((-16)\/(-12))\/2). Solve y - 4*g = 18, 2*g + k = 4*y - 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**4\/12 - o**3\/2 - 3*o**2. Let i(h) be the first derivative of h**2\/2 - 4*h + 30. Calculate -3*i(a) + 4*r(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*i**2 + 1 - 10*i**4 - 1 - 35*i**2 wrt i?\nAnswer: -240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60604460 - 60604460 - m + m - m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 385 - -392. Let l = 1307 - w. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgenk. What is prob of sequence ke?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*l**2\/21 - 398*l\/21 + 80\/21.\nAnswer: -2*(l + 40)*(5*l - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 109.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -7 + 5, -56 = -x - a. What is the smallest common multiple of 60 and x?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98559688 a multiple of 1532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7867 + 39*l - 16*l - 10*l - 3001 - 11*l.\nAnswer: 2*l + 4866","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -53*k + 2. Let l be f(1). Let g be (l\/(-85))\/((-1)\/(-10)). Calculate the greatest common factor of 12 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 3. Let r be y(-5). Suppose -r*b + 34 = 10. Calculate the common denominator of 58\/7 and b\/54 - (-1066)\/144.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -705 divided by 6.\nAnswer: -235\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**2 + 2*h**2 + h**2 to j*h + r + m*h**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401965?\nAnswer: 5, 17, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*c + 24, 3*c + c = k + 32. Let h = -25 - -30. Solve -h*d = c - 33 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11163 - -223307\/20. Let m = 50458078687\/1518 - 33239845. Let y = -43\/69 + m. Calculate the common denominator of y and s.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/63 and -39\/62300.\nAnswer: 560700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-149 - -303) + -92 + 23?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(1\/3)))\/m)**(30\/7)*m**(-4\/3)*m*m**6 assuming m is positive.\nAnswer: m**(-1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzfzzzfz. Give prob of sequence zf.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/32, -5, -2, 1\/97 in descending order.\nAnswer: 3\/32, 1\/97, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = -n - 32. Suppose -5*q = -5*d + 55, -q = 2*d + 2*d - 39. What is the remainder when d is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 365880 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 398 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/99 and 31\/2684.\nAnswer: 24156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/286750 and -11\/28675.\nAnswer: 286750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 8) to base 2.\nAnswer: 100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1352101 (base 6) to base 14\nAnswer: 20073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1237b + 2a6?\nAnswer: 12665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 + 58. Let f(i) = 3*i**2 + 58990 + 4*i + 2*i**2 - 6*i**2 - 58989. Give f(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 3:06 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b4 + 2b?\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*j - 249*j + 96*j + 76*j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + c**2 - 2*c + 1. Let o = 1 + 0. Let w be x(o). Calculate the least common multiple of (-2)\/4*w*10 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (9 + -10)) + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/j**(1\/3))\/j*j**(-1\/9))\/(j**3\/j**(-2\/9)))\/((j\/j**(-1\/4))**(-15)*((j*j**(-1))\/j)**(2\/129)) assuming j is positive.\nAnswer: j**(2769\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + -1*sqrt(300)*6 + sqrt(300) + 0 + sqrt(300) + 2 + (2*sqrt(300) + -1 - ((sqrt(300) - (0 + sqrt(300))) + 0)))**2.\nAnswer: -20*sqrt(3) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, b: 5, m: 3}. What is prob of picking 1 m and 1 a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.16, 102.894, -3\/5?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (-3 - -2) - ((-70 - -68) + -2).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 + 21*v - 52. What is o(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(3\/6*-2). Let i be 0\/(-2)*(-1 - a). Let n be (-4)\/(2 + i) - -4. Solve 0 = -2*z - 0*z - n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 63. Let k = -14 - d. Let x(n) = n**3 + 2*n**2 - 2*n + 3. Let h be x(k). Solve 6 = 3*i + h*l + 3, 4*l = 4*i + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = c, 3*i = 2*c + 10. Let o be 0\/((-9)\/(-3) + -1). Put i, 3, o in decreasing order.\nAnswer: 3, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1750131?\nAnswer: 3, 163, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 + 37*z**3 - 6*z**3)*(3 + 2 - 3).\nAnswer: 56*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/1)\/(-3) - 1. Which is greater: 0.08 or t?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 3. Suppose -3*n + 2*c + 6 = u, -n - 5 = -4*c + 3. Let b be n\/(-3 - -1) + 35. What is the greatest common divisor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 b, and 1 w when four letters picked without replacement from {g: 2, w: 13, b: 5}?\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/2 of a centimeter?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0 = -6. Suppose 0 = -j + q + 2. Let a be (-3)\/j + -6 + 8. Sort -1, -5, a.\nAnswer: -5, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40933532.\nAnswer: 2, 10233383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26077 or -26105?\nAnswer: -26105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -117 - -5?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 97517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 49252 divided by -3518\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12024 + 341002?\nAnswer: 403031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0021779 to five dps.\nAnswer: -0.00218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzrurrrrzrrruzr. Give prob of picking 1 u and 1 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1\/4))\/(v*v**(-9\/4)*v)*((v*v\/(v**(-4)\/v))\/v)\/v**(-2\/9))**(1\/4) assuming v is positive.\nAnswer: v**(65\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from zazazzzzzaazaazaaza?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16.4318 and 5?\nAnswer: 11.4318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(12\/(-10) - 1\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -125.8 - -138. Let p = r + -10. Let i = 2 - p. What is the closest to -0.1 in 1, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = g - 6, 0 = 11*j - 12*j + 2*g + 3. Solve -3*y - 6 = j*u, -3*y = -4*u + y - 16 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 35 = -g, 0 = c - 6*c + 2*g + 59. Let v = 13 - c. Let x be v + (-16)\/3 - -3. Is x >= -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -6, 363 in decreasing order.\nAnswer: 363, 3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15719 - 823?\nAnswer: -16340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000016858167778 to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.19 in -5, -1, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27035 - -27072.913. Let v = k - -0.387. What is v rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z + 90. Let k be z\/(-8) + (-3)\/12. Suppose 3*f = 5*o + f - 33, k*o + 4*f = 18. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 279242 and 6303.\nAnswer: 9214986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1175, -4737, -10681, -19013, -29739, -42865, -58397?\n\"Answer: -z**3 - 1185*z**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1011 + -1009. Solve -4*i - c*f = -22, 31 = 4*i + 3*f + 2*f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 4.73. Let k = -103.69 + 104. Let a = k + w. Round a to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**4 - 4*d**3 + 8*d + 4. Let j(r) = -r**3 + r + 1. Let i(b) = -g(b) + 4*j(b). Find the second derivative of i(h) wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 10*v + 7*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48.02 + -48.02. Let d = 0.9 - 1. Which is smaller: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k. Let z be -4*(1 + (-9)\/6). Let i(o) = 6*o**2 + 2*o**2 - 6*o**z. Determine i(j(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 291814164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, y: 1, u: 2, l: 6, x: 1}. What is prob of picking 2 u and 1 k?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 5:18 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-180) - 325\/(-250) - (-5880)\/(-63)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-2)\/(-144)*4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7042558 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.264, 0.5, -80, 4 in decreasing order.\nAnswer: 4, 0.5, -0.264, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 286, 283, 280, 277, 274, 271?\n\"Answer: -3*b + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 158*z + 227*z - 3.\nAnswer: 69*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(882) - 5*sqrt(882)*1)*-2)\/(-6*sqrt(144)*1*1).\nAnswer: -7*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 3. Let x(i) = -2*i**3 + 2*i**2 + i + 1. Let z(s) = s + 2. Let b be z(0). Let k be x(b). What is the units digit of g(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/(-12))\/((-1)\/((-48)\/30)). Find m, given that 0 - 3\/5*m**a - 3\/5*m = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 <= 604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55820777?\nAnswer: 4957, 11261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10661055 + -16?\nAnswer: -10661104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 3850?\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 112 = 2*y - 38, 5*h + 2*y - 246 = 0. Solve 3*r = -5*r - h for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2698*h**3 - 18948*h**2 + 112402629*h?\nAnswer: 16188*h - 37896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - y - 23 + 0*y + 34 as k + m*y and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*l**3 - 25*l**3 + 37*l**3 + (-2*l**2 - 2 + 2)*(2*l - 4*l - l) - l**3 + l**3 - 2*l**3.\nAnswer: 56*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4808311*b**2 - 3*b - 10709862 wrt b?\nAnswer: 9616622*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + 0 + -2 - 5) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -4. Find the second derivative of 16*x**3 - 16*x**3 - 2*x + 5*x**v wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 62 + 39 = -f, -5*d = -4*f - 245. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 3) in base 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 2*z, 0 = -5*i - 5*z + 13*z - 68 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -11*(3 - 4) + -2 + 1. Find the common denominator of (-618)\/(-720)*y\/(-4) and 155\/66.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 5742260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -344, -656, -894, -1052, -1124, -1104, -986?\nAnswer: -764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -25857684 and 5.\nAnswer: -25857679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(3\/(-1) - -2). Suppose 0 = -3*y + 3*z - 6*z + 36, -s*z = 8. What is the lowest common multiple of y and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 373*p**4 - 2*p**2 - 194*p**4 - 4*p + 5 - 181*p**4 - 7*p**3 to n*p**3 + c*p**4 + j*p**2 + y*p + a and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 53 = 4*n - 49, -2*z - 12 = -3*n. Solve -5*f + 4*f + n*y = -1, -4*f - 4*y - 20 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 913.981ms to nanoseconds.\nAnswer: 913981000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 1071003 = -2*g + 3*o, g - 5*o + 356995 = 0. Round g to the nearest ten thousand.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/5 of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 = -2. Suppose 2*i + 5*d = 4*d - 3, 3*d + 9 = -o*i. Suppose -y + 3 = -r, 3*y + 0*r - 2*r = 8. Solve -6 = v - y*l, i*v + 20 = -4*v + 4*l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**6\/12 + 21*a**5\/5 + 23*a**4\/4 - 64*a**3\/3 - 45*a**2\/4 + 43*a - 8384. Let f(d) = 0. Calculate d.\nAnswer: -2, -1, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71952286 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 311161507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000177672 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -312*i**4 + 25329*i**3 + i**2 + 8889772*i wrt i.\nAnswer: -7488*i + 151974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1333 and 132.\nAnswer: 175956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**2 - 8*o + 20. Let z be p(4). List the prime factors of (-32)\/(-112) + 22\/14*z.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 0.081\nAnswer: -0.00324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11443 (base 7) to base 5\nAnswer: -43341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 7:11 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + z - 5. Determine x(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1604 and 19248?\nAnswer: 19248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(3 + 15\/(-6)). Suppose 3*s - 10 = t*v, -3*s - 3*v + 0*v - 15 = 0. What is the smallest value in -2\/5, s, -0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.728432 rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 630*l + 41. Let d(n) = 157*n + 10. What is -9*d(q) + 2*x(q)?\nAnswer: -153*q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1715 and 90.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + 12 - (-33 - -91)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 448265 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p**3 + 426*p**2 + 3*p - 287. What is r(71)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2)\/d*d\/(d\/(d\/d**(-1\/16)))*(d*d**(-2\/5)\/d)**(-3\/31) assuming d is positive.\nAnswer: d**(-4709\/2480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(sqrt(128) + 5)*6 + ((sqrt(10) - -2*sqrt(640)) + sqrt(10))\/(2*sqrt(5)*-1).\nAnswer: 33 + 39*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 31*o**4 - 67*o**3 - 18*o**2 - 36*o + 13. Let n(j) = 11*j**4 - 25*j**3 - 6*j**2 - 12*j + 4. Let g(u) = 4*h(u) - 11*n(u). What is b in g(b) = 0?\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 24 = 30. What is the remainder when -26*18\/4*4\/(-6) is divided by l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4. Let h(p) = -p - 8. Let o(i) = -7*d(i) + 3*h(i). Calculate o(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3146 + 3167. What is the greatest common factor of 1358 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**4\/24 - 11*q**3\/3 + 793*q**2 + 3. Calculate g(13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 77\/1 + 3\/(-3). Suppose -5*q + q - f = 0. Does 11 divide (q\/(-4))\/(2\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -10, 1\/2, 0 in descending order.\nAnswer: 1\/2, 0.1, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 11*s + 24. Let o be r(-3). Let z(n) = -n**3 - 4*n + 378. What is the hundreds digit of z(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-9)*3 - ((-1267)\/378 + 1) and 67\/662.\nAnswer: 17874","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w - 22*w**5 - 2*w**5 - 5*w - 10*w wrt w.\nAnswer: -480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17295554 by 8647777.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -63*d - 18087. Let i(t) = 20*t + 6025. Calculate -19*i(z) - 6*u(z).\nAnswer: -2*z - 5953","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -221\/103, -3, -9\/389?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 5. Let o = -12334.1 - -12333.7. What is the second smallest value in 40, a, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 55*f - 603. Let m be z(11). Let c = -15 + 22. What is the greatest common divisor of c and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1041 = 3*k, 15*k = 11*k + 3*h + 1388. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 564, -1, -5 in increasing order.\nAnswer: -5, -4, -1, 564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*o**2*v - 77676*o**2 - 6*o*v + 31*v wrt v.\nAnswer: -16*o**2 - 6*o + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, m: 7, p: 6}. What is prob of picking 1 p, 1 x, and 2 m?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11792?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n - 24. Let o(h) = 3*h - 21. Let i(f) = 4*o(f) - 3*v(f). Let c(b) = -12*b. Calculate i(c(a)).\nAnswer: -72*a - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, j: 2, m: 1}. Give prob of picking 3 u and 1 j.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 25644.39 years?\nAnswer: 25.64439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3235 + -3240.077. Let i = -0.077 - p. What is the third smallest value in -0.02, i, 2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 79478.\nAnswer: -1\/79478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 271095577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1*-12)\/1*(-3)\/4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 1 - (5 - (7 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 4:04 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d - 4*d)*(-118*d**2 + d**3 + 112*d**2 + d**3).\nAnswer: -8*d**4 + 24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -p + 2, 4*s - 4 = p + 9*s for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1607115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44.7 and -28705?\nAnswer: 1283113.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 163800 divided by -91?\nAnswer: -1800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 9:00 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/4 - 1763*m**3\/4 - 1765*m**2\/2.\nAnswer: m**2*(m - 1765)*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xlxlllalrt. Give prob of picking 2 x, 1 t, and 1 l.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/9)*n)**(-3\/7)\/(n**(-3\/2)\/n)**(-27))**(5\/4) assuming n is positive.\nAnswer: n**(-14255\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 31*h**2 + 27*h + 200. Determine u(32).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22.2467, 15, -0.4.\nAnswer: -0.4, 15, 22.2467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1894367716?\nAnswer: 2, 19, 31, 101, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24691784 and 96174.\nAnswer: 3562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008818 rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*k = 2878*k + 5185*k + 509340 for k.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 3*k**5\/10 + 7*k**4\/6 - 7*k**3\/3 - 3*k**2 + 36*k - 74. Let i(w) be the first derivative of h(w). Factor i(f).\nAnswer: 2*(f - 1)*(f + 3)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1806480862 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52495 + 86285. What is g rounded to the nearest one thousand?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/702 and -10\/117?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1483033 rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5966, -1496, -8958, -16420?\nAnswer: -23882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ououooouoooouu. Give prob of picking 4 u.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42138527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.98314 millimeters to kilometers.\nAnswer: 0.00003198314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-75)\/(-10))\/((-91)\/(-28) + -3). Is m bigger than 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7de1d (base 16) to base 11\nAnswer: 32242a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 351164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, t: 5, g: 3, l: 4, m: 3, o: 1}. Give prob of sequence tmlo.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 57?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -5 + 28 - 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 12*r + 2. What are the prime factors of o(5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 169650 divided by -16965\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 4.9?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 9*u**4 + 2*u**3 - 2*u + 3. Let z(y) = 17*y**4 + 5*y**3 - 5*y + 5. Let w(o) = -5*c(o) + 2*z(o). Find the first derivative of w(p) wrt p.\nAnswer: -44*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5337 is divided by 1777.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.394 - 0.294. Let v be 2\/(-1*3\/(-9)). Suppose -3*r + r = v. Which is the second smallest value? (a) r (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, v: 9, d: 4}. Give prob of picking 1 n and 2 v.\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/111611 and 43\/30.\nAnswer: 3348330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -51.969 from -0.295501.\nAnswer: 51.673499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 30 - 18 + 2*z)*(4*z**2 + 2*z**2 - 2*z**2).\nAnswer: 8*z**3 - 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.3, -0.3, 4, 310, 4\/9, -0.08?\nAnswer: 310","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 612289 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2938*g**6 + 10*g**2 - 80 wrt g.\nAnswer: 352560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2. Let m(c) = 678*c**2 + 15*c + 10. Calculate m(g(k)).\nAnswer: 678*k**4 + 15*k**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2524 and 80.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**3 + 230 + 3*j**4 - 122 - 13*j**4 - 117 as z*j**2 + t*j + f*j**3 + w + s*j**4 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -54.6 in -0.2, 0.018, 1\/5, 2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21198 and 1310743?\nAnswer: 7864458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50510 (base 7) to base 4.\nAnswer: -2333201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2890*c - 143. Let j(v) = -6. Let w(i) = 5*j(i) + t(i). Is w(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 6) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*v - 762 = 59*v + 165. Let g(h) = -h - 2. Let b(i) = -i - 1. Let u(p) = -3*b(p) + 2*g(p). Calculate u(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1696842 and 215874.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.17, 4\/2553, -8 in descending order.\nAnswer: 4, 4\/2553, -0.17, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.3 and 1\/38 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 - -29. Let k = a + 33. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in 3, -1.1, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 27*s - 30*s = -28*s + 90 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 8*b**2 + 8*b + 8. Let f(y) = 9 + y + 0*y + 10 - 18 - y**2. Calculate -40*f(q) + 5*v(q).\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.134558 seconds in microseconds?\nAnswer: 134558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23 and -53.1.\nAnswer: -1221.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(-2 + 2*j**3 + 2).\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 20 + 10. Suppose c*h - 772 - 1064 = 0. List the prime factors of h.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**2*y**3 - 42*k**2 - 84*k*y**2 + 52934*y**3 + 4*y**2 wrt y.\nAnswer: 6*k**2 + 317604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*(0 + sqrt(931)).\nAnswer: -70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -187*r**2 + 347*r - 5. Let x(d) = 94*d**2 - 173*d + 3. Let s(n) = 3*a(n) + 5*x(n). Find the second derivative of s(l) wrt l.\nAnswer: -182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-11))\/(18\/(-132)). Suppose -34 - 38 = x - 2*v, 3*v + 321 = -o*x. Is x greater than -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**5 + 12*q**4 + 10*q**3 = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ala when three letters picked without replacement from {b: 1, a: 6, q: 4, l: 3}.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 26*p - 6. What is r(12)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h + 572 - 355 + 421 = 0 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-3 - (7 + -22))) + -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*r = 12, -2*y + 2*r + 12 = -y. Suppose t + 44 = 6*t + 2*l, -y*l = -t. What is the greatest common divisor of t and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 2*y = 778, 4*h = 3*y - 72 + 589. Is 140 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 - 2*p**2 + 42*p + 9. Let i be f(-5). What is the third biggest value in -2\/33, i, -3.3?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 5*w**4\/9 + 985*w**3\/36 - 125*w**2\/4 + w + 1146. Factor u(y).\nAnswer: 5*(y + 25)*(8*y - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + sqrt(720) + 3)**2.\nAnswer: -96*sqrt(5) + 736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 + j**2 + 3*j + 7. Give p(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4947584 divided by 1.\nAnswer: -4947584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 3.604. Let r = w - 0.504. What is the closest to 0.3 in -2\/7, -0.4, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = i + 25, 5*t = 3*i + 4. Solve 6*m - 16 = t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + k - 36 = -3*k, -4*k + 52 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*g - 2*q, -q - 7 = -10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 10:33 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + ((2*sqrt(105)*2 + sqrt(105) + sqrt(105) - sqrt(105))\/sqrt(7))\/(sqrt(24)\/(1*sqrt(8)) + sqrt(3) + sqrt(33)\/(-1*sqrt(11)))*6.\nAnswer: -7 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6*v - 30 = 0. Suppose -v*o + 315 = -57. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1011 = -4*v + 341. Let h = v - 202. What is the highest common factor of h and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1909 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 28. What are the prime factors of j\/9 - ((-13)\/3 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-y + 1 - 1) - 6*y - 4*y - 26*y + (-y + 4*y - 4*y)*(-1 + 2 - 2) + y + y - 4*y - 2*y - 2*y + 2*y.\nAnswer: -37*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l + 18*l - m + 3 = 0, 0 = -3*l - 5*m + 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**3\/3 + x**2 - x - 21. Suppose 6 = 2*k - 6. What is the remainder when t(k) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 - 6*h. Let j be (3 + 0)*(-2)\/(-3). Let o(c) = j*c**2 - c + 2*c**2 - 10*c. Let t be (-17 - -12) + 3 - -8. Determine t*o(s) - 11*d(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*v + 16 + 4 = 0, 5*j + 25 = -5*v. Let g(i) = -i**3 + 5*i**2 - 3*i - 1. Let y be g(3). Let n be (4\/y)\/((-2)\/4). Sort 3, n, j in increasing order.\nAnswer: n, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5725.12230958 + -5730.12231. Let y = u + 5. What is y rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c5c + -184?\nAnswer: -de0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/8809 > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from srsrrrjjgsjrzmz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11002 + -10?\nAnswer: 10332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 236001 and 236001 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 11e?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -295 + 307. Suppose -2*l = -5*i - 2 - 23, 40 = -5*i + 5*l. Calculate the remainder when (-45 + i + 1)*-1 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + 1 - 10) + -2 + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32090284 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -70\/3. What is the nearest to s in -0.5, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8.493585 days?\nAnswer: 203.84604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2059994, 4120016, 6180040, 8240066, 10300094?\nAnswer: 12360124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -86*y - 6. Is m(-1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*l - 19 = 2*f, -4*f - 4*l = 16. Let m be (-2 - (-3 - 2))\/f. Put m, -1, 4 in increasing order.\nAnswer: -1, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27 + -1*(-1 - -3). Let b = k + -17. Suppose 0 = 4*j + m - 225, -3*j + 4789*m + 126 = 4785*m. What is the lowest common multiple of b and j?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -105 + 1051\/10. Calculate the common denominator of 25\/6 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-6))\/((-1)\/(-21)))\/(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -5*i. Suppose i = -3*k - 36 + 123. List the prime factors of k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Suppose 2*z = -2*w - 32 - 24, 3*w + 55 = -y*z. Let o = z + 26. Put o, -2, -4 in ascending order.\nAnswer: -4, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1455 or -1466?\nAnswer: -1455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 314?\nAnswer: -8\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 29*v + 202. Let g be s(-7). Let j(y) = 19*y**3 - 2*y**2 - 2*y - 1. Give j(g).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47023 - -80431. What is the ten thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -5 + (-333)\/(-45)*(-225)\/105?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18137, 37080, 56023?\n\"Answer: 18943*c - 806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-36))\/((-151)\/(-16761))?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 6:56 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-12) - 889\/42. Let k be (n\/7)\/(9\/(-50)). Let j = -17 + k. Put 0.4, -2\/27, j in ascending order.\nAnswer: j, -2\/27, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4402699?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 37*f - 151. Let k be c(10). Do k and 221 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m*p**3 - 4*m - 2*p**4 - p - 12 wrt p.\nAnswer: -6*m*p**2 - 8*p**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/((-54)\/(-127218)) + 8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 0*q + 11\/30*q**5 - 8*q**2 + 1\/2*q**3 + 0*q**4 + 0. Find the first derivative of d(m) wrt m.\nAnswer: 44*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -77 and -94108305.5978.\nAnswer: -94108382.5978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 178 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.67 * 500.\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10608 - 49\/(441\/54).\nAnswer: 2, 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a + 4*a + 222*a**2 - 211*a**2 + 2*a. Let v(m) = 23*m**2. Give v(q(r)).\nAnswer: 2783*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 17. Suppose -16 = r*a - 4*a. Let s be a\/(-3)*6\/4. Which is bigger: s or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49676, 50306, 51362, 52844, 54752, 57086, 59846?\nAnswer: 63032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-7 - -12) + 146*5\/(-140)). Put i, -1\/3, 0, -1, -0.2 in increasing order.\nAnswer: i, -1, -1\/3, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 63? (a) 1\/3 (b) -0.5 (c) 0.4 (d) -5 (e) 297\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 10 = 0, 0 = g + 3*g - 5*o - 26. Let y be 6\/g*(-1)\/12. Suppose -2 = 6*x - 4*r, 5*r - 4*r - 2 = 0. Is x at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = u, -2*d - 17*u - 6 = -18*u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-153)\/(-102)*11\/((-66)\/140).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 973911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.283 + 0.117. Let f = -6\/11 - -1\/22. Put f, -4, d in descending order.\nAnswer: d, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 4:18 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 3:25 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 268 = -5*p, -3*a - 17 = p + 243. Let k be a\/(-4) + (-5)\/10. Let h be 506\/3 - 6\/9. What is the greatest common factor of h and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.131, 0, -4, -1\/7, -1\/5, 9 in increasing order.\nAnswer: -4, -1\/5, -1\/7, 0, 0.131, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 58759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*j = 29916, b - 3793 = j + 6187. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 11. Let i(w) = 234*w**2 + w + 1. Let c(z) = -233*z**2 - 3. Let p(l) = -3*c(l) - 2*i(l). Is p(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51782?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.7 + 1.8. Which is the nearest to f? (a) 4 (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a - 4 = 0. Suppose -16 = -u + 4*n, -u = 4*u - 4*n. Put a, u, 14 in descending order.\nAnswer: 14, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -8 + 0*g - 4*g + 8. Let q(m) = 2*m - 4*m + 0*m. What is x(q(s))?\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -11*s - 39. Let g(a) = a - 1. Let l(m) = 4*m - 11. Let c(u) = -5*g(u) + l(u). What is c(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 2*h + 15. Let t(v) = -v**2 + 13*v**3 + h*v**2 - 3*v + 6*v**3 + 14. Let k be t(9). Round k to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 7:34 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o - 4*o + 5*o - o. Let c(j) = 7*j**2 + 21*j + 21. Let g(u) = -2*u**2 - 5*u - 5. Let n(h) = 5*c(h) + 21*g(h). Calculate n(s(f)).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**3 - 3*z - 5. Let d be i(4). Let f = d - -164. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 18 = 5*r, 0*r - 3*l = -3*r. Let c be 2*(10\/4 - 1). What is the remainder when ((-1 + c)*-2)\/(-1) is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -15*(-19 - 1711\/(-87) - 5\/(-3)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 - 254 + l**2 - l**2 - 6*l**2.\nAnswer: -9*l**2 - 254","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-1 - -1 - (-1 + -4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*x**2 - 55*x**2 - 192*x**2.\nAnswer: -295*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (8 - 12 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -70347437 and -5725.\nAnswer: -70353162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 137528497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12000 - 36d8?\nAnswer: c706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4 = 2*h. Suppose -h*j + 7 = -13. Solve 4 + 11 = -j*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756214666.\nAnswer: 2, 89, 4248397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 9. Let k be (-6)\/18 + n\/(-3). Which is the closest to -2? (a) k (b) -0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 - s - 1. Calculate the smallest common multiple of u(3) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z. Let j = z + -5. Let n = 7 + j. What is the greatest common factor of n and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3063*o + 171813 + 182554 = 72571 for o.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h**3 - 2 + 2 - 2187*h + 3166*h + 43*h**3.\nAnswer: 30*h**3 + 979*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148157 + 3*r + 148157.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59271?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -73580 not equal to -73578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*d + 2158 = 57*d - 1579 for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-35)\/15)\/(1\/(33687 - 0)). Let t be 4\/(12\/c) - -1. What is t rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70 (base 11) to base 2.\nAnswer: -1001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 4:38 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2013 + 773. Round h to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1\/4 (b) 106 (c) -0.30605 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -9. Suppose -1 = r - 2*o - 15, 4*r + 2*o - 106 = 0. Let k = r + -11. Calculate the remainder when k is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 20*m**2 + 19*m - 86. Let x be y(-19). Find the third derivative of -228*s**2 - x*s + 6773*s - 215*s**3 wrt s.\nAnswer: -1290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -318419124 divided by -280052.\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 + 35*d**2 - 76*d**2 + 35*d**2)*(0*d**2 + 4*d**2 - 2*d**2) as h*d**4 + m*d**2 + q + p*d + a*d**3 and give m.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 14 + 2 = 0. Calculate the remainder when 45 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.316 times -6.5?\nAnswer: 2.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 264263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -8. Suppose 0*u + u + w = 0. Let l be 7 - (-34)\/16*-4. Sort l, u, 17.\nAnswer: l, u, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 (base 15) in base 7?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -8*c - 47. Let d be w(-5). Let v(o) = 5*o**3 + 6*o**2 - 6*o + 5. Let g(i) = 6*i**3 + 7*i**2 - 7*i + 6. Calculate d*v(a) + 6*g(a).\nAnswer: a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -371362, -742956, -1114550, -1486144, -1857738?\nAnswer: -2229332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8 + (0 - 102\/(-24)). Suppose 2*a + 11 = 3*u - 0, -3*u = -q*a - 1. Solve 0 = 4*x - u - 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x + 20. Let p be g(-5). Suppose 5*k = -26 + 6, -p*s + 3*k + 62 = 0. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j + 8. Let s(t) = -4*t - 7. Let h(f) = 5*r(f) + 6*s(f). Let q be h(4). Suppose -p - 4*p = -10. Solve c - 3*l - 5 = p*c, 2*l + q = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(1440\/1160)*-4*4\/(-16)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 10*s**2 + 272*s - 255. Let y(u) = -16*u**2 - 408*u + 382. Let f(v) = -14*t(v) - 9*y(v). Suppose f(p) = 0. What is p?\nAnswer: 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 5*g - 6. Let k be n(-6). Let t be k\/(0 + 4)*1. Which is greater: 2\/5 or t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.263 to 0 decimal places.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 58*p**3 + 5*p + 478. Let z(y) = 58*y**3 + 7*y + 484. Let x(u) = 5*l(u) - 4*z(u). What is the derivative of x(q) wrt q?\nAnswer: 174*q**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 7 = 42*v - 43*v, -4*v = -4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3038 divided by -434\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*j - 64 = 0, j + 42 = -4*p - 36. Let u be p\/(-30) + (-22)\/6. Put -1, 3, u in ascending order.\nAnswer: u, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0 + (-4 - 1 + 4)*(1 + 0 - 2))*(-4*h - 4*h + 5*h).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 38 = -3*c, 15*c - 1568*c = 5*k + 21747 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 8 - (-7 + 3 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 22. Calculate s(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by 101002.\nAnswer: 21\/101002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3\/5, -6, -10, 0, 29?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 1\/2*r**4 + 0*r + 2*r**2 + 12 - 2*r**3. Find v, given that p(v) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9262 and 16676.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8*n - 39. Let r = -655 - -666. Let b be h(r). Calculate the greatest common factor of 84 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 4*w - 32*w**3 + 6*w.\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.004 - 4.796. Let s = 5 + v. Let b = -0.2 - s. Sort 3, -5, b in increasing order.\nAnswer: -5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 16) + 94 + (-65 - 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, b: 2}. What is prob of picking 2 d and 1 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1 (b) 21 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**2 + 5*k - 6. Give t(6).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12002 + 2?\nAnswer: 12011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -15*j**2 + j. Give t(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 28*x**2 - 131*x + 96. Determine v(32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*v = y + 1, 3*y - 5*v - 7 = 0. Which is bigger: 1\/12 or y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2010 (base 7) to base 3\nAnswer: -221200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1430 and 58445816?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {n: 7, c: 12}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/33*1*(-132)\/(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11204 (base 7) in base 12?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46222 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**2 - 4*w**2 + 2*w**3 + 0*w**2 + (1 - 1 - 1)*(-5*w**3 + w**3 + 2*w**3) in the form d*w**2 + j + i*w + m*w**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + ((5*sqrt(72))\/(sqrt(900)*-1))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103*g**5 - 7*g**2 wrt g.\nAnswer: -6180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 + 3054*p - 6104. Give y(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51805554 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -4 - (6 + 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(140) + 1*((sqrt(140) - 2*sqrt(140)) + sqrt(140)) + sqrt(140)))\/(sqrt(180)\/sqrt(4)*5) + 5)**2.\nAnswer: 8*sqrt(7) + 737\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*f - 1027 + 1165 - 2958 = 0 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 82 = -4. Suppose -68 = -i + 4*u, 0 = -i - 3*u + 4 + z. What is the greatest common factor of i and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666117.\nAnswer: 3, 24671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 7 - 2\/(-2). Let l = 10 - m. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 10*p - 241. Determine r(22).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 15*f - 12.\nAnswer: -3*(f + 1)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 165\/45*(-16)\/(-88)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8187931 divided by 8187931?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4848 - 4960 - -7*30\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -4\/9 (b) 1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*l - 3. Let p(q) = -q**3 + 2*q**2 + 2. Let s be p(l). Suppose -g + s = 3. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3198, -6459, -9682, -12849, -15942, -18943, -21834, -24597?\nAnswer: -27214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/19? (a) 0 (b) 9\/4 (c) -0.5 (d) 0.125 (e) 0.054\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/2*272\/170. Solve 4*p - g = -5*l - 0*l, -5*p + 3*l + 15 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 2*q + 1119 - 1120, 4 = 2*l - q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000204 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 26*b**2 - 51*b - 73. Let w = 192 + -169. Is o(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1758600 rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 0 = -4*u. Suppose -147 - 450 = -165*c - 34*c. Solve -4*h = -c + 23, u*n + 5 = 2*h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (32\/(-4) - 0) + 0. Let p be (-6)\/j - (-77)\/(-140). Suppose 10 + 1 = -4*u - 5*d, 2*u = -2*d - 4. What is the third smallest value in -7, p, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikg when three letters picked without replacement from kpsiqpgpqipqqsp.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12*-1)\/3)\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, y: 2}. What is prob of picking 2 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.35, 6, 474?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.541 - -0.461. What is the nearest to s in -0.4, 2\/13, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17.6 - -18. What is the second biggest value in z, -2\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5 - 16*y**4 + 29*y**3 - 14*y**2.\nAnswer: y**2*(y - 14)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.3 - 13.7. Let d = 12 + r. Which is the biggest value? (a) 0.4 (b) d (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204*l*u**4 + l*u + 121*l - 2*u**4 + 2*u**2 - 3*u wrt u.\nAnswer: 2448*l*u**2 - 24*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19580 + 97906\/5. Factor -24\/5*u**2 + 0 - k*u**3 + 24\/5*u + 6\/5*u**4.\nAnswer: 6*u*(u - 2)*(u - 1)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from wvqxbqv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8)*(68 - 74)\/(9\/4)*-51.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -858, -0.1, 4, -0.2.\nAnswer: -858, -0.2, -0.1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 243.25212 rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49851559*h**3*x**2 + h**2*x**2 + 7*h**2*x + 6214*h*x**2 + 6*h*x + 3*h - x wrt h?\nAnswer: 299109354*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3*(3*(-3)\/(-18))\/(-4)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 7*y**2 - 6*y + 1. Let x be b(-6). Let o be 8\/4 - -4*x. Solve -o = -2*l + 2*p, 3 = 4*l + p - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.18 - 0.29. Let r = a + 4.11. Sort r, 5, -0.3.\nAnswer: -0.3, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1620 = -598*x - 6154 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 5*a - 3. Let s be y(5). Let d = s - -5. Suppose 14 = x - 3*q - 9, 2*x + d*q = 22. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 349987, 350556, 351135, 351730, 352347, 352992?\n\"Answer: a**3 - a**2 + 565*a + 349422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12294553*d**4*p - 11515593*p wrt d?\nAnswer: 49178212*d**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -104, -5, 591, -1, 0 in ascending order.\nAnswer: -104, -5, -1, 0, 17, 591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*k + 2*q - 10, -5*k - q + 23 = 0. Suppose -3*n - 313 = -3*w - k*n, 414 = 4*w + 2*n. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1654*t + 4944*t + 5100*t + 4377*t - 1411*t)*(t + 2 - 2) to g + m*t**2 + x*t and give m.\nAnswer: 14664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 278*f - 772*f + 34580 for f.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14893209?\nAnswer: 3, 41, 40361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 502934 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -10*k - 5. Let t(f) = f**3 + 3*f**2 - 27*f - 91. Let j be t(-4). Determine r(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2058, 5, -5, -4, -2, 6 in ascending order.\nAnswer: -2058, -5, -4, -2, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 169b (base 16) to base 12.\nAnswer: 3423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1247 or 102203\/82?\nAnswer: 1247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 3)*(-5*a + a + 5*a) + 30*a + 288 + 4*a - 290 as u + m*a and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -46*d**4\/9 + 262*d**3\/3 - 22*d**2\/9 - 262*d\/3 + 68\/9 = 0.\nAnswer: -1, 2\/23, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shhshhhshhshrhhhhrs. What is prob of picking 2 r?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**3 - 28*k**3 - 2*k**3)*(-3*k + 16 - 16) - 4 - k**4 + 4.\nAnswer: 74*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/27969 and 68\/27?\nAnswer: 251721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1348.29865 times -6\nAnswer: -8089.7919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3 = -5*i - 6, -2*i - 14 = 4*g. Let z be g\/(-4) - (-30)\/4. Let v(s) = 9*s - 11. List the prime factors of v(z).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/361298 and -59\/1048.\nAnswer: 1445192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9*(7\/3 + -2). Suppose -2*y = -2*o + 10, -5*y - 13 = -2*o + j. Suppose -2*r - 4*d + 42 = -0*r, 69 = o*r + 3*d. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 = 4. Calculate the remainder when g is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1440732 and 34506.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 5, -2\/5, -31, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + l - 56 + 194, 5*b - l - 232 = 0. Let d = -42 + b. Put 13, -2, d in decreasing order.\nAnswer: 13, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 11:31 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -24 + 2*q**3 + 5*q**3 - 3*q**2 + 50 - 31 - 2*q**3. Let z(d) = 6*d**3 - 4*d**2 - 4. What is -4*s(a) + 3*z(a)?\nAnswer: -2*a**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v - 264*v - 4464 = 247*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 1)*(1 + 4993*c - 4993*c + 1274*c**3).\nAnswer: -3822*c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times -6.34577?\nAnswer: 0.1269154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 8*s + 4. Let k be h(8). Suppose -3*r = -5*d - 281 + 159, 2*r + 2*d = 76. Which is the second smallest value? (a) r (b) k (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 19*m - 1086. Let j be k(57). Let x(n) = 9*n - 13. Let g(c) = 5*c - 6. Let i(o) = -5*g(o) + 2*x(o). What is i(j)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19.85571 litres?\nAnswer: 19855.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 3*b - 3. Let p(z) = z**2 - 6*z + 2. Let q be p(6). Let d(y) = 1 + 3*y**2 + 0*y - 2*y**q - y. Calculate -4*d(m) - 2*v(m).\nAnswer: -2*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**4 - 3*f**4 + 4*f**4 + (4*f**2 + f**2 - 2*f**2)*(-4 + 2*f**2 + 4) + (68*f - 68*f - 13*f**2)*(-3*f**2 + 7 - 7).\nAnswer: 46*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, 186, 831, 2040, 3999, 6894, 10911, 16236?\nAnswer: 23055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**5 + 211*i**4 + 186*i**2 + 5*i?\nAnswer: -60*i**2 + 5064*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 2*t + 1893, -3*r - 4*t - 1869 = -8*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 15198?\nAnswer: 30396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b16 - -2?\nAnswer: -4b14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (11\/11)\/(1\/1649) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2231 and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(((z*(z*z*z**(-6)\/z*z)\/z)\/z)\/z*z)*z**(-1))\/(z**(-2\/7)*z)**(-7\/6) assuming z is positive.\nAnswer: z**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - q = -10, 2*d + 0*d - 4*q + 12 = 0. Let y(m) = 3 - 3 - 4*m**2 - m**d. Let j(s) = s. What is y(j(o))?\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 - 197*h + 179. Give s(-99).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4506*c + 4501*c + 3*c**3 - 9009*c - 3 + c**4 - 2*c**3 + c**2 in the form h*c + z*c**4 + t + d*c**2 + g*c**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/123? (a) -1.8 (b) -1\/8 (c) 4 (d) -1 (e) 1\/8 (f) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -14*d + 10*d - 806 + 803, 0 = 3*d + 2*o + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 783\/58 + (-4 - 8)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -11*z**2. Let d(u) be the third derivative of u**5\/30 - 4*u**2. Give d(v(w)).\nAnswer: 242*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**4 - 7*i**3 + 2*i**2 + 135*i + 7847. Let x(p) = -9*p**3 + 3*p**2 + 134*p + 7843. Let g(a) = 3*l(a) - 2*x(a). Differentiate g(w) wrt w.\nAnswer: 12*w**3 - 9*w**2 + 137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 + -102 + -1 + 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**8\/112 - 3*y**7\/70 - y**6\/10 + 22*y**2 + 2*y - 25. Let h(p) be the second derivative of w(p). Factor h(s).\nAnswer: 3*s**3*(s - 4)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = -10*c + 11*c. Let l = c + 1229\/7. Let 2\/7*w**2 + 2\/7 - l*w = 0. Calculate w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 5)*(2*w**4 - w + w) + (2 + w**3 - 2)*(-2*w + 0*w + 0*w) - 7*w**2 + 7*w**2 + 20*w**4 as d*w**4 + b*w**2 + q + c*w + j*w**3 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.104914t in milligrams?\nAnswer: 2104914000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -76622 equal to -76597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 3*q**2 - 69*q + 180. Let b be w(10). What is the highest common factor of 270 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 divided by -65\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-6 - 1) - (-1 - (-5 - -8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -17*p + 48. Let r(y) = 18*y - 48. Let i(f) = -2*r(f) - 3*s(f). Calculate the remainder when 341 is divided by i(7).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ere when three letters picked without replacement from {r: 1, c: 1, i: 1, t: 1, m: 2, e: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 - 3*s**3 + 3*s**2 + 0*s**2 - s**3 + 0*s**2 + (1 + 2*s**2 - 1)*(-s + 3*s - 6*s).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5.086977 days?\nAnswer: 0.726711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2, 0 = -v - 2*k - 0*k. Let s be ((-216)\/(-18))\/4*10\/(-6). What is the second smallest value in s, 2\/5, 1, v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 411, 48, 0 in descending order.\nAnswer: 411, 48, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -174 times -5\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -292 smaller than 0.070125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67986 by -54.\nAnswer: -1259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9140343 and 7959?\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*k + p - 45, -4*k = 4*p + 100. Let u be (-3 - k\/9)*12. Differentiate 2 + 9*f**u + 2*f - 2*f - 7 with respect to f.\nAnswer: 36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1937863?\nAnswer: 421, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -10*a + c + 21, -c = 5*a - 117. Solve 54*p - a = 139 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = 20*x - 24*x - 5*d, 4*d = -x + 90. Suppose y - 284 = 2*c, -2*c + 214 = y - x. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + 11. Is 23 a factor of (1 + -18)\/((-5)\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0791 in 2\/19, -6\/2263, 2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -2*3\/6. Let r = -143.206 + 0.206. Let l = r - -147. What is the third biggest value in -3, l, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 724.31188 - 0.31188. What is the nearest to -1 in -1, -0.2, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l + l + 4*l + (1 - 3 + 1)*(6*l - l - 3*l) + 2*l + 4*l - 4*l)*(4*l - 5*l + 2*l) - l**2 + 0*l**2 + 7*l**2 to q*l**2 + m + y*l and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 times 0.412811?\nAnswer: 24.355849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6556 and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4\/3 + 26207*f**3\/3 + 171714815*f**2\/3 + 171688609*f\/3 = 0 for f.\nAnswer: -13103, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 561.706409 from -89356.5.\nAnswer: -89918.206409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 144 = -9*i. Let a = 36 + -31. Solve -5*t - i = -0*t - u, 4*t + 17 = a*u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -225. Let d = s + -156. