diff --git "a/data/dm_maths/full_data_2/165_11255.jsonl" "b/data/dm_maths/full_data_2/165_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/165_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: (-10)\/(-32)*((-1628)\/(-37))\/440\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.6 - -127.6. Let g = -3.17 - 127.83. Let m = l + g. What is m rounded to zero decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yooeooyyooyoo. Give prob of sequence ye.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-7) + 30\/(-14) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, -1.58, -0.06, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -51.3, -4, -323?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 5. Let b be i(-7). Let j = -60 + b. Let r(t) = 3*t**2 + 13*t + 2. Let k be r(j). Solve 0 = -3*q - 5*y - k, q - 4*y - 28 = 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1009\/14852 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 145 + 129. Suppose -14*d = 10*d + l*d. Solve d*s = -6*s + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzz when three letters picked without replacement from {b: 2, z: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*(sqrt(252) + sqrt(252) + 0 + -4 + -1) + 4)**2.\nAnswer: -4896*sqrt(7) + 37445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 31 = -3*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95 and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200954.\nAnswer: 2, 13, 59, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 3*u**2 + 32 - u**2 + 0*u**2 + 4*u - 28. What is w(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -3, 1, 322, 17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20803350 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*sqrt(288).\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*b**3 + 167*b**2 - 167*b**2 + 8*b**3 + 10*b wrt b.\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 86*r - 4644. Calculate g(54).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 91 + -7 - (-6 + -6). Let k = 27 - 15. Calculate the highest common factor of k and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*u + 41, -2*o = -4*u + 3*o + 47. Let k = u - 6. Determine v, given that -2\/9*v**k + 0 + 2\/9*v = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 2. Suppose 0 = -5*f - 3*c + 4*c + 123, 4*f - 93 = -c. What is the remainder when f is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85677 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55975 and 347045.\nAnswer: 1735225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.02 (b) 208374 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.142 - 0.222. Let n = -6 + p. What is the third biggest value in -1, -0.3, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 440 and 800?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85720870.\nAnswer: 2, 5, 109, 78643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 243 - 243.22. Let p = -0.22 - t. What is the nearest to 4 in p, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76 + 149\/2. What is the nearest to -1\/3 in f, 5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628805.\nAnswer: 5, 19, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 2*s - s + s - 2*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-144)\/40 + 4 - (-4)\/(-10). Is 0 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -8*k**2 - 6*k + 14. Let v be t(-6). Let l = 132 + v. Let x = l + 219. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 + 1 - 1 + 2*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((22 - 34) + 8)\/438*36\/(-8).\nAnswer: 3\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*b**2\/2 - 129*b\/2 + 138.\nAnswer: 3*(b - 4)*(5*b - 23)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 38. Let s be -3 - (0 + 2)*(-56)\/r. Suppose -21 = -5*b + s. Solve -b*n - 10 = 5*q, 5*n + 23 = 3*q - 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y + 2*y - 2 - 4*y. Suppose 0 = 5*p - 5, -5*a - 28 = -0*p + 2*p. Let t(b) = -7*b - 2. Calculate a*t(w) + 5*f(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 0.1, 0.037 in ascending order.\nAnswer: -2, 0.037, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**2\/2 + 21. Let n be c(-2). Suppose 3 = n*z - 7. Is z greater than or equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -108*r**3 + 2340*r**2 - 13056*r + 4096.\nAnswer: -4*(3*r - 32)**2*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 8*v. Let n be a(-7). Let l = n - 2. Let q(r) = 2*r**2 + 2. Let b(s) = -s**3 + 5*s**2 + s + 4. What is l*q(x) - 2*b(x)?\nAnswer: 2*x**3 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*m + 9 = -6, 5*y - 2*m = -6. Find the third derivative of 5*n**3 + y*n**3 - 3*n**2 - 3*n**3 wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32)\/(-18) - 6\/(-27). Suppose 6 = 4*k + 3*p + n, p = -k + 2. Let l(w) = -19*w + 0 - w**3 - 2*w**2 + 5 - 14*w - 6 + 30*w. Determine l(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x + 3. Let j(y) = 11*y - 5366. Give 2*j(d) + 10*l(d).\nAnswer: 2*d - 10702","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 322548*h.\nAnswer: -3*h*(h + 107516)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 18180 divided by -6060\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10240 - 13004?\nAnswer: -2214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 689814.9 kilograms in grams?\nAnswer: 689814900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 3.80503?\nAnswer: -6.80503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9497 + 9650. What is the greatest common divisor of f and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378 = -20*i + 22*i + 6*y, 3*y - 513 = -3*i. Solve i - 156 = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -18059*x - 1029369. What is m(-57)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - sqrt(189)\/sqrt(3)*-6) + sqrt(63) - sqrt(63))\/sqrt(9) - (1 + (sqrt(28) + -2)**2).\nAnswer: -33 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129588 is divided by 1557?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2122 (base 4) to base 8.\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h - 4 = 27*h. Suppose s = -h*i + 4 + 1, s - 5 = i. Solve -12*y + 7*y = i for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 - -2.03. Let b(h) = -h - 5. Let i be b(-6). What is the nearest to 2 in p, i, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-seven fifths of a micrometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3998 + 1087457\/272. Which is smaller: i or 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from jxnxyjyn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 7*d - 5. Let n(g) be the third derivative of g**3\/6 - 21*g**2. Let t(k) = -l(k) - 6*n(k). What is t(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1898005829.\nAnswer: 1303, 1456643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1532375 is divided by 766004.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/4)*q)\/(q*q**(5\/9))*q**33\/q**(-23) assuming q is positive.\nAnswer: q**(2023\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 3*z**2 + 2*z**2)*(-4 + 1 - z + 6).\nAnswer: -z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 9:58 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 2*r. Let s be f(2). Let t be (-485730)\/(-56) + (1 - 2)\/s. Suppose 21403 = 4*u - 3*v + t, -5*v = -2*u + 6361. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**3 - 3*j**2 + j - 1. Let z be c(2). Let r(g) = -g**2 + 6*g + 6. Let a be r(z). Calculate the greatest common factor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81*28\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5 = 0, -o - 17 = -11*h + 7*h. Sort -4, -3, h, -12 in ascending order.\nAnswer: -12, -4, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -2*x + 24, 6*q - 2*x - 42 + 74 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 275 + -279. Let x = -3\/64 - -99\/64. Which is the closest to 1? (a) x (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 103\/48?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 3)*(2*l**3 - 8 + 8) + 2*l**3 + l**3 - 5*l**3)*((-4 - 3*l + 4)*(-3*l + 2*l - 2*l) + 0*l**2 + 6*l**2 + 0*l**2 + (3 - 3 - 1)*(-l**2 + 2 - 2)).\nAnswer: 64*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*x = 75*x + 3348. Let i = 1372 - x. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/4*(-48)\/9. Let a = -4 + t. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -153*m. Let l(n) = 335*n. Calculate w(l(b)).\nAnswer: -51255*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 + -3 - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**2\/21 - 46*m\/3 = 0?\nAnswer: 0, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32744, 32740, 32736?\nAnswer: 32732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1 - 2 - 1 + 2 + (-1 + 1 - 2)*(-1 + 1 + 1))*(-127*b + 127*b + 8*b**2).\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d - d + 14*d**4 + 5 + 2*d - 10*d**4 to the form b*d**3 + i + o*d**2 + a*d**4 + y*d and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**3 + 5*u**2 + 4*u - 3. Let a(i) = i**3 - i**2 + i. Let f(n) = -2*a(n) - k(n). Calculate f(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 7*g = -396. Suppose 0 = 3*h, 2*h = 2*x - h - g. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 9:59 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181121 is divided by 5326?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -14*y. Let c be a(0). Let p be (-1)\/(0 - (-79)\/2). Is p smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.32 + 966324053\nAnswer: 966324052.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -146\/105 + -17\/21. Let i = s + 28\/15. Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 850613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 330.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 - 301*m**3 - 2*m - 21*m**2 - 302*m**3 + 601*m**3 + 3*m + 17*m**2 in the form w*m**3 + v*m + u*m**2 + j and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 0*j - 5 + 17 - j + 0*j. Let g be f(12). Which is the biggest value? (a) -0.1 (b) g (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 11*h**2 - 5*h - 5. Let n be z(-6). Let v(b) = 3*b**3 - 28*b**2 - 13*b - 29. Let r be v(10). What is the greatest common divisor of n and r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*j - 24 = -10, -4*g + j + 11 = 0. Let h be -1 - (6 - (0 + 1)). Put 5, h, g in ascending order.\nAnswer: h, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887438*d - 5*h - 80 = 887433*d, 4*d + 2*h = 64 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -5*i**3\/4 - 1665*i**2 + 41445675*i + 112946215320 = 0.\nAnswer: -3798, 6264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 372\/90 + 0 - (-6)\/(-45). Let d(s) = -s**3 + 5*s**2 - 3*s - 3. What is d(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 63895 and 0.1303.\nAnswer: 63895.1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2 + 78*n - 570. Calculate the remainder when o(28) is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -71\/5 (b) -0.2 (c) 3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3248*q + 3905*q - 7042*q.\nAnswer: 111*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -c + 8, 0 = -2*c + 5*a + 1283 - 1278 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(130)\/(sqrt(70)\/sqrt(7)).\nAnswer: -2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**5\/120 + p**4\/8 + p**3 - 2. Let g(b) be the third derivative of i(b). What is g(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -23*y + 252. Suppose -g + 21 = 19. Suppose -g*u - q + 3*q + 18 = 0, -35 = -4*u + 5*q. Is y bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3140 + 15701\/5. Factor 2*w + f*w**2 + 5.\nAnswer: (w + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/6, -0.6335 in ascending order.\nAnswer: -0.6335, -1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 12*a + a)*(1 + 2*a - a - 3).\nAnswer: -13*a**2 + 26*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-8) + (-2835)\/(-3080)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3 + 5727 = 0. What are the prime factors of k?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 7:36 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*l - 41738 = -2*c + 157*l, -3*l - 83476 = -4*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 15*w**2 + 13)*(-3*w + 5*w - 1 - 4*w) - 2 + 0*w**3 + 1 - 2*w**3.\nAnswer: -32*w**3 - 15*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -453281214 by 3.\nAnswer: -151093738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2553 = 929*b - 187*b + 14425 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -6. Let q = -0.01 + 0.11. What is the second smallest value in q, j, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + (-26)\/10)*-20. Is z\/32 + 520084\/32 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**6\/20 - b**5\/15 - 11*b**3\/6 - 2196*b**2. Let m(c) = 17*c**3 - 11*c**2 - 32. Calculate 3*m(l) - 8*u(l).\nAnswer: 3*l**3 - l**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000269 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 5*d + 7. Let p(g) = -g**3 - 12*g**2 - 8. Let y be p(-12). Let c be n(y). Let q = -12 - c. Solve -a - q = -2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77899*y*z**3 + 390519*y*z**2 - y*z + 4*z**3 wrt z?\nAnswer: 467394*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 8. Suppose -3*g = 2*g + 3*b - 13, -7 = g + 3*b. What is the units digit of f(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1123*w + 2*w**5 - 1124*w - 6*w**3 + 2 + 2*w**3 + (2*w**3 + 2*w**4 - 2*w**3)*(1 + 2*w - 1).\nAnswer: 6*w**5 - 4*w**3 - w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -201110?\nAnswer: 201022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145272 and 59376.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**5 - 21*i**4 + 11*i**3 + 35*i**2 - 26. Let w(u) = -20*u**4 + 10*u**3 + 35*u**2 - 25. Let a(y) = 5*q(y) - 6*w(y). Determine o so that a(o) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 35, -2, -2\/23, -1\/4, -11\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3764 + -4019.6.\nAnswer: -255.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1 (c) -0.01 (d) 0.5 (e) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 469\/118 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 2 + -2 - -17. Let h be 4\/f - 260\/(-45). Solve h = -4*w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**5\/180 - 31*i**4\/18 + 41*i**3\/6 - 221*i**2 + 16. Suppose y(f) = 0. Calculate f.\nAnswer: 1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(0 + -4) - (-2 + -2). Let h be -3 + 8 + f + -5. Solve 5 = -h*k + 11 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 + 71. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15190325515 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3103 and 0.02?\nAnswer: 3102.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -1.8. Let u be (-13)\/(-4) + 1\/(-4). Let i be 2\/u + 56\/(-66). What is the nearest to r in 3, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/6*48\/(-128)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from {c: 4, o: 1, e: 7, n: 1, j: 2, q: 3}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2951 - (-2 - -4))*(-29 + 26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 6. Let n(w) = 3*w + 17. Let s(i) = 14*a(i) + 4*n(i). Let v be s(-7). Is v equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 4:37 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 5*y + 24. Let q = y + 19. What are the prime factors of (-8)\/(-60) - (-883)\/q?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25431202?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 7*w**3 - 6 - 5*w**3 - 4*w**3 - 2*w**4 - 3*w**2 + w**4 to the form t*w**2 + b*w**3 + q*w**4 + y*w + j and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -824 = 2*v + 2*v + o, 0 = -4*o + 16. Let l = 247 + v. Calculate the greatest common divisor of l and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2237, -1577, -485, 1033, 2971, 5323, 8083?\nAnswer: 11245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 6*n**2 + 10*n + 17. Let o be t(-5). Let l(k) = -k**3 - 10*k**2 - 15*k + 2. Let f be l(o). Let b = f - -19. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 take away 0.1?\nAnswer: 184.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 42 - (93 - 111)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - (-9 + (2 - (-2 + 2)) - (57 + -63))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2948 and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 - -1003224?\nAnswer: 1003202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*l + 2814 = 42*l. Suppose -i = -2*i + 4. Suppose -4*b - i*t = -5*b + l, 464 = b - 3*t. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + -1. Let p = 0.1 - 0.6. Let m = p - o. Which is the nearest to -1\/3? (a) 1 (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*1*sqrt(84) + (sqrt(84)*-1 - sqrt(84))*-6)\/(sqrt(144)\/((sqrt(12) - sqrt(12)*-1)*1)) + 0 + -1.\nAnswer: -4 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 2*j - 3. Let v(p) = -p**3 + 2*p**2 - 3*p + 2. Let d(b) = -4*b**3 + 9*b**2 - 12*b + 7. Let z(q) = 2*d(q) - 9*v(q). Determine -3*c(w) + 2*z(w).\nAnswer: -w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*j + 18, 3*o + 15 = -2*j - 0*j. Let w be j\/(-9) + 0\/2. Let r = -103597\/4 + 25899. Put w, r, -6 in decreasing order.\nAnswer: w, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 9 - (-37 + 31)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(432) - sqrt(432)*-1)*-2 - sqrt(432))*2)\/((sqrt(18) - (2*sqrt(90) + sqrt(90) + sqrt(90) - sqrt(90))\/sqrt(5))\/sqrt(2)) + -2)**2.\nAnswer: -80*sqrt(3) + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*y + 3757 = 0, -2*c - 5*y + 6823 = -709. Is c less than 3762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x*x**(2\/5)\/x)))\/x**(1\/4))\/((x**(-1)\/x)\/x**(-8)))\/((x**2*x)\/x**6*x**(-7\/4)*x**(1\/7)) assuming x is positive.\nAnswer: x**(-87\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f - 1. Let h(r) = -2*r + 1. Let n(w) = b(w) + h(w). Suppose 3*z + 3 = 4*z - 3*k, -4*k - 4 = -3*z. Let y(o) = 3*o + z*o - 6*o. Calculate n(y(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -5, -2, -3, 20\/9 in decreasing order.\nAnswer: 20\/9, 2\/15, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 15 = 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1197958.1 rounded to the nearest 1000?\nAnswer: -1198000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/2 at least -238500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**4 - v**2. Let f(x) = -5*x**4 + 3*x**2 + 17. Let s(o) = f(o) + 3*w(o). Differentiate s(q) wrt q.\nAnswer: -32*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-690)\/(-66) - (-36)\/66. Suppose -19 - 2 = -3*k. Suppose k*v + 1296 = t*v. Calculate the greatest common factor of 36 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-122 + 5 + -3). Suppose -2*d + 7*d = f. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 65 = -135. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 2) + -5 + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 5, 2, 32730, 0 in descending order.\nAnswer: 32730, 5, 2, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -427 - 3?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99702.\nAnswer: 2, 3, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 9 = -6, -2*d + 59 = -3*k. Suppose -7*f + d = -6*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1013012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.734 - 16.5. What is u rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5858062289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 16 = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 20*k - 72 = 0. Suppose 18*y = 80*y - 248. Put k, -1, 2, y in decreasing order.\nAnswer: k, y, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 65, 510, 979, 1472, 1989?\n\"Answer: 12*d**2 + 409*d - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399*n - 407*n = 80, 0*v - v = 3*v - n - 22 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5504.75426 rounded to the nearest 10?\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 21. Let n = 13 - 14. Calculate the remainder when 47 is divided by n*(j - 4) + 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/((-98)\/(-42)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -125642.5889452?\nAnswer: 125637.5889452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 181968 by -30328.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38587 by 1.\nAnswer: 38587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 738668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**0*g)*g)\/(g\/((g*g\/(g**(-2\/7)\/g))\/g)))**3)**(-34) assuming g is positive.\nAnswer: g**(-918\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2342 divided by -175560\nAnswer: -1171\/87780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 486.777 tonnes in kilograms?\nAnswer: 486777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o**2 + 3*o**2 + 5*o**2 - o**2. Let m(d) = -13*d - 5*d - 25*d. What is m(i(j))?\nAnswer: -43*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 6. Let b be 40\/o + (-6)\/9. Suppose 2*a = -q + 153, -2*a + b*q + 183 = q. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n**4*t + 3*n**4 - 47967*n**3*t + n**3 + 2*n**2*t - 90*n**2 + 781*n*t - 2*n + 3*t wrt n?\nAnswer: -96*n*t + 72*n - 287802*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-15)*-51)\/((9 - 10) + 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 7 = -q, 2*b = -7*q + 3*q - 18. Let j(o) = -o**2 - 7*o - 3. List the prime factors of j(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 49, 2 in descending order.\nAnswer: 49, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-440)\/70 - (-6 - 0).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from {j: 6, t: 8, l: 3, m: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, s: 1, d: 4, z: 2, f: 4, c: 1}. Give prob of picking 1 f, 1 z, and 2 w.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*z - 12, -3*d + 3*z = -0 + 6. Solve 3*p - 13 = -5*x + 5*p, -d*x - 4*p - 14 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/40*(-3)\/9\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1183783?\nAnswer: 71, 16673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -42\/5, 0.3, 5, -3, -35, 10.\nAnswer: -35, -42\/5, -4, -3, 0.3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-4 + -1 + -71). Find the second derivative of -7*w - 12*w - w - 8*w - a*w**5 wrt w.\nAnswer: -1520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454899994?\nAnswer: 2, 1753, 129749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 37256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4726775875 to the power of 1\/3, to the nearest integer?\nAnswer: 1678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 24676.017 months?\nAnswer: 2.05633475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 - 96 - (6 - (-1 - -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4599125, 4599137, 4599149, 4599161, 4599173?\n\"Answer: 12*q + 4599113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -189 - -184. Let m(o) = -2*o**3 + 2*o**2 + 2*o - 2. Let s(d) = -4*d**3 + 5*d**2 + 5*d - 5. Let g be 1 - (-1)\/(-2)*-2. What is g*s(u) + t*m(u)?\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -120? (a) -0.4 (b) -3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -136 - 9\/6*4\/6. Let f = r + 204. Let p = 70 - f. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16519?\nAnswer: 16519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3 = -0. Suppose 0 = -5*c + 10*c + 75. Let f be (-12)\/c + (-2 - -3). Which is greater: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -38 and -1919.4.\nAnswer: -1957.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 591181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-2)\/72*-4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8318533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*n + 54 = -0*h, -5*h + n = -74. What is the highest common divisor of h and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 6*y. Let z = -7 - -24. Let l = 9 - z. Is 16 a factor of r(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6669 is divided by 630?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -f - 20, 7 = -2*i - 4*f + 17. Put 0, -1, i, 3 in descending order.\nAnswer: 3, 0, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**5 - 3505*q**4 - 75925*q**3 + 82925*q**2 + 75920*q - 79420 = 0?\nAnswer: -22, -1, 1, 722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 151598\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*d*h**3*k - 15*d*h**3 - 69*d*h**2*k - 3*d*h**2 - 3*d*h*k - 2*h**3*k - 12*h**3 + 6*h**2 wrt h.\nAnswer: -132*d*k - 90*d - 12*k - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778476 is divided by 2703?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3167 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27\/((-21)\/6 + 5). Let y = r + -11. Let c(u) = -13*u + 91. Let i be c(y). Solve 2*b + 0*b - 4 = i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*a + 15 = -9*a, 0 = -5*g - 4*a - 12. Suppose -4*n + 0*n + 12 = g, 5*q + n - 13 = 0. Differentiate 3 + 5*l**q + 13*l**2 - 66*l + 66*l wrt l.\nAnswer: 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225467.\nAnswer: 11, 103, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -448594\/4393 + 2343\/23. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**3 - 5*c**2\/2 + 5*c - 1. Let i(s) = s**3 - 5*s**2 + 5*s + 1. Let l be i(4). Is d(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 2*h - 2. Let p(b) = -b + 1. Let t(k) = a(k) - 2*p(k). Suppose -12*v = -18*v + 24. Give t(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -265*y**3 - 2694*y**2 - 3*y + 6. Let x(o) = -265*o**3 - 2694*o**2 - 2*o + 4. Let s(z) = -4*n(z) + 6*x(z). What is the third derivative of s(b) wrt b?\nAnswer: -3180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-4)*12\/8. Sort 4, y, -107 in increasing order.\nAnswer: -107, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 1612496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -34241\nAnswer: -8\/34241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*f**6 + 12*f**5 - 56*f**2 + f wrt f.\nAnswer: -1560*f**3 + 720*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1060 + -1*(3 + (0 - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + 11 - 21 - 40.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/5 and 15\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 432 + -455.1. Let u = -20.1 - s. What is the closest to -0.8 in 2, 5, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 214494*r**4*t + 3*r**3*t - 23*r**2 - 4353*r*t wrt r?\nAnswer: 5147856*r*t + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 113 - -99. Let i(n) = -78*n - 6. Let c be i(-3). Suppose 2*p = 5*w - 125 - c, 3*w - p = x. List the prime factors of w.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 2:45 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-96)*69*7\/(42\/(-4))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3900\/819)\/(-5)*6\/10\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*k + 10*k + 25*k + g - 17, 37 = k + g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -201, -3, -5, 13, 0 in descending order.\nAnswer: 13, 0, -3, -5, -12, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 - 1. Let t = 340 - 340. Which is the closest to g? (a) -4 (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-25) - (-8)\/5\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 103 - 75?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2698 - 1164. What are the prime factors of k?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v - 2. Let r(u) = -21*u**2. What is b(r(p))?\nAnswer: -168*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -33524 - -499?\nAnswer: -33047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**4 - 156*n**3 - 13886*n**2 = 0.\nAnswer: -53, 0, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 57\/5 + 15\/25. Suppose k + 0*k - 2*q = 16, -3*k - 3*q = -l. Let r(i) = i**3 - 5*i**2 + 5*i + 1. Let x be r(4). Solve -x = -k*v + 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2480601005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Convert 4557a (base 14) to base 12.\nAnswer: 815b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 145\/(25 + 4) + (-96)\/(-31)?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + b**2 - b + 1. Let y(t) = -2*t - 2*t**2 + 6*t**2 + 2 - 2*t**2 + t**2 + 5*t**3. Calculate -3*j(u) + y(u).\nAnswer: 2*u**3 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(1\/1)\/((-8)\/4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2908102699?\nAnswer: 137, 1399, 15173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -192108709 + -5?\nAnswer: -192108714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/174 and 127\/24.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 174, 174, 176, 180, 186, 194, 204?\n\"Answer: u**2 - 3*u + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 20239*j**2 - 5929*j - 252. Let n(t) = 155166*t**2 - 45456*t - 1944. Let f(h) = 7*n(h) - 54*s(h). What is the second derivative of f(r) wrt r?\nAnswer: -13488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 416564955 to the nearest integer?\nAnswer: 20410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1071 + -1730. Is -660 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 24118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -270, -536, -802, -1068, -1334?\n\"Answer: -266*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33 less than -297?\nAnswer: -297.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.009 + 2.741. Let t = s + 0.25. Which is the nearest to -2\/3? (a) t (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -7*d**6\/720 + d**4\/6 + 2*d. Let v(s) be the third derivative of q(s). Let n(r) = -2*r**2. Determine n(v(h)).\nAnswer: -98*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.7 + -0.7. Let c = j - 3.00001. Let g = c + 0. Round g to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.540681098 rounded to four decimal places?\nAnswer: 0.5407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46255*y + 110 = -46233*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 15*n + 58. Let k be i(-9). Let q(z) be the second derivative of -z + 0 + 0*z**3 - 1\/18*z**k + 1\/3*z**2. Factor q(w).\nAnswer: -2*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3087364 * -16\nAnswer: -49397824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 1, -3, -49, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/7*(-5)\/((-170)\/(-14)). What is the second biggest value in -2, 1\/7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**3 + 4*v**3 + 573*v - 4*v**2 + 4 - 571*v. Suppose -3*x - 3*b + 0*b = -9, -5*b = 0. What is r(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2)\/(6\/(-72)). Suppose -2*g = -4 - u. Suppose 5*d + g*s - 60 - 30 = 0, 0 = -2*d + 3*s + 46. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.29 + -0.5\nAnswer: 12.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1110, 9073, 30794, 73185, 143158, 247625?\nAnswer: 393498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1304 is divided by 87?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 344, -0.3, 0, 3\/4 in increasing order.\nAnswer: -0.3, 0, 3\/4, 4, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -451.\nAnswer: -2\/451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, t: 1, f: 4, l: 1, b: 4, a: 1}. What is prob of picking 1 a, 1 l, and 1 t?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 354.\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-82)\/984 - 61\/(-12). Solve -l*d + 4*u = 28, -d - 8 = 2*d + 2*u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 11*x**2 - x - 229. Is g(-19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 5*o - 0*l - 1, -4*l = o + 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002375840065 to 7 dps.\nAnswer: -0.0000238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from {a: 2, n: 6, m: 2, j: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43395\/(-17358))\/(2\/(-12)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + n**2 + 2397*n**3 - 2392*n**3 + 2 - 19*n - 4 in the form r*n + b*n**3 + z + x*n**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -55 - -a379?\nAnswer: a324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101238 divided by -16873.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011011100100000100111 + 10?\nAnswer: 10011011100100000101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -8798.478 to the nearest one hundred.\nAnswer: -8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x - 460 = 0. What is the greatest common divisor of x and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -0.8?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*d - 69 = 96 + 6. What is the third smallest value in -5, -4, 283, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujeexxjjjuez. What is prob of picking 3 e?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21758 + 261241\/12. Find the common denominator of 64\/33 and m.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1980 divided by -30.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7275 and 2910?\nAnswer: 14550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5 + ((-22)\/40 - -4 - -7) and 37\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 4:25 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from {e: 5, m: 1, w: 1, x: 7, z: 5, g: 1}.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 + 42. Let h = u - -34. Let l be h\/(-15) + 11\/3. Solve 0 = -4*j + s - 1, 6*s - l = -3*j + 3*s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/3 + 8\/(-12). Suppose 0 = -3*n + f*n + 7. Let u be (-12)\/56 + 2\/n. Is 0 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 226 (base 10) to base 16\nAnswer: e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 30?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36) + sqrt(324) + sqrt(36))*-4)\/(sqrt(48) + (sqrt(48) - sqrt(432))))**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 1:27 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 177216266?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 260*b. Let d(c) = 3*c. What is q(d(h))?\nAnswer: 780*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/((-15485)\/37164).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(11\/3)\/u)\/u*u**39*u*u)\/(u**40\/(u**(4\/9)*u)) assuming u is positive.\nAnswer: u**(37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 3*x, -3*x + 36 = 5*g + x. Let y be ((-51)\/(-68))\/(g - 1). Which is the closest to 0? (a) y (b) -0.4 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4) + (-345)\/(-6). Let a be (-5)\/(-9)*d - -1. Factor 0 - 218\/3*g**3 + 84*g**4 + 24*g**2 - 8\/3*g - a*g**5.\nAnswer: -2*g*(g - 1)**2*(7*g - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 4*a + 5*a)*(2 - 3 + 2) + (-a + 8088 - 8079 + 2*a)*(-1 + 2 + 0).\nAnswer: 2*a + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 2\/5, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 - 41*f**2 - 1681*f - 68921\/3.\nAnswer: -(f + 41)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggggggqggggggq. Give prob of sequence qq.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 10848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((4\/(-4))\/(-3)). What is the remainder when d*(-16 - 3 - -1) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-54)\/(-24)*(-2 - -6). Let c(f) = -32*f + 217*f**2 + 9*f + 2 + p*f + 11*f. What are the prime factors of c(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 0 - 2*f**4 + 3 + (3*f**2 - 4*f**2 + 4*f**2)*(0*f**2 + 0*f**2 - 2*f**2).\nAnswer: -8*f**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -326.45 + 323. Let s = 3.85 + j. Which is the second biggest value? (a) 2.5 (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 1 - 1)*(0 + 2 + 1) + 2*k + 3*k - 6*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z + 2*z**2 - 2*z**2 + 2*z**2 + 3*z**2 + 4*z**2 - 5*z**2 + (2*z - 4*z + 3*z)*(z + 0 + 0) as i + g*z**2 + y*z and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2392 + -2477. Which is smaller: i or -84?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 90706, 90715, 90740, 90787, 90862?\n\"Answer: q**3 + 2*q**2 - 4*q + 90707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*q + 26*q + q)*(-3 + 3 + 4)*(-4 + 2 + 0).\nAnswer: -608*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -39. Calculate the remainder when (123\/(-6))\/(i + 13\/(-6)) is divided by (0 - 1)\/(1\/(-31)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84089 - 8630 = 9*c - 3*a, 0 = 2*c + a - 16757. Is c a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94255.31 milligrams in micrograms?\nAnswer: 94255310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2319 = 4*u - 1905. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**4\/4 + 5*o**3\/3 + 3*o**2\/2 - 4*o - 28795. Suppose -3*p = -7*p - 12. Give u(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1544 + 2713 + 2189)*(-2*c**2 + 2*c**2 - 2*c**2).\nAnswer: -12892*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.29, 4, -2\/11, 2\/9?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 1628*k - 78053. Give q(48).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**2\/((l\/(l\/(l\/(l*l**(-7)))))\/l)*l**0\/l**(-6\/5) assuming l is positive.\nAnswer: l**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 252 = -5*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**5\/30 + 13*n**4\/12 - 17*n**3\/6 - 1964*n**2. Give d(13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/20 + 127\/4. Let r(d) = 3*d**3 + 4*d**2 - 6*d + 6. Let l be r(4). Let o = l + y. Round o to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-2\/9))\/j)**(7\/3))**(1\/6) assuming j is positive.\nAnswer: j**(7\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -344719*u**2 - 4. Let k(q) = -21*q. What is k(d(h))?\nAnswer: 7239099*h**2 + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*p - 5*p - 26*p + 15*p.\nAnswer: -43*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 43*a**2 + 19*a - 8. Let z(j) = -38*j**2 - 16*j + 7. Let g(m) = 6*o(m) + 7*z(m). Let c(u) = -25*u**2 + 7*u + 3. Give -4*c(d) + 14*g(d).\nAnswer: -12*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596123 is divided by 4965.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2726956 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -897777 and -27831071\/31 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7639, 7616, 7579, 7528, 7463, 7384?\n\"Answer: -7*h**2 - 2*h + 7648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c = 2*v - 178, 107 = 3*c + v. Let j be (c\/8)\/((-12)\/(-112)). What is the derivative of -j*k - 40 - 60 + 57 wrt k?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 13*h + 28. Suppose -38*f + 39*f = 14. Let b be i(f). Solve b = 3*n + 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/n**(-1\/8))\/n*n**2)**(-46) assuming n is positive.\nAnswer: n**(-759\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-16)\/(-9) + (-10)\/(-45) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*c**2 - 156*c**2 + 321*c**2.\nAnswer: 93*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1540 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 114 - -68. What is the remainder when 892 is divided by v?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 + (-440)\/(-64))*-8 + 7. Solve d = a + 4*z - 9, -15*a + 11*a - 4 = -4*z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 4*d - 2*d)*(9*d**2 + 11*d**2 - 27*d**2) - 8*d**3 + 11*d**3 - 42*d**3.\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 8 + 2. Which is the closest to -1\/3? (a) -1\/4 (b) 0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 + 50. Let h be 10\/3*(-48)\/(-4). Calculate the greatest common divisor of h and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 37 = -35. Calculate the lowest common multiple of 168 and n.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 107, 306, 603, 998?\nAnswer: 1491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9440*l**5 - 107*l**2 + 2*l + 175 wrt l.\nAnswer: -566400*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -28. Let s be (h\/2)\/(6\/(-12)). Let q = -13 - s. Solve -12 - 4 = q*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 13*g**2 + g - 10. Let a = 73 - 60. Let y be f(a). Factor 2\/5*l - 8\/5*l**y - 6\/5*l**2 + 0.\nAnswer: -2*l*(l + 1)*(4*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -7*d**5\/60 + 94*d**2 + 3. Let q(j) = 423*j. Determine q(k(n)).\nAnswer: -2961*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.98514 + 0.01486. Put r, -19\/7, -0.68 in ascending order.\nAnswer: -19\/7, -0.68, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/(-260)*648830\/(-5635).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1066 is divided by 206.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -32, -41, -48, -53?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4 + -18 + 8 + 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 - 98181*a**2 + 4819852560*a - 9639312400.\nAnswer: (a - 98180)**2*(a - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 57*i**2 + 10*i + 6. Let b(u) = -58*u**2 - 9*u - 5. Let f = 117 - 122. Let m(s) = f*b(s) - 4*z(s). What is the second derivative of m(n) wrt n?\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i. Let d(s) = 3*s**2 + 4*s - 4. Let j(y) = -y**2 - y + 1. Let z be (11 - 3)*2\/(-4). Let f(a) = z*j(a) - d(a). Calculate u(f(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1126411815.\nAnswer: 3, 5, 31, 2422391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 5. Suppose i*w - 60 = 2*w. Solve -10 - w = 5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhihhhhiihhhhhh. What is prob of picking 2 h?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxuvhvh. What is prob of picking 1 x, 1 u, and 2 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -2*g + 67 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**4 + 3*f**3 + 6*f**2. Let n(b) = -b**4 - 2*b**3 - 5*b**2. Let g(j) = -3*n(j) - 2*v(j). Find the third derivative of g(r) wrt r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*h + 28 = 8, 2*q + 3*h = 9. Let d be (0 + 0)\/(-3 + 2). Suppose d = q*l - 3 - 3. Let y(o) = -o**2 + 2*o - 2. Determine y(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -316414, -1265615, -2847622, -5062441, -7910078?\n\"Answer: -b**3 - 316397*b**2 - 3*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + (8 - 8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6864*g - 13739*g + 6868*g - 378)*(0*g + g + 0*g) to the form l*g + d*g**2 + u and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - z**2 + 7. Let p be t(0). Suppose 0*c + 42 = p*c. List the prime factors of (c\/9)\/(12\/2934).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 695\/72 + -107\/18. What is the common denominator of w and (7\/(63\/2))\/(24\/1260)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18282 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 5)*(-5)\/(75\/(-3755)). Let x = i + -396. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 101*u**2 + 614*u - 2992. Give h(-107).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -684 + 687. Suppose 9*q + 4*k - 18 = 4*q, 3*k = g*q. Factor 40*v + 125\/2*v**q + 10 + 95\/2*v**3 + 35\/2*v**4 + 5\/2*v**5.\nAnswer: 5*(v + 1)**3*(v + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 86*f + 3713. Give w(-45).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/17 + -13\/34. Let y = -0.04 + -0.02. Let b = y - -0.16. What is the nearest to t in -2, 1\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*k = -64*k + 41520. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 10:27 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 3 + 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1260 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/4)\/(-3 + 3 - -2). Solve n = -i*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18897.56 + 19377. Let y = n - 488. What is y rounded to one decimal place?\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cssf. Give prob of picking 1 f and 1 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 3238. Let f(h) = 2*h + 137. Give u(f(i)).\nAnswer: -2*i - 3375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - -1) + 42834\/(-2655).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 - 13236555852402*x**3 + 13236555852403*x**3 + 4*x**2.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -2*m - 4*v, 2*m - v = -5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (435 - 220 - 207) + (-73 + -1 - -3)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3513 - 0.04.\nAnswer: 3512.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**15*q*q**(-5)*q assuming q is positive.\nAnswer: q**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26*u**2 - 29*u**2 + 0*u**2 - 19*u**2)*(0*u - u + 2*u) to c*u + m + w*u**3 + j*u**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434 = 10*f + 324. What is the highest common divisor of 5467 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*j - 555 = 6*t, 0 = 2*t + j + 222. Let d = -109 - t. Factor -n - 2*n**4 - 1\/2 + 2*n**3 + 3\/2*n**d.\nAnswer: -(n - 1)**2*(2*n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -19. Suppose u*v - 23 = 55. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -622*q + 3799. Let g be k(6). Solve -11*j - g + 23 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/11 - 356*i\/11 - 3570.\nAnswer: 2*(i - 255)*(i + 77)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**5 - 513*t**4 + 12270*t**3 + 14508*t**2 - 370536*t + 592992 = 0 for t.\nAnswer: -6, 2, 4, 29, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3*(-7 - (2 + 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3220, -26051, -88106, -208993, -408320?\n\"Answer: -3268*f**3 - 4*f**2 + 57*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 1, -4*f + 14 = -10*v + 11*v. Suppose v*h - 1379 = 321. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 67 - (6\/(-8))\/((-6)\/32). Let m = 108 - l. What is the lowest common multiple of m and 55?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 8*m**2 - 31*m + 4. Let b(n) = 6*n**2 - 31*n + 3. Calculate -3*b(r) + 2*h(r).\nAnswer: -2*r**2 + 31*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - c**2 - 1)*(c + 0 + 0) + 1 - 1 - 4980*c**3 + 3982*c**3.\nAnswer: -999*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -76*a + 63 + 93*a - 60. Let s(u) = 6*u. What is s(o(v))?\nAnswer: 102*v + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccfsrsmf. Give prob of sequence sf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 39*h + 137. Calculate f(-49).\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13033, -27110, -41179, -55240?\nAnswer: -69293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 203\/3 + -67. Let d = 60.93 - 0.93. Let u = d - 55. Which is the third smallest value? (a) u (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-29)\/(-14) - 2)*(-21 + 23). Which is the nearest to 1? (a) -2 (b) s (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-12)*20*(2 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 - 1217*l**3 + 2*l - l**2 - 4*l**2 + 3*l**2 in the form b*l**2 + g*l + v*l**3 + t and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*c + 61, 0 = -5*u - 5*c - 232 - 13. Let v be (-1)\/(-3) - 238\/u. Solve 0 = -f + 6*f - v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 55372?\nAnswer: -55374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**3 - s - 7*s**2 + 2*s**3 + 8*s**2. Let j(w) = -8*w**3 + 10*w**2 - 10*w. What is 2*j(l) - 18*r(l)?\nAnswer: 2*l**3 + 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166, 232, 420, 790, 1402?\nAnswer: 2316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.669 less than 0.3?\nAnswer: -1.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001895589 to six decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 0*o + i + 1, 5*o - 5 = 5*i. Let d = 1 + -2. Is d > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 6:51 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2874773367.\nAnswer: 3, 6263, 51001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49383940 a multiple of 502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 3:15 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 35060?\nAnswer: -35056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21544 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.2 (c) 0.4 (d) -3 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5*i - 102072, -2*k + 51050 = -41*i + 42*i. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 84, 95, 70, -3, -136, -341, -630?\nAnswer: -1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5 - 11*b**4 + 201*b**3 + 743*b**2 - 3440*b + 2508 = 0. What is b?\nAnswer: -19, -6, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -18 + -2 + 1 + -8 - -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14064 + 14116 = 5*w. Suppose 49*y - w = 8427. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h**2 + 3*h - 7. Let k(d) = 4*d**2 - 2*d + 9. What is -3*k(x) - 4*z(x)?\nAnswer: 4*x**2 - 6*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*l + 64 + 9 - l - 154 - 110 as i*l + x and give x.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 11 + 3006480*u - 3007037*u.\nAnswer: -557*u - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -19344534\/97 at most -199429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 4*o - 7 = -11*l, o = -2*l + 5. Sort l, 5, -10, 2.\nAnswer: -10, l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 22. Let w = 15.79 + p. Let d = 0.223 + w. What is d rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79.79299 - 0.76401. Let r = 0.013 - t. Let f = r - 81. What is f rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*w - 4*v - 24 = 0, 0 = w + 2*v. Suppose 0 = -w*m + 7 + 9. Let u = 7 - m. Which is the third smallest value? (a) 4\/3 (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(130)*1 - -2*sqrt(130)*-5)\/(sqrt(10) + sqrt(1440) + -1*sqrt(1440) + (1*sqrt(70) - sqrt(70))\/sqrt(7)))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.28522l in millilitres?\nAnswer: 82285.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 10*t**2 - 3*t - 30. Let q be v(8). Suppose -3*p + 5*p = q. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-3)\/(-18)*-9. Suppose u = -2*u + l. Let m(c) = -5*c + u - c**2 + 0 - 3. Determine m(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*u - 36, 5*s - 25*u + 22*u - 8 = 0. Let l = 2 - -1. Suppose -l = -g + 1. Solve -a = 4*w + s, g*a + 5 = -11 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from hfefhhhfheffefff.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 13*n**3 - 17*n**2 - 8*n + 3. Let m(o) = -11*o**3 + 16*o**2 + 7*o - 2. Let g(t) = 6*d(t) + 7*m(t). Calculate g(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*sqrt(40)\/sqrt(2))\/(1*sqrt(144)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + (5*sqrt(1053)*1 - (sqrt(1053) - (1 + sqrt(1053))*-3) - (sqrt(1053)*1 + -2 - (1 + sqrt(1053))*-4))))**2.\nAnswer: 23328*sqrt(13) + 609444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 440.17 + -436. Let c = u + -0.17. Let d = 1 - 0.9. Sort -1\/4, d, c in descending order.\nAnswer: c, d, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81398 is divided by 33.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 108 - 65 + 36 to the form r + s*h and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 j, and 1 y when three letters picked without replacement from zylzjfzzj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1186 is divided by 49.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -15.1. What is the nearest to -0.1 in -0.09, 4, q?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**4\/8 + 321*t**2. Let s(m) = -7*m + 3. Let o(v) = -35*v + 14. Let c(x) = 3*o(x) - 14*s(x). Determine c(y(r)).\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 223 - 219. Suppose -2*q + 5*q - 12 = 3*z, o*z = -q - 16. Solve 3*t - 2*t = q for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 9*o**2 + 9*o + 6. Let x be -2*(-2 - (5 + -2)). Let u be q(x). Let s(n) be the third derivative of -n**4\/24 + 2*n**2 - 5*n. What is s(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-18)*u)**(33\/5) assuming u is positive.\nAnswer: u**(-561\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12.7625, 0.1, 1 in ascending order.\nAnswer: -12.7625, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 77*s - 1817. What is the remainder when 132 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -529*d**3*z - d**3 + 467*d**2 wrt z?\nAnswer: -529*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49485127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*n**5 - 33*n**4 + 7*n**2 + 20097*n - 35 wrt n?\nAnswer: -300*n**3 - 396*n**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 733654869 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*2156\/(-1463) - 77.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (146 + 0*i - 63 - 3*i)*(i + 2*i - 2*i).\nAnswer: -3*i**2 + 83*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/11 + 652310*j\/11.\nAnswer: -2*j*(j - 326155)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8)*(-8)\/(-14))\/(8*(-29)\/1856).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -4.1, 26\/5, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12337762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + w**2 + w - 17. Suppose 7*j = 2*j. What is a(j)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*q - 260*b**3 - 2*b**2 - 2*b*q + 130*b wrt b.\nAnswer: -6*q - 1560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Suppose i = -2*j + 15 - 57. Let r = -11 - j. Calculate the least common multiple of 16 and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -435, 1, -57 in increasing order.\nAnswer: -435, -57, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*d**2 + 8\/3*d**4 - 2\/9*d**5 + 0 - 18*d - 12*d**3.\nAnswer: -2*d*(d - 3)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i = -7*i + 143. Let m(l) = -2*l**3 - 16*l**2 + 20*l + 24. Is m(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 0*d + 1\/3*d**3 - d**4 + 0*d**2 + 2. Find the third derivative of r(a) wrt a.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6536903731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.67 + 1.9. Let n = f + -0.23000039. What is n rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4202 divide 6301159524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/18 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**3 - 54*l**2 + 1258*l. Determine y(-31).\nAnswer: -1519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/20808 and -115\/62424?\nAnswer: 62424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 2*y**2 + 3*y + 1. Let m be u(-2). Let c be (-1 + 7)\/(m\/30). Let b = c + 69. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-4\/33)\/a)\/a)\/(a**(-2\/67)*a))\/(a**(1\/5)\/(a\/(a\/(a*a*a*(a**(-2\/75)*a)\/a*a)))) assuming a is positive.\nAnswer: a**(37696\/55275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f + 27*f - 3 - 7*f + 1 to the form c*f + j and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) + sqrt(9) + sqrt(81)*2)\/(sqrt(432)*1 + sqrt(432)))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-51)\/34)\/(2\/(-4)). Suppose 1930 = -h*j - 3230. Let g = 4253 + j. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 87, 130?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91 + 93. What is the nearest to -2 in -2\/7, u, -3\/13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202186480201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20215524 (base 6) in base 16?\nAnswer: -8d1cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 11*f - 6. Calculate the remainder when k(-7) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -70851 (b) -2\/3 (c) -3 (d) 0 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -11*w - 9. Let b be z(-1). Suppose -4*i - 5*t = -20613, -b*i - 20*t + 10319 = -15*t. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.268 plus -5982?\nAnswer: -5982.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from fccccqfefcccfcbec.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/4*8133*(-8)\/(-12).\nAnswer: 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*(sqrt(832) - (sqrt(832) + 0)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8128 + 3361. List the prime factors of x.\nAnswer: 11489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a second?