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 325220 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59436 is divided by 676?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12751 = 926*n - 1237*n for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.44 and -0.4?\nAnswer: 0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, d: 2, n: 3, w: 5, i: 7}. What is prob of picking 1 n and 2 i?\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqefqfqqff. Give prob of sequence fqef.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -69932*m**3 + 69176 wrt m?\nAnswer: -209796*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -743*a**3 + 743*a**3 + 100*a**4 - 139*a wrt a?\nAnswer: 1200*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252, -278, -298, -312, -320, -322, -318?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 9:12 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*p + 25 = 0. Let k be (-5)\/p - 2*-1. Let a be (k\/2)\/((-2)\/(-4)). Is a less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u + 1. Let h(j) = 4*j - 7. Let f be h(6). Let l = f - 12. Calculate t(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**3\/7 + 18*y**2\/7 - 15*y - 297. Solve x(o) = 0.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -896*a - 7080. Give r(-8).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(5*f + 1 - 2 + 2).\nAnswer: 5*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 3*m + 4*z - 12, m - 2*z = 4. Let f = m - 10. Let n(g) = g**3 + 7*g**2 + 6*g + 4. Give n(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 9*w**2 - 2*w - 1. Determine i(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3378734 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 33, -3, 5, -9, 56 in increasing order.\nAnswer: -9, -3, 1, 3, 5, 33, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + m - 1. Suppose 3*r = -14 - 4. Let g = 7 + r. Let a(u) = -1 - g + 4 - 3. Give -3*a(b) + p(b).\nAnswer: -b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -470, -0.04, -4 in increasing order.\nAnswer: -470, -4, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 299942.73 microseconds in hours?\nAnswer: 0.000083317425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (41 - 40)*(1 - -2) + (-96)\/40\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/117 and 151\/5238?\nAnswer: 68094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -24*j - 11. Is n(-4) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -658499 + 581272 = -202*m + 2296879. What are the prime factors of m?\nAnswer: 7, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4)*(-9 + 9). Solve -u - 2*u - 9 = p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 14 + 94 = 0. Solve -a = -5*b + 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -12*c**2. Let b(n) = 417*n**2 - 1428*n + 1156. Let w(s) = -b(s) + 2*i(s). Suppose w(j) = 0. Calculate j.\nAnswer: 34\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/129?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 18. Let d = -1\/44 - -91\/132. What is the second biggest value in d, w, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 5*n**2 - 8*n + 7. Let o be (1 + (-19)\/7)\/(-10*32\/1120). Give c(o).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - z - 1 = 6, 0 = 5*j - 3*z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 1. Let f be a(-4). Find the common denominator of -4 + 10 - 4\/(-6) and f + 2 - (-147)\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + 1b?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -8*u**2 - 3835*u + 38665. Give t(10).\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/26 and (2\/(-16))\/((-178)\/(-26) + -7)?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20\/371367 + -15754502041\/3713670. Let w = q + 4246. Find the common denominator of w and ((-22)\/6)\/(2\/6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 g, and 1 w when four letters picked without replacement from {w: 9, p: 2, e: 8, g: 1}.\nAnswer: 84\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(7)*2)*-3.\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 21*k**2 - 269*k - 56. What is the ten thousands digit of u(32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8282403624 rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) -0.08 (b) 2\/3 (c) -1\/61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -10. Suppose 1 + 7 = a*k. Suppose -i - 8 = 5*w + k, 0 = -3*i + 4*w + 27. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -627.156 + 620. Let l = 7.1 + b. Let u = -0.056000336 - l. Round u to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 17864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 12:17 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15207 and 44799?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110000100 - -1101111?\nAnswer: -10100010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65306009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-2)\/(-6)*(-306)\/68.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -o - 4 - 1, 0 = o - 4*q + 5. Let u be -1 + 18 + 3 + o. What is the units digit of 1*u + (-12)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20 + 20 + 34*s + 0*s - s + 3*s + s + 1 - 1 + (-3 + 3 - 2*s)*(-3 + 1 + 3) - 3*s + 3*s - s.\nAnswer: 34*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2183711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z + 27. What is t(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from vhocl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -11*u + 41. Let i(o) = -6*o + 21. Let q(g) = 5*i(g) - 3*j(g). Is 9 a factor of q(30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1419 and 5863?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**3 + 46*s**2 + 24*s + 21. Let y be l(-11). Sort -74, -3, 0, y in ascending order.\nAnswer: -74, -3, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 8. Let c be q(5). Suppose h - 68 = c*h. Let n = h - -37. Solve -n*d = d - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2*r**2 + 1 + 2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2219\/245 + (8 - (-282)\/(-35)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288485097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -2*f**3 + 0 - 3\/2*f**2 - 9*f. Differentiate s(v) wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75602556?\nAnswer: 2, 3, 2100071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a millimeter in micrometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -34 and -2.6.\nAnswer: -36.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 + 4*c + 40. Let p be w(7). Is 2\/(8\/(-126))*p\/45 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 + 6.1. Put -3\/5, 0, n in descending order.\nAnswer: n, 0, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 times 507.46\nAnswer: 40.5968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15968 - -14\nAnswer: -15954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 134 and 110?\nAnswer: 7370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2 + (-7)\/(-2). Suppose 4 = -5*f + 4*u - 1, u - 15 = w*f. Sort 2, f, -4\/3 in increasing order.\nAnswer: f, -4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - a**2 - 5. Let w be c(0). Let y = 10 + w. Solve -4*k = -y*r + 37, 0*k + 13 = 4*k + 5*r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -3. Let w be 220\/165*(0 + 3). Let u be 70\/(-21) + 2\/w*6. What is the nearest to 3 in 0.3, z, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 103690 and 51845.\nAnswer: 103690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and (-80)\/(-8)*-1*-12?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*l**4 + 76*l**2 + l - 76*l**2 to b*l + p*l**2 + n*l**3 + t + m*l**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 - 164\/3. Factor -y*w + 1\/3*w**2 - 2\/3.\nAnswer: (w - 2)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.72857 - -1.73. Round w to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2 + 28*k - 52 = 0 for k.\nAnswer: 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -113*j + 1 + 1177*j - 460*j - 42*j. Let k(o) = o. Determine y(k(d)).\nAnswer: 562*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84 - -183. Suppose 5*n = 5*s + 336 + 99, -5*s = -n + w. Suppose 4*u = n - 16. Calculate the highest common factor of 17 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-160)\/(-56)*((-240)\/(-384))\/5?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102002 - 110?\nAnswer: -1102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3091 - 3092. Which is greater: -12\/1759 or a?\nAnswer: -12\/1759","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/8)\/(1 - 518895\/518904) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -0.826\nAnswer: 0.1652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/8 and -53\/204398.\nAnswer: 817592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -12*(0 + (-10)\/4). Let d(p) = -2*p**3 - 10*p**2. Let y(a) = -a**2. Let z be ((-12)\/54 - 140\/18) + 5. Give o*y(l) + z*d(l).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 35*n**2 + 2136*n + 57. Give r(-61).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 116000*((-6)\/2 + 2). Round w to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/13*w**2 + 16\/13 + 4\/13*w = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3639749410?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 1:33 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10703, 2, -2\/9.\nAnswer: -2, -2\/9, 2, 10703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2)**2\/(q**(-3\/5)\/(q*q*q**(1\/26)*q)))**(24\/7) assuming q is positive.\nAnswer: q**(11916\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11673, -11754, -11889, -12078, -12321, -12618?\n\"Answer: -27*w**2 - 11646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/5*(6 - 20 - -19). Solve q*f + 0 = 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**6)\/y**(-2\/43))**(-46) assuming y is positive.\nAnswer: y**(9798\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (351476\/(-164016) - ((-264)\/(-68) - 4)) + 2 and 24\/335?\nAnswer: 12060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -151*g**3*w**4 + 254*g**3 - w**4 + w**2 wrt w?\nAnswer: -3624*g**3*w - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-11) - -2808*(-55)\/27225?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10) + 51\/65)*(-25704)\/64260?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**6\/240 - 9*n**5\/160 - n**4\/32 + 37*n**3\/48 - 3*n**2\/2 + 286*n. Determine z, given that m(z) = 0.\nAnswer: -8, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*d = 21, 21 = 4*m - 0*d + 5*d. Let g = -0.4 + -4.6. Let p be (-94)\/(-221) - 204\/1734. What is the second biggest value in p, g, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*b + 42, -2*f + 10 - 34 = -12*b. Calculate the remainder when 24\/(-10)*(-25)\/1 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 27*c + 421 = 5 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47621851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -795 - -5140. What are the prime factors of u?\nAnswer: 5, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -156253110623.2265 - -157465150920.2264933. Let j = s + -1212040168. Let g = j + -129. What is g rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 10*g + 37. Let h be l(22). Suppose 298*y - h*y + 4263 = 0. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.70191 - 0.32429. Let m = u + 0.0262. Which is smaller: -21 or m?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -85, -88, -87, -82, -73?\n\"Answer: 2*w**2 - 9*w - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3*u - u)*(-30*u - 7*u + 10*u).\nAnswer: -54*u**2 + 54*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r + 2. Let d be c(-1). Let b be (-2)\/(-4)*32*22\/176. Sort d, 1, 7, b.\nAnswer: 1, b, d, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2802194004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 2)*(-3 - -4). Let x be (-2 + i + -1)\/(6\/(-4)). Find the common denominator of (56\/(-16))\/(9\/x - 2) and -1\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 + 9*v - 1. Let q(y) = y**2 + 4*y. What is 3*h(o) - 7*q(o)?\nAnswer: -o**2 - o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - t. Let i be (3 + (1 - 5))*5. Let x(y) = -7*y**3 - 7*y + 2. Calculate i*b(r) + x(r).\nAnswer: -2*r**3 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/7 + 322*f**2 + 624800*f\/7 - 5807232\/7.\nAnswer: 2*(f - 9)*(f + 568)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**(-44))**(-6\/29) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 79749 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 802103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + g**4 + g**2)*(-76*g - 1345*g - 843*g).\nAnswer: -2264*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3951670327 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 835732279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -120 + 128. Suppose 0 = -c*r - 14*r - 0*r. Solve -f - 4 + 7 = r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*x + 69 = -372*x - y, 11*x - 3*y - 213 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/18)\/((220\/30)\/22)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 317.871 rounded to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 2)\/((-2)\/(-1)). Suppose 4*i = -12, 4*k - 13 = -i - b*i. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5 = -3*l. Suppose 0 = -2*c - 3*p + 21, -4*p = -l*c - 3*p + 10. Solve -11 + c = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 380*a. Let q(t) = 256497*t. Give -1351*l(f) + 2*q(f).\nAnswer: -386*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 4*u**2 + u**2)*(u**2 + 0 - 16 - 10).\nAnswer: -2*u**4 + 52*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1, -11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2240 + -2236. Let m = 11.1 - 2.1. Is n > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -5*p**4 + 14532645*p**3 - 10559895801120*p**2 + 10559881268480*p = 0?\nAnswer: 0, 1, 1453264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1516?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15483216 a multiple of 1589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1467.54819 to the nearest integer.\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1829093237 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 8*q = 76. Suppose 163 = -2*j + q*j - o, -331 = -4*j - 3*o. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/4545 - -20545\/3636. Let f be -3882*(0 + 2\/(-4)). Let c = 11609\/6 - f. Find the common denominator of o and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -1767659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -21*i**3 - 3*i**2 + 17*i - 13. Let g(z) = -11*z**3 - z**2 + 8*z - 6. Determine 6*f(w) - 13*g(w).\nAnswer: 17*w**3 - 5*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1093, 2178, 3273, 4390, 5541, 6738, 7993?\n\"Answer: 2*v**3 - 7*v**2 + 1092*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) 2\/15 (b) 4 (c) -0.2 (d) 2\/17 (e) 0.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6484400987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 957662969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 1. Let o(w) = -20*w - 5. Determine -4*c(m) + o(m).\nAnswer: -24*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.375 in 3, -2\/7, 0.31?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 57382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1714 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1 = -5. Let f be (b + 9\/6)*2. Solve -k = m - f, -5*k + m = 9 + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 220*a - 3. Let c(x) = 20240*x - 275. Calculate 3*c(t) - 275*w(t).\nAnswer: 220*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752487.\nAnswer: 3, 250829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 + o**2 - o**2)*((2 + 4 - 4)*(5*o + 2*o + 2*o) + 0*o + 0*o + o).\nAnswer: 76*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 7)*(5 - 148\/28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*1.56.\nAnswer: -0.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2039 + 7?\nAnswer: -2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*z**3\/11 + 2*z**2 - 54*z\/11 + 18\/11.\nAnswer: 2*(z - 1)*(z + 3)*(7*z - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*a*j**6 + 69757*a*j**4 + a*j**2 + 37*a + 5*j**2 - j + 10 wrt j.\nAnswer: 720*a*j**3 + 1674168*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2934329 + 11854\nAnswer: 2946183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3404)\/(-92) + -14*(-30)\/(-4).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62.06 + -62. Let n be 1520\/585 - (3 + -1) - 32\/208. Which is the fourth smallest value? (a) -2\/5 (b) 0.2 (c) i (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from yoljjoyyojorqy.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 37*m**2 + 20*m + 498. Give z(36).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 7:07 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 12293325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 + 19. Let o = p - 59. Suppose w + w - o = 0. Solve 4 = -w*l + 5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283718118 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -424410.302071157 - -3\nAnswer: -424407.302071157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-eight sevenths of a week?\nAnswer: 54720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3 = 0, -2*a + 0*a = 4*t - 30. Let m = 44 - 30. Calculate the smallest common multiple of m and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a6 - 5?\nAnswer: -ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10486356061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.3664 decades in years?\nAnswer: 363.664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35333269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3*x**4 - 431*a**3*x**3 + 2*a**3*x + 3*a**3 - 225*a*x wrt x.\nAnswer: 12*a**3*x**2 - 2586*a**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 7*a**2 - 6*a - 3. What is t(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 2:57 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-5 + 1) - (13 + -22)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 smaller than -6.678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 4:06 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, 1, -14, -129 in descending order.\nAnswer: 98, 1, -14, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -28883\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/14)\/(-9*(-8)\/240). Let i(v) be the first derivative of -8\/21*v**3 - 1\/14*v**4 - 4 - y*v**2 - 4\/7*v. Factor i(w).\nAnswer: -2*(w + 1)**2*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 4. Let k(m) = 1169*m - 31. What is -8*b(u) + k(u)?\nAnswer: 1177*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 - 30*l**2 - 24*l + 61. Let a(k) = 3*k**3 - 59*k**2 - 48*k + 120. Let n(q) = 3*a(q) - 5*y(q). Give n(-26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*c = 2276 - 2924 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmataql. Give prob of sequence lm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 - 288*w**2 + 1880*w - 468. Give m(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 11. Let b be (-4)\/x + (-23)\/(-3). Differentiate -5 + b + 2*d**2 + 0*d**2 wrt d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20836, 40312, 59788?\n\"Answer: 19476*z + 1360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1332 or -1331?\nAnswer: -1331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2. Let o(r) = 177*r**2 + 4*r + 12. Let w(y) = -24073*y**2 - 543*y - 1629. Let t(f) = -543*o(f) - 4*w(f). Determine i(t(x)).\nAnswer: -32761*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/82800 and -73\/31050.\nAnswer: 248400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 4*b + 8 + 6, -v = 2*b + 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -17994 + 525448.4\nAnswer: 507454.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 363633 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2698618 - 848618. What is k rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i - 5. Let z = -6 + 11. Let q be j(z). Suppose q = -5*l + x - 15, -l + x + 21 = -5*l. Let b(r) = r - 2. Give b(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -20, w + w - 10 = 5*z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-five halves of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, k: 7, w: 1, q: 2}. What is prob of picking 1 q, 1 k, and 2 o?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1009 is divided by 300?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91\/(-26))\/((6020\/1760)\/(-43)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 + 107 = 3*i. What are the prime factors of (i\/9)\/1*459\/(-2)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -204\/29 less than or equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7656432 is divided by 166?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/12)\/((-52)\/(-1092)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0498 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -656*z = -653*z + 6. What is the common denominator of -37\/36 and 36\/216*(-1 - 299\/z)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0 (b) -11 (c) -3\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 991890707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51167 and 179759.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 95120 to the nearest 1000.\nAnswer: 95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -8 - 0 - 3 - (109 + -127)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (15 + 4 + 25 + -37).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14513?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*b = 77, -d - 4*b + 7*b = -4. Let p be 30\/(-4)*(d + -21). Suppose 5*r = p + 35. Calculate the lowest common multiple of r and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-9) + 494\/117. Solve -a + n = -h, 0 = 5*a + 4*n + n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -335*z + 262*z - 19710. Sort z, 4, 9 in descending order.\nAnswer: 9, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) -4\/5 (c) -2\/3 (d) -2\/1593\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgql when four letters picked without replacement from {q: 4, e: 1, l: 5, g: 1, n: 5}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k**5 + 71*k**4\/2 - 129*k**3\/4 + 35*k**2\/4 = 0 for k.\nAnswer: 0, 1\/2, 1, 35\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -l - 103, -5*y + 42*l + 38*l - 76*l + 112 = 0 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4455 or 4458?\nAnswer: 4458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*f + 22441 = 7450 for f.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-2\/3)*q))**(-42)\/((q\/(q*q**(-1)*q))\/q)**(-32) assuming q is positive.\nAnswer: q**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*j**4 + 2*j**3 + 12099*j**2 - 2*j - 13589598?\nAnswer: 84*j**3 + 6*j**2 + 24198*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l = -3*z - 112 + 19, 315 = 5*l - 15*z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (927*f + 2234*f - 1742*f)*(f + 5*f - 5*f).\nAnswer: 1419*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -25*m**2. Let x(u) = -29*u**2. Give x(i(o)).\nAnswer: -18125*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.3 - 5.7. Let v = -16.9 - i. Let m = 141\/4 + -35. Which is the closest to v? (a) m (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-3)*v**(1\/4)\/v)\/(v**1*v**(-5)))**0 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - -0.2. Let k = q - 0.5. Let d = -0.3988 - k. Round d to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 + 0 + 3 - (74 + -68))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -287232618*n**2*o**2 - 3128*n*o**2 + 22350*n*o + 2*o wrt n?\nAnswer: -574465236*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86652 is divided by 920.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d**3 - 3*d**2 + 5*d + 5. Suppose 19*j = 46*j - 540. What is the remainder when f(-4) is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6, 20, 34, 48?\n\"Answer: 14*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3646, 2\/11, 5, 1\/6 in increasing order.\nAnswer: -3646, 1\/6, 2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/758430 and -89\/1590.\nAnswer: 758430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -138*m + 155*m - 1122. Calculate the greatest common divisor of 165 and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3231479, -3231478, -3231477, -3231476, -3231475?\n\"Answer: z - 3231480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 8 = -10*g, -3*t + 4*g + 24409 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*q**6 + 6*q**2 - q**6 + q**6 + q**6 wrt q.\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -981990 - 213042 = 10302*m for m.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1618 (base 12) in base 6?\nAnswer: 20032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h - 20*h - 2 + 7*h)*(-10*h + 5*h - 8*h) to the form q*h**2 + i + n*h and give q.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.67 + -0.784. Round x to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**4\/12 + x**3\/2 - x**2\/2 - 15*x. Calculate b(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**4 - 7*l**3 - 25*l**3 - 24*l**5 - 16*l**2 - 19*l**4 + 20*l**5 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 738921381?\nAnswer: 2955685524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 t, and 1 m when three letters picked without replacement from jwjtqkktm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (34 + -46 - -7)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -2*i - 3*q + 12, -3*i + 12 = -5*q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9416974*u**4 - 949*u**2 + u - 199 wrt u.\nAnswer: 226007376*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(8) + (sqrt(8) - sqrt(32))*3))**2*-1.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10415 - -10378. Put -1\/4, 4, g, -0.4, 2 in descending order.\nAnswer: 4, 2, -1\/4, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-16) - 2\/8\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19426214*q**4 + 26*q + 292559?\nAnswer: -233114568*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*y, -5*u + 4*y = 2*y + 430. Let f be (8\/(-6))\/(8\/u). Suppose 0 = k + k - f. Solve -k = 4*s + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1734296*z**5 + 2*z**4 + z**3 + 3317281*z**2 wrt z?\nAnswer: -104057760*z**2 + 48*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 10*c - 7 - 3*c**2 + 2*c**2 + 2. Let q(z) = -2*z + 21. Let o be q(7). What is the remainder when 29 is divided by b(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and -49413796?\nAnswer: 49413795.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 227535 and 100023?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 times 0.44\nAnswer: -0.0704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 11:02 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (26\/8)\/((-25)\/(1800\/(-552)) - 8)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.048 + 3.952. Which is the second biggest value? (a) k (b) 1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - -37. Let p(z) = z**2 - 4*z + 6. Let n be p(b). Let d = 120 - n. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4*sqrt(275) - sqrt(275))**2.\nAnswer: 100*sqrt(11) + 6879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 54423, 108850, 163277?\n\"Answer: 54427*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005759 to six dps.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-573 - -555) + 8 + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -10*v**2 - v. Let r be k(1). Let s = -8 - r. Let d(p) = 2*p**2 - 3*p + 4. Is d(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2167 - -2997. List the prime factors of q.\nAnswer: 2, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 877 (b) 5 (c) 6 (d) -8.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + i**2 + 3*i + 9008. Let b be j(0). Suppose 0 = 3*l - b + 1148. What is the tens digit of 2\/(-12) + l\/24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**4\/6 - 7*h. Let n(o) = -6*o + 0*o + o + o. What is n(y(d))?\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 16 = -6*h. Suppose 3*d = -2*d, h*f = -d + 16. Suppose -2*s - 1 - 5 = 0, 2*s + 94 = f*j. Calculate the smallest common multiple of j and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5720 - 5703. Solve 29 = -x*t - 22 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 = -1. Let k = p - -6. Suppose 0 = 4*u + 9 - 29, 0 = 5*y - u. Solve y = -l - 4*o, -3*l - 3*o - 3 = -k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2668749 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: Solve 0 = -17*m - 57 + 40 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -1)\/2*3. Solve o + 3 = -2*m, b*m + 3*o - 2*o + 2 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 28 - 25 + 52)*(-2*z**2 + 4*z**2 - z**2).\nAnswer: z**4 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*u + 2*i + 41 = -60*u, 3*u - 2*i + 13 = 0. Sort -2, 268, u, 3.\nAnswer: u, -2, 3, 268","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/15)*d*d**(-3\/7)\/d*(d*d**(-2\/5))\/d**0*((d\/((d\/d**1)\/d))**(10\/3))**(9\/8) assuming d is positive.\nAnswer: d**(1583\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3994593, 7989233, 11983873, 15978513, 19973153?\nAnswer: 23967793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1339 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 8*g**2 + 4*g - 137. Let z(x) = 7*x**2 + 2*x - 142. Calculate -6*i(y) + 7*z(y).\nAnswer: y**2 - 10*y - 172","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.4233108um?\nAnswer: 0.0000004233108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -12, -9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 519103921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*u + 76 = -36, -127 = -4*n - u. Suppose v = 3*g - n, g = 5*v - 2*v + 3. Let d = -15 + 17. What is the lowest common multiple of d and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 5*n - 2. Let o be z(-6). Suppose 0 = -3*b + o*k - 15, -4*b - 2*k - 2*k + 8 = 0. Let a(i) = -192*i + 582*i - 199*i - 200*i - 1. Calculate a(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**5\/100 - m**4\/60 - m**3\/30 + m**2\/10 - 2*m + 1. Let u(n) be the first derivative of y(n). Factor u(v).\nAnswer: (v - 1)**2*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -893 or 245?\nAnswer: 245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 800413 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2 - k + 1. Let g be j(-2). Let w = -18 + 23. Calculate the highest common divisor of g and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.18 + -10.18. Let x = 11 + b. Let c = 0 + 0.1. What is the second biggest value in 4, x, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((4 + -4)\/1)\/(-1). Suppose 5*r - 281 = m, -3*r + j*r - 1265 = 5*m. Let u = 383 + m. What are the prime factors of u?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1147143, 2294270, 3441395, 4588518, 5735639, 6882758, 8029875?\n\"Answer: -c**2 + 1147130*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1110\/8 - (-3)\/12 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/9)*n\/(n\/n**2))\/(n**3\/n**0) assuming n is positive.\nAnswer: n**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p**(-2\/5)\/p)\/(p*p*p**(-7)*p*p))**(8\/11))**(-7\/2) assuming p is positive.\nAnswer: p**(-504\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 549+-1068432030\nAnswer: -1068431481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*a - q - 96, 5*q = 5*a - 125. Let r be 4*4\/((-16)\/(-45)). What is the remainder when a is divided by (72\/r)\/((-2)\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7998 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32935493021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icdr when four letters picked without replacement from wcircediciwi.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z + 1 - 5*z + 4*z. What is the lowest common multiple of 20 and x(11)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**5 + 9*m**4 - 15*m**3 - 9*m**2 + 12*m = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -31) + (-6 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 540703298 divided by -40198\nAnswer: -13451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 11.1. Let i = 6.9 - u. Let a = -1.5 + i. Round a to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30.59 - 10.41. Let y be 1*((-6)\/(-11))\/(-3). Which is the second smallest value? (a) x (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzzzx. What is prob of picking 1 x and 3 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*6*(sqrt(1872)*2 - sqrt(1872))*-1 + (-3*(-1 + sqrt(1872) + 5)*2)**2.\nAnswer: 3240*sqrt(13) + 67963","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - 3. Which is smaller: -0.1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*z - 2 - 18, -3*n + 3*z - 12 = 0. Let b be -2*(n + (-7)\/2). Solve b*g - 4*j = -32, -j = -2*g + j - 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0*v - 6. Suppose -16 + 2 = -v*y. Suppose -42 = -2*b + m, 2*b + 5*m - 26 = 2*m. Calculate the remainder when b is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192986879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-187128)\/(-3390)*(-5)\/(-6) + 0 + -9.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 18*a + 62. Calculate k(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, b: 1, e: 6, u: 3}. Give prob of sequence ube.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -2*o - 5, -3*o + 24 = -4*q + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-112)*438\/(-365).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 622209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -11. Suppose 2*s - 21 = -9. Let a(r) = -r + 7. Let i be a(s). What is the highest common divisor of i and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (36\/8)\/((-2)\/(-4)). Calculate the common denominator of o\/(-10) + ((-12)\/(-30) - 1) and -47\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2539534240 to the power of 1\/2, to the nearest integer?\nAnswer: 50394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23042565 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 2*p - 21 = 0. Calculate the smallest common multiple of 18 and (2 - p) + (66 - 17).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 4. Suppose 26 = 4*i + 3*d, -i - 3*d = -d - o. List the prime factors of 444\/16 - (-2)\/i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t**2 - 15*t**2 + 8*t**2)*(4*t - 2*t - t) + 5*t**3 - 3*t**3 + 0*t**3.\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -4092\/917969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 6*r - 7*r. Let m be 1 + 2*(2 - r). Let c be (-4 - m)*(-4)\/3. Solve v = 4*t - 4, v + t = c*t - 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54085?\nAnswer: 5, 29, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 - 2097)*(-72)\/90 is divided by 105.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1454 - -1449) + -4 + -2 + -1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 1. Let l be r(1). Suppose l*v + 8 = 2*v. Suppose -3*n + 218 - 33 = 4*p, 2*p = -v*n + 100. What is the highest common factor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**6)**20 assuming p is positive.\nAnswer: p**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2410 a factor of 359003240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -426*r - 4. Let o be n(-4). Let y be (-24)\/(-444) - 113\/37. Let i be (7 + -4)*o\/y. What is i rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -531 > -3713\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9263, -18509, -27755?\nAnswer: -37001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/9*3)\/(-2))\/(4509\/(-2004))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48f4 (base 16) in base 15?\nAnswer: 5801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 213 - 212. List the prime factors of y - (644\/(-5) + (-120)\/(-150)).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**2 + 670528*l - 28100487424 = 0. Calculate l.\nAnswer: 83816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 939, 940, 941, 942, 943, 944?\nAnswer: 945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -23. Let n(d) = -d**3 + 8*d**2 + 4*d - 5. What is the remainder when n(8) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/200*(-3)\/(-9)*186?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 10:17 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vvvsssvvsssvvvvsvvv.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 523088, 1046086, 1569084, 2092082, 2615080?\n\"Answer: 522998*b + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40\/69 - -4049\/276. What is the common denominator of w and (2\/(-48))\/(1\/74)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 869043.6 centuries in months?\nAnswer: 1042852320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103 - 59. Find the common denominator of -25\/4 and ((-42)\/(-70))\/(a\/230).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1795\/10716 + 13\/76. What is the common denominator of 56\/9 and m?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 68b1 - c1b?\nAnswer: 5c96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -13. Solve -g + 2*f - 24 = p*f, 0 = 5*g + 5*f + 45 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12a6466 + -5?\nAnswer: -12a6470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 181023487, 181023489, 181023491, 181023493, 181023495, 181023497?\n\"Answer: 2*j + 181023485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -90277, -180527, -270779, -361033?\n\"Answer: -b**2 - 90247*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, z: 4}. Give prob of picking 2 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 83\/(4980\/50)*(18\/80)\/(-3)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624 is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 + -29. Let f be 12\/l - 124\/(-7). Solve -m - f = 2*b - 5*m, -5*m = -b - 24 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**3\/15 + 189*z**2\/10 + 490*z + 1285. Factor o(d).\nAnswer: (d + 14)*(d + 175)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 5*t**2 - 3*t + 4. Suppose 9 = -v + 13. Let y be u(v). Suppose -150*b + y = -146*b. Solve 3*z - 14 = -0*j + 4*j, b*j + 12 = -z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166691 rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129 + 109*b + 111*b - 222*b.\nAnswer: -2*b + 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2328, -2321, -2308, -2289?\n\"Answer: 3*x**2 - 2*x - 2329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**8\/d**(1\/3))**(-30))**17 assuming d is positive.\nAnswer: d**(-3910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/15))\/(k\/k**8*k))**17 assuming k is positive.\nAnswer: k**(1802\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 1:16 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 10.0022. Round y to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15817a6 - a9?\nAnswer: -15818a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3230025 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -61487676.\nAnswer: -245950704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3 = -5*u, 4*g + 5*u - 17 = -6. What is the second derivative of -n + 0*n - 2*n + n**4 + g*n**4 wrt n?\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/3 + 0 + 1. What is the remainder when 5 is divided by -6*p\/(-12)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 2*b**4 - 41*b**3\/3 - 77*b**2. What is the remainder when d(4) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8205 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -1\/4 (c) 647 (d) 3 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6 - 2 - 5 + 3*b. What are the prime factors of x(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15872493061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/9)\/((-855)\/(-513)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 724 = -689 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -4. Let g be -1 - 5\/(-150)*33. Sort g, -1\/5, q.\nAnswer: q, -1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8965 and 29704785.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, w: 4, r: 1, x: 6}. Give prob of sequence ssr.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2009559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55420 and 2720?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -3. Let y = 11 - o. Suppose 5 = y*s - 23. Solve 3 = z + s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4*w - 18, -5*w = -5*v - 10*w + 30. Solve x - 5 = -v*n, -13 = -n - 5*x + 8*x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511076 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12528.4 + 12528. What is the closest to 13 in 1, g, 4\/3, 2\/19?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44234190 by 910.\nAnswer: 48609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - -1. Let u = -25 + z. What is the closest to 2 in -1\/6, u, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -8*b**3 + 5*b**2 - 25*b - 8. Let c be n(-12). Suppose 6*t + c = 10*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.049 - 0.259. Let p = 5.79 - z. Let f = 6.0000088 - p. What is f rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335851?\nAnswer: 263, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g - 10. Let c = -7 - -2. Let y be d(c). Let t be ((y - 18)\/3)\/(-2). Calculate the greatest common divisor of t and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -10000110?\nAnswer: -10001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -194 - -182. Which is the biggest value? (a) 0.4 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1436587 is divided by 279.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 11*y**3 + 3*y + 1. Let m(v) = -v**3 - v. Let h(n) = -3*m(n) - w(n). What is the derivative of h(p) wrt p?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 2\/25*y**5 + 6 + 0*y - 2\/45*y**3 + 2\/15*y**4 - 2\/15*y**2. Factor m(j).\nAnswer: 2*j*(j + 1)**2*(3*j - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6682.\nAnswer: 2, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*b + 9 = 0, -9*s + 15 = -5*s - 3*b. What is the units digit of (1152 - s) + (0 - (7 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -112271 + -5b?\nAnswer: -112310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -9 + 10 - -22.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18252, 37643, 57038, 76437, 95840?\nAnswer: 115247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7208602 divided by 12\nAnswer: 3604301\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4956 and 15.\nAnswer: 24780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + -2*sqrt(180) + -2 + -2*(sqrt(180) + 1) + sqrt(180) + -2*sqrt(180) + -5 + 4)**2*4 + 1.\nAnswer: 960*sqrt(5) + 11621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/((-156)\/(-1364331)) + 6\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1527 - -3?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 251 (c) 0.5 (d) 0.2 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 436114 to the power of 1\/2, to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12\/102 - -268*(-15)\/(-510)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + ((-4473)\/(-560))\/1 + (-32)\/(-1 + -15).\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15456025\/102 + 891371\/6. Let a = 2969 + t. Suppose a*m**4 + 0 + 74\/17*m**3 + 2\/17*m**5 + 72\/17*m + 120\/17*m**2 = 0. Calculate m.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 (base 7) in base 14?\nAnswer: a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*r - 24*r - 48. Let g(l) = -l**3 + l**2 - l. Let s(u) = 3*u - 5*u**2 + 11*u**3 - 4*u**3 + u. Determine r*g(m) + s(m).\nAnswer: m**3 + m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(3\/1) - 1. Let x(z) = -10*z - 2. Let l be x(t). Suppose 2*b + 2*b = l. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e1e0 (base 16) in base 4?\nAnswer: 132013200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + r**2 + r + 3. Let x be a(0). Let u = 464 + -456. Let o be u - (330\/42 + -3). Are x and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -14*a + 4. Let r(x) = 19*x - 1. Let u be r(2). Let m = u - 22. What is the remainder when m is divided by s(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, o: 1, w: 1, a: 1}. Give prob of sequence aw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -780800 or -780846?\nAnswer: -780800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 - 285*n**2 + 7456*n - 443. Give w(108).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 240 (base 8) to base 15\nAnswer: aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3056 + -3141. Put 1\/2, i, 1 in ascending order.\nAnswer: i, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/20 and -17\/9.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 5520.\nAnswer: -1\/1380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * -264.3.\nAnswer: -3435.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1308 - 1306. Let r(x) = 2*x + 0*x**3 + 8 - 4*x**2 - x**3 - x**3. Let y(w) = -2*w**3 - 3*w**2 + 3*w + 8. Let p(a) = m*y(a) - 3*r(a). Factor p(o).\nAnswer: 2*(o - 1)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 4*v = 5 - 37, -2*i + 4*v = -26 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {l: 4, y: 2, w: 8, j: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.47 times -0.429\nAnswer: 0.63063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 8. Let u(t) = t - 7. Let m(r) = 2*u(r) + 3*y(r). Suppose 12*g - 28 = 16*g. Let k be m(g). Sort 4, k, -1 in ascending order.\nAnswer: k, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -339977, -679986, -1019973, -1359926, -1699833, -2039682, -2379461?\nAnswer: -2719158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1352, 1291, 1230, 1169, 1108, 1047?\n\"Answer: -61*c + 1413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37\/3 + -61\/5. Let u be 2\/(-8) - (-1)\/36. What is the second biggest value in h, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6\/19*s**2 + 6\/19*s**4 + 0 - 2\/19*s**5 + 4\/19*s - 2\/19*s**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 446, 34, -626, -1534?\n\"Answer: -124*g**2 - 40*g + 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -136*d**2 + 270*d**2 - 168*d**2 - 1469 + 25*d**3 wrt d?\nAnswer: 75*d**2 - 68*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 16*h - 60. Let r(y) = 4*y**3 + 19*y**2 - 81*y + 4. Does 82 divide r(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*v, -3*v + 0*v = -2*m + 10. Suppose -x + 4 = -m. Let r(l) = l**3 - 6*l**2 - l + 4. Determine r(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2975000 - 2957543 = -253*j for j.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 78 + (-13 - (24 - 14))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + 0*m + 0*m + (0 - 1 - 3)*(2*m - m + 0*m) - 1 + 1 - 28*m + 115*m to the form o + d*m and give d.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*v**5 - 127*v + 127*v + 35*v**5)*((4 + 2 - 5)*(-1 + 5 - 3) + (0 + 1 - 3)*(-3 - 6 + 5)).\nAnswer: 549*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-3)\/(-2))*6402\/(-194)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, y: 2}. What is prob of sequence jy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 588 and 1470?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 9*f - 126 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/4 and ((-44)\/(-110))\/(32\/355*2).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/8 + ((-150430)\/3480 - -50) + -8.\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**4 + 9 + 9 + 3*x**3 - 5*x**4 + 5*x**4 - 2*x - 16 - 6*x**2 as f*x**2 + q*x**4 + n*x**3 + z*x + k and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-2 + 5) - (-3 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3584 + -3583. What is the nearest to b in 0.1, 3, 2\/13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(17))*1 + 6*sqrt(17)*2)**2.\nAnswer: -78*sqrt(17) + 2882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 10 = -4*t - 0*m, 2*m - 16 = -5*t. Let x = 361 - 202. What are the prime factors of (-3)\/t + x\/4?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*p - 243*p - 16137 = 268*p + 753*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2021 or 2028?\nAnswer: 2028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5265952529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -2\/53, 0.9 in decreasing order.\nAnswer: 2, 1, 0.9, -2\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8*14\/(-7)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -5020.\nAnswer: -5024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 2*j + 2. Suppose 0 = 4*t + 4*p - 64, -58*t = -53*t - 5*p - 60. Suppose -3*r - t = 5*d, 0*d + d + 4 = 0. Give h(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2700 and 318350.\nAnswer: 17190900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32208205 by 37495.\nAnswer: -859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -520 - -1310. Are c and 790 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 16206*c - 1. Let d(v) = 1929*v**2 + 2. Determine z(d(u)).\nAnswer: 31261374*u**2 + 32411","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.5494593\nAnswer: -1.0989186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.0916 - -10.091554943. What is h rounded to seven decimal places?\nAnswer: -0.0000451","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3046229 a multiple of 520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*n - 56 = 120*n. Let h be 496\/28 + 8\/n. Let q(d) = -2*d + h + 10*d - 8*d + d. Determine q(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8297432.025 + -8297539.025000502. Let b = j + 107. What is b rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 90 - 106. Suppose 6 = 3*s, 33*m - 2*s - 180 = 37*m. Let x = m - a. Solve 5*z = 3*f - 3, -3*f - x*z = 2*f - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5340954*k**6 - 5*k**2 + 2*k + 6910687 wrt k.\nAnswer: 640914480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -6 + 34. Suppose 11*s = w*s + 12. Suppose 5*t - 5 = 0, i + 122 = s*i - 2*t. What is the remainder when i is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/3 + (-2)\/6. Let b be (-2)\/(-8) + 0 + (-31)\/(-4). Sort g, -2, b.\nAnswer: -2, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -264 or -265?\nAnswer: -264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-six fifths of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -226 + 232. What is the smallest common multiple of 258 and t?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -37246 + 5?\nAnswer: -37241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -240, -973, -2194, -3903, -6100, -8785, -11958?\n\"Answer: -244*c**2 - c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + t + 24 = -55, -5*j + 4*t - 191 = 0. Let c = 8 + -14. Let s be (-126)\/(-26) + c\/j. Solve -s*d + 4*z = -21, -2*d - 2*d - z = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3875?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37565*z**2 - z + 1585 wrt z.\nAnswer: 75130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/88 and -51\/4246?\nAnswer: 16984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2. Let u = 12 + -10. Let j(c) = 36*c - 36*c + 4*c**u. Give j(d(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7954*i**3 + 512*i**2 + 1295*i**2 + 2 + 774*i**2 - 394*i**2 - 7955*i**3.\nAnswer: -i**3 + 2187*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*y = -79 - 184, 0 = 4*h + 3*y - 208. Solve 0 = -h*i + 43*i + 72 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvvqdcd. Give prob of picking 1 c and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1695.\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/7352 and -127\/181962.\nAnswer: 727848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15182960 divided by -3036592\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 u when three letters picked without replacement from oorourukokuouguoonou.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7469 divided by -679?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 20.9 (b) -12\/131 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjkjkfkgjv. Give prob of picking 1 v and 1 g.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 89*s**2. Let n(v) = 5 + 16 - v - 19 - 2. Calculate k(n(l)).\nAnswer: 89*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -23*r**2 - 586*r - 7827. Let x(u) = -11*u**2 - 292*u - 3914. Let y(j) = -6*w(j) + 13*x(j). Solve y(d) = 0 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5 + 304464*p**4 + 4871002*p**3 + 13699116*p**2 - 49317984*p = 0. What is p?\nAnswer: -152216, -9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 81 + 44. Suppose 11 = 3*l - 2*y, 0*l - l = -5*y - 21. Let u = l - h. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9532, -2, -31, 2 in descending order.\nAnswer: 2, -2, -31, -9532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -288*r**2 - 18*r + 10. Let c(p) = 192*p**2 + 12*p - 7. Let t(v) = -7*c(v) - 5*h(v). Is t(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(9)\/sqrt(3)) - sqrt(20))\/(sqrt(640) + sqrt(640)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**2 + 3*y + 1. Let d be (3 + -3 - -3)\/(-3). Let u(b) = 13*b + 8. Let w be u(d). Let g(f) = 6*f**2 - 4*f - 2. Give w*s(p) - 4*g(p).\nAnswer: p**2 + p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 169985687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -643551.3.\nAnswer: -643551.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 5*y - 944, -15*u + 13*u + 964 = 5*y. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-7))\/2)\/((-28)\/(-56))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**4*j - 76*i**4 + 285*i**3*j + 1887*i**2*j + 3*i**2 + i - 2*j wrt i?\nAnswer: 72*i*j - 1824*i + 1710*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.653 - -6.653. What is the nearest to -2\/7 in 2, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/14 - (-9936)\/14. Suppose -5*q = -3*i + l, -i - 475 = -3*i + 5*q. Suppose -4*c + i = c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 202, 626, 1246, 2044?\nAnswer: 3002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553.3 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*12\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3042192 - 353?\nAnswer: 3041839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - 10256?\nAnswer: -10265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 27.9. Let c = 0.9 - v. Let h = 3 - 2.7. What is the closest to 1 in c, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4\/561933883?\nAnswer: 4\/561933883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**4\/5 + 202*q**3 + 2502*q**2\/5 + 496*q\/5 - 200 = 0.\nAnswer: -250, -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*v + 1 = 3*v, 4*w + 10 = 2*v. Let f be w\/(-7) - (-256)\/(-798). What is the third biggest value in -2\/3, f, 1\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-52)*(-4225)\/(-650).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*n**2 + 252*n - 536 = 0. Calculate n.\nAnswer: -67\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 36994?\nAnswer: -5\/36994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.19557 to 1 decimal place.\nAnswer: -21.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7491 - -5?\nAnswer: -7486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3039*z + 63 = -5*p + 3037*z, 2*z = -p - 19 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jttttttttttjtttttj. What is prob of sequence jtjt?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s = 57. Let l = -23 + s. Suppose 0 = -5*c - 9 + l. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - l + 5*l + 32, 5*z - 2*l = -10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -405 + 869. What is the lowest common multiple of f and 128?\nAnswer: 3712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from {e: 1, f: 1, q: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + c**2 + 0*c + 3*c + (-3*c**2 + 4*c**2 - 4*c**2)*(-1 - 5 + 4).\nAnswer: 7*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128741 is divided by 25338?\nAnswer: 2051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 114 and -0.04.\nAnswer: -4.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2130 and 815151.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - y**2. Let b(z) = -4*z**3 - 6*z**2 + 4*z - 3. Suppose 5*f - v - 9 = 0, 10*f = 11*f + 2*v + 7. Determine f*b(a) - 6*r(a).\nAnswer: 2*a**3 + 4*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*b - 3*b - 2*n, -5*n = 5*b + 30. What is the second biggest value in -2, -4, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(4*sqrt(1000))*3.\nAnswer: 3*sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + a - 4. Let p(v) = 2*v**3 + 70*v**2 + 68*v - 9. Let d(i) = 2*h(i) - p(i). What is the second derivative of d(g) wrt g?\nAnswer: -12*g - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -31004721, -31004706, -31004691?\n\"Answer: 15*g - 31004736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -1 (c) 142 (d) -0.2106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -3*u + 5*f - 96, f = -5*u - 279. Find the common denominator of 29\/2 and (-467)\/(-56) + (-16)\/u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 425687\/18 - 23648. Calculate the common denominator of k and 25\/7356.\nAnswer: 22068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*b + 35 + 73*b - 18 - 17 to the form s + r*b and give r.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/(-54) + (-2)\/9. Put i, -4, 3, 2 in ascending order.\nAnswer: -4, i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.622347l?\nAnswer: 8622.347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 7:54 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -16. Suppose k - 6 = -i. Solve f + i = -1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5 - 3 = 0. Suppose -2*w = 20 + u. Let q = 12 + w. Put q, -1, 4 in ascending order.\nAnswer: q, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79356 is divided by 25831.\nAnswer: 1863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**3 + 3*o**2 + 2*o + 4. Let f = -90 + 99. Let m(j) = -4*j**3 - 7*j**2 - 5*j - 9. Calculate f*v(w) + 4*m(w).\nAnswer: 2*w**3 - w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323396951?\nAnswer: 23, 29, 484853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11958, -11970, -11996, -12042, -12114?\nAnswer: -12218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 + 1538 - 2*q**2 + 13*q**2 - 7*q**2.\nAnswer: -q**2 + 1538","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -638*m**2 - 8*m + 8. Let g(p) = 153759*p**2 + 1926*p - 1926. What is -4*g(n) - 963*q(n)?\nAnswer: -642*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.082 (b) -0.07 (c) 1\/7 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-14)\/6 - -2) + (-60480032)\/(-96). What is t rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8135, 16282, 24429?\n\"Answer: 8147*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40714*d*h**4 - 10*d*h**3 - 13*d*h**2 - 603*d + 3*h**4 - 11*h**3 - 343*h**2 - 3*h - 1 wrt h.\nAnswer: -977136*d*h - 60*d + 72*h - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330*y + 1002*y - 334*y - 338*y + 36*y**2.\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.08 - -64.58. What is g rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**2\/2 + 428133*w\/2 - 8988147 = 0. What is w?\nAnswer: 42, 142669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -47.3243389.\nAnswer: -51.3243389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 3:09 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55002, 110018, 165034, 220050, 275066, 330082?\nAnswer: 385098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 8 + 16 = 0. Factor -2*t**5 + 9*t**3 + 37*t**2 - 20*t**2 - 41*t**2 + 2*t**y + 7*t**3.\nAnswer: -2*t**2*(t - 2)**2*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, d: 2, z: 1, u: 4, e: 1}. What is prob of sequence sdd?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1213662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -10180*h + 71098. Calculate g(7).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 12\/25 of a millimeter?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*j - 832 = -4*q, 2*j - 418 = -2*q. Let b = -133 + q. Suppose v = -0*v - s + b, -2*v = -s - 141. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 939*k = 937*k + 10. Solve -5*c - 3*g = -3, -k*c + 0*c = -4*g + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.5, -30, -17, -1\/4, 0.2 in increasing order.\nAnswer: -30, -17, -5, -0.5, -1\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6907*i**3*m**3 + i**2*s**2 + 2*i*m**3*s**2 + 21*i*m**2*s**2 - 30*i*m*s**2 wrt i.\nAnswer: -41442*i*m**3 + 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1022, -3724, -8254, -14636, -22894, -33052, -45134, -59164?\nAnswer: -75166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 3 (c) 156089 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 40*v + 102. Let z be g(20). Solve -3*h - 96 + z = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 4421.\nAnswer: 1\/4421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 92?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 100 - 100.3. Let m = -0.74 - u. Which is the nearest to -1? (a) m (b) -2\/3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zziz when four letters picked without replacement from {i: 10, z: 10}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73.4 + 70.4. Which is the nearest to -2\/15? (a) 9 (b) 2\/7 (c) h (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 0, 0*j + 18 = 3*j + 2*u. Find the common denominator of (-865)\/336 - j\/(-14) and 77\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360424949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 213442576?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h**2 - 4*h + 6. Let v = -5 + 9. Let k be 8\/10*30\/v. Let x(a) = 3*a - 5 + 4*a**2 + a - a. Determine k*x(d) + 5*s(d).\nAnswer: -d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/5 + 19*k\/5 - 92\/5.\nAnswer: (k - 4)*(k + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6978 less than 6977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11059513?\nAnswer: 1279, 8647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387*d - 10070 + 2583 = 7855 + 138 for d.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -259877*z - 8650. Is f(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6 + 15)*(68*g**2 + 3*g**2 - 13*g**2) + (-g**2 + g**2 + 2*g**2)*(-4 - 2 + 4) as h + b*g**2 + m*g and give b.\nAnswer: 634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.26 and 15435?\nAnswer: 96623.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2*r + 10 = 0, 12755*r - 12751*r = -2*i - 18 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3023922323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -3541 (c) 24 (d) -2\/7 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27b3 + -3?\nAnswer: 27b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -1. What is the least common multiple of w and (-5)\/(-3) + 4\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**2 + 102*d - 89. Give z(33).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**6\/120 - d**5\/12 - d**4\/24 - d**3\/6 - 38*d**2 - 2. What is l(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 4)*(20*w + 98*w + 57*w) + (-3*w + 4*w - 3*w)*(0 + 1 - 2) - w + 0 + 0 - 2*w + 4*w - 4*w + 1 - 1 - 2*w to n + c*w and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v. Let j(z) = 102*z - 236*z + 160*z - 276*z - 243*z. Calculate j(s(y)).\nAnswer: -986*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 314.8325 litres to millilitres.\nAnswer: 314832.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -0.3135\nAnswer: -0.03135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9385, -9246, -8867, -8128, -6909, -5090, -2551, 828?\nAnswer: 5167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (9\/270*100)\/(((-175)\/30)\/(-7))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**2 - 3. Let a(y) = 194*y**2 - 101*y**2 - 94*y**2. Calculate 2*a(j) - s(j).\nAnswer: j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1368)\/(-14))\/(219630\/(-256235))?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(-28) + (-1)\/(-4). Suppose h = -3*b - b. Let x(y) = y**3 - y**2 + 21. What is the tens digit of x(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16094 + 32190 - 16096 + 79*l - 84*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2. Let b(d) = 2*d + 2. Let w(f) = -b(f) - j(f). Let q(k) = 17*k**2 - 2 + 2. Give w(q(r)).\nAnswer: -34*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -61738.576?\nAnswer: -6173.8576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4 = -2. Let j(d) = 36*d**3 - 6*d**2 - 8*d + 5. Let c(w) = 36*w**3 - 5*w**2 - 7*w + 4. Let n(y) = a*c(y) + 5*j(y). Is n(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 4*u + 12. Let j be b(8). Let w = j + 223. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91 + 91. Suppose -24 = -3*d - g. Solve 0 + 40 = -d*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-9\/4)*p**0*p**(-2\/19)\/p**(-9\/5) assuming p is positive.\nAnswer: p**(-211\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/r**(-3\/5))*r**(1\/2))\/((r*r**8*r*r)\/r**(1\/2)))\/((r**2\/r)**(3\/10)*(r*r*r**8)\/(r\/((r\/r**(-2))\/r)*r)) assuming r is positive.\nAnswer: r**(-199\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 313154*i**4 + 19*i + 63089 wrt i.\nAnswer: 3757848*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l**5\/3 - 2500*l**4 - 25412*l**3\/3 + 111352*l**2 - 171294*l - 58212 = 0. Calculate l.\nAnswer: -9, -2\/7, 3, 539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 85562282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/11 and -209\/15282750.\nAnswer: 168110250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 3157366.\nAnswer: -11\/3157366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 6*f**2 - 5*f + 3. Let h be c(4). Let y(q) = q**2 + 5*q - 28. Let j be y(-14). Let x = h - j. Calculate the remainder when x is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2, -6, 0.12, 1842?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2246293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u + 0*u - 3*u + 6*u + 2*u. Let c be 2\/2 - 1 - -1. Let j be y(c). Put -4, -2, j in descending order.\nAnswer: j, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times 43\nAnswer: -30.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -117838 + 172237. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2791\/2 - 16697\/12. Let t = -8009\/34710 - 3\/1157. What is the common denominator of z and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 9. Let m(r) be the first derivative of r**3\/3 - 4*r**2 + 3*r - 3. Let y be m(5). What are the prime factors of d(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2785 - -1837. Let s = i - -188. What is s rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 476946, 476946, 476944, 476940, 476934?\nAnswer: 476926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 41*y**2 + 187*y - 42. Calculate w(-5).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -697, -1396, -2095, -2794?\n\"Answer: -699*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (26 - (18 + 136) - -16)) + (-16 - -2).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + sqrt(80)*-2).\nAnswer: -48*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 + 39. Suppose 2*l - 31 + 63 = 0. Let a = l - m. What is a rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*z - 9*z**2 + 27*z**2 - 124*z to the form c + o*z**2 + a*z and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**2\/2 - 13*o - 1. Let x(j) = -j**3 - j**2 + 138*j - 55. Let q be x(11). What is r(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156882?\nAnswer: 2, 3, 11, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -54*c**3 + 15*c**2 - 35*c - 246. Give q(-4).\nAnswer: 3590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76119.35ml to litres.\nAnswer: 76.11935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219 - 219 = 3*z + 5*s, 0 = z + 4*s + 7 + 3 - 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296*d - 2 = 2*k - 292*d, -d = 4*k - 3. Sort 0.4, -3, k, -2\/7, 2\/21.\nAnswer: -3, -2\/7, 2\/21, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/1 + -1 - 2. What are the prime factors of o\/6*15*-2?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/145 in -2\/7, -3\/4, -3\/7, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 9710736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x**2 - 9 - 13 - 16 - x + 35. Is h(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -263*t**6\/3 - 15*t**2\/2 + 45*t + 1275. What is the second derivative of v(r) wrt r?\nAnswer: -10520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 0*d + d**3 - 43 - 246168*d**2 + 2*d + 246137*d**2. Determine r(31).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 + 35*z + 53. Suppose 0 = -4*b + 5*a - 79, -4*a = 9*b - 8*b + 4. Let p be j(b). Let g(k) = k + 4. Calculate g(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-14)*(-1176)\/1260.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11192.72 from 11.\nAnswer: 11203.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 - 20*i**3 - 6*i**2.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -144 + 123. Let m(i) = i**3 + 20*i**2 - 20*i + 33. Let b be m(h). Calculate the greatest common factor of 108 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p + 1. Let b = 80 + -63. Let k(c) = 9*c + 3. Calculate b*y(j) - 6*k(j).\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (279\/(-155))\/(9\/(-30)). Solve -7 = -p*z + 23 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.9 - 0.6. Let m = y - -2.4. Which is the third smallest value? (a) 1\/2 (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 957*a**2 - 15*a - 88. Let t(v) = -137*v**2 + 2*v + 12. Determine -2*m(r) - 15*t(r).\nAnswer: 141*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1))**27*k**(-9)\/(k\/(k\/(k*k\/k**5))) assuming k is positive.\nAnswer: k**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - -0.1. Let l = b - -0.7. Is l >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -849 = -43*v - 213 + 611 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/14 - 46\/14. What is the third smallest value in q, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j - 22*j = -132 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**8\/112 + 5*j**7\/14 + 21*j**6\/4 + 81*j**5\/2 + 1485*j**4\/8 + 1053*j**3\/2 + 6*j**2 + 751*j. Factor n(o).\nAnswer: 3*(o + 3)**4*(o + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 267*g**2 - 6*g - 1. Let v(z) = 535*z**2 - 14*z - 3. Calculate -5*n(k) + 2*v(k).\nAnswer: -265*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207429 - 4*j**3 + 7*j**3 - 207429 - 6*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -30, -34, -22, 12?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 9. Let g(h) = -h - 1. Let b(v) = -4*g(v) + t(v). Let r = 64 - 39. Suppose -r = s - 6*s. Give b(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81*0.222.\nAnswer: 17.982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 69.\nAnswer: 0, 5, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-4)\/(-72)*-3*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**4\/4 + 1733*m - 4. Let x(g) = -59*g**2 + 1 - 1. Calculate x(u(k)).\nAnswer: -531*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*l + 10457 = -3572 + 1219 for l.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 42 + -68 + 2\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**2\/7 + 200*g\/7 + 4488\/7 = 0.\nAnswer: -66, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 1 + (-115)\/(-8 - -3). Suppose 13*s + 224 = y*s. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*(1 + (2 + sqrt(128))**2 + -1).\nAnswer: 128*sqrt(2) + 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -2) + 0 + -5. Let d(j) = 53 - 26 - j**3 - 2*j - 26 - 4*j**2. Calculate d(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92 - 104 - (13 + 5 + 5 + -7)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 249? (a) 2 (b) 1\/5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/11 - 883756*y - 9721314\/11.\nAnswer: -2*(y + 1)*(y + 4860657)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 2*z - 1. Let b be l(-3). Let y(x) = -x**3 + 3*x**2 - x. Let h be y(b). Differentiate -1 - 5*t**h + 5*t**2 - 2*t**3 with respect to t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1450367?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5*360.66\nAnswer: 1803.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**5\/60 + p**4\/3 + 13*p**3\/6 - 16*p**2. Calculate the least common multiple of a(-9) and 26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*m**5 - 22*m**3 - 234*m**2 - m.\nAnswer: 420*m**2 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*j - 21, 0*j - j + 33 = 5*t. Let r = -79020 + 79025. What is the nearest to t in 0.1, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 752*b**2 + 668*b - 652. Let s(u) = 63*u**2 + 1. Let w(r) = n(r) - 12*s(r). Let w(z) = 0. What is z?\nAnswer: 1, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q. Let r be i(-4). Sort 11, 2, r.\nAnswer: r, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -4097 (c) -5\/4 (d) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c**2 + 63*c - 2295. Let p be z(15). Find l such that -6\/5*l**2 + 8\/5*l + p - 2\/5*l**3 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 6 = -5*t, 0*f - 4*f = -2*t + 12. Solve 4*m + 12 = 2*z, t = 8*m - 7*m + 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1739 and 611?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 18*g + 7. Determine i(17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*g**2\/11 + 1264*g\/11 - 280\/11.\nAnswer: -2*(g - 70)*(9*g - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 0.5 (c) 24 (d) 0.1 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 0 + 2)*1\/(-2). Solve -5*x - 7 + 2 = -5*d, v = 5*d + 2*x - 33 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**2 - 2. Let r(b) be the third derivative of 0 - 3*b**2 + 1\/20*b**5 + 0*b**3 + 0*b**4 + 0*b. What is r(o(i))?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 31*a - 721. Calculate m(23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30.7 + 31. Let n = -16 + 206\/13. Put z, -0.6, n in descending order.\nAnswer: z, n, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/((-10206)\/(-9)))\/(42\/(3528\/35))\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2\/13, 485, 3, 94\/11?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrlpllllrllplhll. What is prob of sequence lpl?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54501598 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/(-72) + 34\/(-9). Let n be (-102)\/(-18) - v\/(-6). Solve 0 = -2*b + 5*s - 29, 25 = -n*b + 2*s + s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**(-3\/4)))\/q)\/(q*q**(3\/8)\/q*q))**(4\/5) assuming q is positive.\nAnswer: q**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2. Let y(f) = f**3 + 10*f**2 - 5*f - 11. Let c be y(-11). Let z = -59 - c. Let v(h) = -7 + 9 + z*h - 2. What is v(x(n))?\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2011110 (base 3) to base 11.\nAnswer: -1205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 315\/252*(3 + 13)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 1)*(-24)\/16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 16*y**5 - 340*y**4 + 692*y**3 + 4972*y**2 - 10740*y + 5400 = 0.\nAnswer: -15\/4, 1, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -388967\/2377080 + 304\/6603. Find the common denominator of q and -27\/44.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, 0.3, 5\/2, 0.9?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12484861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1280, 1527, 1772, 2015, 2256?\nAnswer: 2495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -132 - 62.21.\nAnswer: -194.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -894154, -1788310, -2682468, -3576628?\nAnswer: -4470790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 72 - 4712?\nAnswer: -4630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 4:00 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 139251713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*s - 2 + 2 + 106*s**6 + s**2 + 8*s + 56*s wrt s.\nAnswer: 12720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -33 + 22 - -16.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**2)\/p)\/p*p**(-5\/3)\/p)\/((p**(-1\/2)\/p)\/p)**(-29) assuming p is positive.\nAnswer: p**(-469\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14820 and 53621724.\nAnswer: 268108620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17320, 17269, 17218, 17167, 17116, 17065?\n\"Answer: -51*s + 17371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 169200*s**2 + 23*s + 14. Let p(v) = 84600*v**2 + 11*v + 7. Let n(a) = -9*p(a) + 4*z(a). Let c be n(-1). Round c to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 5 + 8 + -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.29642 seconds to milliseconds.\nAnswer: 79296.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -93, -170, -237, -294, -341, -378, -405?\n\"Answer: 5*f**2 - 92*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 3*h + 7. Let s be m(4). Suppose 0 = s*d - 5*d + 4. Suppose -5*w + d*g = -57, w - 1 - 5 = -5*g. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1270\/(-2 - (-33)\/18). Let s be w\/36 + 2*-1. Let d = s + 195. Calculate the common denominator of d and -12\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -0.0522827.\nAnswer: 0.9477173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000136498 to seven dps.\nAnswer: -0.0001365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -0*l - 195. Let d = 85 + l. Calculate the remainder when d is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 0*l + 14. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*r - 13239 = 18884, -32119 = -m - r. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 10 = -5*n. Solve 0 = -5*a + 5*o - 45, 3*a + 0*o + n*o = -7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 1.12, 11.3?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 244284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14850 by 113.\nAnswer: -14850\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*p + 59*p + 112*p in the form j*p + w and give j.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -13. Suppose 1 = -q*m + 27. Find the common denominator of m and 15\/17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 54\/(-36) - (-3)\/1. Put 1\/5, -4\/5, r in decreasing order.\nAnswer: r, 1\/5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43540?\nAnswer: 2, 5, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d + 9. Let m(u) = u - 1. Let v be m(3). Let z be v*1\/(-3)*6. What is the units digit of t(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.92 - 2.46.\nAnswer: -33.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(832) + (5*-4*sqrt(832))**2).\nAnswer: -1664000 - 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.235160726 + -0.264838994. Let h = a - -5.5. Round h to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*k - 3*a, 3*k + 0 = 2*a + 34. Let x be ((-10)\/(-3))\/(k\/15). Suppose -2*c - 54 = -5*l, -x*l + 4*c = 6 - 64. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 230\/10 + (-27)\/(-45)*-30 + 32?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5254 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 246\/(-1845) + 154\/30. Suppose 3*l - 3 + 18 = 0. Put b, l, 2 in ascending order.\nAnswer: l, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1677.583675 and 5572.\nAnswer: 7249.583675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 13*j**2 + 70*j + 72. Let i(r) = -29*r**2 - 138*r - 144. Let g(l) = -7*c(l) - 3*i(l). Factor g(d).\nAnswer: -4*(d + 1)*(d + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79376 - 29*l - 79376.\nAnswer: -29*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 + 4 - 4 + i**2 + i**2 + 0*i**2 + (0*i + 0*i + 2*i)*(2*i + 1 - 1) + 121*i - 243*i + 27*i**2 + 121*i as g + n*i + t*i**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 61698.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21651532 - 154?\nAnswer: 21651345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + -3 + 0 + -1. Let p be (n - -9)\/(2\/(-18)). Let z be (-2)\/p + (-356)\/(-18). Solve 3*j + j + z = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -13*c**3 + 409*c**2 + 661*c - 47. What is t(33)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.049 + 0.509. Let n = 0.04 + d. Let l = -0.3 + 0.1. What is the closest to 1 in l, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 - 6*g**2 + g**2 + (0 + 0 + 2*g)*(3 - g - 3) + 76*g - 17*g**2 - 76*g as s + q*g + i*g**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 7*h - 3. Let v be s(-8). Solve -v*y + 8 = -m, -y + 3*y = m + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19789 - 19789 + 6*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 13 = -6*n - 2*o, 3*n = -4*o - 5. Let w(t) = -t**2 + t - 2. Let c be w(1). Which is greater: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81.3 - -81. Let r be 3 + (-105)\/33 + (-96)\/(-286). Put u, -17\/3, r in ascending order.\nAnswer: -17\/3, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -19 - (-14 + 6 + 3 - 5)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 286 - 217. Suppose 4*t - a = 15. Calculate the highest common factor of t and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 8*s + 15. Let u be p(6). Solve -2*i = 2*b + 8, 7*i - 2*i - 4 = u*b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2. Let t(g) = -2*g**2 - 4*g - 3. Let k be 12\/9 - 1\/3. Let n(f) = k*t(f) + 4*d(f). What is the units digit of n(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 0*x - 3*x + (3 - 3 - 1)*(2 - 2*x - 2) + (-158*x - 107*x + 156*x)*(-2 - 1 + 0).\nAnswer: 326*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2307*o + 117008 + 118801 = -1830*o for o.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.15 and -19.\nAnswer: -19.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 135870 divided by 647\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3607.4 to the nearest 10.\nAnswer: 3610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, j: 1, y: 4}. What is prob of sequence yjz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 164 + -113. What is the remainder when x is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6246 - -6268 - (0 - -62)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -c + 92, -2*u = 4*c - 34 - 490. Calculate the greatest common factor of c and 12288.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 - (-405)\/(-63)) + (-3)\/(-7). Let i(d) = -4*d - 6. Let c(l) be the first derivative of 3*l**2\/2 + 5*l + 1. Determine h*i(n) + 3*c(n).\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**4 + 11487*g**3 + 570066*g**2 = 0. Calculate g.\nAnswer: -49, 0, 3878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyg when three letters picked without replacement from yoyyogoyoy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1049 divide 14497180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2891 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**2 + 31*j + 389. What is v(14)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/16*(-1 + -1). Is -1 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**3 + 124078*h**2 - 124078*h**2.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*f - 292, -4*r - 4*f = -5*r - 156. Let v(d) = -d**3 - 8*d**2 - 8*d + 6. Let h be v(-7). Let w = h - r. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**6\/160 - 23*i**5\/80 + i**4\/32 + 23*i**3\/8 + 870*i**2. Factor u(k).\nAnswer: -3*(k - 1)*(k + 1)*(k + 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 3:45 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 2*g**2 - g + 15. Let z be b(4). Find the third derivative of 26*i - 21*i**5 - 2*i**2 - 11*i**5 + z*i**5 wrt i.\nAnswer: 660*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 + (6 - 13) + 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -32359?\nAnswer: -32359.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 598*x**3 + 4*x**2 + 37*x - 80. Does 102 divide c(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8*f + 3. Let r = -11 + 18. Suppose -9 = 2*s - 4*w + r, 6 = 2*w. What is k(s)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 - 28*o + 503. Let i(v) = -2*v**2. What is c(i(h))?\nAnswer: -8*h**4 + 56*h**2 + 503","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19094, -152749, -515506, -1221917, -2386534, -4123909?\n\"Answer: -19092*u**3 + u**2 - 14*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/28)*i)**2\/((i*i\/(i*(i\/(i**36\/i))\/i))\/(i\/i**(9\/5))) assuming i is positive.\nAnswer: i**(-2421\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z**4 - 3622*z**3 - 7247*z**2 - 3624*z = 0. What is z?\nAnswer: -1, 0, 3624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 31298.\nAnswer: 187788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2692*d = 518*d + 181*d + 6782 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2304, -2305, -2308, -2313?\n\"Answer: -o**2 + 2*o - 2305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (14*69\/26404)\/((-79)\/(-316))?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + ((-1)\/2)\/(5\/118). Which is bigger: p or -17?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > -17137592?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b*b**(4\/7))\/b*b*b**(-1)*b)**29*(b*b*b**(-1)\/b)**(-8)*(b*(b**(-2\/7)*b)\/b*b)**(-7) assuming b is positive.\nAnswer: b**(641\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -728 - -741. Calculate the highest common divisor of w and 208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -11*i**2 - 419*i - 11. What is r(-38)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16.29*5\nAnswer: 81.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17908)\/(-1628)*1\/33*(430 - 1)?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 402, -0.1.\nAnswer: -0.1, 2\/7, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3406110?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1571584*h - h**2 - 1571584*h.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-22)*((-80)\/6)\/(-10)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-16)*42 + (-75)\/15 + 1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 463 + 3756188\nAnswer: 3756651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4707955988.\nAnswer: 2, 31, 5639, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 192108847 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138781613?\nAnswer: 53, 2618521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 5:58 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28117, -56188, -84259, -112330, -140401?\n\"Answer: -28071*f - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 118\/(-4) + ((-5)\/1)\/10. Let k be (-1)\/(-9)*n\/20*-6. Let c be -21399996 - (k - 6\/(-3)) - 1. Round c to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -19 + (-16 - -6 - -8) + -48.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 t when three letters picked without replacement from tvjsgsw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -1. Let z be (k\/6 - 0)*4. Let f be (-1)\/3 - 18\/108. Which is the closest to f? (a) -0.3 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*(2*sqrt(176) + sqrt(176) - sqrt(176))*4 + 5)**2 + -4.\nAnswer: 960*sqrt(11) + 281605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102525 and 725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1072082933 divided by -1\nAnswer: -1072082933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 156683.9805?\nAnswer: 156681.9805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (3\/2)\/(12\/40). Suppose q*h - 4*p - 198 = 0, -p + 3*p = -2*h + 90. Let j = h + -30. Solve -2*l = l - j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 150 = -5*t + 2*i, -5*t = -i - 186. Suppose 0 = -2*b - 1 + t. Calculate the remainder when 70 is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 11*k**2 - 13*k + 9. Suppose 9*x = -11*x + 240. Calculate a(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2 - 3. Let x(t) = -3*t**2 + 2. Determine -2*p(d) - 3*x(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (-8 - -5) + -10 - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -23. Let w(a) = 5*a**2 - 6*a + 14. Let j be w(2). Suppose -112 = -4*i - 7*c + 3*c, j = i - c. Calculate the remainder when i is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 12:23 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - v - 5*v)*(v + 0*v + v)*(-7 + 9 - 1).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**2\/3 + 260*v - 50700 = 0.\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.007256? (a) -0.3 (b) -2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003723438 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 339400566 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*h + h. Let r = -6 - h. What is the remainder when 6\/r + 2 + 29 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46577639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1495*h**2*t**2 + 162732*h**2*t - 8*h*t**2 + 111*t**2 - 837*t + 2 wrt h.\nAnswer: -2990*t**2 + 325464*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 12 = 36. Suppose 0 = -3*v + 3*u - 9 + 21, -5*u - p = -v. Suppose v*s + s = 0. Let g(y) = y**2 + 2. Determine g(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4758)\/(-15372) - (1 + (-18)\/21). Let l = 6 - 9. Sort 0, l, -9\/4, i.\nAnswer: l, -9\/4, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5197, -5196, -5195?\n\"Answer: a - 5198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 1:21 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h*k**6 + 5*h*k**4 - 2*h*k**2 + 5*k**4 + 75*k**2 wrt k.\nAnswer: 360*h*k**3 + 120*h*k + 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40595 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 b when four letters picked without replacement from {b: 5, k: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -39*s**5\/10 + 15*s**4\/4 - s**2 + 63*s. What is the second derivative of p(i) wrt i?\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 896.1423 litres to millilitres.\nAnswer: 896142.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 19 + -14 + 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -43*z + 42*z - 39807, z - 59708 = -3*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 11*v. Let t(o) = 309*o**2 + 127*o**2 - 3*o + 3*o. Determine s(t(i)).\nAnswer: 4796*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 27*f**3 + 21*f**2 - 17*f\/3 + 1\/3 = 0.\nAnswer: -1, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 - 77. Suppose 65*k = 1427 - 387. Calculate the lowest common multiple of o and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 155711064 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0 (c) 1\/2 (d) -3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 k when four letters picked without replacement from {n: 4, k: 2, s: 4, l: 5}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12938 is divided by 107?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -5) + (-32 - (-7 - 9))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.809170331103 minus 0.4?\nAnswer: -9.209170331103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -59, -63?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14324 = -1875*p - 52659 - 38540 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i - 6. Let l(x) = -1. What is 5*l(w) - s(w)?\nAnswer: -3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + 5*(sqrt(300)*-1 - sqrt(300))*-1))**2.\nAnswer: 5400*sqrt(3) + 270081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2522 + 4195. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 13.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 18616?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ab23 (base 16) to base 8.\nAnswer: -525443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f + 2*f)*(0*f + f + f) - 2 + 2 - f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 15) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhqhhqhqqhhhhq. What is prob of picking 3 q?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 14. Let t be s(-9). Let z = 9 + t. Suppose b - z*b = -6. Calculate the remainder when 2 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 11:59 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*r = -22, 2*p + 10*r = -47 + 13. Suppose -8 = -3*i + c, 0 = -2*i + 2*c - 7*c + 28. Solve h = -p*h + i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -38.5. Let d = -0.5 + o. What is the closest to 0 in -0.5, d, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, p: 4, w: 1}. What is prob of sequence dd?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 751*h**2 - 6 - 195*h**2 - 537*h**2. Let b(a) = -20*a**2 + 5. What is 6*b(r) + 5*y(r)?\nAnswer: -25*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5082.817mg in micrograms?\nAnswer: 5082817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4860 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*a**6 + 83*a**5 + 992*a**2.\nAnswer: -840*a**3 + 4980*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/((sqrt(225)\/sqrt(5))\/sqrt(5)) + 4)**2 + sqrt(55)\/(-4*sqrt(11)) + 2*(sqrt(5) - sqrt(320)).\nAnswer: -25*sqrt(5)\/4 + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)*q**(3\/4))\/((q*q*q**(1\/5)*q)\/q*q\/(q**(-6)*q)) assuming q is positive.\nAnswer: q**(-209\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61080954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2*-204.467\nAnswer: 408.934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 2*x**3 + 0*x**2)*(51 - 11 - 13)*(0 + 3 - 1).\nAnswer: -108*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = y + 3, -203*u - 9 = 3*y - 208*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 216*g**3 - 3*g**2 + 11*g - 11. Calculate the smallest common multiple of 471 and t(2).\nAnswer: 5181","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/((-50)\/(-20))*(13 + 0). Let v(b) = b**2 - 12*b - 12. What are the prime factors of v(u)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7+129\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.039726 + -7695986.7.\nAnswer: -7695986.660274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47969.\nAnswer: 47969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*y - 62*y + 125*y.\nAnswer: 127*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-4))\/(1\/(-2)). Let d be 3 - ((4 - 3) + -2 + -1). Differentiate 0 - 3*o**2 - d + 4 - t with respect to o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/21 (b) 1199 (c) 0.3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 0.037, -7 in ascending order.\nAnswer: -7, 0.037, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 5:49 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12901865*o**3 + o**2 - o**2 + 12901876*o**3.\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 - 4*j**3 - 7*j + 108806 + 17*j - 108810 to the form v + z*j**3 + m*j**2 + t*j and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7497*w + 4952. Calculate q(1).\nAnswer: -2545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77678, -155231, -232784, -310337?\nAnswer: -387890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 1. Let v(f) = -2*f**2 - f - 3. Let c(y) = y - 1. Let q(s) = 2*c(s) - v(s). Let h = 2 - 3. Let g(d) = h*j(d) - q(d). Factor g(m).\nAnswer: -2*m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2628 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48120325\/26 + 1856793. Let j = -6010 + g. What is the common denominator of -11\/14 and j?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 9 = k, -2*l = 3*k + 11. Let h(r) = -r**2 - 8*r + 5. Let y be h(-5). Is 7 a factor of 136\/y + (-2)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68d (base 14) to base 3\nAnswer: -1210012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/(-105)*3*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1309*b*v**3 - 38*b*v*w**3 + v**3*w + 1594*w**3 - 53*w wrt b?\nAnswer: 1309*v**3 - 38*v*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -100*g + 74. Let t(k) = 198*k - 146. Let l(c) = 3*t(c) + 5*u(c). Differentiate l(h) wrt h.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424712 - 86*z + 3*z**2 - 4*z**2 - 424712.\nAnswer: -z**2 - 86*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 95517 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-288)*(-1)\/(5\/(-6))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 10*g**2 - 9*g - 1319. Let r(b) = b**3 + 7*b**2 + 7*b + 5. Calculate the remainder when r(-4) is divided by k(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3*(0 + sqrt(13)) + (sqrt(91)\/(sqrt(7) + sqrt(63)) - sqrt(13))) + 3.\nAnswer: -9*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*288.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + 180. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/3 (b) -0.2 (c) -172 (d) 1\/4 (e) -1\/2 (f) 1 (g) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4461\/10409)\/(2\/(-98))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 149 + -146. Differentiate 38*y**3 + 16 + 12*y**3 - 18*y**k wrt y.\nAnswer: 96*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 148 = 4*u, 3*u + 5*k = 72 + 16. Suppose 24 = 4*x - u. Solve -5*r + 5 + x = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fpdffffdfddddffffdd?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 16 - 40. Suppose 2*y - i*y + 31200 = 0. What is y rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8597.7*1.3.\nAnswer: -11177.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 26. Let c = 18 + -7. Let g = p - c. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.839614 minus 0.1?\nAnswer: -0.939614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 424*w + 3298. What is f(-8)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/392 and -5\/12.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1518879, -3038011, -4557145, -6076281, -7595419, -9114559, -10633701?\n\"Answer: -n**2 - 1519129*n + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-24) - (-57)\/24. Find c such that 0*c - 1\/6*c**x - 1\/6*c**4 - 1\/3*c**3 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6348, -19918, -33486, -47052, -60616, -74178?\n\"Answer: a**2 - 13573*a + 7224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6 + 0)*(-70920*s**2 - 2*s + 70921*s**2 + 13 - 10*s).\nAnswer: 9*s**2 - 108*s + 117","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.06 - 11.0600056412. What is l rounded to seven decimal places?\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42889*g*p**3 + 54*g*p - 5*g - p**3 + 1596 wrt p.\nAnswer: 257334*g*p - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**3 + 3*s**2 + 6*s + 1. Let k(z) = 3*z**3 + 3*z**2 + 5*z + 1. Let b(g) = 3*k(g) - 2*o(g). Factor b(v).\nAnswer: (v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 9) to base 4.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 27. Let y = q - 11. Let j = -6 + y. Solve -7*m = j*l - 2*m - 4, l - 3*m = 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 l, and 1 q when three letters picked without replacement from dlheqhh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134320 - 1200141?\nAnswer: -1010321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 11*s + 13. Suppose -4*f + o = -15, f - 3*o = 4*f. Suppose 0 = f*c + 2*c - 50. Is n(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2431969 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minus 7150?\nAnswer: -6959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -82*v. Let l(f) = -44*f. Determine r(l(z)).\nAnswer: 3608*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 0 = 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 280 = -5*b + 2*b, 5*s = -b + 90. Let z = b - 40. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*21171.\nAnswer: -8468.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 11*u + 2. Let k(f) be the second derivative of -9*f**3 - 5*f**2 - 70*f + 1. Give 2*k(p) + 11*x(p).\nAnswer: 13*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3343664 litres?\nAnswer: 334.3664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38764.17 centuries in millennia?\nAnswer: 3876.417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 9 = -2*j. Let r be j\/2 - (-21)\/14*47. What is the highest common divisor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 376 + -548. Suppose -9*y + 5*k - 328 = -10*y, 4*y + 2*k - 1222 = 0. Let z = y + o. Round z to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -4.4\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -9, 0.05, -5\/2 in decreasing order.\nAnswer: 16, 0.05, -5\/2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.244983526 rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 460*z**2 + 42262*z + 9651. Give r(333).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-150)\/(-240)*18\/(-36))\/10.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s**(-1\/11)))*s*s**(-11\/4))\/((s\/(s**(-7\/5)\/s)*s)\/s**(-3\/4)))**(-13) assuming s is positive.\nAnswer: s**(8567\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148 = 30*c - 51 - 221 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000955342907 rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 660796 and 876?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -8*p**2 - p - 1. Let j(z) = -39*z**2 - 6*z - 6. Let q(r) = j(r) - 5*m(r). Let f(u) = -u**3 + 2*u**2 - 2*u. Determine -f(t) + 2*q(t).\nAnswer: t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + ((-3)\/(-12) - 13\/(312\/(-90))). Let w = 0.3 - 0. What is the closest to w in -2\/9, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1739520\/1600)\/(-302)*10\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 3:07 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**5 - 4774*h**4 + 104058*h**3 + 4774*h**2 - 104060*h = 0. Calculate h.\nAnswer: -1, 0, 1, 22, 2365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 4 + (8 - 1 + 4)*(-1 + 4 - 1))*(-4 - 9*y + 4) as k*y + g and give k.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -30. Solve -5*i - 15 = -5*z - 0, 0 = -v*z + i + 11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-106)\/159)\/((-2)\/17)*3. Let a(x) be the first derivative of -1\/3*x**3 + 0*x + 0*x**2 - h. Let v(l) = 3*l**2. Give v(a(o)).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = -5*m + 3*w, -2*m - 64 = 3*w + 12. Let u = m - -45. Calculate the highest common factor of 7 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p + 2*p + p - p - 14*p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**1\/n)*n**(-1\/6))\/(n**(-1\/3)\/(n*n**(-2\/3)))*((n**(-2)*n)\/n*n**(-1\/10))**22 assuming n is positive.\nAnswer: n**(-447\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3373.\nAnswer: 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, e: 14}. What is prob of picking 3 e?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 176 + 12 = 0. Suppose -3*n + c + 109 = 0. Calculate the remainder when n is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3 = -3*i. Let h = 0 + i. Let q(g) = -4*g**3 - h - 3*g**2 + 5*g**2 + g - 4*g + 2. Let o(z) = z**3 - z**2 + z - 1. Give -3*o(t) - q(t).\nAnswer: t**3 + t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/44 + (-56)\/66. Let s = 13 - 18. Which is the closest to t? (a) 1\/2 (b) s (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(3564)*1)**2*1.\nAnswer: 3568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23.7, -1\/6, 6273 in ascending order.\nAnswer: -23.7, -1\/6, 6273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(14\/(-15))*(-1)\/18*1992\/498?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -9*o**5 + 237*o**4 + 1862*o**3 + 3834*o**2 + 1971*o + 297 = 0.\nAnswer: -3, -1\/3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50460 and 26060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/3 + 16\/3. Suppose 0 = -0*a + y*a - 20. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -259, -286, -315, -346?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2695 - 2689. Let c = -5 + 10. Put 2, c, n, 2\/7 in descending order.\nAnswer: n, c, 2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 60, 71, 96, 141, 212, 315?\n\"Answer: b**3 + b**2 + b + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3351.\nAnswer: 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2964567521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p*v**3 - 1173*p*v**2 + 2*p*v - v**3 + 4*v + 94 wrt v?\nAnswer: -12*p*v - 2346*p - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -86, -109, -132?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 1.4786.\nAnswer: 3.5214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31916132 and 20.\nAnswer: 159580660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1712.779 litres?\nAnswer: 1712779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 5*p**4\/6 + 8*p. Let y(b) = 52*b + 7. Let u(g) = 7*g + 1. Let h(r) = -21*u(r) + 3*y(r). Determine o(h(m)).\nAnswer: 810*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 3*m**2 - 3*m - 4. Let r = 5 + 1. Let k = 8 + r. Calculate the remainder when k is divided by y(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0 = 6. Suppose 392 = 3*w + 4*g, 7*g - n*g + 400 = 3*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33a899 - -2?\nAnswer: 33a89b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-13 - -5) + (-48 - -8) + 79.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 392267225 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 + 14*a**2 + 10*a + 2. Is 14 a factor of v(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-42)*(-6 - 8).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8058567*r + 10987987 wrt r?\nAnswer: 8058567","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4633 and 4916884?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -255 + -4?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(336))\/sqrt(6))\/(sqrt(800)*1).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 5:28 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/9*(-3)\/11*2.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 3. Suppose 0 = -k - 3*x + 24, 4 = 3*k + x - 68. What is the least common multiple of n(-1) and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 97 and 0.0187.\nAnswer: 97.0187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b + 40. Calculate l(-13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 255534.16 * 0.4.\nAnswer: 102213.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.147 + 0.146999845. Round n to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*i = 14*i - 1194 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 512977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1511 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -232 - 4?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -268.282 or 1\/5?\nAnswer: -268.282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 11) to base 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 p, and 1 v when three letters picked without replacement from ntnavtnstpap.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 11. What is the remainder when 34 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -68 (b) -14.9 (c) 2\/797\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uou when three letters picked without replacement from ommupunvommp.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 392 and 84.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 9:48 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 615748 divided by -4\nAnswer: -153937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 7*i + 15. Let u be t(4). Is u less than or equal to 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88 - -529\/6. Let d(g) be the first derivative of 0*g**5 + 0*g**3 + 0*g**4 - 2 - 3\/2*g**2 + 0*g - c*g**6. What is the second derivative of d(o) wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3819*y**3 + 905*y**2 wrt y?\nAnswer: -22914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1448 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yee when three letters picked without replacement from yyyeyee.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11 + 3)\/4 - -1. Let f(y) = -7*y**3 + 7*y**2 + 4*y - 1. Let k(t) = t**3 - t**2 + t + 1. Let s(a) = m*f(a) - 3*k(a). Suppose s(w) = 0. Calculate w.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -74378, -74336, -74294?\n\"Answer: 42*d - 74420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 414, -1, -27, 2 in decreasing order.\nAnswer: 414, 4, 3, 2, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5528, 11117, 16648, 22121?\n\"Answer: -29*r**2 + 5676*r - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c - 26. What is w(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 196489 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 127387 + 3112.0009?\nAnswer: 130499.0009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 9007*o + 9007*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-3))\/((6\/8)\/(1178\/(-248)))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-42)\/(-10) + 2\/(-10). Suppose 3*o - z + v*z = 27, -2*z - 6 = -o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24992, -25951, -26910?\nAnswer: -27869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfggngbbncfggrgbb. Give prob of sequence gf.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.5 + -8. Let m = 0 - d. Sort 2, -5, m.