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 342035407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -623 + 2919 = 164*g. Calculate the highest common factor of 3073 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-62152*v + 8 + 31062*v + 31056*v)*(-2 - 2*v**3 + 2) to the form x + b*v + u*v**2 + a*v**4 + f*v**3 and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 131*v**2 + 23 - 10*v + 10*v - 55*v**2 to the form n*v**2 + o*v + l and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 6) + 13 + (0 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.09, -56, 4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o**2 + 3*o + 16. Let h(j) = 7*j**2 + 2*j + 16. Let x(a) = 5*h(a) - 4*w(a). Differentiate x(l) with respect to l.\nAnswer: 22*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 4*v + 0 = 10, 10 = 2*v for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/(1\/(-4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-2)*((-45632)\/(-1860))\/46\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -28 + -20 + 18 - (-10 - (6 - 12))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 0 - 24*i**4 + 17*i**4 + (40 + 5*i - 40)*(4*i**3 - 3*i**3 + i**3) + i**4 + 3*i**4 - 5*i**4.\nAnswer: 2*i**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 2\/13, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 314604263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4113553 (base 7) to base 6.\nAnswer: -14305404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1963 + -1382. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -145.\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-46)\/6)\/(3\/(-9)). Find the common denominator of (-1)\/(-2) - a\/6 and (-4)\/2*38\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-3))\/u*u)**(2\/3)*(u**(-4\/11))**40 assuming u is positive.\nAnswer: u**(-524\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*c**2 - 6 + 13 - 8 + c + 36*c**2 - 16*c**2 to j*c + i + b*c**2 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/30)\/(10416\/216 + -48)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-2 - (6\/(-4) - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*x**3 + 154*x**2 - 33*x**3 + 250*x**2 + 30*x**3 as t + w*x + s*x**3 + b*x**2 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 12 = -4*z, 5*p = 2*z + 77 - 71 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**7\/672 + b**6\/45 + 37*b**5\/480 + 5*b**4\/48 + 80*b**3\/3 - 54. Let w(z) be the third derivative of i(z). Factor w(c).\nAnswer: (c + 1)*(c + 5)*(5*c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -15*t**5\/4 - 2214*t**4 - 125253*t**3\/2 + 89993550*t**2 - 215892423*t\/4 = 0.\nAnswer: -379, 0, 3\/5, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.3816822.\nAnswer: 0.3816822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*d - 3*v, -4*v + 0*v = 16. Suppose 5*n - 2*l - d = 0, n + 4*l - 4 - 5 = 0. What is the lowest common multiple of n and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (590*y**2 + 7679 - 7679)*(0 + 0 - 2)*(2 + 3*y - 2).\nAnswer: -3540*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/51086 and -73\/1602?\nAnswer: 459774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of y**2 + 20671*y - 331119 wrt y?\nAnswer: 2*y + 20671","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-3 + (-3 - (-1 + 2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(468))*-3 + sqrt(468) + sqrt(468) + sqrt(468) + (1*(sqrt(468) - (sqrt(468) - (sqrt(468) - (sqrt(468) + 2)))) - sqrt(468)))**2*-6.\nAnswer: -2958 - 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7*16*(-273)\/(-98). Let q = 307 + m. What are the prime factors of q?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.48, 2, 1, -3, -25.1, 1\/8 in descending order.\nAnswer: 2, 1, 1\/8, -0.48, -3, -25.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 less than 6127326?\nAnswer: 6127332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.006 - -40.994. Let t = 8622802.00011 - 8622761. Let k = c - t. Round k to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(637))*-4 - (0 + 1*sqrt(637) + 5).\nAnswer: 15 + 133*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 42 (b) -12.3 (c) -5 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3750*k*t**3*y**3 + k*t*y - 3*t**3*y**3 + 2*t**3*y + t**2 + 56*t*y**3 wrt t.\nAnswer: -22500*k*y**3 - 18*y**3 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 4)*(47*h - h - 10*h)*(8 - 4*h - 8) to x*h**2 + o*h + j and give x.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -258, -565, -1000, -1569?\nAnswer: -2278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 5*z**2 - 7*z - 4. Let s be u(-4). Suppose -4*m = -5*t + 125 + s, 2*m = 5*t - 139. List the prime factors of t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*m + 5*j - 63, 3*m + 3*j - 225 = 0. Suppose 312 = 5*z - m. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13897 - 9743. What is the remainder when f is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.15 - -0.35. Let x = 4 + -3.5. What is the nearest to n in -3, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 17*y**2 - 28*y + 53. Let m be k(14). Suppose -t + 621 = m. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500177?\nAnswer: 500177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19576629*u**2 - 83*u - 107564 wrt u.\nAnswer: -39153258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i - 18*i + 54*i)*(0*i + 2*i - i + (-2 - 1 + 1)*(-i - 3 + 3)).\nAnswer: 126*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millisecond in microseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1408 divided by -4\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.85002 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/9, -5\/1023, -1\/4, -1, 5409?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 8. Let p be k(8). Let f be (-13 - (-1 - 0))\/(-1). Solve -5*j + 18 = b, 0*j - 2*j + 2*b + f = p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3 = 0, 3*f - 4*f - 4*n + 7 = 0. Let s(h) = -h + 7. Let c be s(8). What is the remainder when (-116)\/(-4) - c*2 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5640000 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*s**2 + 3 - 3 + (-17*s + 1 + 0*s - 16*s)*(-2*s + 4*s - s).\nAnswer: -19*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 - s**4 + 19*s + 19 - s**3 - 9 - 11 + 2*s**2 to the form i + t*s**4 + z*s + q*s**2 + h*s**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 10. Suppose -x*q + 14400000 = -9*q. Round q to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 6 + 6. Suppose -3*b + w*a = 337, 4*b + 343 = -a - 81. Let g = -1197 - b. Round g to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.2. Let u = 0 + 1. Which is the third biggest value? (a) u (b) q (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -8 (b) -0.2 (c) -1\/2 (d) 8 (e) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*h**3 - 138*h**3 + 69*h**3 + 6*h**2 - 2 as v*h**2 + t*h**3 + x*h + l and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324) + (5*(-1*sqrt(324) - sqrt(324)) - sqrt(324)))\/(sqrt(48)\/sqrt(4)*-6 - sqrt(12)).\nAnswer: 30*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = p - 1. Let r(b) = 3*b - 3. Let u(m) = -4*m + 3. Let n(t) = -3*r(t) - 2*u(t). Let i(q) = -1. Let h(s) = p*i(s) + n(s). Give h(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1255487.2 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 4*v - 1. Let x = -10 + 7. What is q(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*x**4 - 608*x**3 + 228*x**2 + 5292*x - 7776.\nAnswer: 4*(x - 8)*(x + 3)*(4*x - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5661 is divided by 70.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 51, 25, -71, -261?\nAnswer: -569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1638 and -41\/15.\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, p: 2, l: 3, g: 6, y: 1}. Give prob of picking 1 y and 1 p.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwbyuyybuywwuwwuwu. What is prob of sequence byb?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 4:28 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2*k - 1)*(0 + 0 + 2) + 3*k + 2*k - 7*k)*(25*k - 9*k + k).\nAnswer: 34*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.731789um in millimeters?\nAnswer: 0.001731789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3902*a + 1051. Is m(-45) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -51*u - 15. What is the tens digit of d(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, 1\/4, -2\/15, -0.1, 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -249001*j**4\/4 - 998*j**3\/3 - 2*j**2\/3 - 2173*j. Let p(x) = 0. What is x?\nAnswer: -2\/1497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -27. Let u be 5\/2*56\/1. What is the highest common divisor of u and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u**3\/3 - 7*u**2\/2 - 20*u - 13. Let o be j(9). Sort -5, o, 5\/3, 3 in decreasing order.\nAnswer: 3, 5\/3, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 702*a**2 - 417*a**2 - 278*a**2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13695)\/830*12\/(-11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 805 divided by -115?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**2 - 12. Let w = 9 - 3. Determine n(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 j when three letters picked without replacement from {v: 1, g: 2, m: 1, o: 5, j: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 0.204944?\nAnswer: 0.204944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 6 + 4, -y + 5 = -2*n. Suppose -3*w - 12 = 5*r + w, n = r - 3*w + 10. Let f(h) = -h**2 - 5*h + 1. Calculate f(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6609 + 13917. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v + 15*v = 9*v + 232 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -142197\/16 + 8882. Let p = -2339\/12 + 221\/4. Let x = p - -1819\/12. Find the common denominator of w and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7362.5666 from -5.873.\nAnswer: -7368.4396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**2 - 54*t + 253. What is the units digit of x(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12\/1325 - -1361\/3975. Which is greater: -1474 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 2*v + 2805. Let d(k) = -3*k**2 - 6*k - 8414. Let a(o) = 2*d(o) + 7*r(o). Is a(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 85*c + 46 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1852415 is divided by 768?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -1. Let m = 466 - 465.5. Let j = 147 - 146.4. Which is the biggest value? (a) z (b) j (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 78*l**3 - l**2 - 4*l - 47. Let g(o) = -78*o**3 + o**2 + 3*o + 46. Let k(d) = -3*a(d) - 4*g(d). Find the first derivative of k(v) wrt v.\nAnswer: 234*v**2 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537803215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8\/11, 0.03, 2.2?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9*n**2 - 12699*n + 50810. Determine g(4).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 516601208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 1:37 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7404523 nanometers to micrometers.\nAnswer: 0.0007404523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9\/23, -2, 0.2, 2\/9, -0.5 in increasing order.\nAnswer: -5, -2, -0.5, -9\/23, 0.2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, 1, -5, -69, -8 in descending order.\nAnswer: 1, 2\/23, -5, -8, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/3)\/b)**(-34)\/((b**(1\/7)*b)\/(b*b**1*b)) assuming b is positive.\nAnswer: b**(515\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -10*i**3 + 12*i**2 + 12*i - 8. Let p be t(-7). Suppose p = -31*l + 44*l. Does 22 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20819*m + 25551*m - 151424 = 0 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(9)\/sqrt(3) - (sqrt(75) + -1).\nAnswer: -4*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c - 12*c**3 + 39*c - c**3.\nAnswer: -13*c**3 + 55*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 445262 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/20)\/((-325)\/(-260)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 12 = -2*w, -p + 4*w = -2*p - 1. Let x(o) = o**3 + 5*o**2 - 6*o - 7. Let h be x(p). Let r = h + -13. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence parr when four letters picked without replacement from {a: 1, p: 3, r: 6, c: 2}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18 (b) -2\/15 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*x + 5, -4*d = -9*d - 3*x + 10. Suppose 4*k + d = 41. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/23)*v**9*v**(-10)\/(v*v**5))**(-24) assuming v is positive.\nAnswer: v**(3912\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 4)\/(23\/(-46)). Solve 0 = 4*m + g + 12, -t*m = g - 43 + 47 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1411)\/153 + (-2)\/(-9) + 109. Calculate the greatest common divisor of 2050 and l.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -4, 4, 14\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 4*g - 4*g)*(0 - 2 + 1)*(11*g + 26*g + 9*g).\nAnswer: 92*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42404175?\nAnswer: 3, 5, 11, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 117789609 a multiple of 1496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-8)*1 + (-7 - (-6004)\/16). Solve n = -3*u + 377 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -104a4?\nAnswer: 104a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + t - 3. Let y be 1\/((-18)\/10 + 2). Suppose 144 = y*c + 44. Suppose 0 = -3*w - 4*s + c, 3*s + 9 = 24. Determine h(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*a**2 + 9*a**4 + 63*a**2 + (-26*a + 17*a**2 + 26*a)*(4*a**2 - 3*a**2 - 3*a**2) in the form b*a**2 + f*a**3 + x*a**4 + d*a + c and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*z + 2*p, 4*z + 8*p - 11*p = 18. What is the second smallest value in -1, z, 17, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 11*v + 15. Let g be c(12). Suppose 13*a - 10*a = g. Suppose 2*y - 11 = -a. Solve 0 = -3*o - y + 14 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(-2)))**35)**(-42)\/(((l**(2\/11)*l)\/(l\/(l*l**(-2))))\/(l**(-2\/5)\/(l\/(l\/(l\/((l*l**(-2\/5)*l)\/l)))))) assuming l is positive.\nAnswer: l**(161701\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103421 + -112031?\nAnswer: -3110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -241, -242, -253, -274, -305, -346?\n\"Answer: -5*n**2 + 14*n - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -57064.1 - 0.07\nAnswer: -57064.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (0 - (-5 - -1))) + (2 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*x - 4215 = 1668*x - 16255 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 8:18 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-55)\/5)\/(-11) - 2)\/(-1). Suppose 5 = 3*p - l, p - l + 4*l = 15. Solve 8 = -2*h + p*z, z = -k + 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2\/21, -0.5, 67\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zaaazaoaozzaaz. What is prob of picking 1 a and 1 z?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/8 + 18\/18.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 12 = -i. Suppose -h + 4*h - i = 4*r, -26 = -3*r - 5*h. Solve b - 5 + 14 = -2*u, 5*b + 21 = r*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/11 in -4, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 4:58 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -115685 or -115704?\nAnswer: -115685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94 and 4418?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i = 39 - 89 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 21.9. Which is the biggest value? (a) -1\/7 (b) -1\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8573796*c*v + 56*c - 16850 wrt v?\nAnswer: -8573796*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 3*x = 0, -5*x = -4*t + 88. Let b(q) = q + 4. Calculate the smallest common multiple of b(6) and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -23*i - 1. Let g be ((-16)\/24)\/((-2)\/(-3)). What is the units digit of k(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3664 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34824895.\nAnswer: 5, 7, 994997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(132)\/sqrt(4))\/(sqrt(55)\/sqrt(80)).\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in -0.14, 0.5, 3\/2, 2\/7?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-250)\/(-5)*(((-330)\/(-24))\/(-11))\/((-340)\/(-136)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/4))**(-24)\/((o\/o**2)\/o*(o\/(o*o\/o**(-2\/9)))\/o) assuming o is positive.\nAnswer: o**(92\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2401 = -9*b + l, 5*b - 2397 = -3*l. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 6 = -4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -8. Let l(d) = -2*d**2 - 4*d - 5. Let x(t) = 3*t**2 + 6*t + 8. Let b(v) = y*l(v) - 5*x(v). Find the second derivative of b(z) wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.8996 + 0.1004. What is the nearest to m in 3\/5, 1.1, -4, 0.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 8 + 27. Find the third derivative of 5*f**6 - 4*f**6 + 11 - 11 - a*f**2 wrt f.\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -1 + 357 + -407?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 317.4951 rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 674a7a2 + 0?\nAnswer: 674a7a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**4 + 1233*s**3 - 168921*s**2 + 7714059*s = 0.\nAnswer: 0, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 8*m**2 + 6*m - 9. Calculate the remainder when 107 is divided by c(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + o**3 + 5)*(-17 + 12 - 19) + 0*o**3 - 2*o**3 + 3*o**3.\nAnswer: -23*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 25 - 25 - z**2. Let k(w) be the third derivative of w**8\/2520 - w**5\/10 - 5*w**2. Let a(s) be the third derivative of k(s). What is a(o(b))?\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 5*k + 5. Let g be (-296)\/(-10) - 4\/(-10). Suppose l = -n + 6, 4*n - 5*l = 6*n - 15. Suppose -n*b = -s + 30, -4*s - s = 5*b + g. Give j(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 19*u + 5. Let m be j(-1). Let r = -9 - m. Solve -2*g + 3 = -3*v - 2, 3*v - 4*g = r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152)\/836 + (-48)\/((-52)\/(-24) - 4).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 3*l**2 - 3*l - 2. Let t(j) = j**3 - 4*j**2 - 4*j - 3. Suppose d + 25 - 22 = 0. Give d*t(f) + 4*s(f).\nAnswer: f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 + -73639411\nAnswer: -73639411.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*n**3 + 0*n**3 - 6*n**3)*(2 + 1 + 4)*(-n - 4*n - n) to k*n**3 + t + l*n**4 + y*n**2 + x*n and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s + 20. Let p(c) = -c + 14. Let d(z) = -5*b(z) + 7*p(z). Suppose -5*g + 22 + 6 = 2*w, 0 = 2*w - 2*g. Does 3 divide d(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 293\/11 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23089, 184762, 623589, 1478146, 2887009, 4988754, 7921957?\n\"Answer: 23096*r**3 + r**2 - 2*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 25 - (-4 - (-1 - 2))*-3. Suppose 4*r - 5*g + 4*g - 16 = 0, -5*r + 20 = 5*g. Let p be (12\/15)\/(r\/110). Calculate the highest common factor of p and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 1. Let u be x(5). Suppose -n + u = z, -2*n + 10 + 4 = 4*z. Solve -z*w = 4*g - 5, -2*g - g + 6 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*j - 36*j - 12440 = 41*j. List the prime factors of j.\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2*(-5)\/(-4))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 1:50 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60 + -44650?\nAnswer: -45040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l**(-2\/5)*l)*l)\/l*l**(7\/4) assuming l is positive.\nAnswer: l**(43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3768402 less than -1.130906?\nAnswer: -3768403.130906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -25 + 28 + 6 + -3 + 4. Let n(w) = -2*w**2 + 11*w + 33. Calculate n(f).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-6))\/(3\/6)*(-639)\/(-213).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100210201202111 - 0?\nAnswer: -100210201202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2204420 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l + 85*l**3 - 20*l**4 - 2 + 14*l**4 - 4*l**2 - 82*l**3 + 8*l**4 + 0*l in the form u + n*l + q*l**2 + w*l**4 + c*l**3 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 267829823719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/25146 and -97\/31980?\nAnswer: 134028180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*o - 0*o. Suppose 0 = -3*n + n + 10. What is the smallest common multiple of 48\/20 - (-3)\/n and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13241 + -13233. What is the second smallest value in 2, y, -0.1, 2\/7, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-2) - 0) + -1. Suppose 0 = -4*x + 4*x - 4*x. Suppose x = -4*s + 25*s - 84. Solve -2*c - g*k = k + 2, -s*c = -3*k + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2264.21743 to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + -15 - (-434)\/42. Let p = -0.02 + 8.42. Let n = 1.6 + p. Which is bigger: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -236613 by -39.\nAnswer: 6067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 220, -4 in descending order.\nAnswer: 220, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 7*y + 5. Let t be j(-7). Suppose 2*s = 3*a, -t*a - 3*s + 12 + 7 = 0. Let i = 344789 - 344786. Solve i = -w - a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/12 + 36\/16. Suppose -z = -12 + v. Suppose -3*y = -z, 0 = 5*c + y - 748 + 30. What are the prime factors of c?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -16*v - 5. Let c(d) = 3*d - 1. Calculate -5*c(w) - j(w).\nAnswer: w + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, 2\/29, -2\/9, -10, 2\/13, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 13979.297018 to the nearest 100.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 3, y: 2, z: 1, w: 6}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*l - 500. Suppose -7*x = -2*x - l. What is the units digit of 6\/15 - (-152)\/x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.345 - 0.045. What is the third smallest value in -3.8, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 31*z**2 - 8*z - 7. Let w be n(-3). Suppose 13*y = -24*y + w. Solve -4 = -y*s + 20 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3491096 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25\/1047 or -1\/4403?\nAnswer: 25\/1047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 452\/21 greater than 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*v**4 + 1716*v**2 - 153 - 1721*v**2 - 4*v**4 wrt v?\nAnswer: -72*v**3 - 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 134983, 135325, 135667, 136009, 136351, 136693?\n\"Answer: 342*w + 134641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 2*i. Solve 3*u - 1 = -13, 2*z + u = i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 0*a**2 + 0*a**3 + a + 1\/4*a**5 + 0 - 2\/3*a**4. Find the third derivative of p(n) wrt n.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**3\/6 + 7*r**2\/2 + 3*r. Let y be x(-4). Solve 0 = -3*u - j - y*j, 2*j = -3*u + 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 9*w - 24. Determine s(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 464 times -43.26?\nAnswer: -20072.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0711 + -55070630.4367?\nAnswer: -55070630.5078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 15*o = -3*f + 60, 96 = 4*o - 4*f. Solve 3*j + o = -4*i, 4*j - 70 + 90 = -3*i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 3*c = -1, -1 = -0*v - v - 4*c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 6, z: 2}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 + 12 + 4*l**3 - 13 - l in the form z*l**2 + s*l**3 + b + c*l and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 j, and 1 o when three letters picked without replacement from {j: 1, i: 1, a: 1, t: 1, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + -1*((sqrt(832)*1*-5 - (sqrt(832)*-1 + -5 - sqrt(832))) + -1))**2.\nAnswer: -45312 + 2304*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -13041?\nAnswer: -13043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16869742763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d6e8c (base 16) to base 10.\nAnswer: -4025996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74936.81 weeks to seconds.\nAnswer: 45321782688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 112289 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 836641639 to the nearest integer?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -67. Suppose -4*i + 4*u - 12 = 0, -5*i = -0*u + 5*u - d. Let n(g) = -i*g**2 - 4*g + 4*g**2 + 3 - g**2. Calculate n(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -168386, 4, -6 in increasing order.\nAnswer: -168386, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22558 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/84*3*4. Suppose -5*l + q = -7. Suppose 0 = -l*u + k, -3*u + 8*k - 3*k = 7. Are -1\/12 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.981033 kilograms to tonnes.\nAnswer: 0.004981033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 12:54 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3 + 233195*f**2 - 13755138*f + 26577504 = 0.\nAnswer: 2, 57, 233136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/120 and -151\/6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1904 + -1901. Solve -5*f - 3*m - 20 = m, -d*f = -m - 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 375239360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**6\/120 - 2*m**5\/5 + 9*m**4\/2 - 56*m**3\/3 - m**2 - 315*m. Let h(q) = 0. What is q?\nAnswer: -28, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 6:49 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**6\/90 + m**5\/15 - m**4\/6 - 2*m**3\/3 - 2. Let v(c) be the third derivative of q(c). What is o in v(o) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1370562.64 to the nearest one thousand.\nAnswer: 1371000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**6\/60 + v**4\/6 + 686*v**2. Let t(b) = -4*b**3 - 8*b. Calculate -7*n(s) - 3*t(s).\nAnswer: -2*s**3 - 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 566272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 4 = -5*q. Suppose 2*b - 14 = b. Calculate the greatest common factor of q and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 999471 is divided by 12980?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-2) - (-4 - 2*-8). Calculate the lowest common multiple of -10*(-2 - (-1 + 4\/k)) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, h: 2}. What is prob of picking 2 h and 2 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 699, 726, 775, 858, 987, 1174, 1431, 1770?\n\"Answer: 2*d**3 - d**2 + 16*d + 682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6, 126, 266, 438, 654, 926?\n\"Answer: 2*n**3 - 2*n**2 + 112*n - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 18 = -0*t. Suppose -4*m = -2*c + 56, c - 28 = -0*c + 5*m. Suppose -h = -5*n + c, -t*n = -2*n + 2*h - 14. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**5 + 2*v**5 + 4*v**5 + (3 - 2 + 0)*(-8*v**5 + 3*v**5 - v**5).\nAnswer: -3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -167*r + 8. Let j be p(-11). Suppose 0 = 2*s + j + 1555. Round s to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 + -2)\/(-2)*41. Let h be (b\/8)\/(1\/4). Let r = -19 - h. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.728484 times 0.4?\nAnswer: -5.4913936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 28 - 22 = r, 0 = 4*r - 5*h - 60 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/9, 5, -1\/2, -13?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + sqrt(176) + 1 + -3 + (sqrt(176) - -3*sqrt(176)*2)**2 + (6*(-3*sqrt(1100)*1 - (1 + sqrt(1100) + 0)))**2.\nAnswer: 2888*sqrt(11) + 642258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 1, r: 1}. What is prob of sequence rg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148536575.\nAnswer: 5, 11, 49103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.28135 - -0.01865. Which is the third smallest value? (a) l (b) -0.4 (c) 1\/6 (d) -160.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77189 - -2791.78?\nAnswer: -74397.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-4)\/(-7) - (-2920)\/280. Suppose -4*j = -m - 27, -5*m + k = -3*j + 9. Solve -35*f + 37*f - j = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1 (b) 3\/2 (c) 6\/55 (d) 0.4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -307 + -1?\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1990 - 3396. Let k be 80\/(-5)*(-6)\/(-4). Does 33 divide s\/(-13) - k\/(-156)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/330 and -113\/240.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -23*r**3\/18 + 5*r**2\/12 + 3*r - 270. Factor b(p).\nAnswer: -(p - 1)*(23*p + 18)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*a - 3*c + 12, -18 = -2*a - 3*c. Suppose -a = -2*x + 2. Suppose -u - 53 = -6*n + 3*n, -n - x*u + 35 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -217*s**3\/6 + 37*s**2 + 10*s. What is the first derivative of n(j) wrt j?\nAnswer: -217","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q. Let s(x) = 788256*x. Calculate b(s(p)).\nAnswer: -3153024*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*z + 16, 4*z = 3*v + 3*z + 32. Let d = 24 + v. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -11, 4\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.36 - -0.06. Let s = 1.22 + 4.38. Let h = 5.7 - s. What is the nearest to -2 in -0.4, h, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 + 217824*s\/7 - 5930911872\/7.\nAnswer: -2*(s - 54456)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18 - -2*18036\/4.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -35 + 0*f + 11\/3*f**3 + 0*f**2. Let v(l) = 25*l - 11. Let y(s) = 5*s - 2. Let n(c) = 2*v(c) - 11*y(c). What is n(b(d))?\nAnswer: -55*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-8)*(-3 - -7). Let i = a - -7. Find p, given that p + 2 - 18*p**2 - 2*p + 17*p**i = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 61*n - 11. Let p be g(6). Suppose 2*d - 209 = p. List the prime factors of d.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1662 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 x when four letters picked without replacement from xxhhxhhh?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 7*v - 5*v + 3*y, -5*v - 5*y + 20 = 0. Which is the nearest to 0.2? (a) -2\/15 (b) v (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6*g - 143 + 61 - 5*g + 53. Give v(12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1080)\/180 + ((-4)\/(-14) - (-496)\/28).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -23. Let f = j + -5. What is the second smallest value in 1, f, 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10899657 divided by -4491.\nAnswer: 2427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.24 - 17.76. Let s = w - -74. Let t = 56.00072 - s. Round t to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 7 = -25*z + 30*z, 2*i = 5*z + 19 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -5*c + 8*a, 0 = 5*c + 126*a - 124*a - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47683, -47678, -47671, -47662?\nAnswer: -47651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 13504?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -81, -82, -79, -72, -61?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f**5\/3 - 98*f**4\/9 - 6*f**3 + 82*f**2\/9 + 28*f\/3 + 16\/9 = 0. Calculate f.\nAnswer: -2, -1, -4\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3\/8, 556, 5\/2, -0.7, -4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/5 (b) -13 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41033 is divided by 142?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4)*n**4)**31*n**(-1)*n*n\/(n**(-1\/6)\/n)*(n\/(n\/n**(-1)))**(-2\/97) assuming n is positive.\nAnswer: n**(155903\/1164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0179 - -380.0179. Let z = m - 377. Let g = -1\/13 - -16\/39. Sort 0, z, 2, g in decreasing order.\nAnswer: z, 2, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + y - 1. Suppose -2*l = -u - 10, -2*u - 3*u = 10. Let a(o) = -2*o**2 + 2*o - 3. What is l*b(i) - a(i)?\nAnswer: -2*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 55 - 8*p - 21 - 4*p**2 - 4*p**4 as w*p**3 + i + f*p**2 + u*p**4 + l*p and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - -7. Let m = x + -23. Is 6\/24 + 3254\/m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8172 = -4*o + 5*p, 0 = -2*o - 4*p + 5486 - 1426. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n - 4. Let f = 21 + -23. Let i(c) = 28203*c + 28206*c - 19 - 56414*c. Determine f*i(j) + 11*q(j).\nAnswer: -j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x - 4. Suppose 4*t - 4*z - 8 = -0*z, -z = 1. Let q(g) = g + 1. Let u(p) = t*i(p) + 2*q(p). Let y(n) = -3*n - 5. What is -11*u(k) + 4*y(k)?\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**0)\/((s\/(s*s**5))\/s)*s*s\/s**(-3)*s*s**5*(s**(1\/4))**43*(s\/(s\/(s**3\/s)))\/s*s**(-6) assuming s is positive.\nAnswer: s**(95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68560 and 608.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184104 - 638219 + 54*k**2 - 52*k**2.\nAnswer: 2*k**2 - 454115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2. Let h(a) = 2*a + 7. Let m(p) = -2*p - 6. Suppose -i + 8 = 1. Let x(q) = i*m(q) + 6*h(q). Determine w(x(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 109*w + 2 - 103*w - 2 in the form d + s*w and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -31*z**5\/20 - z**3\/3 - z**2\/2 - 4*z. Does 16 divide a(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3153152095.\nAnswer: 5, 17, 239, 269, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242648, 242645, 242642, 242639, 242636?\nAnswer: 242633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004916 to six dps.\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10101011010 (base 2) to base 8\nAnswer: -2532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -6398, 1\/4, -0.03 in decreasing order.\nAnswer: 1\/4, -0.03, -2\/17, -6398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4353343 (base 6) in base 3?\nAnswer: -102000222000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 2\/3 (b) 1\/12 (c) -3.9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o = -57 + 17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -1392*r - 8337. Determine c(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49594921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**2 - 2*d**2 + 0*d**2 - 2*d**2 - 2*d**2 + 6*d**2 + 1 - 1 + 2*d**2 + (-6*d + 4*d + d)*(0*d - 3*d + 2*d).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**2 + 0*q**3 + 0*q**5 + 43\/2*q**6 + 3*q + 3 + 0*q**4. Find the second derivative of i(v) wrt v.\nAnswer: 2580*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 - 8*b**2 + 8*b - 11. Let p(t) = t**3 - 4*t**2 + 4*t - 6. Let u(a) = 4*m(a) - 7*p(a). What is u(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c - 4*c + 3*c - 3*c + 14*c**2.\nAnswer: 14*c**2 - 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**2\/2 - g + 1. Suppose 1 = -3*b + 7. Suppose b*z + 1 = -2*d - 5, z = d + 7. Give r(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27016 - -1*(2 + 1). Let p = 66919 - o. What is p rounded to the nearest 1000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8 (b) -0.2 (c) 10983 (d) 2\/9 (e) 1\/5 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2297506185 a multiple of 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*d - 10 = 0, 2*d = 3*l - 0*d + 17. Let c(f) = f**3 + 5*f**2 - f + 1. Calculate the lowest common multiple of c(l) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 10 + 8\/15*w**3 + 2*w - 7\/15*w**6 - 4\/5*w**2 + 23\/10*w**4 - 19\/25*w**5. Find s such that g(s) = 0.\nAnswer: -2, -2\/7, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -107751.\nAnswer: 969759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a - 21?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 4*t - 35 = 13 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + r - 7 = 4*x, 29 = -4*x + 5*r. Let n = 567 + -291. Let a be (-18)\/(-8)*(-16)\/n*2. Which is smaller: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -21*x - 30. Let i be f(0). Is (111\/(-6))\/(3\/i) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.8475 - 0.1525. Which is the closest to -0.4? (a) 5 (b) 6\/5 (c) 0.05 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77086999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 623*(-1)\/(-4) + 4\/16 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9000161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/23972 and -41\/333796.\nAnswer: 2000439428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -42999 greater than -42999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 6 - 1)*1. Suppose 0 + 9 = u*y. Suppose -6*j - 4*k + 23 = -j, -j - y*k = -9. Solve -2*b + j*b - 1 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 0 + 7\/6*b**3 - 11\/60*b**5 + 0*b - 1\/8*b**4 - 3*b**2. Let h(x) = -5*x**2 - x + 3. Determine 7*h(y) - 3*m(y).\nAnswer: -2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*x - 6. Let s(i) = -i + 5. Let p be s(x). List the prime factors of (p\/(-2))\/((-1)\/(-164)).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 175633*t - 175631*t - 5*x + 31, -t - 5*x + 22 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 91\/(-8) - -11 - (-35)\/8. Put 1, 5, 3, m in ascending order.\nAnswer: 1, 3, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*i**3 + 5*i**3 + 2*i**3)*(3 - 2 - 3) + (-5 - 5 + 59)*(i**3 - i**3 - 2*i**3))*(-3*i**2 + 2*i**2 + 3*i**2).\nAnswer: -208*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -668960\/39 - -17151. Find the common denominator of i and (-4)\/(-100)*205\/3.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -2150?\nAnswer: -2144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 9*f - 3. Let d be v(-8). Let x = d + 28. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1271426, -2542854, -3814282?\nAnswer: -5085710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31.0767502 * -0.1.\nAnswer: 3.10767502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2655, -9618, -21225, -37476, -58371, -83910, -114093?\n\"Answer: -2322*h**2 + 3*h - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 305*r**4 - 2*r**3 - 237?\nAnswer: 1220*r**3 - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 2218528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -179 + 185. Find the third derivative of -q**4 - 19*q**c - 12*q**2 - 8*q**2 - 19*q**6 wrt q.\nAnswer: -4560*q**3 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7 in -0.5, -5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2822 times -4\nAnswer: 11288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1694) + sqrt(1694)*2 + sqrt(1694) + sqrt(1694) - sqrt(126)*-6)\/(sqrt(175) - (sqrt(175) + (sqrt(175) - sqrt(175)*-1*-5) + sqrt(175))).\nAnswer: 73*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1574621*m**3*v**3 - 5*m**3*v**2 + 9*m**2*v**5 + 2*m**2*v - 184315*m**2 wrt v.\nAnswer: 9447726*m**3 + 540*m**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 + 12*z + 28. What is the remainder when (-542)\/(-14) - 2\/(-7) is divided by j(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqhvkqsh. What is prob of picking 2 q and 2 h?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + (-14)\/(-10))\/2. Let t = -2.96 - -3.36. Sort d, -2, t in increasing order.\nAnswer: -2, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/2)\/(-1) - 575\/(-50). Let w(l) = -l + 18. Determine w(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -14. Suppose -177 = -u*q + 147. Suppose -3*c + 116 + q = -2*h, 5*c = 4*h + 331. Calculate the remainder when c is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45570\/(-2480) + (-2)\/((-16)\/3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 362492 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpftpfrfytaa. Give prob of sequence fy.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4574.6, 0.1, -0.919?\nAnswer: -4574.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-10) + 1164\/20. Let c be ((-5)\/(50\/(-15)))\/(y\/4). Do c and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 3\/5. Let j be 3\/9 + (-1)\/3. Which is smaller: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/2340 and 49\/916578?\nAnswer: 9165780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) 0.3 (c) 0.4 (d) -0.2 (e) 652\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3753376 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6150*d + 6658 + 2428 = 5996*d for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 308, -3 in increasing order.\nAnswer: -3, 76, 308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + ((-36)\/(-14))\/(-3). Suppose 0 = -5*k - s + 14, -605*s = 4*k - 604*s - 12. What is the closest to k in -5, f, -8\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8835 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -105327*w**3 - 2*w**2 + 3*w + 35806934.\nAnswer: -315981*w**2 - 4*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10306 is divided by 63.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 943101674271 - -48.9?\nAnswer: 943101674319.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 12 = -3*w. Calculate the highest common divisor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - 43 - (5 - (-2 - (0 - 2)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*q + 8490 + 2596 = 0 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 4. Suppose 18 = 5*x + k. What is the remainder when 10 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3 - 17 = 0. Let l be -2 + (0 - -1) + 2. Let g be l - -6*(-3)\/(-6). Sort -7, g, r in decreasing order.\nAnswer: g, r, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*k - 3*o, 15 = -8*k + 3*k + 5*o. Suppose -4*l = -12, z + 0 + 2 = l. Solve z = y - k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 1:54 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjvpjjvppjjvp. Give prob of picking 3 v.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3709*g**2 + 248*g**3 - 3709*g**2.\nAnswer: 248*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6.135287 milligrams?\nAnswer: 0.000006135287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) 2\/23 (c) -4 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3175984 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2557084165.\nAnswer: 5, 101, 5063533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**3\/7 - 4623*v**2\/7 - 381480*v + 1336336\/7 = 0.\nAnswer: -1156, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.01 * -1.\nAnswer: 8.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*a + 462 + 246, -5*k + 712 = 3*a. Is k a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4, -2, -5.\nAnswer: -5, -2, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**4 + l**4 + 5*l**2 - 4556 + 7*l - 6*l + 4554 + 6*l**3 as r + g*l**2 + c*l**4 + p*l**3 + k*l and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 15. What is the tens digit of 666\/21 - (-7)\/((-49)\/j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 5, -4, 0 in increasing order.\nAnswer: -6, -4, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 5:56 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10352690351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -600300 divided by 115\nAnswer: -5220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times 488?\nAnswer: 29.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*q = 3*q + 40, 3*r - 53 = 4*q. Suppose 0 = -4*m - 3*i + 25, m - 5*i = 2*m - r. Solve -2*w + 14 = w + m*j, -2*w + 21 = 5*j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -6647762?\nAnswer: -6647760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 + r**2 + 2*r - 4. Let d be a(4). What is the units digit of (-9528)\/d - (-4)\/(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 9 = -c, 2*f - 7 = -c - 1. Suppose 6 = -q + f*q. Solve 15 = -q*r - 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 588837, 1177671, 1766505?\nAnswer: 2355339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.81 + 0.8. Let u = -0.19 + w. What is the nearest to 1 in u, 0.04, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 693 and 92763?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 + -57. Is 8 a factor of (-2 + 195\/25)*g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140\/8*2080\/1300\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.1 - -13. What is the closest to o in 1\/7, -0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 18. Suppose -4*p = -d, -5*q - 3*p = -0*q + 22. Let l(n) be the second derivative of -n**4\/12 - 2*n**3\/3 - 3*n**2 - 3*n. Calculate l(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -616 + 17862\/29. Let d(h) = -h**3 - 26*h**2 - 49*h - 35. Let c be d(-24). Let a = 10 + c. Is a less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 5*w - 9. Let z(v) = v**3 + 5*v**2 - 3*v + 14. Let h be z(-6). What is the tens digit of d(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 4*i + 8, 3 + 11 = -4*l + 2*i. Let b = -3 - l. Solve 2*d + 2*d - 3*c - 17 = 0, 0 = -b*d - 2*c - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62759 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**6\/120 + 2*z**5\/25 - z**4\/24 - 3942*z**2 + 2. Factor x(q).\nAnswer: q*(q + 5)*(5*q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (268 - 268 - 64*l)*(42 - 13 + 30) in the form v + j*l and give j.\nAnswer: -3776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j + j + 2*j + 4*j - 19. Let c be r(4). What is the third derivative of -6225*w + c*w**5 - 5*w**2 + 6225*w wrt w?\nAnswer: 1740*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*o - 316*o - 70482 = -527*o - 867*o for o.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-48)\/(-54)*(2 - -7). Solve -s*w = -17 + 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 25. What is the units digit of a(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 12*g**2 + 16*g + 19. Let j be t(-13). Let m be 3\/j + 2\/5. Which is bigger: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.168 - -1.168. Which is the smallest value? (a) -8 (b) 20 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 260381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -65, -261, -587, -1043, -1629, -2345, -3191?\n\"Answer: -65*r**2 - r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -37. What is the remainder when 29 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 5)*(5*h**2 - 5*h**2 + 2*h**2 + (0 + 2*h + 0)*(3*h - 2*h - 2*h) + 0*h**2 + 0*h**2 + h**2) to b*h + j*h**2 + y and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 331355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -637 + 653. Suppose 184 = 3*u - u. What is the remainder when 9\/(u\/(-104) - -1) is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**5\/20 - 2*f**4\/3 + f**3 + 7*f**2\/2 - 4*f. Let u be n(7). Which is greater: u or 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -2)\/(1 + 34\/(-35)). Calculate the greatest common factor of f and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 6*x + 21. Let v(k) = k**3 + 12*k**2 - 2*k - 12. Is v(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7)\/(g*g*g*(g**0\/g)\/g*g))\/(g**0)**21)**(-27) assuming g is positive.\nAnswer: g**(432\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + z = -2*z - 308, -4*a + 2*z = -304. Suppose 5*i - j + 223 = 0, -3*j + 16 = -2*i - 81. Let v = a + i. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4 - 7 + 0 + 3*t**2 + 4 + 3*t. Suppose 3*p + 30 = 5*a, 16 = 2*a + p - 3*p. Suppose -a*k = -0 + 6. Give y(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5364 is divided by 174?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21911237 and 0.051.\nAnswer: 21911237.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -6, 6403, -4, -3, 1, -2 in descending order.\nAnswer: 6403, 1, -2, -3, -4, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 366 = -64*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12, -20, -30, -42, -56?\n\"Answer: -r**2 - 5*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15460151 (base 7) in base 9?\nAnswer: 2725632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 - 73. Solve -4 = -b, -b + 21 = -5*x - t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b + 14. What is the units digit of p(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 - 32973*y**3 - 24242*y**3 + 17326*y**3.\nAnswer: -39889*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1617*h + 50684 + 9304 - 3393 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -227 - -516. Suppose 10*q = -7*q + d. Solve -2*r - p - 16 = -7*r, 5*r - q = 2*p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = -89 + 589. Let g = 54 + l. Suppose -132 - 79 = -3*w + 5*s, -148 = -2*w - g*s. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22932 and 16107.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22132.66671 rounded to the nearest ten?\nAnswer: 22130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/sqrt(5) + 4 + sqrt(80) + (sqrt(80) - (sqrt(80) + -4)).\nAnswer: 8 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -58894 (base 11) in base 12?\nAnswer: -41190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, x: 1, q: 1, k: 1, s: 2}. What is prob of sequence xk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-25)\/90 - 1\/(-9)*-2. Put n, -0.1, -2, 0.3 in increasing order.\nAnswer: -2, n, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 9*n - 7. Let f be (n - 7) + 12\/(-3). Let r(v) = v**3 + 9*v**2 - 11*v + 8. What is the least common multiple of 10 and r(f)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/9 and 1392\/(-90) - (-19)\/(-95)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -1704*b + 1121. Is z(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvsvyvsvsvvvvvv. What is prob of picking 3 v?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 4*b + 3*b + ((-3 + 6 - 2)*(b - 2*b + 0*b) + 5*b - 3*b - 4*b + 4*b + 0*b - 8*b)*(0 + 0 + 1))*(-2 + 2 - b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4523659695.\nAnswer: 3, 5, 181, 555391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 318*s - 1023. Is 48 a factor of v(31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 156\/18 + -5\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14007 and 0.04818.\nAnswer: 14007.04818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/27776 and 23\/36192.\nAnswer: 31414656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -194098*n + 5 + 8 + 194091*n to w*n + y and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 6:45 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6194314 days to nanoseconds.\nAnswer: 53518872960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101002 + -222110?\nAnswer: -121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10\/((-280)\/126)*2\/(-9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 97*q - 26. Let d be 6 + 4 + (5 - 7). What is the tens digit of n(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -204274*w**4 + 1600864*w**2 wrt w?\nAnswer: -4902576*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2555 = -208*q - 157*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23853659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -113222?\nAnswer: 113230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**8\/504 - n**7\/315 + n**6\/180 + n**5\/90 - n**2 - 13. Let m(y) be the second derivative of o(y). Find c such that m(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -32, -79, -154, -263?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**2 - 3*g + 617. Calculate w(-15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54734 is divided by 1429?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (5 + (-99)\/21)*(-6)\/(-4)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -176 by 11.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 5:27 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4)\/(g*g**(-8)\/g)*(g**(-1\/2))**15 assuming g is positive.\nAnswer: g**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 29*m - 28. Suppose 0 = 5*h + 4*w + 17, -h + 12*w + 14 = 7*w. Let x be q(h). Let s(z) = 7*z - 1. Let u be s(-4). Is x greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t + 4*t + 0*t - 2 - 3*t + 0*t + t + (4 - 3 - 3)*(0*t + t + t).\nAnswer: -5*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s. Let q(d) = 10*d - 8*d - 3*d. Give b(q(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217, -218, -221, -226, -233?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.021, -0.8, -0.3?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -132 - -136. Suppose 0 = 2*t - l - 10. Suppose -h - t*h = 16. Let y(a) = 4*a**2 + 3. Let v(w) = -5*w**2 - 4. What is h*v(c) - 3*y(c)?\nAnswer: -2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(1\/2))\/j**(-5)*(j\/(j\/j**3))\/(j*j**6) assuming j is positive.\nAnswer: j**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 68*b**2 + 30*b - 1. Let y(x) = -x. Calculate a(y(p)).\nAnswer: 68*p**2 - 30*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 1944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1957527.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2 + 1)*2)\/(-2)*(-1050)\/(-25). Solve 38 = -40*t - x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-14)*s**11 assuming s is positive.\nAnswer: s**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m + 2*u - 4 = 0, 4*m - 1 = -3*u. Let s be (3 - -17)\/(m\/(-4)). Suppose 4 = 11*n - s. What is the greatest common factor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 5:44 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*p + 211 + 36. Let o be (15\/2)\/(2\/(-24)). Let w = o + 155. What is the greatest common divisor of p and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8928 or 9071?\nAnswer: 8928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004215553 to six decimal places.\nAnswer: -0.004216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -30*v - 328. Calculate the lowest common multiple of t(-11) and 19.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105145 - 0.1715464.\nAnswer: -105145.1715464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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 first derivative of 18*q**3 + q**2 - 1156?\nAnswer: 54*q**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, y: 2}. Give prob of picking 1 y and 2 z.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -13*n**4 + 5*n**3\/3 + 28*n**2. Is c(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1020 and 26265.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/42 - (-384288)\/14 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135410 divided by -2\nAnswer: -67705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/(-3) + (-14)\/42. Suppose 2*t - 4*t + 27 = -k, -f*k = 3*t - 46. Calculate the least common multiple of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - 33*4\/48. Let s = -2 + 3. Let r = 187.9 + -188. Which is the closest to r? (a) 0.3 (b) s (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 45 = -3*w. Let y be ((-20)\/25)\/((-6)\/w). Let f(c) = c**2. Let q(x) = x**3 - 4*x**2 + 3*x. Let t(v) = 2*f(v) + q(v). What is t(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1161 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**5\/4 - 107937*g**4\/4 + 431589*g**3\/4 + 3993921*g**2\/4 - 6259902*g + 9065700 = 0. Calculate g.\nAnswer: -7, 3, 4, 35975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4*m*m)**(7\/2) assuming m is positive.\nAnswer: m**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 100, 101, 102, 103?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 2541*v**2\/2 - 983*v - 3237. Differentiate d(p) wrt p.\nAnswer: 2541","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 2*o + 2*o)*(-4 + 0 + 1) + (0 + 1 - 3)*(o - 2 + 2) - 4*o - 1 + 1.\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**5\/60 - t**3\/3 + t**2. Let s be b(0). Let z be 1*1\/(s + 3). Is 2\/21 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 5 - 2*j + 30)*((-2*j**2 + 3*j**2 + j**2)*(-3 + 2*j**2 + 3) + 6*j**4 - 4*j**4 - 4*j**4 - 3*j**4 + 0*j**2 + 0*j**2).\nAnswer: 2*j**5 - 37*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide -1*(-24 - 0 - 15591)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 12, j: 6}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2224077, 2224088, 2224095, 2224098?