\nAnswer: -5, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1233 + 872. Let q = -127 - s. Suppose u = -u + q. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2518600?\nAnswer: 2, 5, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkbtttki. Give prob of picking 2 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**2\/11 - 32*f - 1408 = 0.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(-91)*(-1)\/((-9)\/(-42)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/15 or 15724?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 >= -189\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k - 4. Let z(v) = -v**2 + 3. Let n be z(0). Let i be d(n). Solve 2*l = -4*u + 8, -i*u + 4 = -1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u. Let g(c) = 202*c. Calculate g(z(q)).\nAnswer: -808*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2428, 0.2, -50, -22, 5, 0 in decreasing order.\nAnswer: 5, 0.2, 0, -22, -50, -2428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3962.683 + -3961. Let p = h + 0.017. Let d = 2.96 - p. Round d to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 8*z**2 + 2*z - 31. Give k(9).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47742 < 48794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2))\/(l**(1\/4)*l)*((l**(-6)*l)\/l)\/l*l\/l**(2\/5) assuming l is positive.\nAnswer: l**(-93\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 2*y**6 + 10*y**3\/3 + 3. What is the third derivative of x(o) wrt o?\nAnswer: 720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2420*b**4 - 2*b**3 + 6591*b**2 + 2*b + 98930439.\nAnswer: 29040*b**2 - 12*b + 13182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 15 + -8 - (-2 + -59)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-4)\/(-36) + 26\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-9) + -1 + 8. Suppose 6*p + z - 21 = 0. Let m = -2.6 + 2. Which is the biggest value? (a) m (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**2\/3 + 4010*r\/3 + 40300\/3 = 0.\nAnswer: -10, 2015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*(((2*sqrt(275) - sqrt(275)) + 1 - ((sqrt(275) - (sqrt(275) + -2 + sqrt(275) + sqrt(275) + 4)) + sqrt(275))) + 0)*-6)**2.\nAnswer: 2160*sqrt(11) + 39924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 13. Suppose 20 = 11*d - 79. Calculate n(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 0, 10, 1225 in increasing order.\nAnswer: 0, 10, 34, 1225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1739 (base 16) to base 8\nAnswer: -13471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 41*w - 86*w + 40*w - 29*w**2 - 5. Let x(k) = -15*k**2 - 3*k - 2. Let l(c) = -3*i(c) + 5*x(c). What is the derivative of l(a) wrt a?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 8. Let t = f + 0. Let l(u) = u + 0*u - t*u. Determine l(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*d = 12. Let a = -1 + d. What is the second derivative of q**2 + q + 2*q**a + 2*q wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -1243776.\nAnswer: 248755.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 + c**3 - 14*c**3)*(c - c + 2*c).\nAnswer: -26*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -105\/4, 2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*s + 7 = 0, 18*i - 16*i - 14 = 2*s. Suppose 0*a - i*u = a + 18, 2*u + 25 = -5*a. Let c(t) = t**3 + 4*t**2 + 4*t - 4. Give c(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11438b9 (base 12) to base 6.\nAnswer: -155125553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3 = 5. Let t be 12\/15*(7 + -2) + -2. Let z(x) = 4*x + 2*x - t*x - 1 + x - x**2. Give z(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 882 and 18?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 124612 divided by 6\nAnswer: 62306\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34929252*f**3 - 21535337*f.\nAnswer: -209575512*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 26 = -4*z, 33*z + 10 = 15*x - 19*x - 13 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 2*a + 2, -2*a - 11 = 5*l - 10*l. Suppose 0*k + k - l = 0, -k = 2*w - 1971. Is (-1)\/5 + w\/20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17828 + -9396. What are the prime factors of k?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 862269\/21 + (-27)\/63. What is i rounded to the nearest 1000?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -2*i**2 - 9*i - 26838. Let r be 2*-2*2\/4. Calculate m(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/9)\/(102\/2448)*102\/680?\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 25*l - 41. Let c be g(2). Let d be (-2 - (12\/3 + -1)) + c. Solve d*f - 3 + 7 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003746277 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 + 2*z - 1. Let x(g) = 7*g**2 - 6*g + 3. Let d(h) = -12*t(h) - 4*x(h). Let i(o) = o**2 - 5*o**2 + 2*o**2. Determine d(i(p)).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 24*z**2 + 5124*z - 26223. What is n(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 267 = 6. Let v = -13 + 18. Suppose -b = -v*r - 16. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)*a)**(-25)*(a*a**(-2\/9))**46 assuming a is positive.\nAnswer: a**(322\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -0.7. Suppose -9*k + 36 = -3*k. Let c(z) = 12*z - 67. Let q be c(k). What is the nearest to 0 in q, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 0*f + 0*f**3 - 6*f**2 + 0 + 1\/8*f**4. Let t(o) = -o - 1. Let i(h) = -j(h) + 3*t(h). Calculate i(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/3? (a) -0.07 (b) 3 (c) 0.2 (d) -177 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 36 = 5*k, 5*h + 13*k + 5343056 = 5343101 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 0. Let o = c + -2. Find the second derivative of -f**o - 1 + 1 + 2*f wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 8 = -3*t, d - 4*t = 20. Suppose -d = -43*k + 46*k. Which is the nearest to 2\/7? (a) k (b) 0.4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 380 + -252. Let c = t - 57. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + i + 91585 = v, 0 = 3*v + 3*i - 274746. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (392\/(-4116))\/((-14)\/(-231)).\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225187 + 334813 = -2*a. What is a rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*p = -4, 5*b + 2 = 3*b + p. Solve -g - 1 + 3 = b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -52*k**3 + 5*k**2 + 3*k - 23. Is i(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -13.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/((z\/z**(1\/2))\/z*z))\/z)**33)**(-20)\/(((z\/(z\/(z**(-1\/5)\/z)))\/z**(-1\/4))\/(z\/(z*z**(-1\/4)))**(2\/9)) assuming z is positive.\nAnswer: z**(-59219\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 145979\/12084 + 3\/1007. Suppose 0 = -3*c + 8*c + 5. Find the common denominator of c + 59\/16 + 3 and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8608 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -482\/103, -3\/4, 0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43263*p**2 + 1 + 26636*p**2 - 1.\nAnswer: -16627*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/4)\/(-1*4\/(-32)). Let a be b\/8 - 7\/28. Let x(r) = 10*r**2 - 14. What are the prime factors of x(a)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130123230220 (base 4) to base 16\nAnswer: 71bb28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + m**2 - m**2)*(2798 - 5*m - 5666 - 3*m**2 + 2828).\nAnswer: 6*m**4 + 10*m**3 + 80*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0 = -4*f - 10, -13 = 3*f - 2*q. Let r(x) = x**2 - 5*x - 6. Calculate the remainder when 70 is divided by r(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8625 divided by -69\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjjxvjxjxssssss. Give prob of sequence vv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 237902832 to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 5*c + 2. Let x be f(5). Let h be x + 34\/(-10) + 1. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, w: 6, k: 3, p: 1, a: 1}. What is prob of picking 1 s and 1 k?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: 339514 (base 11) to base 12\nAnswer: 22038b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2618 divided by -238?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6\/10*12\/6*240\/(-3936)\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*n + 2*g, 3*g - 41 + 12 = -n. Suppose -m + n = 22, -f + m + 772 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 2:02 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(0 - 1\/1). Let z(y) = 6 - 2*y + y - 2 + s. Let r(p) = 2*p - 11. Let i = -5 - -8. Give i*r(l) + 8*z(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6712552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -395906553*y - 108385383 with respect to y.\nAnswer: -395906553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-24)*68\/(-6) and (15\/12)\/((-2)\/(-4))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 136 = -4*p, 2*x - 9*p + 328 = -13*p + 192 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24862473 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3 - (-10 - 985\/(-105))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 29. Solve h*i - i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/13, -58954, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.046784 rounded to 3 decimal places?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30244?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*1*-5*(((sqrt(216)*4*-1 + sqrt(216))\/sqrt(8))**2 + -1).\nAnswer: -14520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1736*o + 885648. Give h(510).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 24*y - 1 + 5 to the form z*y + a and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 + 23 = 2*q - 4*m, -5*q = -3*m - 346. Let v(h) = -h**2 - 8*h - 6. What is the remainder when (q\/(-10))\/((-4)\/10) is divided by v(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 595*v = 1216*v - 73278 for v.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -2\/5, -0.1, 1\/7 in descending order.\nAnswer: 1\/7, -0.1, -2\/5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168058?\nAnswer: 2, 11, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - (-6)\/(-1)) + (9 - 3). Let v(a) = 0 + k - 752*a**2 + 763*a**2. Let b(y) = -41*y**2. What is b(v(z))?\nAnswer: -4961*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 762?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**4\/24 + 5*m**2. Let k(o) = -2*o. Determine v(k(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 10. Calculate the highest common divisor of d and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 10*d + 9*d + 2)*(-1 - 8 - 1).\nAnswer: 10*d - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -4*g - 5*n, 2*g + 12 = n. Let o = 0 - 0. Which is the closest to o? (a) 1\/9 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in -11, 6, -6, 69, 6.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2562 (base 10) to base 11\nAnswer: 1a1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55 - -6 - 74) + -35.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39362 is divided by 1233?\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*s + 58833, 263*s - 2*f = 259*s + 78432. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27264, 108681, 244370, 434325, 678540, 977009, 1329726?\nAnswer: 1736685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from bwwwbyxxbbbbcbwbwb?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -6)\/(4\/6*-3)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 583 - 365. What are the prime factors of o?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*q - 5*s = -33*q + 2970, 3*s - 12 = 0. What are the prime factors of q?\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022 (base 16) to base 10.\nAnswer: -8226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00394159 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 + 3*z - 3. Let t(p) = -2*p**3 - 26*p**2 + 29*p + 11. Let n be t(-14). Let x(j) = -25*j**2 + 35*j - 35. Determine n*x(d) + 35*s(d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.80865 times 8?\nAnswer: 94.4692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3059 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303357*d + 303885*d - 607227*d.\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 h when four letters picked without replacement from yhyhyyyhhyhhyyyyyyh.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10\/9 - 4\/9. Let t(c) be the first derivative of 0*c**2 - r*c**3 + 0*c - 4. Let i(d) = -6*d**2. Determine i(t(q)).\nAnswer: -24*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27\/4 in 0.1, -2\/5, -22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 2\/5 (c) 11 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 8. Solve s = q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 r when two letters picked without replacement from wrvtm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**4 + 408*b - 416*b - 2*b**2 + b**3 + 0*b**3 to y*b + r*b**4 + o + n*b**2 + f*b**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-118)\/15*(-102)\/1088*2 and 37\/1956?\nAnswer: 19560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.826214456 - 0.03.\nAnswer: 16.796214456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 + -14*(-4)\/14 and 3.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**2\/2 + 57*q - 48. Let c be w(-7). Calculate the greatest common factor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -37, -54, -71, -88?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -7. Suppose 5*w + 15 = -0*w, 3*f - 18 = w. Suppose 0 = 4*b - b + 3. Sort q, b, f in decreasing order.\nAnswer: f, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*r**3 + 25*r**3 + 1 - 59*r**3 - 22*r**4 as v*r**2 + o + a*r**3 + f*r**4 + l*r and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30072 by -7.\nAnswer: -4296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18.6 - 17. Let t = 2.59 - 0.79. Let w = n - t. Which is smaller: -1\/8 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1548 and -28526?\nAnswer: 30074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 302 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q = 27. Suppose 0 = -4*n + 4*x + 40, -3*n + 4*x = 5 - 35. Calculate the remainder when q is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/(-18)*52\/(-3). Let y = 38 - h. Suppose y = 4*f - 24. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-98)*217\/124?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -110 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -139 + 157. What is the highest common divisor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*l - 6 = 0, 3*l + 0*l - 2 = 2*r. Solve r*t = -0*t + 3*o + 22, -2*t = -4*o - 20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39120 and 142788.\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 9*b + 2. Let r(n) = 2*n**2 - 17*n + 4. Determine -5*i(g) + 3*r(g).\nAnswer: g**2 - 6*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 y, and 1 b when four letters picked without replacement from yjrrjrrbyb?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15975*k**4 - 15412?\nAnswer: 63900*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -147.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 - 16 - k + 34 + k.\nAnswer: -2*k**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(((sqrt(18)\/sqrt(2) - sqrt(9)) + sqrt(9))*6))**2.\nAnswer: 19\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 12 = -4*h, 0 = 5*o - 9955 + 9935 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/74712 and 70\/110639133.\nAnswer: 885113064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/2)\/((u\/u**(-2))\/u))\/(u*u*u*u\/((u\/u**(-3)*u)\/u*u)*u*u**(-1\/3)*u)*((u**(4\/7)*u)\/u**(-2))**4 assuming u is positive.\nAnswer: u**(425\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5708\/186*(-5)\/20. Let j = 17\/279 + b. Find the common denominator of -73\/2 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*t**2 - 32816 - 69*t**5 + 32816 wrt t.\nAnswer: -4140*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 7*a + 13 = 11*a, -u + 3 = 2*a. Is 12\/89 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yznnzxzyzxzzzzxnnz. What is prob of picking 1 n and 1 z?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -84, -159, -232, -303, -372, -439?\n\"Answer: r**2 - 78*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 43*g**2. Let y(l) = l - 159 - 155 + 314. What is y(x(f))?\nAnswer: 43*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421*t - 178*t + 385*t - 2.\nAnswer: 628*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 12 = 4*w, 199*i - 584*i + 195*i - 4*w + 128 = -196*i for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -4459302454.\nAnswer: 4459302454.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 34 + 164 = -5*w - 8*l, 6*w + 3*l = -2*w - 218 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*i = 160, -3*w + 412 = -0*w - 2*i. Suppose -6*x + w = -3*b - 2*x, 0 = -5*b + 2*x - 224. Let z = b - -83. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 5*s**4\/24 + 6*s**2. Let f(a) = -a. What is f(n(h))?\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2031.00926352 - -0.00373648. Let a = -2032 + r. Round a to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5336982 and 30?\nAnswer: 26684910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**4\/12 + 2*m**3\/3 - 7*m**2\/2 + m. Let f be x(-8). Let j = 16529 + -16519. What is the greatest common factor of j and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/((u*u**(-9)\/u)\/u)*u*u)*u*u*u**8)\/(u\/(u*u\/(u**(1\/2)*u)))**(-11) assuming u is positive.\nAnswer: u**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - j**2 + 5*j**2)*(1 + 6 + 3) - j**2 - 4*j**2 + 2*j**2.\nAnswer: 57*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/5*g**3 + 4\/5 - 2*g + 8\/5*g**2 = 0. Calculate g.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1136\/497)\/(10\/35)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*c**2 + 21689*c**2 + 9466*c**2 - 2578*c**2.\nAnswer: 28787*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1267211 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p**2 - 12*p - 2. Let t(j) = 11*j**2 - 18*j - 3. Let o(n) = -8*c(n) + 5*t(n). Suppose -19 = -4*r + 1. Determine o(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**3 + 23650108*s**2 - 23650108*s**2.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-528)\/10)\/(-2))\/(15636\/13030)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 275 and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 20*a - 24. Let x be m(18). Let u = 15 + x. Let y = -4 + u. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.2 (b) 0.31 (c) -3 (d) -2\/7 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 21 = -5*b, -4*b - b = -5*n. Factor 6*q**2 - 4 - 3*q**2 + 12*q - 12*q**n + q**2.\nAnswer: -4*(q - 1)*(q + 1)*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 67*o**2 + 57 - 30*o**2 - 38*o**2 - 57. Let c(j) = j + 190. Determine c(x(z)).\nAnswer: -z**2 + 190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -1\/13, -1\/4, 2, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j - 6. Let r be o(-5). Is r greater than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*s + 323, -14*x + 19*x + 495 = 3*s. Let v = s + -57. Round v to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c27 (base 13) in base 6?\nAnswer: -13313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 9135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 952553699.\nAnswer: 952553699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -741 divided by -3?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.21045 days to milliseconds.\nAnswer: 5806982880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(1840\/(-207))*(-3)\/6*1.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(102)*-1 - sqrt(102) - ((3*-1*sqrt(102) + sqrt(102) - sqrt(102)) + sqrt(102) + sqrt(102)))\/(sqrt(384) - (sqrt(384) + 1*sqrt(384))*-1) + 4.\nAnswer: -sqrt(17)\/12 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + d**2 + d + 18. Let n be r(0). Let w(h) = -7*h**3 - h**2 - 11*h - 27. Let t be w(-2). Let o = n + t. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ummuu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*i + 130074 = -7291*i for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111001 + 110110010?\nAnswer: 1000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -13574077.\nAnswer: -1357407.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*t + 11668 = 0, -5*t + 6198 = 5*d - 5462. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1625076 is divided by 2851?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 620 and 2519764.\nAnswer: 390563420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -17. Suppose 7*w - h - 16 = 0. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2692609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 575 and -0.068977.\nAnswer: -39.661775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -21596 divided by -5399\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2. Let f = 3 - 3. Suppose 2*r - 5*r - l + 10 = f, -3*r = -2*l + 2. Let u(c) = c**2 + r*c**2 + c**2 - c**2. What is u(n(v))?\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94 + -89. Which is the nearest to -17? (a) -2\/21 (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 28 = -188. Is 17 a factor of 1*821 + 38 + l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 - -730. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4\/7 - 45*q**3\/7 - 9*q**2 + 231*q + 882.\nAnswer: -3*(q - 6)*(q + 7)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(((l*l**(2\/3)*l*l)\/l*l)\/l*l)*l**(-4)*l**(-5)*l\/(l**(-1\/7)\/l)*(l\/(l*l**(5\/4)\/l)*l\/((((l\/l**3)\/l*l)\/l)\/l))**(-8) assuming l is positive.\nAnswer: l**(-998\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 3*d + 14. Suppose 3*g = 4*o - d, -2*g - 5*o + 18 = -8. Solve -3*i + 0*i = -5*b + 11, 3*b - g = 3*i for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -334063*b**2 + 974442*b wrt b.\nAnswer: -668126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + w - 2. Let d(a) = -a**3 - 3*a**2 + a - 12. Let o be d(-4). Determine u(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 613*u + 619*u + 22, -4*u - 33 = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + -2)\/(20\/(-2) - -7). Let q = 1552\/465 - 2\/465. Suppose u*c**2 + 16\/3*c**3 - q*c + 2\/3 = 0. Calculate c.\nAnswer: -1, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(sqrt(112)*1 - sqrt(7)))**2 + (1 + sqrt(7))*-1 + 5 + 2.\nAnswer: -sqrt(7) + 61\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -118\/3 - -39. Let c = 3.14 - 0.14. Let q = -5 + 10. Sort q, y, c in descending order.\nAnswer: q, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oofyoxyzyzyy. What is prob of sequence fyzx?\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 819 = 4*c - 1085, 0 = -9*c - 18*v + 558 for c.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(500) + sqrt(500)*-3)*4 + 1 + sqrt(500) + 2))**2 + -4.\nAnswer: -10500*sqrt(5) + 612721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-16))\/(3\/(-2)*1)*213\/(-284).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4.56, 0, -2, 26\/61?\nAnswer: 26\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1854378 + 1854378 + 4*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -612 minus -77.2?\nAnswer: -534.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 2*p - p + 2*p + 4 - 4 + (0 + 0 - 2*p)*(4 - 3 - 2) + 4 - 4 - p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + b - 1. Suppose 0 = 12*r - 18*r - 6. Let p(c) = -7*c**2 + 2*c - 6. Let a(i) = r*p(i) + 4*x(i). Give a(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1605 and 7215.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*sqrt(112).\nAnswer: 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1917185?\nAnswer: 5, 131, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -119.96 + -0.5\nAnswer: -120.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2572*p = 2618*p + 1104 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + 4 + -1 + (-3*sqrt(12) - sqrt(6)\/sqrt(2)*-2)**2*-6 + 2).\nAnswer: 1692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-50)*5*-5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*o = 163*o - 282. Let n(g) be the first derivative of 11\/4*g**4 + 2*g + 3 - 11\/3*g**o + 1\/2*g**2 - 3\/5*g**5. What is t in n(t) = 0?\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33093 is divided by 363?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1154150 divided by -46166\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 + 50. Let j be b\/(1\/6*-2) - -6. Suppose -j*f = -2*f + 58. What is f rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223c (base 15) in base 8?\nAnswer: 16131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 554*v**2 - 16 + 24 + 2*v.\nAnswer: 554*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*x - 19*x + 2*x - 12*x - 6*x + 6*x.\nAnswer: 29*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -16 - 34. Let s be 1\/5 - ((x - -18) + -7). Let r = 2.9 + 1.1. Sort r, 2\/7, 1\/4, s in ascending order.\nAnswer: s, 1\/4, 2\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 d when two letters picked without replacement from {d: 2, b: 5, l: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 k when four letters picked without replacement from {k: 3, p: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from {o: 1, e: 7, f: 8, i: 4}?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 8415969.2 to the nearest one thousand.\nAnswer: 8416000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 59600000 rounded to the nearest one million?\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 20*s**2 - 27*s - 10. Calculate z(21).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 600 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 23*i**2 - 23*i + 113. Let w be l(-24). Suppose 109*n = w*n + 40. Solve -n*t = 3*g - 4*t - 16, -4*g - 5*t = 17 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, x: 4, z: 1}. Give prob of picking 2 j.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-1\/6)*b))\/b**(2\/23)*((b*b**(1\/3))\/b)**(1\/2) assuming b is positive.\nAnswer: b**(-52\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 9*o**3 + o**2 - 2*o + 1. Let i be s(1). Suppose 4*w = -3*l - 6, 4*l - 3*w - 26 = -i. Let g be -3 - l\/4*-6. Solve 7*r - 4*r + 15 = g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 803782 is divided by 27716.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, z: 2, w: 1, v: 1, i: 2}. What is prob of picking 2 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 11:41 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*n - 321 = -131. Let d be 1*(24 - n) + 2. Which is bigger: 6 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 4*y + 22, -2*q - 6 = 4*y + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4428*b - 4428*b - 2*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-3))\/(4\/(-6)). Suppose m*p + 3*f = 3, p + f = 5*p - 27. Which is smaller: p or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 157c87d?\nAnswer: 157c882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 162*z**5 - 25*z**2 - 5 wrt z?\nAnswer: 9720*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48032989.\nAnswer: 48032989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(102\/(-68))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 12) + -1 - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -18*s**2 + 9*s**2 + s + 2 + 7*s**2. Suppose c + 8 = -2*m, -2*m - 14 = 3*c - 5*c. Give b(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 762628993 to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -118 + 117.9999941. Round h to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36614 + 1522?\nAnswer: -35062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -101 and 3860.\nAnswer: 3759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*t = 9, -4*u - 4*t + 16 = -0*u. Let q = -0.251 - -21.851. Let x = 22 - q. Which is the closest to -0.1? (a) -0.2 (b) x (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 + 11*i + 6. Let o be c(-4). Suppose -o*q = -6*q - 384. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 2. Let t(g) = -5*g - 9. Let q(m) = 2*t(m) + 9*w(m). Let l(v) be the third derivative of v**4\/24 + v**2. What is q(l(n))?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000513347 to 7 decimal places.\nAnswer: 0.0000513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22919.08897 rounded to the nearest ten?\nAnswer: 22920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(13\/(-52))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/70)\/(204\/240)?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4.070759cm?\nAnswer: 40.70759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 5\/4 (b) -0.4 (c) 1\/16439\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110321131 (base 5) to base 4.\nAnswer: 1311010311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 15 = -6*h, -47 = 2*h - 360*y + 365*y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -56, -16, 50, 142, 260, 404?\n\"Answer: 13*q**2 + q - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 254923633979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**4 + 2204*h**3 + 19620*h**2 + 58644*h + 58536 = 0. Calculate h.\nAnswer: -542, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 18 - 24 = 0. Let v be (-2)\/h + (-14)\/(-6). Suppose 0 = -5*g + v + 8. What is the remainder when g is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-z**5 + 0*z**5 + 2*z**5) - 4*z**5 - 2*z**5 + 5*z**5 + (2*z**4 - 3*z + 3*z)*(2*z + 0*z - z) + 126*z**4 - 126*z**4 - 3*z**5 + 2.\nAnswer: -3*z**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 5. Let d(c) = 0*c**2 - c**2 - 5 + u*c**2 + 4*c - 2. Determine d(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -133 at least -276\/2243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74 + -664\/9. Let y = 0.13 + -5.13. Let t = -5.4 - y. Put t, 0.3, s in descending order.\nAnswer: 0.3, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -7*l**5\/60 + 13*l**4\/24 - 21*l**2. Find the second derivative of i(g) wrt g.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 5:29 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 451089, 902233, 1353419, 1804641, 2255893, 2707169, 3158463, 3609769?\n\"Answer: -j**3 + 27*j**2 + 451070*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135 - 3) + 2822612\/(-22351)?\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, m: 2, i: 2, g: 1, z: 4, e: 2}. What is prob of picking 1 z and 1 o?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 23826.\nAnswer: 166782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/7)\/q*q)\/q)**(1\/76)*q**(1\/4)\/q**(-4\/7))**(1\/2) assuming q is positive.\nAnswer: q**(54\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 6. Let r = j - -8. Let s = r + 34. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(-45)\/((v\/(v*(v*v*v\/(v\/((v\/((v*v**(-2))\/v))\/v)*v))\/v))\/v)**(-2\/27))**10 assuming v is positive.\nAnswer: v**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 320644013596 + 320644013589 + 0*o**2.\nAnswer: -2*o**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y + 1178 = m, 5*y - 1966 = -m. Suppose -5*f + 1675 = -5*s, 5*s + y = f + 59. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 7*g**2 + 8*g + 11. What is t(6)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.292? (a) -1 (b) -4 (c) 0.6 (d) 2 (e) 1\/10 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = w. Suppose 3*c = -w*c, 5*s = 3*c - 185. Round s to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (95\/19)\/(((-28)\/4)\/7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 367295 greater than or equal to 367295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - -37. Let u = -27 + n. Let v be (-200)\/(-175)*21\/6. Calculate the greatest common factor of v and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -4. Find the common denominator of (46\/3)\/((-14)\/u) and 12\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10535493?\nAnswer: 3, 61, 57571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 12 + 4. Suppose 0 = -x + 5 + 13. Calculate the smallest common multiple of x and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 16*t**2 - 27*t - 32. Let x be q(14). Let n(c) = c**3 + 4*c**2 - 5*c - 6. Let j be n(-5). Is x\/(-27) - 494\/j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 41\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 10, 3*j = 4*b + b + 323. Let h = j - 114. Let i(d) = d**2 - 5*d + 6. Let n(o) = -2*o**2 + 6*o - 7. Determine h*n(r) - 4*i(r).\nAnswer: 2*r**2 + 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 28. Let t be (q + -6 + 4)\/(1\/3). Factor -t*b + 12*b**2 - 7*b - 2*b**3 - b**3 + b**3.\nAnswer: -2*b*(b - 5)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 20 = -4*z, -4*z - 5*j = -2*z + 2. Let p = z - -1. Let b = -2 - p. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26281839071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 328\/14 + ((-159)\/(-21) - 8). Solve s*b = 147 - 21 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/5))**(2\/53)\/(u\/u**(-2\/3))**3)\/((u*u**(2\/7)\/u)**(-42)*u**(-1\/4)*(u**(-1)\/u)\/u) assuming u is positive.\nAnswer: u**(10849\/1060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -12. Let t(o) = 4*o**2 - 1. Let a be t(k). Solve -a = m - 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 4843566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 14*c - 128. Give f(11).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a9 - -9705?\nAnswer: 97ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -6*q - 1. Let z be ((-7)\/2 + q)*6. Suppose 2*j + 3*o = 639985, 0*o + 1599985 = 5*j + z*o. What is j rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/105 and -101\/1176.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10110, -20144, -30206, -40302, -50438, -60620?\n\"Answer: -i**3 - 8*i**2 - 10003*i - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 9*k - 1. Let v be p(2). Let d = 27 - v. Suppose -d = 5*s - 120. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 8:32 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -421 - -6825.49.\nAnswer: 6404.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(9) - sqrt(144)*-1).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*o - 5 - 14, 2*i + 4 = 0. Let q(c) be the third derivative of 0*c - c**2 - 1\/3*c**3 - 1\/15*c**o + 0 - 3\/8*c**4. Factor q(g).\nAnswer: -(g + 2)*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -348 + 528. Suppose c = -15*g + 11*g. Let z = g + 42. Is z >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)\/sqrt(4) + (1*sqrt(891) - sqrt(891) - sqrt(891)) - (sqrt(88)*-1*1)\/(sqrt(8) + (sqrt(392)*2 - sqrt(392)) + sqrt(8)))**2.\nAnswer: 7436\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-162)\/81*6\/28*(-4)\/(-6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1451*m**2 + 7588*m - 7588*m.\nAnswer: -1451*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -184, -369, -548, -727, -912, -1109, -1324?\n\"Answer: -h**3 + 9*h**2 - 205*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/(-15))\/(4\/18). Let d(c) = -c**3 + 5*c**2 + 8*c - 7. Let z be d(r). Suppose 68 = z*q - 2*h, -5*q - 5*h = -42 - 33. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 699 - 100*k**3 + 291*k**3 - 699.\nAnswer: 191*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-six fifths of a millennium?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70617754 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 at least as big as 292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 459465 divided by 3.\nAnswer: 153155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnsnnwwnnwsn. What is prob of picking 2 w?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c - 5054 = -17006. List the prime factors of c.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 times -24?\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -216, -0.1, 2\/59, 3, -6\/5.\nAnswer: -216, -6\/5, -0.1, 0, 2\/59, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/7)\/c)**(-30))**33 assuming c is positive.\nAnswer: c**(8910\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -30 - -1 - (6260\/(-300) - (-22)\/(-165))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-84) - (-55)\/(-35).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 0 - 14*r + 0*r**2 + 3\/5*r**5 - 1\/2*r**4 + 0*r**3. Find the third derivative of l(c) wrt c.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 189 - 19. Suppose 5*c - 3*c = n. Calculate the greatest common divisor of c and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 219084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4515187.\nAnswer: 383, 11789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-69 - -66) + (2 - 4) + -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from {u: 1, c: 1, i: 1, n: 2, y: 1, k: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14591.95521 - 14592. What is w rounded to three decimal places?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -115*f**3 - 6*f**2 - 3*f - 15. Let b(s) = -2*s**2 - s - 2. Calculate 3*b(t) - j(t).\nAnswer: 115*t**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -50*w**5 - w - 21. Let o(z) = 150*z**5 + 3*z + 63. Let y(s) = -17*a(s) - 6*o(s). Find the second derivative of y(k) wrt k.\nAnswer: -1000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1212*n - 1214*n - 26 = 0 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -540362449\/6696385 + 6859\/85. Let j = 103434245\/9768844 - s. Let v = j - 26\/31. Calculate the common denominator of v and -53\/23.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 46473245*h - 557678220.\nAnswer: -5*(h - 9294637)*(h - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 15100?\nAnswer: 15100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j**2 + 4*j**3 - 6*j**3 - j + 0*j**3)*(2*j + j - 4*j + (3*j - 3*j + j)*(-3 + 6 + 4) + 2*j + j - 4*j).\nAnswer: -10*j**4 + 30*j**3 - 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578458739?\nAnswer: 578458739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 12 = -7*m + 2*m, -4*d - 24 = m. Let r = d - -26. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/52 greater than or equal to 1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o. Let n(g) be the second derivative of -g**3\/6 + 29*g**2 - 147*g. Calculate v(n(a)).\nAnswer: -2*a + 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1\/3, -1\/16, 6.8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/15 + 13838*q**2\/3 - 110831950*q\/3 - 51935422050 = 0. What is q?\nAnswer: -1215, 17905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/8)\/(6 - (26970\/928 + -23))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x + 3*x)*(-4*x + 2*x + 0*x) + ((0 + 0 - 1)*(x - 2*x + 2*x) - 1 - x + 1)*(-x + 4*x - x).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -37*d + 39*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -6. Suppose -t*o - o + 12 = 0. What is the smallest value in -2\/7, o, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-10))\/(12\/(18960\/4)). Let x = -309 - f. What is the smallest common multiple of x and 41?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/65 at most -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2999.173 + -0.2?\nAnswer: 2998.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 12:49 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k + 3*k - 6*k + 58 + 2*k - 58 + (-3 + 3 - 2*k)*(-3 - 2 + 3) - 3*k - k + 3*k - 5*k + 4*k + 3*k as z + o*k and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 39 = -30*o - 89. Let r(k) = -2*k**2 - 6*k - 19. Let z(g) = g**2 + 3*g + 10. Give o*r(j) - 7*z(j).\nAnswer: j**2 + 3*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(513)*6)\/(5*(sqrt(27) - -4*sqrt(243))).\nAnswer: -12*sqrt(19)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 l, and 1 o when four letters picked without replacement from ovyvololvvovovyvoov?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**3 + 77*n**2 - 429*n - 135. Calculate m(-30).\nAnswer: 1035","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/18 and -5 + (-37)\/(-7) - 223\/70?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-876)\/(-60) + 2\/5. Let g be (-6)\/3 - 2\/2. Let t = g - -6. Solve q = -0*o - t*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 8 - 40 = 0. What is the least common multiple of 4 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 117291317 - 117291317 - 781*x. Let f(i) = -5*i. What is f(g(o))?\nAnswer: 3905*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 130*i - 7371. Give r(58).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*t**6 + 3*t**4 - t**2 + 1 wrt t?\nAnswer: -2520*t**3 + 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4542 - a**4 + 2*a**2 - 69*a**3 - 4543 - a**4 as i*a + f*a**3 + u*a**2 + z + q*a**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*4*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 3*u**2 + 0*u + 2\/3*u**3 + 2037\/2*u**4 + 0. Let a be c(9). What is a rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 - -0.19. Let p = -0.16 + j. What is the second biggest value in p, -2\/17, 14?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: a909 (base 14) to base 12\nAnswer: 14aa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t - 1. Let x(o) = 0*o + o - 4*o. Let l(s) = 2*d(s) - 5*x(s). What is the units digit of l(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2597456010 rounded to the nearest 1000000?\nAnswer: -2597000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 610529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 + 65. Let y be (-28)\/(-5) + 2\/5. Let q(u) = u**3 - u**2 - 9*u + 3. Let z(l) = -l. Let n(o) = y*z(o) - q(o). Calculate n(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + (sqrt(170)\/sqrt(10))**2 + 4 - -5*(-2 + sqrt(85)\/sqrt(5))).\nAnswer: -20*sqrt(17) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18622*8*6\/96 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (294\/24)\/((-2)\/(-8)). Suppose -2*y = -5*o + 10, -3*o + 2*o = 3*y + r. Is ((-10)\/y)\/(2\/69) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1705*-3.8.\nAnswer: 6479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 32922*w - 1613227. Give h(49).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/18 and -99\/31298.\nAnswer: 281682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -117369, -117373, -117377, -117381?\n\"Answer: -4*f - 117365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 111309.\nAnswer: 1447017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10975, -11149, -11391, -11701, -12079?\n\"Answer: -34*v**2 - 72*v - 10869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*m + 29*m + 349 + 445 + 2*m**2 - 14*m in the form v*m + t*m**2 + n and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 484 divided by 263781.\nAnswer: 484\/263781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 39*s**4\/4 + 11*s - 20. Differentiate i(r) with respect to r.\nAnswer: 117*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*x + 1398 = 76*x. What are the prime factors of x?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 1079.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 27. Suppose -v = 5*w - 105. Let j = w - 12. Calculate the greatest common divisor of j and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28290598 - 4?\nAnswer: 28290594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -299 + 643. Let r be 2\/(-5) + 44\/10. Suppose d = r*c - 12. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2, -3, 0.16, 0.76 in decreasing order.\nAnswer: 2, 0.76, 0.5, 0.16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.53673 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 4*p = -5*n - 19, 0 = 2*p + 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*k = -4*k - 617, -5*h - 2*k + 768 = 0. Is 22 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 2*h = -34, 87*h + 1 = 5*x - 87*h + 176*h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -76*o**3 - 3028*o**2 + 487*o + 287. Give m(-40).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2487, 4903, 7321, 9741, 12163?\nAnswer: 14587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40387256?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 - 4)*(-2 - 2 + 3) + 385 - 1398 + 1788 - 4683 - 3757)*(2*g**2 - 2*g**2 - g**2).\nAnswer: 7663*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75501.\nAnswer: 3, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -31\/407, -1\/8.\nAnswer: -1\/8, -31\/407, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -1.1.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/3 (b) -4.4 (c) -97.3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/3*10\/(-2 + 0). Suppose -u = x*u - 24. Solve z = -3*k - 2, z = -2*z + k + u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 < 144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -284 - -320 - (23 + 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 2. Let g be c(0). Let h(v) = 2*v**2 + v - 2. Let z be h(-3). Let u = g + z. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = b - 3, 0 = -5*b + 4*b - 5*f + 27. Let o(h) = 1 + 0 + b*h**3 - 4*h + 0 - 4*h**3 + 3*h**2. Is o(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2 - 5*t + 5*t**2 - 5 + 2 - 4*t**3. Suppose 9 = -0*c + 3*c + 3*u, -u = -2. Suppose 10*b - 9 = c. Let h(x) = -x**2 + x + 1. Determine b*o(w) + 5*h(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -71, -58, -43, -26, -7, 14?\n\"Answer: n**2 + 10*n - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-42))\/(2\/(-5496)). Let o = -196 - m. What is the nearest to o in 4\/7, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.0341 (b) 15 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s*((s**(5\/3)*s)\/s*s*s)\/s)*((s**(-7)*s)\/s)\/s)\/(s**(-1\/12)*s*s*s**(-4)))\/(s\/(s**8\/s)*s**4*s)**(9\/4) assuming s is positive.\nAnswer: s**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 4:35 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3509358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/((-1)\/(262\/4)). Let l = -258 + w. Solve -l*t = -62 + 74 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + (-12)\/21)\/(-1). What is the nearest to -1 in -7, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -3*z + 2*h, 5*h - 29 = -4. Let u(x) = -3*x**2 - 42*x - 2. What is u(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and 51.\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 326, 224, 58, -178, -490, -884, -1366, -1942?\nAnswer: -2618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 14*h - 1. Let k(a) = 7*a**2 - 742*a + 170575. Let z(o) = -30*g(o) - 5*k(o). What is v in z(v) = 0?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 1029. What is c(24)?\nAnswer: -1053","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 596947480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/7, 5, -0.4, -32.\nAnswer: -32, -0.4, 0, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -257364 divided by 18.\nAnswer: -14298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 46\/8 - (-3 + (-11)\/(-4)). Let t be d*2\/12*(-1 + -1). Put t, 3, 6, -4 in ascending order.\nAnswer: -4, t, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 + -478\/7. Let p = 3874\/17 + -228. What is the biggest value in w, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 3 (c) 0.4 (d) 0.3 (e) -7404 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116872 + 116895. Let o(j) = -j + 391. Let g be o(0). What is the highest common divisor of y and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 72.4.\nAnswer: -7.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -2 (c) 5 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 359193 - -348007. Round p to the nearest ten thousand.\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 4*o**2 + 3*o - 4. Let g be m(-5). Suppose t + 0*d + 3 = d, 2*d = g. Suppose -2*a - 2*x = -t*x - 98, 0 = -x + 1. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3030*a - 70. Let q(r) = -60*r. What is m(z) - 50*q(z)?\nAnswer: -30*z - 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -133 - -138. Let h(g) = -g**3 + 7*g**2 - g - 10. What is the lowest common multiple of h(y) and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 3*a - 16 = 0. Suppose 68 = -4*q + a. Let v = q + 39. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94 + -92. Let p be ((-4)\/(-10) - q)\/(38\/(-95)). Suppose -4*r - 5*k = -6*k - 861, 0 = 5*r - p*k - 1079. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2538 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/12 - (-17)\/(-6) - 5. Let y be ((-12)\/n)\/(2\/(32\/(-6))). Which is the fourth biggest value? (a) 0.4 (b) -2 (c) 0.1 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 25*q. Let j(t) = -t - 2. Let v(u) = -u + 2. Let l(o) = -j(o) - v(o). What is w(l(d))?\nAnswer: 50*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2039?\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 - 18*l + 2. Determine v(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 6:58 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 1:17 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**7\/42 + s**3\/3 - 4*s - 1. Let l(i) be the first derivative of a(i). Find the second derivative of l(k) wrt k.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 13 - 5 - 19*v.\nAnswer: -19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5*(-3)\/108) - (-12)\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00033751 rounded to 6 dps?\nAnswer: -0.000338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 171\/34 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 9*o = -30. Let j(p) = o*p - 8*p + 96 + 9*p - 18. Let v be j(-13). Solve v = 4*b - 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 181*y + 1037. What is g(-5)?\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p - b + 228 = 0, 7*p - 9*p - b + 28 - 7 = 0 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6246121 a multiple of 1356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i**3 + i**2. Let t be a(-1). Let w(y) = 2*y - 3 + t + 3. Suppose -m + 7 = -l, 0*l - 2*m + 10 = -l. Determine w(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20638596.3 to the nearest 1000.\nAnswer: 20639000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 3808714.\nAnswer: 30469712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 + 4 - 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d553 (base 16) to base 14.\nAnswer: -15c8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1143\/(-127)*2\/10)\/(22\/((-4840)\/231))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4264*52\nAnswer: 221728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.8179 millilitres to litres.\nAnswer: 0.0848179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/656148 and -89\/4?\nAnswer: 656148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 2*g - 2. Calculate h(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 0*c - c**2 - 4*c + 5*c + 10. Let d be -8*3\/6 - -4. Calculate the remainder when 17 is divided by g(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 65 (c) 3741\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1 = -4*m + 6, 5*o = -m + 20. Let d = -8687 + 8683. Which is the closest to 0? (a) d (b) o (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 296 - -4230. List the prime factors of q.\nAnswer: 2, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1, -80, -2\/19, 4\/3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -6 - (1 + -2) - (47 + -50 - -53)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-4) - 19\/38) + 40574\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 8. Let h be s(-6). Let b be (h - -1)\/(-1)*1. Let u = -5 + b. Let y(l) = l**3 + 3*l**2 - 2*l + 4. Calculate y(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**2*h**3*o - 5*d**2*o**2 - d*h**3*o + h**3*o**2 + 54*h**2*o**2 + 5*h**2*o - 6*o wrt o?\nAnswer: -10*d**2 + 2*h**3 + 108*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 q when three letters picked without replacement from wqqw.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 - a**2 - 2720 + 9551*a - 9551*a to the form m*a**2 + g*a + o and give o.\nAnswer: -2720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 95896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 10*d**2 + 5*d + 4. Calculate q(-10).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00030486 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111332120 (base 4) to base 12.\nAnswer: 44108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/21 + (-4)\/(-14). Suppose 42 = 2*a + b*w, 29 - 71 = -2*a - w. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 6:45 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 444b (base 13) in base 14?\nAnswer: 3687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 105.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -156*g + 992 + 12494*g**2 - 6257*g**2 - 6233*g**2 = 0. Calculate g.\nAnswer: 8, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1105 + -1?\nAnswer: -1106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -682 = 5*i - 167. Let q = 71 - i. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z - 49 = 5*m, m - 10 = -z. Solve -3*y - 3*b = -15, -4*b + 5 + z = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910094657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -19 + 0*h + 5\/24*h**4 + 2\/3*h**6 + 0*h**5 + 1\/6*h**3 - 2*h**2. What is the second derivative of r(l) wrt l?\nAnswer: 480*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -3*h - 6 + 11, 3*q - 3 = 3*h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11336164*0.19.\nAnswer: -2153871.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1612 and 1030471.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 8*m + 0*m**2 + 12*m - 11*m + 4*m**2 - 1. Let h(b) = 3*b + 1. Let t be h(-2). What is f(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 62 (b) -2\/9 (c) -3 (d) -124 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3541*q**3 - q**2 - 18*q + 24. Let y(k) = -7083*k**3 - 2*k**2 - 39*k + 52. Determine 13*c(w) - 6*y(w).\nAnswer: -3535*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 6*l - 11. Let v be a(8). Let j be 1*8\/4*v. Solve 5*f + j = -10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 526159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 858499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1727.2836 minutes to weeks.\nAnswer: 0.1713575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 + 97 - 13301\/(-846).\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1089)\/45)\/(4389\/(-3990))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 24*z**7\/35 + 107*z**4\/12 + z**3\/3 + 138*z**2. Find the second derivative of n(q) wrt q.\nAnswer: 1728*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 254352 and 142560?\nAnswer: 755425440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 567 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 2\/3 (c) 127 (d) 1\/2 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*d**3*n**3 + 127*d**3*n - 11609*d**3 + 117864944*d*n**5 + 11*d*n wrt n.\nAnswer: 42*d**3*n + 2357298880*d*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (15 - 15 - (-7 - -9)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2\/(3*(-1)\/(-9)) and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + 31?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 3:05 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, q: 7, i: 7}. What is prob of picking 2 o?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 + 6*w - 5. Let u(k) = -k**2 - 3*k + 3. Determine 5*u(i) + 3*x(i).\nAnswer: i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 2)*(21 + 31 - 86)*(o + o - 4*o) to the form g + f*o and give f.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, n: 1, i: 1, z: 1, t: 1, x: 2}. Give prob of sequence ntyx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k**2 - 8 + 6*k**2 + 3*k**2 + 6*k**2. Let w be z(6). Suppose -3*c + w = c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*a**2*n**3 - 37*a**2 + 7*a*n**3 - 3*a*n**2 wrt n.\nAnswer: 192*a**2 + 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000058 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5268)\/(-2992) + ((-1 - (-270)\/(-24)) + 14)*-1?\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/170493 and 19\/4.\nAnswer: 681972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -7. Suppose o = -q - 3*q + 8. Suppose v = -q + 6. Solve -3*r = -v + 19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132.55 - 127.55. What is the nearest to 416 in -3\/5, z, 0.3, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 0*d**3 + 0*d**2 + 35\/4*d**4 - 20*d - 34. Differentiate q(x) with respect to x.\nAnswer: 105*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 9 (b) -5 (c) 552 (d) -2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 - -96. Is f a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1081 = -111. Suppose 5*d = 267 + k. Let f = 168 - d. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-6) + (-4442)\/(-6). Is -4 + 8 + 0 + v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/65 + -152\/715. Let y = -15.2 - -16. Let k = y + 0.2. Which is the nearest to k? (a) j (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006416441 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 8*a**2 - 2*a + 11. Let r be q(-7). Suppose -x = 2*x + 3*n + 114, 80 = -2*x + 2*n. Let z = x + r. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1042 = -184*p + 1226*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (48\/27 - 0) + (-4 - -2). Let d = 3.05 - 3.2. Let y = -0.35 - d. What is the closest to 0.5 in a, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 4000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -1046633 = 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 11:29 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*a = 2*a + 3, 4*a - 2 = -2*r. Suppose -1 - r = -2*i. What is the third derivative of 1 - i + 2*l**2 + l**3 wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 988*t**4 + 1728*t**2 wrt t?\nAnswer: 23712*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6133038*z + 6132762*z - 32844 for z.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 7792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 280 in -47, 2, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3, 184*z - 181*z = x + 9. Determine r so that 0 + 2\/9*r**4 - 2\/9*r**z + 4\/9*r - 4\/9*r**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2310*-488\nAnswer: 1127280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.69 + -0.7. Let u = -0.72 - -1.21. Let y = u - b. Put 1, 0.2, y in ascending order.\nAnswer: 0.2, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = l - 6*l. What are the prime factors of (l - -1 - 3)*12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -810888*0.1.\nAnswer: -81088.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = i + 15, -h - 9 = -0*i - i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -19 + 4\/(8\/(-2)). Let n(x) = -x. Let w(g) = -15*g. What is i*n(t) + w(t)?\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*s - 1)*(0 - 3*s**2 + 0 - 4*s + 2*s**2 + 4*s + (2*s - 4 + 4)*(s + 2*s - 2*s) + 3*s - 3*s**2 - 3*s) + 55*s**3 - 31*s**3 - 8*s**3.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -273209.\nAnswer: -273213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-6)\/90*25\/10.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 - 11 + 2*k**3 - 59.\nAnswer: 3*k**3 - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -1846d5?\nAnswer: 1846d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i = -2*n + 7, 10 = n - 4*i. Let k(o) = 0 - 4 + 2*o + 3 + 0*o. What is k(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -2. Suppose 2*h - 2 = -3*a, 3*h - 2*h = 2*a - 6. Suppose 2*n - x - 1 = -a, -n - x = 5. Let o(q) = -q. Let l(t) = -2*t. Calculate n*l(k) + y*o(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**2*v**2 - 962333*j**2 - 57*j*v**2 + 11*j*v - 7069*v**2 wrt v?\nAnswer: 6*j**2 - 114*j - 14138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-14 - -10 - (0 + -12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9664 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2562052*o**2 + 175*o - 5758 wrt o?\nAnswer: -5124104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -285 + 387. Calculate the highest common factor of 697 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -5.4. Let j = -23.6 - g. Let o = j + 31.00000004. Round o to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2 and 2517 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 4. Suppose 4*y = 3*y + 5. What is t(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114003\/1330 - 5574\/95. Let j = -183\/7 + r. Let k = 21908 - 481897\/22. What is the common denominator of j and k?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8 + 49)\/(2 - 1). Suppose z*b - 222 = 39*b. What are the prime factors of b?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8*(-4)\/(16\/(-22)). Let j be p + (1 + -1)\/3. Suppose 0 = 4*o - 0*o - j. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -16*v**2 + 384. Let i(f) = -2*f**2 - 8*f + 2. Let x(k) = 10*i(k) - m(k). Factor x(o).\nAnswer: -4*(o + 7)*(o + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 196\/(-784)*(618\/(-400))\/3 and -149\/480.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**7\/5 - 5*l**4\/24 + 33*l**2\/2 - 39. Let d(f) be the second derivative of x(f). What is the second derivative of d(p) wrt p?\nAnswer: 504*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-5*sqrt(8)\/sqrt(4) - sqrt(2)))**2.\nAnswer: 24*sqrt(2) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.011, -0.4, -1?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 3. Let n be f(0). Solve -4*c - 13 = n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (256 + 5 - (-3)\/(-4))\/(3\/144)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 972507 and -0.05.\nAnswer: 972506.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23417993 = 3*u + 1937693. What is u rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 less than or equal to -545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 31*j + 192. What is the thousands digit of f(35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 1:53 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from jhfghftjfjfhjhl.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 70*q**2 - 2. Let k(v) = v. Let i(n) = 2*n. Let g(o) = -6*i(o) + 13*k(o). What is g(f(p))?\nAnswer: 70*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -117433*f**5 + 901*f**2 + 172*f - 1 wrt f.\nAnswer: -7045980*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 956d2 (base 15) to base 4\nAnswer: 1303232333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120000010010112 (base 3) to base 6.\nAnswer: 442524105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.9 (c) 7 (d) 0.5 (e) -168 (f) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57945 + 57945.98074. Let g = -460.98 + 460. Let f = g + b. Round f to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434 = 8*q + 54*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 80 = -11*n. Suppose -4*g + 0*i = -2*i - 38, -i + n = 3*g. Let q(k) = 17*k - 2. Let w be q(3). Calculate the greatest common factor of g and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-423)\/12*-2*(-288)\/64*4\/(-27).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y. Let q(s) = 4*s - 2. Let o(l) = q(l) - 5*v(l). What is the units digit of o(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3\/21 - 1110094*q**2\/7 - 6660572*q\/21 = 0. Calculate q.\nAnswer: -2, 0, 1665143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 4, -1, -2\/41, 2.9, -149, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 569712675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 a when four letters picked without replacement from bnappnbkpkbabana.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 11:15 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f = -30. Solve -5*d + 20 = 5*y, y + 2*d - f = -2*d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 b, and 1 m when three letters picked without replacement from tbmjmbrrmtbjbbj?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*t = -415 + 256 + 218 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d**3 + 6*d - 3. What is r(2)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723704 is divided by 258.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjpljjjzjlxzijzl. What is prob of picking 1 x and 1 z?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + (sqrt(567)*1 - sqrt(567)))**2 - 2*((1 + sqrt(7))*5 + -4).\nAnswer: -50 - 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.0426914?\nAnswer: -0.0426914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 79967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 23, -266 in decreasing order.\nAnswer: 23, 3, -1, -266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*f + 5. Suppose f*i + 2*i - 60 = 0. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 57\/2 of a millennium?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 38, -41 in ascending order.\nAnswer: -41, -1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5\/2)\/d)\/(d*d\/(d*d**(1\/7)\/d))*(d\/(d\/(d*d**(-20))))\/(d\/d**(-19)))**11 assuming d is positive.\nAnswer: d**(-6831\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - 2*c**2 + c**2 + (-2*c + 4*c - c)*(3*c - 2*c - 2*c) - 130*c**2 + 32 - 32.\nAnswer: -130*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*u - 460 = 3*u, 0 = -2*r + 4*u + 230. Suppose -3*w - r = -2*a, -2*a + 4*w + 20 = -94. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23506?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 132167428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0. Let s = l + 0.8. Let b(x) = -x + 3. Let r be b(7). What is the nearest to -0.1 in s, r, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1667387.6350691 - -0.3649309. Let n = -1667387.9040351 + h. Let c = 0.096 - n. What is c rounded to 6 decimal places?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wfwkdfwddddwdvklfffd. Give prob of picking 1 k, 1 w, and 1 v.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49251124.\nAnswer: 2, 13, 947137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f - 1. Let x be z(0). Is 24 a factor of (x + 325\/(-35))\/((-2)\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 258053548 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a. Let v(i) = 2*i**2 - 4*i - 168. Calculate s(v(g)).\nAnswer: 4*g**2 - 8*g - 336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 2.9 in increasing order.\nAnswer: 1, 2.9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 6:57 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1320)\/396 - 10\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r**2 + 20*r - 24. Let i be m(7). Calculate the common denominator of (-12)\/(-54)*-3*i\/(-80) and 103\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**4\/24 - u**3\/6 - u**2. Let f(a) = 2*a**2 + 8*a - 6. Let r be f(-5). Let j(x) = -6*x + 5. Give r*l(h) + j(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -5*n**3 - 17224360*n**2 - 14833894421700*n + 59335853276880 = 0.\nAnswer: -1722438, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 241 - 300 - 136 - 460)*(7*b**2 + 31*b**2 - 16*b**2).\nAnswer: -25146*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v\/(v*v*v**10*v))*v*v**(-2\/5)*((v\/((v*v**27\/v)\/v))\/v)\/(((v*v\/(v*v**(-4\/13))*v)\/v)\/v) assuming v is positive.\nAnswer: v**(-761\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -570*v + 1 - 8*v**3 + 569*v - 1 + 12*v**3.\nAnswer: 4*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 77.0914584435.\nAnswer: -72.0914584435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 17*s = 10. Let b(n) = -n**2 + 2*n + 2. Let v be b(s). Let i be 2\/((-18)\/v)*51. What is i rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1845729 to the power of 1\/2, to the nearest integer?\nAnswer: 1359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 + 2*i**2. Let w be r(-2). List the prime factors of (-594)\/w - (-3 + -1)\/(-16).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -2.3 in ascending order.\nAnswer: -2.3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1188) + ((sqrt(1188) - -1*sqrt(1188)*-6) + sqrt(1188) - sqrt(1188)))\/(sqrt(1331) - sqrt(1331)*2*-3)*-5.\nAnswer: 120*sqrt(3)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16214 and 4114?\nAnswer: 275638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -57750, -3, 1 in descending order.\nAnswer: 2, 1, -3, -4, -57750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - (35 + (-24 - -7))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -437.388.\nAnswer: -437.788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1279326 by 6.\nAnswer: -213221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/7, 191, 8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-273)*28\/12?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 + 3*h. Let r be n(-2). Suppose r*p = -2*m + 124, -m - 190 = -3*p - 0*m. Suppose x - p = -2*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 4*w, -8*p + 4*p = 5*w + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-7 - -37) + -97?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 275302*g - 493321?\nAnswer: 275302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 12, -4*r + 2 + 52 = -2*n. Let y(b) = -b. Let a be y(0). Solve a*c + r = 5*v + 3*c, 3*c - 12 = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069881 a multiple of 503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4632*d**3 - 8*d**2 - 3*d + 17. Let p be q(3). Let c be (6\/8)\/((-1)\/(-4)). Let u be p*(c + (4 - 27)). What is u rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10a5 (base 11) to base 10.\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a + 24 = -30*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/sqrt(396) - sqrt(15))\/(sqrt(35)\/sqrt(252)).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -9*t - 5. Let i be b(-4). Suppose -2*h - 3*v + 0*v = -i, h - v = 3. What is the third derivative of 5*u**3 + 4*u**3 - 2*u**3 + h*u**2 wrt u?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 3*y - 66, 2*y + 3*y = -4*w + 61. Let z be (-3)\/9 - w\/(-3). Let c(a) = -a**3 + 7*a**2 - 7*a + 8. Is c(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 divided by -36435?\nAnswer: -122\/36435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 113714\nAnswer: -11\/56857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m**2 + 18*m + 63. Let y(a) = 3*a**2 + 10*a + 35. Let l(b) = -5*i(b) + 9*y(b). Let o(f) = -1503*f**2. Calculate o(l(k)).\nAnswer: -13527*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/9 - 116*t**2\/3 + 1890*t - 17496.\nAnswer: 2*(t - 81)**2*(t - 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 127*f - 2. Let i(m) = -2*m**2 - 2588*m. Give i(b(s)).\nAnswer: -32258*s**2 - 327660*s + 5168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*z + 4. Let g(s) = -s**3 + 2*s**2 - 2*s + 1. Let f be g(z). Solve -2*u = 0, f = -5*v - 5*u + 10 + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9292 is divided by 1537?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/11327845 and 57\/22057?\nAnswer: 79294915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4171\/9 + -463. Put 35, -0.5, d in decreasing order.\nAnswer: 35, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1020 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-1 - 0) + 4. Let p be (-62)\/(-899) + 356\/(-116). Suppose f = -7 + 3. Sort p, c, f in ascending order.\nAnswer: f, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -367668 (base 11) to base 13.\nAnswer: -174673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afaa when four letters picked without replacement from hafahaahhhhf.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*k**5\/2 - 5051*k**4\/2 - 16506*k**3 + 28090*k**2 - 9000*k = 0. Calculate k.\nAnswer: -450\/13, -10, 0, 4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - 101*i + 3. Let b(y) = y - 1. Suppose 17*m - 25 = 26. Let a(s) = m*b(s) + c(s). Let l(u) = -u. What is l(a(n))?\nAnswer: -2*n**2 + 98*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o**2 + 2*o + 3. Suppose 18 = 6*j - 3*f, 5*j - 4*f - 2 - 10 = 0. Let w(g) = 6*g**2 + g + 3. Calculate j*h(p) - 5*w(p).\nAnswer: -2*p**2 + 3*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*d = -4, 3*s - d + 1 + 1 = 0. Suppose -2*y - 5*h + 122 = s, 0 = h - 3 + 7. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 10:39 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.677 + -0.67700096. What is t rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29081*u**5 + 29873*u**2 wrt u.\nAnswer: 1744860*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0006, -1\/8, 0.2, 122, -4 in increasing order.\nAnswer: -4, -1\/8, 0.0006, 0.2, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17410415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38745 and 21.\nAnswer: 38745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 325957, 653582, 981205, 1308826?\n\"Answer: -u**2 + 327628*u - 1670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -768.1339 - 16.4761. Round w to the nearest integer.\nAnswer: -785","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15146436 by 3.\nAnswer: -5048812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2\/5 (b) -1 (c) -0.04 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*(1 - 1 - 2*o)*(4*o - 2*o - o**2 + 4*o).\nAnswer: -4*o**3 + 24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 24426, 8.7, 1\/4, 25 in decreasing order.\nAnswer: 24426, 25, 8.7, 4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49373833*v**2 + 33005020.\nAnswer: -98747666*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 287628.5us?\nAnswer: 287.6285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 7:49 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzav when four letters picked without replacement from azzovvzozorvzz?\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (30\/45)\/(2\/(-3)). Let c = k - -3. Let p be 10*1*c\/4. Solve 2*o = o - 2*q + 10, 5*q - 35 = -p*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 32797.\nAnswer: 3\/32797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 17 + 4*a**2 - 2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) - (1 + sqrt(50)))**2 - (sqrt(98) + -1).\nAnswer: -7*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6260 = 1094*i + 714*i - 58692 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 6. Let i = 3.2 + -3. What is the nearest to -1 in i, 0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q + 2. Let r be z(-6). Let d be 6\/(-15) + r\/(-5). Is -9 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8803392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/188)\/3 + (-4888)\/(-11045).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/7 and (-6)\/(-2) - (-78)\/(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60841\/5 + 12215. Let p = 47 - t. Put 0.1, 1, p in decreasing order.\nAnswer: 1, p, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t - 31. Suppose f + 4*f - r + 3201 = 0, 5*f + 5*r = -3195. Let j be (2\/4)\/((-20)\/f). Let w be o(j). Do 18 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7794*g**5 + 2*g**4 - 47*g**2 + 20*g + 3409 wrt g?\nAnswer: -155880*g**3 + 24*g**2 - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 9:54 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2296, 4, -1, -5 in decreasing order.\nAnswer: 2296, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/14 - 5\/28. Which is the fourth smallest value? (a) j (b) 4 (c) 2\/17 (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6\/2197 - 239353\/43940. Let y = 18529\/1496 - 2\/187. Calculate the common denominator of a and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171044 is divided by 2803.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 1129*x - 5661. Calculate w(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 51*t + 5. Let x(a) = 26*a + 3. Let z(i) = 3*o(i) - 5*x(i). Let h(q) be the third derivative of -q**4\/12 - q**2. Determine h(z(g)).\nAnswer: -46*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326*x**2 - x**3 + 47*x**2 + 126 - 126.\nAnswer: -x**3 + 373*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4991, -19971, -44939, -79895, -124839, -179771, -244691?\nAnswer: -319599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (21\/98)\/((-20)\/(-154)) and -13\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 8424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 2*z - 2, z + 5 = -6*x + 9*x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, c: 1, v: 1, m: 1, k: 6}. Give prob of sequence kikv.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39.417 + 1.\nAnswer: -38.417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11009, -2, -1 in decreasing order.\nAnswer: 11009, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 33*d - 59. Find the third derivative of 6*q**2 - 31265 + 31263 + 251*q**6 - 71*q**d wrt q.\nAnswer: 30120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 90423644 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q**4*z**3 - 26*q**2*z**3 + 5*q**2 - 429*z**3 wrt q?\nAnswer: 4*q**3*z**3 - 52*q*z**3 + 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.8 plus 8826688?\nAnswer: 8826641.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -35 - 23. Suppose -6*r - 96 = -216. What is the remainder when d is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47510548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*m**2\/3 + 1155682*m\/3 + 288920\/3.\nAnswer: 2*(m + 144460)*(4*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 204 in 5, -5, 3, -2, 0.9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.3 and 0.1513?\nAnswer: 0.19669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21313512 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/12)\/((-4)\/30). Suppose -4*t = -3 - y. Suppose 2*l - z = -1, -t*l - 3 = -l - 3*z. Solve l*r = -3*r + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 60 = -s - 5*u, 5*s = 5*u + 40. Suppose 4*i + 74 = s. Let v be 1 - (20\/i - -3). What is the nearest to -1 in 5, v, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 34 = -144. Let m(b) = 9*b + 6 - 4*b + 4*b - 3*b + b**2 + 6*b. Calculate m(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/28 + (-313)\/7. Let b be (-395)\/q - 4\/(-18). Solve -2*g + 2 = -4*u, 3*g - 4*u + b*u = 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**3 - z**2 + 1. Let t be g(2). Let c(o) = o**3 + 45*o**2 - 92*o + 157. Let s be c(-47). Calculate the highest common factor of s and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -12*q + 7. Let w be f(6). Find the common denominator of -83\/8 and w\/(7\/((-7)\/2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 28 = 4*g - 188, 0 = -3*g - 3*j + 93. Suppose 3*f = 2*k + 23, 2*f + g = 5*f - 5*k. Suppose -25 = -f*c + 45. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-54)\/(-14) + 8\/56. Suppose -2*h + 0 - u = 0. Let v = 6 + h. Let n(q) = q**3 - 5*q**2 + 4*q - 5. Calculate n(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 7. Let i be -6 + 7 - 6\/(-2). What is the units digit of j(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 0*i**5 + 0*i**3 - 1\/210*i**7 + 0*i**6 + 0 - 1\/24*i**4 + 0*i - 4*i**2. Find the second derivative of z(n) wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/8060 and -133\/4030.\nAnswer: 8060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1125845515?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 237, -4, -39, -35, 2, -2.\nAnswer: -39, -35, -4, -2, 2, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.19 (c) -1\/4 (d) -2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(304) + 2).\nAnswer: -12*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.14643 * -2675.\nAnswer: -3066.70025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -359307 (base 11) to base 4.\nAnswer: -2022312003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -141 * 61.\nAnswer: -8601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + t - 3. Let v be a(-3). Suppose 4*c = v, -4*c + 3*c = -b + 44. Let f = 69 - b. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w - 1. Let b(t) = 5*t**2 + 3*t. Let m(s) = -s**2 - s. Give w*b(o) - 6*m(o).\nAnswer: o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - w + 409 = 0, -5*z + w = -w - 1000. Suppose -3*s - 2*l + 134 = 0, -4*s = -2*l - 0*l - z. Calculate the greatest common divisor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 1996531?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 17*m - 12. Let c(q) = 17*q - 10. Determine 4*c(d) - 3*h(d).\nAnswer: 17*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*t**4*w**2 - 142*h*t**4*w + 12*h*w**2 + 2*h wrt t.\nAnswer: -4*h*t**3*w**2 - 568*h*t**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 32 = 5*y, -f - 3*y - 3 = 5. Calculate the highest common divisor of f and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*b = 1244 - 432, -b = -5. Find the common denominator of 2\/(-11) - 586\/o and -1\/93.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1771 * 57339\nAnswer: 101547369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -f + 12 + 8, 5*f = j - 30. Suppose 0 = -a - 4*r + 39, a - 67 = -a + 3*r. What is the highest common divisor of a and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.595ml to litres.\nAnswer: 0.062595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1071 and 3808?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 9:51 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 9 + -58 + 31?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 4:06 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 181*z**2 + 185*z**2 - 364*z**2 + 4*z**3 to the form j + d*z + h*z**3 + i*z**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z + 4. Let l be ((-1)\/2)\/(2\/72). Let y be (-1)\/(l\/15 + 1). Let a(w) = -6. Let d(h) = 6*h - 138. Let q(b) = 24*a(b) - d(b). What is y*q(v) + 8*s(v)?\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -6. Let k = -2209 + 2215. What is the remainder when k is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.142, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145323029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 606829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 7*d = 4*n, -5*d - 4*n + 40 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 10*j**2 - 91*j - 872. Suppose 2*u = r - 40, 3*r + 0*r = -2*u + 120. Calculate the lowest common multiple of r and f(-11).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*m + 511*m + 36940 + 23900 = -376*m for m.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73580970 to the power of 1\/2, to the nearest integer?\nAnswer: 8578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(0 + 0 - 2*t**3)*(23*t**2 - 715 + 715).\nAnswer: -138*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 381*d**2. Let u(k) = 3*k**2. What is m(u(t))?\nAnswer: 3429*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -153 + -77 + 39 + 98?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, g: 2, a: 6, y: 3, s: 1}. Give prob of picking 1 a and 1 g.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43064 and 56?\nAnswer: 43064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 3. Let q be d(-6). Suppose -q*z = 3*i - 7*i + 17, 1 = -4*i - 3*z. Which is smaller: i or 17\/15?\nAnswer: 17\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 10 - 5) + 9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + 788500.\nAnswer: 788506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 251 + -243. Calculate the remainder when 182 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**3 - 11*p**2 - 7*p + 6. Let j be f(6). Solve j = 2*w + 8, -3*c = 2*w + 1 + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u - u - u)*(-5 - 5 + 12044*u**2 + 10 + 0).\nAnswer: -96352*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*k - 3479 = -546*k + 383*k - 12971 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -6 + 21. Suppose -3*i = -0*t + 3*t + n, 0 = -3*i + t + 9. Suppose 5 = -4*l - 3, -3*q - i*l + 80 = 0. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.4255839 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*((0 - 0) + 1). Suppose 3*b - 455 = -4*b. What are the prime factors of n*(1 + b + 4)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7661, -32842, -75543, -135764, -213505, -308766?\nAnswer: -421547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 201.7 (b) 0.4 (c) 3 (d) 17744 (e) -1\/4 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 0.2 (b) 4 (c) -2\/15 (d) 21 (e) 0.1 (f) -172\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 + -15 + (10 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5\/2 - 121*b**4\/2 - 58*b**3 + 242*b**2 + 240*b = 0.\nAnswer: -120, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -9*l - 23. Let o be b(-3). Solve -2*h + o = -2*x, 4*x - 2*h + 8 = 3*h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4298927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-303704)\/(-10))\/(4\/10) + 5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1217 = -13*n + 1045. Suppose 0 = 13*v - 450 - n. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4267460 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -243*i**4 + 4887*i**3 + 72906*i**2 + 273120*i + 297600 = 0. Calculate i.\nAnswer: -40\/9, -2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 5*d**2 + 3*d**2 - 3 - 4 in the form u + k*d**2 + x*d and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 62*f**2 - 940*f - 43. What is a(35)?\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 370 + -247. Let q(b) = -573*b + 1. Let y be q(-1). Let d be (y\/x)\/(((-1)\/(-900))\/(-1)). What is d rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ypflhpl. What is prob of picking 1 h, 1 f, and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 243632.95 times -0.1?\nAnswer: -24363.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {f: 2, h: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -619*c + 674 - 2131 = 400 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 16) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*m + 74*m**2 - 75*m)*(0*m + 0*m - 2*m + (2 - m - 2)*(2 + 4 - 3)) + (3 - 3 - 3*m)*(3*m**2 + 0*m**2 + m**2).\nAnswer: -382*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/18 + 2)*17\/((-2295)\/(-18))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2246074?\nAnswer: 2, 17, 31, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -295810*j**3*p**3 - 51*j**3 + 35*j**2*p + 91*j**2 - 5*j*p**3 - 2*j*p**2 - 3*j*p - 11*p**3 wrt p.\nAnswer: -1774860*j**3 - 30*j - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-277 - 0)*2*17\/(-2).\nAnswer: 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -56*b + 23. Let v be s(16). Is (v\/(-6))\/((-75)\/(-1150)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 0. Let j be 32\/(-56) + (-3254)\/l. Let a = j + 444. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-26 - -15) + 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -27 and 63.8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 1. Let m(x) = -8*x**3 + 9*x**2 - 11*x + 9. Let s(q) = -m(q) + 6*w(q). Let i(f) = 3*f**3 - f**2 + 4*f - 1. Give 11*i(d) - 4*s(d).\nAnswer: d**3 + d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.22, 1, 4, -3\/4, 1\/2 in increasing order.\nAnswer: -3\/4, -0.22, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -307 + 167. List the prime factors of (j\/(-6))\/(4\/6).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -18, 2\/3, -1.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/1751, -4, 0.01, 1 in decreasing order.\nAnswer: 1, 0.01, -2\/1751, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 8\/25 and -20.5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40803 (base 11) to base 15.\nAnswer: 12990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.06 (b) -4\/5 (c) -124 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1081.5 + -1086. Which is smaller: t or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 246733, 246732, 246731?\n\"Answer: -o + 246734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 178 - 17 = -2*f, f + j = 100. What is the common denominator of (f\/196)\/((-6)\/4) and (-1 - -1) + (-3)\/(-9)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3760961 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 p = -47829512295 - -47829511970.00000131. Let c = 324.9274 + 0.0726. Let o = p + c. What is o rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9945655?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 17 = 3*t - 2*p, 2*p + 90349 = 5*t + 90317 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16184870 by -5.\nAnswer: -3236974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51457425*s**5 + 233985815*s?\nAnswer: -1029148500*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*l**2 - 823*l**2 + 259*l**2 + 261*l**2.\nAnswer: -61*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -678 + 8*b - 2*b**2 - 686 + 1363 as l*b**2 + y + q*b and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3350 - -167?\nAnswer: -3161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.2954 - 0.9\nAnswer: -0.6046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1350, -4935, -10910, -19269, -30006, -43115?\n\"Answer: x**3 - 1201*x**2 + 11*x - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1129 + 535 + 529)*(-2*p + 3*p - 3*p + (4 + 0 - 3)*(3*p - 3*p + p)).\nAnswer: 65*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2*u + u - 16, 5*b + 14 = u. Let k be 2 + -1 - 1*-7. Let h = k - b. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -35. Suppose s*o = 7*o - 762. Let v = o + 434. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 3*n + 9, -44 = -4*n + 3*r - 52 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -158, -295, -432, -569?\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 28. Let a(t) = -23*t - 18*t**2 + 28*t**3 - 51*t**3 + 22*t**3 + 5 + 14. Is 18 a factor of a(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690518 rounded to the nearest ten thousand?\nAnswer: 1690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -603*g**2 + 8379*g + 846. Determine i(14).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192 - 176.\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 12152 + 13216. Calculate the remainder when 274 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.035 + 0.051. Let i = c - 0.044. Let p = i - -0.01. What is p rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.5*146624.\nAnswer: -1686176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8869249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 1\/20*u**5 - 1\/6*u**3 - 2*u + 0*u**4 + 0 + 1\/24*u**6 + 0*u**2. Let p(l) be the second derivative of i(l). Solve p(k) = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (72\/66)\/6 + (-603)\/(-11). Suppose -p + 775 = 10*h. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -5*m - 3*k - 15, -2*m - 22 = 3*k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from {r: 1, h: 1, a: 2, c: 1, l: 2, o: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 129425*r*s**4 + 9*r + 2*s**4 + 30886*s**2 wrt s?\nAnswer: 3106200*r*s + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 9 + -8 - (1 + 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1, -1\/5, 3\/7, 8, 0.03?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -11. Suppose i - 28 = v. Suppose -2*j = -0*j - i. Calculate the least common multiple of 12 and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1506081 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6526, 6530, 6536, 6544, 6554?\n\"Answer: a**2 + a + 6524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172\/7*j**4 - 144\/7 - 736\/7*j - 692\/7*j**3 - 1124\/7*j**2 - 12\/7*j**5 = 0 for j.\nAnswer: -9, -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -542?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5506168?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d = 2. Suppose -3*a - 71 = -0*a + d*s, -2*s - 17 = a. Let n be (-2)\/((-14)\/(-35)) + 2. Is a equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 5 + 1. Let y(u) = -u**2 - 5*u - 4. Let z be y(x). Suppose -o = -f + 446, -z*f = -2*o + o - 889. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7964 and 1012.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24899682 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/2469, 2, -0.2, 1\/39?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 10:04 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -14*m. Let c(n) = 29*n**2 - 2*n - 2. Let i(z) = -640*z**2 + 45*z + 45. Let u(t) = -45*c(t) - 2*i(t). Determine u(k(f)).\nAnswer: -4900*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/5)\/((-26)\/((-47840)\/(-69))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*v**3 - 152*v**3 + 79*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*k - 4 = 0, -31 = 5*r - 3*k - k. Let p = 617 - 6788\/11. Which is the biggest value? (a) r (b) p (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*x - 93*x + 364. Let i be ((-16)\/(-6))\/(2\/27). Let y = i + x. List the prime factors of y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0535 - 0.4535. Put -15, -2, r in ascending order.\nAnswer: -15, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 - 9829940*o**2 + 4831386020180*o.\nAnswer: 5*o*(o - 982994)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-5)*l*l**(1\/8))**(-6\/17)\/(l*l*l**(-2)*l**1)**(3\/14) assuming l is positive.\nAnswer: l**(381\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20a38 (base 11) to base 8\nAnswer: 73505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9016 - 9002. What is the highest common factor of 3283 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*u**5 + 8857*u**3 + 30*u + 16279.\nAnswer: 1060*u**3 + 53142*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = 2*c. Let g(d) = -1109*d + 6 + 1103*d - 8 - 10. Does 24 divide g(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93 - 43 - 5 - 83\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36022889*c**3 - 16652239*c.\nAnswer: -216137334*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -l + 5, -2*l = -5*v + 10. Let a(w) = 50*w - 56. Suppose 14 = 4*n + 6. Let p be a(n). Calculate the highest common divisor of p and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27901, -27606, -27311, -27016, -26721?\nAnswer: -26426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*s**4 + 2*s**4 + 0*s**4)*(-1 - 1 + 4) - 3*s**4 + 2 - 2)*(572*s + 541*s + 253*s).\nAnswer: -6830*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20463, -81837, -184127, -327333, -511455, -736493, -1002447?\n\"Answer: -20458*f**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 8. Let o be h(6). Let f be o - -1 - 5*-1. Find the second derivative of -2*p**4 + 0*p**3 + 0*p**3 + p**f - 4*p wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 809.02 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55733?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a tonne in kilograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007598196 rounded to 7 dps?\nAnswer: -0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-10\/7)*u**(1\/5))\/(((u*u**(1\/15))\/u*u*u)\/(u*u\/(u\/u**(-3\/14)))) assuming u is positive.\nAnswer: u**(-527\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -171596*s**4 + 222*s**2 - 11714309*s.\nAnswer: -2059152*s**2 + 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8645\/(-13832)*120\/1.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -31.8. Let g = -30 + 51. Suppose -g = -4*o - 3*o. Put x, 14, o in descending order.\nAnswer: 14, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19173193 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 351\/(-30)*(-160755)\/(-90). Let c be ((-48)\/10)\/(6\/26115). Let n = c - z. Find the common denominator of 149\/12 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5*(1 + 3 + -4 + (-4 + 1*sqrt(700) - sqrt(700)) + (sqrt(700) - (1 + sqrt(700))) + -2))**2.\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + -29 + -15 - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(3))*-6 - (sqrt(12) + 0)) + (-4 + sqrt(9)\/sqrt(3) - -1*(-1 + sqrt(3))))**2.\nAnswer: -12*sqrt(3) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2, 3*b - 16 = -5*o + b. Suppose -o*u + 3*x = 8*x - 722, -923 = -5*u + 4*x. Let j = -100 + u. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 1. Let p(c) = -c**3 + 14*c**2 + 32*c + 74. Let r(n) = -k(n) - p(n). What is the units digit of r(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 10*f + 11. Give a(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o + 8. Let v(l) be the first derivative of -l**5\/120 + l**4\/8 - 7*l**3\/3 + 8. Let m(y) be the third derivative of v(y). Give -4*h(a) + 11*m(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11403932 divided by -11403932?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 11. Calculate v(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(-k - k - 2*k) - 5*k + k + 3*k + 27*k + 31*k - 41*k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - -0.1. Let z = -0.7 + l. Let j = 8059 - 8060. What is the nearest to j in 1\/9, z, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222 + -2122?\nAnswer: -3010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19593 divided by 6531.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -65306.\nAnswer: -1306.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 + (-1180)\/(-165) - 24\/(-132). What is the nearest to p in 0.2, -3\/2, 8\/3, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 202845893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1439 divided by 5.\nAnswer: -1439\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*b - 50 = -13, 0 = -3*t - b - 22. Let r be 20\/2*(-1)\/1. Let w = t - r. Solve -2*g - 3*x + 8 = w, -4*x = 2*g - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54434 is divided by 1008?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/(-10 - (-413)\/42)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 109\/12. Let i = -90 + 89.4. Put -2\/11, x, i in increasing order.\nAnswer: i, -2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d**3 + 6420*d**2 + 160743*d + 45402 = 0. What is d?\nAnswer: -23, -2\/7, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zflzzxzlfbbfzeb. Give prob of picking 1 l, 1 b, and 1 e.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.99 + -1.99. What is the second smallest value in 3, w, 2, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -462, -1\/5, -2\/7, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**3*x**2 - 14641*b**3*x + 2*b**3 - 12*b**2 - 591*b*x + x**2 wrt b?\nAnswer: 18*x**2 - 87846*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 14*m + 15*m = 1 + 3, -m = m + 12 - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 183*v - 166*v. Let w = -1 + 2. Sort w, -2, v.\nAnswer: -2, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.121829 rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxxxxxlxxxxxxxxxxxx.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 118924.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -714 or -720?\nAnswer: -714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, -51 in descending order.\nAnswer: 8, 5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 17\/10 of a microsecond?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 286 - 283. Let s = -444 + 447.09. Let y = s - w. What is y rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34529 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 h(m) = 10*m**2. Let z(y) = 3*y**2 + 3*y**2 - 6*y**2 - y**2. Calculate h(z(o)).\nAnswer: 10*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 1\/8, 4, -8, 587060?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 21307 (base 8) to base 7\nAnswer: 34646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 4*g**2 + 6 + 0 - 5*g - 9 to f*g + n*g**2 + a and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20626360, 20626204, 20626062, 20625940, 20625844, 20625780?\nAnswer: 20625754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*w = -23, -2 = 3*p - 3*w - 17. Let x(i) = -i + 2. Let k be x(p). Let s = 0 - -1. Put s, 5, k in ascending order.\nAnswer: k, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*c + 6. Suppose 0 = 3*q - s - 12 + 4, 5*q + 2*s = -5. Let p be 20\/c - q\/(-3). Sort -1\/3, p, -5\/2.\nAnswer: p, -5\/2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x + 2*x)*(0*x + 0*x + x + 17)*(x - 17 + 17).\nAnswer: 2*x**3 + 34*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 65773956 divided by 16443489?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*y - 2*y. Suppose -4*c = 15 - y. Does 27 divide ((-1)\/1)\/(c\/201)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-33 - ((25 - 19) + -18))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**6\/30 + 2*m**4\/3 - 4*m**2 - 6*m. Let r(q) be the first derivative of v(q). Factor r(a).\nAnswer: -4*a*(a - 2)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1948 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14290 + -5873. Calculate the remainder when c is divided by 138.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 72950\/225 + 4\/(-18). Let j = r + -322. Put j, 16, 1 in descending order.\nAnswer: 16, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/147 - -41\/147. Let r = -1\/90 + -169\/990. Let h = 0.3 + 0. What is the second smallest value in r, f, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 139 (b) 9438 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 296 and 22.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2*a - 682, -i + 51*a = 46*a - 329. Calculate the highest common factor of i and 301.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -953*r + 1291*r = 12168 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -d - i + 8, 4*i + 16 = 0. Suppose -3*t + 100 - 7 = d. Suppose 5*w - t = 24. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -236*f + 126*f - f**2 + 95*f - 14. Calculate x(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 1. Let x be d(4). Calculate the greatest common factor of x and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.30444 kilometers in meters?\nAnswer: 18304.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29927 times 0.64?\nAnswer: 19153.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49787\/11 - -9043\/2. What is the common denominator of -79\/10 and k?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26390125 to the power of 1\/2, to the nearest integer?\nAnswer: 5137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i**2 - 3*i - 6 - i**2 + 4*i - i**3. Let z be a(-2). What are the prime factors of (1 + -29)*((-28)\/z - 2)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11803 + 22510. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -119.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*v - 3*v + 50. Let f = 24 - 24. Let y be -255999 + f + 9 + v. What is y rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 + 101110110011111000?\nAnswer: 101110110100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.47 + 20785?\nAnswer: 20783.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 841554.8 micrograms to nanograms.\nAnswer: 841554800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42110692.\nAnswer: 2, 13, 809821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2348779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 0 + 0*m**4 + 1\/210*m**7 + 0*m**5 + 2*m**2 + 0*m + 1\/2*m**3 + 0*m**6. Find the first derivative of w(u) wrt u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -g + 1. Suppose 0 = g*p - 4*c - 6, 2*p + 3*p + c = 15. Suppose -p + 93 = 5*r. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y - y**4 + 2110*y**2 - 2 - 2110*y**2 as r*y + d*y**3 + s*y**4 + m + f*y**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 10. Suppose -4*s = -5*s + 2. Suppose -s*x + 35 = 3*x. Let d be t(x). Solve 5 = 2*a - 5*r, -d*a + 3*r + 12 = -0*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + -38. Let i be s\/(-6)*-4 - (-64 - 1). List the prime factors of 18\/i - 1340\/(-14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k - 12. What is q(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 * 0.1876522\nAnswer: 0.045036528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 2763*v - 5850930.\nAnswer: 3*(v - 1931)*(v + 1010)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2220.69 centimeters to nanometers.\nAnswer: 22206900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, v: 2, a: 1, q: 2, s: 1, n: 2}. Give prob of picking 1 y, 1 n, and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 686374 and 2243915.\nAnswer: 58341790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -623, -1699, -2765, -3815, -4843, -5843?\nAnswer: -6809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*c - 1634 = 318 + 136 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r + 3. Let c = 2325 - 2327. Give w(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 3*j - 2*j)*(2 - 2 + j**3) - j**4 + 5*j**4 - 3*j**4 + (0*j**4 - 3*j**4 + 2*j**4)*(0 + 0 - 1) + 2*j**4 - j**2 + j**2 + 26*j**4 - 6*j**4 + 10*j**4.\nAnswer: 33*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691398?\nAnswer: 2, 3, 71, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-144835286212)\/(-45990516) + -1 - -3. Let t = -16\/348413 + n. Let q = 3151 - t. What is the common denominator of q and -62\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 0.2, -3\/5, 14\/27, -72?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**3 - 960*m**2 - 18374400*m + 16727040000 = 0.\nAnswer: -2400, 1320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((56\/(-20))\/7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*q + q + 2*q)*(-2 + 0 + 1) + q + q - q)*(-1 + 0 + 2).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1216259 is divided by 69?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/2)\/3)\/((4234\/580)\/(-73)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20449721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 448730641283?\nAnswer: 448730641272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24026056 to the nearest integer?\nAnswer: 4902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -14\/5171015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 253 - 148. Let g = v - 105.3. Which is the smallest value? (a) -1 (b) 1\/5 (c) g (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91 + 96. Suppose -2*k = -z*k + 5*n + 1430, -3*n = 4*k - 1868. What are the prime factors of k?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 27. Let f(i) = -b - 2*i + 19 + 13*i. Let l(v) = 5*v - 4. Let q be 6 + 1 - 0\/1. What is q*l(n) - 3*f(n)?\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = i - 6, -b - 5*i + 60 = 0. Suppose -4*q = 2*p - 40, 0*q - 4*q + 80 = 4*p. What is the highest common factor of p and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1260919*b**3 + 1260920*b**3 - 1 - 67*b + 1.\nAnswer: b**3 - 67*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11858385.08133 + -3?\nAnswer: 11858382.08133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 4\/3, 2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 24294215.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/78 and 123\/20.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.3474 millilitres to litres.\nAnswer: 0.0393474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3509030739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 5*i**2 - 3*i - 2. Let l(m) = -4*m - 13. Let t be l(-8). Suppose 0 = 2*q - 11 + t. Calculate y(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 + -21. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 826*x - 21138. Determine k(29).\nAnswer: 2816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, w: 1, a: 1, v: 2}. What is prob of picking 1 w and 2 v?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*288.\nAnswer: 10080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 53*h - 104. Let d be u(2). Solve -9 = -g + f, -2*f + 9 = d*g + 11 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 10:34 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 + 8*i**2 - 8*i**2 + 31*i**2 + 9*i**2.\nAnswer: 38*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 6*m**2 - 26*m + 20. Let q be n(-9). Suppose -q*c = -g - 15*c - 6, c + 4 = 0. Solve 0 = -2*x - g*l + 5*l - 13, -4*x + 2*l = 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 581, 582, 583?\n\"Answer: a + 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1898 - -2662. Let t be (d\/(-6))\/((-2)\/1068). Suppose 4*g - 3*c - c = -t, 5*c - 16995 = g. What is g rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 19 = 13. What is the remainder when 2 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735245 is divided by 184.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 22496041*h**2. Let z(w) = -16*w. Determine z(m(l)).\nAnswer: -359936656*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 8376*q - 21239008.\nAnswer: 4*(q - 1484)*(q + 3578)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 p when three letters picked without replacement from ufuuwfpupwppwwwwywy?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (-52)\/8 - (-6)\/12. Let g(b) = 4*b - 1. Let s be g(-1). Is 5 a factor of (n\/(-10))\/(s\/300)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 772, 3133, 7064, 12565, 19636, 28277?\nAnswer: 38488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756*s - 755*s = -3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q - 3. Suppose -6*k + 2*k - 52 = 0. Let y be k + ((-3)\/3 - -3). What is the units digit of x(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/((-1)\/3) - 19)\/(-1). Let g be (1\/(-4) + 4\/b)*1. Solve g = -3*m - 2*m + 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 + 72. Solve -3*o + 7 = w - 1, -t = -3*o + 2*w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*26.6\nAnswer: 7.