\n\"Answer: -2*s**2 + 17*s + 2224062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*z - 717 = 1321 + 1515 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 238 + -165. Let m = -71 + r. Solve -2*v + m*a + 9 = -3*a, -a = 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 2. Let w be f(-1). What is the units digit of w\/(-2)*(-15 + 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**5\/8 - 3*j**4\/4 + 237*j**3\/4 - 57*j**2 - 471*j\/8 + 231\/4 = 0. Calculate j.\nAnswer: -14, -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 2*f - 7. Let r be a(3). Let n be -12*(-8)\/(-12) + 3. Let b(l) = l**3 + 6*l**2 + 3*l - 11. Let p be b(n). Is r greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*k**2 - 120*k**2 + 60*k**2)*(3*k - k**3 - 3*k - 3*k**2).\nAnswer: 2*k**5 + 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azayzlozzlloy. Give prob of sequence laz.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 + 11*q**2 + 5*q + 5. Let r be t(-5). Solve 0 = 3*g + v - 5, -g + r*v - 3*v = -11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 10*h**2 + 225*h - 1517. Is c(-156) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*p + 339 = -1128 - 1242. Calculate the remainder when 1081 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -231\/5. What is the nearest to -2\/9 in -2\/3, g, 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f = 15. Let r(g) = -g + 31. Let z be r(f). Solve -4*l = 4*x - z, x + 3*l - 12 = -4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.049 + -0.101. Let g = -14.252 - m. Round g to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 4. Suppose -7*m + 14*m = 98. Calculate the remainder when x(-6) is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 3)\/(-2) - -1. Let x = 6567\/4298 - 60\/2149. Sort x, w, -4, 3\/8 in descending order.\nAnswer: x, 3\/8, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4180933\/10 - -417738. Let a = y - -357. Find the common denominator of ((-596)\/(-99) - 5)\/((-4)\/3) and a.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*(-1*sqrt(300) - (-1 + 1*sqrt(3))) + (-5 + 5 + 2 + sqrt(3))*-3)**2.\nAnswer: 1080*sqrt(3) + 19485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b - 3540*b**2 + 0*b + 2 - 3 - 2*b.\nAnswer: -3540*b**2 + 10*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1.5. Let v be ((-10)\/(-4) - 2)*(21 - 21). Suppose 0 - 4 = -k. What is the nearest to 1\/3 in r, k, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 + 18*t**2 + t + 11. Let g be i(9). Suppose g + 1 = -3*m. Let a(w) = -3*w - 3. What is the smallest common multiple of a(m) and 34?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1374175 (base 8) in base 10?\nAnswer: -391293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37241880 and 18620940?\nAnswer: 37241880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4462528427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - -2 - (-7)\/1. Let n(z) = 3*z + 62. Let a be n(-18). Let p = a + -3. Solve 2 = p*h - v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 2*h**2 + 8*h + 5. What is the smallest common multiple of p(4) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*6*-6*(sqrt(56)\/(-1*sqrt(8)) + ((-1*sqrt(7) - sqrt(7)) + 4)**2).\nAnswer: -6335 + 2448*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12040 (base 5) in base 7?\nAnswer: -2416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) -130 (c) -4\/5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35962 is divided by 327.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/13)*c)**(-2\/53) assuming c is positive.\nAnswer: c**(-32\/689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*r + 30793, 112*r - 2 = 111*r. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 915 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {v: 5, e: 3, j: 2, b: 4, l: 5}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 280*x**3 - 2533*x**2 - 13*x - 1. Calculate q(9).\nAnswer: -1171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0 + 4. Let o be (z + -3)*-1*1. Let t(x) = x. Let p(l) = 44*l + 8. Let b(g) = 10*g + 2. Let q(d) = 4*b(d) - p(d). Determine o*q(h) + 5*t(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 184972176 a multiple of 466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7a0 (base 13) to base 15\nAnswer: -5c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -114 + 114.568. Let j = 0.59 - m. Let l = -0.01945 + j. What is l rounded to four decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -7. Let o(y) = y**2 - y + 1. What is the units digit of o(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49339683 by 5482187.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(6\/2))\/((-156)\/(-416)*-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*o + 2*q = 25*o + 5, 4*o = 3*q - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 - 8*a + 6. Let b be i(4). Let j = 21 - b. What are the prime factors of 3 + (4 - (-52 - j))?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189289.\nAnswer: 73, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25, 39, 73, 133, 225, 355?\n\"Answer: c**3 + 4*c**2 - 5*c + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k**2 + 5*k + 3. Let c be (16\/(-10))\/(4\/20). Let t be (-4 + 7)*c\/6. Is i(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -488027.103 - -18.5.\nAnswer: -488008.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a + 6. Let s be 0 + 35 - (28 - 33). Suppose -79*g + s = -87*g. Let j(p) = -2*p - 7. Calculate g*j(r) - 6*c(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11677 is divided by 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 421 + -329. What is the highest common factor of i and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*z = 141*z + 129*z - 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -950, -7584, -25592, -60662, -118482?\nAnswer: -204740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 121 = -142. Let x(h) be the third derivative of 0*h + 0*h**w - 8*h**2 + 1\/12*h**4 + 0. Let v(g) = -2*g. Give x(v(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - -2*sqrt(91)*1)\/(sqrt(28)\/sqrt(16)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 + 2*k - 2*k)*(506399 - 505587 + 3*k - k) + (2*k + 0*k + 0*k)*(k**2 - k**2 - 2*k**2) to the form x + r*k**2 + w*k**3 + h*k and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33*s**3 + 37309*s**2 + 1922792.\nAnswer: 99*s**2 + 74618*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/5))\/(x\/x**(-9)))**(-43\/5)*(x\/(x*x*x**(-6)))\/(x\/(x**(-5)\/x))*(x\/(x\/(x**(-5)\/x)))\/x**(-2\/13) assuming x is positive.\nAnswer: x**(23164\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1425\/4 + 713\/2. What is the nearest to -0.2 in -2\/3, -2\/25, q?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(756)\/(sqrt(12) - -2*sqrt(12)))\/(sqrt(9) + sqrt(144)*2 - sqrt(9) - sqrt(9) - sqrt(9)) - (sqrt(112)*1*-3 + 1)) + -3)**2.\nAnswer: -868*sqrt(7)\/9 + 334807\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/10)\/(2\/(-4510)). Suppose 1052 - n = -2*q. Suppose -5*j = -3*j + q. Round j to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6368501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.113 + 0.113. Let m = -207 + 203. What is the second smallest value in -9, -2\/5, d, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -5*c + 20, 4*c - 20 + 32 = 4*p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*d + 3*d. Suppose -d*h = -17*h + 128. Let u = -6 + h. Calculate the remainder when u is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100110 (base 2) to base 14.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14983, -16613, -18243?\nAnswer: -19873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2225*o + 183*o = 160*o - 8808 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266083 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-23 - -65) + -24 - -78?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*r - 2, 3*r + d - 13 = -3*d. Let f = 12 + -7. Let l be (-6)\/(-8)*2*2. Solve -f*a - 12 + 3 = r*h, 3*h = -l*a - 9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3099*-16078\nAnswer: -49825722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 633 = 1447. Let o = 1341 + f. What are the prime factors of o?\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2102, 2063, 2024, 1985, 1946?\nAnswer: 1907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1545553325 + 4?\nAnswer: 1545553333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69204, 138406, 207608, 276810, 346012?\nAnswer: 415214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 f, and 1 d when three letters picked without replacement from didfodo?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 - 47. Suppose -t = o + 5*o. Let a be -2 - (3 + o + -3). Solve -a = -2*m + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0 = -12. Suppose 0 = -6*h + q*h. Let p = -11 - -8. Sort h, 3, p.\nAnswer: p, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8162 + -5308. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43*r**4 - 3*r**4 - 12*r**4 + (-3 - 4 + 5)*(-2*r**4 + r - r) - 2*r**4 + 0 + 0.\nAnswer: 30*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {p: 5, s: 13}?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v + 7. Let g(b) = -10*b + 2 + 20*b - 11*b. Let n(a) = 14*g(a) - 4*r(a). Let s(p) = 55*p**2. Give n(s(d)).\nAnswer: 110*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 44 = -q, 2*q - 3*k - 41 = 19. Let w(j) = -j**3 + 7*j**2 - 3*j - 3. Let p be w(5). Let h = p + q. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 3*d**2 - 4*d + 4. Suppose -696*n + 692*n = -4*y + 20, 2*n = -3*y. Calculate z(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4\/k)**(18\/11)\/((k\/(k*k\/((k*k**(2\/87)*k)\/k)))\/(k\/(k\/(k**(-2)*k))*k)) assuming k is positive.\nAnswer: k**(4676\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 = -2*w + 7*w + 3*d, -w + 66 = 5*d. Calculate the greatest common factor of w and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*c + 4796 = 2*l, 5*c + 15 = 0. Is l a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 5*l**2 + 3*l + 2. Suppose 87 = 6*m - 153. Calculate the least common multiple of w(-2) and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2129*m. Let i(u) = -19*u - 6*u + 43*u - 10*u - 10*u. Give g(i(d)).\nAnswer: 4258*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -21*u**4 - 11122*u**3 + 4244*u**2 + 2120*u = 0.\nAnswer: -530, -2\/7, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -3317 to the nearest one hundred.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 43*w**5\/20 - 103*w**3\/6 + 76*w. Find the second derivative of z(x) wrt x.\nAnswer: 258*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzpczwcznnn. What is prob of picking 1 z and 1 w?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 296621*d = 296623*d + 70, 5*d = -3*g - 177 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v + 2380 - 585 + 1535 to r + l*v and give r.\nAnswer: 3330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*c + 2744 = 564*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15006838?\nAnswer: 2, 7, 11, 13921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**5 - 111*y**4 + 486*y**3 - 132*y**2 - 1992*y + 2304 = 0 for y.\nAnswer: -2, 2, 3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -47.032\nAnswer: 47.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/10 + (-2)\/(-5). Suppose 5*y - 3*q - 98 = 0, 7*y + c*q - 73 = 3*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 + -47. Which is the closest to -1? (a) 0.3 (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 14, 10, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 2*p - 13, -4*r - 41*p - 18 = -43*p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5910)\/(-1773)*522\/(-20).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3931847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2079*x = -2081*x - 2*o - 142, -343 = 2*x + 5*o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/7 (b) -2.587 (c) -0.22 (d) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**4 - 72*k**2 - 2*k + 462 wrt k.\nAnswer: -12*k**2 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -94 * 4\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -426 + 751. Let u be 52\/p*(-5)\/6. Which is smaller: u or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -553787, -1107205, -1660627, -2214053, -2767483, -3320917, -3874355?\n\"Answer: -2*u**2 - 553412*u - 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 26846721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45641481 - -45641399.000082. Let o = -82 - p. What is o rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -246*a - 244*a + 507*a. Let v(z) = -9*z**2 - 11*z - 11. Let x(r) = 5*r**2 + 6*r + 6. Let f(i) = -6*v(i) - 11*x(i). Calculate j(f(l)).\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 - 2697.\nAnswer: -2698.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, x: 1, v: 1, t: 6, h: 6, k: 2}. Give prob of picking 1 h, 2 l, and 1 x.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 13\/(-1) - (17 + -9)*19\/(-38).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 2. Let s = 152.1 + -152. Which is the closest to 0? (a) 0.3 (b) o (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-2 - 10\/(-6)). Suppose 12*i = 10*i + 20. Let j(m) = m - 1. Let c be j(i). What is the highest common factor of c and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -800 by 32.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 a factor of 25098940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**5\/11 + 2*j**4 + 338*j**3\/11 - 1030*j**2\/11 - 9912*j\/11 + 10584\/11 = 0. Calculate j.\nAnswer: -7, 1, 6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q**4\/5 + 1759*q**3\/5 + 81834*q**2\/5 - 541096*q\/5 + 740672\/5 = 0.\nAnswer: -1304\/7, -71, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 928934 to the power of 1\/2, to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 12 - (-5 - (1 + -8 + (20 - 22)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 230622864 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 1:07 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -7 (b) -33 (c) -1\/10 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 222 - 673 + 218 - c + 224.\nAnswer: -2*c - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39 + -0.6921785.\nAnswer: -39.6921785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 326*y**2. Let k(o) = -3*o + 4. Give k(g(u)).\nAnswer: -978*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 429 divide 8079231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*i**3 - 397*i**2 + 397*i**2 + 2*i)*(i + 4*i - 3*i).\nAnswer: 20*i**4 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -14586.8 times -0.9\nAnswer: 13128.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.15 + 1.85. Let d(n) = -n**3 - 44*n**2 + 49*n + 173. Let m be d(-45). What is the second smallest value in -0.1, w, m, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 4, z: 14}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**4\/12 - l**3\/3 + l**2 - l. Let x = 16 - 19. Let q be n(x). Sort -2, 1, q.\nAnswer: -2, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 4476?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/14 - 124\/7812 - 15965\/(-36549)?\nAnswer: -1\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -383*w + 1133. Determine q(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5962629 or 5962622?\nAnswer: 5962629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvoosoftsvoisoiffof. Give prob of picking 1 f and 2 i.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) -0.57 (c) 4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -2\/21, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2004 and 178356?\nAnswer: 178356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 3*f - 3*f - 2*f. Let x(l) = 245*l**2 - 484*l**2 + 248*l**2. What is m(x(s))?\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1266900 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -64 and -14.77741.\nAnswer: 945.75424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -326429 - 4.58\nAnswer: -326433.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*u + y, 4*y + 24 = 4*u + 2*y. Let b = 7 - u. Solve b*z + 0 = -6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-3))\/(15\/(-180)). Suppose o = x + 1. Suppose 3*m = -2*v + 6*v - 31, 0 = x*v - 5*m - 26. What is the greatest common divisor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -247 and 0.27?\nAnswer: 247.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*q - 3*q**3 + 2*q**3 + 2*q**3 - 50*q**2 - 264*q**4 + 127*q**4 + 128*q**4 wrt q.\nAnswer: -216*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -91*n - 1026. Let c be q(-12). What is the greatest common divisor of 506 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, x: 1, q: 1, n: 1, h: 1}. What is prob of picking 1 z, 1 q, and 1 h?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**4\/9 + 5*f**3\/9 - f**2 + 37*f - 8. Let t(i) be the first derivative of y(i). Factor t(s).\nAnswer: 2*(s + 3)*(2*s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296478907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 5949.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x + 37. Let j be t(11). Suppose j*u + 6406 = -2*d + 2*u, 6385 = -2*d + 5*u. What is d rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2 - -2 - 8 - (-30 + 28)) + -13\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*f**4 - 67*f**3 + 14*f**2 + 80*f = 0 for f.\nAnswer: -2, -40\/27, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 6:48 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*((-1 + sqrt(176))*5 + sqrt(176) + sqrt(176) + 1 + -3*sqrt(176) + sqrt(176) + -1)*-2)**2.\nAnswer: -12800*sqrt(11) + 283200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9098, -18195, -27282, -36353, -45402?\n\"Answer: u**3 - u**2 - 9101*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, g: 11}. Give prob of sequence wg.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one twentieth of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 2. Let n(h) = h**2 + 9*h + 11. Let r be n(-9). Let b be w(r). Factor -64*t + 16 + b*t + 7*t + 20*t**2.\nAnswer: 4*(t - 2)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/39 - (-44)\/(-52). Let m = -120 + 477\/4. Sort j, m, -0.4 in ascending order.\nAnswer: j, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 19*j**2 - 414*j + 46. List the prime factors of h(32).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 5*y - 39, -701*z - 63 = -699*z + 5*y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + 56. What are the prime factors of g?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -443539 by -3.\nAnswer: 443539\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/256 and -25\/223296?\nAnswer: 893184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 + 1. Let i = -10 + 10.24. Let c = i + 0.26. What is the smallest value in c, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*p - 23, 5*p + v = -3*v - 8. Let y be 39\/9 + p\/(-6). Suppose -4*f = y*a - 3*f - 49, 5*f = 20. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001 (base 3) to base 10.\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75168 and 667008.\nAnswer: 58029696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -0.4 (c) -13 (d) 0 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 46741430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22760 and 5486.\nAnswer: 62430680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -83, 0.067, -124?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1490 is divided by 487?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10430 - -204?\nAnswer: -10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*44\/96*-4*-2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -53. Let b = 51 + d. What is the second biggest value in b, 0.1, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(8)*1 - (sqrt(8) + sqrt(800)*1).\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6080633.\nAnswer: 13, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.051 - -4.949. Sort 1, -1, -8, l in increasing order.\nAnswer: -8, -1, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 16*l - 346. Let p be w(7). Let m be (-4)\/(-5) + 8 + p\/30. Let s = 0.2 + -0.1. Which is the second biggest value? (a) m (b) s (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106 + 203. Let d = f - 64. What is the remainder when d is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**4\/12 + b**2\/6 - 8. Factor i(c).\nAnswer: -c*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -8, 3, 4, -5 in decreasing order.\nAnswer: 30, 4, 3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-368*45\/360)\/(2*1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -6cfd17c?\nAnswer: -6cfd17d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50359 is divided by 50.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38178 and 3598.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 8*h + 70. Let d be g(10). What is the greatest common divisor of d and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzpzjjzmqjqqqqzkjkqq. What is prob of sequence kpz?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(4*f**2 - 2*f**2 - f**2) + (-3*f + 3*f + 2*f)*(3*f + 18 - 18).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 - 22 = -4*v + 4*w, 0 = -5*v - 4*w + 29 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000046638149 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34054 = -1486*o + 28358 for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -54374 - -112153. What is the ten thousands digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-39)*1735\/(-694)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 35*r + 17 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 26 - 6 = 5*c, 4*c = -4. Let o = n + 21. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 16) in base 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2639984219 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 26\/(-4))*6. Let m = 37 + n. Suppose 23 = 2*q + 3*k, 28*q + 2*k = 31*q - 41. Which is greater: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 2*z**2 + 375*z + 29 - 17 + 11 to o + u*z + y*z**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*m - 49*m = -49 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*d - 188*d + 56*d + 50*d + 56*d.\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**3 - 9*q**2\/2 - 6*q + 3. Let m(z) = -6*z**2 - 19*z - 13. Let y(d) = -13*c(d) + 6*m(d). Factor y(u).\nAnswer: 3*u*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5639232 and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 103065526263 - 70.\nAnswer: 103065526193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 14 = -3*n, -24 = -0*n - 4*n - 4*u. Suppose -n*h + 5*h = 2. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1083 and 36.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.08 + -0.08. Let g = 24 - 23.8. What is the closest to -1 in g, 1\/2, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -107165*b**3*y + 2814*b**2 + 18*b*y wrt b?\nAnswer: -642990*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, -126.49 in descending order.\nAnswer: 7, -3, -126.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 12:12 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 207*d + 24*d + 1880 = 0 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 4*l**2 + l - 4. Let r(u) = -4*u**3 + 2*u**2 + 2*u + 1. Let q be r(-1). Let y be a(q). What are the prime factors of y\/(-8) + 0 + 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*sqrt(38)\/sqrt(2) + (sqrt(19) - sqrt(1216)*-1 - sqrt(19)).\nAnswer: -2 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/4, -0.3, -38, -0.2 in ascending order.\nAnswer: -38, -11\/4, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 613 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*s + 5*s - 12927. Suppose -8*j = -9*j + s. List the prime factors of j.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -7*k**4\/12 + 1059*k + 1. Let v(u) = -4*u - u + u. What is w(v(y))?\nAnswer: -112*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l - 22. Let h(q) = q - 1. Let t(s) = -g(s) - 2*h(s). Is t(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -225 + 233. What is the remainder when 31 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + sqrt(132)*-2)\/sqrt(11))\/(sqrt(66)\/(sqrt(22)\/sqrt(2))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 - 651*d - 1552*d - 323*d - 1241*d)*(2 - 2 - 2*d) in the form p*d**3 + o + j*d + r*d**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/15 + 8\/6. Let o(l) = -4*l**2 + 3*l - 3. Let r be o(x). What are the prime factors of (1 + r\/8)*182?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 1.4, 4, 90 in descending order.\nAnswer: 90, 54, 4, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0*808\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17241553 - -47?\nAnswer: 17241611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, m: 4, k: 5}. Give prob of sequence ymk.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*c - 5 - 19 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 8:23 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-602)\/86)\/(7\/((-1)\/(4 - 3)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -22.7 * -419.44\nAnswer: 9521.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-3))\/(6\/9). Let m(x) = -x**3 + 2*x**2 - 1. Give m(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-604)\/1208)\/(((-26)\/(-24))\/13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007092278 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1959.\nAnswer: 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/297486 and -17\/214851.\nAnswer: 3867318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88 + -38. Let c = 50 - g. Suppose c = 185*s - 180*s + 700. What is s rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2\/9, 1\/2, 2\/5, 15?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (7\/280*8*2)\/(14\/4253305) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d687 (base 14) in base 7?\nAnswer: -212530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 271*u**2 - 2*u - 1. Is 6 a factor of h(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96 - 64. Let h = s + -113. Let a = 186 + h. What is the greatest common factor of a and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5)\/q**(15\/4))\/(q*q*q*q\/(q*(q\/q**(2\/61))\/q)*q**(-2\/37)) assuming q is positive.\nAnswer: q**(-105887\/9028)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/5)\/((-16)\/640*-16)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 8*a + 42. Calculate the lowest common multiple of q(6) and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 23300619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13928 - 17672 = 104*d for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l + 10. Let r(u) = u. Give -2*r(d) - z(d).\nAnswer: 2*d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgz when three letters picked without replacement from lhghglqgqqnzghhglq?\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**3\/3 - 4*z**2 - 9*z + 1. Let t be c(-7). Which is smaller: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -10. Suppose 2*p + 4 = -2*x + 7*x, -5*p - x + 17 = l. Suppose 0*f = -4*h + f + 51, -p*f + 3 = 0. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 426883126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 568779 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6460796977 to the nearest integer?\nAnswer: 80379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = 213 - 1176. Let l(y) = -19*y + 3. Let r be l(3). Let g = r + k. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilccsss. Give prob of sequence il.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 3233.\nAnswer: -16\/3233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6318.231 months in years?\nAnswer: 526.51925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 235857 a multiple of 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1041 (base 7) in base 13?\nAnswer: -228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 38932?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*g - 3790 = -2*w, 4*g + 3780 = 5*w. What are the prime factors of w?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*4)\/(1080\/(-162))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**3 + 6*d**2 + 3*d - 5. Let f be x(-7). Let u be (f\/24)\/(2\/12). Round u to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14649\/10 - -1468. Let q be 1805 + -2*1 + 0. Let y = -3691\/2 + q. Find the common denominator of z and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/72 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.8 - -0.7. Let o = i - -1. Which is smaller: o or 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 9. Let o(w) = -5. What is 3*k(x) - 5*o(x)?\nAnswer: 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.15 - 1.65. Let l = j - -1.6. Let h = 0.2 + -1.2. Which is the smallest value? (a) l (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -14885338.8?\nAnswer: 14885338.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4346173 to the nearest integer?\nAnswer: 2085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 + 27. Let d = -14 - m. Which is the closest to 4? (a) 0.1 (b) d (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 50840 - 18585. Let c = w - -71012\/11. What is the common denominator of c and 14\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -68, -100, -132, -164?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-57)\/9 + (-8)\/12. Let l be (-9)\/(-36)*(-4)\/f. Let g be (-50)\/(-70)*4\/(-10) + (-26)\/7. Which is the third biggest value? (a) g (b) l (c) -0.5 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -115 - -77247?\nAnswer: 77132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 3*h - 3*h)*(1 - 1 - h) + 4*h**3 - 8*h**3 + 0*h**3 + (-4*h**2 - 2 + 2)*(-2*h + 2*h - h + (2 - 2 + 2)*(2*h - h + h)).\nAnswer: -18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u = 475 - 2615. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 102*a**2 + 40*a + 341. Is h(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3062*w + 3153*w - 6281*w as q*w + x and give q.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.1839178 rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 - 2*c + 1. Let h be j(1). Suppose t + h = -t. What are the prime factors of (3 + -2)*t*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-2*u + 4*u + 0*u)*(-7 + 5 - 2).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -120, -1276, -4518, -10890, -21436, -37200, -59226, -88558?\n\"Answer: -174*n**3 + n**2 + 59*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 3, -2.9, 2 in decreasing order.\nAnswer: 3, 2, -2.9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321 (base 13) to base 6.\nAnswer: -2250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362*l - 367*l + 300 = 0. Calculate the highest common factor of 228 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4636747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 94994 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.059*2.027.\nAnswer: 0.119593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0) + (71 - 37) + -51.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from {y: 2, d: 1, b: 2, r: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 23676*a + 46712748.\nAnswer: 3*(a + 3946)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -65 and 528.\nAnswer: -34320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 20. Suppose 5 - x = -4*m. Suppose -m + 2 = k. Calculate the greatest common factor of k and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-6) - 369\/(-27). Let q = k + -44. Let f = 59 + q. What are the prime factors of f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 + 2*b + 3 + 87.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2443 bigger than -2443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 450\/(-66) + 7 - (-68)\/(-11). Let o(l) = -l**3 - 6*l**2 - 3*l - 13. Let f be o(d). What is the closest to 1\/3 in 7, f, 13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - -153599 - (-12 - (3 - 12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/88)\/(243\/1080)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.082 - -0.918. Which is the third biggest value? (a) -2 (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 - -11 - (39 + -40)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/923 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**3 + 271*t**2 - 1574*t - 4240 = 0.\nAnswer: -2, 8, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from iqqddjqiq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 - 24*f - 5. Let i(h) = 4*h**2 + 49*h + 9. Let p(d) = 6*i(d) + 13*x(d). Let n be p(-8). Calculate the highest common factor of n and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**5\/60 - h**3\/3 - h**2. Let m(y) be the first derivative of u(y). Determine m(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4533555 litres to millilitres.\nAnswer: 453.3555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 6*q**2 - 9*q + 7. Let z be h(5). Which is bigger: -16 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 20*n**2 + 22*n + 5. Let j(d) = d + 1. Let r(f) = -5*j(f) + u(f). Find the second derivative of r(v) wrt v.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -146*o**2\/5 + 416*o\/5 - 248\/5 = 0.\nAnswer: 62\/73, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1 - 2) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*-1 + sqrt(3) + 1 + sqrt(54)\/sqrt(2) + (sqrt(12))**2 + -2)*-1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/58386 and 73\/174?\nAnswer: 1693194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4\/9 - 10\/9*m - 2\/3*m**2 + 2\/9*m**3 + 2\/9*m**4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 603, 706, 819, 948, 1099?\nAnswer: 1278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/7 + -3\/35. Let l(z) be the first derivative of -z**2 + 0*z**3 + 1\/2*z**4 - a*z**5 + z - 1. Suppose l(q) = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 55650.\nAnswer: 111300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*b + 22*b - 18*b)*(-5*b**3 + 0*b**3 + 3*b**3).\nAnswer: -68*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-98)\/(-21))\/(4\/246). What is the tens digit of 18\/(-24) - i\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 10 = 0, -5*f + d + 5 + 15 = 0. Suppose -22 = -4*t + 10. Calculate the lowest common multiple of f and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4*(2*sqrt(65) - sqrt(65)) + sqrt(65)))\/(sqrt(10)\/(sqrt(6)\/sqrt(3))*6)*2.\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 9 = -5*a + 15*n, 0 = 5*a - n - 29. Solve -c = a*h + 8, -h + 1 + 7 = -3*c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212591 divided by 4?\nAnswer: -212591\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74325 - -339566. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (319\/143*-1)\/(5\/(-65))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by 169?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/19 (b) -7\/15 (c) -307\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 205701 + 0?\nAnswer: 205701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165858?\nAnswer: 2, 3, 7, 11, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.61133339 to 2 dps.\nAnswer: -1.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37912, -151654, -341224, -606622?\nAnswer: -947848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = x - 1238, -2*f = 2*x - 4*f - 2492. Calculate the highest common divisor of x and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 871856 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*w + 76*w - 42*w + 5500 = 0. Calculate the least common multiple of w and 440.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 223\/6, -1\/2, -4\/9, 229?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 - 60. Suppose -8*x = z - 19. What is the third derivative of 6580*f**3 - 6580*f**3 - x*f**5 - 11*f**4 - 53*f**2 wrt f?\nAnswer: -120*f**2 - 264*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = f - 48, 3*f - 201 = -5*q - 51. Let l be 1 - 4\/((-20)\/f). What is the greatest common divisor of l and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqalort. Give prob of picking 1 a, 1 q, and 2 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2112 (base 6) in base 11?\nAnswer: -3a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106 (base 7) to base 15.\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -317 (base 10) to base 3.\nAnswer: -102202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + f + 3*m + 35 = 0, -4*m = 0. Suppose -2*w + f*w = -15, -3*t = 4*w - 180. Let g = t - 36. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 - 0.5. Let r = 0.3 - o. Let g = r + 1. Which is the closest to -1? (a) 0.2 (b) g (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -86, 2, 441, -5 in descending order.\nAnswer: 441, 2, -4, -5, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -5, -1244, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 671*v - 1963. Give q(3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t**2 + 1081*t - 7587. Calculate n(-162).\nAnswer: 999","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 2*b**3\/3 + 6*b**2 + 23*b + 1. Is y(-6) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 4*i - 15 + 27 = 0, 4*p + 3*i - 9 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j - 1. Suppose 11 = 3*g + 8. Let i be u(g). Let v(m) = m**2 + 6*m - 90. Let p be v(7). Solve -i*w + p = -14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 456\/342*(1 + 2\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7243534 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10)*(-1305)\/(-696)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -185805 + -0.4.\nAnswer: -185805.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - n - 4 - 1, 0 = o + 5*n + 25. Let a be (-10)\/(-8)*(-1 - -5) + 1. Suppose a = -14*m + 17*m. Solve x - 3*x + m = o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 5*d**2 - 2*d + 1. Let j(u) = -6*u + 66. Let z be j(11). Suppose 3*i - 1 - 5 = z. Calculate n(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2185 and 1955.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 47 = -3368*j + 3374*j, 4*o - j + 22 = -12 - 39 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1015674544?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (15*3\/100)\/((-20)\/14*1470\/560)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 15\/4 of a millisecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9627352?\nAnswer: 2, 7, 171917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 65 - -2155244?\nAnswer: 2155342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245269.\nAnswer: 245269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**4 - 720*u**3 + 64074*u**2 + 131044*u = 0?\nAnswer: -2, 0, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 56 - 7*z**2 + 0*z**3 + 9*z + z**3 - 54. Calculate the lowest common multiple of 16 and p(6).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 318.976.\nAnswer: -95.6928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*u = x + 16, -2*u + 2*x = -14. Suppose 95 = -u*b + 1136. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 2*u**6\/3 - 7*u**3\/3 - 3. Find the third derivative of n(s) wrt s.\nAnswer: 240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -5. Suppose 11 - w = -4*u. Which is the closest to 0? (a) 3 (b) 0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 939 + -609. Does 30 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 5*s, -5*n - 5*s + 28 + 2 = -6*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 5*a - 3, -3*a = -h - 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 627191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6*j - 1 = -2*j, 2*k + 2*j = -8. Let r be (4\/8 - k)*2. Let v = -15 + 10. Put v, r, 0.1 in descending order.\nAnswer: r, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 6) to base 14\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.34 + 4.1. Let w = y - -1.24. What is the nearest to w in 2\/3, -1, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 4*u - 3*u + 3, 4*o + 5*u = -15. Solve -2*t - 4*v - 14 = o, -13 - 2 = -3*t + 3*v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.84 - -1.14. Which is the second biggest value? (a) t (b) 7 (c) 2\/7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1035, 1265, 1931, 3261, 5483, 8825, 13515?\nAnswer: 19781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((42\/45)\/(54\/243))\/((-1)\/5).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**8\/2856 + 2*b**7\/1785 - b**6\/255 - 4*b**5\/255 - 20*b**2 - 1. Determine h, given that s(h) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89213 + 48623. What is j rounded to the nearest one thousand?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c**2 - 4*c**3 - 16*c**2 - 4 + 30*c**2.\nAnswer: -4*c**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*j*v**2*x - 26*j - 4*v**2*x - 3*v**2 wrt x?\nAnswer: 3*j*v**2 - 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*n)*(3*n + 3 + 0*n + 0).\nAnswer: 6*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41201 is divided by 55.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*q**2 - 11 + 11.\nAnswer: 119*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*a + 1774 + 33277, c + 70081 = 4*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399684251?\nAnswer: 399684251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2232\/(-936))\/(3\/(-39)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -304, 5, 2, 3 in increasing order.\nAnswer: -304, -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3330*z - 3392*z - 1798 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 5:15 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-8\/5)*h*h)*h)\/(h*h**(-1)) assuming h is positive.\nAnswer: h**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 2*v - 2. Suppose 5*f + 5*j = 25, -5 = f + 5*j - 2. Suppose -f*t = 7 - 77. What is the least common multiple of t and o(4)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {z: 3, e: 2, j: 6, m: 3, a: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2930684 is divided by 1272.\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 95*u**3 - u**2 + 3*u - 2. What are the prime factors of i(1)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3))**(-10\/9)\/(s\/(s*s**(4\/3))*s**(-1)) assuming s is positive.\nAnswer: s**(43\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1766, -1784, -1792, -1784, -1754?\n\"Answer: v**3 - v**2 - 22*v - 1744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 72*o + 1292. Let r be m(34). Let j(t) be the first derivative of -1\/2*t**3 + 8 + 1\/2*t**2 + 1\/8*t**4 + r*t. Determine w so that j(w) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/111 + 1216\/555. Calculate the common denominator of x and 39\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 39419 + 21034 = 0. What is r rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11929.\nAnswer: 79, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, r: 2, k: 4, f: 4, p: 1, j: 1}. What is prob of sequence frrk?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 2*a + 3*a)*(-2 + 4*a + 2) + 3*a**2 + 0*a**2 - 4*a**2 + a**2 + 2*a**2 - a**2 + (-6*a + 4*a + 4*a)*(-a - 3*a + 5*a).\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 391 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b. Suppose 3*u = 5*k - 28, -2*u + 4*k - 9 = 13. Let s be (0\/(u + -1))\/1. Suppose s = -q - 2 - 4. Let t(i) = -2*i. Determine q*t(p) + 5*x(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 35*p + 2*a, 2*p + a = -37 + 36 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652335913?\nAnswer: 23, 89, 318679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + (-204)\/(-16))\/(2\/(-30)) - (-126)\/168?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (96\/(-10))\/(2\/10). Let s = -41 - v. Suppose 2*n - 102 = -s*x, -x - n = -5*n - 48. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 210453, 210461, 210467, 210471, 210473, 210473?\nAnswer: 210471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r = -5*q - 17, -2*r - 4 = -r - 2*q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -8189*g**3 + g + 106. Let p(h) = 315*h**3 - 4. Give 6*i(m) + 159*p(m).\nAnswer: 951*m**3 + 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*6\/(-18)*(-10)\/65?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 13*q + 20 = 2*n, -3*n - 4*q + 23 = 0. Suppose 2*o - p = 13, -4*p = -4*o - n*p + 19. Calculate the remainder when 51 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -97321?\nAnswer: 19464.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1 - -0.1. Let r be 3*(-2)\/63*3. Which is the closest to r? (a) 4 (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 10111 = -5*y + 62959, -58459 = -4*y - 3*c. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 4*k + 10 + 55 + 11 = 13, 5*k = 2*z + 54 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*s**4 + 5*s**3 - 55*s**4 - 156*s - 207*s**2 - 59*s**3 = 0. Calculate s.\nAnswer: -13, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380 - 353 = -9*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b = 21*b. What is the fifth smallest value in 0.2, 1\/4, b, -2\/11, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-19))**(-3\/23)*w**(2\/55)\/(w\/(w\/w**(4\/11))*w) assuming w is positive.\nAnswer: w**(1456\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*k - 2149*k + 2343*k - 2*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7902073 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48257, -47797, -47337, -46877?\nAnswer: -46417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -15*m - 32. Let n(a) = 13*a + 29. Let u(w) = -5*f(w) - 6*n(w). Determine u(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 24326*m**2 + 2*m + 4. Let h(q) = 13*q. What is h(u(t))?\nAnswer: 316238*t**2 + 26*t + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14 - (2\/(-1) - -1). Suppose -n*z = -18*z. Suppose 2*m - 5*m + 168 = z. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdhd when four letters picked without replacement from {z: 3, d: 2, h: 5}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21\/65 - -1\/13. Put m, -0.77, 2 in decreasing order.\nAnswer: 2, m, -0.77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(0 + (2 - 0)\/(-2)). Let w(f) = f**3 + 6*f**2 + 5*f - 3. Let n be w(q). Let a = -30 - n. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 - -732?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 7:50 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/140*4\/2\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/5*2)\/(16\/40).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -65*r**3 - 3*r**2 + 28*r + 60. Does 132 divide z(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10, q: 4}. What is prob of picking 2 q?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 206245450*m**3 - 7509*m**2 - 448*m - 8 wrt m?\nAnswer: 1237472700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + g - 2*g + 8 = 0, -13 = y + 4*g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p**3 + 93*p**2 + 156*p + 84 = 0. What is p?\nAnswer: -2, -7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2 + 17317*v - 25980 = 0. What is v?\nAnswer: -8660, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 7*f**2 + 5*f - 4. Let u be o(6). Let n = -44 + 49. Let b be (-275)\/n*(u - 0). What is b rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 3394 = 37*d - 4106. Solve 2*m + d*n - 254*n - 12 = 0, n = -1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 + -2.2. Let s be 16\/(-10) - (1 + -3). Which is the biggest value? (a) m (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1370 times -209\nAnswer: 286330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -0.05.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 9:35 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -153586 (base 11) in base 9?\nAnswer: -403687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/4 and 10\/32679.\nAnswer: 130716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2745346211 to the nearest integer?\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -5, 3, -7, 1, 4 in decreasing order.\nAnswer: 18, 4, 3, 1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1 - 824\/(-54)) + -17)\/((-18)\/(-27))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1316 + -19484?\nAnswer: -20800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5 - 17 = 0. Suppose -5*d - 23 = -c*l, 5*l - 11 = 5*d + 14. Let k be l\/((6\/(-10))\/(-3)). Let i(a) = -a**2 + 3*a. Calculate i(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302 is divided by 290.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 1346*n**3 + 4*n**2 - 6 - 10*n - 673*n**3 - 660*n**3. Let g(j) = 4*j**3 + j**2 - 3*j - 2. Give -7*g(r) + 2*y(r).\nAnswer: -2*r**3 + r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 - 8*z - 4. Let i be x(-7). Let g = i + -102. Calculate the common denominator of (-1)\/1 - g\/28 and 11\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14371 and -0.8.\nAnswer: 11496.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0.3. Let k = 21\/5 + -41\/10. Let v be 1\/(-4) - (252\/(-16))\/(-9). What is the nearest to v in k, d, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10698 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/4 + 10\/8. Suppose i*m + 8 = 4*m. Solve f = -f + m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (314\/(-21) + 15)\/(4\/(-24))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 30*j. Let c(z) be the second derivative of -18 - 2*z - 1\/6*z**3 + 0*z**2. Determine f(c(h)).\nAnswer: -30*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 67f03b (base 16) in base 6?\nAnswer: 401555403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4813\/11 - -437. Let d = 48 - 153. Let c be ((-4)\/8)\/(4 + d\/20). Sort 6, 2\/9, j, c in descending order.\nAnswer: 6, c, 2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -514992700 rounded to the nearest one million?\nAnswer: -515000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1397*c + 162913. What is v(-117)?\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (218 + 206 + 208 + 148)*(2*k + 2 - 2) + (-1 - 4 + 4)*(-k + 2*k + k) - 2*k - 3*k + 3*k - 7*k + 4*k + 0*k as o + w*k and give w.\nAnswer: 1553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 i, and 1 k when four letters picked without replacement from yyiuiuuwwioyk?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/6972 and 13\/150479.\nAnswer: 1805748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -9*k**7\/7 - 14*k**3\/3 + 3. What is the third derivative of d(u) wrt u?\nAnswer: -1080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p**2 + 4*p**2 - 2*p**2)*(-4 + 3 - p + 2*p + p**2).\nAnswer: 10*p**4 + 10*p**3 - 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -571, -1958, -4661, -9118, -15767, -25046?\nAnswer: -37393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28*((-58)\/4)\/29?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317498487?\nAnswer: 3, 1667, 63487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 - 13104 + 3273 + 3272 + 3265 + 3294.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035406 rounded to 4 decimal places?\nAnswer: 0.0354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39470 or -39465?\nAnswer: -39470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*i*n**3 + 107*i*n**2 - 2*i*n - 126*i - 79*n**3 + 11*n**2 + 29*n - 5 wrt n.\nAnswer: 72*i*n + 214*i - 474*n + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - 62 - -30 - -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1656 and 8280.\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -419948314261 - -126?\nAnswer: -419948314135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3082005 rounded to the nearest 1000?\nAnswer: -3082000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7632 and 261184?\nAnswer: 2350656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**3 - 10*s**2 - 15*s + 21. Let j be r(6). Is j at least 18\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4824 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 483 = -w - 2*w. Let k be -2 - ((-1 - 1) + 96). Let x = k - w. Calculate the highest common factor of x and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -279*v - 138 + 262 - 1964*v + 239*v - 135. Is i(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**2\/3 + 3595*u\/3 - 3464150\/3 = 0.\nAnswer: -4385, 790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjfjsjjsjjsjjssjjfjj. Give prob of picking 3 s and 1 j.\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-30)\/10 + -230)*2\/(-2). Suppose 4*q + 4*l = 956, l = 27*q - 26*q - b. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -3 (c) 30 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmpomomompyomymov. Give prob of sequence vypp.\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 23*t - 34. Let g be m(21). Which is greater: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35635523 (base 8) to base 10\nAnswer: -7813971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/165071761 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, g: 3, u: 1, x: 1, m: 1}. Give prob of picking 1 c, 1 m, and 1 g.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 3 = -8*y. Suppose 105 = o + y*u, -2*u + 172 = 5*o - 353. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -13*y**2 - 23*y**2 + 9*y - 9*y**2 + 98*y**2 + 9 - 8*y**2. Let p(w) = 11*w**2 + 2*w + 2. Determine 9*p(f) - 2*t(f).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394522.\nAnswer: 2, 197261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22490762?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 8*y - 65. Calculate the remainder when y is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 r, and 1 f when four letters picked without replacement from {e: 1, s: 1, r: 2, a: 2, f: 1, q: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-15) - 5\/3. Let z = -20.27 - 3.73. Put u, z, -5, 1 in increasing order.\nAnswer: z, -5, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 90. Suppose z = 3*n - 46, 0*n - 3*n + 3*z + o = 0. Calculate the greatest common factor of 98 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24877.953 rounded to the nearest 10?\nAnswer: 24880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5910?\nAnswer: -5910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 445 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*v + 2 + 0 - 5*v + 2*v + 2*v + (-6*v + 2*v + 2*v)*(0 + 4 - 2) to the form z + w*v and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*p + 2*n + 21, 4*n = 0. Calculate the lowest common multiple of 6\/8 - 255\/(-12) and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25938, 0, 0.1 in increasing order.\nAnswer: -25938, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxaxxxxxxxxxxxxxxxx. What is prob of sequence ax?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32704 * 0.4.\nAnswer: -13081.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*o = 132*o - 1166 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*t, 2*t = j - 4 - 7. Solve -2*i + 7 = -j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 8:15 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 28 = 5*n, -2*q + 2*n + 22 - 26 = 0. Find v such that 10*v - 52*v**2 - 16*v**3 + 66*v**q + 7*v**4 - 15*v**4 = 0.\nAnswer: 0, 1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -3*p**2\/2 + 27. Let s(x) be the first derivative of 2\/3*x**3 + 0*x + 0*x**2 - 13. Give n(s(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -8 - 12 - 4*g + 2*g**2 - 6 + 19. Let c(y) = -2*y**2 + 3*y + 6. Let u(q) = 6*c(q) + 5*h(q). Calculate u(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20.998 - 0.002. Let a = 21.29 + 0.21. Let j = f + a. What is the closest to -1 in 1, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -15. Let x(j) = -j**2 - 5*j + 13. Let m be x(-7). Let k be (-10)\/(2\/m + 1). Is a smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**2 - q. Let s be o(-1). Is s - (-157836)\/49 - 2\/14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 195 and 35.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 3*v + 12 = 0, l = v - 432 + 436 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.056561 millilitres in litres?\nAnswer: 0.005056561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8921109551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**5 - y**4\/6 - 13*y**3\/3 - 15*y - 2. Find the third derivative of c(w) wrt w.