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 230 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00795740695 rounded to seven dps?\nAnswer: 0.0079574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**3 + 2*j**2 - 3*j + 2. Let u be f(1). Is 17 a factor of (-18711)\/(-27) - 8\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 3*b**2 - b + 4. Let v be u(-5). Let k = -27 + 21. Let i = k - v. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1771 and 644?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2287071 - -4959.62.\nAnswer: -2282111.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 8:21 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16712*l**3 - 1029851*l**2 + 1029851*l**2.\nAnswer: -16712*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4235*-0.0303\nAnswer: 128.3205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4 + y**5 + 3*y**4 - 3*y**5.\nAnswer: -2*y**4*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 19*q = 3036. What is the highest common factor of 621 and q?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -13. Suppose -p*s = -14*s - 6. Suppose 0 = -4*f + f - s, f + 76 = 2*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.1, 815, 8 in descending order.\nAnswer: 815, 8, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iirs when four letters picked without replacement from isiiiirssrs.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 7. Let o be (0 - 1\/r)*0. Let s(d) = 40*d + 3735. Let b be s(-93). Solve -2*n + 5*n + b = o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nine tenths of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.49, -9, 5, 18, 2\/3, -0.3 in ascending order.\nAnswer: -9, -0.3, 2\/3, 2.49, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -24*r**2 + 150*r - 16. Let p be h(6). Solve p = -135*k + 125*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 107*a**7\/14 + 282*a**3 - 7*a**2 - 139. Differentiate w(m) wrt m.\nAnswer: 6420*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 10:13 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + 4 + -21 + 10 + 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184 + 375 - 8*a**2 - 191.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -850*o + 422*o + 429*o + 316.\nAnswer: o + 316","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 11*b**2 - 5*b - 9. Let t(s) = 5*s**2 - 2*s - 4. Let k = -11 + 6. Let z = k - -8. Suppose 12 = -w + 4*u, -w + 4*u = z*u. Determine w*h(j) - 9*t(j).\nAnswer: -j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 + 2161685 - 2161685 - 5*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k - 21. Let x be 2\/3 - (-10)\/30. Let c be (-2)\/((x\/(-12))\/(5\/15)). Let o be h(c). Solve -t + 4 = o*j, -4 = -5*j + 4*t + 31 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/951 (b) 10 (c) -3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 46 - ((-24)\/6)\/(-4). Let z(v) = 52 - 97 - 3*v + a. What is z(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -18*w**2 - 7*w + 2. Let a(m) = -19*m**2 - 6*m + 2. Calculate 7*a(g) - 6*p(g).\nAnswer: -25*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -40 (b) -4\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = 41*l + 23*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**4\/4 + 4*s**3 - 6*s**2 + 16*s - 3784. Let g = 7 + -20. Give z(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*l - 330 = -2*l, 0 = -4*l. Let p = 206 - n. Let a = p - 122. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28232 and 28232.\nAnswer: 28232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*m = -52*m - 162. Suppose 0 = 3*i + a - 32, 2*a - a = 2*i - m. Solve 2*f + 37 = 5*t + i, 0 = 4*f - t + 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.07 (b) 3 (c) -1594\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -148. Suppose 0 = v + f - 34, -2*f = -4*v - 7*f + s. What is the highest common divisor of 20 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 6*y + 16. Let k be d(-2). Solve 15*x = 12*x + k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhntznzthdhn. Give prob of picking 1 n and 1 z.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 3)*(d**5 - 3*d**5 + 0*d**5) - d**2 + d**5 + d**2 + (2*d**3 - 5 + 5)*(0 + d**2 + 0).\nAnswer: -3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, h: 1, k: 1, v: 1, m: 3}. Give prob of picking 3 m and 1 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 546 = 6*d - 3*d, d = p - 133. Let n be (-25)\/p*8\/(-10). Is n < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -155 (b) -1\/26 (c) 1\/3 (d) -3 (e) 1.2 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1636, -6549, -14738, -26203?\nAnswer: -40944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431 is divided by 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-3)\/2)\/((-4)\/76 + (-2158422)\/(-41055504))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*r**2 + 19 - 6*r**2 + 12*r**2 wrt r?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1544638 and 158404.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + o)*(1 + 1 + 0)*(4*o - 64 + 64).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0329 from -1077879.\nAnswer: -1077879.0329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 694, 693, 692, 691?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 10. Let o(n) = 6*n - 43. Let x be o(7). Let b(q) = 1. Give x*s(p) + 5*b(p).\nAnswer: -p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**3 + 54184*z**2 - 10037202*z + 9983016 = 0.\nAnswer: -27276, 1, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/6 + 53\/((-31005)\/(-300)). Let k = -29.4 - -26. Let w = k + 3.8. Which is the biggest value? (a) w (b) u (c) -5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x + 10. Let c be k(5). Let f be (-5)\/(-2 + c + 1). Suppose g - 4*i = -15, 4*g - 2*i - i = f. Sort g, -2\/11, -5 in ascending order.\nAnswer: -5, -2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.091 plus 128152786?\nAnswer: 128152786.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/((-2)\/2*1) - -769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150 divided by -50.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -328 - -578. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/14 and 4371\/2632*-8*(-1)\/(-342)?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1378, 1377, 1376, 1375, 1374?\nAnswer: 1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**4 - 9*i**4 + 33*i**4 + 2*i**4 + i**4 - 2*i**4 + (0*i - 3*i + 5*i)*(-i**3 + i**3 + 2*i**3) + (-3*i**3 + i**3 + i**3)*(-6*i + 2*i + 2*i).\nAnswer: 35*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = x - 0*x. Suppose x*a + 24 = a - 5*v, -20 = 5*v. Let w be (a\/(-35))\/(39\/(-15) - -3). What is the third smallest value in w, -0.01, -1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102*h**5 + h**4 - 149*h**2 - 2.\nAnswer: 6120*h**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1, -2, -5, -10, -17, -26, -37?\n\"Answer: -x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t. Let c(l) = -30*l**2 - 4*l + 19. Calculate -c(v) - 5*f(v).\nAnswer: 30*v**2 - v - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26015307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {q: 7, d: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -314 from 0.1835.\nAnswer: 314.1835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2168472\/43469 - 8\/2557. Let p = -50 + i. Do p and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -13*k**4\/3 + 971*k. Let d(i) = 5*i**2. Determine x(d(h)).\nAnswer: -1300*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 23. Let i be f(-20). Let p be (-1)\/(124\/(-40) - i). What is the greatest common divisor of 50 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (1\/(-1) - 1). Suppose -2*l + 3 = -5*l. Find the common denominator of q\/l - 214\/36 and -27\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 + 85. Suppose 0 = -5*t + b. Suppose -16 = -t*i - 1. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + -3 + 0 + 7. Suppose y*v - 259 + 39 = 0. Let r = v + -52. Round r to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*v**3 + 65*v**3 - 22*v**3 + (-2 - 3 + 7)*(24*v**3 + 126*v**2 + 45*v**2 - 23*v**3) to the form x*v + q + y*v**2 + r*v**3 and give r.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5*v**3 - 4\/5*v**2 + 0 - 4\/5*v**4 - 1\/5*v - 1\/5*v**5.\nAnswer: -v*(v + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9462 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -b324935?\nAnswer: b324938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*r**2 - 22*r - 24*r - 10*r**2 + 49*r.\nAnswer: 14*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32166767 * -5.\nAnswer: 160833835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/(-110) - (-366)\/610.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (180\/126)\/((1\/(-2) - 742\/(-1372))\/(-2))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 8:16 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3213256.23635 take away -48?\nAnswer: 3213304.23635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 1. Let s(m) = -5*m - 2*m - 8*m + 3*m**2 + 15. Give s(d) + 15*y(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(76)*-2.\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28319?\nAnswer: 28319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 7 - 7*w + 0*w**3 + 0*w**2 + 2\/5*w**5 + 0*w**4. What is the derivative of v(o) wrt o?\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3546570224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -2 - (57 + (12 - (15 + 12) - -2))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bxbbxbbbbbxb.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 224 and 521.\nAnswer: 116704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1230 and 478060.\nAnswer: 1434180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 237415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 2 - 7*o + o)*(-1 - 1 + 3)*(199 - 91 - 67).\nAnswer: -82*o + 82","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 7*h - 8. Let d be f(-6). Let k(t) = 3*t**2 - 2*t - 1. Let b be k(d). Let r = b + -11. Calculate the greatest common factor of r and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**3 + 5*m**3 + 1804*m**4 - 1807*m**4 - 4*m**3 = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 46*u + 1060. What is h(-23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3*b**3\/5 + 4587*b**2\/5 + 463128*b + 77318640 = 0.\nAnswer: -609, -460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 180\/(-45) - ((0 - -1) + -7). Suppose -y*b = 2*b - 288. What is the remainder when b is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-9)*(-3)\/1. Let k be 20560\/360 + -57 - 348\/(-27). Solve -k*l + o = -11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 288 = 9*b - 11*b, 2*b - u = 303. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -6 - -2) + -3 + 2 - 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - t - 5. Let b(f) be the second derivative of f**2\/2 + 2*f. Calculate 9*b(q) + 2*x(q).\nAnswer: -2*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33210023 (base 4) to base 6.\nAnswer: 1211055","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 5*x + 6, -3*w - w + 5*x + 12 = 0. Suppose 0 = w*y - 5 - 10. Factor 0*f + 0*f**4 - 1\/4*f**y + 0 + 0*f**3 + 0*f**2.\nAnswer: -f**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 555 - 40. What is the remainder when u is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b - 4. Suppose 0 = -8*f + 13*f + 2*v - 39, f - 3*v = -16. Let r(n) = 3*n + 5. Determine f*r(j) + 6*a(j).\nAnswer: -3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1*-0.009.\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -340001535 and 3.\nAnswer: -340001532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 17. Suppose -2*b = -j*b - 30. Let g(t) = -5*t**2. Suppose -1 = -2*y - 3. Let u(m) = m**2. What is b*u(a) + y*g(a)?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 106.099 centuries?\nAnswer: 10609.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2046650021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcv when three letters picked without replacement from wbvcvfbz.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5 - 4 + 1 + 1 - 3 + 2 + 3 + (0 + 5 - 3)*(1 - 2 + 0) - 2 + 7 - 1 + (4 + 0 - 2)*(-3 + 4 - 3) - 5 + 5 + 1)*(0 - t + 0).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) -3\/5 (b) 2 (c) 3\/10 (d) 1134 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12454870821 + 3*s - 12454870821.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 879*t = -880*t - 10, 3*t = 2*d - 40 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/(p*p**(-1\/5)))*p*p**(1\/23)*p assuming p is positive.\nAnswer: p**(327\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 5*o - 9, o + 13 = 12 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.12 (b) -1 (c) -120 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316, -316, -318, -322?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -436, -2, 257, -6\/17 in ascending order.\nAnswer: -436, -2, -6\/17, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 22?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 23. Suppose k - 2*q = 16, 5*q + 2 = k - g. Find the first derivative of 1 - k*u**2 - 4 - 3 wrt u.\nAnswer: -44*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 5 (c) -2\/3 (d) -522\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2053)\/21 - 20\/(-15)) + 6\/14. Which is bigger: p or -1519\/16?\nAnswer: -1519\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-60)\/(-1100))\/((-18)\/8). Which is bigger: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1709, 1, 5, 3 in descending order.\nAnswer: 1709, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -11. Let z(k) = -2*k**2 - 5*k - 3. Let t(j) = 4*j**2 + 9*j + 5. Suppose 349*n - 346*n = 12. Give a*z(o) + n*t(o).\nAnswer: 2*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n + 4. Let a(m) be the first derivative of -7*m + 11\/2*m**2 + 4. Let z(s) = -3*a(s) - 5*o(s). Calculate z(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 smaller than 9416.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.8845566195 rounded to four decimal places?\nAnswer: -0.8846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1262, 2352, 3120, 3404, 3042, 1872, -268?\n\"Answer: -27*o**3 + o**2 + 1276*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 180\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 23. Let m be t(-18). Let o be 2\/m + 15\/25 + -3. What are the prime factors of 1132*(-6)\/(-48) + (-1)\/o?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5903 + 5915. Solve -41*q - 5 = -45*q + x, 3*q - g = -2*x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + g + 55 + 75 = 0, 4*c - g - 105 = 0. Find the second derivative of -12 - 18*t**3 - 12 - 4 + 2*t - c*t**3 wrt t.\nAnswer: -258*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/7 + -1 + (-1242)\/(-3024). Which is the nearest to 0.1? (a) f (b) 5 (c) -4\/3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2. Suppose l = 3*l. Let o be ((-18)\/21)\/3 + (-18)\/(-63). Let n(x) = 3*x + o*x + x + l*x. Calculate y(n(r)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 bigger than -977\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**4\/4 + 14*z**3\/3 + 12*z**2 - 12. Let a be s(-12). Suppose j + a*j = 581. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 99*g**3 - 3*g**2 - 153*g + 155. What is f(1)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35118 - 2?\nAnswer: 35116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 40*o**2. Let q(p) be the third derivative of p**7\/1260 + 11*p**4\/12 + 27*p**2. Let r(s) be the second derivative of q(s). What is r(z(m))?\nAnswer: 3200*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -126468 greater than -126468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**3 - 3285*y**2 - 719415*y - 52517295 = 0.\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - (-16 + 39) - (1 + -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 9:40 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 46\/10 - 4\/(-10). Solve -2*w - 4*m = 2*w - 4, 0 = -4*w - 5*m + p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-132*w - 137*w - 183*w - 373*w)*(0 + 0 - 1).\nAnswer: 825*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 393443*1.4.\nAnswer: 550820.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38 - -8b?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*w - 6*w, -25 = -3*b + w. Let h be (-3 - -1)\/(-1)*2. Suppose 40 = 4*o - h*s, 18 = 5*o + 3*s - 16. Calculate the least common multiple of b and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + -3 + (-1 + -14 - -9 - (10 - 6)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21034523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 4, -2\/17, 20, 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/50, 4, 2\/5, 278?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*o = 16, -2*w - 8 = o - 1. Let u be (-2 + 1)*(-4)\/(-2). Put 1, u, w in descending order.\nAnswer: 1, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 + -57. Differentiate 28 + 3*y - 6*y + c*y wrt y.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4174112 and 612?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8656 and 5768142?\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-572)\/572*(-4 + 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15468 and 0.17.\nAnswer: 2629.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-four fifths of a millennium?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.7 - -18. Let t = i - 1.2. Let k = -0.1 + t. Which is greater: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -4*l**4 + 1020*l**3 + 87324*l**2 + 171572*l + 85272 = 0.\nAnswer: -66, -1, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43217 = -b - 4*k, k = 1592*b - 1593*b + 43214. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 25*h + 18. Let z be q(6). Let i = 246 - z. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 141.03.\nAnswer: 146.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k - 20. Let c be y(11). Solve b + 6 - b**c - 2*b**2 - 9 - 7*b = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 162431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -0.087.\nAnswer: -0.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 6*f**2 + 2*f - 15. Let u be b(-4). Solve 4*l - 7*l = -s + u, -2*s + 14 = -4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 11. Let x be (s\/(-799))\/(0 - 1). Let b = -87121\/7990 - x. What is the common denominator of -3\/20 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32350589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63826 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -o**2*w + 245*o**2 - 15*w**4 wrt w?\nAnswer: -o**2 - 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3\/q**(-3\/2)*(q**0)**(-19))\/(((q**(2\/19)\/q)\/q*q\/(q*q*q\/(q*q**(-5))))\/((q\/(q**(-5)*q))\/(q*q*q*q*q*q\/(q**(-2\/3)\/q)))) assuming q is positive.\nAnswer: q**(1109\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)*6)\/(-2*sqrt(175)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (279*w - 665*w + 218*w)*(3*w - 4*w - 2*w).\nAnswer: 504*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgqcxbh. Give prob of sequence cq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 22*n**2 + 19*n - 23. Let g be s(-21). What is the tens digit of 108\/15*(g - 2 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 268 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11021221221 (base 3) to base 11.\nAnswer: -58570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018312 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g. Let v(m) = -1535*m + 1. Give a(v(l)).\nAnswer: -3070*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37501*k**6 + 1373*k**3 + 360228721*k**2 wrt k.\nAnswer: -4500120*k**3 + 8238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avavv. What is prob of sequence va?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 minus -884840?\nAnswer: 884855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 110 divided by 45353\nAnswer: 10\/4123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -318.\nAnswer: 2226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times 38.02?\nAnswer: 3.4218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375334?\nAnswer: 2, 67, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -73*t**7\/210 + 61*t**3\/3 - 122*t**2. What is the derivative of a(w) wrt w?\nAnswer: -292*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19282119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*z + z = -9, -z = -3*p + 13. Suppose p*m + 3 = 7*m. Solve 5*w - 12 = -0*w + r, m*r - 12 = -w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a millennium in years?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 2*d**2 - 7*d + 10. Let f be r(4). Suppose 0 = 19*s - f*s - 150. Suppose -l + 5*o = -s, 0*l = -2*l - 4*o + 4. Solve 0*m - l = 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1))**(-18)*((d*d**0)\/d*d)**(12\/11))**1 assuming d is positive.\nAnswer: d**(-384\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(0*(-4)\/8 - -1). Let h(g) = g**3 - 3*g**2 - 8. Suppose 0 = 6*o + 10*o - 64. Calculate the remainder when h(n) is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**8\/f**(-9))**(2\/7)\/(f**(-8)*f*f**(4\/3))**(-8) assuming f is positive.\nAnswer: f**(-850\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.014 + -88.986. Let r = 90 + q. What is the smallest value in 2\/115, r, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1544947.\nAnswer: 19, 31, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdshhsshshenssnshhh. Give prob of sequence ese.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from gqvzdzq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = -r. Suppose -b + 2*d + 10 = d, 2*b - 3*d - 25 = r. Suppose -i = h + 2, b*h = -0*h - 25. Solve i*o - 5*o = -8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(2*z**3 - z**3 + 0*z**3 + (-11 + 11 - z**2)*(-3*z + 2*z + 0*z)).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -230097558 divided by 3?\nAnswer: -76699186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2731\/2 + -1341. Calculate the common denominator of (-17)\/44*1 + (-16)\/(-64) and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210113001 (base 4) to base 6.\nAnswer: 3105253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.068 times 100.8\nAnswer: 107.6544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -9. Is ((-4)\/j)\/((-2)\/(-228)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11039 is divided by 70?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 + e?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u + 7. Let r(b) be the first derivative of 5*b**2 + 544. Calculate c(r(w)).\nAnswer: 50*w + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w = -687468 - 2111823. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + 1 + -2 + 2213 + -2204?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/8)\/(-5))\/(61\/(-122)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1530\/89 or 50?\nAnswer: -1530\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32159, 32218, 32317, 32456, 32635, 32854, 33113?\nAnswer: 33412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 1612280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 8, 2*r - 6*r + 16 = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.29*-27.\nAnswer: -7.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -w - 410 + 358, -4*w + 3*l + 77 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6172499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-153816)\/(-2958))\/((-4)\/1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -814*h**3 + 56*h - 4?\nAnswer: -4884*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 40?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -353\/4 - -84. Let n = -11\/20 + 3\/10. Find the common denominator of n and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11434101 (base 6) in base 4?\nAnswer: -1120133311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 719927*j**4 + 18*j**2 + 31029?\nAnswer: 17278248*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 15*i - 92. What is the hundreds digit of q(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28276847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.96 - 0.04. Let m be (-16 - -8)\/8*2\/8. Which is the closest to m? (a) 3 (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1304)\/256 + (6 - 1). Let r = z - -243\/32. What is the common denominator of r and 37\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 198?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 15*m + 17. Let i be j(-14). Let u be (-1)\/i - 2618\/(-33). Let r = u - 73. What is the remainder when 15 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/4103 and -3\/77?\nAnswer: 28721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-3\/2))\/o**(-1\/3))\/(o\/o**(-1))**16)**34 assuming o is positive.\nAnswer: o**(-3281\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 124940*n = 124944*n + 48, 11*n + 75 = -4*d + 4*n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 2:55 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, y: 9, w: 2}. What is prob of picking 2 y?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/7 + 466*l**2\/7 - 2837*l\/7 + 894\/7.\nAnswer: -(l - 149)*(l - 6)*(3*l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 260.6451 + -260.5. What is y rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 m when four letters picked without replacement from {n: 1, k: 2, u: 1, d: 2, c: 4, m: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 12 = -0*h. Suppose 3*q - a - 16 = -5*a, -h*q + 2*a = -58. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4630, 3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*d + 225 + 23 - 38. Solve -14*r - d - 13 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9749, -19499, -29249, -38999, -48749?\nAnswer: -58499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.1, -0.1, 0.7, 1, 2\/9?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 39152.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -10 and -13.8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1353 and -52\/41?\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 349646 and 3036?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 269249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and -13.19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 111 + 89. Calculate the highest common divisor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*a**4*b*t + 254062*a**4*t - 2*a**2*t + 4*a*b*t + 412533*b*t wrt a.\nAnswer: 432*a*b*t + 6097488*a*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -18*p + 79 - 79. Let q be h(1). Let s = 171 - q. Calculate the greatest common factor of s and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 3. Let d(p) = -3*p - 1. Let l be d(t). Let q be -1 - -20 - (1 + -2). Solve 0 = -v + l*v - q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1341790768?\nAnswer: 2, 173, 484751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7114 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 - -19) + 90 - 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 268 - 100. Suppose 5*h = -2*y + 3*h + 40, 1 = -h. What is the highest common divisor of w and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/52*2 - (-686)\/637. Sort r, 4, 26, 2 in descending order.\nAnswer: 26, 4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + ((-4 - -5) + -1)*-1. Suppose h = -2*d, -p + 51 = 2*p + d. What is the greatest common factor of 187 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50.971 - -51. Let u = -0.029000451 + b. Round u to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1110101011010?\nAnswer: 1110101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/2))**(3\/17) assuming s is positive.\nAnswer: s**(-9\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -40*v**3 + v. Let r(y) = -2*y**3 + 25*y**2 + 36*y - 300. Let p be r(13). Give l(p).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 0*s - 2*s - s**4 - 11 + 2*s**3 to the form h*s**4 + v*s**2 + x*s + y + w*s**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -71430000 rounded to the nearest 1000000?\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*w + 134*w - 140 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 406 and -19.\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.68343mm in meters?\nAnswer: 0.07568343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + ((12 - 6) + -3 - 17).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 69*w**2 + 2254*w + 2. Let h(j) = -9*j**2 - 39. What is z(h(b))?\nAnswer: 5589*b**4 + 28152*b**2 + 17045","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -27759.80958 to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*z - 2*z. Let b be 90\/21 + z\/14. Suppose -3*n + 22 = b. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 242*k**2 - 447*k + 7905. Calculate x(-240).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16046608.\nAnswer: 2, 1002913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -299 + 283 - ((10 - (5 - 2)) + -54).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50747886.\nAnswer: 2, 3, 7, 402761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15698*m - 14783*m + 1821*m.\nAnswer: -28660*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 104*g**2 + 119*g - 1141. Is 3 a factor of c(103)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u**2 - 2*u + 2. Let z be b(1). Sort 3, z, 0 in descending order.\nAnswer: 3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.04 = 0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 14492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -69228.0544+0.130352\nAnswer: -69227.924048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) 24 (c) -5 (d) 8\/3 (e) -2 (f) 1\/21\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/85 and 16\/119.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*j**4*m + 26*j**3*m**3 + 168*j**3*m - 1440*j**2 + 28*m**3 wrt j?\nAnswer: -96*j*m + 156*m**3 + 1008*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2756 divided by 689\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-10))\/((-4)\/30). Find the common denominator of 14\/(-21)*621\/92 and (-9)\/11*3\/d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-129 - 23*r + 129)*(0*r - r + 2*r)*(2*r**2 + 0*r**2 + 0*r**2) in the form o*r**2 + d + q*r**4 + j*r + l*r**3 and give q.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -471.984509 + 4151.894999. Let m = 3680 - k. Let w = 0.09 - m. Round w to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223562705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 1. Let b be -1*(-9 + 9)\/(12\/2 + -5). Let n(y) be the second derivative of -1\/6*y**4 + b + 0*y**2 + 0*y**3 + 4*y. Calculate n(m(w)).\nAnswer: -2*w**2 + 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 153624408 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2246 and 51233506?\nAnswer: 2246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-4\/7)\/f)*f**(-5))**(-6\/11) assuming f is positive.\nAnswer: f**(102\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 0 + (-12 - -4) + 2. Let q(z) = 4*z**2 + 5*z + 2. What is q(u)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -863 and 4\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**3 + 1140*c**4 + 33 - 1144*c**4 + 42 to the form p*c + n*c**4 + i*c**2 + w + s*c**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(36\/((-12)\/1))*(-4)\/(-98)\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12311 - 1?\nAnswer: -12312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15609470 or 15609472?\nAnswer: 15609472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1260\/840*5\/((-15)\/2)*6\/249?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 7*w**2 - 9*w - 95. Let y be j(-6). Let c = y + 7. What is n in 3\/2*n**3 - 3 - 6*n - 9\/4*n**c + 3\/4*n**4 = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + q + 9. Let h = -81\/40 + 809\/360. Which is the second smallest value? (a) -4 (b) q (c) h (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 935.3874 and -0.5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -37\nAnswer: -7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620199 is divided by 124039.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 6*w - 9*w + s, 47*w + 0*s = 5*s + 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2431758)\/(-42) - (-4 + (-3 - -7)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 1:35 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -2 (c) 1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 12:07 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -5. Let u = 17 - k. Solve 4*z - 4*l + u*l = 16, 14 = 5*z - 2*l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/((-189)\/6))\/(6\/(-3))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u - 45 = 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6764241 and 1562.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 5)\/(-672) + 2\/14?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 364471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 19. Let b = 4 - q. Is (-6)\/b + (-1131)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.17 + -0.03. Let l = -0.02 - -4.02. What is the third smallest value in 1\/5, c, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**6\/w**(4\/5)*(w**(-4\/5))**47 assuming w is positive.\nAnswer: w**(-162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12166358.\nAnswer: 2, 569, 10691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**6\/120 - 3*a**5\/20 - 3*a**4\/8 - a**3 - 5*a**2. List the prime factors of c(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*y**4 - 34*y**4 - 3*y**4 + (y - y + 2*y)*(2 + 8*y - 2)*(-y + y**2 + y).\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*b + 3012 = -3478 + 1576. Calculate the remainder when 175 is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61608 a multiple of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58456*l**4 - l**3 + 2*l**2 - 739*l + 10 wrt l.\nAnswer: 1402944*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3641 divided by 1\nAnswer: -3641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 10*z**3 - 12*z**2 - 67*z + 7. Let l(w) = -9*w**3 + 10*w**2 + 68*w - 6. Determine -7*l(y) - 6*u(y).\nAnswer: 3*y**3 + 2*y**2 - 74*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 5 + 17. Calculate the least common multiple of 57 and x.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-228)\/(-54) - (-2)\/(-9). Solve -k*x = -d + 13, 2*x = -4*d - 0*d - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-1 + 2)*(-4 + 4). Solve f = 15*v + 3 + 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1063891657?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1265364 and 90?\nAnswer: 6326820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1509 and 3899759.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15\/128 + 2051\/1664. Calculate the common denominator of 3\/(-8) + (5 - 9) and k.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, h: 1, z: 2, i: 1}. Give prob of picking 1 n, 1 z, and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 714.92 rounded to zero decimal places?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -11001 (b) 2\/27 (c) -2 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6419 or -8.8?\nAnswer: -6419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.16 (b) 4\/3 (c) 0.05 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*s - 3*x + 5, -4*x = 8. Suppose -s*d + 761 = -341. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 16*y. Let u be q(0). Suppose u = -10*s - 331 - 139. Round s to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1053)\/18252)\/((-12)\/32)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 132*m**2 - 136*m.\nAnswer: 4*m*(m - 1)*(m + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 5*n - 34 - 6, -4 = -2*s - 2*n. Let g(i) = 4*i + 4*i - s*i - 5*i. Let d(j) = -j - 20. Give g(d(b)).\nAnswer: 2*b + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*b + 3 = 0. Let g = 4.03 + -0.03. Let v = -225 - -222. What is the closest to -0.1 in b, v, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**8\/6720 + b**7\/210 - b**6\/60 + 13*b**5\/120 - b**4\/6 + b**2. Let f(t) be the second derivative of c(t). Give f(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3156, 25214, 85078, 201654, 393848?\nAnswer: 680566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*n - 451*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11.11 and 2.318.\nAnswer: -8.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -59*k - 576. Let r be l(-39). Calculate the highest common divisor of 75 and r.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -69, -87, -121, -177, -261?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.033111 and -0.7.\nAnswer: 0.0231777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 6*s**3)*(-1707 + 1064 - 1236 - 2323).\nAnswer: 25212*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1088)*-1*-1 + ((sqrt(51)\/sqrt(3)*-6)**2 + sqrt(17) - sqrt(17))*-2)*-5.\nAnswer: -18360 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 178848751?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000778866635 to 7 dps.\nAnswer: 0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4))\/(1\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*u - 2. Let t be (2\/(-18))\/(u\/(-8)). Which is the closest to 2\/7? (a) 4\/7 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 6:34 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 48 = -5*h, 77*h - q + 12 = 84*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-5 + (-35)\/(-11)). Put 7, b, 1\/2, 2\/15 in increasing order.\nAnswer: b, 2\/15, 1\/2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2145\/(-60)*45*(-24)\/(-7020)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-13)\/4)\/((-59)\/(-236)) - -24068 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 49, 3\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 247009*i**2\/6 - 238560*i + 345600.\nAnswer: (497*i - 1440)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11089 - 5259. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9999896 not equal to 9999892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-12)*6\/10. Let i = 1.8 + -2. What is the smallest value in c, i, 23?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120*t + 244*t + 324*t to the form v + s*t and give s.\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/9 - 16\/(-24). Let p(b) = -b**2 - 4. Calculate p(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 - 4*f**3 + 4*f - 5*f to l*f + x*f**2 + g + a*f**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109392 is divided by 452.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 21 = m, 15*m + 4*t = 16*m - 17 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3580 - -7542. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfch when four letters picked without replacement from {b: 2, m: 1, t: 2, f: 1, c: 8, h: 1}?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 5. Let i(x) = 2*x**2 + 5*x - 4. Let r be i(-5). Let k = h + r. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 34. Let g = -0.3 - -0.2. What is the closest to 0 in -5, d, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 367.9 + -278. Let q = 83 - g. Let d = q + 6.9047. Round d to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 324 - 250131131?\nAnswer: -250130403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3343?\nAnswer: 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 0 - (-3)\/1. Let i(a) = 3*a + 16. Let k(c) = -8*c - 40. Let d(h) = -5*i(h) - 2*k(h). Let v(g) = -g**2 - 4*g - 2. Determine p*d(z) + v(z).\nAnswer: -z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 11*b + 12. Give u(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Let j be 1\/(-2)*(-24 + k). Solve -2*y + j = 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 5. Let z be q(7). Let g(r) = 2*r - 5*r + 2*r. Let j be g(z). Solve -l - j*l = d - 4, 0 = 3*d + l + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 - 4.08. Let x be 4 + (-13)\/3*1. Let t = -2 + 2.1. Which is the nearest to t? (a) m (b) x (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24455 + 22970?\nAnswer: -1595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (75\/6 - -4)\/(42\/56). Let n(v) = 4*v - v + 8 + 3. What is the units digit of n(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5289 (b) -7 (c) -52.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 16, t: 3, y: 1}. Give prob of picking 1 t and 1 y.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/266 and 107\/15314.\nAnswer: 107198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11340054023 - 0?\nAnswer: 11340054023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 + 6*s + 4. Suppose 5*m - m = -4. Let p = m - 3. What are the prime factors of o(p)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*x + 82*x**2 + 7*x - 72*x**2 wrt x?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -99\/2624626 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366796 is divided by 508?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -237, -5, -3, 1\/5, 26, 2, 0 in descending order.\nAnswer: 26, 2, 1\/5, 0, -3, -5, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.05105nm to kilometers.\nAnswer: 0.00000000002005105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.6. Let n = -3 + -2. Let v = -2 - n. Sort 1, v, r.\nAnswer: r, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18213\/16327 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-82)\/(-8) + 1\/(-4). Let a be 4\/(-10) + 34\/r. Solve -5*k + a = 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.01, -0.73207, 0.4, 1\/4 in descending order.\nAnswer: 0.4, 1\/4, 0.2, 0.01, -0.73207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -117*z**2 + 1605*z - 1604. Determine v(1).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 + 72\/10)\/((-27)\/(-45)). Let i be (-50)\/(-8) + (-9)\/36. Solve -i*w - c = -8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-38))\/(1719\/6876)?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000042109342 to six dps.\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*c**2 + 0 + 0 + 0.\nAnswer: -85*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1359*q - 55745. Calculate w(-41).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107 - 58. Let m = 231 + -247. Let h = j - m. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/32 + (-69)\/24 + 2. Is -1\/2305 less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**5\/5 - 64*t**4\/5 - 88*t**3 + 244*t**2 + 442*t\/5 - 1156\/5 = 0.\nAnswer: -17, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-195)\/(-52)*(-6)\/(-15)*(-39)\/(-26)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 452840832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -83.96+-40592\nAnswer: -40675.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 117\/7 - (-2)\/7. Let o be -50*(17\/(-5) - -1). Calculate the highest common divisor of l and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80*f**6 + 11*f**5 - 23*f**3 + 1071*f**2 + 28*f wrt f?\nAnswer: 9600*f**3 + 660*f**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50 or -44?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8328 or -8327?\nAnswer: -8327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c (base 16) in base 6?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 182, 423, 764, 1205, 1746, 2387?\nAnswer: 3128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -7, -3, 6, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4755243 to the power of 1\/2, to the nearest integer?\nAnswer: 2181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-42 - (21 + -18 + -24)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (75\/12)\/(1\/8). Suppose 3*m = 2*m + q. Suppose 0 = -5*d + 4*f + 42, -61*d + 57*d = f - 42. What is the highest common factor of d and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11311122103 - -2?\nAnswer: 11311122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 2. Let c(a) = -a**3 + 5*a**2 - 4*a + 6. Let v be c(4). Let s = -1 + v. What is q(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 11 + (1 + 0 - 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - (18 + 4) - (1 + -128)) + -25 + 14?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179750031?\nAnswer: 3, 59916677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 395 - 266. List the prime factors of g.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6*1)\/((-57)\/(-38)). Suppose 0 = -5*p + a*p + 63. What is the smallest common multiple of p and 42?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 5. Suppose 4 = -3*x + 6*x - t, 3*x = 5*t + 20. Solve x = -3*a - 1 - z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8, -51, -116, -197, -288?\n\"Answer: b**3 - 17*b**2 + b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - h + 2*h)*(-h + 0*h - h) + 3512*h**2 + 3205*h**2 - 2 - 7441*h**2.\nAnswer: -722*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence veq when three letters picked without replacement from {x: 1, z: 2, v: 1, e: 2, q: 1, g: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 860 and 326622324.\nAnswer: 1633111620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 2 - 12, -4*q = a - 391. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3874571.65 rounded to the nearest 100000?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + p. Let g(t) = -6*t**3 + t**2 + 6*t - 1. Let s(j) = 6*g(j) - 39*n(j). Suppose s(l) = 0. Calculate l.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3*i = 21, -8982*i = 4*t - 8979*i + 39 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v + 244079 = -17*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**3 + 0*f**3 - 145*f**2 - 2 + 146*f**2 as k*f + z + b*f**2 + v*f**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(1377) - sqrt(1377))*2*-5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4868027387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (672\/128)\/(6\/8). Suppose 3*y = 5*k - g, -3*k = -7*k + 5*y + 16. Which is smaller: k or 1\/69?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 61 + 74. Let r = p - -43. What is the greatest common factor of r and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70784380 + -70784433.0000316. Let p = c - -53. What is p rounded to six dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 + 0*u**2 + 2*u**3 - 1 - 2*u**3 + 1 + (-2 + 2 - 2*u)*(0*u**2 + 0*u**2 + 2*u**2) - 3 + 3 + u**3 + 8*u**3 + 91*u + 92*u - 183*u.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 9072.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = -33*z + 36*z + 5*m, 0 = 5*z - 5*m - 390. Calculate the highest common factor of z and 288.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6802, 27193, 61170, 108727, 169858, 244557, 332818?\nAnswer: 434635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3070826647?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -5. Let j = -12 - -11. Let m(x) = -3*x. Let f be m(1). What is the closest to f in 1, d, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 45, 10 in decreasing order.\nAnswer: 45, 10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -915.3 to the nearest 10.\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5621695925.2671 and 0.2.\nAnswer: 5621695925.4671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 680*k**2 + 14. Let m(d) = 4761*d**2 + 105. Calculate 2*m(f) - 15*o(f).\nAnswer: -678*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 1. Let b be q(5). Let p = 3 + b. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565.236 take away 201214?\nAnswer: -200648.764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13b79 - 7?\nAnswer: 13b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 119583317 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12202222022 (base 3) to base 13\nAnswer: 3c9a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11000011101010111 (base 2) to base 11\nAnswer: -692a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11486\/25 at least as big as 460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1201 + -855. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 499456222?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -152 + -a24?\nAnswer: -1076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 0, -1836, -3 in decreasing order.\nAnswer: 1, 0, -3, -4, -1836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -4*i - 5*c + 57, -i - 16*c = -16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h + 16. Let k(d) = d + 5. Calculate 8*k(a) - 3*u(a).\nAnswer: -a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11 and 7827.2.\nAnswer: 860.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 751 + -756. What is the second smallest value in -3, -2, d, -8\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) - 15*(-30)\/(-8). Let p = 86 + j. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -889 + -0.0934224.\nAnswer: -889.0934224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - 1 - (-5 - -8). Let c be 0 - p - (-18)\/(-22). Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -7*u**3 - 9*u**2 - 4*u - 4. Let w(t) = t**3 + t**2 + 1. Let s(n) = 5*w(n) + z(n). Is s(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**4\/4 + 5*h**3 + 31*h + 79. Let a(k) = -k**2. Let s(b) = -5*a(b) + j(b). Differentiate s(v) with respect to v.\nAnswer: 3*v**2 + 40*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 12230*j - 17672361. Calculate w(1445).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*j = -240, -39 = j - 34. Let o = 6 + 19. What is the least common multiple of r and o?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 1. Let m(n) be the first derivative of n**4\/4 + 7*n**3\/3 + 3*n**2 - 6*n + 2. Let g be m(-6). List the prime factors of r(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 1. Let s(d) = -3*d + 1. Give -p(b) + s(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -95b?\nAnswer: -957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -61 - 11716737?\nAnswer: -11717020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 8:54 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2666, 20, 3, -26 in increasing order.\nAnswer: -2666, -26, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/4*(-2664)\/(-592)*(-4)\/(-690). What is the nearest to o in -5, -1\/7, 0.08?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 1293490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141 = -53*n + 336 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - a8?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + -a?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(6*p - 30*p - 18*p + (1 + 5 + 3)*(p - 4*p + 6*p)).\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a microsecond in nanoseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -135 + 147. Suppose 0 = -t*a + 209 + 1975. What is the remainder when a is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*i + 2*u + 5, 0 = 5*i + 3*u + 1. Let j(x) = 647499*x**2 + 5*x + 14. Let p be j(i). Round p to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 11. Let h be i(-8). Suppose h*p + p = -8. Which is the closest to 2\/3? (a) 0.5 (b) p (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d**2. Suppose -2*o = 21 - 9. Let q be ((-9)\/o)\/(1\/6). Let v(p) = 6*p + q*p - 15*p - p**2. Determine v(t(k)).\nAnswer: -36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 8*o**2 - 6*o + 10. Let x be b(-7). Let j = 367 - 363. Suppose -2*y - 6 = n - j*y, -4*n = 5*y - 15. Put x, n, 5 in decreasing order.\nAnswer: 5, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w + 6 = 0. Let c be 4\/18 + (-32)\/(-18). Let b be 1*-5 - (-4)\/c. Is b smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3152, -5977, -10694, -17309, -25828, -36257?\nAnswer: -48602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345088.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-32)*(-40)\/5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71*(38 + -9 + -8 + -20)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j = -12*j - 12*j - 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5204, 20829, 46878, 83357, 130272?\n\"Answer: k**3 + 5206*k**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + (-15)\/(-10))*0. Put 1, o, -5, -9 in descending order.\nAnswer: 1, o, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = -5*b. Let j(p) = -277*p + 1. Let d be j(b). Let t = 395 + d. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 + -23.3?\nAnswer: 251.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*i - 10 = 0, 5*m + 5 = -3*i. Let l(j) = 3*j**3 - j**2 - 2*j + 2. Is l(m) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-462)\/70 - 16?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860 is divided by 291.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, u: 3}. Give prob of sequence uss.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1682.6 + 1674. Sort d, 2\/7, -1\/4.\nAnswer: d, -1\/4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 450 and 225.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**7\/126 + 7*c**6\/90 - 2*c**5\/15 - 4*c. Factor b(m).\nAnswer: m**3*(m - 1)*(m + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 150 - 145. Suppose -q - 2*p - 11 = 0, w*q - 4*p = 3*q + 18. Sort q, -0.5, -0.2, -5 in descending order.\nAnswer: -0.2, -0.5, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*d - 44*d - 32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 2*v**7\/21 + 8*v**6\/5 - 76*v**5\/5 + 146*v**4\/3 - 78*v**3 + 68*v**2 - 3*v - 8. Determine z, given that y(z) = 0.\nAnswer: -17, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6409 != 6405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 11:15 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 2*x. Let p(d) be the second derivative of d**5\/10 + 5*d**3\/6 + 2*d. Let l = 0 + 10. Determine l*g(i) - 4*p(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*y = 90*y + 350 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r = 73*r - 3048 + 323 - 923 for r.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*w**2 + 0*w**3 + 47 + 0*w**3 - 46 - w + w**4 as v*w + t*w**2 + n + i*w**4 + k*w**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.5525297 decades?\nAnswer: 66.303564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 834114.6ns to microseconds.\nAnswer: 834.1146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4341 (base 7) in base 3?\nAnswer: -2010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 3. Let w(j) be the first derivative of j**4\/2 - j**3\/3 + j**2\/2 - j - 73. Let g be w(f). Let u(a) = -a**3 + a - 1. What is u(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*c**2 + 108*c**2 - 2832 + 2*c**3 + 133 to y*c + q*c**2 + p*c**3 + i and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -10. Let o = 90 + -86. Let k(g) = g**2 - 4*g + 10. Let l be k(o). Solve 2*y - 8 = -2*q, -3*q + l + u = 5*y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.255 + -101.755. Let h = -269 + 168. Let y = w - h. Which is the closest to 4? (a) 0.1 (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from {y: 2, t: 5, h: 1, l: 4, f: 1, m: 7}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m**2*n**2*p + 6*m**2 - m*p + 29*n**2 + 5*p wrt m?\nAnswer: 2*m*n**2*p + 12*m - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/435744 and 95\/612?\nAnswer: 435744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010001101 (base 2) in base 10?\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v - v**3 - 2*v**2 + 7*v**2 + 0*v**2. Let l(x) = -24 + 6*x**2 + 15 - 6*x - x**3 + 7. Let u be l(4). Give o(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76\/(-2394)*(20\/(-16) + -1)*24\/(-18).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -549 = -144*g + 27. Let r(p) = -p. Let q(h) = -3*h**2 - 4*h - 17. What is g*r(m) - q(m)?\nAnswer: 3*m**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 - -41. Suppose -4*h = q*g - 3*h - 12, 3*h + 9 = 0. Find the first derivative of -g*r**2 + 5*r**2 - 3*r**4 - 7 - r**4 wrt r.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0.8. Suppose -13*u = -2*u + 23 + 21. Which is the third smallest value? (a) u (b) 0.4 (c) q (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 11. Let v be h(-11). What is the common denominator of v - (-3 - (-164)\/72) and -11\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 + -74 + (-9 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 divided by 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -600 at most -600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 230742643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/3 (b) -29\/2 (c) 2\/353\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**4\/4 + o**3\/3 - o**2\/2 - 9*o - 54. Suppose -4*p + 8 = 4*k - 6*k, -5*p = -k - 4. Calculate z(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336)\/(sqrt(12) + sqrt(192)))\/sqrt(4)*4 + 4*(3 + -1*sqrt(448)))**2.\nAnswer: -3744*sqrt(7)\/5 + 173952\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*p - 9*p. Suppose 0*n + 2*n = -2*x + 12, 0 = -p*n - 2*x + 17. What is the remainder when 8 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27774 and 90.\nAnswer: 138870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*sqrt(34) + sqrt(34)))\/sqrt(2) + -1 + sqrt(17) + -4 + 0.\nAnswer: -11*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7.4 (b) -3 (c) 0.2 (d) 6\/7 (e) -4 (f) 35\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 4 - 27\/(-45)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -0*v - 4*f + 28, -f - 5 = -v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-23843)\/(-1))\/(21 - (6 + 14)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-6))\/((-3)\/18). Let a be 16 - (j\/1)\/2. Let s be 12\/a*(-26)\/(-39). Put s, 2\/5, -0.5 in ascending order.\nAnswer: -0.5, 2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 463*b**2 - 918*b**2 - 28*b - 629 + 149 + 459*b**2.\nAnswer: 4*(b - 15)*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 915792?\nAnswer: 2, 3, 19079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1226 = -104*v + 1157 + 1049. Let y = -5 - -7. Factor -2*u**3 - 4*u**y - v + 4*u - 2*u**3 - 4*u**2 + 41.\nAnswer: -4*(u - 1)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -315 + 314.61. Round q to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 3467994763?\nAnswer: -3467994763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**2 + l - 423. Let i(v) = 14*v**2 - 6*v + 1688. What is -9*h(k) - 2*i(k)?\nAnswer: -k**2 + 3*k + 431","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -29*c**4 + 9*c**3 - 175*c**2 + 213*c + 63. Let i(f) = 4*f**4 + f**2 - f + 1. Let o(q) = -36*i(q) - 4*x(q). Determine l, given that o(l) = 0.\nAnswer: -6, -2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g + 1. Let f(v) = -16*v + 8. Calculate 2*f(i) - 12*t(i).\nAnswer: 16*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*j = -44*j - 9*v + 51, -5 = -v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 51 = -g, -30*p - 14*g = -12*g + 748 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 6:42 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -12\/13, 764, -0.0689 in ascending order.\nAnswer: -12\/13, -0.0689, 764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*t - 5*t**2 + 90*t.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1353420 (base 11) to base 3.\nAnswer: -11101111110212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -135 + 147. Suppose o*f = 19*f - 231. Calculate the highest common factor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9*p**2 - 12*p + 6. Suppose 0 = -a - 4*u - u - 28, -7 = 4*a - u. Let k(n) = n**3 - n**2 + n. Let w(h) = a*k(h) + j(h). Factor w(v).\nAnswer: -3*(v - 2)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 157\/5 + -1524\/35. Let f = 614\/35 + i. Find the common denominator of (-1122)\/(-85)*16\/(-24) and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 210 + -404. Let q = -132 - o. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 1 - t**3 - t - 2*t - t**4 + 3*t + t. Let m(r) = -2*r**4 + 2*r**2 - 3. Let a(o) = 2*m(o) - 6*q(o). Determine d, given that a(d) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1955 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 305 (base 7) to base 16.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -17. Suppose f - 5*g - 12 = 11, -5*g - 20 = 0. Solve 2*i = -f*w - y, 5*w + 2*i + 0 = -23 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -527*l + 1. Let q(u) = -4*u**2. Give q(j(p)).\nAnswer: -1110916*p**2 + 4216*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from {w: 1, h: 2, a: 1, t: 2, g: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -20*s**2 + 0*s + 1\/120*s**5 + 7\/6*s**3 + 0 - 1\/12*s**4. Let a(d) be the first derivative of h(d). What is a(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1.4, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + sqrt(2)) + 5*(2 + sqrt(2)))**2.\nAnswer: 108*sqrt(2) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 14*q = -28*q + 30. Are q and 62\/183 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 3. Let f be u(0). Suppose -28*r = 17*r - 138960. Let n(i) = -4*i - i**3 - 3092*i**2 + r*i**2 + 3*i. Calculate n(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 12 - -98) + 26 + -59.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3549, 7383, 11217, 15051, 18885?\n\"Answer: 3834*z - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 1 = 3*p, 5 = -p - 0*p - g. Let b be 1\/(-3)*(-6 + p). Factor -11 - 15 + 3*k**b + 26 + 3*k**4.\nAnswer: 3*k**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1*sqrt(130))\/sqrt(10) + (sqrt(1872) + -1)**2)*-2 + 5*((sqrt(117) + sqrt(117) + 1 - sqrt(117)) + 0 + (sqrt(117) + sqrt(117)*2)*1).\nAnswer: -14979 + 260*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-2)\/(-3))\/((-11786)\/(-213) - 55). Sort -1, f, -198 in decreasing order.\nAnswer: -1, f, -198","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31817608?\nAnswer: 2, 17, 179, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -173 or -175?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2063 = -695*a - 3453 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -24*s**3 + 238*s**2 + 19*s - 71. Calculate k(4).\nAnswer: 2277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50422 and 7922.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**2 + 38*y - 612*y**3 - 642*y**3 + 40 - 45*y**2 + 2*y**4 + 1216*y**3 = 0.\nAnswer: -1, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-3)\/(-42))\/(3\/7)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/(-299) + (-424)\/644. Let k be ((-4)\/(-14))\/(-1 - 0). Put 5, k, 1\/3, y in ascending order.\nAnswer: y, k, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -514, -2449, -5688, -10243, -16126, -23349, -31924?\n\"Answer: -2*h**3 - 640*h**2 - h + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1237239*l - 5*b - 2 = -1237236*l, l = -5*b + 16 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 180 = 2*x, -3*x = -2*x + 2*p - 82. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 + 36*d - 39. Let r be y(17). What is the remainder when 2 - -4 - (-37 - r) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*g**3 - 71*g + 23*g**3 + 139*g - 49*g**3 - 68*g.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**2 + 9*j**2 - 14*j**2.\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 327 and 312?\nAnswer: 34008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-6 + -5 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 369, 1672, 3909, 7080, 11185, 16224?\n\"Answer: 467*l**2 - 98*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 11*h**2 + 3*h**2 - 1.\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99\/(3564\/120)*-12.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g - 5 = -38 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -69*d**2. Let c(q) = -3*q**2 + 4. What is o(c(v))?\nAnswer: -621*v**4 + 1656*v**2 - 1104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q + 1. Let z be n(0). Let o be -1 - z\/((-4)\/(-16)). What is the units digit of o - -2 - 136\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 4*r - r)*(3*r + 2 + 4*r - 5*r)*(15 - 15 + 4*r**2)*(-5*r + 3*r + r).\nAnswer: -8*r**5 - 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28)\/(2\/1)*331\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/5*62\/((-95232)\/(-320))*(-10)\/14.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x - 12. Let w(n) = -2*n - 13. Let a = -21 + 23. Let v(f) = a*w(f) - 3*t(f). Let u be v(-5). Solve g - m + 17 = -5*m, -5*g - 3*m = u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -166*h + 168*h + 220*n + 690, 5*n = 5*h + 60 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230 - -122?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -839, 275, -18 in ascending order.\nAnswer: -839, -18, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3\/3 + 19*i**2\/3 + 112*i\/3 + 64 = 0. Calculate i.\nAnswer: -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/38 and -71\/380.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*a - 734*a - 20758 = -30861 - 27947 for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f - 1\/2*f**2 + 1\/4*f**4 + 5\/6*f**3 - 1\/20*f**5 + 0. Calculate z(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9408 by -112.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.1162 millennia?\nAnswer: 11.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 10) in base 8?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-215)\/(-1720) - ((-14)\/16 + -1). Put l, 6, -3, -4 in increasing order.\nAnswer: -4, -3, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - 5. Let z be (-2)\/5 + (-6)\/s. Suppose -2*b + 34 + 10 = z. Solve 2*i = -3*o - 7, -o = -3*o + 3*i - b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 450292*p**2 - 60456 wrt p.\nAnswer: 900584*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 33202*h**3 + 1. Let u be m(1). Suppose 0 = -4*s - 5*a - 276827, 5*s = s - 3*a - 276821. Let v = s + u. What is v rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/(-12)*-2)\/((-12)\/(-224)). Suppose -m + 38 = 2*a. Solve -a = -9*w + 10*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v**2 - 3*v + 2. Let q = 162 - 90. Let g = q + -71. Let z(w) = w**2 - 1. Determine g*i(n) + 3*z(n).\nAnswer: -n**2 - 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvfvipvfvxvmiimvv. What is prob of picking 1 m and 1 f?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/2 - 61515*m**2\/2 - 163540728*m - 59612088672.\nAnswer: -3*(m + 393)*(m + 10056)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1573) + sqrt(1573) + -1 + sqrt(1573)).\nAnswer: -1 + 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118.4 + -118. Which is bigger: h or -2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 5*s**2 + 7*s - 1. Let f be o(6). Suppose -f*v = -10*v + 5. Let a(i) = 2*i**2 - 1. Let k be a(-1). Solve -n - k = v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1411, -3029, -5719, -9475, -14291, -20161, -27079, -35039?\n\"Answer: g**3 - 542*g**2 + g - 871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (1 - 12) - (-2 + 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from mwbpwbwyw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 974719 is divided by 1792.\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 5*w - 257, 4*d - 4*w - 281 = -w. Let p be (d\/(-85))\/(2\/(-5)). Suppose 0 = -6*b + p*b + 20. Solve 0 = x - 6*x + b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 68 + -5?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 1\/5, 79110, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4519?\nAnswer: 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 2059 (c) -2\/11 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 91, -3\/56?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i. Let g(s) be the first derivative of -21*s**3 + 26. Give g(x(y)).\nAnswer: -63*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75 and 53274.\nAnswer: 1331850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**(-8\/13)\/z)\/z)**(-15)\/(z**40\/(z\/(z**(-40)*z))))**(10\/7) assuming z is positive.\nAnswer: z**(450\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1)\/(((x*x\/x**(-7))\/x)\/x)*(x*x**(-1\/3))**(-3\/46)*x**(-2\/5)*x*(x**(2\/21)*x)\/x*x**(-2)\/x**3 assuming x is positive.\nAnswer: x**(-29821\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -820, -2764, -5088, -7048, -7900, -6900?\n\"Answer: 124*o**3 - 934*o**2 - 10*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035278 less than -0.083888?\nAnswer: -1035278.083888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/(-12) - 676\/(-480) and 33\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + ((sqrt(56) + sqrt(112)\/sqrt(2))*2 - sqrt(56)) + 1*sqrt(2016))\/(sqrt(648)*-2 - (sqrt(512) - sqrt(512)*1))*5.\nAnswer: -25*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 312 and ((-416)\/(-12))\/(7\/147*7)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -610492, -1220978, -1831490, -2442040, -3052640, -3663302, -4274038?\nAnswer: -4884860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 13*n - 18. Suppose -7*f - 648 = 35*f + 12*f. Give i(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/24*1*667\/((-38019)\/(-684)).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104 - 101. Solve -2*s - m*s = -5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1230 and 1035.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -533, 4, -3, -2 in descending order.\nAnswer: 4, -2, -3, -533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5 = -x. Let m(i) = -3*i**2 - 23*i + 14. Let f(v) = -2*v**2 - 15*v + 9. Let b(c) = x*m(c) + 8*f(c). Does 6 divide b(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/28 and 29\/5?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + 0.3. Let y be (189\/(-102))\/(-7) + 0. Let v = -121\/714 + y. What is the closest to -1 in v, a, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11596 + 46383\/4. What is the third smallest value in t, -194\/9, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24206167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/81194800 and -27\/32.\nAnswer: 162389600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 3\/542, -2\/43 in descending order.\nAnswer: 3\/4, 3\/542, -2\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/2 + 742987*v**2\/2 - 138007792035*v\/2 + 138007049049\/2.\nAnswer: -(v - 371493)**2*(v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.78 in 35, -7\/6, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193384059.\nAnswer: 3, 11, 5860123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 1 + 1 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*h**2*q**3*w**2 - h**2*q**2*w - h**2*q**2 + 5429*h**2*q*w**2 + 1335*h*q**3*w**2 wrt q.\nAnswer: 42*h**2*w**2 + 8010*h*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 761 - 438. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35946146?\nAnswer: 2, 17973073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 92809560 divided by -34184\nAnswer: -2715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (49*s**2 - 1 - 318*s**2 + 33*s**2)*(-4*s - s + 4*s) as y*s + z*s**2 + a*s**3 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**6\/120 + l**5\/40 - l**4\/12 - 10*l. Let q(s) be the third derivative of k(s). Differentiate q(r) wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 0 + 0*z**3 + 40*z + 1\/30*z**4 - 2\/75*z**5 + 0*z**2 + 1\/225*z**6. Let t(l) = 0. What is l?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17962 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -68*x + 2. Let z be k(-1). Let i(d) = 7*d**2 - 10*d + 1. Let b be i(7). Suppose -8*o = -b - z. List the prime factors of o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 165, -11, 3 in descending order.\nAnswer: 165, 3, -2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -100000011101001110110?\nAnswer: -100000011101001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*g = -6 - 10, -10 = 5*y + 5*g. Solve x - 3 = -n, 0 = x + n + y*n - 13 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71524 * -0.5\nAnswer: 35762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -21\/2 (b) -0.03 (c) -2 (d) -3\/8 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-1)\/(2\/6). Suppose 3*n + p + 31769052 - 77969056 = 0, -12 = -v*p. What is n rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 477480934\/9 or 53053436?\nAnswer: 477480934\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99 + -105.9. Round f to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**2\/5 + 3899707*w\/5 - 5459580 = 0.\nAnswer: 7, 3899700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 4:40 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 5*k**2 + 4*k + 2. Let o be r(4). Let w(y) = 6*y - 3*y - 4*y - o*y. Let q(l) = 8*l**2 + 8*l**2 - 19*l**2. What is w(q(v))?\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/7 + (-2 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10989 - 10936. Calculate the remainder when b is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 76 (b) 7 (c) -2\/9 (d) -0.5 (e) -20.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqjsu. Give prob of sequence ju.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-6)*16 - 2. Let v(k) be the third derivative of k**5\/60 - k**4\/24 + k**3\/6 - 179*k**2. What is the tens digit of v(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.929294 rounded to two decimal places?\nAnswer: -75.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87 by -66.\nAnswer: 29\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4263641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 22*f - 2*f + f + 3*f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 262307029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16409486, 32818972, 49228458?\n\"Answer: 16409486*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -495 + 313. Let s = w - -187. Which is the nearest to 0? (a) 4 (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3680 and 527980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhfiiiiitfibifiti. Give prob of sequence ht.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 4:02 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-75)*5)\/(14\/5).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*v + 291. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 5*z**4 + 869*z**2\/2 + 1717. Find the second derivative of v(d) wrt d.\nAnswer: 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqz when three letters picked without replacement from mbczceqqe.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -8 and 3\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 j, and 2 v when four letters picked without replacement from vlvjjvvj.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 + 43 + 29 - 32 + 0*h**2.\nAnswer: -h**2 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 437 = w + 470, -20*w = -3*k + 121 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**4\/12 + 7*t**3\/6 + 3*t**2\/2 + 9*t. Let u be m(-7). Solve -u*s = 6, -3*i + 0*s - 8 = -2*s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 17*i + 24. Let v(b) = b**3 - 9*b**2 + 16*b + 2. Let a be v(7). What is the units digit of p(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19172170 is divided by 117.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 5*f**3 - 29965*f**2 + 1251915*f - 13121955 = 0.\nAnswer: 21, 5951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111104 and 351540.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12213\/22 - -557. Let l be ((-69729)\/9)\/(52\/6 + -2). Let m = l - -1158. What is the common denominator of a and m?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1613 divide 63942546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -240672 - -1312?\nAnswer: -237360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j + 73. Let k be b(23). Suppose 16*z + k = 17*z. Let s(u) = -2*u - 2. Let c(l) = 4*l + 4. Determine z*c(a) + 7*s(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(133)*-3 - 4*sqrt(133)*5)\/(((1*sqrt(630) - sqrt(630) - sqrt(630))\/sqrt(10))\/(sqrt(9) - (sqrt(9) + sqrt(27)\/sqrt(3)*4))).\nAnswer: -104*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -365*d**3 - d**2 + d - 36827 wrt d?\nAnswer: -1095*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 3336*b**2 + 10018*b**2 - 3345*b**2 + 39*b - 3339*b**2 + 6.\nAnswer: -2*b**2 + 39*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 13)\/(-88 - -90)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/192*-116*2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2315*q + 2317*q = -8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.413350023 rounded to four decimal places?\nAnswer: -0.4134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8561.48886 less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/11*11\/(-3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m - 5*m + 27*m to the form s*m + j and give s.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 2. Give x(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**4\/4 + t**3\/3 + 3*t**2\/2 + 2*t + 3. Let s be b(-2). Let r = s + 14. Solve r = 3*y - y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -2\/13, -3, -267, 0.07, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 40 + 34 - 35*q**2 - 7.\nAnswer: -35*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 618917, 618919, 618921, 618923, 618925, 618927?\nAnswer: 618929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 244805797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 1.16 (c) -2\/7 (d) 1\/3 (e) -1 (f) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157360, -314755, -472152, -629551, -786952, -944355, -1101760?\nAnswer: -1259167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.15, 0.03, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -19\/2, -0.3, 134, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-3))\/(8\/12 + -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12 - 5) + -3 + -4. Let x(n) = -8*n. Let i be x(-9). Suppose -4*k + i = 3*y - 2*y, k + 3*y = 29. Put g, k, -5 in decreasing order.\nAnswer: k, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1506407+-2.83\nAnswer: -1506409.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 6*d - 3. Let r be q(-6). Let n be (3\/2)\/(r\/6). Let z be (-1)\/(-3) - (-13)\/n. Let j(m) = m**2 + 4*m - 5. Calculate j(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 59 (b) 4114\/7 (c) 2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 19 = -72*q - 91 - 148, -q + 2*o = 31 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 23 = u, 0 = -5*d + 6*u - u + 20. What is the remainder when 35 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1132 = -4*q + 4*m, -375*q + 376*q - 268 = -4*m. What is the greatest common divisor of 6265 and q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**2\/2 - 4*o + 212. Suppose -3*t - 9 = -j, -2 = -3*t + 1. Suppose 2*f + 19 = 5*p, 5*p - j = 3*f - 2*f. Calculate q(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27)\/12 + 3\/12. Let b be s\/(((-4)\/6)\/(4\/6)). Factor 0*w + 1\/2*w**b + 0.\nAnswer: w**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.9 + 5. Which is smaller: 3\/4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - 31*x**2 - 3088*x + 6290. What is r(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7449581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1031888 and 160966?\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -22696 > -22695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (4 + -4 - 11). Is s at most as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000217904 rounded to seven dps?\nAnswer: -0.0000218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2009 * 0.059.\nAnswer: -118.531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -314033 (base 5) to base 6.\nAnswer: -120410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 1)\/((-6)\/(-258)). Let z = 19 + s. Let n = 29 + z. Solve y - 5*h + 15 = 0, y - n*y - h = -3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 251022541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*v - 25 = -5*s, 5*v + 25 = -2*s. Let n be (44\/66)\/((-2)\/(-24)). Suppose -i + 2*i - n = s. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37265766 by 6.\nAnswer: -6210961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 256\/(-768)*((-432)\/(-45))\/(6\/(-75))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 3 + 0)*(3 - 3 - 2) - 4 + 0 + 6 + 1 + 0 - 3 + 2 + 0 - 3)*(26 + 50*k**2 - 26) as x + i*k**2 + h*k and give i.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -544, -574, -604?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 5, -171, -9, -4, 8 in ascending order.\nAnswer: -171, -14, -9, -4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i - i + i)*(393*i - 7*i**2 - 393*i) + (0*i - i + 3*i)*(-2*i + 2*i**2 + 2*i) to the form q*i**2 + h*i**3 + y + s*i and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 10*w**2 - 9*w. Let y be c(-9). Suppose y = -q + 11 + 47. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyk when three letters picked without replacement from kggogykgggggykgk?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47708635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/((-14)\/(-6)) - -2. Is -4 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184096413 a multiple of 4159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -67*u**3 - 2*u**2 + 7*u. Let n(v) = 33*v**3 + v**2 - 3*v. Let p(k) = 5*n(k) + 2*o(k). Does 12 divide p(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 15. Let c = x + -11. Sort -4, c, 2 in decreasing order.\nAnswer: 2, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 358 or 3569\/10?\nAnswer: 3569\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, r: 3, c: 7}. Give prob of sequence cbc.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 + 20*y + 2. Suppose 2*n - q = -14, -2*n = -5*q - 7 + 13. Give u(n).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/(434\/1308636) + 5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-544)\/(-48))*3\/(-2)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 r when three letters picked without replacement from {i: 1, r: 3, z: 3, g: 1, v: 1, k: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 34*i**2 - 100*i + 172. Give x(31).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1700) + (sqrt(1700)*2 + sqrt(1700))**2 + 5 + (-1*(-2 + sqrt(1700)))**2).\nAnswer: -90*sqrt(17) + 51027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81321593.\nAnswer: 81321593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 192.86 * 0.2\nAnswer: 38.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5066*t**4 + 33*t**2 - 117464*t + 1 wrt t?\nAnswer: -60792*t**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -13. Calculate the least common multiple of 100\/26 - (3 - (-82)\/(-26)) and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 309 + -4019\/13. Let x = -685\/4 - -171. Sort -0.2, x, z in decreasing order.\nAnswer: z, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21001904 divided by -16.\nAnswer: -1312619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1061\/28 - 123\/4. Which is greater: -1\/4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14371 * -0.2\nAnswer: -2874.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 + 8241 = 82*l for l.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q + 24. Give z(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.38680524 - 0.3868. What is y rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 6*q - 10*q. Let o = -2 + -4. List the prime factors of t(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 16. Suppose 0 = -3*t - 12, 5*y - p*t - 56 = 44. Let b(g) = 3*g**2 + 2*g - 5. Let s be b(5). Calculate the greatest common divisor of y and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 80 + 40 = 0. Solve 20 = s*r + a, -3*r - a + 0*a + 16 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17.357 - -17.557. Let i = -31.019 + 0.019. What is the third biggest value in i, 0, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -396 (base 16) in base 11?\nAnswer: -765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28063041379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 7 - 77 = 0. Let v(h) be the third derivative of h**5\/60 - h**4\/2 - 13*h**3\/6 - h**2. Let w be v(d). Is w < 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.865825 litres to millilitres.\nAnswer: 9865.825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(10) + sqrt(1000)\/sqrt(4))\/(-2*sqrt(2)*3) + 2).\nAnswer: -6 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 95. Let k(l) = l**3 + 8*l**2 + 6*l - 7. Let c be k(-7). Let g be t(c). Suppose -8*m + g = -3*m. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 3*f - 17. Suppose -8 = -2*r - 3*q, -q = -3*q. Let c be z(r). Let m(g) = 30*g**2 - g - 2. Is m(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*c - 5*p - 44, -c - 34 = 5*p. Sort 0.02, 4, 27, c in decreasing order.\nAnswer: 27, 4, 0.02, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 9*r**2 - 22*r - 112. Let b be n(-8). Solve b = c - 9 + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -220*i + 4. Determine u(1).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 70\/87 in -0.2, -0.05, -2\/3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 274039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 82757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**4\/2 + 3815*z**3\/8 - 21687*z**2\/4 + 49205*z\/8 - 4825\/4 = 0?\nAnswer: -965, 1\/4, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 337817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z - 14 + 14.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 14 = 2*x, p + x + 3 - 20 = 0. Let i = 100 - 60. What is the greatest common factor of i and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202661 (base 7) to base 3.\nAnswer: 21201220020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 284 and 4508926.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1771 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7411238127 - -3529.4.\nAnswer: 7411241656.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n + 1680 = 0, -4430*n + 193 = 5*y - 4432*n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -28 - 12. Suppose -128*f + c = -123*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 3*c - 3, -3*b + 4*c + 0 = -4. Let k(d) = d**3. Let r be k(b). List the prime factors of 0\/(-2) + (11 - r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 863 - 43. Let w = -820.00000347 + v. Round w to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 33 - 9*t**2 + 49 - 2*t**3 + 13*t**2 as d + j*t**3 + q*t + p*t**2 and give d.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1179 + -1934. List the prime factors of 4\/((-20)\/h) + 1.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/i**0)\/i)**14 assuming i is positive.\nAnswer: i**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(2\/9)*b)*b*b*b*b**0\/b)\/((b\/b**(-2\/7)*b)\/(b\/(b**7\/b))) assuming b is positive.\nAnswer: b**(-382\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/10)\/((-8)\/(-10)). Let l be 2\/(4\/(-10))*65502\/(-765). Let s = -428 + l. What is the biggest value in 3\/4, j, s?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c - 1. Let h(f) = 15*f - 1. Let a(k) = 6*h(k) - 13*m(k). Let n be a(7). Let z = -3 - -2. Which is greater: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.2. Suppose -2*b - 3*b = h - 23, -2*h = 2*b - 6. Is d bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 130601\/5 or 26119?\nAnswer: 26119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (192 + 46 + 536)*(-2*y**4 + 2*y**3 + 1 - 2*y**3).\nAnswer: -1548*y**4 + 774","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/9 (b) -2.2 (c) 1718\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38096778697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(38)\/sqrt(2)).\nAnswer: -3*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m**3 + m**2 + 3*m - 2. Let r be i(1). Put r, 3, 0, 2 in descending order.\nAnswer: 3, 2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5592*y + 1 + 7370*y - 2 + 1)*(-y**2 - y + y).\nAnswer: -12962*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) 1 (c) 8 (d) -12\/157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.19 + 3.81. What is the biggest value in 2, 1, s, 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -84, -169, -254, -339, -424, -509?\n\"Answer: -85*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(3\/4)*f**(-5))\/(f**(-2\/11)\/f**1) assuming f is positive.\nAnswer: f**(-91\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 9:09 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mxmmmmmmmmmmm.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 6. Suppose -k*v = -2*v. Let p(q) = -q**3 + q + 5. Let i be p(v). Solve 2*l + 0*o = -5*o - 3, i*l = -4*o + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -84*b**3 + 13*b**2 + 8*b - 6. What are the prime factors of n(-4)?\nAnswer: 2, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127173*r**3 + 518*r - 67.\nAnswer: 763038*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 48 = 370*m - 353*m. Solve 229*p = 230*p + m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 + -2.98. Let p = 0.072 - 3.372. Let f = 0.7 - p. What is the second biggest value in f, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 1:09 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, 0.2, -120?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16 + 152\/(-24)*3)\/(1 + -2). Let n be 24\/9 + 2\/(-3). Factor -12\/5*y**n - 48\/5*y**a + 0 + 8\/5*y - 28\/5*y**4.\nAnswer: -4*y*(y + 1)**2*(7*y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 + 12*z**2 - 17*z - 65. Determine s(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 18, 7, 5, -3, 15.\nAnswer: -5, -3, 5, 7, 15, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292523?\nAnswer: 7, 11, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 8 = -3*w. Suppose -q = -5*m - w*q + 1, -q = m + 3. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13773.\nAnswer: 3, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 - -10100100010010?\nAnswer: 10100100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/7310 and 197\/127710.\nAnswer: 2171070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 2568*a + 373345. Determine u(-138).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 10 - 98 = 0. Let a = -21 - o. Suppose -15 = 12*l - a*l. Solve l*z + 18 + 2 = 5*n, -2*z = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.69 take away -62455735217?\nAnswer: 62455735217.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + a + 13 = -s, 0 = -2*a - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 196815.7 days in nanoseconds?\nAnswer: 17004876480000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-189 - (-109 + -64)) + (1 - (2 + 6))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*m**3 - 112*m**3 + 10*m**3 - 4*m**3.\nAnswer: -198*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6497 times 10.246\nAnswer: -66568.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -109*y**3 - y**2 - 3*y - 5. Let i(m) = 3*m**3 - 2*m - 1. Let t be i(-1). Is b(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2006 is divided by 77 + -19 + 15 - ((-2)\/(-1) - -4)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/5 and -7\/11138?\nAnswer: 55690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -13*t**6\/6 + 7*t**3\/3 + 6. Find the third derivative of x(n) wrt n.\nAnswer: -780*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/8 of a day?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 110 + -110. Suppose 6*g + 2*g + 56 = d. Let p(k) = -k**2 - 11*k - 24. Let t be p(g). Solve t*u = -2 - 18 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1694?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -236 - -245. Find the third derivative of g*j**2 + 596*j - 596*j - 67*j**3 wrt j.\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 55, 1603 in descending order.\nAnswer: 1603, 55, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 487*d + 22444. Determine s(-46).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 49.2 and -0.5.\nAnswer: -24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*(sqrt(180) - (sqrt(180)*2 + 1))**2.\nAnswer: -1448 - 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 44, 33, 16, -7, -36?\n\"Answer: -3*y**2 - 2*y + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13833 - 12363. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -1. Suppose 0 = -x + 4*x. Let v = -0.04 + -0.46. Which is the closest to d? (a) v (b) 0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, v: 2}. Give prob of picking 2 d and 1 v.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 + 5*m + 370. What is l(0)?\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -5*(1 - 4 - 0\/3) and 4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 7:43 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 7) to base 14.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 11*n**2 + 5*n - 64. Let w be x(-12). Suppose -51 = -w*b + 49. Solve -2 = -b*r + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1913*0.231.\nAnswer: 0.0441903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 251, 502, 751, 998, 1243, 1486, 1727?\n\"Answer: -t**2 + 254*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/48*3)\/((-2)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6*u = -3835. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*22\/44*(-1)\/(-3)*4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 8. Let s be u(-8). Let l be (-10)\/(-6) - (-3)\/9. Suppose s = l*b - 8, -b - 90 = -2*t - 0*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52\/7 or -8?\nAnswer: -52\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 8*a + 20 = 0. Suppose -3*h + 40 = g, 2*g - 67 = a*h + 43. What is the greatest common factor of g and 392?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, c: 2, p: 1, k: 2, q: 3, h: 3}. Give prob of picking 1 c and 1 w.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) -3.2 (c) -1 (d) 14527\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 0 - -1) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*u**6 - u**4 + 809926*u**3 - 4*u**2 - u - 632814 wrt u?\nAnswer: 1080*u**3 - 24*u + 4859556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 12a520?\nAnswer: -12a525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 178065 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39)\/sqrt(27))**2 - sqrt(13))*-4 - (sqrt(117)*5)**2*3.\nAnswer: -79027\/9 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3 + 0 - 49*m + 1 + 22*m + 21*m. Let f be (-7 - -1)\/((-2)\/(-2)). Does 24 divide s(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 - 35113*n - 35117*n + 105344*n - 35114*n.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snr when three letters picked without replacement from rnnblsn?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 768.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1278, -1, -5, 3, 0 in ascending order.\nAnswer: -5, -1, 0, 3, 1278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2442, 2450, 2474, 2508, 2546, 2582?\nAnswer: 2610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-6))\/(6\/18))\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - r + 2)*(r + 9364*r**2 - 9348*r**2 - r).\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 59*b**3\/3 - b**2\/2 + 3*b + 12. What is the hundreds digit of k(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) -2 (c) -2\/11 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 4*f**2 + 7*f - 10. Let t be c(4). Let z = t + -9. Suppose -1 = p - z. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327443 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 8:59 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z = 56. What is the highest common divisor of z and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67996505 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -778? (a) -0.2 (b) 2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 125488 and 125485 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 + 10*f**2 - 13*f. Let c be n(-6). Solve -c = -3*k - 5*q + 4, -5 = 3*k + 2*q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 156978 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 5, 4, 0.2, 19.505 in increasing order.\nAnswer: 0.2, 2\/7, 4, 5, 19.505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n + 13. Let x be l(-9). Let w(d) = -d**3 - 4*d**2 + 2*d - 2. Calculate the remainder when 50 is divided by w(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + m**2 + 3*m**2)*(5*m**2 - m**2 - 2*m**2 + (-3 + 1 + 1)*(-2*m**2 - 2*m + 2*m) + m - m - 3*m**2).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a micrometer in nanometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 15 + 0*q + 0*q - 18 - 3*q + 2*q. Determine h(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 5:19 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -31 + 43. Let q be 7 - ((-16)\/(-4) + f). What is the second smallest value in q, -0.5, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6234783 to 2 dps.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12320309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/2*z**3 + 85\/8*z**4 + 0*z - 3\/8*z**5 + 0 + 0*z**2.\nAnswer: -z**3*(z - 28)*(3*z - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**18*(a\/a**(-9))\/a)**(2\/7))**(16\/7))**(-31) assuming a is positive.\nAnswer: a**(-26784\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -7795335\/4 bigger than -1948834?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 + 33. What is the units digit of (r\/(-3))\/((-1)\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 4. Let h be c(-2). Solve 2*s = -h, -4*s + 5 + 3 = -3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - 6)*2\/(-4). Let p = 11 + -6. Suppose -u = -p*o + 5. Solve 5*z + 2*d = -21, -5*d + o*d = z + 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhfhmmmqjfmmmojjhjq. What is prob of picking 2 j and 1 f?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4192 divided by 4.\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21472.\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - -0.2. Let h = y + 2.6. What is the second smallest value in -2, 1\/4, h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 6*q. Let r be f(-5). Suppose r*j = 12 - 212. What is the tens digit of (-3)\/(18\/j)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/((sqrt(15) + sqrt(15) + (sqrt(15) - sqrt(15)*-1))\/sqrt(5)) + -4.\nAnswer: -4 + sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 659*k - 15*k**3 - 343*k - 428*k**6 + 430*k**6 - k**2 wrt k?\nAnswer: 240*k**3 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3) - 474\/(-54). Let l = 76\/9 - f. Determine n, given that l*n**4 - 1\/3 + 0*n**2 + 2\/3*n - 2\/3*n**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 0, 48, 6, -37 in descending order.\nAnswer: 48, 6, 0, -27, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 17*q**2 - 1 + 4 - 1. Let n(m) = 2*m - 24. Let j(f) = -f + 9. Let k(l) = -8*j(l) - 3*n(l). Determine d(k(w)).\nAnswer: 68*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 9 = 4*g, -f = 2*f - 4*g + 1. Suppose -f*y + 27 = -6*y. Calculate the common denominator of 51\/(-85)*(6 + 1) and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 8 = 5*v. Let c be 2\/v + (-16)\/(-64). Is (c + 4)*345\/30 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -0*w + 1320. Suppose 91*j - 92 = -5*p + 89*j, 0 = -p - 2*j + 4. What is the greatest common divisor of w and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*t + 104*t - 368*t - 29 + 2*t**2.\nAnswer: 2*t**2 - 11*t - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3) - (-3 + (-38)\/(-12)). Sort v, -1, 1 in increasing order.\nAnswer: -1, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**3\/9 + 2*f**2\/3 - f - 109. Solve o(t) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 197*a**3\/3 + 220. Let u(m) = -5*m**2. Give u(n(y)).\nAnswer: -194045*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5511*t + 3002*t + 3282*t)*(-3*t + 2*t - t)*(-t**3 + 3*t**3 - t**3).\nAnswer: -1546*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*q + 2*q - 5*q)*(-6*q**3 - q**2 + 8 - 12*q**3 - 6).\nAnswer: -198*q**4 - 11*q**3 + 22*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 991, 971, 951, 931?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/59, -0.3, -17, -3\/7, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76020 and 2985?\nAnswer: 15127980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*j - 0*n - 3*n, -2*j - 5*n = -28. Suppose -35 = -j*x - x. Suppose 0 = 7*t - 50 - 83. Calculate the remainder when t is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6563, -13124, -19685, -26246, -32807?\nAnswer: -39368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -242 - -256. Calculate the remainder when 138 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 7. Let f be u(-13). Let i(v) = 0 + 4*v + 0 + f - 9. What is i(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 2\/13, 4, 12\/131, -0.1 in decreasing order.\nAnswer: 4, 2\/13, 12\/131, -0.1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a - 5. Let u be c(-5). Suppose u*h - 2*r = 73, h - 35 = -h - 5*r. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 + 4158*o - 2. Let n(l) = 67*l. Calculate n(t(r)).\nAnswer: 134*r**2 + 278586*r - 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/11)\/w)**(-3\/13)*(w\/(w\/(w**(-2\/5)*w))*w)**(15\/8))**29 assuming w is positive.\nAnswer: w**(1044\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 18689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o + 7065*o**2 - 2982*o**2 - 1388*o**2)*(1 + o - 1) to the form w*o + u*o**3 + c*o**2 + z and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*h + 4. Is (-3)\/h + 370\/14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 - 2*y + 2. Let f(s) = 5*s**2 + 6*s - 5. Let m(b) = -9*b + 12. Let t be m(1). What is t*f(l) + 8*z(l)?\nAnswer: -l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 8*v**2 - 27 - 2*v + 30 - 4*v**2 + 0*v. Let z be k(3). Is 7 a factor of (-4)\/((-5)\/(105\/z))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 + 8*m**2 + 4*m - 12. What is d(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -168 + 84. Calculate the smallest common multiple of 32 and (1 - 2)\/(3\/b).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213980497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*((-6)\/9)\/(-1). Suppose 3*x - 9 - 19 = -4*b, -2*b + 44 = g*x. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/4*(3 + -2 + -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(-25)\/(u*u\/(u\/u**(-6))*u*u*(u\/u**(-3))\/u) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -3. Let p be (1 + 1 + -1)*140\/a. Let v = 72 - p. Solve 16 = -2*n - v*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - sqrt(171)*-3) + (sqrt(19) + -3)*-2 + sqrt(19))**2.\nAnswer: 132*sqrt(19) + 2335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*g**3 - 4)*(0*g**2 + g**2 - 3*g**2) + 4*g**5 + g**5 - 3*g**5.\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4853\/1410 + -866\/141. Find the common denominator of j and 97\/(-6) - (0 - 0).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 2:24 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 15 - 5 - 54 + 25.\nAnswer: 2*d - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**4\/8 - i**3\/3 - 6*i**2. Let r be v(6). What is the first derivative of -10*j**4 + 16*j**2 - 3 - r*j**2 + 0 wrt j?\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-100)*-8*(-10)\/18?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 6*z - 9*z - 3*f, 5*f = z - 10. What is the tens digit of z\/20 + (-3500)\/(-8) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100100101101111 (base 2) to base 16.\nAnswer: 1c96f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28374720.\nAnswer: 2, 3, 5, 11, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rddh when four letters picked without replacement from rdhdd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*t - 33, t - 13*g = -15*g + 19. Which is the second biggest value? (a) t (b) -4\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6 = 2*s - 4*s, 0 = 3*b + 2*s - 18. Suppose 0*d = -d + b. Let x(w) be the second derivative of w**5\/20 - w**4\/2 - w**3\/6 + 23*w. What is x(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 917.\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4706*d = -4699*d - 26215. Calculate the highest common factor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k*k\/k**(2\/9))*k*k**12 assuming k is positive.\nAnswer: k**(119\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -157*h - 14. Let p(c) = -79*c - 8. Calculate 6*m(t) - 11*p(t).\nAnswer: -73*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 87, 837, 3069, 7587, 15195, 26697, 42897?\n\"Answer: 134*d**3 - 63*d**2 + d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -12*x**3 + 12*x**2 - 6*x. Let l(k) = 11*k**3 - 10*k**2 + 5*k - 1. Let c(n) = 6*i(n) + 7*l(n). Give c(-2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90302 divided by -998.\nAnswer: 45151\/499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 5. Suppose -p*u - 3 = 27. Let f be u\/6*(-4 - -1). Solve 2*j - 1 - f = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-8)\/200*-10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 139*s + 2 - 197*s - 1 + 0 to h*s + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -12) + (-1 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 2725*p**7\/14 - 2091*p**4\/2 - 2359*p. Find the third derivative of z(n) wrt n.\nAnswer: 490500*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 8:54 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jpbii. What is prob of sequence bij?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 371004 - 1?\nAnswer: 371003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-4)*1 - -4. Solve -10 = 4*q - 2*j, -2*j + 3*j + w = -2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 78*r**3 + r**2 + 3*r**2 + 76*r**3)*(-27*r**2 + 109*r**2 - 38*r**2).\nAnswer: -88*r**5 + 176*r**4 - 88*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*c**3\/2 - 471*c**2\/2 - 171*c + 68.\nAnswer: (c - 68)*(c + 1)*(7*c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*w = 71*w. Let n(i) be the third derivative of 0 + 0*i**3 + 2\/21*i**7 + 4\/15*i**5 - 2\/5*i**6 + w*i + 0*i**4 - 11*i**2. Factor n(o).\nAnswer: 4*o**2*(o - 2)*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 + (19 - 27) + 5\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 908 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuxzxzzxuz. Give prob of sequence uzux.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 426, -5.\nAnswer: -5, 13, 426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6873294*d**2 - 3013*d + 1771?\nAnswer: 13746588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, c: 7, m: 6, w: 1, z: 2}. Give prob of picking 1 w, 2 c, and 1 m.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (2 + 3 + -6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 1 - 3 - d + (0*d - d + 0*d)*(2 + 1 - 2).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 49*q - 90. Let z(m) = -4*m + 8 + 0*m + 10 + 14*m. Let k(g) = 4*c(g) + 22*z(g). Factor k(n).\nAnswer: 4*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27\/5 of a century?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 834 - 25019\/30. Let m(v) be the third derivative of 20*v**2 + 0*v + 0 + 3*v**3 - n*v**5 + 0*v**4. Find the first derivative of m(y) wrt y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6741 + 0.6747927. Round p to 5 decimal places.\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53250?\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93 - -94. What is the biggest value in 2\/9, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**6\/24 - r**5\/10 + r**4\/16 - 6. Factor c(f).\nAnswer: f**3*(f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 minutes after 10:25 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n. Let b(r) be the second derivative of 0*r**2 - 1\/10*r**6 - 1\/2*r**3 + 0 - 4*r + 0*r**4 + n*r**5. What is the second derivative of b(q) wrt q?\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2934 is divided by 1454.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2148471977 to the power of 1\/3, to the nearest integer?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 4*j**2 + 4*j - 9. Let g be p(6). Let t = -30 - g. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 8 = -11. Suppose -v + 5*v + 4*u - 28 = 0, 4*v - 5*u - r = 0. Suppose -62 = -v*o - 2. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4108647 is divided by 821703.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -1, -20746, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 5*n - 1067 - 272, 4*a - 3*n - 1347 = 0. What is the greatest common factor of a and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (2 - (1 + 6)) - 3) + -15\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 + m - 5. Let p be l(-4). Suppose -2*w - 3*o + 702 = 0, -3*o + 8*o = w - 351. Calculate the greatest common factor of w and p.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(220))\/sqrt(4))\/(2*sqrt(11)*-2))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 94600 - -1?\nAnswer: 94601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*p - 10. Suppose p*c - 12 = 3*h, c + c + 2*h = 8. Suppose y + 2 = c*y. Which is smaller: y or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133824 and 34768?