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1\/3)\/y*y)\/y)**(-25)\/(y**(2\/11)\/y**(-4)))\/(((y\/(y\/(y**(-3)*y*y)))\/(y*y**(-2\/13)\/y))\/((y**(-2)\/y)\/(y**5\/y))) assuming y is positive.\nAnswer: y**(9866\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -73\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*-3*85\/(-102).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) 2\/21 (c) 1586301 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3, -9*b + 11 = 3*w - 8*b. Let z(v) = 2*v**2 + 3*v - 1. Calculate the smallest common multiple of w and z(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1488\/(-1600))\/(-31)*-19*2 and 18\/65?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**3*y**4 - 20*p**3*y**2 + 2*p**3 + p**2*y**4 - 2*p*y**2 + 99*y**3 wrt y?\nAnswer: -48*p**3*y + 24*p**2*y + 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -1, -0.2, -9, -10, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/193314816 and 101\/497664.\nAnswer: 1739833344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1111, 2219, 3325, 4429, 5531, 6631, 7729?\n\"Answer: -k**2 + 1111*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*k - 155*k = 35*k - 9990 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 divided by 33.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**4 - 752*t**3 - 24*t**2 + 9056*t - 12032 = 0.\nAnswer: -4, 2, 376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 123875528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*39179.\nAnswer: -391790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 19 (b) -0.3 (c) 4 (d) -5\/57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17)\/(-33) + (-1)\/3. Let c = 76 - 73. What is the nearest to -3 in c, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.858 - 9.358. Let t = 0.1 + 0.2. Let w = 582\/7 - 83. What is the nearest to -0.2 in w, n, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13772543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 58\/2 - -1. Let j(f) = 1527*f + 13745. Let n be j(-9). Which is the nearest to -1? (a) n (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -308348 divided by 1?\nAnswer: -308348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 968?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2\/3 + 28760986*n\/3 + 206798578923049\/3 = 0.\nAnswer: -14380493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20181954 and 6.\nAnswer: -20181948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*a - 959*a + 85*a - 88*a - 310*a - 3.\nAnswer: -1232*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 a factor of 12516240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*0.533.\nAnswer: 5.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -0.1 (b) 0.04 (c) -96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 549 and 1230.\nAnswer: 225090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 3*b. Let r(x) = 9*x**3 - 24*x**2 + 15*x + 24. Let f(m) = 6*j(m) + r(m). Solve f(i) = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/690*((-160)\/15)\/(-8) + 1761\/45.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*y + 296*y + 4312 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - 7*b. Suppose 4*c - 80 = -b*c. Let u = 0 + c. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44724100 to the nearest integer?\nAnswer: 6688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 22, 24, 24, 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, -4, 0 in increasing order.\nAnswer: -64, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/5 (b) 0 (c) -4 (d) 233 (e) 1\/4 (f) -6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 4*v - 14, 4*v + 1 = -m + v. Find the common denominator of -1*m + 18\/(-16) and (-6)\/(-9) - 133\/(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 44 = -8. Solve 5*c + 9 = -4*q, -c + 0*c + q = m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 150 = 23*z. Let k be (0 - -11) + (z - 2). Solve k*r - 18 = 9*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/216 and -23\/162?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a178 (base 13) to base 7.\nAnswer: 450241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -8294 and 122 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40516?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(48) + 0 - (sqrt(384)\/(-1*sqrt(8)))**2 - (-1*sqrt(5808) + sqrt(5808) + -2)**2.\nAnswer: -55 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*r - 0*r + 96, -2*o + 120 = 5*r. Solve -4*k + r*k - 80 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 1\/5, 12 in descending order.\nAnswer: 12, 6, 1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 63*k**4\/4 + 139*k**2 - 20*k. What is the first derivative of n(q) wrt q?\nAnswer: 378*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8697*j - 8827451. Give u(1015).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from smn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 3 - -9) + (3 - 7) + -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*f - 37 + 4. Suppose -c = c - 14. Let b(t) = 2*t**2 - 3*t + 3. Let n(i) = 5*i**2 - 7*i + 7. Calculate c*b(a) + f*n(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-5) - (-19)\/((-1140)\/(-91704)).\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 13 - 3*q + 8)*(2 - 2 + q).\nAnswer: -3*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c + 129. Let i be m(0). Let r = i + -66. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37871097 divided by -3127?\nAnswer: 12111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 1.9. Let j = 5267\/4 - 1317. Let i = 3.5 - 0.5. What is the second smallest value in i, f, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -11199998*y + 2. Let m be w(-1). Round m to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1132ad0 (base 15) to base 2\nAnswer: 101110111101101000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 270 + -213. Suppose -p + 35 = -11*m. Let x = -0.7 - -0.2. Which is the nearest to -2? (a) x (b) -0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 428406 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 9*y + 165. Let b be a(-18). Sort 2, -117, b, -4 in ascending order.\nAnswer: -117, -4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514299351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 8*u. Let o(d) = -102*d**2. Calculate o(j(c)).\nAnswer: -6528*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105 and 2982?\nAnswer: 14910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.9712 rounded to 1 dp?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310461 is divided by 154.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1328*n - 492*n - 12710 + 1078 = 2580 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 612106196*j**2*z**3 + j*z**3 - 628925106*j*z wrt j.\nAnswer: 1224212392*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-1 - 4) - (25 - 14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 343005, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20672 is divided by 1026.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2394 and 683487.\nAnswer: 1366974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 718 = 5*r + 4*o, 64 = 5*r - 4*o - 638. Calculate the remainder when r is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*j + 60. Suppose -4*t = -5*t. Suppose t*w - j = -w. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 121*h**2 - 81*h + 3. What is the tens digit of q(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33543209*o**3 - 943*o**2 - 7?\nAnswer: 201259254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -23, -34, -47, -62, -79, -98?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times 0.0024752?\nAnswer: 0.00012376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12122 and 6061?\nAnswer: 12122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34\/3 - -182\/15. Let g be 12\/10*(-2)\/28. Let m = g - -2\/7. Which is the nearest to 1? (a) y (b) 0.4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.07 (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/16)\/i*i)\/i)**(-22) assuming i is positive.\nAnswer: i**(209\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 447972116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-26)\/(-91) - (-68)\/7. Let v(x) = 3 + 4 - 6 + u*x - 16*x. Determine v(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57331779 is divided by 3898.\nAnswer: 3893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 69 (c) 4 (d) -0.1 (e) -58 (f) -0.3 (g) 195\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2\/342272853 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u = -2*l + 158, 89 = u - 4*l. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u - 1 + 1 + (-2*u + 0*u - u)*(2 + 0 + 0))*(605 + 251 - 272) as w + d*u and give d.\nAnswer: -4672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 0)\/((-4)\/158). Let p be ((-6)\/(-10) + (-24 - -25))*25. Let l = a - p. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-50)\/((-10)\/(-35) + 1283\/(-4466)). Round g to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 9*j**2 - 7*j + 9. Let l(k) = -8*k - 1. Let y be l(-1). Is g(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 - 51*q - 88. Let n be i(26). Is n equal to -65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 1, 3, -6988 in increasing order.\nAnswer: -6988, -5, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.427594kg to micrograms.\nAnswer: 8427594000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 5. Let j be v(-1). Let w be (j\/3 - -2) + 4 + -4. Which is the closest to -0.1? (a) 2\/9 (b) w (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50330156 to the power of 1\/3, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -881, -882, -883, -884, -885, -886?\nAnswer: -887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n = -42*n + 29. What is the closest to n in 5, -5, -15, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -15*a**4\/4 - 3*a + 8. Differentiate q(j) wrt j.\nAnswer: -45*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*k**3 - k*n**2 + 815*n**2 wrt k.\nAnswer: 39*k**2 - n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8112 by 3.\nAnswer: -2704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 40.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.07, -5, -17422, 2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 24 + s - s**2 - 71 + 22 as u + f*s**2 + n*s and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j - 14. Let p(w) be the first derivative of w - 5. Let i(n) = -5*p(n) - t(n). Give i(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3213 is divided by 96 + -84 - ((-6)\/(-5))\/(3\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -8*n + 375, -3*n + 25 = 2*d - 113. Solve 16*t = -48 - n for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*r + 5. Let t(x) = -16*x - 12. Let d(o) = -11*o - 8. Let f(i) = r*t(i) - 7*d(i). Suppose 5*u + 4 = 3*m + 23, -2*m = -2*u + 10. Determine f(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*j + 2*a*t - 3*a - 8*j*t - 14*t wrt a?\nAnswer: j + 2*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -15644?\nAnswer: -15645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d (base 14) to base 10.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -372.16840145 and -0.08.\nAnswer: -372.24840145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8759 + 711196. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 468273105*a**3 + 388209526*a wrt a?\nAnswer: 2809638630*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 427964038 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -4*y. Suppose y*a + 76 = 4*a. Solve -5*j - o = a, -4*j + 4 = -5*o + 25 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(4\/(-2) - -1). Suppose -6*f = -15*f - 450. Let i = f - -42. Is y at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.50455 - -31629.12455. Let c = n + -31615.619993. Let a = 10 - c. What is a rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/3*n**3 - 44\/3*n**2 + 218\/3*n + 260\/3 = 0. What is n?\nAnswer: -26, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 263042 + -121027. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i + 330009 = 3058182. Suppose -162410 = -11*p + 6*p + 5*r, r = -4*p + i. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 3. Let o be q(6). Suppose -5*u - 6 = -o*v - 2, -3*v - u + 10 = 0. Suppose -3*f = -5*h - 251 - 84, 121 = f + v*h. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.029 <= -1\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -917512, -3670029, -8257552, -14680081, -22937616, -33030157?\n\"Answer: -917503*m**2 - 8*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/1 - 3*1. Let h = 18 + r. Let n = h + 24. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -800 + 800. Let w be ((-12)\/(-15))\/((-4)\/(-10)). Suppose 10 - 3 = w*u + d, -4*u + 5*d = -7. Solve k = -4*b + s + 15, -b - u*s = -2*s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/36)\/(234\/(-27)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3459.\nAnswer: 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3 (b) -0.3 (c) -4 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -b + 2. Let q = 186 - 159. Let t = q + b. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426060751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 7*k + 3. Let z be h(-7). Suppose 2*m - 8891 = -3*m - z*y, 2*m - y - 3552 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 6 = 4. Let w(k) = -74*k**3. Is w(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*k + 152*k = -2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**3 - 14*b**2 + 32*b + 472. Calculate the remainder when v(-14) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 5:42 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Let b = 1.5 - d. Let r be ((2 - -1) + 0)*(-3)\/3. What is the smallest value in r, b, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/2*(3 - (-22)\/(-10)). Let p be (-1)\/(1\/(-94)*o). Suppose -p = -4*a + 145. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 2. Let m(s) = -15*s - 200. Let z(w) = -91*w - 1225. Let j(u) = 49*m(u) - 8*z(u). Let y(g) = -3*g. Let i be (-1)\/3 - 28\/6. Determine i*y(r) + x*j(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 117225 * -4.67.\nAnswer: -547440.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -322.6, -2, -0.65, 57\/4 in decreasing order.\nAnswer: 57\/4, -0.65, -2, -322.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 25*b + 48. Let d(q) = -7*q + 13. What is 22*d(u) - 6*v(u)?\nAnswer: 6*u**2 - 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.00342+55284398\nAnswer: 55284397.99658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1*2)\/(81\/243)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3751563 decades in years?\nAnswer: 3.751563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-26)\/(-130) - 24\/(-5). Find the common denominator of (915\/63)\/g - 4 and -37\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (11*s - 8*s - 21*s)*(-3 + 4 - 2 - 2*s).\nAnswer: 36*s**2 + 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 + 114. Let p = 5 - 0. Suppose 0 = -5*j - 4*f + 49, 2*f - 6*f = -j + p. What is the highest common factor of m and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -97*d**6\/2 + d**4\/12 - 8*d**3\/3 - 1591*d. Find the third derivative of a(w) wrt w.\nAnswer: -34920*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760398 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2.3 (b) 0.025 (c) 2 (d) 1\/6 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x. Let z = 12 - 8. Suppose 16 = -4*d + 3*d - 4*f, 0 = 3*d + f + z. Let k(c) = c + d*c + c. Calculate k(o(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99206*a - 99197*a + 198407*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*v - v**2 + 50*v - 86*v**5 - 16 - 4*v**4 + 0*v**4 wrt v.\nAnswer: -1720*v**3 - 48*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amr when three letters picked without replacement from {r: 1, c: 2, z: 1, m: 3, a: 5, w: 1}?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-1)*(-21)\/69. Let x = p + -1\/46. Let z be 5\/(40\/(-12))*120\/(-90). Which is greater: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 64*c - 182*c.\nAnswer: -244*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q**2 + 2*q + 4. Let w be k(-4). Let j = w - -79. Suppose j*i + 14 = 18*i. Solve -3*o = i*o + 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -22 - (-1 - -12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 1. Let z(h) = -h**2. Let l(y) = 3*q(y) + z(y). Let g(k) = -4*k**2 + 8*k + 8. Give 3*g(n) - 8*l(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -1776*d**3 - 16*d**2 + d**4 + 1778*d**3 + d**4 - 24*d = 0. Calculate d.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -70551.981 and 352?\nAnswer: 70903.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*v**4 - 35*v**3 + 39*v**2 + 19*v + 2.\nAnswer: -(v - 1)*(v + 2)*(5*v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-4))\/(21\/(-322)). Let y = r + -21. Find w, given that -8 - 49*w**y - 163*w**2 + 14*w**2 + 76*w + 81*w**3 = 0.\nAnswer: 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*f + 2*f**2 - 30*f + 71*f + 1 in the form v + m*f + l*f**2 and give m.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/141 - 36\/329. Let q be (-2)\/(-5) + (-88)\/70. Let r(b) = 2*b**2 + 11*b + 12. Let h be r(-4). What is the nearest to -1\/2 in n, h, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most 24611.5731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4350*z - 4349*z = 5*g - 165, 2*z + 74 = 2*g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2 - 403093920*o - 13540392361747200 = 0. Calculate o.\nAnswer: -67182320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 2 - (4 + (3 - 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22390, -88204, -197440, -350098, -546178, -785680?\n\"Answer: -21711*l**2 - 681*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/7 - 26*v**2\/7 - 110*v\/7 - 150\/7.\nAnswer: -2*(v + 3)*(v + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -226*r**2 - 273*r**2 + 158*r**2 + (-2 + 0 + 1)*(0 + 0 + 2*r**2) + 3*r**2 - r**2 - 4*r**2 to the form q + n*r + h*r**2 and give h.\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.9139798 to two decimal places.\nAnswer: 59.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5783.\nAnswer: 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35867, -71108, -106351, -141596, -176843?\n\"Answer: -q**2 - 35238*q - 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b. Let v(o) = -12051059*o. Calculate q(v(a)).\nAnswer: 24102118*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 56*y**2 + 82*y - 45. What is the derivative of q(d) wrt d?\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*l = h - 4*h - 1093, -53*l + 2*h = -112*l + 57*l - 14 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n + 101. Let x be p(-6). Suppose -52*d - 2100 = -x*d. Calculate the greatest common divisor of 40 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -25. Does -8 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**4 - 55*i**3 - 200*i**2 - 240*i = 0 for i.\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6185 - 3.\nAnswer: 6182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7*i - 49. Let m be d(7). Solve m = 3*p + 5*p - 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 - 20 = 5*q. Let m be 192\/10 + 5\/q. Let b = m + -11. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2870 or -2885?\nAnswer: -2885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 112 + -100. What is the lowest common multiple of 14 and a?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28192*t**2 + 208194*t wrt t?\nAnswer: 56384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -197 + 206. Let p(o) = 2*o**2 - 10*o + 29. What is the units digit of p(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*x - 9499447*x**3 + 43*x.\nAnswer: -9499447*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 57 - 31 = 0. Suppose -8*l - 4535 = -x*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 11*a + 19. Suppose 0 = 2*t - 3 - 25. Suppose -b - t = -3. Let q be f(b). Solve -q + 7 = -3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -3 - 531876540\nAnswer: -531876543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323*o - 321*o = 1298. List the prime factors of o.\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 187, -0.1, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23817359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 519 - 718. Is j less than or equal to -197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 11 - 1)*(4*y + 2*y - 4*y)*(-2*y**2 - 8*y**2 + 14*y**2) + 2*y**3 - 2*y**3 - 2*y**3.\nAnswer: -154*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (1 - 1) - (-12 + 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191672 divided by -2.\nAnswer: -95836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6*j + 221792 = 5*o, -3*o - 277203 = -5*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 6 + 4)*(-3*b**5 + 6*b**5 - b**5).\nAnswer: 40*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (((-3 + 0 + 5)*(0 + 1 + 0) + 1 - 2 + 2)*(-6*x + 7*x + x) - 1 + 1 - 3*x)*(-7*x + 8*x + 24*x)*(x - 3*x + 4*x).\nAnswer: 150*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**1\/(g**(-6)\/g*g)*(g*g**(-3)\/g)\/g*g**(-5)*((g*g**(2\/5)*g*g*g)\/g)**(-2\/97)\/(g**(2\/11)*g*g**(-6)) assuming g is positive.\nAnswer: g**(14661\/5335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2. Let z be q(-2). Let y(w) = w**2 - 19*w + 4. Let o be y(19). Suppose -z*x - x + 100 = o*p, 0 = -5*x + 4*p + 60. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -23241\/7, -4, 0.3?\nAnswer: -23241\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 + -4.6. Let i = 0.5 + -0.6. Suppose 15 = 4*s - 5. Which is the closest to i? (a) s (b) 0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24192 and 656?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11061736 divided by -5530868\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 - (-32 + 8 + 22)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 10:59 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -633 divided by -211.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -21 - 56*d + 25*d + 32*d. Let y be h(23). Solve 2*q + y*q = 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1100000010011000111010010?\nAnswer: -1100000010011000111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/(-9))\/(3\/(-9)). Let a = 22004 + -65999\/3. Sort d, -3, a in descending order.\nAnswer: a, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/2 - (-198 - -202). Which is greater: 240 or q?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/759345 and 22\/3565?\nAnswer: 759345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*w + 20, 2*x - 4*w = -0*w - 18. Let t be (8\/6)\/((-4)\/(-6)). Let q(y) = -2*y - 4*y + 0*y - t + 5*y. Let k(v) = -v + 1. Calculate x*k(r) - q(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -581\/3 + 196. Let i be 12\/42*(-7)\/(-3). Factor o*h**2 + 5\/3*h - i.\nAnswer: (h + 1)*(7*h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 12*w + 20. Let m be u(-4). Let q(a) = a**2 - 18*a - 13. Is q(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4416993 and 189?\nAnswer: 13250979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3228.448um to nanometers.\nAnswer: 3228448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11707566077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/2 + 1\/1. Let h = -2.7 + 2. Let c = h + 5.7. What is the closest to 1\/4 in 3, c, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 769716658 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-81) + (-20)\/9. Let f(b) be the second derivative of -4*b**4\/3 - 11*b**2\/2 - b. Let j(d) = 3*d**2 + 2. Determine x*f(l) - 11*j(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -140*o**2 + 4477*o + 88. Give l(32).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*h = 35*h + 125*h - 18177 for h.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/3392 and 13\/144.\nAnswer: 30528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c + 13. Let x be a(-4). Solve -28 + 3 = -x*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322724169.\nAnswer: 3, 83, 16001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1 + -24 - 1680210\/(-147)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1068*s = -1072*s + 444. Calculate the remainder when 1103 is divided by s.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -8)*12\/14. Suppose 79 = 4*y + 3*q, y - n = 2*q - 0*q. Solve 5*x + 9 = -y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*2*sqrt(1296))\/(-5*(sqrt(147)*2 - sqrt(147)))*-1)**2.\nAnswer: 6912\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 540 = 4*p, 3*x - 4*p = -p + 375. What is the remainder when x is divided by 49?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2299 is divided by 178?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 + k**5 + 2*k**5 - 2*k**2 - k**4 + (-3 + 5 + 0)*(-6*k**5 + 3*k**5 + 4*k**5) + 2 - 2 + k**5.\nAnswer: 6*k**5 - 2*k**4 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*f**3 + 1305449*f**2 + 69604*f + 158.\nAnswer: -36*f + 2610898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(14)\/sqrt(2) + 4 + (sqrt(7) + 2)*3)*3)**2 + 1.\nAnswer: 816*sqrt(7) + 2165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1113325 is divided by 27833?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/23064 and 113\/744.\nAnswer: 23064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 863 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/(y*y*y\/(y*y\/((y*y\/(y**4*y)*y)\/y)*y)))\/y)\/y**(-2\/17))\/((y*y**0*y)\/y)**(-42) assuming y is positive.\nAnswer: y**(784\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 65*s**3 - 11*s - 146*s**3 + 72*s**3 as n*s**3 + c*s**2 + r + j*s and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1455 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2913042.9 months to centuries.\nAnswer: 2427.53575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24761498, 24761493, 24761484, 24761471, 24761454?\nAnswer: 24761433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 10*w**3 - 8*w**2 - w. Suppose o = -2*o + 9. Let d(z) = -2*z**o + 7*z**3 - 4*z**3 + z**2 - 2*z**2. Give 2*b(g) - 18*d(g).\nAnswer: 2*g**3 + 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17398814.\nAnswer: 2, 857, 10151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3006 and 39410163.\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - -812?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7490 is divided by 594.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 8:36 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, m: 5, u: 4, y: 3}. Give prob of sequence ymuh.\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 40990.42 and 161031.\nAnswer: 202021.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 510 divide 210067980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/6)\/((-4)\/(-22)). Let u be (-2)\/r - (-75)\/11. Does 3 divide u\/(2 + (1 - 2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49193489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -569671\nAnswer: -3\/569671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.679, 30, 1, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2292109.\nAnswer: 31, 73939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74\/(-10) - ((427 - 424) + (-8)\/5)?\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*p = -5*a + 29, 2*p + 3*a + 69 = 0. Let x = p - -27. Solve -5*c = d - 2 - x, -2*d - c = -4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75 + 280. What is the remainder when a is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -3*q**2\/2 + 71*q + 2. Let j be h(23). Solve 0 = -s - 3*v - 2, -6*s + 7 = -s - j*v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 12262*q**2 + 31664*q**2 + 0.\nAnswer: 19402*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -94*t**3 + 1229*t - 12*t**2 - 1232*t + 14*t**2 as v + u*t**3 + f*t**2 + d*t and give u.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5284?\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1254555057+-856\nAnswer: -1254555913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 0 - (-70 - -3). Suppose 226 = 5*d + 2*b - a, -3*b - 189 = -3*d. Suppose 0*o - d = -4*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464866592 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19830587?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x = 50. Let m be 2\/x + (-11)\/(-5). Suppose -2*k = 3*y - 417002, -5*y + k + 695001 = m*k. What is y rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 811014 and 474?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/12)\/(8\/(-16)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -40417*c. Let v(u) = -u**2 - 223*u. Give v(f(q)).\nAnswer: -1633533889*q**2 + 9012991*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 5619?\nAnswer: 11238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 - 71. Put o, 3, -2, 2 in increasing order.\nAnswer: -2, o, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(1\/6)))**(-17) assuming u is positive.\nAnswer: u**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7534\/5 - -23852\/15. Let g(l) be the first derivative of -6*l**5 + 1\/3*l**6 + 0*l**2 + 0*l + 75\/2*l**4 - v*l**3 - 26. Factor g(k).\nAnswer: 2*k**2*(k - 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -8\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 272994322?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39101 and -5?\nAnswer: 195505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 2*j)*((-7 + 5 + 0)*(-5*j - j - j) + j - 4*j - 2*j).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46542.\nAnswer: 2, 3, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7795 - -13215. Is a a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2603 - -2687. Calculate the smallest common multiple of 384 and d.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 4*o + 8, c - 2*o - 255 = 0. Let q = 517 - c. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 6*x - 4*x - 3*v, -4*x - 20 = -4*v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 350 - 185. Let k(c) = -277*c + 7. Let g be k(1). Let d be (g\/8)\/3*136\/(-102). Calculate the highest common divisor of d and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + -0.3. Let v = -17 + 9. Let w = 7.7 + v. Which is the third smallest value? (a) x (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7277797.07 rounded to the nearest 1000?\nAnswer: 7278000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50687 + 47291.3. What is p rounded to the nearest one hundred?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109.0688 + -109. Let j = w - 0.086. Round j to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -22 + 2. Let o be (0 - 1)\/(q\/(-25)). Let m = -6\/19 + 5\/76. Put 0.1, m, o in ascending order.\nAnswer: m, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 122\/93?\nAnswer: 122\/93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 44*r**2 - 46*r + 365. Determine v(43).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 518?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18717*c - 7 + 2 + 5 - 6726*c.\nAnswer: -25443*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.2589 to one dp.\nAnswer: 7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**3 - 168272*g**2 - 5380732*g - 5212464 = 0?\nAnswer: -42036, -31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1052842054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from labsaaalbbaaaals.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2220 - 10121?\nAnswer: -13001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(180)\/sqrt(3))\/((sqrt(245) + (1*sqrt(245) - sqrt(245)))*-4).\nAnswer: -5*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2 - 2*l**2 - 3*l**2. Let t(k) = -3*k**2 - 24*k. Let i(p) = -3*p. Let o(v) = -24*i(v) + 3*t(v). What is o(u(w))?\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2630, 10482, 23562, 41864, 65382?\nAnswer: 94110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**4 - 25524*d**3 + 41608974*d**2 - 83141388*d + 41557935 = 0.\nAnswer: 1, 2195, 6311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 60847066 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/9, 2\/7, -2\/9, -0.1, 6218?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 2 + (2 + 1 + 0)*(-1 + 0 - 1))*(513*q - 613 + 613) to l*q + u and give l.\nAnswer: -2565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 40*z**2 + 5. Let t(f) be the second derivative of -5*f**4 - 4*f**2 - 2418*f. Calculate -8*p(n) - 5*t(n).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1390 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 0*l - 6 + 6\/5*l**5 + 0*l**2 + 0*l**4 + 2*l**3. Find the third derivative of s(g) wrt g.\nAnswer: 144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.3.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k - 3. Let p(x) = 31*x - 7. Let s(b) = b + 1. Let y = -30 + 36. Let m(w) = y*s(w) - p(w). Calculate 6*m(r) + 26*t(r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 859136 and 1280?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 12669.\nAnswer: 63345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12901*6.\nAnswer: -77406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - p - 18. Let c be j(0). Let a(q) = -q**3 - 15*q**2 + 55*q + 25. Let v be a(c). Solve 3*x - v = -1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.2 in -3, -2, 3\/2, 0.2, -2\/229?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 10, -2*y + 3*n + 0*n = 6. Let f = y - -3. Solve 0 = -d + f + 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129946683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -3*r + 96 - 1\/3*r**3 - 3*r**2. What is k(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -101, -158, -233, -332?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvviwveewvtwweeev. What is prob of sequence vit?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 19305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*l = 68 - 561 - 827 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l. Let q be h(3). Let o be 38000 - 0*3\/q. Suppose 0*s - o = 4*s. What is s rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4283974 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30276.29 millilitres to litres.\nAnswer: 30.27629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 3 - -1 - (-1430 + 1394)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/108 and 5\/21.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 1:48 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 42*u - 8. Let d(s) = 85*s - 18. Calculate 6*d(m) - 13*x(m).\nAnswer: -36*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.261, -26\/355, 1\/5 in increasing order.\nAnswer: -0.261, -26\/355, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 418838 and 6402238.\nAnswer: 44815666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -479.903 rounded to the nearest integer?\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from eoyyeey?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a. Let h(x) = 610612*x**2 - 4689*x - 9378. Let m(z) = 521*z**2 - 4*z - 8. Let o(d) = 4*h(d) - 4689*m(d). Give o(b(p)).\nAnswer: -521*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195636?\nAnswer: 2, 3, 7, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118951*s**3 + 237900*s**3 - 118956*s**3.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*t = -223*t + 1869. Is t greater than 225\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 2245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*u - 12*u + 19*u)*(2*u + 70 - 69 + 3*u).\nAnswer: -225*u**2 - 45*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 - 10*j**2 + 5*j + 9. What is d(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 8, 2, -4 in increasing order.\nAnswer: -29, -4, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798*l + 1830*l - 4680 = 852*l for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -1885*t**2 - 24*t - 8. Let u(k) = -1257*k**2 - 15*k - 5. Determine -5*i(z) + 8*u(z).\nAnswer: -631*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 177 - 173. Suppose -6*g + 16 - o = 0. Find k, given that 2\/3*k**g + k + 1\/3 - 2\/3*k**3 - k**4 - 1\/3*k**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270592 is divided by 49?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167059 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0, -4, 0.079?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 3037\nAnswer: -2\/3037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1506 + -1575. Suppose 0*c - c - 70 = -b, -128 = 2*c + 4*b. Which is greater: c or t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/333 - -680\/2331. Let t = 1\/3268 - -26551\/4902. Let y = -21\/4 + t. Which is the smallest value? (a) q (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7303450, 14607034, 21910618, 29214202, 36517786, 43821370?\nAnswer: 51124954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 66 and -3.641 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 27\/21)*-2. Let s = -12838.9 + 12836.9. Let l = -1 - -5. Sort l, f, s, 0.5 in ascending order.\nAnswer: s, f, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovrrrokovb. What is prob of picking 1 k and 1 v?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -10001001?\nAnswer: -10001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 192*x**2. Let n(l) = -7*l + 8. Let u(q) = 8*q - 10. Let g(k) = 5*n(k) + 4*u(k). Give g(c(v)).\nAnswer: -576*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(396) - (sqrt(396) - -2*sqrt(396)*-2)) + sqrt(396)*-1 + -1 + -2)**2*6.\nAnswer: -648*sqrt(11) + 21438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f**2 + 2*f**3 + 0*f**2)*(-6*f + 42*f + 25*f) + 0*f**4 + 4*f**4 - f**4 in the form h*f**4 + a*f**3 + u*f + g*f**2 + t and give h.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -5*w. Suppose 4*z = 4*u - 56, -4*u = -w*z + 3*z - 35. What is the remainder when 20 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (6 - -18 - (18 - 10)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o - 40*o + 17*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/2)\/a)\/a**(-9\/7)*a*a**(-1\/4)*a**(2\/3) assuming a is positive.\nAnswer: a**(17\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 12*b**3 - b**2. Let f be k(1). Suppose -2*t - f + 3 = 0. Let q(c) = 6*c**2 + 3*c - 5. What is the units digit of q(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21681?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 0*y**2 + 1\/15*y**3 + 0 - 4*y - 1\/30*y**4. Factor c(s).\nAnswer: -2*s*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/(-60) - 48\/(-22).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.494 and 492340.\nAnswer: 492341.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.5095 - 2.7095. What is the closest to -0.04 in -4, 0.3, -17, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 165, 358, 589, 876, 1237?\n\"Answer: 3*q**3 + q**2 + 169*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 13*h = -57*h + 1303400. What is the thousands digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**4 + 95*h**3 - 4026*h**2. Let l(k) = k**4 + 104*k**3 - 4026*k**2. Let g(f) = -8*l(f) + 9*r(f). What is the third derivative of g(b) wrt b?\nAnswer: 24*b + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17066 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -74 - -42?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 + 52 + 116 = -16*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -169.4\nAnswer: 169.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00164374626 to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6826.80956 + -6827. Let t = -10860.19 + 10860. Let y = x - t. Round y to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148561 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/41, 1, -5\/4, -60, -2\/11 in descending order.\nAnswer: 1, -3\/41, -2\/11, -5\/4, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/70)\/(3\/(-273)). Suppose -z*r - 230 = -3220. What is the highest common divisor of 92 and r?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29554, 29539, 29498, 29419, 29290, 29099?\n\"Answer: -2*k**3 - k**2 + 2*k + 29555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + y**2 + 9*y - 7. Let h be n(-3). Which is the biggest value? (a) 5 (b) 1\/3 (c) h (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-4 + 3 - 1)*(-28 - 82*b + 28).\nAnswer: -328*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -8 + -6 + 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**4\/6 - w**3\/2 - w**2 + w - 15. Let m(l) = -l**2 + 2*l + 1. Give 3*i(v) + 5*m(v).\nAnswer: v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 + 9*s - 40 - 27*s + 27. Let r be h(-8). Suppose -r*w = -5*i - 470, -472 = 2*w - 5*w + 4*i. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 369100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -28, -56, -84?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-99))\/(18 - 17).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.18 + 1.18. Which is bigger: -11 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -36*d + 1. Determine q(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7 + 3\/7*i**2 - 1\/7*i**4 - 2\/7*i**3 + 4\/7*i.\nAnswer: -(i - 1)**2*(i + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2. Let f(d) = -9*d**2. Let j = 5 - 2. Let v(c) = 3*c**2. Let l(m) = j*f(m) + 8*v(m). What is o(l(t))?\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.12597 litres to millilitres.\nAnswer: 97125.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**4 - 3 + 1376*k - 1378*k + 0*k**3 - 8*k**3 to the form q*k**2 + t*k**4 + l*k**3 + i + h*k and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**2. Let d(q) be the first derivative of -33*q**2\/2 + 7*q - 151. Let h(m) = 22*m - 5. Let c(v) = 5*d(v) + 7*h(v). What is c(k(o))?\nAnswer: 33*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6*o + 4*o = 0, 0 = 4*t + 5*o + 52. What are the prime factors of -2*(-10)\/t*(-16)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c**3*v**2 - 4*c**3 + 118*c - 545*v**2 with respect to v.\nAnswer: -6*c**3*v - 1090*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2516396550 to the power of 1\/3, to the nearest integer?\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386800 is divided by 11558.\nAnswer: 5386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -115 + 85 - (-1 + -12 - 1)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 2*t**2 + 6 + 0*t**3 + 0*t + 1\/6*t**6 + 0*t**5 + 0*t**4. What is the second derivative of o(f) wrt f?\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1806577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*c - 6255*c**2 + 6255*c**2 - 3*c**3 wrt c?\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-15)*6\/(-28) - 13\/(-819).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -l + 27, 0*l = 4*l - i - 13 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -9, -1\/12, -34.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 3. Let y = -3 - c. Let a = y - -3.99955. Round a to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 608, 604, 590, 560, 508, 428, 314, 160?\n\"Answer: -l**3 + l**2 + 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000875 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 3, -2*o = 2*v + 133 - 1805. Calculate the remainder when o is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28049107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 192 - 189. Suppose 0 = r*f - 486 + 483. Solve -f - 1 = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12124 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 4 - 8) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9947577?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8216 + 224115 = p - 5*b, -2*p + b = -464662. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524.8824 years in months?\nAnswer: 6298.5888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.04 and 6577475.\nAnswer: 6577474.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122100 + 1?\nAnswer: 122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 5) to base 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*p + 13 - 34 + 42*p + 21.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**4 + 2*h + 2. Let d(f) = -57*f**4 - 8*f**2 + 2*f - 889. Let x(p) = -d(p) + i(p). Differentiate x(v) with respect to v.\nAnswer: 224*v**3 + 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.193 to one dp.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 - 3*d - 2. Suppose 8 = 3*i - 7*i. What is the units digit of k(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*c + 5 = -3*c, 0 = -3*c - 15. Let n = 13 - l. Suppose -31 + 10 = -3*w. Solve 5 = -n*d - w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118395 is divided by 592?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -393 + 161. Let q = o - -392. Does 20 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (28 - 16) - 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (-1 + sqrt(300))**2) + -2 + sqrt(3)*-2 - (sqrt(27) - (sqrt(2700)*-2 - sqrt(27)) - sqrt(27))\/(sqrt(63)\/sqrt(175))) + 1.\nAnswer: -302 - 86*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**5\/60 + 7*n**4\/24 - 2*n**3\/3 + 3*n**2. What is the remainder when 13 is divided by s(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 0.9. Let b = -6.3 - -1.3. Suppose 0 = -7*q + 18 - 46. What is the nearest to x in b, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbhsbbbq. Give prob of sequence bbh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5))**(-45\/2)*(s*s**0\/s)**(-2\/9)*(((s**(-1)*s)\/s)**(7\/6))**(-13\/5) assuming s is positive.\nAnswer: s**(-179\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19159 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 8 (c) -2\/3 (d) -24\/23 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 7550?\nAnswer: -7545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 558281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 8\/3*r**2 - 10\/3*r**3 - 2\/3*r**5 + 0*r - 11\/3*r**4 + 0 = 0?\nAnswer: -4, -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 4 - (4 - 2 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50526087.\nAnswer: 3, 16842029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(10 + -7) + (-1430)\/(-28). Let l = 62 - q. What is the common denominator of l and (-182)\/(-12) + 2\/1?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyk when three letters picked without replacement from {i: 4, v: 8, y: 2, k: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z - 16. Let f(p) = 3*p - 71. Let c(y) = 20. Let w(d) = -3*c(d) - f(d). Determine 5*l(u) + 7*w(u).\nAnswer: 4*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l - l - l - 5*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 3, 5.\nAnswer: -1, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.96 + -2.56. Let d = 10 - 2.8. Let b = -7 + d. Sort b, v, 3, 4 in descending order.\nAnswer: 4, 3, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*p = -2*p + 30, 4*f - 27 = -5*p. Let g = 1045 + -1041. Calculate the remainder when 7*6\/9*f is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**3\/3 - 2*r**2 - r - 1. Let g be n(-3). Suppose 0*u + 10 = g*u. Solve -2*f + 4*d + 4 = 0, 0*d - d - 1 = u*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h. Let v be c(0). Suppose v = 5*x - 4*x. Let a = 0 - x. Put a, -2, 4 in descending order.\nAnswer: 4, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1579075 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + -39. Let k(m) = 6*m**2 - 3*m - 4. Let v be k(j). What is the greatest common factor of v and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20841382 smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cprp when four letters picked without replacement from rpdrppdpdwdepdcd.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 5*c + 1. Calculate b(8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*f + v, f + v + 14 = -2*f. Let p be -1 + f\/(1 - 2). Determine b so that -1\/2*b**2 - b + 0 + 1\/2*b**p = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198, 192, 182, 168, 150, 128?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(200) - sqrt(200)) + 3 + sqrt(200) + 2 + sqrt(200) + 0 + sqrt(200)\/sqrt(4)*5*2 + -4)**2.\nAnswer: 80*sqrt(2) + 3201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 4*i + 37 = 0, -5*o + 0*i + 3*i - 34 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5 + 6*(-1 + sqrt(320) + -4 - -2*(sqrt(320) - (1*sqrt(320) - sqrt(320)))))**2.\nAnswer: -7200*sqrt(5) + 104307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -4*w - 30. Let m be 574\/49 + (-4)\/w. Suppose -y - 12 = -3*l + 2, -3*y - m = l. Solve -i - i - 2 = -l*b, 4*b - 2*i = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 451\/6 + -75. Suppose 0 = 2*h - 3*t - 2*t - 26, -4*t - 19 = -h. Let w = -2 + h. Which is smaller: w or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-68)\/(-7) + 4\/14 + 0. Let s(c) = c**3 - 9*c**2 - 11*c + 14. Give s(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3303453 - 2?\nAnswer: 3303451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**3 - 11*q**2 - 40*q + 4. Suppose 0 = 13*v - 17 + 121. Let t(f) = -f**3 + 3*f**2 + 14*f - 1. Let m(n) = v*t(n) - 3*k(n). Determine m(10).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 396266?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 377 + -377. Let l(t) be the second derivative of 2\/45*t**6 - 1\/30*t**5 + r*t**3 + 6*t + 0*t**2 - 1\/63*t**7 + 0 + 0*t**4. Solve l(d) = 0 for d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4223031 is divided by 1483.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 - (-3 - 1) - -25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.520161841 to five decimal places.\nAnswer: 0.52016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.16 (b) -0.08 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1) + (2 - 3). Suppose -4 = 4*h + 3*l, o = -2*h - 0*h - 5*l - 16. Let j(x) = 1 - x**2 + 1 - x + h*x - 2*x. Give j(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 3\/5 (b) -4\/3 (c) 1\/11 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -106151 - 11120?\nAnswer: -120301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1 (b) 0.4 (c) 813 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2043 + 585. Suppose -1540 = -2*a - u. Let t = 5873 + a. What is t rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2664782*p**3 + 167*p - 2119 wrt p.\nAnswer: -15988692*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 379159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + 4*u**2 - 4*u**2 + (1 - 6 + 3)*(2020449 + 6377*u**2 - 2020449).\nAnswer: -12755*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (225\/(-20))\/(168\/(-64)). Solve 2\/7*j**3 + 18\/7 + 2*j**2 + h*j = 0 for j.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -766, -3270, -7464, -13348?\n\"Answer: -845*l**2 + 31*l + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(2\/33)*b*b)*b*b**(1\/3))\/((b**4*b)\/b**(-9\/2)) assuming b is positive.\nAnswer: b**(-203\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 9:11 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2 - 2. Let f be r(-2). Let u = -8 + f. Solve 4 = -5*q + b, 0 = 2*q - 4*b + u*b + 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 100\/(-1000)*-4*5. Solve 3*x - 24 = 5*s - x, -4*x + 12 = -r*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-1))\/(1\/4)*2992\/(-14960).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -12. Let f = 7 + a. Let w(y) = 2*y**3 + 6*y**2 + 5*y - 4. Let s(t) = -7*t**3 - 17*t**2 - 14*t + 11. Let b(c) = -4*s(c) - 11*w(c). Calculate b(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 16*b + 20*b + 0*b. Let f(z) = 7*z**2. What is f(j(o))?\nAnswer: 9072*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740514213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 5) to base 16\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10620 divided by -3338.\nAnswer: 5310\/1669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(200) + -4*sqrt(8) - (sqrt(512)\/sqrt(2))\/sqrt(2)*-5)**2.\nAnswer: 3528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000286557339 to 7 dps.\nAnswer: -0.0000287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 2:51 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3668 divided by -4?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -35a4 + -46?\nAnswer: -363a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cocoooo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 12 = 0, -10*m + 12 = 2*g - 8*m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19\/3 - -113\/15. Put k, 0.5, -13 in ascending order.\nAnswer: -13, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 5*o + 21, -5*r = -o - 7. Let g(a) = -23*a**r + 14*a**2 + 10*a**2 - a**3 + 2 - 5. Calculate g(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuu. What is prob of picking 1 u and 1 v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 10. Let q be ((-4)\/(-3))\/((-8)\/36). Let k be ((-9)\/q)\/(12\/80). Let y(t) = 2*t**2 + t**2 + 1 - t**2 - 4 - 3*t**2. What is k*y(v) + 3*l(v)?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 85362 to the power of 1\/2, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10431\/18)\/19 - 25?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (312\/312)\/(27\/30)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -333*h + 6 + 17 - 23 to v*h + g and give v.\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3507452 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13013)\/13728 + (-2)\/(-64) - (47\/12 - 4)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) - (sqrt(200) + (2*sqrt(200) - sqrt(200)) + sqrt(200))\/sqrt(8))\/(2*sqrt(605) - sqrt(605)).\nAnswer: -2*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7219549223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 6. Let x be r(3). Suppose -x*y - 340 = -7*y. Is y smaller than 86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33 and -0.421.\nAnswer: 13.893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in -2\/3, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 11. Solve 37*o = 39*o - h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44591*y + 89439*y - 44267*y.\nAnswer: 581*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -281065 (base 14) to base 15\nAnswer: -1c5924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12659893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.603 rounded to 0 dps?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 192 = 3*c + 368, 2*c = -3*h + 336. Suppose -h*g + 108*g + 1104 = 0. List the prime factors of g.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 4:21 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 902.8+4\nAnswer: 906.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 379665 and 1485?\nAnswer: 1138995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -4)*2 - 58. Let c be 4\/8 + (-649359)\/k. Let q = c + -10820. Find the common denominator of -101\/26 and q.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**6\/720 - 7*x**5\/360 - 41*x**2. Factor y(j).\nAnswer: j**2*(j - 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*((-48)\/(-15))\/(-4). Let x be ((-18)\/m)\/(3\/4). Let 24*p**4 - 7*p**2 - x - 14*p**2 - 18*p**3 + 3 + 18*p = 0. What is p?\nAnswer: -1, 1\/4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**5\/20 + t**4\/3 - 2*t**3\/3 + t**2 + 17*t. Find y, given that z(y) = 0.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10222494.\nAnswer: 2, 3, 19, 89671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 9*h**2. Let q(d) be the third derivative of 12*d**2 + 0*d + 0*d**3 + 0 + 1\/12*d**4. Determine q(r(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2042 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**4\/3 + 11*r. Let q(p) = p. What is i(q(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12310966.\nAnswer: 2, 6155483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 6:16 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.043 and 0.197674.\nAnswer: 0.008499982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 721092080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 55921 + 216\/144 + 10\/(-4). Round v to the nearest 1000.\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 8*a**2 - 10*a.\nAnswer: 2*a*(a - 5)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 + 0)\/2 - 1. Let v(a) = -7*a - 9 + 6*a**2 + 17*a - 7*a**w. Is v(6) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236081376 a multiple of 856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-52)\/5)\/((-1)\/(-5)). Let w = 88 + l. What is the greatest common factor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3400*w - 2*w**2 + 442*w**3 + 1750*w + 1653*w - 1 to t + z*w + o*w**2 + j*w**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/484 + 2163\/2420. Let x = a - 107\/180. Calculate the common denominator of x and 119\/30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 k when three letters picked without replacement from {k: 3, t: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 484 + -969\/2. Which is the closest to -3? (a) w (b) -2\/7 (c) -1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -5*p**2 - 15*p - 6. Is h(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -1584*w - 292. Is n(-13) a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + z - 141 = -4, -d - z - 38 = 0. Let o = 31 + d. Let p(q) = -q**3 - 3*q**2 + 3*q + 4. What is p(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 7*j**2 - 5*j + 66. Let z be q(7). Suppose -3*l - 83 = 10. Let k = l + z. Solve -3*p + k = 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(462\/(-36)))\/(1\/(833\/21)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, 1, 4 in increasing order.\nAnswer: -6, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9 + 5 - 26\/(-7). What is the closest to 0 in 2, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2115*-0.1\nAnswer: 211.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(13\/2)*n*n*n*n\/(n*n**(1\/58)))**(-21) assuming n is positive.\nAnswer: n**(-6384\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*a - 2*r + 18, -4*r - 3 = 3*a. Let t(h) = 5*h**3 + 5*h**2 - 7*h + 9. Let p be t(a). What is the highest common factor of 21 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37499393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k + 3*k + 23*k**2 - 11 - 5 - 21*k**2 - 12*k**3 - k**4 + 14 to the form t*k**3 + l + x*k + z*k**2 + v*k**4 and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1170*h - 3*h**3 - 1170*h.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/2)\/(25\/5 + -6). Suppose 5*a - a = s. Solve c - 2 = 2*v - a*c, -10 = 2*v - 3*c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17610*s**3*u*y - 67*s**3*y**2 + s**3*y - 29*s**3 - 169*s**2*u*y**2 + 5*s + y**2 wrt u.\nAnswer: 17610*s**3*y - 169*s**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-5)\/2)*249\/498?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 8 = -13*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.468 * 39\nAnswer: 18.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3654460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 55, 31 = 23*x - 28*x + c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 504*s**2 - 467*s**2 + 868*s**2.\nAnswer: 905*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*v = 174, 2*v - 2 = 2. Let n = 49 + -72. Let t = -7 - n. What is the remainder when q is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -43 and -965\/23 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 197\/162750 and 31\/90.\nAnswer: 488250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**3\/3 + 2137*r**2\/2 + 6182*r - 5024. Find the first derivative of u(i) wrt i.\nAnswer: -2*i + 2137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a**3)**43)**(-40) assuming a is positive.\nAnswer: a**(-5160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 4:05 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 297900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)*o*o**(-2\/7))**14 assuming o is positive.\nAnswer: o**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41997 (base 12) to base 4.\nAnswer: -111001003","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Suppose 3661 - 1114 = -9*c. Let q = c - -902. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 9*d = -3759. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 + c**2 + c**2 + (0*c + 3*c - 4*c)*(-4*c - c + 3*c)*(0 - 5 + 2).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-37))\/x**(-6\/5))**0 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.002?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11 + -2 + 4)*(-8 - -7). Suppose -2*t = -v*t + 27769. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 24 = 2*r + r, -5*l = 0. Suppose 7*z = r*z - 45. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-5\/2)*b*(b*b**6*b)\/b assuming b is positive.\nAnswer: b**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 10*l - 65 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 14) in base 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x + 31. Let m be j(-13). Suppose 5*c + 3*q - 25 = 0, -c - m*q + 16 = -11. Suppose 2*f - 817 = -3*f - 3*y, c*f - 2*y - 314 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 55 - 3?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, j: 5}. Give prob of picking 2 j and 1 q.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19987 and 9108.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*k + 4 = 0, 3*j - 4*k - 4 = -0*k. Let u be j\/14 - 270\/35. Let y(h) = -h**2 - 11*h - 2. Is y(u) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 - 65 = 2*o. Let a be ((-10)\/75*o)\/((-2)\/(-230)). Let m = a + -72. Solve -w - 5*c = m, w - 4*c = 4*w + 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528*x = -533*x. Are 24\/23 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2509*x - 1181*x + 2020*x.\nAnswer: -1670*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 22 = -5*l - 17, -2*l - n - 17 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 + m - 2. Suppose -a - 4 = -2*c + 12, c + 19 = -4*a. Let s = -4 - a. What is the units digit of t(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*l + 4 - 2, l = 0. Solve -a*p - 3*z = -7*p, p = 5*z - 22 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203366698 to the nearest integer?\nAnswer: 14261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/5 and 189\/306 + (-4)\/(-6).\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 + 27\/(-6))\/((-4)\/(-1504)). Suppose -3*x + x - o = -231, 0 = -5*x + 2*o + w. What is the highest common divisor of 12 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 4*n**4 + 112*n**3 + 664*n**2 - 1680*n + 900 = 0.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8) - (-30)\/48*10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 22*i - 21. Let p be l(1). Suppose -3*v - v + 16 = 0. Let h = 7 - v. Solve h*g = 2*b - b + 14, p*b = -2*g + 13 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3 - -1.5. Let j = u + -6.6. Let z = j - 0.2. What is the second biggest value in -5, z, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50674862713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 8:48 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 5*d**2 + 5*d + 4. Let v be w(6). Let p = -1 - v. Let o = -148 + 1037\/7. Which is the nearest to p? (a) o (b) 5 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -246139 divided by 4?\nAnswer: -246139\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -2. Let m = -288 + 323. Suppose -c*d + m = 4*k, 3*k = -k - 4*d + 32. Calculate the greatest common divisor of 77 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 + 181*l**2 + 88*l - 211. Give b(-90).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -551*d - 11*d**2 + 551*d. Let m(x) = -x**2. Calculate m(n(v)).\nAnswer: -121*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39411.96 - -39412. Let p = -99 - -689\/7. Sort -27, r, p in ascending order.\nAnswer: -27, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -628 (base 9) to base 4.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 351842423.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**2 - 113815*j + 227634 = 0.\nAnswer: -113817, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzez when four letters picked without replacement from {t: 5, b: 1, z: 8, e: 4}.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5414 = -65*w + 32519. Calculate the remainder when w is divided by 140.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.341 - -0.041. Let u = -1.8 - y. What is the biggest value in 2, u, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -296 - 790*g + 296 to the form z*g + f and give z.\nAnswer: -790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 758165101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3456)\/80)\/27)\/((-8)\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by -1?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 23*y**2 + 43*y - 29. Let o(x) = -4*x**3 + 116*x**2 - 214*x + 146. Let q(w) = 2*o(w) + 11*u(w). Factor q(l).\nAnswer: 3*(l - 3)**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -5\/6778761?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01622771353 rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2013 rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -596 + -2?\nAnswer: -598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53594790 by 1307190.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -b0c9?\nAnswer: b0cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25\/275 + 1616\/11. Let b(x) = 5*x**2 - 25*x + 33. Let w be b(6). Calculate the highest common divisor of z and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -15, 0.5, -5, -0.2 in decreasing order.\nAnswer: 2, 0.5, -0.2, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -21350?\nAnswer: -21353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v = -9933 + 3633. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (21 - (-2)\/(-1))\/(-1) - -5. Let x be (-2404)\/c - ((-92)\/28 + 3). Which is smaller: x or 171?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 i when two letters picked without replacement from {f: 1, l: 6, d: 2, i: 1, b: 7}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21516 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 95*o + 58*o - 1002136 = 0. Is o a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5888)\/704)\/46 + (7256\/(-11))\/2. Let z(y) = -82*y**2 - 3*y + 3. Let n be z(2). Is r less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most as big as 80.1111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/896 and -73\/73437840.\nAnswer: 587502720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*s + 52*s = 10. Let r = 6 + -2. Suppose 3*u - 4*z = -4, -5*u + 4*z = -0*z + 4. Solve -2 = 2*k - r*k - 2*h, u = s*k - h + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/3 and 59\/26493?\nAnswer: 26493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 507 divide 89124262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -108755.\nAnswer: -1\/108755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 2:39 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, u: 1, q: 2, g: 1, j: 2}. Give prob of picking 2 j and 2 w.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1471 + 44524?\nAnswer: 43033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 34432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 1. Let s(h) = 5*h - h - h - 5 + 3*h. Determine -4*i(x) + s(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2)*64\/(-32)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 85024.17 years?\nAnswer: 1020290.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38544228?\nAnswer: 2, 3, 23, 59, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -51737 + -5?\nAnswer: -51744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336 = 11047*w - 11071*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2158701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -187, -49, -1, 96 in descending order.\nAnswer: 96, -1, -49, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**4\/42 + 8*o**3\/63 + 4*o**2\/21 - 5*o - 36. Let v(z) be the first derivative of f(z). What is w in v(w) = 0?\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 11936 + 13742. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.3 - 8.3. Let h = -157 - -1101\/7. Sort 2, l, h.\nAnswer: l, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 450 and 372934950.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44*h**3*q - 1129*h**2*q + 229*q - 2051 wrt h.\nAnswer: 132*h**2*q - 2258*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 5\/11048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 216873 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 583347\nAnswer: 2333388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67326 - -37517. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 573760 (base 16) to base 6.\nAnswer: 322302024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - k**2 + 1)*(-2 + 2 - k**2) - 3*k**4 + k**4 + 3*k**4 + (1 - 2 + 8)*(28*k**4 + 2024*k + 4*k**3 - 2024*k + k**2).\nAnswer: 198*k**4 + 28*k**3 + 7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/4)\/1)\/((-60)\/(-15)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - -58. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 18 = -i. Let h(a) = 2860*a**2 + 7*a - 16 - 2859*a**i - 9. Let k be h(-12). Calculate the greatest common factor of k and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.2224388 rounded to 3 decimal places?\nAnswer: -9.222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 430*w**2 - 239*w**3 + 69 - 31*w**3 - 295*w + 5*w**5 + 55*w**4 + 3 + 3.\nAnswer: 5*(w - 1)**4*(w + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g**3 - 13*g**2 + 47*g + 49. Let t(q) = -15*q**3 + 26*q**2 - 96*q - 98. Let s(v) = 13*f(v) + 6*t(v). Factor s(p).\nAnswer: (p - 7)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.7296 to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10908 and 604?\nAnswer: 1647108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 - 4*q**3 - 65*q**2 + 2*q**3 + 65*q**2.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 23492 = 2*b, -542*b - 5*d + 46984 = -538*b. What is the highest common divisor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -81490 and 62.9706476?\nAnswer: 81552.9706476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -13) + (-22 - (-8 + -1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*o = -30, 4*o = -q - 1 - 20. Sort -2, 5, q in ascending order.\nAnswer: q, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33932004 is divided by 115?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8078\/63 + 24\/(-108). Calculate the greatest common divisor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 8\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 2\/19, -3\/2, -928, 3, -0.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166949 is divided by 1184?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*b*i*s - 217262*b*x + 7*i*s + 48293*s*x wrt b?\nAnswer: -5*i*s - 217262*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -56 in decreasing order.\nAnswer: -3, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/((11 - 3)\/(-16)). Let p = n + 895. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a - 147. Let h(n) = 3*n - 127. Let i(s) = -7*h(s) + 6*u(s). Determine i(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -q + 2*c, -3385845 = 4*q - c - 3385846 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5*(sqrt(11) + (sqrt(11) - sqrt(539))))**2 + sqrt(11) + (sqrt(11) + -5*sqrt(55)\/sqrt(5))**2 + -1 + 5.\nAnswer: -149*sqrt(11) + 7064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001551614489 rounded to 5 decimal places?\nAnswer: -0.00155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 121364356 to the power of 1\/2, to the nearest integer?\nAnswer: 11017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 take away 805065343.6362?\nAnswer: -805065342.9362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14526070 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100011100111010000 (base 2) to base 15.\nAnswer: 80d61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 462089301 to the nearest integer?\nAnswer: 21496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**2 - 769174*i + 271767640 = 0.\nAnswer: -384940, 353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*s + 4*s. Let d = 2 + s. Let q(p) = -p**3 - 9*p**2 + 31*p - 36. Let u be q(-12). What is the greatest common factor of d and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 14*n - 18. Suppose a - 14 + 27 = 0. Give l(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-6)\/(-9) + -1). Suppose 2*z - t - 7 = -4*m, 5*z + 15 = 0. Suppose l + 35 = m*r - 51, -36 = -2*r + 4*l. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 1 - -180)\/(4\/8). Calculate the highest common factor of p and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -21*d**2 + 7*d - 7. Let l = -5 - -9. Let g(u) be the second derivative of -11*u**4\/12 + 2*u**3\/3 - 2*u**2 + 2598*u. Give l*k(t) - 7*g(t).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -11592\/19, 9, 103 in increasing order.\nAnswer: -11592\/19, -1\/5, 9, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 20 + 15 = -3*z, 3*j = 4*z + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 604 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffviiiiviv. Give prob of picking 1 f, 1 i, and 1 v.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -439.79 - 2.\nAnswer: -441.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 2156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 - 17600*v\/7 + 5667042\/7.\nAnswer: -2*(v - 311)*(v + 9111)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/37))**(-48)*d*(d**4*d)\/d*d*d*d**(-45)*d assuming d is positive.\nAnswer: d**(-3241\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/55172403 and -89\/225654.\nAnswer: 110344806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18183 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/55)\/(((-7)\/(-112)*-6)\/(255\/2516))?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 2)*(1 - 2). Suppose -l*m = -3*m. Suppose -8 = -3*v + 2*f, 0 = -2*v - 0*v - 5*f - 1. Put m, v, 4 in decreasing order.\nAnswer: 4, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 20*i + 10. What is the units digit of u(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/117*657\/511?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10034220443 (base 5) to base 15.\nAnswer: d3db18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3947449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/6)\/((-5)\/300*-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 10*u + 5. What is h(-12)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1042475 and 58.\nAnswer: -6.046355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*v, -v + 35 = -2*s + 2*v. Let f = 22 + s. What is the remainder when (2 + 1)*(5 - -10) is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-25)*(-6)\/(-12)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - l**2 + l + 26. Give j(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.124315 - -0.6797688?\nAnswer: 0.5554538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rpcjpjfa. Give prob of sequence ffpc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 i when three letters picked without replacement from {k: 2, z: 1, i: 1, l: 1, o: 3, g: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Express -15*c - c**2 + 32*c - 3 - 5*c in the form z*c + s + y*c**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -94, -139, -184?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*r - 16702 + 16086 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02365887 and 1.\nAnswer: -0.02365887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-18) + 14\/18 + 1. Solve -20 = -4*y + u*y + 5*s, -5*y + 4*s = -16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23859*c - 90 = -23854*c for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**3\/7 - 4464*f**2\/7 + 13340*f\/7 + 2544 = 0. What is f?\nAnswer: -1, 4, 1113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fddfyydddyddy. What is prob of sequence dffy?\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -17. Let q = g - -3. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 15 = -0*d. Solve -5*k = -d*k - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -384, -3231, -11038, -26289, -51468?\nAnswer: -89059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2571, 3, 3\/8, -3, -21 in descending order.\nAnswer: 2571, 3, 3\/8, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/60 and 43\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaarararrdada. What is prob of sequence ar?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36042767 and 17944?\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1441360 or -1441375?\nAnswer: -1441375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4 + 18\/(-4). What is the remainder when 68 is divided by (-140)\/(-6) + o\/12?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*r = -6. Suppose -w - 2*w + 34 = -m, r = -2*m. What is the greatest common factor of w and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1251*l - 20475 + 1578 = 26826 - 4440 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 11*d + 277. Let r(b) = -10*b + 212. Determine -3*i(p) + 4*r(p).\nAnswer: -3*p**2 - 7*p + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3481*p = 3451*p + 1380 for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from {s: 7, f: 5, d: 8}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1676133 and -37289.1.\nAnswer: -1713422.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -0.77\nAnswer: 7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32914 by -32914.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -5. Let s be 3\/2*56\/6. Let h(n) = -6*n**2 + 21*n - 2*n**2 + n**3 - s*n - 9. Determine h(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 + -485\/11. Let g = -34 - -33. Let i be (-18)\/81 + (-1)\/(-3). Which is the closest to g? (a) -5 (b) i (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 394 = -1996. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(2*(-2)\/(-3)*3\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8888 and 8383?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1667908*u - 37. Let v be r(7). Let j = -8155319 + v. What is j rounded to the nearest one hundred thousand?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1704 is divided by 560.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**0*s)**(-25)*(s**(1\/3)*s)**11 assuming s is positive.\nAnswer: s**(-106\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 4*x. Let h(z) = z. Give -11*h(a) + 2*u(a).\nAnswer: 2*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -685.9 plus 0.2?\nAnswer: -685.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 = -158*l + 148*l. Suppose -17*s + l = -16. Let r(n) = -n + 4. Calculate the lowest common multiple of r(-5) and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2010 by 42667.\nAnswer: -2010\/42667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 - 144 + 16 - 19 + x as z*x + k + q*x**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1891989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 1\/15*q**6 + 0 + q + 0*q**4 + 0*q**3 + 1\/27*q**7 + 1\/45*q**5 + 0*q**2. Solve x(f) = 0 for f.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 14*t - 22*t = -264448. What are the prime factors of t?\nAnswer: 2, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3414143111 (base 5) to base 9\nAnswer: 15215058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*p + 2*h, -h = -5*p + 2*h + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 - 57. Let k be 3 - ((810\/(-39))\/(-5) + -1). Which is the closest to 1\/3? (a) -1\/4 (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22245\/26694*-11*2\/20?\nAnswer: -11\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**2 - 298*a**3 + 15*a**2 - 7*a**2.\nAnswer: -298*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -76*5\/35*((-70)\/(-4))\/(-5).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by 2\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 75976900 rounded to the nearest one hundred thousand?\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06942534 and 5?\nAnswer: 0.3471267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-54)\/(-252)*-7*(-1936)\/6. Suppose 0 = -2*i + 28*m - 32*m + d, -2*m + 6 = 0. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46798425 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 1004 + 2616 = -4*z, -2*a + z - 791 = 0. Let c be a\/(-11) + (-14)\/77. Solve u = -q + 8, q + 3*q = -5*u + c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -699649683, -699649684, -699649685?\nAnswer: -699649686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (221 - 3323*i + 73 + 3310*i)*(0*i**2 + i**3 + 0*i**2) + 1 - 1 + i**4.\nAnswer: -12*i**4 + 294*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2975.97254 + 2976. Let k = 0.028 - t. What is k rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*v**5 - 42*v**3 - v**5 + 101*v**3 - 131*v**2 - 124 + 132*v**2 wrt v.\nAnswer: -240*v**2 + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 17087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from {x: 1, h: 1, d: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 477631 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(19) - (5 + sqrt(57)\/sqrt(3) + sqrt(19) - sqrt(19))**2) + sqrt(19)).\nAnswer: -176 - 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 44, 10, -28, -70, -116, -166?\n\"Answer: -2*p**2 - 28*p + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 377, -3, -2, -3206 in decreasing order.\nAnswer: 377, -2, -3, -3206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.154 - -0.012456.\nAnswer: 20.166456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, a: 5, j: 5}. Give prob of sequence azjz.\nAnswer: 25\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -2*n**7\/315 + n**6\/45 - n**5\/30 + n**4\/6 - n. Let j(a) be the third derivative of o(a). Factor j(i).\nAnswer: -4*(2*i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 8:41 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/320244 and -55\/106748?\nAnswer: 320244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 209 - 205. Suppose 5*q + 4 = -2*c - c, -q = b*c - 23. Solve 2*g = 4*i + 2, 3*i - 5*g = -i + c for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.17 - -0.47. What is the second smallest value in -3, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2. Suppose 2*u = 5*i - 8, 0 = 3*i - 5*u - 11 - 9. Let r(z) = i - 2*z + 4 - 4. Determine x(r(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/10 + ((-126792)\/(-20) - -1). Round c to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -332*d - 72. Let z(q) = 167*q + 33. Give -6*f(y) - 13*z(y).\nAnswer: -179*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23905985 a multiple of 1471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/7 + 345432*f\/7 + 690852\/7.\nAnswer: 3*(f + 2)*(f + 115142)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5 + -1*1)\/(59\/(-1593)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 4 - 23 = 0. Suppose -5*c + 5*n + 41 = -409, f*c = -5*n + 270. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**3 - u**2 - 31 + 31 - 2 - 11*u to the form w + n*u**2 + j*u + b*u**3 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 2, s + 3*y - y = 0. Let l be 23\/s*(-1 + 3). Let x = l - -42. What is the common denominator of -19\/8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-56)\/(-32)*2\/(-3). Let u = -17\/12 - w. What is the closest to 1\/4 in 0.04, -3, u?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -3, 0, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.71 to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104284?\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2599*y**2 + 73728 - 84*y**3 + 2*y**4 + 9956*y + 10012*y - 20*y**3 - 2015*y**2 = 0.\nAnswer: -6, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*a - 34215025, 0*a + 2*a = -5*b - 22809975. What is a rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**4 + 2471368*d**2 - 5861193*d wrt d.\nAnswer: -12*d**2 + 4942736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-140)\/(-22) - 4\/88*0. Which is smaller: 5 or m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (((-5)\/(-2))\/(-1))\/(13 + 172785\/(-13290))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/3))**47)**(-31) assuming a is positive.\nAnswer: a**(2914\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3340 and 67468.\nAnswer: 337340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -181061, -362238, -543415, -724592?\n\"Answer: -181177*o + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) 0.4 (c) 66 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1795*k - 1790*k - 4*i - 34, 2*k + i + 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -6. Let f be 0 + 9\/t + -1. Suppose 12 = 5*p + 3*c, 0 = f*p - 3*c + 9 + 3. Solve 3*l + l - 20 = p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 175309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 at least 258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 26 + (0 - 10) + -14.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s + 40 = -3*r - 38, 230*r - 4 = 3*s + 107*r + 116*r for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 121*j**8\/1176 + 4103*j**7\/735 + 544*j**6\/7 - 6144*j**5\/35 - 2824*j**2. What is x in b(x) = 0?\nAnswer: -192\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4349027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 5*m + 321, -23*m + 28*m + 214 = 2*x. What is the remainder when 11339 is divided by x?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -544*k - 1. Is j(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*p - 23, 4*n + 2*p + 6 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -508*r**3 + 122*r**3 - 189*r**3 - 161*r**3 - 124*r**3.\nAnswer: -860*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 0*q + q)*(-1 - 3 + 5) + (6 - 4 + 8)*(3*q - q - 4*q).\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3296 is divided by 205.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-25))\/((-7)\/((-175)\/10))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 13*i**2. Let h(o) = o**2 - 19. What is h(u(q))?\nAnswer: 169*q**4 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3\/23 + 210*b**2\/23 + 7350*b\/23 + 85750\/23 = 0. Calculate b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.1 (b) 6 (c) -4 (d) 1 (e) -1 (f) 0.67506\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/16 and 83\/1906.\nAnswer: 15248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*t + 0)*(-35 - 36 + 26 + (-4 + 2 + 0)*(-2 + 3 - 3)).\nAnswer: 82*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 h when three letters picked without replacement from {w: 4, h: 2, q: 2, u: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*a**3 - 44*a + 9*a**3 + 38*a + (3*a**2 - 2*a**2 + 2*a**2)*(a - 2*a + 2*a).\nAnswer: -14*a**3 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7831, -15660, -23489, -31318?\n\"Answer: -7829*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 711 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -281\/5 or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**2)**(1\/18)*m*m**(-1\/10)*(m**(2\/7)\/m)\/m*m**7\/m*((m**(-1\/3)*m)\/m)\/m*(m**(-2\/21)*m)\/(m*m**(-4)*m*m*m) assuming m is positive.\nAnswer: m**(3137\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -436545803 - -10.4.\nAnswer: -436545792.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2919 + 389 = 4*p, 3*b = -4*p + 2476. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 21*l**2 + 20*l + 20. Let d be u(10). Suppose 3*t + d - 2347 = 0. Solve 5*y = -t + 34 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.17 - -0.17. Let w be (1 + 4\/(-3))*2. Let d = 4.4 - -0.6. Which is the nearest to w? (a) d (b) 0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + -79)\/(3 - (4 - 3\/6)). What is the third biggest value in q, 0.4, 3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 119\/((-26656)\/384)*(168\/9)\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11 - -8) + (1639\/(-209) - -11))\/(4 - 1).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-3)\/r)\/(r*r**(-4\/5)*r*r))\/(r**(-3\/2)\/r**(-2)))**(-1) assuming r is positive.\nAnswer: r**(67\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 359722447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 0*o**2 + 7*o**2 - 7*o - 6*o**2 - o**3 - 3*o**2. What is the first derivative of q(t) wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 281*g**2*y**2 - 6*g**2*y + 5*g*y - 2*y - 11 wrt y?\nAnswer: 562*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -4)*(520\/(-20))\/13. Which is smaller: 16 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49 + 15 - 127*z - 16*z + 20 + 18 in the form m*z + k and give m.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 451204 and -6.4?\nAnswer: -2887705.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -6079*m**2. Let y(h) = -3*h**2. Give r(y(f)).\nAnswer: -54711*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1508241 is divided by 157.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11440648507*x + 3*x**3 - 11440648507*x.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7 - (-2 - -1) - (43 - 53). Let h(o) = 2*o**2 + 2*o + 7. Let f(y) = -y**2 - 2*y - 6. Give s*f(c) + 3*h(c).\nAnswer: 2*c**2 - 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + k**2. Let p be x(2). Let h be (-2 + 3\/4)*p. Let f be (32\/20)\/((-4)\/(-10)). Solve -u - f*u + i = h, -5*i = 25 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 30*d - 165 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 156234569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2 + 2 = 0. Let b be 92\/20 + n\/(-10). Suppose m = 5*z + b*m + 113, 2*m = -4. Round z to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 670*s**2 - 927200*s - 18772000.\nAnswer: 5*(s - 380)*(s + 20)*(s + 494)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 183169535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 19567504?\nAnswer: 39135008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18758893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.497 rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/17 + 4*z**3 + 130*z**2\/17 + 64*z\/17.\nAnswer: 2*z*(z + 1)**2*(z + 32)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1009480 and 46.\nAnswer: 23218040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275 = -54*p + 59*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) - (sqrt(1008) + 1)*-3) + 2)**2.\nAnswer: 480*sqrt(7) + 16153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2 - 2*v - 2. Let t be x(3). What are the prime factors of t\/(-2) + 7\/(-14)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(2\/7)*l*l)\/l)\/l*l*l**(3\/11)*(l**(2\/5)\/l*l)**(-1\/23) assuming l is positive.\nAnswer: l**(17441\/8855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-24) - 17\/(-4). Determine t so that 2*t**5 - 15 + 12 + 16*t**q - 31*t**3 + 56*t**2 + 34*t + 11 + 75*t**3 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4499 + 1)\/((-3)\/(-62)). Round t to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 6, -0.5, -0.3, -56\/41?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43 or 24?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/2)\/((-3)\/(-894)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v*v**(2\/25)\/v*v)\/v))\/(v**(4\/5)*v)*v**(-15)\/(v*v**6) assuming v is positive.\nAnswer: v**(-597\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*x**2 + 30*x**2 - 55*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14952 - 627869\/42. Find the common denominator of g and 34\/3*(-5)\/(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/2807441?\nAnswer: -2\/2807441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -106.52 and -12327.\nAnswer: 1313072.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/65078 and -19\/60072.\nAnswer: 780936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(171))**2 + sqrt(19) + -3 + (sqrt(19) - (sqrt(19) + -1)) + 3*(2 + sqrt(304)))*6.\nAnswer: 78*sqrt(19) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + f - 6 = 1, 5*d + 2*f = 29. Suppose 2*j - d + 1 = 0. Solve -j*t - 3 = 5*z - 38, 20 = z + 3*t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d + 3*d + d)*(3*d + 0*d - 4*d).\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3967735*w**2 + 2*w - 20 + 20.\nAnswer: -3967735*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1949 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -290532*g + 1743168. Give u(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 63*i**3\/2 + 99*i**2\/2 - 14*i + 245. Let n(o) be the first derivative of b(o). What is the derivative of n(s) wrt s?\nAnswer: 189","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*v**3 + 14*v - 31*v**3 + 86*v**3 - 137*v**3.\nAnswer: -285*v**3 + 14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17\/34 - (-96)\/64. Factor 15*b + 3\/2*b**h + 24.\nAnswer: 3*(b + 2)*(b + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2131676047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -29016 + 8971*f + 29016 in the form j + g*f and give g.\nAnswer: 8971","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1035 = -13*p + 10*p, 5*m + 331 = p. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -1097*x + 131166. What is k(120)?\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by -1043.\nAnswer: 26\/1043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 41. Let d = 40 + r. Suppose -325 + d = -5*y. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18486875 divided by -6.\nAnswer: 18486875\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 t, and 1 o when three letters picked without replacement from {o: 1, t: 1, y: 2, w: 1, f: 1, c: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 9:50 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*j**2 - 104*j**2 - 11*j**2)*(-5*j + 5*j + j**2) in the form f*j + p*j**3 + l*j**2 + n*j**4 + x and give n.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2525, -2430, -2281, -2084, -1845, -1570, -1265, -936?\nAnswer: -589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-30)\/4))\/(107\/(-1284))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7\/(-2))\/((-20)\/120). Solve -4*b + h = z, 3*h - 22 = b - 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162194 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1411, 2820, 4229?\n\"Answer: 1409*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40640 + 53373. Is b bigger than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqfkqekmmqkqkmqm. Give prob of sequence memq.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 644268743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-7) + 128\/(-42)*-36. Suppose 3*n = -4*k + 1234, n - p = -k + 198. What is the remainder when k is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 11. Let b be q(5). Let j be b\/(-45) - (-2)\/15. Suppose j*t - 2*t - 3*z + 23 = 0, -4*t + 3*z + 19 = 0. Solve -t = l - v, v + 0 + 1 = -3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -737585 times 1.6?\nAnswer: -1180136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 18*o**3 - 13*o**3 - 6 - 3*o**3 - 4*o**3. Let n be w(3). Is n\/68 + (-430)\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3214 divided by -10?\nAnswer: 1607\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.81 - 685051.\nAnswer: -685052.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1520 - -1441.1. What is z rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 9 - 1 = 0. Solve -b*j = -6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 - -0.44. Let y = -44 - -43. Which is the second smallest value? (a) -2 (b) y (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(-3*x**2 + 2*x**2 + 2*x**2) - 10 - 97*x**2 + 7 + 4.\nAnswer: -99*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 19*c**3\/3 - 9*c**2\/2 + 101*c - 386. Find the first derivative of z(w) wrt w.\nAnswer: 38*w - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -111211?\nAnswer: 111221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g - 237 + 62 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**5 - r**5 + 3*r**5 - r**4 + r**4 - 3*r**5 - 5*r**5 + 3*r**5 + r**5 + (-r - 5*r + 3*r)*(-2*r**4 + 4*r**4 - 4*r**4).\nAnswer: 3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.27 and -206?\nAnswer: 55.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 563920 and 95?\nAnswer: 563920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1403.\nAnswer: 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**3\/9 - 2116*s**2\/9 + 8488*s\/9 - 944 = 0.\nAnswer: -1062, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43*y**3 + 76*y**3 + 30*y**3 + (-3*y**2 + 2*y**2 + 0*y**2)*(4*y - 4*y - 3*y))*(6 + 1 + 1) in the form d*y + z + t*y**3 + c*y**2 and give t.\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 - 8*l**2 + 7*l - 2. Calculate y(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 5*z + 5. Let r be z + (-2 - 1)\/1. Suppose -r*j + 364728 = 104728. What is j rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**0\/n**(1\/2))\/((n\/(n**(-5)*n))\/(n**(2\/5)*n)))**33)**18 assuming n is positive.\nAnswer: n**(-12177\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 9*x**2. Let s(q) be the third derivative of -4*q**5\/3 + 66*q**2. Calculate v(s(i)).\nAnswer: 57600*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 0 + 110 - 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*l**2 + 45*l**2 + 9*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, r: 4, h: 1, v: 3}. Give prob of sequence vvvj.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 559*m**3 + 2*m + 1. Let l be i(-1). Round l to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317 = 55*r - 233. Solve r*t - t = 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4044076, 8088170, 12132264, 16176358?\nAnswer: 20220452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78588 divided by -374.\nAnswer: -39294\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.8 + -1.7. What is h rounded to 0 decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 33 = -5*g + 40. Solve 2*l - g = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 194, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 3\/5, 1329, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 746129 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/(-8))\/(15\/12). Suppose 5*i = -4*d + 385, -v*d + 3*i + 193 = 6*i. Suppose d = 3*b + 8. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1 (b) 13 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -278*f - 39. Let w be n(8). Let u = w - -9105\/4. Calculate the common denominator of 54\/(-40)*4\/(-6) and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26828 + 167*r**2 - 26828.\nAnswer: 167*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1404\/9)\/6)\/(16\/8).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/288)\/(((-4)\/(-6))\/(-2))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -104 + w - 3*w + 105. Give b(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 667 is divided by 134?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 + -1)*(-12)\/14. Let l(d) = -2*d + 3. Suppose 25 = -5*y, 3*t = -21*y + 24*y. Let f(p) = 2*p - 4. Calculate m*l(c) + t*f(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(4\/2)*1. Suppose 0 = n*s + 2 - 9. Suppose -17 = -7*u - 3. What is the fourth biggest value in u, 5, s, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91770 = -103*s + 94654 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 531997586.0000061 + -531997648. Let l = -62 - w. What is l rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + 0*l + l)*(-3 - l**2 + 3) + 3*l**3 + 0*l**3 + 3*l**3 + (0*l - l + 2*l)*(111*l**2 + 404*l - 404*l) to a + c*l + k*l**3 + w*l**2 and give k.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 49 - 11. Calculate the common denominator of (-214)\/y + (17 - 16) and -125\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/4)\/(3\/(-1566)). Let x be (-1)\/(q\/(-129) + 2). Let r = -30 + x. What is the greatest common divisor of r and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {x: 5, g: 7, s: 1, d: 3}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 245 + -241. Let r = 288 + -293. Sort y, r, 5, 3.\nAnswer: r, 3, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 1, -8\/19, -1\/5, 0 in increasing order.\nAnswer: -10, -8\/19, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 253235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 0.02 (c) -1 (d) 2 (e) -27 (f) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -778091, -3112385, -7002883, -12449585, -19452491, -28011601, -38126915?\nAnswer: -49798433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -691, -1379, -2071, -2767, -3467, -4171?\nAnswer: -4879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 976201?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 6*s - 6. Let v be n(4). Let q(p) = 5*p**2 - 1. Let i be q(1). Suppose -2*u = -v*f + 36, -i*f + 72 = -0*u + 4*u. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + (sqrt(91) - sqrt(91)*3))\/sqrt(7))**2 + sqrt(13) + (sqrt(104)\/sqrt(4))\/sqrt(2).\nAnswer: 2*sqrt(13) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 0 - 1\/6*u**3 + 29\/2*u**2 - 85\/3*u = 0.\nAnswer: 0, 2, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*f**4 + 1 + (-8*f**2 + 4*f**2 - 2*f**2)*((-f + 2*f + 0*f)*(-2*f - 3 + 3) - 3*f**2 - 1 + 1) as a*f**3 + w + t*f**4 + l*f + g*f**2 and give t.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**2 - 7*z + 6. Suppose c = 2*c - 2. Let l(k) = -k**2 + 0*k**c + 1 + k - 2*k. Give 6*l(d) - y(d).\nAnswer: -2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 13*p**4 - 6*p**3 + 6*p**2 - 8. Let b(i) = 39*i**4 - 17*i**3 + 17*i**2 - 23. Let t(s) = 17*a(s) - 6*b(s). Differentiate t(y) with respect to y.\nAnswer: -52*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 9:09 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40405383?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7803938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-24) + (-4)\/14 + (-8265)\/(-532). Solve f = -5*b + 28, -2*f - 14 = -i*b + 11*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**2 + 2040*d - 61875 = 0. What is d?\nAnswer: 33, 375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 16*p. Let y(b) = -3949972*b**2. Give y(v(q)).\nAnswer: -1011192832*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -24*l - 4*i + 64, -5*l - 4*i + 40 = 7*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 - 52 = -5*h, -2*h + 15123 = w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**4\/4 + 7*i**3\/3 + i**2\/2 - 9*i + 59. Suppose 0 = 3*j + 61 - 40. Give k(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 3:58 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1390, -5431, -12174, -21625, -33790?\nAnswer: -48675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbrrrbr. Give prob of sequence rrbb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82115?\nAnswer: 5, 11, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2557 - -5?\nAnswer: -2552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 13) to base 12\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 99281*c*v - 3608*v + 1 wrt c.\nAnswer: 99281*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 1252, -4, 0.5 in decreasing order.\nAnswer: 1252, 4, 1, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -6. Let x be 1 - ((-3 - -4) + -36). What is the highest common divisor of f and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33.8863 + 0.1137. Which is the nearest to n? (a) -0.5 (b) 1\/4 (c) 1.2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/9 - 1352506*f**2\/3 - 5410000*f - 16229976.\nAnswer: -2*(f + 6)**2*(f + 2028747)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7940891.33 from 0.06.\nAnswer: 7940891.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -101, -225, -397, -617, -885, -1201?\nAnswer: -1565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 169 = -111. Calculate the greatest common divisor of w and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-48)\/(-224))\/(6\/8). Put r, -8, 5 in decreasing order.\nAnswer: 5, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6 = -y, 0 = -y + 32*n - 35*n + 8. Is y less than 43\/46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46298847 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76315.\nAnswer: 5, 15263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3817650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/1664 and 81\/4342624?\nAnswer: 17370496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w - 10. Solve 0 = p - 6 + w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**3 - 7*h**2 + 4*h + 4. Let p(j) = 6*j**3 + 14*j**2 - 9*j - 9. Calculate 9*a(o) + 4*p(o).\nAnswer: -3*o**3 - 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0. Suppose -k + 3*k - 3360008 = z. Suppose 2*s - 3*s = c + 420004, 4*s + c = -k. What is s rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2. Let i be g(2). Let d = i + -2. Let a = 4 - d. Calculate the least common multiple of a and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*d**2 - 1565*d - 1564*d + 3131*d - 696*d**2.\nAnswer: -538*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5793841497.\nAnswer: 3, 1931280499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11022 - 201?\nAnswer: 10121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/(-3)*(3 + 0). Suppose 1 = y, 3*v - 12 = v - 4*y. Suppose -v*p + r = p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 5*o**2 - 3*o + 3. Let w be q(4). Let x be (-4)\/(-2) + (6 - w). Solve 3*n + t - 7 = x, -5*t = -4*n - 21 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5881827 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**3\/3 - 2*m - 70. Let a(n) = n**2 + 7*n + 6. Let t be a(-6). Let f(i) = 0 + t - 4*i. Determine b(f(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -25, -636 in decreasing order.\nAnswer: 0, -3, -25, -636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252 and 420?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 10. Let a be y(0). Let t = a + -6. Solve -8 = -t*s - 0*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7090083397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16007432 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/((y\/y**(-2\/5))\/y))\/(y*y**(1\/17))*(y*y**(1\/2))**23 assuming y is positive.\nAnswer: y**(5957\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-396)\/484)\/(207\/46))\/(2\/(-176)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*b*r**3 + 18*b*r**2 - 4*b - 33*r**3 + 1576 wrt r?\nAnswer: -42*b*r**2 + 36*b*r - 99*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 2*g**6 - 21*g**2\/2 + 20. What is the second derivative of t(y) wrt y?\nAnswer: 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 176*s + 2. Let u(k) = -4*k + 8. Give u(c(l)).\nAnswer: -704*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**3\/l)**(-37)\/(l**(-7\/4)\/(l**(-11)*l)) assuming l is positive.\nAnswer: l**(-477\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -41. Suppose 0 = 5*k - 5*u - 5, -9*u = 2*k - 4*u - v. What is the second derivative of -35*g**k - 6*g + 38*g + g**2 wrt g?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 10, -5.\nAnswer: -6, -5, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4966 or 5014?\nAnswer: 4966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 401093 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**5\/15 - 5*f**4\/12 + 8*f**3\/9 - 2*f**2\/3 + 40. Factor r(b).\nAnswer: b*(b - 2)**2*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 492 - 489. Let j(b) be the third derivative of -3*b**6\/10 - 7*b**5\/15 - 14*b**3\/3 - b**2. Let w(u) = 4*u**3 + 3*u**2 + 3. Determine n*j(k) + 28*w(k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -8*j**3\/3 + 26. Let m(a) = 2*a**2. What is m(q(k))?\nAnswer: 128*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180, 164, 134, 84, 8, -100, -246?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -172, -831, -1936, -3493, -5508?\n\"Answer: -w**3 - 217*w**2 - w + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -11*i + 17. Suppose 7*j - 4 = 3*j. Suppose 2*u - j = u. Let p be 3\/(-3) + 5*(u + -2). Let o(l) = -5*l + 8. Give p*f(t) + 13*o(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6595 is divided by 98.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 - 53 = -r - 10*z + 66 - 157, -9 = -3*r - 3*z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/12*(-8)\/(-12)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -23?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 2\/7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o**2. Let f(z) = -16*z. Calculate u(f(h)).\nAnswer: -1536*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4608 - 32314\/7. Let a = 189341\/21 + -9018. Find the common denominator of a and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000798884396 to six dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v. Let f(k) = 6*k - 6. Calculate 2*d(t) - f(t).\nAnswer: -2*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 2*q - 4 = 0. Let s = q + 34. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96886 at most -1082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -3554535 = -3554536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 67398 divided by 320?\nAnswer: 33699\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 665 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhnmhjkjhkjjhhhkn. Give prob of sequence kn.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 6134732 - 8*i**2 - 6134732 + 8*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**2 - 6*c**3 - c**2 - c**2 in the form d*c + w*c**3 + p*c**2 + g and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*p**2 + 19*p + 9 - 19*p + p**2 to h*p + m + r*p**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005067 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 17129 = 3*z + 3*m, -4*z - 34256 = -4*m. Let u be 36\/(-48) - z\/4. Round u to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12710988 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2. Let y(x) be the first derivative of 9*x + 1 - 9*x - x**3. Give s(y(c)).\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -4. Let b = -1.041 + 0.941. What is the nearest to b in -5, t, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8068, 8072, 8084, 8110, 8156?\nAnswer: 8228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2\/4 + 4715*c\/2 + 22231225\/4 = 0. What is c?\nAnswer: -4715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -413 - -809. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004565227 rounded to seven decimal places?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2186 = -2200. Let z(v) = 7*v - 4. Let m(c) = -8*c + 3. Give g*z(i) + 6*m(i).\nAnswer: i - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/6 + 79*z**2 - 3232*z\/3 + 1840.\nAnswer: -(z - 460)*(z - 12)*(z - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13897 = -67*g + 63287. What is the highest common factor of g and 360?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65 + 53. Let g(k) = -k**3 - 12*k**2 - 14. Let y be g(f). Calculate the remainder when 96 is divided by y\/(-21) - 73\/(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 589 = -4*m, -4*m + 3*z = -z - 584. Suppose -m = -3*n - 135. Solve 0 = -5*t + 15, -n*k = 2*k + t - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 702 and 486?\nAnswer: 6318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14 (b) 3 (c) -2\/5 (d) 4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/6)\/(-1) - (-444)\/9. Let m = h + -37. Calculate the least common multiple of m and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-33) - (-1496385)\/121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-2)\/8*3\/(114\/(-380)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 31. Let p be (14\/(-49))\/(v\/28). Suppose -24*u = -23*u - p. Solve -2*r + d = -u*r + 7, -5*d = 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*a**(1\/12)\/a)*a*a*a\/((a*a\/a**(-1\/11)*a*a)\/a)*a*((a\/(a\/(a*a**20)*a))\/a)\/(a\/(((a*a\/a**20)\/a)\/a)) assuming a is positive.\nAnswer: a**(-23\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in -5, -4, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21436068, 21436054, 21436026, 21435978, 21435904?\n\"Answer: -v**3 - v**2 - 4*v + 21436074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**6 + 2*t**3 + t**2 + 3. Let s(p) = 12112*p**6 - 18*p**3 + 2103*p**2 - 27. Let r(h) = s(h) + 9*x(h). What is the third derivative of r(i) wrt i?\nAnswer: 1452360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.5 (b) 5 (c) -6\/35 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 5 - 4)*(4 + 2 - 4)*(-2*y + 2*y + 2*y) in the form t + v*y and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, l: 3, s: 7}. What is prob of sequence ols?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q**3 + 2*q**2 - 5*q + 22. Let r(l) = -l**3 + l**2 + l - 1. Let m(o) = -6*r(o) - u(o). Let f be m(9). Let z = f - 35. Is z a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 236953 or 0?