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30496057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/332? (a) -5 (b) 5 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4*(-10)\/(-20))\/(10\/(-15)) - 4. Let f(y) = -24*y + 3. Calculate f(o).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/24)\/((-5 - (-3)\/1)\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 14*u + 209. Let k be (-8 + 0)\/2 - u. Suppose 0 = k*s - 17*s + 1282. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-92)\/14*56\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 535997 - 536969 = 2*m, 5*m - 536531 = -k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -26 (b) -32\/7 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -23, -35, -55, -83?\n\"Answer: -4*s**2 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124 by -2.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/42)\/(18988\/4848))\/(324\/(-378))?\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 507. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c = 24*c + 63*c. Solve -2*w + 3*l = 2, 4*w + c*w + 4 = -5*l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 16*w**7\/21 - 12*w**6\/5 - 31*w**5\/40 + 71*w**4\/12 - 11*w**3\/4 + w**2\/2 + 5*w + 11. Determine k so that r(k) = 0.\nAnswer: -1, 1\/8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 7*v**2 + 6*v + 112. Let k be d(-8). Let c = 5855 - 1270532\/217. Which is bigger: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2143506*b**2*h**3 + b**2*h + 4*b*h + 512712*b + h wrt h.\nAnswer: 12861036*b**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5663*s**2 - 3361*s.\nAnswer: 11326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -1671*b - 6178. What are the prime factors of o(-14)?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 + -1 + -4 + 3. Let x(i) = 8*i**2 + 3*i + 2. Let j be x(b). Suppose 3*t - 4*t = -3*h + 232, 3*h - j = 4*t. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*(sqrt(5)*-1 + 3)*-5 + -2 + (((sqrt(1250) + (sqrt(1250) + 1*sqrt(1250) - sqrt(1250) - sqrt(1250)) - sqrt(1250)) + sqrt(1250))\/sqrt(10))**2.\nAnswer: -30*sqrt(5) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbjjjjjjbjjjjjjjjj. Give prob of sequence jb.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70.991 + -0.009. Is t <= -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2076624 a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17373, -34726, -52079, -69432, -86785, -104138?\nAnswer: -121491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**2 - 9650*a + 76959. What is t(8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1304 = -5*p - 429. Suppose 0 = p*k - 171*k - 4. Is 3\/167 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 5*g + 146 = 0. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 82 = -370. Find the common denominator of (m\/(-198))\/((-4)\/(-18)) - 2 and 73\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/36 + 5\/(-45). Solve g = 2*n - 3*n - 1, k + 4*n = -2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*j + 234 = -4*g + 104*j, 1319*g - 6 = 1315*g - j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12724220 divided by -3181055?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 37. What is the remainder when 134 is divided by f(10)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.75*0.0237.\nAnswer: -0.183675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*s + 1085 - 448. Let g(o) = o + 6. Calculate the remainder when s is divided by g(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-308)\/539)\/((-22)\/(-286)).\nAnswer: -52\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -383, -869, -1549, -2423, -3491?\nAnswer: -4753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 1:08 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7882, 15776, 23670, 31564?\n\"Answer: 7894*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2086958 divided by 2\nAnswer: 1043479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1402, -2800, -4198, -5596, -6994, -8392?\n\"Answer: -1398*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(405) - (sqrt(405) + (sqrt(405) - 3*sqrt(405)) + sqrt(405))) + (sqrt(300) + -1 + (sqrt(432) - (sqrt(432) + 1*sqrt(432)) - sqrt(432)))**2.\nAnswer: 253*sqrt(3)\/9 + 589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -311*r - 10574. Let w be j(-34). Let z = 3.5 + -3. What is the third smallest value in z, -4, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d. Let q = -2 - -8. Let v(g) = -g + 2. Let o be v(0). Let z(w) = -q*w + 6*w - o*w**2. Determine u(z(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43071 and 6125?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 0*c - 67\/30*c**5 + 0 + 79*c**2 - 17\/24*c**4 - 1\/6*c**3. What is the second derivative of n(b) wrt b?\nAnswer: -268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.47 + -0.276. Round i to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x - 3. Let y(s) = -5*s - 3. Give 3*f(i) - 4*y(i).\nAnswer: 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from {i: 3, j: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/23 and -63\/39836?\nAnswer: 39836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 2*t + 4. Let s be a(6). Suppose s = -3*y - 5*d, -y - d = 5 + 1. Let g = 1 + y. Solve 0 = -g*q + 3*q - 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 675501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 8, 0.402, -12, -2\/7, -4 in increasing order.\nAnswer: -25, -12, -4, -2\/7, 0.402, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 225 - 451 + g + 2*g**2 + 225 + (-g + 1 - 1)*(-4 + 4 + 2*g + (g + 2*g - g)*(2 - 1 - 4) + 0 - 3*g + 0).\nAnswer: 9*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + n. Let m(b) = 3*b**3 - 12*b**2 + 4. Let s(u) = m(u) - 4*z(u). Is s(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*n**4 + 229*n**4 + 346*n**4)*((0*n + 0*n - n)*(-2 + 2 - 1) - 2*n - 3 + 3).\nAnswer: -547*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -69*r**2 + 1441*r + 160. What is g(21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.852274ng in kilograms?\nAnswer: 0.000000000004852274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + -22. What is the tens digit of (-1 - -1) + j + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -c - 10. Let n(w) be the first derivative of 0*w - 9\/4*w**4 + 1\/2*w**c + w**3 - 14 - 3\/5*w**5 + 3*w**2. Factor n(y).\nAnswer: 3*y*(y - 2)*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1042*z**3 - 4143*z**3 + 1034*z**3 + 1033*z**3 + 1033*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-5))\/b*b)\/(b*(b\/(b*b*b**(1\/9)*b))\/b)*((b\/b**(-1)*b)\/b)**(-41) assuming b is positive.\nAnswer: b**(-755\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -234*g - 1164. Let d be s(-5). Let w = 0.7 - 0. Let t = w + -0.4. Put 2\/9, d, t in descending order.\nAnswer: d, t, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47327?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**5 + 4675*x**4 + 1095105*x**3 + 1081105*x**2 - 2180890*x = 0.\nAnswer: -467, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -20221 and 340.\nAnswer: -19881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 15 + 22)*(1 - 2*q - 1).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5412.4 - 5412. Which is the closest to -1? (a) -0.2 (b) q (c) 1\/3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i. Let p = 25 - 12. Let y(q) = 10*q**2 + 13*q. Let v(n) = 5*n**2 + 6*n. Let z(l) = p*v(l) - 6*y(l). Give z(k(j)).\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by -1335.\nAnswer: 16\/445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 36001*j + 3. Let f(o) = 1. Let d(k) = 4*f(k) - g(k). Let v be d(1). What is v rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*f*n**2 + 24892266*f*n - 666800114*n**2 wrt f?\nAnswer: 3*n**2 + 24892266*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -82, 1, 4474, -5 in increasing order.\nAnswer: -82, -5, 1, 4474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -5 (b) 234574 (c) 0.4 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -130 - -129. What is the tens digit of (g + 22\/4)\/(4\/528)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 - (-20)\/(-2 + 4). Let q(i) be the second derivative of 1\/6*i**4 - 1\/2*i**2 + 0 + 1\/3*i**j + 2*i. Let v(t) = 2*t**2 + t. Calculate 2*q(c) - 3*v(c).\nAnswer: -2*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 6)*(-4*a + 4*a + a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (186\/15 - 10)*220?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -642*b**2 + 9*b - 4. Let w(o) = -1285*o**2 + 22*o - 9. Determine -5*v(t) + 2*w(t).\nAnswer: 640*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-6*(sqrt(3) + 0 + sqrt(3)) - (sqrt(3) - (sqrt(3) + -3 + sqrt(15)\/sqrt(5) + sqrt(3)) - (-2 + sqrt(27))))**2.\nAnswer: 310*sqrt(3) + 2908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42472826?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1071 - -4881?\nAnswer: 6062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-328)\/287 - 104\/7) + 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y + 9. Let i(c) = 6*c + 19. Let w(o) = -6*i(o) + 13*r(o). Let k be w(-2). Suppose 3*n = -3*u + 27, 13 = u - 0*u + 2*n. Sort u, -1, k.\nAnswer: k, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*1\/(-100))\/(54\/4185*31).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(-330)*(15\/(-24))\/((-3)\/(-6)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l**2*l)\/l))\/((l\/l**6)\/l))\/(l*l\/(l*l**0*l))**(-4\/7) assuming l is positive.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15754, 15717, 15680, 15643?\n\"Answer: -37*z + 15791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5465 + -4884. What is the remainder when z is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(3 - -1) + (-22)\/33.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 1:47 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q. Let i(v) = 218*v - 112*v - v**2 - 106*v. Give i(u(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -22, -19, -18?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q**2 + 5 + q + 7*q**2 + 2*q. Let n be o(-3). Suppose -11*v = -19*v + 24. Solve -2*l + 6*l = v*a + 19, n*l = -4*a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**3*q - 2*i**3 + 6334*i**2*q + 438*i**2 - 2*i*q + 58*i - 65212 wrt i?\nAnswer: -18*i*q - 12*i + 12668*q + 876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4*w = -3*l + 1, 4*l + 12 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 1, b: 2, u: 1, s: 2, w: 2}. Give prob of sequence wb.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2169, -612, -13287, -40800, -88095, -160116, -261807?\nAnswer: -398112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53101\/508776 + -27\/2494. Calculate the common denominator of o and 97\/408.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -83 and -1.3?\nAnswer: 107.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - o**2 + 2*o + 5. Let l be (-6)\/(-27) - 4\/18. Let p be j(l). Suppose -2*f + 4 = -p*z - 64, 0 = 3*f + 2*z - 102. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 28 (b) 0.6 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16 + 3*(-6)\/9. Suppose q - c = -2*j, -j + 3*q - 12 = -2*j. Let o be 8\/j + 2\/(-6). Which is bigger: -2\/13 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 2 - -1) + 8010\/(-2136)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s + 5. Let h(v) = 4*v + 9. Suppose -7*g - 52 = 25. Calculate g*m(w) + 6*h(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 469006079 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 62232850 divided by 1930?\nAnswer: 32245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47 or 43?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 47*z**2\/2 + 3*z + 562. Determine d(1).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -23. What is the third derivative of r*z**5 + 3*z**2 - z**5 - z**2 + z**2 wrt z?\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z - 774*p + 212 = -785*p, -5*p = -2*z + 92 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - 18. Let f = b - -4. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/660066 and -16\/30723.\nAnswer: 614521446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8) - (-12)\/432?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.65017 to two decimal places.\nAnswer: -1.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -14. Let m be (2 + 1)*k\/8. Let r = -0.8 - 0.2. Which is the second smallest value? (a) r (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1187 and -1197680.\nAnswer: -1198867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2\/11 - 1755\/(-4004)*-4)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 23, 1\/7, -0.2, 2 in descending order.\nAnswer: 23, 2, 1\/7, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22644)\/(-3060)*(-5)\/(4\/(-4))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**2. Let i(j) = 138*j**2. What is d(i(f))?\nAnswer: -57132*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 29 = -3*d, -3*d + 7*d + 37 = 5*r. Suppose -3*k + 19 = r*i, i + 3 = 5*k + 18. Calculate the greatest common divisor of i and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**3 + 1 - 9*n**3 + 60*n - 5*n + 3*n**3 - 2*n**3.\nAnswer: -n**3 + 55*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2103202l?\nAnswer: 210.3202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 5*z - 71, z - 128 + 51 = -3*p. Suppose -p = 6*i - 2*i. What is the tens digit of -3*i\/(-9) + 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**3\/4 + 14*u**2 - 595*u\/4 + 387 = 0. What is u?\nAnswer: 4, 9, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-62)\/93*-42)\/((-24)\/(-3)))\/((-3)\/(-66))\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6205129, 6205220, 6205311, 6205402, 6205493, 6205584?\nAnswer: 6205675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 363466*j + 363468.\nAnswer: -2*(j - 1)*(j + 181734)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-35))\/(60\/1200).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2. Let x(m) be the third derivative of m**5\/20 - 6*m**2. Give s(x(d)).\nAnswer: -18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 126427661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/4)\/((-7)\/(-238)). Let f be (-2484)\/(-10) - 2\/5. Let y = f + v. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4614 and 260796?\nAnswer: 200552124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 84*r + 15 - 603 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 930590.\nAnswer: 2, 5, 93059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8, 14, 24, 38, 56, 78?\n\"Answer: 2*o**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81*i**3 + 81*i**3 + 4*i**5 + 13*i**4 + 22*i + 10*i + 3 wrt i?\nAnswer: 80*i**3 + 156*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 70*y**2 + 52*y - 2373. What are the prime factors of p(73)?\nAnswer: 2, 5, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/267652 and 97\/5214?\nAnswer: 802956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 421652 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19932 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10000824189127\/1012996598920 + 239\/52345835. Let c be 2*(-1)\/9676*12. Let t = j - c. What is the common denominator of t and -117\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6708734 > -6708730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + h + (h + 0*h - 4*h)*(-2 - 4 + 4))*(7*h**2 - 3*h**2 + h**2).\nAnswer: 35*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1624014, -1624012, -1624010?\nAnswer: -1624008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*p - 1401*p**3 - p**2 + 18*p**2 + 10*p**2 + p**4 - 48*p - 36*p wrt p.\nAnswer: 24*p - 8406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 0, -7, -4, 33, -740 in increasing order.\nAnswer: -740, -26, -7, -4, 0, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 7 + 5. Let y(u) = -u**3 + 6*u**2 + u + 4. Let d be y(t). Let i = -20 + d. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 11*w**3 + 5*w**2 - 5*w + 4. Let v(t) = 16*t**3 + 7*t**2 - 7*t + 6. What is 7*j(o) - 5*v(o)?\nAnswer: -3*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3248 = -4*s, 507 = 5*s + 3*i - 3553. Let w = s + -578. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 88, 24\/7, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-154) + (-75)\/525?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -176293, -175950, -175603, -175252, -174897, -174538?\n\"Answer: 2*r**2 + 337*r - 176632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32292 by 4.\nAnswer: -8073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - y + 20 = 4*y, 2*y = l + 8. Solve -4*h + 6 = h - q, l = -5*h + 3*q - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4163 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**6\/240 - 8*l**4\/3 - 21*l. Let d(j) be the third derivative of r(j). Let h(t) = -3*t. Determine d(h(a)).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 816555.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 5 - 23. Factor -9*y**3 + 0 + 3*y**5 + 0 - 2*y**4 - y**4 + b*y + 3*y**2.\nAnswer: 3*y*(y - 2)*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22482904*r**4 + 16763668.\nAnswer: -89931616*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 4, -0.048?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b**4 - 9281*b**3 - 1067478*b**2 - 1133055*b = 0.\nAnswer: -99, -15\/14, 0, 763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/12, -10\/3, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15647*y = 8488*y - 1094305 - 376503 - 363452 for y.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -183*a**2 + 88*a**2 + 93*a**2. Let o(u) be the second derivative of -u**3\/6 - u. Calculate o(s(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25\/4 in 0, -2\/29, 3, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/30*(4 - (-3 + 1)). Let w(u) = 3*u**3 + 3*u**2 - u - 2. Let y be w(2). What is the tens digit of (-4)\/z + y - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1813396 and 36?\nAnswer: 16320564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 11*z - 22. Suppose -49 = -5*q + 4*r - 2*r, q = -5*r - 1. Let k be l(q). What is the remainder when k + (-200)\/(10\/(-2)) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4702 = 4423. Which is the closest to -2? (a) -6 (b) -3 (c) f (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.3 + -2.8. What is the nearest to 0.1 in 2, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**4 + 614878*w**3\/9 - 2333720102*w**2\/3 + 8856294750238*w\/3 + 29529626752060\/9 = 0.\nAnswer: -10\/9, 11387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961611615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277791 is divided by 378.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeemsmmmmeeemeeseem. What is prob of sequence mm?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q + 5*f = -15, 3 = -2*q - f. Solve -3*m + 4*x + 15 = q, -m - 5*x - 10 = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*y = 44*y + 405 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 1080.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 29368319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = 37*v - 1456. What is the remainder when 5596 is divided by v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 7 = -t - 3, 4*m - 12 = 0. Suppose -2*w = t*d - 260, -3*w + d - 2*d = -396. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 106004.3 and -0.276.\nAnswer: 106004.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -330767 + 735708. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -864, -3236, -7190, -12726, -19844, -28544?\n\"Answer: -791*h**2 + h - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 257393 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 14*d**2 - 75*d + 33. Determine h(9).\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/16*-30)\/((-120)\/(-20))*-4.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10299?\nAnswer: 3, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1645649081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 7:15 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2589 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-177)\/(((-315)\/14)\/(-9) + -7). Is -2\/3 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -311, 0.3, -2\/7, 1, -4, -45.\nAnswer: -311, -45, -4, -2\/7, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 354.\nAnswer: 11682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5150 + 5?\nAnswer: 5155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -908 (c) 68\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*c + 126600 - 127020 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/258*4\/(-3)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 2. Let m(u) = 2*u - 4. Let w(i) = 3*m(i) + 5*n(i). Let t be w(2). Let r = 14.62 - -0.38. Which is the biggest value? (a) t (b) 0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 6*h**2 + 14*h - 4. Calculate p(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 148162*q - 740836. Give m(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from {w: 1, e: 2, v: 12, f: 1, k: 3}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 641 - 639. Find the third derivative of 89*u**h + 76*u**4 - 339*u**2 - 39*u**4 + 131*u**4 + 9*u**4 wrt u.\nAnswer: 4248*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 155*q - 17513. Calculate s(117).\nAnswer: 622","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**3\/3 - 2*a + 3. Let n(p) be the second derivative of 3*p**2\/2 - 75*p. Calculate 3*l(q) + 2*n(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**4\/12 + 5*d**3\/6 - 7*d**2\/2 + 8*d. Let m be z(6). Let p = m + 16. Solve -p*y + 2*y = -4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - i + 176. Calculate f(0).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(0 - -1) - 960. Let u = k - -11653\/12. Let l = 5\/17 - -43\/374. Find the common denominator of u and l.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 535513, -4 in descending order.\nAnswer: 535513, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3 - 7. Let k = -1070 - -1072. Suppose k*r = -2*p + o, -5*r - 38 = -4*p - 0. What is the highest common factor of p and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(121) + sqrt(121) + -5*(sqrt(121)*-2 + sqrt(121))))\/(2*((sqrt(132)*-1 - sqrt(132)) + sqrt(132))\/sqrt(12)).\nAnswer: 7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17642 + 4?\nAnswer: 17646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58953952 is divided by 63734.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 103*g**6\/40 + g**5\/60 + g**4\/24 - g**3\/3 + 84*g**2. Is 14 a factor of o(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)\/f)**11*(f**(1\/2))**(3\/2) assuming f is positive.\nAnswer: f**(-79\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 37675 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: What is the common denominator of 83\/172 and 101\/1032?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 + 38 = -21*d. Calculate the remainder when 59 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479558 is divided by 5156.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 63, 162, 329, 564, 867, 1238?\n\"Answer: 34*o**2 - 3*o + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32 - 3\/((-3)\/2). Let j = -15 + n. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k. Let v(o) = -88*o. Give v(z(l)).\nAnswer: 528*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 890649 - 2671897\/3. Factor -55*v - 60 - c*v**2 - 5\/3*v**3.\nAnswer: -5*(v + 3)**2*(v + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1461 - 179?\nAnswer: -15da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 7103*h + 78177. Give g(-11).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/52 + 7\/26. What is the nearest to -1\/4 in 4\/3, -1, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, -332, -10190?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1327, 106, -5, -2, -4 in increasing order.\nAnswer: -5, -4, -2, 0, 106, 1327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -513\/2867 at most 5.46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.6494 millilitres to litres.\nAnswer: 0.0816494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 - 6*z - 126. Calculate the remainder when 29 is divided by x(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-88)\/(-847) + (-4)\/14. Which is the nearest to -1? (a) -4 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, k: 6, f: 8}. Give prob of sequence gf.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 39 - 6 = 0. Let a(s) be the first derivative of -11 - 10 + s - s**2 + 41. Let w(g) = -6*g + 3. Calculate f*a(t) + 4*w(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80 + -68. Let z(l) = -l**3 + 11*l**2 + 10*l + 26. Let d be z(o). Solve 0 = 3*w - 5*y + 10, 0 = w - d*y - 2*y + 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(4840))\/(-3*sqrt(8)*1) + (sqrt(220)\/(sqrt(33)\/sqrt(3)))\/(sqrt(100) + 1*sqrt(100) + sqrt(100)).\nAnswer: -3 + 56*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 696 divided by 24.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 39596*u**2 - 392000397*u + 783842418.\nAnswer: -(u - 19797)**2*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 j, and 2 q when four letters picked without replacement from qdnnqnjqnjnjndnn?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -13*n - 106. Let j be q(-9). Suppose -j*s = -4*z - 16*s + 5317, 5314 = 4*z + 2*s. What are the prime factors of z?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 1 + (2 - 2). Suppose 3*i - 6*n + 13 = -4*n, n + 16 = -3*i. Suppose 9*l + 8 = 7*l. Sort z, i, l in decreasing order.\nAnswer: z, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 17*j**2 - 710*j - 196. Let y be c(42). Let p(k) = -2*k**3 - 57*k**2 - 26*k + 53. Calculate p(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1642528 is divided by 54745?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*w + 3*w - 4*w)*(w - w + 2*w**2) + 21*w**3 - 56*w**2 + 126*w**3 + 56*w**2 to the form v*w**3 + p*w**2 + t*w + b and give v.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -265, 43, 361, 695, 1051, 1435, 1853?\nAnswer: 2311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 4*x**2 + x**2 + 4*x**2 - 4*x**2 - x**2 + (-x - 3 + 3)*(-2*x - x + x) + 0 + x**2 + 0)*(1245 - 12*x - 1025 + 551).\nAnswer: -12*x**3 + 771*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 10. Let y(l) = -l**3 + 11*l**2 - 2*l - 1. Let m be y(z). Suppose -2*n + 2249 = m. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 >= -83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*v - 2*v - 24 = 0, -28 = -2*w - 2*v. Let g = 7 + w. What is the remainder when g is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 430169671*s**3 - 84*s**2 - 354358?\nAnswer: 2581018026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.3 (b) -1\/5 (c) 4.2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 62201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, 4, -1233 in ascending order.\nAnswer: -1233, -7, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 3*m**5\/25 - 81*m**4\/20 - m**3\/5 + 81*m**2\/10 - 944. Determine f, given that b(f) = 0.\nAnswer: -1, 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(625)*-3 - sqrt(625))\/(-1*sqrt(80)).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/53? (a) -3\/5 (b) 5\/7 (c) -0.3 (d) -0.2 (e) -5 (f) -1\/258\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3122 + 7621. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**1*b)\/b)*b)**(14\/3) assuming b is positive.\nAnswer: b**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 3*v - 6)*(-2 + 1 + 0) + 2 + 3*v + 0*v - 1 + (-130 + 130 + 8*v)*(-1 + 1 - 1) as p + o*v and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -104245223.25 and -932.7.\nAnswer: -104246155.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2*d = 4*j + 3, 2*d + 2*j = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2052841*l + 113. Let h be g(7). Round h to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -26. Solve -s = -4*s - y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -501701?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 7, -3, -322.\nAnswer: -322, -5, -3, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, c: 2, e: 4, r: 4}. What is prob of picking 2 c and 1 i?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-735)\/33 - (1725\/(-275) - -6).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 329 - 281. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**6\/120 + 5*k**4\/24 - 13*k**3\/6 - 5070*k**2. Determine a(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1921077617 to the nearest integer?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 540 and 136250\/253 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2298*o - 2298*o + 111*o**2 - o**2 + 1 - 1 + o**2 - 5 + 5 + 2*o**2 - o**2 + 0*o**2 + (3 + o**2 - 3)*(4 + 1 - 4).\nAnswer: 113*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21498 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 93 = -o + 3*i, -3*o = -2*i + i + 54 + 31 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 264*d**2 + d - 1. Let h be (0 + 4\/(-6))*3\/2. What is the lowest common multiple of t(h) and 8?\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25716 take away 0?\nAnswer: -25716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 24\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 66*f**2 - 4*f - 5. Let s be a(-1). Let p = s + -59. Let q = -0.1 - 0. Is q at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 4, 3, -20 in ascending order.\nAnswer: -20, 3, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2656153, 5312307, 7968461, 10624615?\n\"Answer: 2656154*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 104*u**2 + 2315*u - 10988.\nAnswer: (u - 4)*(u + 41)*(u + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-40 - (-23 + 6)) + 13\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8475449119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.59, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 212*i + 640. Let z be d(-3). Let a = -14 - -14. Solve 2*r = 4*f - 10, a = 5*f + z*r - 8*r - 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -48. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by -2\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8457 is divided by 8453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 25*q - 185. Let k be c(-19). Let z be (14 - k\/(-45))\/((-1)\/87). Solve 7 = 13*a - z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g*g**(-3\/5)))\/(g\/((g\/g**(-7))\/g)))\/(g*g**(-1\/2)*g)**8)**(-5) assuming g is positive.\nAnswer: g**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(45)\/(2*sqrt(9)) + sqrt(5)).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42876 and 216?\nAnswer: 85752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, n: 3, x: 2, e: 2, q: 1}. Give prob of sequence xn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -695 - -707. Solve -r = 6*q + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.9207 to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25767545333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17659884 is divided by 3651?\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1244\/3 - 1\/3*d**2 - 307\/3*d = 0.\nAnswer: -311, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-6)*(-9)\/2. Let s = c - -10. Sort 0.4, 0.3, s in increasing order.\nAnswer: 0.3, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 4*v = 123 - 113, -3*v = 4*l + 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 5)\/3 - -3. Let b(m) = m - 12. Let r be b(6). Let z = r + 9. Is u greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4760*b**3*m**4 + 124*b**3*m + 3*b**2*m**2 + 2*b*m**5 wrt m?\nAnswer: -114240*b**3*m + 120*b*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*s + 1)*(3 + 4 - 6).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -51.9, -0.4, -2, -0.41?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -44*k - 4491. Let o(b) = -70*b - 6736. Determine 8*l(z) - 5*o(z).\nAnswer: -2*z - 2248","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)\/sqrt(2)*6 - -6*sqrt(200))\/(2*-1*sqrt(160) - ((sqrt(160) - (2*sqrt(160) + sqrt(160)))*-4 + sqrt(160))))**2.\nAnswer: 405\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 216247 (base 8) to base 14\nAnswer: 1c7b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c + c**3)*(209 - 38587*c + 38587*c + 2*c**2).\nAnswer: 2*c**5 + 209*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 144357826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 22 = -4*x, -5*w - 24 = 3*x - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**5\/5 - b**4\/12 - 2*b. Let z be 2\/2*((8 - 0) + -7). Determine i(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*k + 37*k - 43 + 560 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjrq when four letters picked without replacement from {r: 11, q: 3, j: 4}.\nAnswer: 11\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, -3\/2, 4\/3, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, i: 1, u: 10, o: 3, j: 2}. Give prob of picking 1 i, 2 u, and 1 e.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12622 - 12620. Let o be (-4)\/(-12)*(-6)\/2. Suppose 14 - 2 = 2*w. Put -5, g, o, w in descending order.\nAnswer: w, g, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -1)\/(-6 + (-116)\/(-20)). Suppose 3*u = r + 16, 2*u + 3*r = -u. Sort -3\/8, n, u.\nAnswer: -3\/8, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 0.2 (c) -10.8 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3187205, 6374406, 9561605, 12748802, 15935997?\n\"Answer: -t**2 + 3187204*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/20 of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 219 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 300*x + 156. Let j be q(16). Suppose 41*l - j = 29*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -8603.28\nAnswer: 8599.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -0.10782, -2\/47, -1\/10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1974945, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41888 by -5236.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y**2 + 4*y + 110. Let c(v) = 20*v**2 - 15*v - 329. Let l(w) = 4*c(w) + 14*j(w). Solve l(z) = 0 for z.\nAnswer: -8, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by -14398\nAnswer: 14\/7199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1694 + 33993. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(9)\/((sqrt(36)\/sqrt(2))\/sqrt(6)) + 2 + -3)*-4)**2.\nAnswer: -128*sqrt(3) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 9*g**2 - 3*g - 33. Let d be b(-9). Let c(k) = 21*k**2 - 11*k + 8. List the prime factors of c(d).\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -0.329, -618?\nAnswer: -0.329","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120144 (base 8) to base 9.\nAnswer: 62282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 116*m**3 - 349*m**2 + 235*m - 2.\nAnswer: (m - 2)*(m - 1)*(116*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 5211907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-18) + (-115)\/(-9). Let s = h + 2. Let i(r) = -r**2 - 18*r - 68. What is the remainder when s is divided by i(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c615 (base 14) to base 16\nAnswer: 11b5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450 is divided by 114?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 4, -10, -2.571, 0.012, 0.1, -3\/2?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {a: 2, l: 5, z: 13}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 174034 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 less than 146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 3*w + 5*y + 30, w = 3*y + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*n - 75 = 0, 31 = 5*b + 3*n - 29. Find the common denominator of (-36)\/4*b\/(-33) and 14\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + j. Calculate the common denominator of 126\/(-16) + j - -3 and 1\/(-3) - 140\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/14756 and -41\/1387890.\nAnswer: 1462836060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-3)*612\/136. Let b = 2 - 8. Is a equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-1 - 123\/63). Let w = 2\/7 + p. Suppose 1\/3*i - 1\/3*i**2 + 1\/3*i**4 - w*i**3 + 0 = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36839 - 35020. Which is the third biggest value? (a) 1 (b) j (c) -0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -66488.\nAnswer: -1\/33244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 3, 30, -446, -59 in descending order.\nAnswer: 30, 5, 3, 2, -59, -446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201 + -189 + 1 + 13 - -59.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -29. Is -4 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2904)*2 - sqrt(2904))\/(sqrt(160)\/sqrt(5)).\nAnswer: 11*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 190387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**5 + 88185*r**4 - 651520674*r**3 + 50976507708*r**2 - 406079661960*r = 0. What is r?\nAnswer: 0, 9, 70, 14658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**3\/9 + 916*c**2\/3 + 170560*c\/3 + 13340416\/9 = 0.\nAnswer: -328, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 6) + (1 - (2 - 6)) + (-49 - -78)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1062 and 6?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -286 - -286. Solve v + 9*v + 50 = k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6228, 48079, 161688, 382935, 747700?\n\"Answer: 5980*m**3 - m**2 - 6*m + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 - 3*g**2 + 3*g**2 + (1 - 1 + g)*(0 + 0 - g) + 2*g**2 - 2*g**2 - 4*g**2 + 3*g**2 + g**2 - 5*g**2.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -1, 25 in ascending order.\nAnswer: -1, 3, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 584*i**3 + 613*i**3 - 1201*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121022112 (base 3) to base 10.\nAnswer: 11894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 101011 (base 2) to base 7\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a05 - 2223?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + n**2 + n - 1. Let l(r) = 25*r**3 + 35*r**2 + 35*r - 35. Give 4*l(d) - 140*u(d).\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 5, a: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 701114 and 2346.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (36\/(-42))\/(8\/(-28)). Let d be ((-32)\/(-24))\/(q\/36). Suppose -d*r + 14*r = 0. Solve 5*h + 15 - 5 = r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 159*y - 1281. Determine q(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 28 = -19*h + 17*h, 0 = -10*h + 3*p - 104 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 107562, 860043, 2902490, 6879885, 13437210, 23219447, 36871578?\n\"Answer: 107497*v**3 + v**2 - v + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-8)*k**11*k*(k\/(k**6*k)*k)\/(k\/(k\/(k**(1\/5)\/k))) assuming k is positive.\nAnswer: k**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 113289890 and 63570?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/13 + 288*n**2\/13 - 1178*n\/13 + 888\/13 = 0. Calculate n.\nAnswer: -148, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5864670 and 130005.\nAnswer: 52782030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2758 - 1519. Suppose -7*a + 0*a + f = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 10:35 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -5*h - 25, -h - 2 = 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 847378573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 37, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6756 and 262711564.\nAnswer: 2252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13628149 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fcrcecfefo. What is prob of sequence ffrf?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -4, 3061 in descending order.\nAnswer: 3061, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87\/261*(-18)\/102.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.9304993 to one dp.\nAnswer: -17.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 175*l**2 - 98*l + 730. What is the thousands digit of a(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*n + 10*n + 4. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (7 - 17) + -2 - -16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**6\/120 - 3*u**5\/20 + 7*u**4\/12 + u**3\/3 + 14*u**2. Let z be h(7). Sort 9, -1, z in ascending order.\nAnswer: -1, z, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -0.2 (c) -1\/26 (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -242 - -244. What is the second derivative of 3*w**4 - 33*w - 2*w + 5*w**2 + 2*w**2 + 9*w**z wrt w?\nAnswer: 36*w**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 16*g - 5*j = 4, 8 = 2*g + 2*j. What is the least common multiple of 172 and g?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 570 (b) -5 (c) -3.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 850 at least 852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 278\/6 + (-4)\/(-6). Let o = 21800 + -152927\/7. Let x = s + o. Which is greater: x or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 785 and 1347908585?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -321, -771, -1411, -2247?\nAnswer: -3285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006251136 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**4\/12 + m**3\/2 - 9*m**2\/2 - 3*m. Let t be l(-4). Sort 0, -3, t, -19.\nAnswer: -19, t, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -2.4. Let m = 0.6 - s. Let q(c) = -3*c**3 - c**2 + c + 1. Let z be q(-1). Sort z, 0.1, m in ascending order.\nAnswer: 0.1, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1611401*d + 1610462*d + 7)*(-d**3 + 3*d**3 + d**2 + 0*d**2).\nAnswer: -1878*d**4 - 933*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_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: Let r = -42 + 27. Let g = -16 - r. Put 0.3, -0.4, g in descending order.\nAnswer: 0.3, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13388 is divided by 497?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a + 1. Let u be j(1). Let v = -17 - -12. Put v, -1, u in descending order.\nAnswer: -1, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15631 divided by -49.\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.01 (b) -84735 (c) 3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 12:45 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, o: 4}. What is prob of sequence jo?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1aa3271 (base 11) to base 7\nAnswer: -42012456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 1)*(-5 + 3 + 1)*(-53*z + 51*z + 46*z) - 1 + 1 - 2*z.\nAnswer: 130*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - -4 - (18 - (2 + 14 - -19)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1832106 + -2660218073\/1452. What is the common denominator of -2\/45 and j?\nAnswer: 21780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k = 22*k + 215. List the prime factors of k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y. Let n(o) be the first derivative of 9*o**2 + 1. Determine c(n(l)).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0791 - 3508083.92.\nAnswer: -3508083.9991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*l - 10*l + 433 - 8216 = 0 for l.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 10:59 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, m: 3, w: 1, b: 3}. What is prob of sequence tt?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72 + 391. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -58. Let o = -920204.99958 + 920240. Let s = o - a. What is s rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*t - 16524 = -66*t. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/(-25))\/((-9)\/15). What is the second derivative of 455*c**u - 5*c**4 - 455*c**2 - 6*c wrt c?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -102 or -100?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59913.4891 + 59906. Round i to one decimal place.\nAnswer: -7.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 14239.17l?\nAnswer: 14239170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79 - 143. What is the units digit of -6 - i - (-1 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/75*(-5130)\/798 - (153\/(-56))\/(-3).\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200 and 6800?\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17636361 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/3)\/((g**(-6)\/g)\/g)*g**(2\/9)*g*g*g\/g**1*((g\/(g*g**0))**(18\/5))**15 assuming g is positive.\nAnswer: g**(95\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8083 by -137.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1975209 is divided by 175.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79 (base 11) to base 7.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(5\/2 - (1 + 1)). Solve -z*u = k + 15, 3*k + 2 = -u - 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 36*s**2 - 272*s + 185. Calculate the remainder when 169 is divided by k(-25).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -280 (base 13) to base 5\nAnswer: -3232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -2*p + 4*t, p + 5*t = 14 + 1. Calculate the remainder when (92\/10)\/(p\/(-25)) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 38*d - 65. Let j be w(2). Suppose j*b - 70 + 37 = 0. Solve v + 4 = -a - b, -4*v = -5*a + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0.3. Let k = -1.5 - 11.1. Let l = k - -12.72. Which is the second biggest value? (a) -0.1 (b) l (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -188275429*f**2 - 148203483 wrt f?\nAnswer: -376550858*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165854826 is divided by 331.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1270098, 1270052, 1269972, 1269858?\nAnswer: 1269710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-94)\/(-517) - 57\/11. Let z(y) = 21*y**2 + 8*y + 20. Let i(r) = -4 - 9 - 5*r - 7*r**2 - 7*r**2. Let m(l) = c*z(l) - 8*i(l). Differentiate m(b) wrt b.\nAnswer: 14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 2) in base 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 62*z + 19 - 2*z**2 - 72 + 6*z. What is the units digit of q(28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (689\/(-52) + 14)*10\/(-6)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d - 3*d - 3*d - 8*d**5 wrt d?\nAnswer: -160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -14*f - 44. Let g(r) = -r**3 + 2*r - 5. Let v be g(0). Let w(i) = -i. Let d(l) = v*w(l) + x(l). Find the first derivative of d(y) wrt y.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87847253 to the power of 1\/2, to the nearest integer?\nAnswer: 9373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 + -124?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -263 divided by -3799?\nAnswer: 263\/3799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -11. Suppose -r - 4*r + q = 0. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 3641.\nAnswer: 5\/3641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14905 and 249150.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7634335*k - 53015552 wrt k?\nAnswer: -7634335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 28 - 18)*(t**3 + 2*t**3 - 2*t**3) + 0 - 2 + 3*t**3 - 1.\nAnswer: 28*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -375932 divided by 2?\nAnswer: -187966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1018926 is divided by 6029?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.419 * 32613\nAnswer: 13664.847","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6445287951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + a**2 - a + 1. Let n(v) = 20*v**3 - 9*v**2 + 5*v - 82. Let x(s) = -5*j(s) - n(s). What is the first derivative of x(y) wrt y?\nAnswer: -75*y**2 + 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 2. Let x be n(6). Let o be ((-14)\/4)\/((-2)\/x). Suppose 6*q - 4*q - 22 = 0. Solve -p + q = -5*l, -p - 9 = 4*l + o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47? (a) -7 (b) -5 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - r**2 - r + 1. Let k(i) = 6*i**3 + 7*i**2 + 5*i - 5. Suppose -3*m - 2*m = -t + 14, 4*t = -3*m - 13. Give t*k(a) - 5*d(a).\nAnswer: -a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 192759, 192760, 192761, 192762, 192763?\n\"Answer: m + 192758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -y + t + t, y - 4*t - 62 = 0. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**9*f**(5\/6)*(f**(-1))**(-30)*(f\/f**(-1\/5))\/(f**(-1)\/f)*f**(4\/9)*f**(-7) assuming f is positive.\nAnswer: f**(3283\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23206 is divided by 23184.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - 1. Let k be (-9)\/(-6) + w\/(-4). Let d = -5 + k. Which is the biggest value? (a) 2\/5 (b) d (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5652214 + 2?\nAnswer: -5652212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 + 2*r + 0 + 3*r**2 - 4. Let u(h) = h**3 + 13*h**2 - h - 17. Let c be u(-13). What is the units digit of w(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -81. Suppose -4*i = -246 + j. Calculate the greatest common factor of 32 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y**(-3\/2))*y))**10 assuming y is positive.\nAnswer: y**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 4, 3, -4.\nAnswer: -16, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*r = -85*r + 388 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k = 2077432 + 1332751. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**5\/3 + 3*v**4 + 4*v**3\/3 - 52*v**2 + 48*v = 0.\nAnswer: -4, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/144*(-30)\/5*-7*(-2)\/42.\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/6)*n\/(n**(-15)*n))**(-10) assuming n is positive.\nAnswer: n**(-475\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/11970*70\/14\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*l - d = 29, 4*l - d = 38. Let y = 11 - 14. Put -2, l, y in ascending order.\nAnswer: y, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n**2 - 5*n - 5. Let g(k) = 15*k**2 + 10*k + 18. Let w(z) = 44*z**2 + 31*z + 53. Let p(j) = -11*g(j) + 4*w(j). Determine -8*l(o) - 3*p(o).\nAnswer: -o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 154 by 4.\nAnswer: 77\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12975, -51841, -116617, -207303?\nAnswer: -323899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4531460251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94\/5 - 19. Let z(a) = a**3 - 10*a**2 - 1. Let p be z(10). Is o < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -571.036 rounded to 0 dps?\nAnswer: -571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 divided by -1501254?\nAnswer: -26\/750627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 7:11 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -1, 1.\nAnswer: -56, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -233, -397, -571, -755?\n\"Answer: -5*t**2 - 149*t - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-86 + 86 - g)*(3*g + g - 6*g - 9) in the form h + d*g + x*g**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.3 (b) 19\/22 (c) -218\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 68\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -757, -3030, -6817, -12118?\nAnswer: -18933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/6 + (10 - (-11619)\/54) is divided by 59.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 240*a**2 - 239*a - 600. Give s(241).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1250 times -4186.2?\nAnswer: 5232750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 357222919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -80, -83, -86, -89?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.083493 rounded to one decimal place?\nAnswer: 19.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r**3 - 21*r**2 + 37*r + 68. What is the hundreds digit of h(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 11*b**2 - 13*b**2 + 0 + 0. What is j(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**3 + 28*m**4 - 17*m**2 - m**2 + 2 + 19*m**2)*(-3 - 3 + 5).\nAnswer: -28*m**4 - 5*m**3 - m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -47, -87, -143, -221, -327, -467?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a**7)*((a\/a**(-1)*a)\/a)\/a)\/(a*a\/(a*a\/a**(3\/7))*a**(8\/9)\/a))**5 assuming a is positive.\nAnswer: a**(-1675\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3)*45\/10. Let j(u) be the second derivative of 7*u**4\/12 - u**3\/2 - u**2 - 14*u. Is j(m) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 14201527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4224\/(-792))\/(8\/(-30))*3\/(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -309250 to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 31 - 13 = -2*a, -5*r = 15. Suppose 39 = 553*d - 540*d. Sort 5, a, d.\nAnswer: a, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**7*z*z)\/z)\/(z*z**(1\/2)))**23 assuming z is positive.\nAnswer: z**(299\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, t: 7, m: 1, a: 5, z: 2}. What is prob of sequence aza?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -282 by 6.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 7*h + 0 - 7\/6*h**3 - 1\/20*h**5 - 6*h**2 - 7\/12*h**4. What are the prime factors of i(-7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27081567 from -5.\nAnswer: -27081572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24551581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqqq when four letters picked without replacement from qkkqqqqqqqqqkkqqqq.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -9*x**3 + 4*x - 5. Let i be p(2). Let l = i + 73. Solve 0 = 4*g - l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -221535058*b. Let h(g) = 2*g**2. Calculate h(i(m)).\nAnswer: 98155563846126728*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + h + (3 - 3 + 1)*(2*h - 1 + 1))*(7 - 15 + 7)*(2 - 2 - h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(2\/3))*p)**(2\/21)*p**(-1)*p\/p**(1\/2)*((p**(-4)\/p)\/(p**0\/p))**(-4\/5) assuming p is positive.\nAnswer: p**(1721\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**5\/20 + 3*l**2. Let q(s) = -s - 2. Let o be q(-4). Let d(j) = 36*j - 36*j - 2*j**o. Calculate d(t(v)).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - (-39)\/(-15)) + (-1314)\/(-15). Let g = 92 - x. Suppose -12 = -g*q + q. Solve -q*m - 4*w + 8 = 0, 0 = -3*m - 2*w + 4*w + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}