\nAnswer: 236953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1. Let g(t) = t + 4. Suppose 0 = 2*l + k - 7, 0 = -2*l + 6*l + 3*k - 17. Calculate l*g(i) + 9*y(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90416 and 192?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 28. Let j(u) = u**3 + 8*u**2 - 4. Let f be j(k). Let y be 32\/14 - f\/(-14). Which is the third smallest value? (a) -0.3 (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-160)\/9 - -2 - 6\/27. Let l be 6\/(-4)*q\/(-6). Put 0, l, 1 in descending order.\nAnswer: 1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(931) + -1)**2 - sqrt(931) - ((-2*sqrt(342) - sqrt(342))\/sqrt(2))**2.\nAnswer: -605 - 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2689 and 1.9?\nAnswer: 2690.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134243 is divided by 134079.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpqhopxpoxwxppq. Give prob of sequence oo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 - 109*b - 162. Calculate the smallest common multiple of 546 and z(56).\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 219. Let b = v + -159. Is b >= -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27109*r**4 + 5*r + 54180*r**4 - 27110*r**4)*(3 - 2 + 1).\nAnswer: -78*r**4 + 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (2 + 2 + -1 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612)*1 + 3.\nAnswer: 3 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/16 + ((-1076103)\/3720)\/203.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + 16. What is the remainder when w is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1386042 divided by -541.\nAnswer: -2562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 367*l - 3. Let d(y) = -2*y**2 - 30*y - 12. Let p(k) = 5*k + 2. Let q(m) = d(m) + 6*p(m). What is v(q(b))?\nAnswer: -734*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11 + 12\/(-3) - 3. Suppose 3*z = -3*h + h + 4, 2*h = -z - v. Is z\/4*-67*-5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 9 - 1. Find the second derivative of -251*c**y + 41*c + 124*c**5 + 128*c**5 wrt c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23.2? (a) 0.1 (b) 2\/61 (c) -2\/19 (d) -2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 0 + 0*k - 6*k**2 - 4 + 8 - 11*k. Let s(a) = a**2 + 2*a - 1. Calculate -4*l(g) - 22*s(g).\nAnswer: 2*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 23010 (base 6) to base 5\nAnswer: 100441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 3*x**2 + 3*x - 9. What is r(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 14*n = 12. Let r(d) = -d**3 + 5*d**2 - 3*d. Determine r(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4896)\/(-64)*6\/(-24)*-2*72\/54?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6422, 12719, 19024, 25343, 31682, 38047, 44444?\nAnswer: 50879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, q: 1, h: 2, u: 1, c: 1, s: 1}. Give prob of picking 1 g and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/36652 and 31\/796348.\nAnswer: 8759828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -575 divided by -115\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21.24 + -26.24. What is the closest to 0.1 in 4, 0.4, 4\/7, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2074 = -5*y + 37*m - 41*m, 5*y = -5*m + 2075. Suppose 0 = -6*o + 5790 - y. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 242 and 7381.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from {l: 3, k: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1238813?\nAnswer: 433, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7439 - -8629. Is 45 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, s: 3, b: 2, c: 3, y: 2, z: 1}. What is prob of picking 1 b, 1 z, and 1 c?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*k - 4*k, 5*k = 2*y - 12. Let z = y + 0. Calculate the smallest common multiple of 14\/(-6)*6\/(-2) and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.9 - -20.7. Put g, -4, -0.5 in ascending order.\nAnswer: -4, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 5 (b) 4 (c) -4 (d) -1 (e) 2\/21 (f) 1091\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7770)\/(-333)*(-39)\/1560?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/38152576 and -3\/1931776.\nAnswer: 152610304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8008 and 4368.\nAnswer: 48048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 6. Let a be y(-6). Suppose a = -3*w - 36 + 168. Let p be 4\/2*w\/8. Calculate the greatest common factor of p and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 1456728 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12792\/182)\/(-41))\/(4\/(-42))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(1*(-6)\/(-9)). Suppose 20 = 8*o - 3*o - 3*c, 4*o + 5*c + g = 0. Find the third derivative of -8*w**2 - 5*w**4 - 2*w**2 - o + 1 wrt w.\nAnswer: -120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-88869)\/165)\/((-16)\/880). Calculate the greatest common factor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 9*a**2 + 2*a - 14. Let s be n(9). Solve 5*l = -s - 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 11382 = 1680. Suppose 5*r - 50 = -5*a + 2145, -2*a - 4*r + d = 0. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 0)*(-5 + 2). Suppose 0 = -3*s + 3*o + 21, -2*s = -3*o + t - 27. Solve -9 = -3*j - 3*w + 6*w, -7 = s*j + 5*w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**7\/1680 + y**6\/960 - 7*y**2. Factor x(m).\nAnswer: -m**3*(m - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(2\/21))\/(w**(-26)*w*w))**(2\/11) assuming w is positive.\nAnswer: w**(1046\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 212*d**2 - 336 wrt d?\nAnswer: 424*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppxppxpxxppppppppp. What is prob of sequence px?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1330, 2555, 3780, 5005, 6230?\nAnswer: 7455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 0 - (-28815)\/(-100). Let h = -579\/2 - b. Find the common denominator of h and -41\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 2 = -4*q. Let x be 4\/q - 1 - 204\/(-84). Solve -x = -s + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -84, -176, -294, -432, -584, -744?\nAnswer: -906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -543*f + 281*f + 276*f = 41398. Is f a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikjiek. Give prob of sequence je.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14716 times -1.3\nAnswer: 19130.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 17. Let m = d + -11. Suppose -w**3 + 12*w**2 - 2*w**3 - 3*w**2 + 0*w**m - 9*w + 3 = 0. Calculate w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4983240 divided by -15?\nAnswer: 332216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/10 - 1242\/630. Let k be 104\/28 + (-6)\/(-21). Let y be 2\/k - (-6)\/(-4). Is y <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 12. Let i be k(-9). Suppose -5*t - i = -2*t. Is -2\/3 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -2, -0.04, -1, -0.2, 125, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 x when four letters picked without replacement from xxhsxhhsjsxjhjssxss?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 1371*s**2 + 79*s - 15. Is i(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdfr when four letters picked without replacement from fadyfyryayf?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 215 = 37. Calculate the highest common factor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3903, -3912, -3925, -3942, -3963, -3988, -4017?\nAnswer: -4050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + h + 3 = 0, -3*b - 453 + 468 = -h. Let f(k) = 21*k - 61. What is f(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20, -41, -82, -149, -248, -385, -566?\n\"Answer: -w**3 - 4*w**2 - 2*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1892 = 5746*d - 6219*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 7. Suppose 2*s + 2*s = 8. Let b = s - j. Solve -z + 12 = b*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**4\/3 - 56*m**3 - 178*m**2\/3 + 224*m + 680\/3 = 0.\nAnswer: -2, -1, 2, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*d + 204 - 211 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 417625 (base 9) to base 11.\nAnswer: 15a670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 618640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38589025?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -10183, 208, 4, -2\/5?\nAnswer: -10183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 931568.\nAnswer: 2, 11, 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11749 and -0.3.\nAnswer: 3524.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a2 - -5?\nAnswer: 3a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 258*w + 12130. Determine t(-47).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1051.5 and -7941.\nAnswer: -6889.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 7637293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -412 - 30423404?\nAnswer: -30424321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + y - y)*(-6*y + 3*y - 2*y) + (-3*y + y + y)*(-3*y + y - y).\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46719*x*y**2 - 8*x*y + 4*y**2 - 371*y - 31 with respect to x.\nAnswer: 46719*y**2 - 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 - -1.4. What is the nearest to d in -3, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1082717?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**3 + 2*z**2 + 2. Let w(p) = -4*p**2 - 5*p. Let s(f) = 5*l(f) + 4*w(f). Let g(k) = -12*k. Calculate s(g(n)).\nAnswer: -144*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2713214 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21871207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176456645.\nAnswer: 5, 35291329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 + -121. Let y = j - -82. Calculate the least common multiple of y and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1295 + 1323. Calculate the lowest common multiple of k and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.2 + 2.2. Let u = 6 + l. Let z = 5.1 + u. Which is bigger: z or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 219 by -1.\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 2 + n**3 - 1 + 3*n**2 + 0*n**3. Let m(w) = w + 26. Let i be m(-9). Suppose 0 = -4*d + 5 - i. Determine q(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63171 + 813171. Round x to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = 5*y - j, -50*y + 84 = -48*y + 4*j. Find the third derivative of 76*p**2 - 21*p**2 - 21*p**3 + 140*p**3 + y*p**2 wrt p.\nAnswer: 714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j**2 + 88*j + 541. Calculate a(27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 38220 divided by -1365\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33153 and 258.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 75*w - 70*w - 88475, -5*w = -3*u - 88467. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*k - 80*k - t - 54302, -2*t = -k - 54296. What is k rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*h**6 - 1915*h**5 + 325*h**3 - 29884814*h**2 + 6*h?\nAnswer: 1440*h**3 - 114900*h**2 + 1950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22636 * 2.002.\nAnswer: 45317.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6*(-8)\/((-48)\/(-198)). Let h be (4\/(-6))\/(a\/33). Let p(r) = -7*r - 3. Let y(x) = -8*x - 2. Let l(n) = -4*p(n) + 6*y(n). Determine l(h).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s + 2. Let i(n) = -22*n. Calculate i(d) - 6*u(d).\nAnswer: -10*d - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1074.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {u: 1, n: 6, k: 7, e: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {b: 3, n: 4, u: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 33?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34419 is divided by 2038.\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**3 - 23*d**2 - 147*d + 72. Is 21 a factor of p(25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2169 + -2169. Let y be (4\/14)\/((-4)\/(-28)). Let p = y + 6. Solve b = 3*u - u - p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/42*168\/144.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 7. Let p be (1 + 0)*1 + 3. What is the closest to g in p, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 39808.\nAnswer: 3980.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 9 + 7. Suppose -5*g - 206 = -u*a, -g + a - 2*a - 43 = 0. Let b be g\/(-12) - 2\/4. Calculate the highest common divisor of b and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1069368 is divided by 448?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56904307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-5)\/(k\/(k\/k**(-3\/2))))\/(((k**(1\/3)*k)\/k)\/k)**(-10\/9))\/((k*k*k**(-2)*k*k**0*k*k)\/(k**0)**(2\/17)) assuming k is positive.\nAnswer: k**(-391\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide ((-62)\/(-3))\/((-236)\/(-4248))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3)*v)**(-2\/19) assuming v is positive.\nAnswer: v**(-4\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3432414 + -131?\nAnswer: 3432233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1008\/42)\/((-16)\/((-32)\/16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = 116759 + 84771. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -318*h + 252. Give u(1).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 4*r + r)*(4*r**2 - 6*r**2 + r**2 + (-5 + 3 + 0)*(-4*r**2 + 11*r**2 + 6*r**2) - 1 + 1 - r**2 - 3*r**2 + r**2 + 3*r**2).\nAnswer: 54*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*n + 8. Suppose 3*u + 4*g - 7 = 0, -g + 24 = -5*u + 5. Let s(w) = -2*w**3 + 34*w**2 - 2. Let l be s(17). Put l, 4, n, u in decreasing order.\nAnswer: 4, l, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*b + 329 = 334 + 1782 + 397 for b.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -3, 4, 3, -234, 140 in descending order.\nAnswer: 140, 4, 3, -1, -2, -3, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j + 627. Let c(s) = -7584*s. Determine c(v(w)).\nAnswer: 22752*w - 4755168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -118 - -661. Suppose -h + 3*a + k = 0, -2*a + 2698 = 5*h - 0*a. Round h to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 11*n - 14. Let y be x(-9). Suppose 3*i = v + v - 21, 3*v + y*i - 23 = 0. Solve 0 = 5*b + 25, 0 = -5*r + 4*b - v*b - 45 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*q**4 - 3*q**3 + 84*q**2 - 2 wrt q.\nAnswer: -1056*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -3\/2, -1, 8, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 5*k + 16, -5*t + 5*k + 11 = -9. Let c = t + -4. What is the greatest common divisor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 2. Let x be v(-1). Let r(g) be the first derivative of 0*g**2 + 0*g**4 + 1\/15*g**6 + 0*g**x + 0*g - 2\/25*g**5 + 5. Factor r(s).\nAnswer: 2*s**4*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r**4 + 1031876*r + 45958007 wrt r?\nAnswer: 8*r**3 + 1031876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*b**4 - 30*b**4 - 2*b**4 + (-5*b + 3*b + 3*b)*(2*b**3 + 3*b**2 - 3*b**2).\nAnswer: -48*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**5\/7 - 9*w**4\/7 - 24*w**3\/7 - 20*w**2\/7 = 0?\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h - h**5)*(-4 + 0 - 2)*(1 + 1 + 0).\nAnswer: 12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44734172, -44734174, -44734176, -44734178?\nAnswer: -44734180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7*g\/(g\/(g*g\/g**(-1\/2)*g*g)))**(6\/37)\/((g**(1\/3))**(1\/20)*(g*g\/(g*g**5\/g*g))\/(g\/(g**(-2\/3)*g))) assuming g is positive.\nAnswer: g**(4821\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4, 1, 14, 41, 88, 161, 266?\n\"Answer: v**3 - 2*v**2 + 4*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -2*v + 161 - 153, 0 = -2*a - 3*v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-43)\/(-9) + (-6)\/(-27). Suppose -h*b = -2 - 8. Let t be (-6 - -2 - -1) + b. Which is greater: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6215704 to three dps.\nAnswer: -0.622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 25\/9 (c) -0.1 (d) 0.2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8344716, -8344759, -8344800, -8344839, -8344876, -8344911?\nAnswer: -8344944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 + 3.7. Which is the closest to 1? (a) -2\/5 (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -174, -170, -166?\n\"Answer: 4*j - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 268 and 51523?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1208 by 4.\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 4*g - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 247 - 170. Suppose -4*o + 5*r = -67, -2*o - 3*o + d = -4*r. What is the remainder when 31 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = u - 3*v, -u - v = -5*v - 90. List the prime factors of u.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuu when three letters picked without replacement from {y: 13, u: 3}.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/1 - (-1)\/((-2)\/8). What are the prime factors of (948\/(-9))\/(v\/(108\/8))?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l**4\/4 - 47*l**3\/3 + 22*l**2 + 94*l + 193. Let s be p(46). Solve -3*m = -4*m + 5*r + 9, -2*m - s*r + 6 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2076.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 * -278.647\nAnswer: 36.22411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**3 - 5*s**2 + s**3 + 0*s**3 - 5*s**3.\nAnswer: -10*s**3 - 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2128 = -7*v - 84*v + 1148 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 3*l + 11. Let a(x) = -3*x**2 - 9*x - 35. Suppose 32*i - 33*i = -6. Let b(f) = i*a(f) + 17*h(f). What is the derivative of b(z) wrt z?\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 123*b**2 - 8*b + 8. Let n(z) = 82*z**2 - 5*z + 5. Let w = -8 + 0. Let m(x) = w*n(x) + 5*r(x). Let u(j) = j**2. What is m(u(y))?\nAnswer: -41*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - (516\/44)\/(-3). Which is the second smallest value? (a) -1 (b) v (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 77 = -3*g. What is the lowest common multiple of g and 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*b**3 - b**3 - 22 + 58*b**2 + 24*b**3 + 3*b**2 - 6*b**2 to the form w*b + r*b**3 + s + h*b**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 7*k**2 - 3*k + 5. Let j be 1\/12 - (-83)\/12. Calculate n(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**8\/168 - s**6\/30 + s**4\/12 + 219*s**2 - 2. Determine u, given that o(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 11:39 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3494 + 3500. What is the highest common factor of x and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8833 and 40175696?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4680\/(-70720))\/((-3)\/(-4))\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*i**3 - 32*i**2 - 6 + 2*i - 6*i**3 - 113*i**2 - 13*i**2 to j*i + u + x*i**3 + b*i**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 + 60. Let w be (15\/(-5))\/((-1)\/1). Solve 2*c - m = f, 0*f - 4*f - w*c = 13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*sqrt(252)\/sqrt(4) - sqrt(1008)*-1 - ((sqrt(378) + sqrt(378)*1)*5)\/(sqrt(216) - sqrt(6)))**2.\nAnswer: 4725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 70530, 141019, 211508, 281997, 352486, 422975?\n\"Answer: 70489*b + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23545508 to the nearest integer?\nAnswer: 4852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 9:32 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3571756301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 346*w - 350*w + 2*s, 5*w + 2*s = 143. Suppose 0 = 5*c - q + 19, -c - q + 3 = -2*c. Let r = 4 - c. What is the remainder when w is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32753336 and 126919177.\nAnswer: 1015353416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pop when three letters picked without replacement from {o: 1, q: 1, n: 3, j: 1, p: 3}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, k: 12}. Give prob of sequence ckcc.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*sqrt(19))**2 + sqrt(19) + (-2 + sqrt(304))**2 + sqrt(304).\nAnswer: -11*sqrt(19) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.04 - 0.06. Let u = 0.2 - -2.8. Let k = x + u. Which is the closest to 1? (a) -1 (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 5 = 5*m + 4*h, -2*m + h - 17 = 0. Let z = m + 15. What is the remainder when 11 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5746 + -5715. Suppose 2*t + 3*y - 64 = 2*y, -4*y = -t + 41. Is f less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-80)\/12 + 6 - 11\/(-3). Let l = 74.552 + -75. Let q = l + -0.052. Put v, 0.4, q, -2\/7 in increasing order.\nAnswer: q, -2\/7, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**4\/2 - 161*l**3\/2 - 6715*l**2\/2 - 18723*l\/2 = 0.\nAnswer: -79, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34345 - 5174 = -9*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 10?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-50))\/(1\/5). Let n = -14 + 13.3. Let t = n + 1. What is the third smallest value in t, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from ezzzeezzzzzzee?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g**3 + 4*g**2 - 7*g - 2. Suppose -3*r + 4*b = -14, -11 = 5*r + 3*b - 15. Let n be o(r). Calculate the greatest common divisor of n and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*a - 44204 = -891*a - 239*a for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 108 = 2*w, 2*w - 54 = -3*l + 54. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2871)\/(-374) - (-111)\/(-629)\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 17*h + 48. Let g be l(20). Let r be ((-2)\/g)\/(3\/18). Let w be (3 + -5)\/(2\/(-5)). Solve 2*m - r = w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -496 greater than -497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 1\/3, -671, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-442)\/468*6)\/(1\/3).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzrzvzzzfzzzzvvvz. Give prob of sequence zz.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -g + 3*u, -4*g = -u + 8. Let q be -1*(-7 - (-6)\/g). What is the greatest common divisor of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/(-9)*(-45)\/(-20). Let w(c) = -11*c + 16*c**2 + 67*c**2 + n*c + 2. What is the units digit of w(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 11 - 41. Let t be p\/8*4\/18. Let a = 11 + -6. What is the closest to 0.1 in a, -1\/4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54555371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5049808076.\nAnswer: 2, 107, 2687, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - h - 1 = 5, -2*h = 5*g - 2. Suppose g*r + 10 = 90. Suppose 1 = 3*d - 2, 0 = -4*b + 4*d + r. What is the greatest common divisor of 88 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 69739348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047181 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -v + 226, 4*b - v - 323 = -503 for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 3 - 5. Suppose 5*m - 6*m = -j. Find the third derivative of -2 - 3*c**3 + 4 - m + c**2 wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 39216, 6, 40 in descending order.\nAnswer: 39216, 40, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 0 - 24. Let x(g) = 2 - 3 - o*g + 4*g + 4*g. Let s(q) = -26*q + 2. Let f(h) = -17*h + 1. Let a(d) = 3*f(d) - 2*s(d). Determine 2*a(m) - x(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsn when three letters picked without replacement from svvvssnssskksvsnnvh.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -0.9, 0, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 369 + -365. Let x(z) be the third derivative of -7\/24*z**u + 21*z**2 - 1\/3*z**3 + 0*z + 0 - 1\/60*z**5. Give x(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f + 11. Let w(d) = d - 5. Let h(t) = 3*k(t) + 7*w(t). What is h(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f - 64. Let n be h(33). Suppose -6 = s + 2*s. Sort s, n, 4 in ascending order.\nAnswer: s, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - 44)*(-51)\/12. Let x be -10*q\/(-8) - (-1)\/1. What is the highest common divisor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**3 + 54*b**2 - 30*b - 1. Let x(p) = -2*p**3 + 63*p**2 - 34*p - 1. Let v(f) = -6*k(f) + 5*x(f). What is v(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 - 4*y**2 - 150*y + 622. Determine h(4).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/((-180)\/8))\/1\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75*q**3 + 175*q**2.\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -10 - (6 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86055792311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 3\/7 (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162 and 239504.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + -1 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a week in hours?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -257*q**6\/120 + q**5\/20 - q**4\/24 - q**3\/3 + 2*q**2 + 23. Is j(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 1:31 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83236.\nAnswer: 2, 20809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149361 is divided by 3394?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 14) to base 12.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8756 and 83320?\nAnswer: 182387480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 21 (b) 32 (c) 1\/3 (d) 200 (e) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/189*2\/(4*2). Let x = -2\/27 - v. What is the nearest to -10 in 0.1, x, 1\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 + 17406*c**3 + 75829188*c**2 + 756969544*c + 1815724896.\nAnswer: (c + 4)*(c + 6)*(c + 8698)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from autfigg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o - 36. Give p(-13).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 + 4*t + 5. Let x(z) = -z**3 + 4*z**2 + 2*z - 4. Let v be ((-24)\/(-6))\/(2 - 1). Let q be x(v). Is k(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*s = -40*s + 124. List the prime factors of s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (26\/4 + -2)*2. Let q be 3*75\/i*3800. What is q rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 5\/7 (c) 10.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.85 - -0.15. Let z = 3 - d. Let u = 3 - 0. Which is the nearest to 0.2? (a) z (b) -2\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o + 22107*o**2 - 46*o + 21*o + 20*o in the form v + t*o**2 + s*o and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -17, -5, -7, 4, -2, 3 in increasing order.\nAnswer: -37, -17, -7, -5, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*n**2 + 1 - 1 + 1660*n**3 - 1662*n**3 in the form y*n**2 + z + i*n + t*n**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {j: 9, u: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27653981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -2. Let z = -4.6 - m. Let d = z + -3.4. Which is the nearest to 0? (a) -4 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(15)\/sqrt(3) + 4).\nAnswer: -8 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105750939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*k**2 + 0 + 0)*(-2*k + 4*k - 6*k) - 2*k**3 - k**3 + 2*k**3.\nAnswer: 63*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 81586 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x. Suppose 4*p + 24 = 44. Suppose 4*a = -2*u - a + 6, 2*u - p*a = 6. Let r(m) = 3*m - 1. Calculate u*r(i) + 2*f(i).\nAnswer: i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*o - 236, -4*g + 5*g = 3*o + 40. Solve 45*n - g*n = 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g + 4. Let j(c) = -5*c**2 + 3*c**2 + 1 - 4*c**2 + c**3 + 3. Suppose 10 = 5*y + 5*v, 0*y + 4*v + 40 = 4*y. Let x be j(y). What is s(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41649167 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 7*u**2 + 4*u + 4. Calculate b(6).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/30 - (-30)\/(-4). Calculate the common denominator of -127\/24 and ((-4)\/u)\/(24\/(-68) - 0).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2051 (base 16) in base 9?\nAnswer: 12312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4719\/7 or -673?\nAnswer: -4719\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahahaak. Give prob of picking 1 k and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-4*(-4)\/(-200)). Calculate the highest common factor of x and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-2*h**2 - 1236*h**3 + 6*h**2 + 3*h**4 + 1235*h**3).\nAnswer: 6*h**4 - 2*h**3 + 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -551144 - -551134. Let u(d) = 2*d - 4. Let o be u(4). Put 2, m, o in descending order.\nAnswer: o, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 79*g + 2305. Let i be y(-25). Calculate the greatest common factor of 690 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -b - 139, -s - 211 = -20*b - 305 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-21296)\/(-660))\/242)\/((-264)\/(-45)).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2817 + 2883 + (-132 - 1)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11114 (base 11) in base 14?\nAnswer: 5c28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1766, -3685, -5604, -7523, -9442?\nAnswer: -11361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4139 is divided by 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d + 14. Let q be o(-6). Let k be ((-3)\/q)\/((-18)\/48). Solve -k + 0 = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 322*d. Let c(y) = -233128*y. Determine -2*c(v) - 1449*p(v).\nAnswer: -322*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3f683 (base 16) to base 3.\nAnswer: -111012021002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 100*c + 295. Let d be x(-3). Suppose -3*a + 5*p + 0*p + 71 = 0, -3*a - 4*p + 35 = 0. Let h = -19 + a. Sort d, -1, 2, h in decreasing order.\nAnswer: 2, -1, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9936007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2 + 1, -5*d = -3*o + 31. Suppose 4*a = 3*a + 3. Solve o = -a*q - 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 0 - 2)*(3*h - 2*h - 3*h) + h - h + h)*(-1 - 1 + 4) to the form c + z*h and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3 (b) 5 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(84)*-3 - sqrt(84)) - sqrt(84) - sqrt(84))\/sqrt(12).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w + 7*w + 6*w + 3*w to the form s*w + j and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52006, 53155, 54304, 55453, 56602?\nAnswer: 57751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -7. Let z(m) = -19*m**2 + 421*m - 63. Let l be z(22). Suppose h + 6 = -j, j + 10 = 5*h - 4*j. Put l, h, y in descending order.\nAnswer: l, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82 + 112. Calculate the smallest common multiple of v and 132.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3596105*o**2*p**5 + 43*o**2*p**2 + 2*o*p**4 - 20*o*p**2 + 77*p wrt p.\nAnswer: -215766300*o**2*p**2 + 48*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64633857 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -47 + -37c?\nAnswer: -3c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7*m**2 - m + 1. Suppose 2 - 6 = -4*x. Let n be k(x). Let f(t) = -t**2 + 8*t - 3. Let r be f(4). Solve -4*v - n - r = -d, 3*d = 5*v + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -73*s**3 + s**2 + 4*s + 5. What are the prime factors of w(-2)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -33*y**3 - 2*y**2 + 3*y + 3. Let p be i(-2). Suppose -17 = -3*d + 52. Suppose 2*l + d = 69. What is the greatest common factor of p and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**5 + 3*j**5 - 3*j**5 + (2*j**3 - 2*j**3 - 2*j**5)*(-6 + 3 + 1) - 3*j**5 - 2*j**5 + 3*j**5.\nAnswer: j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 5 + 5*m**3 - 31 + 2*m**2 - 2*m**2.\nAnswer: 5*m**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.775367 litres to millilitres.\nAnswer: 1775.367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t - 10*t**3 + t**3 + 7 - 7 to p + i*t**3 + b*t**2 + m*t and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 8*b + 30. Calculate the remainder when 206 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494076232 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - n = n - 4, 3*y - n = 3. What is the nearest to -0.1 in y, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/30 and 121\/4098.\nAnswer: 20490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147, 137, 115, 75, 11, -83?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 - 32*c - 23. Suppose 16*u + 2805 = 2565. Determine n(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 - 1 - 4 + 7*f**2)*(-f**2 + 0 + 0) to g + t*f**3 + d*f**2 + x*f + k*f**4 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62114175 and 270.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 0 - 19*m - 10 + 2 - m**2 + 2*m. Let n be u(-8). Let h = n + -35. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 29\/102?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -62? (a) -4 (b) 0.2 (c) -1462\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -47, 0 in increasing order.\nAnswer: -47, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/199, -5, 3, -383, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180 a factor of 348505585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 at least 0.317208525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -997 = -998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6 + -31563205?\nAnswer: -31563200.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1986932989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-616)\/(-1638) - 8\/52\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8)\/b*b)\/((b\/b**(-2\/3))\/b)*(b\/(b**(-2\/3)\/b*b*b))**(-31) assuming b is positive.\nAnswer: b**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 71*m + 3*m + 148 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 126, 244, 362, 480, 598?\n\"Answer: 118*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 12:19 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51 and 15885.\nAnswer: 270045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 6*p + 4. Let d(m) = -5*m**2 + 27*m + 17. Let j(f) = -2*d(f) + 9*y(f). Let l(n) = 40*n**2. What is l(j(u))?\nAnswer: 40*u**4 + 160*u**2 + 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63443 (base 8) to base 9.\nAnswer: -40186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -14*p - 11. Let i(n) = -5*n - 4. Let g(f) = -11*i(f) + 4*o(f). Calculate g(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010001010 (base 2) to base 14\nAnswer: -346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -489 + 437. Which is greater: -54 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 19*x - 39. Let o(v) = 3*v**2 - 2*v. Calculate the remainder when b(-5) is divided by o(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + 7. Solve 0 = t + 2*n + 3, -2*t + t + 5*n + a = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15048 and 1197.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 divided by 120378?\nAnswer: 97\/40126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23808847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n. Let y(q) = 690*q**2 + q + 2. Give y(k(u)).\nAnswer: 11040*u**2 - 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 660195347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 11 = 41. Suppose 3*n - 67 = -x*t + 5*t, t - 5*n + 9 = 0. Calculate the smallest common multiple of t and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 197, 192, 187, 182, 177?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 2*v + 2. Determine d(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3390183?\nAnswer: 3, 376687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, c: 1, j: 3, g: 3}. Give prob of picking 1 c, 1 j, and 2 g.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/55, 1, -79, 14 in decreasing order.\nAnswer: 14, 1, 2\/55, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -156721, -157029, -157323, -157597, -157845, -158061, -158239?\n\"Answer: v**3 + v**2 - 318*v - 156405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 315105 + 104839. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38780 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 10 = 3*n, 0 = q - 5*n + 7824. Let u = -2036843\/260 - q. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s + 4. Let u(v) = 7*v + 5. Let d(q) = 4*r(q) - 3*u(q). What is the lowest common multiple of d(3) and (-6)\/4 - (-54)\/4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -15. Let h = -2.2 - n. Let a = 432.9 - 433. What is the closest to 0 in a, h, 2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -440, -3539, -11966, -28397, -55508, -95975, -152474, -227681?\nAnswer: -324272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 136864111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53cb7d (base 15) in base 5?\nAnswer: 2010214333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 129377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -61*g**2 - 59*g**2 + 118*g**2 + (-g + 3*g - 5*g)*(5*g - 2*g - g) + (5*g - g - 3*g)*(10 + 2*g - 10).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 260 + 237 - 497.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -1\/17, -5, 4, 0 in increasing order.\nAnswer: -5, -1\/17, 0, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*g - 0 + 1, -24 = -u - 3*g. Suppose -p + 9 = 2*p. What is the remainder when u is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -342, -764, -1354, -2112, -3038, -4132?\nAnswer: -5394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -13*b + 17. Let m be x(7). Let t = 115 + m. Suppose 0 = 6*z - 319 - t. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 445927 or 445926?\nAnswer: 445926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.1. Let i = 1.069 - 746.069. Let y = i - -739. Which is the nearest to f? (a) 5 (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79382592.\nAnswer: 2, 3, 15313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 m when three letters picked without replacement from {c: 8, m: 2}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 250.999539 - 251. What is m rounded to 5 decimal places?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69624 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237\/5 - 6\/15.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 100*o**2 + 7896*o - 323. Determine m(-79).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/675 + 421\/5400. Let b(t) be the third derivative of 0 + 1\/50*t**5 + 1\/200*t**6 - t**2 + 0*t - r*t**4 + 0*t**3. Factor b(m).\nAnswer: 3*m*(m - 1)*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31590\/151 or -210?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*u = 9, -5*u + 3*u + 6 = 4*d. Suppose n - 3*t - 977 = 0, t = d*t. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8849\/3 - -2981. Let 0*h + 0*h**2 - b*h**4 + 20\/3*h**3 + 0 + 6*h**5 = 0. Calculate h.\nAnswer: 0, 2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-4)\/(-2)))\/(132\/(-33)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 7*w + 6, 0 = -z - w + 397. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 108\/48 - 2\/8. Suppose -2*t - 4 = 2*f - 7*t, 4*f = q*t + 8. What are the prime factors of ((-2)\/f)\/(2\/(-108))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 0*o + 2*o + 2, 3*o + 3 = -4*m. Let q be m + (3 - -1) + 2. Suppose q*h - 2*h + b = 76, 0 = -3*h + b + 57. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6729261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -24. Suppose 0 = -4*a, 4*a + v = 2*r - 3. Suppose -r*t + 5 = -5. Solve 0*x - 2*x + u = 2, -x + t*u = -5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 782499 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-3))\/y)\/y**(-2)*y**4\/(y**0\/y*y))**(-2\/35) assuming y is positive.\nAnswer: y**(-18\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 2*h + (-3 + 6 + 5)*(100 - 100 + 16*h))*(-3*h + 0*h + 2*h) in the form q + w*h**2 + m*h and give w.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -119\/8 + 15. Let x = 31 + -31.039. Let p = x - -0.239. Sort 2, p, a, 1\/2.\nAnswer: a, p, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88750723 + 24022331 = -296*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -137 greater than -139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 5*c - 174199997 = s, -9 = -3*s. Round c to the nearest 1000000.\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*b + 4*w, 4*b = 5*w + 22 - 3. Solve -b*q + 15*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146421843.\nAnswer: 3, 48807281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 90, 136, 184, 234?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.21767 weeks in nanoseconds?\nAnswer: 1341246816000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24278132 divided by -136394?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 725 = 3*x, -4*x + 5*h = 487 - 1495. List the prime factors of x.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/462 and 155\/882.\nAnswer: 9702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 12*f - 46. Is h(5) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*((-2)\/3 - -1). Let d be -322*(-1)\/v + -1. Suppose 500 = x - d. What is x rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.66 (b) -0.2 (c) -0.5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 402 + -300. What is the remainder when b is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.2 + 8. Suppose f - 2*x = 0, 3*x - 6 = -5*f - 19. Let p be (-1 + 1)\/(f - -5). Sort -1, p, z, 1.\nAnswer: -1, z, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - (-1 - (-56)\/(-12)). Let x = -2.85 + -0.15. Let r = -5 - 0. What is the nearest to 0 in y, x, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 28 = -5*f, 9 = 4*l + f - 8. Suppose 5*a + 4*u = 30, 2*a = 3*a + u - 5. Suppose -n = -l*n - a, 3*g - 4*n = 1427. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 6 = 3*u + m, 3*m - 2 = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.5? (a) -1 (b) 0.502 (c) 117\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 7*d + 6. Let n be 0 + 4 + -3 + -1. Let p = 4 + n. What is y(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (1 - (0 + 6) - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 - 2*q + 1. Let u(y) = -y**2 + 2*y - 7. Let w(p) = p**2 - p + 7. Let h(b) = -5*u(b) - 4*w(b). Let l be h(5). Determine k(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2))**(-1\/16)*g**1*g*g**(-9)*g*g*g assuming g is positive.\nAnswer: g**(-127\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50095695?\nAnswer: 3, 5, 13, 256901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 101 and 89486.\nAnswer: 89486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 514 in -5, 1, -3\/5, -5\/41, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10723?\nAnswer: 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhrhhhrh. Give prob of picking 1 h and 1 r.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 9:38 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41841858659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -192*(-6)\/27*81. Suppose -y = -5*n - 7*n. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27.86 - 22.86. Put -21, 2\/13, i, -0.06 in descending order.\nAnswer: i, 2\/13, -0.06, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f + 9. Let t(d) = -12. Let r(u) = u + 1. Let l(o) = -4*r(o) - t(o). Suppose -6*k = -10*k + 3*z - 13, -2*z + 6 = -2*k. Calculate k*l(c) + 3*v(c).\nAnswer: c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 7:12 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11398715 (base 10) to base 6\nAnswer: 1044151455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 222 - 2888\/13. What is the fourth smallest value in 2\/3, -0.2, r, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22.4? (a) 0.02 (b) -0.01 (c) 0.6 (d) 0 (e) 2 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*v - 6*v**2 - 16*v - 8*v + (-4*v**2 - v**2 + 3*v**2)*(2 + 0 - 4) + v + v**2 - v to b*v**2 + h*v + j and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*t - 24 = -2*k - 154*t, -4*k - 5*t = -3 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -937 - -2780. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*-2*24\/192\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 3, 11, 4 in descending order.\nAnswer: 11, 4, 3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + j + 45 = 0, -50 = -0*b - 4*b - 2*j. Suppose 0 = b*w - 235 - 941. What is the remainder when w is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 329, 0, 5 in descending order.\nAnswer: 329, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3232 = 2*j, -6*j = -2*j + r - 6484. Is 54 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 73*v**2 + 5*v + 364. Let c be b(-73). Let f(a) = 2*a - 1 + 0*a - a. Let u(z) = -2*z**2 + 4*z - 1. Determine c*u(w) + 3*f(w).\nAnswer: 2*w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2.741 times -8.8\nAnswer: -24.1208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -816 divided by 6.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 26 = -5*j. Let a be j\/6 + 4 + 314\/6. Let v = a - 45. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7013203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from pjjsz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5265 + 6*b + 5265.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -31*m + 25*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(153)*1 - sqrt(153)) + 6*(1 + sqrt(153))**2 + ((sqrt(153)*-2)**2 + -1)*3.\nAnswer: 51*sqrt(17) + 2757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1621503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22.993 + 21.993. What is the fourth smallest value in -4\/5, f, 3\/5, -4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*sqrt(19) + sqrt(19))**2 + sqrt(931)*-1 + 5 + 0.\nAnswer: 11*sqrt(19) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49 - 47 + 98 - h**2 + (2*h - h + 0*h)*(1 - 1 - 2*h) + h - 4*h**2 - h.\nAnswer: -7*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q + 3*q + 3*q.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 857 + 862 - 36*s**3 + 858 + 35*s**3 - 2577.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 0.0257163.\nAnswer: 0.00257163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567518.\nAnswer: 2, 7, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85675?\nAnswer: 5, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1560 = 435. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8898.308 millilitres to litres.\nAnswer: 8.898308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15691 + 15877. Calculate the highest common factor of b and 806.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 93?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) 1\/8 (c) 21 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -3, 3414.11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 6*t + 33. Let r be z(-5). Solve 2*l = 2*j - 6, 5*j = r*l - 3 + 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4844 + 2351. Let x = -580868\/233 - c. Is x less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5746*o**2 - 297 - 4*o - 291 + 592.\nAnswer: 5746*o**2 - 4*o + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -171903 and -1.\nAnswer: -171904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 1212.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*f - 36*f + 7*f. Solve f = 5*q - 5*x + 40, 5*q + 4 = -0*q - 4*x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121211 - -20120?\nAnswer: -101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - 16\/12) + 301\/3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-56) + (-414)\/(-14). Calculate the greatest common divisor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmummlmmmmmuub. Give prob of picking 2 m.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*g - 57, -2*g + 2*n = -g - 22. Let d(p) = -21 + p - g - 19. Let m(u) = u. What is d(m(r))?\nAnswer: r - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1978 + 2?\nAnswer: -1976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 13*j + 15. Let d be v(12). Suppose -14 = d*k - 110. Is 30 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4, -19, -42, -73?\n\"Answer: -4*v**2 - 3*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17, -48, -53, -20, 63, 208, 427?\n\"Answer: 2*w**3 + w**2 - 48*w + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 540 (base 12) to base 5.\nAnswer: 11033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - (-102)\/(-8))\/(2\/8). Let i(w) = -w**2 - 27*w + 1. Let h be i(d). Sort -2, 4, h, -4 in descending order.\nAnswer: 4, h, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*4886352.\nAnswer: 19545408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 4 + 17 + -1 + -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.946 times 5?\nAnswer: -14.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(1\/2)\/(41 - 42).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.123 + -0.217. Let d = -0.34 - p. Is -92 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**3\/n)\/n*n*n**4*n*n*(n\/n**3)\/(n\/((n*n\/n**5)\/n))*(n*n**(2\/7)*n)\/(n*n*(n\/(n**(-3\/2)\/n))\/n*n)*(n**(-1)\/n)**(-1\/55) assuming n is positive.\nAnswer: n**(-907\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11, 9, 87, 253, 537?\n\"Answer: 5*g**3 - g**2 - 12*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -86.32846 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 5 = -u. Suppose 0*y = -u*y - 4*c + 56, -3*y - c = -38. Solve 4*g + 5*h + 21 = 0, -y = 2*g + 3*h + h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 21*a**2 + 408*a + 7761. Calculate o(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -26108 + 26105 + 10*s**2 + s + 2*s + 6*s**2 + 7*s**2 as c + b*s**2 + v*s and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5343593?\nAnswer: 17, 314329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 15. Let l be u(-15). Suppose l = 3*f - 2*s + 6*s + 11, f = 4*s + 23. Solve -b + 2*m = b, f*m = 5*b + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1801008 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 23 - 5)*(-1 - 2 + 6)*(-k**3 - k**3 - 2*k**3) + (-12*k + 12*k + 4*k**3)*(2 + 1 - 1).\nAnswer: -172*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 0)*(2*x**2 + 24*x**3 + 2*x**4 - 33*x**3 + 23*x**3) to s*x**4 + l*x**3 + k*x**2 + j*x + q and give l.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -259, -12247 in descending order.\nAnswer: -2, -259, -12247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f + 3. Let d be t(-1). Which is the closest to 4? (a) -0.5 (b) d (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0 = s + 6, s + 10 = 3*d. Let t be -4*s\/((-64)\/(-18)). Which is smaller: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z**(1\/19)\/z*z)*z*z)\/z*z)\/z**(-5\/9) assuming z is positive.\nAnswer: z**(770\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**5\/10 - i**2\/2 + 6*i + 5. Let j(x) be the first derivative of h(x). Find the first derivative of j(o) wrt o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*c - 21386 - 109803. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 10, -568 in descending order.\nAnswer: 10, -5, -568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -3*k**4\/4 - 285*k**3\/4 - 1377*k**2\/2 + 30390*k + 31008 = 0.\nAnswer: -76, -34, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 912 divided by 228\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 565270809 to the power of 1\/2, to the nearest integer?\nAnswer: 23775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75.7 + -72.7. Let a = -0.3 - 3.7. What is the third smallest value in -0.2, u, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from xgddfdldfffffffddg?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20803166*a**3*w**3 - 4*a**2*w**2 - 15102*a**2*w - 2*a*w - 4*w**3 - 2*w wrt a.\nAnswer: 124818996*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 11. Find a, given that -16 - a**2 + 19*a**4 + 48*a - 72*a**3 + 27*a**5 + 8*a**l - 7*a**2 = 0.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-12)\/(w\/(w\/(w*w\/((w**(-9)\/w)\/w))*w))*(w**(-1)\/w*w*w*w)**(-3\/19))**(-14\/5) assuming w is positive.\nAnswer: w**(6426\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3088, 13177, 29992, 53533, 83800, 120793?\nAnswer: 164512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d**2 - 6*d. Let s(p) = 9*p + 28 + 21 - p - 49. Determine h(s(o)).\nAnswer: 384*o**2 - 48*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -13772 divided by 313\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001101864199 rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and (-6)\/15 + 44\/10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85\/255*18\/4)\/(12\/(-32)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 21, 951 in ascending order.\nAnswer: 2, 21, 951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/(o**(-6)\/o)*o*o**(-8)*(o\/((o**(2\/5)\/o)\/o))\/(o\/(o\/o**0)*o) assuming o is positive.\nAnswer: o**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.44 - -46.7578.\nAnswer: 51.1978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-5) + 12\/30. Sort -1, u, 3.\nAnswer: -1, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v - 3 - 3*v - 3*v)*(18*v + 31 - 31).\nAnswer: 36*v**2 - 54*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 340\/357*(-10)\/(-5)*14\/8.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uux when three letters picked without replacement from xuxxxxxxxuxuxxx?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 99001, 98997, 98991, 98983, 98973, 98961?\n\"Answer: -s**2 - s + 99003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 10 - 8)*(-79*q - 7657 + 7657).\nAnswer: 1422*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50320, 27021, 3724, -19571, -42864, -66155?\nAnswer: -89444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/690 and 55\/4034361?\nAnswer: 40343610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(6*(sqrt(605) - (1 + sqrt(605))) + sqrt(605))*-2 + -1)**2*-3.\nAnswer: -276483 + 56232*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2) + 0)*0. Let t(d) = m*d - d + 2*d**2 + d. Let x(c) be the second derivative of -c**3\/3 + c. Give x(t(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.275 + 74.275. Let n = v - 73.6. Put n, -1\/7, 4, 2 in descending order.\nAnswer: 4, 2, n, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 48, 90, 146, 216?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from hhgthtmhhhhhhhh.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3871212*o - 1762360?\nAnswer: 3871212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-34)\/(-51) - (1\/(-3))\/((-17)\/(-82331)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -53047*g**2 + 672*g + 106280*g**2 + 4*g**3 - 52953*g**2 - 124*g + 272 = 0.\nAnswer: -68, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-288)\/(-312)*(-247)\/(-38)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 35 and 0.009.\nAnswer: 35.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 45564000 rounded to the nearest 1000000?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 5*m + 5*k, 1015509*k - 57 = 5*m + 1015505*k for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (-26 + 6)\/(-5). Let c(q) = q - 3. Let h be c(0). Is ((-7365)\/(-9))\/i*h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -127, -0.2, 3 in decreasing order.\nAnswer: 3, -0.2, -1\/4, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 1)*(-3*l + 0*l + 2*l) - 2*l + l + 3*l)*(-12*l**4 + l**4 + 0*l**4).\nAnswer: -33*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + (-2 + sqrt(2736) + 1 - (sqrt(2736) + -1 + 2*sqrt(2736)))*-4)**2.\nAnswer: 192*sqrt(19) + 175105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in seconds?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 32040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*w**3 + 4*w**3 - 6*w**3 - 5*w**3 + 4*w**3 - 2*w**3 + (-2*w + 0 + 0)*(-118*w**2 + 3667*w - 3667*w).\nAnswer: 219*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1641 = 3*b, 5*t - 2*t + 3*b = 1611. Suppose 0 = h + 3*j - t, j + 9 = 4*j. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1610 by 5.\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 228 and 166?\nAnswer: 18924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 306.989298 minutes?\nAnswer: 0.0304552875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/119*(28 - -6). Solve -3*g - 5*j - 11 = 7, f*g - 5*j = 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(128)\/sqrt(4)) - (sqrt(77)\/(sqrt(11) - sqrt(11)*-2) - sqrt(14)\/(sqrt(2)*-1))**2.\nAnswer: -112\/9 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1839801 + 628134?\nAnswer: 2467935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 4. Let n be 1\/4 + 15\/o. Solve -n = -k - 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-135)\/(-12) + (-635)\/(-20) + -13?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64.8 - 63.078. Let c = 1.7 - o. What is c rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1583\/14 - -113. Is -1 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(22\/7)\/l**(-9))**(2\/3) assuming l is positive.\nAnswer: l**(170\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - -17. Let v = b + 13. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 208018 or -141\/2?\nAnswer: -141\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 9.1. Put -4, n, 0 in descending order.\nAnswer: n, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-10) - 1659\/(-35). Suppose 4*c + a = -4*a + s, 2*c - 11 = -5*a. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 7*z**2 - z + 10. Give k(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3006 - 2981. What is the greatest common factor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -14 (c) -4 (d) 0.4 (e) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (2 - (5 - 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1258*f**2 + 4063*f + 627*f**2 + 629*f**2 to p + g*f + r*f**2 and give g.\nAnswer: 4063","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 6)*(-1 + 2 + 1)*(-50 + 16 - 13)*(-2 + 2*h + 2) to n + i*h and give i.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*q, 4*c - 4*q + q + 17 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 - o**2 - 3*o + 26. Let n be w(0). Suppose 0 = -n*b + 29*b - 162. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10131)\/(-20306) + 1\/(-2). Let m = q - -1883\/34151. Let u = m + -80\/111. What is the smallest value in -0.1, u, -1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45*w**2 + 6 + 2 + 55*w**2)*(13*w**2 + 14*w - 14*w) to the form k + q*w**4 + z*w + l*w**3 + f*w**2 and give q.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -7*m - 4*o + 50, 2*m - 3*o + 4 = 0. What is the greatest common divisor of m and 134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.8 * -9\nAnswer: 160.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 4:22 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3428 = 86. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*d + 5, 5*h - 69 = -2*d. Let u = -45 - h. What is the tens digit of 2 + (-1374)\/(-8) - (-45)\/u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/66 - -1 - (-2)\/(-11)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 146012*k**3 + k**2 - 2*k + 1272?\nAnswer: 876072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-18))\/((-20)\/16))\/((-3)\/(-36)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 2*k**3\/3 - 5*k**2\/2 + k. Let d(h) = 9*h - 11. Let p(a) = 6*d(a) - 13*r(a). Let o be p(3). Solve -20 = 5*u - o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-13026)\/(-12) + -7)*4\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -14*n**2. Let m(z) = 2*z**2 + 3*z**2 + 8*z**2. Let u(h) = -91*h + 11009. Let i be u(121). Give i*s(f) - 3*m(f).\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 8*c - 3*c - 1, 0 = -2*w + 3*c. Let o be (2 + -2)*(-10)\/(13 + -3). Suppose w*x - 3*h = 444, o*h = -5*h + 15. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2787797*b**3*m**5 - 47*b**3 + 420*b**2*m + b*m**3 - b*m**2 - m + 6 wrt m?\nAnswer: -167267820*b**3*m**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(1\/2)\/o))**(-18)*o**(-1\/9)\/(o*o**(-7)\/o*o*o))\/((o**0)**(-40))**(2\/117) assuming o is positive.\nAnswer: o**(-199\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 8, 7, 4, -1, -8, -17?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -49.920343?\nAnswer: -249.601715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 461 a factor of 4381805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2005256 and -25.7.\nAnswer: 51535079.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 8*b + 2. Let i be h(8). Suppose i*g - 40 = -2*g. What is the remainder when 19 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (12 + (-1 - (-6 + 7 + 3)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -194.09452 to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**5 - 1743*v**4 - 24018*v + 2.\nAnswer: -40*v**3 - 20916*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 28 = 221*l - 219*l, 0 = 4*y - 4*l - 56 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(12\/45))\/(3280\/4*11\/(-88))\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + 1*sqrt(11)).\nAnswer: -20 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + m + 3. Let h be w(-4). Suppose 2*r = -t + h, 3*t - r = 4*r - 10. Let c(o) = -5*o + t*o + 2*o. Let i(l) = l. What is c(i(x))?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18958 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 12:12 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**6\/120 - u**5\/10 - u**4\/4 - 5*u**3\/6 + u**2. Let y be x(7). Let b = y + -5. Put -5, -1, b in decreasing order.\nAnswer: -1, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14957 is divided by 174.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/5)\/(-8 - 328\/(-40)). Let g(k) = 2*k + 3. Let d = -15 + 23. Let h(r) = 0*r - 4*r - d + 2*r + 6. Calculate x*g(n) + 4*h(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 4:08 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 35*b = 40*b + 37, 20*d - 250 = 2*b. Solve -11*s = 23 - d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.9627 + -0.1357. Let b = -0.173 - v. What is the closest to -5 in 2, 2\/7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 10*w**3 - 2464*w**2 - 1430*w - 12839. Give a(247).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 - -3.2. Let r = -1.8 + -9.2. Let f = -15 - r. Which is the second smallest value? (a) y (b) 1\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/2 (b) -0.445 (c) 5 (d) -101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -238371, 3, 1 in descending order.\nAnswer: 3, 1, -238371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20074852 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: Is 18 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1606 - -4?\nAnswer: -1602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 482\/5 - (-6)\/(-15). Let l = 674\/7 - a. Put 4\/9, -3, l in increasing order.\nAnswer: -3, l, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11b6 (base 12) to base 11\nAnswer: -1568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2589?\nAnswer: 3, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 9:49 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 - -77. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*p - 4, q - 4 = -0*q + 2*p. Suppose -2*u + 6 = 3*h - h, 0 = 5*h + 3*u - 11. Solve i + q = h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/16)\/(-1)*(356\/12)\/((-278)\/1112)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17356 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcdtqqc. What is prob of picking 2 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -31. What is the remainder when 94 is divided by o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26948378 + 26923259.9936. Let g = 25146 + a. Let j = -28 + g. Round j to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 325\/2873 + (-12)\/52.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) 3\/8 (c) 1\/5 (d) 3\/16 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67 - 74. Let i(z) = -z**3 - 5*z**2 - 6*z - 19. List the prime factors of i(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.3759*0.2\nAnswer: 3.47518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 131151 - 25663?\nAnswer: 102155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/3)\/((-280)\/(-35)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -8 + (10 - -1 - 11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22239, 22135, 22021, 21891, 21739, 21559, 21345, 21091?\n\"Answer: -b**3 + b**2 - 100*b + 22339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - v + 32. Let l be t(-5). Suppose 0 = -l*r + 19*r + 21. What is the closest to 2 in -0.5, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -7*j**4\/8 - 2*j**3 + 2*j**2 + 6885. What is r(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k**2 + k - k**3 + 0*k**3 + 15*k**2. Let h be b(10). Let u = -1 + h. What is the remainder when 26 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uujbjbbuzbbuzuuuu. Give prob of picking 3 b and 1 u.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*q**3 + 2 + q**2 - 1 + 4 as k*q**2 + n*q**3 + g*q + b and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41126649 is divided by 1048.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + o. Let i = 186273 + -2420247\/13. Let r = 100 - i. Which is greater: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 10*l - q, 35 = 4*q + 47. Sort 13, l, -5, -180 in decreasing order.\nAnswer: 13, l, -5, -180","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -162713\/111624 + -3\/4651. What is the common denominator of n and 113\/10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-36)\/(-21) + -2)*(11 + -25). Suppose 2*t - 113 = -5*y, 5*t + 1 + z = 0. Calculate the remainder when 228 is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2424 - 2424.001139. Round c to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 144\/156 + -1 + (-15)\/(-195). Determine q so that -1\/2*q**4 - 3\/2*q**3 + 0*q**2 + 2*q + x = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1402187 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(15\/18) - 24\/(-30). Solve 3*x = -z*w + 2, w + 17 = 2*x + x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16957 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3 + 1. Let g = n - 0. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 + (-368 - 1)\/(-9). Calculate the greatest common divisor of d and 637.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3956*n + 3951*n - 25 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296 - 168 = -2*c. Calculate the remainder when c is divided by -4 + 48\/9 + (-612)\/(-27).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 14*a + 104 = 0. What is the smallest common multiple of a and 52?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.83 and 5?\nAnswer: 4.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -239 + 238.91. Suppose -24 = 4*r + 4*w, -3*r - 31 = w - 15. Which is the closest to -2? (a) 0.5 (b) x (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.2, -40 in ascending order.\nAnswer: -40, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1 - 13.8183698.\nAnswer: -12.7183698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 5:25 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -4\/3*m**3 - 1\/6*m**4 - 1 - 4*m**2 - 3*m. Let u(s) be the first derivative of y(s). Determine w so that u(w) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/4 + (-4)\/(-8). Calculate the greatest common divisor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 6*j + 5. Let c(d) = d**3 - 7*d - 9. Let s be c(-2). Let y(h) = -5*h - 4. Determine s*y(m) - 2*z(m).\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2*-2 + 323. Suppose -7*p + 2557 - w = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -3, -44, 348, -1.\nAnswer: -44, -38, -3, -1, 348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**2 + 22764*a + 64774962 = 0.\nAnswer: -5691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 36, 46, 70, 114, 184?\n\"Answer: m**3 + m**2 + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 796496 divided by -268\nAnswer: -2972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-74)\/(-527*(-116)\/136648 + (-2)\/(-38))\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4\/3)\/((q\/(q*q\/q**1))\/q))**18)**(20\/7) assuming q is positive.\nAnswer: q**(-120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6 - z - 6 + 2 + 3. Let q be (-1)\/((1\/7)\/1). Let f be u(q). Which is greater: -3\/5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k - 15. Let d(r) = -r - 8. Let h(l) = 11*d(l) - 6*p(l). What is h(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - z = -6836 - 10805, 5*u = -2*z + 44105. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*k + 1938 = 99*k. Is k*39\/(-6) - 18\/36 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, u: 1, g: 1, t: 1, v: 4, f: 3}. Give prob of picking 1 g and 2 v.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n. Let o(l) = 61*l + 69. Let s(v) = -o(v) - 6*w(v). Is s(-3) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 23*s. Let c(i) = -i + 95. Calculate c(m(k)).\nAnswer: -23*k + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (3 + -1)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -6\/19, 0.3, -2, 1 in ascending order.\nAnswer: -2, -6\/19, -1\/5, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8590, 8834, 9080, 9328, 9578?\n\"Answer: f**2 + 241*f + 8348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -751, -2083, -4249, -7495, -12067, -18211, -26173, -36199?\nAnswer: -48535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 2, 19, 52, 107, 190, 307, 464?\nAnswer: 667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37\/(-8))\/(618\/(-1236)).\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 5\/6, -3178, -1\/7?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 408 and 1088?\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*m**6 - 4*m**4 - m**2 + m wrt m?\nAnswer: -1080*m**3 - 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**5\/60 + s**4\/6 + s**3\/3 - 28*s**2. What is p(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1123879124, -1123879122, -1123879120, -1123879118, -1123879116?\nAnswer: -1123879114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -130*f. Let x(a) = -3103*a**2. Determine x(q(p)).\nAnswer: -52440700*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1524, 1503, 1470, 1425?\nAnswer: 1368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -518339.4 to the nearest 1000.\nAnswer: -518000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -42 + -47229?\nAnswer: -47270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38868*y = -38668*y - 400 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 18*l + 3. What is i(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**33\/(j**4*(j\/(j**(2\/3)*j))\/j)*((j*j*j**(-1))**47)**28 assuming j is positive.\nAnswer: j**(3941\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**2 - 2*x + 3. Let u be n(-3). Let k = u - -38. Suppose 5*o - k = 18. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 2055*z - 219678.\nAnswer: 3*(z - 779)*(z + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -4*w - 3*a, -4*a - 12 = 3*w + 26 - 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(13) - ((sqrt(91) + -2*sqrt(91))\/sqrt(7) - sqrt(13))).\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/1 + 6 + -3. Let w be s + -2*(-3602843)\/(-2). Let b = 1197156 - w. Round b to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153790451 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: Let d = 1.002 + 0.098. What is the biggest value in 4\/5, 4, d, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -41?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - 0.3. Let m = q - 0. Let f = -3\/20 + 67\/180. Which is the smallest value? (a) 0.3 (b) m (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4713, -4625, -4537, -4449?\nAnswer: -4361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 28) + -14 - -11.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17535?\nAnswer: 3, 5, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/2921721 and 53\/4257?\nAnswer: 8765163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 104?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*w - 178 = -295 - 506. Solve -5*y - 3 = 2*d, -2*d - 2*y = -y + w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**8\/20160 + l**5\/60 + 8*l**2. Let c(s) be the third derivative of k(s). Let n(p) = 8*p. Give c(n(x)).\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*b**2*l**3 + 6*b**2*l + 698*b*l**2 - 6*l**3 wrt b?\nAnswer: -80*l**3 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28660478 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 - -79. Suppose 31 = o*q - 46. Solve 0 = -z + 2*l + q, -5*l - 11 = 3*z - 0*l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -397 (c) 0.038 (d) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -2*j**3 - 1507. Let v(y) = -63*y**2 - 1. Calculate v(a(m)).\nAnswer: -2268*m**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 34530?\nAnswer: 34530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1181425?\nAnswer: 5, 7, 43, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32809.\nAnswer: 7, 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42*c**4 + 102 + 3*c - 127*c**4 + 43*c**4 + 54*c**4 wrt c.\nAnswer: 48*c**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111 (base 3) in base 6?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 10. Let m be d(10). Let x = -21 + 36. Suppose -4*b - 2*w + 39 = w, 3*w - x = m. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.225 times 58846?\nAnswer: 248624.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (-16 + 9)) + 9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*i - 186.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*2\/3)\/((-63)\/(-108)*28).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/1242297 and 0.7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/5977320 and 26\/297.\nAnswer: 591754680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, 101, -3, 2 in increasing order.\nAnswer: -131, -3, 2, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -51*g**3 - 5*g**2 + 5*g. Let f(d) be the second derivative of 217*d**5\/10 + 7*d**4\/2 - 7*d**3 - 226*d. Calculate 42*a(s) + 5*f(s).\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2. Let j(p) = -11*p + 4. Let l(k) = -90*k + 33. Let v(t) = -33*j(t) + 4*l(t). Determine d(v(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 divided by -26?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -171, -332, -493, -654?\n\"Answer: -161*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 535 - 174 - 179 - 111*f**3 + 112*f**3 - 182.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 1013*r**2 + 114*r + 340. Is k(-3) a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -243\/11 + 1404\/77. Suppose 0 = -0*s + 2*s. Find the common denominator of 25\/((s - 16) + -2) and g.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5345303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9704, -19410, -29116, -38822, -48528, -58234?\nAnswer: -67940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13370058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 175*l**2 - 189*l**2 - 8 + 8. Let g(p) = 6*p. Give g(n(t)).\nAnswer: -84*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 2*x, -3*h - 4 - 27 = 5*x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464549 is divided by 1960?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 12625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 269c - 2a?\nAnswer: 2672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -303182, -1213136, -2729864, -4853366, -7583642?\nAnswer: -10920692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1, 3, 1.45, 0.029, 13\/50?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/13 or 0.021?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(1\/(-6)*-4). Suppose -o = 5, s - 3*o - u = -4*s. Let 4\/11*z**2 + s + 2\/11*z**3 + 0*z = 0. Calculate z.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 6*f**2 - 4*f - 7. Let c be q(-6). Suppose -3*r - c = 16. Let s = r + 30. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 0 + 11\/6*o**3 + 1\/6*o**4 - 12*o + 15\/2*o**2. What is the tens digit of i(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbdw when four letters picked without replacement from {w: 2, q: 2, d: 2, b: 3}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 411 + -392. Suppose -h*k + 10 = -24*k. Suppose -x = 2*x + 66. Let u(z) = 9*z - 11. Let n(d) = -d + 1. What is k*u(l) + x*n(l)?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.77 at most as big as 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 578 (b) -0.2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, c: 1, m: 1, j: 1, z: 1}. Give prob of sequence jzg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**5\/20 + n**4\/2 - n**2\/2 - 25*n + 2. What is u(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -88424 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -8*o + 44 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259, 259, 261, 265, 271, 279?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.0022 and 59.4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*j + 222*j - 685*j + 231*j - 2*j**2.\nAnswer: -2*j**2 - 18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.1344.\nAnswer: -0.0672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7490 is divided by 67?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3009904514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3311 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*j. Calculate the remainder when 1\/(2\/40 - j) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 9*o**2 - 8*o + 9. Let v be q(-8). Let x be (-88)\/(-5) - 3\/5. Let u = 27 - x. Is v at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1920*t - 1925*t - 25 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-6)\/(-3) + 18. Suppose 18 = 5*y - v. Let d = y - -8. Solve 5*c = c + d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 0*y**3 - 1\/25*y**5 - 1\/5*y**2 - 8 + 1\/10*y**4 + 1\/5*y. Factor n(z).\nAnswer: -(z - 1)**3*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/6 - 1169\/(-42). Let p = -26 + o. Suppose 89 = 4*k - p*l - 45, -5*l = -3*k + 118. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888680 is divided by 267?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.17 - -0.27. Suppose -v - 4*m = -16, 0*v + 4*m = -2*v + 20. Which is the closest to -0.3? (a) t (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from eeeeeeeeeeeeeeeejee.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -1\/120*w**5 + w + 0 + 1\/24*w**4 - 1\/12*w**3 - 1\/2*w**2. Let y(b) be the first derivative of s(b). What is c in y(c) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/5 and 143\/72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524022 is divided by 174626?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - p**2 - p - 4. What is the units digit of y(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-1\/4))\/f)**(-27\/2)\/(((f*f*(f\/(f\/f**(1\/10)))\/f*f)\/f)\/(f\/(f*f**(-4)*f))))\/((f**(-1)*f)**42)**(-6\/19) assuming f is positive.\nAnswer: f**(-59\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/6990 and -61\/20.\nAnswer: 13980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/2)\/((-870)\/87))\/((-6)\/(-8)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -3. Let a = -2.03 - -0.03. What is the second biggest value in v, -0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93525?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3*t + 162, -x - 33 - 12 = -2*t. Which is smaller: x or -48?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 5*v + 3*v)*(-6*v**4 + 2*v**4 + 2*v**4) + 1182*v**3 - 1182*v**3 + 5*v**5.\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 739200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 7. Let x = -26 + 19. Let h be z(x). Let q be (-2 - (8 - 11))*(1 + 0). Sort q, h, -4, 4 in descending order.\nAnswer: 4, q, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**3 + 27*d**2 - 160*d - 6. Is h(-27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -786 - -42326?\nAnswer: 41a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9535 + -9601. Suppose 5*i - 73 = -4*g - 401, -3*i - g = 201. Let h = i - o. Which is smaller: -10\/13 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {y: 5, r: 1, z: 2, k: 1, o: 2, a: 5}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/38899 and -35\/11114?\nAnswer: 77798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(52)\/sqrt(4) + -2) - (((sqrt(637) - (2*sqrt(637) + sqrt(637) - sqrt(637))) + sqrt(637))**2 + sqrt(637) + -3).\nAnswer: -11*sqrt(13) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlbrbbcwlcwdwwcww. Give prob of sequence br.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 20*a**2.\nAnswer: -2*a**2*(a - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*f - 54. What is the remainder when 20 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(10\/(-55)) - (-18404)\/1720.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(17) + -1)**2 + -4.\nAnswer: 12*sqrt(17) + 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2150 and 450.\nAnswer: 19350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24243*y**4 + 215065*y.\nAnswer: -290916*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64*i**3 - 997 - 249*i**3 - 288*i**3 wrt i.\nAnswer: -1419*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -50102 and -4?\nAnswer: 50098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 3:16 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 878973.4 centuries in months?\nAnswer: 1054768080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 2*p**2 + 2*p + 2. Let g = 896 + -898. Let a(x) = x**3 + x**2 - x - 1. Calculate g*d(q) - 4*a(q).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**5\/30 + 5*x**4\/8 - 53*x**3\/6 - 5*x. Let u(h) be the second derivative of a(h). Determine u(10).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-341)\/62 + -10)\/((-3)\/(-11 - -5)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14000086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.202702*-0.3\nAnswer: 0.0608106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13783, 15359, 17973, 21625, 26315, 32043?\nAnswer: 38809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 305?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.66 - -0.46. Which is the nearest to l? (a) 6 (b) -6 (c) 0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63788 is divided by 602.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 98 divided by 98\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -628 less than or equal to -2132410\/3399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - n - 1. Let v(l) = -4*l**2 - 4*l - 9. Let m(b) = -5*j(b) + v(b). Calculate the remainder when 21 is divided by m(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 0 - 7\/2*x**2 + 4*x + 0*x**4 - 2\/15*x**6 + 0*x**5 + 0*x**3. Differentiate p(o) wrt o.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 128\/43 - 36\/12. Let a(l) = -66 + 4*l - 18*l + 11*l. Let r be a(-22). Is m at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1130 + 342?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-9))\/((-3)\/(-9)). Let h be s\/(-3)*(-12)\/8. Suppose h*r - 16 - 16 = 0. Sort r, -3, -1 in ascending order.\nAnswer: -3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*d - 153*d + 26 = -5*o, 12 = -3*o for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2465.609 to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-25) - 177\/5. Is 1778\/10 - (-28)\/t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47357 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 c when three letters picked without replacement from xxxcxxxcxx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0496 * 894093.\nAnswer: 44347.0128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5866499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107089281 by 11898809.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -236910 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 3:39 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 1:40 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 112166501 to the power of 1\/3, to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.67879 to the nearest integer.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 11:40 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*o + 6*o = -3*o + 732 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -4918.\nAnswer: 5\/4918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b - 2*b + 0 + 2 + 32*b - 6*b + 0*b + (0*b - b - b)*(5 - 2 - 2).\nAnswer: 22*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 8*p**2 - 16*p - 12. Is b(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4019, 3, 5 in decreasing order.\nAnswer: 5, 3, -2, -4019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 + 3*i**2 - 2*i**2 + (-2*i**2 - i**2 + 5*i**2)*(-3 + 0 + 1) + (-3*i - i + 3*i)*(-i - 3*i + 7*i)*(4 - 4 - 2).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*a**3 - 7\/6 + 17\/6*a - 13\/6*a**2.\nAnswer: (a - 1)**2*(3*a - 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -275*258\nAnswer: -70950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in -3, -0.1, 291?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 + 35. Let n = -1212 + 1252. Let t = a + n. Solve t*w = 8*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 3*o + 2. Let m be v(-4). Let p(w) = w**2 + 3*w + 1. What is the remainder when p(-6) is divided by -1 + (-3)\/((-6)\/m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1108*f - 78 = -1111*f for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 217 - 213. Suppose -c + 228 = -5*v, 5*v = 3*c - z*c + 198. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2461*b**2 - 1677*b**2 + 1907*b**2 - 4 + 4 + b**2 + (-2*b**2 + b**2 - b**2)*(-7 + 3 + 2) - 3*b + 3*b + 2*b**2 to q*b**2 + k*b + t and give q.\nAnswer: 2698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-100.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 432\/5 greater than 85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -6931 = -6931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 25491283 - 25491283 - 136*b. Let s(x) = 12*x. What is y(s(c))?\nAnswer: -1632*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1410694981?\nAnswer: -1410694983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/5 of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2. Let m(f) = 6163*f**2 - 6*f + 9. Let v(n) = 12326*n**2 - 10*n + 15. Let x(y) = 5*m(y) - 3*v(y). What is x(d(h))?\nAnswer: -24652*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7696577 + -0.06597\nAnswer: 7696576.93403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3716862311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -46, -185, -400, -679, -1010, -1381, -1780, -2195?\n\"Answer: 2*c**3 - 50*c**2 - 3*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3 - 9 = 0. Let g be -3 + (-7)\/p - -1. What is the nearest to -1\/4 in -4, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from zvkvkzfvkzkfkkv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -61, -66, -71, -76?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 0 + (11 + -2 - (45 - (22 - -5))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 974531 divided by -330\nAnswer: -974531\/330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -23 - -47 - (12 - 20 - (-9 - 40))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 2*a**3 + 9 + (-2 + 12 - 2)*(0*a**3 + 2*a**3 + 0*a**3))*(-2*a**2 - 2 + 2).\nAnswer: -36*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -2 (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*p**2 - 1\/6*p**3 + 0*p + 0.\nAnswer: -p**2*(p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 27*j**2 + 0*j - 77\/120*j**6 - 1\/30*j**5 + 0*j**4 + 0 + 14\/3*j**3. Find the third derivative of z(s) wrt s.\nAnswer: -462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.38 * -1331412.\nAnswer: -505936.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-192)\/154 - (-32)\/(-176))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9337028*o**5 - 1949689*o wrt o?\nAnswer: -186740560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 354 and 268606?\nAnswer: 47543262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(6\/48)\/(196\/(-336))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - ((-2 - -6 - 1) + -6)) + -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1908 by 2219.\nAnswer: -1908\/2219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 101563507 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiiiiiiiiiiid?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 2247.\nAnswer: 13482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0636 to three dps.\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.1, -1\/2, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -s - 2, 2*q - 6 = 4*s. What is the nearest to 2\/7 in q, -0.4, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01 + 0.41. Let g = 88 + -169. Let j = g + 81.1. What is the third biggest value in -5, j, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -73, -162, -287?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (320\/2800)\/(-1*2\/5).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, b: 10, j: 2}. What is prob of picking 2 f and 1 b?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 6*i - 24. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -0.65, 0.5, -4, 4\/23, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 4. Let g be v(-9). Let q = 0 - -3. Let s = -239.1 + 239. What is the nearest to q in g, s, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 17997.5.\nAnswer: 8998.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from {n: 1, f: 4, t: 2, y: 3, x: 7}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 3*u + 2. Let o be v(2). Factor -2\/5*d**5 - 4\/5*d**4 + 0*d**2 + 0*d - 2\/5*d**3 + o.\nAnswer: -2*d**3*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -3441\nAnswer: 14\/3441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s + 25. Determine g(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-7)*i)\/i)\/(i\/(i\/i**(-13))))\/(i**(1\/4)*i**(2\/3)) assuming i is positive.\nAnswer: i**(61\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from {z: 6, j: 1, k: 8, s: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14272154 times -3?\nAnswer: -42816462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millisecond in microseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5280000)\/12)\/(1\/20 - 0). Round h to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -y + 17, -3*d + 6*y = 3*y + 3. Suppose x = h - 232, -167 = d*h + 4*x - 1135. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -92*u + 59. Is x(-30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/22 (b) -18\/1991 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253, 262, 271, 280, 289?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*d - 24 = -131*d. What is the least common multiple of 4 and (-81)\/d + 9\/(-24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3, 0, 4 in increasing order.\nAnswer: -3, -0.2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 77409209443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 46. What is the units digit of 6\/4*i\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 6:49 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28025*i**2 - i - 33705 wrt i.\nAnswer: -56050*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuiuui. What is prob of sequence uiu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/5, 0.13, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2541, 3718, 4889, 6054, 7213, 8366, 9513?\nAnswer: 10654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 360850\nAnswer: -1\/72170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*j + 44*j - 1908 = 78*j for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-290)\/(-58))\/(-8*11\/880)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*s = 1. Let f(d) = 63*d**3 - 2*d**2 + 1. Let p be f(s). Suppose 3*b + 0*b - 78 = -3*m, 0 = -3*m + 5*b + p. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -5*r + 5, -9990*r = 5*g - 9991*r - 19 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(891))*-1*4)**2.\nAnswer: 864*sqrt(11) + 14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 57690.877 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3539292?\nAnswer: 2, 3, 59, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 863391*((-56)\/(-14))\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -24*f + 1. Let y be a(2). Let z be 2 + (-2)\/2*y. Let t = -27 + z. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/95 and 11\/4.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, -0.16, -296?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 24 = 0, 21*r = 5*a + 28*r - 50 + 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-12)*10*(-2 + 4). Let g be 1\/1 - (-2)\/q*5. Solve 4*n = -2*z - 24, z + 20 = -n - g*z for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-35)*k)**(-36) assuming k is positive.\nAnswer: k**1188","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 - 49*x - 22. Let i be c(-24). Suppose -k = -3*s - 12, 0 = k + i*s + 1 + 2. Let u be (-4)\/1*1*-1. Solve -u*l = -7*l + k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + -16. Let v be 6\/(-15)*u\/20. Let k = -6 + 10. Which is the nearest to 1? (a) v (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -84. Let k = c + 55. Put 2\/3, k, -0.5, 10 in decreasing order.\nAnswer: 10, k, 2\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222, 1799, 4426, 8103?\nAnswer: 12830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 37 + 193 = 0. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 2*u + 3. Let s = 49 - 39. Is m(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1011001111?\nAnswer: 1011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6119*c**2 - 47*c - 651*c**2 + 23*c + 25*c as x*c + y + v*c**2 and give v.\nAnswer: -6770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96474146?\nAnswer: 2, 48237073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/25)*k**(-1\/4) assuming k is positive.\nAnswer: k**(-33\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfx when three letters picked without replacement from {n: 7, x: 5, w: 1, r: 1, f: 2}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 3*d**2 - 2. Let x be p(-2). Suppose 0 = -l - 4 + x. Is l equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -195 + 19. Let r = 267 + s. Let z = r + -91.00000184. Round z to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20727 and 677646?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(3\/8)*a))**10*(a**(-15))**25 assuming a is positive.\nAnswer: a**(-1515\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6025\/4 - -1497. Suppose 2*a + w = 6*w + 2810, -5*a + 2*w = -7067. What is the common denominator of l and (-2)\/(-3) + a\/330?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**2 + 3*p + 2*p**2 + 2*p**2 - 7*p. Let t be s(-3). Find the second derivative of -3*q + q + 6*q + 4*q**3 - q**t wrt q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69.9 - -74. Let q = -4.5 + u. Let z = -23 + 18. Put q, -6, z in ascending order.\nAnswer: -6, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o**3 + 55*o**2 - 61*o - 25. Let t(c) = c**3 + 11*c**2 - 12*c - 5. Let s(k) = -11*t(k) + 2*z(k). Determine s(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0344834558 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*d + 101, 0*d = -2*d + 3*i + 47. Suppose -4*r - 3 = -147. What is the remainder when r is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -3, -1, 318\/11, -0.4, 12 in ascending order.\nAnswer: -3, -1, -1\/2, -0.4, 12, 318\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(6\/(-2) - -1). Let q = s + 3. Calculate the remainder when q is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 719540 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 8. Let z = -896 - -988.6. Let x = -93 + z. What is the third smallest value in 2\/9, x, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 477*t**3 - 236 + 325 - 485*t**3.\nAnswer: -8*t**3 + 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*z + 630 = -74*z. Let a(s) be the third derivative of 1\/60*s**5 - 1\/8*s**4 - z*s**2 + 0*s + 0 + s**3. What is a(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2349 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 11187 to the nearest 100.\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 10:03 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(76)*-5 + (-4*(sqrt(76) - sqrt(76)*1) - sqrt(76)) + sqrt(76) + sqrt(76))\/((1*sqrt(1024))\/(sqrt(32)\/(sqrt(8)*2))) + 1)**2.\nAnswer: 11*sqrt(19)\/8 + 2555\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v - 4*b = 6, 9 = 4*v + b. Let d be (770\/5)\/(1\/v). What is the greatest common factor of 28 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111010101110 (base 2) in base 8?\nAnswer: 7256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4*(-1 + 3). Let v be (q + (-6)\/3)*-1. What is the third derivative of 24*a**3 - 3*a**5 + 4*a**2 - 24*a**v wrt a?\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 72*p + 49*p)*(-2*p + 3*p - 3*p).\nAnswer: 46*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**6\/240 + o**5\/120 + 5*o**4\/12 + o. Let m(a) be the third derivative of c(a). What is the first derivative of m(b) wrt b?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3183 - 3182.5. Put -1, -2\/7, u, 64 in descending order.\nAnswer: 64, u, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 8:42 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(1573)) - (sqrt(1573)*-2 + 4 - sqrt(1573)))**2 + sqrt(1573) + (-1 + sqrt(1573))**2 + 3 + -4.\nAnswer: -11*sqrt(13) + 78650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.9 + 6.5. Which is the nearest to 3? (a) 1 (b) o (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 402 and 301232?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3088 divided by 62.\nAnswer: -1544\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h + 16697*h**2 + 101096 - 9*h**3 - 5*h - 101096 - 16697*h**2.\nAnswer: -9*h**3 + 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 14. Let g(t) = 3*t**3 + t**2 + 3. Let z(k) = -4*k**3 - k**2 + k - 4. Let w be 26\/6 - (-5)\/(-15). Let s(d) = w*z(d) + 5*g(d). What is s(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, z: 2, i: 1, f: 2}. Give prob of picking 2 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 + 3 - 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 7) + 1 + -1 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4 + 248 = 0. Let u = f + -71. Let r = u - 35. Solve 0 = 2*b + 2*b + r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*m + 1846*m**2 + 30*m + 42713*m**2.\nAnswer: 44559*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1402*g**2 - 100*g**2 - 1339*g**2 + 426*g**2 - 6941*g**2.\nAnswer: -9356*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 3*f + 4. Let y be (-3)\/((-15)\/f - -3). What is the biggest value in 3, y, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1 = 13. Suppose -87*a + 90*a - 135 = 0. Suppose -24*m + 15*m + a = 0. Solve -j*c + c - m = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2253.88*-991.\nAnswer: -2233595.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 123 times 0.5\nAnswer: 61.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -117 in -2, -8.6, -2\/5?\nAnswer: -8.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 68141 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 15*m**2 + 16*m - 9. Let l be o(-16). Does -8 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-5) + 124\/105. Let l = -2\/105 - a. What is the second smallest value in 2, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71629888 to the power of 1\/3, to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.90605 centuries to millennia.\nAnswer: 4.790605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 + 4*n**5 - n**5 - 2*n**5 + 2*n**5 + 3*n**5 + (n**3 + 5*n**3 + n**3)*(0*n**2 - 2*n**2 + 3*n**2).\nAnswer: 12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -f - 3 + 0*f + f**2 - 2*f**3 + 7*f**3 + f**4 - 7*f**3 as n*f**4 + v*f**3 + r + p*f**2 + t*f and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13667.\nAnswer: 79, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 13 + 17)*(6 + 1 - 1)*(-i**2 + 2*i**5 + 2*i**5 - 6*i**5).\nAnswer: -312*i**5 - 156*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 10402244 and -54.\nAnswer: 10402190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 14) + 6 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 22. What is the remainder when l(0) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000000 (base 2) in base 14?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 3*w + 109158, 3 = -w - 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 0 + 7\/20*o**5 + 0*o - 11\/70*o**7 + 7\/4*o**4 - 5*o**2 - 23\/80*o**6 - 5\/224*o**8 + 2*o**3. Let w(f) = 0. Calculate f.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34787\/1027957 + -1\/17423. Suppose 0 = -3*s + 20 - 5. Suppose -4*z + 7*z + 25 = -5*f, 0 = 5*z - f - s. Is z > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -3*j**5\/10 + 19*j**4\/12 - j**3 - 12017*j**2\/2 + 11354*j. Differentiate u(v) with respect to v.\nAnswer: -18*v**2 + 38*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7*(-7)\/(49\/(-30)). Calculate the highest common factor of b and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -285836084 by -382.\nAnswer: 748262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = z, -12*m - 9*m + 33*m - 16*m + 66 = 5*z for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 + 830 - 3*q**3 + 1050*q + 346 + q**2.\nAnswer: -q**3 + q**2 + 1050*q + 1176","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 5 + g + 9*g - 14 + 16 - 7*g.\nAnswer: 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 6 = g, 3*g - 44 + 34 = -v. Solve -8*y + 12 + g = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.805122552 - 41122851611.805122552. Let t = b + 41122851408.99999901. Let p = 199 + t. What is p rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 460072*d**2 - 598757 wrt d.\nAnswer: 920144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12251130 (base 6) in base 2?\nAnswer: -1100000100100011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/(-2))\/((184\/8)\/23))\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -13. Let l be 2\/(-8) + (-9)\/(-4). Let j = y + l. Let s(a) = 4*a. Calculate s(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.71692 - 0.31692. What is the fourth smallest value in 0.666, l, 4\/9, 2, 0?\nAnswer: 0.666","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2355177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, -0.062, 2\/9, 6 in ascending order.\nAnswer: -1\/10, -0.062, 2\/9, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -5. Let o be 3\/q*(4 - -2). Let f(t) = -t**3 - 6*t**2 - 5*t + 2. Let s be f(-5). Calculate the highest common divisor of s and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) -0.3 (c) 2\/3 (d) 48 (e) -5 (f) -414\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnynpynnfnpfnfynnynf. Give prob of picking 1 p and 2 n.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 86, 76, 66?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 9*v - 1. Let f be i(7). What is the highest common factor of f and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.778 rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3995407 nanograms in kilograms?\nAnswer: 0.0000000000003995407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 37, -5, -2, 2.\nAnswer: -5, -2, 1, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*b - 1668 - 732 = 0 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 8 = 0, -2*i + 11296 = 2*m - 106898. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2551 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35915 + -1.353996.\nAnswer: 35913.646004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2. Let q(h) be the second derivative of 25*h**4\/24 + h**3\/3 + 56*h**2 + 4*h + 11. Let x(s) be the first derivative of q(s). Determine x(u(g)).\nAnswer: 50*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/3)\/((-20)\/(-3)). Is 1 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.4, -16, -1, -1981, 73?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/9)*j**(-2\/13)*(j\/(j\/j**0))\/j**(4\/9))\/(j**(1\/3)*j*j\/(j*j**0)*j*j)**30 assuming j is positive.\nAnswer: j**(-11744\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3806400 by -276.\nAnswer: -317200\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3 - 78312*z**2 - 313272*z - 313280 = 0.\nAnswer: -2, 39160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 24945246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -203325 divided by -8\nAnswer: 203325\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 2*s**3 + 213*s - 1 - 2*s**4 + 3*s**3 - 215*s as v*s + t*s**4 + r*s**2 + u*s**3 + a and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 11:58 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 145?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h - 15 = -15*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-756)\/14*51\/(-102)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p = 6. Let y(k) = k**2 - 3*k + 1. Let o be y(p). Let v = 647.5 + -648. Which is the third biggest value? (a) o (b) v (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 12:21 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - 53 - -44 - (29 - 0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ov when two letters picked without replacement from {v: 1, o: 4, d: 5, k: 3, p: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*r - 11072 = -52*r. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v + v**3)*(-1 - 3 + 1)*(-1 + 0 - 2*v + 0*v) + (86 - 81*v - 86)*(2*v - 2*v - 3*v**3).\nAnswer: 249*v**4 + 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d + 5*d = 152 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -7*n - 6. Let v be (-4 + 203\/2)*6. Let i = 9940\/17 - v. Is n at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.11 times -0.5?\nAnswer: 4.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.3 take away -1631.2?\nAnswer: 1650.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -6. Suppose -5*w + 5*o = 2*o + 6, -5*w - 3*o - 24 = v. What is w rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 5*d**2 + d - 7. Let t(k) = -3*k + 15. Let s be t(4). Let v be h(s). What is the highest common factor of 85 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 2, -2, -104, -5, 5, 23 in descending order.\nAnswer: 23, 5, 2, -2, -5, -10, -104","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7\/f)\/((f*(f\/(f**(1\/6)\/f))\/f)\/f)*f**(-11)*f**6*f assuming f is positive.\nAnswer: f**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 48*m + 436. Give i(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 5*k + 28 = 0, -95*a + 4*k = -92*a + 19 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 359.29 - 0.01?\nAnswer: 359.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (175\/75)\/(7\/(-21)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 156970965440?\nAnswer: -156970965440.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 8) to base 15\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2678)\/(-618))\/(21\/63*4\/(-16)*-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010101011011001110 (base 2) to base 4.\nAnswer: 3111123032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10921424 and 25424?\nAnswer: 3632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/52549 and 69\/54404?\nAnswer: 408410828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 3*x + 96, 21215*w = 21216*w + 5*x + 167 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 24) + (0 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38484907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 3:55 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 98221457?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q + 2*q + 3*q**2 + 51 + q**4 - 19 + q**3 - 64 to g*q**4 + d*q + k*q**3 + w + a*q**2 and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87.64, 1, -23 in descending order.\nAnswer: 1, -23, -87.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 200050 + -200023. Let g = 2 + 7. Calculate the greatest common factor of g and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/16 and 29\/9098.\nAnswer: 72784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/6)\/((-3)\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-733)\/(-6597))\/(1\/21).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from {s: 4, o: 4, w: 7}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + -2)*-2)**2.\nAnswer: -128*sqrt(13) + 3344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1423161 + 259*z - 511*z + 252*z + 2*z**2 + 1423161.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -315353 (base 7) to base 3\nAnswer: -2210001202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104050092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (288\/14)\/(9\/((-189)\/2)). Let n = -1725\/8 - v. Let x = 53\/56 - n. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = r + 4380 + 7390, 2*x = 4*r + 11782. What is the greatest common divisor of 111 and x?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131 divided by 66.\nAnswer: -131\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155627479 is divided by 190?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -109834411377 - -109834227428.319978. Let w = r - -183949. Let j = w - 0.32. What is j rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**7\/840 + b**4\/3 - 6*b. Let a(g) be the third derivative of m(g). Let n(y) = -2*y. What is n(a(j))?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/15052 and -42\/4615.\nAnswer: 978380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-2)\/2 + 1. Suppose g*p + 7 = -5. Let l = 4 - p. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-nine fifths of a gram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**4 - 11150*z**3 + 6171240*z**2 + 50187150*z - 56347245 = 0.\nAnswer: -9, 1, 1119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4416130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 5*p**6 - 12*p**2 - 41. What is the second derivative of r(a) wrt a?\nAnswer: 600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 442 + -232. What is the highest common factor of 30 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35006446 and 2350?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {a: 6, y: 5, z: 4, t: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 3*(-5 + (-2*(sqrt(432) + sqrt(432) + -2) - sqrt(432))))*-2 + 5)**2.\nAnswer: 5040*sqrt(3) + 388849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 20*x + 20. Let a(l) = 7*l + 7. Suppose -3*o - 3*c + 62 = 2*c, 3*o - 4*c - 26 = 0. Give o*a(r) - 5*i(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -22*j**2 - 8*j + 8. Let w(c) be the third derivative of -7*c**5\/60 - c**4\/8 + c**3\/2 + 144*c**2 - 41*c. Determine 4*t(u) - 11*w(u).\nAnswer: -11*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1773*a - 2099*a - 2021*a to d + m*a and give m.\nAnswer: -5893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 - 45. Suppose 220 = m*i - 320. Round i to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -32. Suppose -4*d = -u*d - 5*d. Suppose d = 2*b - 16 - 8. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 + 50. Suppose 5*g - 24 = -j*g. Suppose g*f = -3*i + 2454, 5*f = -10 - 5. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -51\/46? (a) -5 (b) -0.1 (c) 1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 36. Let s = -16 + w. Is s < 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -16, -10, 11, 0 in increasing order.\nAnswer: -16, -10, -1, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a - 3. Let v(m) = -66*m - 75*m + 6 - 66*m + 197*m. Determine -6*v(j) - 11*w(j).\nAnswer: 5*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**3 + k. Let b be c(-1). Is 4 a factor of 780\/66 - b\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + -19?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 2:34 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(32)*-3)**2.\nAnswer: -96*sqrt(2) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/4)*y*y)**(-32))**46*y\/y**0*y**(2\/15)*y*y**(-3\/4)\/y*y**3 assuming y is positive.\nAnswer: y**(-242677\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1162798 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*a - 2*a**4 - 7*a + 6*a**3 + 3*a**3 - 2 in the form q + d*a**4 + l*a + s*a**3 + t*a**2 and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**4\/12 + 795*z**2. Suppose -3*i = 5*g - 2*i - 13, -3 = -3*g - 3*i. Let f(m) = 3*m - 3*m - g*m. What is j(f(k))?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 5)*(281*z**2 + 48 - 284*z**2 + 50).\nAnswer: 6*z**2 - 196","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 108 + -109. Sort -1\/9, k, 4, -2\/19.\nAnswer: k, -1\/9, -2\/19, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvtvvvvvvvvtvtv. What is prob of sequence tvvt?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*g + 375. Let u(x) = x**2 - 89*x + 927. Let k be u(12). What is the highest common divisor of k and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 262, -58, 0 in ascending order.\nAnswer: -58, 0, 2, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + v - 4. Let l(s) = 5*s**3 + 7*s**2 - 4*s - 15. Let t(p) = -3*a(p) + l(p). Let u(f) = -f**3 - 3*f**2 + 3*f + 1. What is 3*t(c) + 7*u(c)?\nAnswer: -c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1101 divide 798225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -34 + 34 - d - d**2. Let x be ((-40)\/200)\/(2\/(-20)). Let p(n) = 0*n - x - n + 3*n - 4*n**2 - 8*n. Give 6*k(y) - p(y).\nAnswer: -2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13984\/136 - 612\/(-3468)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11169*o**2 + 11911*o**2 + 615*o**2.\nAnswer: 23695*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16448, -33849, -51266, -68705, -86172?\nAnswer: -103673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = o - 20, -3*o + 12*j - 4 = 13*j for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -49. Let d = 58 + k. Let m be (3\/(-9))\/(d\/(-189)). What is the greatest common divisor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-147)\/(77\/11)*2\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179944?\nAnswer: 2, 83, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47 - -1) + (-3733 - -3767)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**2 + 102*i - 5. Let j(d) = 3*d**2 + 107*d - 6. Give 4*h(t) - 5*j(t).\nAnswer: t**2 - 127*t + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 879*a - 412. Is t(12) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6*(-23)\/((-1840)\/64)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 - (69 + -58 + (-1 - 12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = g + 497, -6*b + 3080 - 161 = 3*g. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 12. Suppose 3*m + 24 = 57. Let h = s + m. Solve 0 = -2*n + h - 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*a, -v = -2*v - 3*a. Let b = -2 - v. Put -1, b, 5 in increasing order.\nAnswer: b, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1125 is divided by 431.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 122228888.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -o + 2. Let u = o - -8. Let i(v) = u*v**3 + 3 + 0*v**2 - 3*v**3 - 3*v**2. Let t(z) = 2*z**3 + 5*z**2 - 5. Give 5*i(y) + 3*t(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 5*s - 73. Suppose -c = -6*c. Suppose c = 3*a + a - 36. What is the remainder when s is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 less than -916646?\nAnswer: -916626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nkpkp. Give prob of sequence kpkp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 6 + 19. Suppose -85 - i = -6*n. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 14 - 16. Let p = -15 + i. Suppose -4*a = -5*a + 2*d + 15, p = -4*a + d + 25. Which is bigger: 6 or a?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/6)\/(8\/(-6)). Let f = 2719 - 2722. What is the nearest to w in -1\/8, f, -2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30940*m**3 + 16132*m**2 - 2*m?\nAnswer: -185640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**5)**26 assuming d is positive.\nAnswer: d**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1334010334 - -4?\nAnswer: -1334010330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -731 times -1442?\nAnswer: 1054102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -20993*u**2. Let k(i) = -i**2. Give k(l(o)).\nAnswer: -440706049*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 9. Let x(i) = 18 + i - f - 4 + 21. Let b be x(0). What is the highest common divisor of b and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 480 + 409. What are the prime factors of w?\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102510457*z**5 - 50278152*z.\nAnswer: -2050209140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 52?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 4*x**4\/5 - 16054*x**3\/5 + 16104166*x**2\/5 + 8064126*x\/5 - 8056098\/5 = 0.\nAnswer: -1, 1\/2, 2007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -877*m + 11074. Give t(13).\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 2*m**2 + m - 7. Let r be k(3). Suppose -6*j - 4 = -2*j. Suppose -8 = 3*o - 2. Put o, r, j in ascending order.\nAnswer: o, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.5079 + -15.6. What is f rounded to 3 dps?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33029015?\nAnswer: 5, 47, 140549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 9\/(-18)*-722991)*(-10)\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 12:41 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.061832 to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 3*g + 4*d - 44, 4*g - d = 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**5 - 60*y**4 - 339*y**3 - 642*y**2 - 360*y = 0.\nAnswer: -12, -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/7 + 20852*c\/7 - 41712\/7.\nAnswer: 2*(c - 2)*(c + 10428)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9385 divided by 1877?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2577?\nAnswer: 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/5 and 167\/990?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 680 divided by -5\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*m**3*s**2 - 2844*m**3 - 759*m*s**5 + 11*m*s wrt s?\nAnswer: 8*m**3 - 15180*m*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 1 - 108\/(-18). Suppose u*v - 20 = v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4497 divided by 3?\nAnswer: 1499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*o + 2*o - 81, o + 29 = 3*u. Let j(p) = p**3 + 5*p**2 + 5*p - 2. Let s be j(-5). Is o < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/12065 and 17\/9.\nAnswer: 108585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (102\/12)\/(18\/36). Let f(i) = -34*i**3 + 17*i. Let t(o) = -11*o**3 + 6*o. Determine r*t(w) - 6*f(w).\nAnswer: 17*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 - 3*k + 1. Let s be o(2). Suppose s*y = 2*l - 144, 2*y + y = -6. What are the prime factors of l?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21250246?\nAnswer: 2, 19, 559217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146309, -144341, -142373, -140405, -138437, -136469?\nAnswer: -134501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1\/3*i**4 - 8\/3*i**3 + 61\/3*i**2 - 52\/3*i = 0. What is i?\nAnswer: -13, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2 = 4*i. Suppose 0*b = i*b - w - 329, -5*w = -5*b + 815. List the prime factors of b.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -515 + 552. Suppose -i*q = -705712 - 57783. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31330276163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 4 (b) -0.0496 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-79)\/16 - 2)\/(147\/(-196)) and -5\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k = -60*k - 264 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333 divided by 6.\nAnswer: 111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 94*z + 802. Let i be w(-7). What is the highest common factor of 912 and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 165\/596 or 1?\nAnswer: 165\/596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.1. Let m = 0 + -1. Is r smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/2)*(((w\/w**(-4))\/w)\/w)\/w)**(17\/2))**18 assuming w is positive.\nAnswer: w**(459\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(8\/11)*k**(1\/4)\/k**7)\/(((k\/(k*k\/(k**(-2)\/k)*k))\/k**(2\/23))\/((k\/(k\/(k**(-2\/5)\/k)*k))\/(k**5\/k))) assuming k is positive.\nAnswer: k**(-3709\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2557*w + 5 - 2276*w + 4770*w.\nAnswer: -63*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.63113s to microseconds.\nAnswer: 3631130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/72*(1 - 9). Let d = 379 + -372. Let a(v) = 4*v - 4. Let q(g) = -13*g + 13. Determine d*a(k) + n*q(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/57 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (16 - 21)*(-1)\/((-15)\/(-188022)) + 5?\nAnswer: 3, 17, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yddddddddddddydddd. Give prob of sequence dyyd.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8466888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231206, 462410, 693614, 924818, 1156022?\nAnswer: 1387226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270, 543, 816, 1089?\nAnswer: 1362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 634\/(-5) + 3\/(-15). Let y = -69 - g. What is y rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -21806395 and -2\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-144)*(3 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -21. Suppose j + 1 = i. Suppose 2*f + f = i. What is the third biggest value in -0.5, f, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 + t**3 - 4*t - 9 + 5*t - 2*t + 4*t**2. Let o be p(-7). Is -3 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 4, 0 in ascending order.\nAnswer: -10, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1622)\/336 - 10\/(-35) and (-25)\/60 + 6\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -232?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 954072 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -27*r - 136. What is d(-10)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(33)\/sqrt(48))**2 - (sqrt(11) + sqrt(99)\/(sqrt(18)\/sqrt(2)))).\nAnswer: -2*sqrt(11) + 43\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 213, 427, 643, 861, 1081?\n\"Answer: c**2 + 211*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-2 - -7)) + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(7)*1 + sqrt(21)\/(sqrt(15)\/sqrt(5)))**2 + (sqrt(252)*-1 + sqrt(252))\/sqrt(4).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14320717? (a) -1\/4 (b) 4 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2 + 536120*w + 35928081800 = 0. Calculate w.\nAnswer: -134030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**2 - 41304*t + 104901660 = 0.\nAnswer: -12435, 2109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*w - 0*n - 8, -w - 3*n - 6 = 0. Let f = 1 + 2. Suppose 0 = 4*h + f*u - 13 - 43, w = -5*h - 3*u + 70. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 3:55 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2894 - -439.0106. Round m to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 5*w**2 + 15*w + 58. Let r be u(-4). Suppose -d + 5*b = -7 - 14, -2*d + 3*b = -r. Let m(a) = -6*a - 1. Give m(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192828?\nAnswer: 2, 3, 16069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.2 - -4. Which is the third smallest value? (a) -5 (b) -0.8 (c) u (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -1. Let j(l) = -60*l**2 - l + 5. Give -j(g) - 5*y(g).\nAnswer: 60*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from {m: 2, u: 1, j: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - -11101101?\nAnswer: 11100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20001212 - -20?\nAnswer: -20001132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4 = -3*o. Find u, given that -8 - 3 - 2*u + 10 - u**o = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 7*j**2 + 12*j + 25. Give n(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 4*u + 18 = 0, -67*w - 4*u - 2 = -70*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 530 = 103*m - 492 - 8 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10120101002112 (base 3) to base 12\nAnswer: -775912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30004040 a multiple of 3589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 311479*p.\nAnswer: -311479*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 - 50. Let h be (4*1\/2)\/(2\/3). Put h, 2, g in decreasing order.\nAnswer: h, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 + -47. Let q = -6 + u. What is the highest common factor of 6 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = f + 4*f, -4*y + 29 = -5*f. Let j = -5.7 + 70.7. Let k = j - 67. What is the closest to y in -0.1, 1\/5, k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*o - 131*o - 4*z = -160743, -32141 = -o + 3*z. What is the ten thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 4*b - 2, 4*m + 24*b - 26*b - 14 = 0. What is the first derivative of 11 - 68*f**m + 92 - 11*f**2 + 6*f**2 wrt f?\nAnswer: -146*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2410 + 2403. What is the nearest to -5\/6 in u, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 7*n**2 - 19*n - 330. Give d(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700 is divided by 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/(-273))\/((-4)\/6)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 85648991+0.2\nAnswer: 85648991.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -10*w**2. Let f be (-3)\/(-1) - -5 - -2. Let n(t) = -f*t**2 + 2*t**2 + 7*t**2 + 2*t**2. Calculate k(n(a)).\nAnswer: -10*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -320 (base 7) to base 5\nAnswer: -1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 180*q - 892. Calculate c(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1377d9 + -3?\nAnswer: 1377d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 + 138*a - 245. What is m(-46)?\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 16. Let y(g) = -g**3 + 4*g**2 - g - 11. Let t(s) = -2*s + 1. Let a(x) = 2*t(x) - y(x). Is a(p) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (2 - -2) + (-12 - (-45 - (-12 - 9)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 65505 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 1. Suppose 0 = -74*q - 973 + 677. Let n(h) = h + 7. Give q*t(x) + n(x).\nAnswer: 5*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -10*d**2 + 79*d - 1. Let p(c) = 9*c**2 + c + 1. Calculate -4*f(t) - 4*p(t).\nAnswer: 4*t**2 - 320*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4590 and 36822?\nAnswer: 1656990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -2072 - 286. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/9)*d**(1\/14)*d*(d**5*d)**29)**18 assuming d is positive.\nAnswer: d**(22031\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19690 - -4056153\/206. Is -1 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 0, -212999997 = 6*r - 3*r + o. Let i be 10\/5 - (r - -1). Suppose 3*f - 14200000 = -d, -5*d + f + i = -f. Round d to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 154729282+3885.33\nAnswer: 154733167.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1177 + 0*v**2 + 4*v**2 + 0*v**2.\nAnswer: 4*v**2 - 1177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 + -17 + (-86 - -45) + 52.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.6844009 nanoseconds in days?\nAnswer: 0.00000000000016995834375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 73 - 35 = 0. Let a be ((-2)\/2)\/((-2)\/46). Let z = a + 0. Calculate the remainder when z is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 8:13 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281.664 rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 95124, 95127, 95128, 95127, 95124, 95119?\n\"Answer: -j**2 + 6*j + 95119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(2\/41)))**(-7) assuming b is positive.\nAnswer: b**(-14\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001112020112022 - 1?\nAnswer: 1001112020112021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 1 = w. Let c be (-5)\/(-2) + w\/(-2). Suppose -c*o + 117 = o. What is the remainder when o is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-2)*(-30)\/40. Let o(q) = 8*q - 3. Give o(i).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53.8 + 54.965. Let s = 0.035 - -0.06. Let k = s + m. What is k rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 355598116?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -796*z**3 + 3*z**2 + 36*z - 3. Let w(l) = -797*l**3 + 4*l**2 + 49*l - 4. Calculate 4*p(s) - 3*w(s).\nAnswer: -793*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 1 (b) 5.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 3*m - 2. Let j be l(-5). Let x(c) be the second derivative of c**5\/20 - 3*c**4\/4 + 5*c**3\/3 - 6*c**2 + 5*c. What is the units digit of x(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-4) + 33\/1. Suppose 3*l - 12*l = -810. Calculate the greatest common factor of a and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + -40 - (-3 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -73*r**4\/24 - 5*r**3\/6 - 5*r**2 + 3. What is the units digit of i(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-1 - -5) - 0) + -13 + 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 20. Let j(p) = -2 - 2 + 4*p - 5*p. What is the units digit of j(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f = 2*d - 6, 4*d - 23 = 3*f. Which is bigger: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -22*h**2. Let s be 1 - (0\/3 - -1). Suppose 3*y - 2*y = s. Let m(n) = 4*n - n - 4*n + y*n. Give m(u(p)).\nAnswer: 22*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (-15)\/(-21))\/(10556\/2842). Let k = 1 + 4. Suppose -22 = k*z - 2. Sort -0.1, z, y in descending order.\nAnswer: y, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, m: 2, r: 7, q: 3}. Give prob of sequence drm.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 11*a - 224 = 0. Does a = -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d + 41. Let s be t(19). Suppose v + 0 - 12 = s*p, 2*p + 6 = 0. Suppose 2*m - v*l = l + 150, 40 = m + 5*l. What are the prime factors of m?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*f**2 + 160\/3 - 26\/3*f = 0. Calculate f.\nAnswer: 10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 + 39 = -4*s. Suppose 60*x - s*x = 36. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 622*j - 227*j + 320*j.\nAnswer: 715*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uunu when four letters picked without replacement from uunynnynnnuyun?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -4 (c) 0.4 (d) 3 (e) -10 (f) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/5)\/((q*q\/((q*q**0*q)\/q)*q)\/q))**(-1\/11) assuming q is positive.\nAnswer: q**(3\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*d + 170 = -159 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -52, 8, -3, -93 in increasing order.\nAnswer: -93, -52, -5, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*k - 1799438 = -1800616 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(7)*1 + (sqrt(252) - (sqrt(252) - (-2*sqrt(252) + sqrt(252))))**2 + -3*(sqrt(7) + (sqrt(252)*-2)**2).\nAnswer: -2772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 176\/13? (a) -53 (b) -2\/3 (c) 0.2 (d) -0.3 (e) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 2*g**6\/15 - g**5\/10 - g**4\/6 - 4*g. Let c(h) = -h**3. Let m(y) = 2*c(y) - q(y). Find the third derivative of m(f) wrt f.\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven eighths of a tonne?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -363 - -359.525. Let g = f - -3.4745282. Round g to 5 dps.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4\/19 + 446*s**3\/19 - 29736*s**2\/19 + 507640*s\/19 + 537824\/19 = 0 for s.\nAnswer: -1, 28, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 14*k - 8*k. Let y = -0.02 + -0.98. Let a = y + 2. Is k bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus 776?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1054407.1154 less than -183.95?\nAnswer: 1054223.1654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p - 17. Let h be j(-21). Solve -5*r + h = -0*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23609*v - 50103*v + 7648*v - 1830*v + 4215*v.\nAnswer: -63679*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 4*m - 1. Give j(9).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*k*m*v - 2263*k*m + 2*k*v - 129*m*v**2 + 2*m*v + 14*m with respect to v.\nAnswer: -22*k*m + 2*k - 258*m*v + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/(-6) - (-1)\/(-2). Suppose z*h = 2*h + 32. Suppose -v - v = -8. Calculate the greatest common factor of v and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8074, 7723, 7350, 6943, 6490, 5979, 5398?\nAnswer: 4735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*k + 18. Let y be (27\/k)\/((-2)\/4). Calculate the greatest common divisor of 36 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114379, 114309, 114237, 114163, 114087?\nAnswer: 114009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (-36 + -6 + 12 + -23)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 7*q**2 - 34*q + 43. What is w(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 15*u + 40. Suppose 0 = 5*w - 4*w - 2. Suppose 0 = 3*d - w*r + 8, 3*d + d + 26 = -5*r. Which is the nearest to -1\/4? (a) u (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8206 or 41034\/5?\nAnswer: 8206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 3*u + 3. Let h = 210 + -121. Suppose 0*d = -5*d - a - 125, -3*a - h = 4*d. Let n = d - -29. Determine z(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 611114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2175*z - 23900. What is l(11)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - -16. Calculate the highest common factor of p and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2714993629?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2. Let k be d(-1). Suppose -k*t + 136 = 424. Let v = t - -566. What is v rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625019805 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-3)*(-4)\/(-2). Suppose 2*l + 2*f - 1 - 7 = 0, -5 = 4*l - 3*f. Let i(q) = 2*q + 1. Let h be i(l). Solve h*a + u = 12, 3*a - 6*a + 5*u = -o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**3 + 1346*n**2 + 453*n - 1791. What is z(449)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -3, 1\/7, 2, 353, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55515654, -111031305, -166546954, -222062601, -277578246?\nAnswer: -333093889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 + -1321311023?\nAnswer: -1321310233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -438157.9.\nAnswer: -2190789.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 10:05 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*(-8)\/16?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t + 7 - 2 - t**2 - 9*t + 2. Suppose -2*b = 3*b + 75. Let w = 10 + b. Determine g(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1047 + -1052. Let g be -9 + (-4)\/(12\/(-9)). Which is greater: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1100010010?\nAnswer: 1100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 13*g - 7. Let i(p) = -p**3 - 4*p**2 + 2*p - 3. Let k be i(-5). Let w be a(k). Solve -w*h - 8 = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6381765.\nAnswer: 3, 5, 13, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, -83\/7, 0.5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -12436688.\nAnswer: -3\/12436688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 22493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 - 2 - ((-3 - -34) + -22).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d - 27. Let a be v(-9). Let u be (-330)\/4*36\/(-15). Calculate the greatest common divisor of a and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1228 + 432. Let a = o + -826. Suppose -z + 209 = -a. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -3, 3, 28, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from {o: 12, a: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + f - 12 = 0, u + 3*f - 5*f + 2 = 0. Determine c, given that -7*c + 0 + 3*c - u*c**2 - 2 + 0 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/3 (b) -3.92 (c) 6 (d) -1\/9 (e) 1262\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3)\/6)\/(8 - 63010\/7876)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 5\/9, -3, -3\/5.\nAnswer: -3, -2, -3\/5, 5\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -240147853315 - -0.1?\nAnswer: -240147853314.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(77) - sqrt(77)) + -4*sqrt(77)*1 + -2*(sqrt(77) + sqrt(77)*1)*-1)\/(sqrt(891)*1*5 - sqrt(891)*1*-5).\nAnswer: -7*sqrt(7)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/145?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 7, 12, 31, 70, 135, 232?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v + 1. Let d(m) = 5 + 1 - 9 + 4 - m. Suppose 2*y - 5*q - 21 = 0, 5 = -2*y - q - 4. Calculate y*i(l) + 4*d(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 5*m**2 - 4*m + 15. Let p be d(-6). Sort 4, p, -1.\nAnswer: -1, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71369 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 309 and 3000493?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u - 4*a - 6091, 2031 = u - a. Is u a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 5*h + 16 - 5)*(53 - 111*h - 53).\nAnswer: 555*h**2 - 444*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 17*q - 13. Let h = -13 - 0. Let p be r(h). Suppose 5*l - 241 - p = 0. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 11:49 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 639 a factor of 7358493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1971 is divided by 104.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.388 and 0.6?\nAnswer: -6.2328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*f - 9. Let z = 739 + -746. Sort f, z, 4, 5 in descending order.\nAnswer: 5, 4, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**5 + 4*o**3 - 4*o**2 + 9*o. Let d(k) = 4*k**5 + 3*k**3 - 3*k**2 + 8*k. Let t(w) = -4*d(w) + 3*p(w). Find the second derivative of t(h) wrt h.\nAnswer: -80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 49\/(-147) - (-4 - -5)\/(-5). What is the third smallest value in -0.0024, 0.03, i?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 378*k - 376*k + 34, -5*k - 76 = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -44*s**3 + 31*s - 2. Let j(l) = 35*l**3 + l**2 - 32*l + 2. Give -5*j(h) - 4*q(h).\nAnswer: h**3 - 5*h**2 + 36*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 639843.3 rounded to the nearest 10000?\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.953633 decades to millennia.\nAnswer: 0.00953633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 11*o + 13. Suppose -5*z + 3*z = 20. Let r be u(z). Find d, given that -d**3 + d**4 - 13 - r*d**2 + 3*d + 11 + 2*d = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4\/5 - 996*j**3\/5 + 309582*j**2\/5 - 4435236*j - 2464882407\/5 = 0. What is j?\nAnswer: -57, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o + 4*o**3 + 3*o)*(2*o + 0*o - 5*o + (0 - 2 + 1)*(2*o + o - 5*o)) - 3*o**4 + o**4 - 5*o**4 to d + b*o**4 + h*o**2 + s*o**3 + j*o and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, b: 2, z: 1, y: 6, p: 2, f: 1}. What is prob of sequence zyy?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -34. Let f be (-740)\/(57\/s + -2). Round f to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.323 - 0.29. Let x = 486.033 - 486. Let r = v - x. Which is the nearest to 0? (a) r (b) -0.6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 8624.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -12*u**2 - 271*u - 450. Calculate a(-23).\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Suppose 2*b + 28 = -m*b. Let z = 22 + b. What is the remainder when 15 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 v when four letters picked without replacement from dddddvddddvvdv.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -459, 812, 2931, 5898, 9713, 14376?\n\"Answer: 424*i**2 - i - 882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8304641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/8*i - 1\/8*i**2 + 0.\nAnswer: -i*(i - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97515 is divided by 48755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6002 = -544*m + 31212 + 20486. Suppose -h + 18 = h. Calculate the remainder when m is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 + 82*s**4 + 4*s**3 - 243*s**4 + 2 + 89*s**4 + 70*s**4 + 188*s as o*s**2 + c*s**4 + y + r*s + t*s**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8469272 divided by 302474?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/2 + 81*x**2\/2 - 2187*x\/2 + 19683\/2.\nAnswer: -(x - 27)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, -91, 218 in decreasing order.\nAnswer: 218, -5, -8, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011000100100100 - -10101?\nAnswer: 1001011000100111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 5, -4*c = -0*k + k + 88. Let l = 226 + k. Does 32 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055 - 64186301.4?\nAnswer: -64186301.455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64370609*a**3 - 240259*a**2 + 270*a wrt a?\nAnswer: -386223654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = 3*p - 296. 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: Which is the closest to -4? (a) -20 (b) -4 (c) 0.10049 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -5\/148, -16, 0.03?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.1 - 6.35. Let q = d - 0.67. Let y = q - -0.62. Put y, -0.05, -1\/6, -2 in descending order.\nAnswer: -0.05, -1\/6, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1208796 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 2 = 0, -5*u + k - 490 = 500 - 998 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 2*f**2 - 3*f - 3. Let s be n(-2). Let r be 28\/(-32)*(-4)\/(-6). Let g = r - -1\/4. Which is the nearest to 0.3? (a) g (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d08 + 427?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -14. Suppose 4*b = i - 26. Let r be -4 + 2 - 8\/b. What is the nearest to r in 0, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (331*k - 506 - 491 + 995)*(-4 - 3*k + 4 + (3 + 1 - 3)*(4*k + 2*k - 5*k)).\nAnswer: -662*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 50*t**4 + 60*t**3 - 72*t**2 + 16*t = 0.\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 5*h**2 - 7. Let y be c(-5). Let z(x) = -x**3 - 3*x**2 + 7*x + 2. Is z(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 10 = -2*s + 9*s. Sort 57, s, 0 in descending order.\nAnswer: 57, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s - 13. Let g(w) = w + 12. Let n(k) = 4*g(k) + 3*x(k). Let q(y) = -y + 5. Calculate -6*n(f) + 11*q(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**3 + 6*k**2 + 2*k - 3. What is the tens digit of v(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 2:48 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/26*-19*(-76)\/(-361).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 334070476?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcc when three letters picked without replacement from {k: 3, v: 6, c: 8}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4046, 2.1, -1\/2?\nAnswer: 4046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2154336 and -0.02?\nAnswer: 43086.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8793.277 nanoseconds?\nAnswer: 0.000008793277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 3:12 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 70860b78 + 5?\nAnswer: 70860b7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1 (c) 2\/7 (d) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -1\/75*x**5 + 0 - 1\/60*x**4 + 0*x - 2*x**2 - 1\/300*x**6 + 0*x**3. Factor z(w).\nAnswer: -2*w*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 11 - 2*z - z**2 - 10*z + 0*z**2. Let b = -552 + 539. What is m(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y - 5*l - 46 = -19*y - 0*l + 91, 0 = 4*y + 4*l - 260 for y.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*w + 1468 + 2027 = 1020 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3459.3 - 74673.7. Let i = -78132.97000025 - g. Let d = i + -0.03. What is d rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d - 92. Calculate n(45).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 - 1)*(5 + 2*l**5 - 5 + (-4 + 6 + 0)*(-4*l**4 - 2*l**5 + 4*l**4) - 30*l**5 - 6*l**5 - 25*l**5 - 6*l**5 + 3*l**5 + 4*l**5).\nAnswer: 310*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7256*g + 7228*g + 41104. Solve -g*x - 7 = -1467*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p + 23*p = -54 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**5 - 25*d**4\/2 + 60*d**3 - 135*d**2 + 135*d - 254. Factor f(p).\nAnswer: 5*(p - 3)**3*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 59552, 119104, 178656?\n\"Answer: 59552*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3952172186?\nAnswer: 2, 1976086093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m. Let g(k) = -14*k. Let c(x) = -3*g(x) + 16*y(x). Let l(j) = -j. What is c(p) - 3*l(p)?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4572 times -5?\nAnswer: -22860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6729 divided by 33992\nAnswer: -6729\/33992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 3 = 19*o. Let z(v) = 2*v**2 + 3*v - 2. Calculate z(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*j - 1 + 4, -2*b = 2*j - 6. Let h = 6 + -1. Suppose -3*y = -5*a - 1, -h*y = -2*a + 11 - 0. What is the second biggest value in 1, a, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211494.\nAnswer: 2, 3, 101, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 16*h - 27. Let p(r) = -r + 11. Calculate the remainder when h is divided by p(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2, 3, -6, -78?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(2187)*-2 + sqrt(27) + 4.\nAnswer: -51*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2762 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*y + 2, 2*y = -t - 0*t + 1. Let q = 156 - 123. What is the common denominator of -109\/6 and 1\/q*(0 - y)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*m**2 - 13*m**2 + 21*m**2 - 2*m.\nAnswer: 56*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, e: 3, v: 2, o: 3, x: 4, q: 4}. Give prob of picking 1 o and 1 x.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 209168 and 25712?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8317670*w - 4352238 with respect to w.\nAnswer: -8317670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + (sqrt(99) - (2 + (sqrt(99) + 3 - sqrt(99)))))**2*-4 + 2.\nAnswer: -499 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*a + 8 = 0, s - 2*a + 4*a = 1. Let g(r) = 4*r - r - s*r - 3*r. Let d(u) = 3*u**2. What is g(d(b))?\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.16, -4, -4\/23, -21, -1?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 33680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5428000 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*6\/(-378)*(-72)\/4?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**3 + 3*n**2 + 7*n + 7. Let d(h) = -4*h**3 + 2*h**2 + 6*h + 8. Let x(c) = 2*d(c) - 3*m(c). What is the remainder when x(7) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 2 = 648*r - 643*r, 0 = 9*r - o - 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 5:18 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -252*p**5 + 12976*p**4 + 62080*p**3 + 85440*p**2 + 32192*p + 3584 = 0.\nAnswer: -2, -2\/7, -2\/9, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 3\/2*r**2 + 3*r + 0*r**3 + 0 + 1\/4*r**4. Differentiate m(w) wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7*j. Let v be y(1). Let w = 11 - v. Solve -4*d - q = 12, -w*d + 5*q + 0 - 36 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 16966.55 decades?\nAnswer: 2035986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 240 - 178. Suppose 68*x = y*x + 2760. List the prime factors of x.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26958.\nAnswer: 2, 3, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1023*s = 196*s - 10598 + 28792 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from {j: 1, v: 1, i: 1, m: 1, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**10\/1680 + n**6\/180 + n**3 - 1. Let s(v) be the third derivative of g(v). What is the third derivative of s(u) wrt u?\nAnswer: 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 4*f**2 - 7*f + 7. Let k be m(5). Put k, 2, -2 in increasing order.\nAnswer: k, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 16195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2743, 5526, 8309?\n\"Answer: 2783*f - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.14 + 5.14. Let a = 0.3 + -1.3. Let i = 679 + -674. What is the closest to d in 2\/11, a, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18567.\nAnswer: 3, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-20)*2)\/1. Suppose 5*b + 12 = 2*b. Let z = b - -4. Which is greater: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58242\/13 or -4479?\nAnswer: -4479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u**2 + 5*u + 6. Let k be l(-1). Which is the nearest to -3\/2? (a) -1\/4 (b) k (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 35*t**2 + 70*t - 1328. Calculate j(34).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 + (-195)\/(-25))\/(2\/70). Let v = i + -26. Suppose b = -v*b + 17637. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 1915 - 2039 = 0 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*y + 65*y + 174055 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 + 15*y**2 + 10*y**3 - 6*y**3.\nAnswer: 4*y**3 + 10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/3 - (-5176)\/24) + 3. Let d = l + -241. Which is smaller: d or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = n - 3*n + 4*a, -n - 3 = -5*a. Let u = 10 + n. Calculate the greatest common divisor of u and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.7 + -3.3. Which is the closest to 1\/4? (a) -1 (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-22 + 15 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -246, 4, 16, -5, 5, -2, -6 in ascending order.\nAnswer: -246, -6, -5, -2, 4, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 1\/12*i**4 - 1\/6*i**3 - 1\/20*i**5 + 0 + 2*i + 4*i**2. Calculate the least common multiple of 4 and u(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00798694858 rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.1532 times -164.3?\nAnswer: -1175.27076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**2 - 998*o - 249001 = 0.\nAnswer: -499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 - 16*w - 336 + 28*w - 15*w + 5*w as d*w**2 + q + g*w and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9077 + -122f?\nAnswer: -a2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 77269200 rounded to the nearest 100000?\nAnswer: 77300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 45\/(-4) + -1 - 1. Let u = r + 14. Let q be ((-1)\/(-6))\/(2\/6). Which is the nearest to q? (a) 0.5 (b) u (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 647.07 + -647. What is the third biggest value in -4, -0.1, q, 0.02?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 132.7, 425 in ascending order.\nAnswer: -2, 132.7, 425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*i - 72*i - 74*i + 3702*i**2 - 74*i - 68*i.\nAnswer: 3702*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 190*p**2 + 464*p - 1207. Is r(188) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5 = 3*a + 3, a + 6 = g. Suppose 0 = g*y - 5*y + 120. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - j - 76 = 0, -2*g - 36*j - 69 - 997 - 2221 = -977 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/18 and 73\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 55*s**2 + 112*s + 120. Calculate p(57).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 6 = 4*f. Let p be -35 + (-2)\/f*3. Is p\/(-6) - 12\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 12 - 6 = 0. What is the smallest common multiple of v and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -4 + (7 - 3 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38549723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1775*f**2*z**3 + f*z**3 - 42*f + 12*z**3 wrt f?\nAnswer: 3550*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -922 and 4735.\nAnswer: -4365670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -13*h**2 + 2414*h + 756. Determine o(186).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19968 and 1505920.\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**3*k**3 + 7*d**3 - 13*d*k**2 - 49*k**3 wrt k.\nAnswer: -12*d**3 - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2435999 is divided by 57991.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35*(-9)\/(225\/(-10))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 m when four letters picked without replacement from {i: 6, m: 3, r: 8}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**4\/12 + c**3\/2 - 3*c**2\/2 + 2*c + 4. Let y(j) be the first derivative of x(j). What is y(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5583343*g + 5583343*g + 4*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*-468.\nAnswer: 421.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 32. Let n = 13.76 + k. Round n to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4350426139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -475665710 and -475665711 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 252086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 5, -2*k + 0*w = w - 9. Let h(t) = -t**3 + 7*t**2 - t + 6. Let v be h(k). Is 5 a factor of (11 + v + 1)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(180))**2 + (0 + 4 + 4 + sqrt(5))**2.\nAnswer: 52*sqrt(5) + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46455339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 214*z**2 + 3*z + 967 wrt z?\nAnswer: 428*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 3*w - 19, 3 - 2 = t - w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 22 - 13 = 0. Suppose -m*k + 4*k + 211 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 11:17 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqcaqacaqkacaadaaaq. What is prob of picking 1 q and 2 a?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93 - 141. Let f = 327 - 375. Let d = w - f. What is the nearest to d in -0.4, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 16*z + 16. What is h(14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 57492 divided by -4\nAnswer: -14373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -120227 + 228978. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 4*p - 5*t + 12, -5*t = -p + 31. Let i = p + -11. Find the first derivative of -6 + 6*r**2 + i*r**2 + 0 - 3*r**2 wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -40387\nAnswer: 40386.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(56)\/sqrt(8)) + 0)*-1.\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -124 - -2?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**7\/5040 + r**5\/20 + 3*r**2. Let y(m) be the third derivative of t(m). Let k(p) = -2*p. Determine y(k(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2751 = 8*t - 10175. List the prime factors of t.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*u**4 - 588*u**2 + 0 + 0*u + 378*u**3 + 3\/2*u**5 = 0. Calculate u.\nAnswer: 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 13. Let o be -14 + (-28)\/(-14) - -8. What is the nearest to o in -4, 1\/2, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 9*v - 4. Let n be g(8). Find the third derivative of -p**2 + 9*p**2 + 2*p**2 + 2*p**4 + 2*p**n wrt p.\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-275)*10)\/((-6)\/540*-2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 70667186, 70667185, 70667182, 70667177, 70667170, 70667161, 70667150?\n\"Answer: -d**2 + 2*d + 70667185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -7698\nAnswer: 5\/3849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -192 + 73. Let c = x - -199. Let y = c + -80.0000071. What is y rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*b = 4*r - 234, 3*r + 4*b - 188 = 0. Let l be 24\/24 - (-12)\/2. Calculate the highest common divisor of l and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ce8cd (base 16) in base 6?\nAnswer: -221320205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20913 is divided by 10364?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/(sqrt(24)\/(-1*sqrt(6))))**2 - (-4 + sqrt(5) + sqrt(80) - 6*(sqrt(5) + 0)))*6.\nAnswer: 6*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58397660?\nAnswer: 2, 5, 251, 11633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -14256.\nAnswer: -14256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f + 22. What is q(16)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-7) + 0 - 84\/(-98).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -71*w - 538 - 456 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 17 = -5*n + 8, 0 = 3*n + 2*u - 15. Solve -4*a + 4 = 5*k - 8, k = n*a - 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2 + 5*j + 272. What is w(13)?\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51.4 - 16.6. Let g = t + 68.0053. What is g rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**12*n))\/(n*n*n\/n**(-19))*n**(-20)\/n*n\/(n*n*n**(2\/7)*n) assuming n is positive.\nAnswer: n**(-408\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 68+482\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 0*i**2 - 6 + 9*i - 3*i**2 + 0*i**2 + 2*i**2. Calculate the remainder when o(4) is divided by (10\/(-4))\/((-1)\/2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7577590022 to the nearest integer?\nAnswer: 1964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 600*z = 603*z - 3807. What is the highest common factor of z and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50 - (12 + -2 - 8)) + -3 + (1 - -12).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2735559 is divided by 99?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 12*i. Let t(s) = 15*s**2. Let g(x) = 4*x**2. Suppose 5*n + 2*q = -112, -113 = -n + 6*n + 3*q. Let v(c) = n*g(c) + 6*t(c). Calculate y(v(o)).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 13723931\nAnswer: 15\/13723931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 5:03 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 924164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 + 5*l**3 - 4*l**3 + (l**2 + 2*l**2 - 4*l**2)*(-10 + 10 + 4*l) as g*l**3 + f + x*l + y*l**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2687031 and 0.1.\nAnswer: -268703.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86237 + 86245. Let b(s) be the first derivative of s**3 + s**2\/2 + 3*s - 1. Let z(w) = -9*w**2 - 3*w - 8. Determine p*b(a) + 3*z(a).\nAnswer: -3*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 141 = 5*r - 4*k, -5*r = -k - 135. What is the greatest common divisor of 16 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2 - -18) + -10 + (2 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 712 divided by -4\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3, 12, 21, 30, 39, 48?\n\"Answer: 9*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87415*m - 44 + 87420*m - m**3 + 32 to the form i*m**3 + y + l*m + d*m**2 and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 522, 1185, 2116?\nAnswer: 3315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -870 divided by -1?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/7, 146.94, 2, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72262*h**3 + 72262*h**3 + 304*h**4 + (-2*h + h + 2*h)*(2*h**3 - h**3 - 3*h**3))*(-h + 2*h + 0*h).\nAnswer: 302*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*o - 98 + 56 + 105 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -196, -432, -762, -1186, -1704?\nAnswer: -2316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*g**2 - 111*g**2 - 107*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2293*w**5 + 125*w**2 + 3 wrt w.\nAnswer: -137580*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.71162 centuries in months?\nAnswer: 41653.944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1)*x*x\/((x\/((x*x\/(x**(-5)*x*x*x))\/x)*x)\/x*x*x*x)*(x\/x**1)**(-3\/13) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -7 + 17 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.04 and 40008158241.\nAnswer: 40008158240.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/15*27\/(-180).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 450264 = 92746. Round r to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 13*m - 169. Let i be w(13). Suppose -2*j + 3001 + 5637 = i. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -711 by 1.\nAnswer: -711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7650*-0.6.\nAnswer: -4590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b - 2*b + b)*(5 - 5 - 2*b) + 99*b**2 - 6565*b + 1 + 6559*b + 0 as s + l*b**2 + x*b and give l.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 3*w**2 + 0*w**2)*(-2 + 2 + 2) + 6*w**2 + 0*w**2 - 2*w**2 + (17 - 17 + 7*w)*(-w + 5*w - 2*w) + 7 - 7 - 3*w**2.\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 3\/(1 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -611203844 rounded to the nearest ten thousand?\nAnswer: -611200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.11, 253, -0.2, 1\/12, 4?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 98 + 18b?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 64299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 1\/4, 3\/4, 11\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 25 = 5*u, 2*k + 2*u + 2*u + 20 = 0. Let a = 7 - -10. Suppose v + 5 = 0, -a = 2*d + d + 4*v. Is d > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -63\/1826?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -71?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 9. Let k = -14 + -29. Let n = k + 52. Calculate s(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (114 + 635*x - 114)*(-4*x**2 + x**2 + 0*x + x) to n*x + i + t*x**2 + o*x**3 and give t.\nAnswer: 635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 58439\/9620 - 60\/481. Find the common denominator of w and (-435)\/(-24)*(-6)\/(-45).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 66 + 2\/((-2)\/(-3)). Suppose -3*u + g - 12 = 0. What is the remainder when u is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102\/(-9)*17*(-87)\/(-986)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17530 is divided by 262.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9028936 to the power of 1\/2, to the nearest integer?\nAnswer: 3005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -30\/30379?\nAnswer: -30\/30379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*h**2 + 824 - 824 + 3*h)*(2*h**2 + h**2 - 2*h**2) in the form y*h**4 + o*h**3 + j*h + p + t*h**2 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/12)\/((-2)\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {o: 2, c: 2, r: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.33555 + -0.3355398693. What is w rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 j, and 2 w when four letters picked without replacement from {j: 1, y: 1, g: 1, w: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqziqiivi. What is prob of sequence qv?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34403 + -24?\nAnswer: 34335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -513*a + 4107. Let z be c(8). Let s = -5.7 - -6. Let g = 5.3 - s. What is the third smallest value in -0.4, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97735 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - c + 3787. Is b(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 3 (c) -3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 24.85. Let p = -4.15 - w. Sort -5, p, 0.16 in decreasing order.\nAnswer: 0.16, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 10:04 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 10:57 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3*(sqrt(637) + -1 - sqrt(637)) + -2*sqrt(637) + sqrt(637) + 2 + sqrt(637))*-5)**2 + 4 + 2.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 127 - 60 - 2*d - 65. Let a(b) = b. Determine -3*a(g) - v(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314 + 246 = -56*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*s + 24 = -54*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 - 63.2. Let t = -0.5 + 0.7. What is the second smallest value in -3\/2, -0.5, v, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -3, -5, -11.\nAnswer: -11, -5, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -138*u**3 + 416*u**2 + 70228*u + 3.\nAnswer: -828*u + 832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.059 - -5.241. What is z rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81350 divided by 5?\nAnswer: -16270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1638)\/(-66) - (26\/(-22) + 1). Let o be 46\/3 - 2\/6. Suppose s = -2*m - 4, 5*m + 3*s + o = 3. Solve -4*v - v + h = m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 57 - 573)*(-2*n - 3*n**2 + 10*n**2 + 0*n) as s*n**2 + w + d*n and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-3) + (4 - -1). Suppose 4*s - 2*d = 3 + 3, l*s = -3*d + 11. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1342 and 770.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 139 - 1. Let o = g + -143. What is the nearest to 2 in o, 0.3, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1155*v**3 + 542 - 1092 + 550.\nAnswer: 1155*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7042, -4, -1, 5.\nAnswer: -5, -4, -1, 5, 7042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 3*a - 4*a - 5*a - 21 + 21 + (-2 - 1 + 4)*(1 - a - 1) + 9*a + a - 5*a)*(a + a + 0*a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 1267*i**3 + i. Let n be u(1). Suppose -5*d - 20 = 0, -4*d = -4*p + d + n. List the prime factors of p.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**4 + p**3 + p**2 + p. Let z(x) = -7*x**4 - 9*x**3 - 10*x**2 + 25*x. Let m(c) = -5*r(c) - z(c). What is the third derivative of m(i) wrt i?\nAnswer: 48*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + (-3 - 1 - 2) + 21 - 4.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 20*r. Let d be u(-20). Suppose d = 6*l - 8*l + 12. What is the second derivative of -13*b + l*b - 16*b**3 + 4*b wrt b?\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.93197 rounded to two dps?\nAnswer: 0.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 50540 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292991 - 266997 = -2*a + 3*l, 4*l = 4*a - 1119984. Round a to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -5, -17 in ascending order.\nAnswer: -17, -5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(36) - -2*(sqrt(36) + sqrt(108)\/sqrt(3))) + 2*sqrt(108)\/sqrt(3))\/((sqrt(12) - (-3*sqrt(588) + sqrt(12)))*-2) + 5).\nAnswer: -sqrt(3)\/3 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d - 17. Let k(z) = 4 + z + 1 - 1 + 7. Calculate 8*k(q) + 5*l(q).\nAnswer: -2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*d = 208*d - 21 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 228229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 50199380 to the power of 1\/2, to the nearest integer?\nAnswer: 7085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 428454016 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 4994*d + 50 = 4997*d, 3*j - 38 = -5*d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20555 + 20562. Let q(a) = -a - 23 - 7*a**2 - 2*a + a**3 + 18 + a. Determine q(i).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 28 = -4*k - 0, k = -4*h + 13. Find the third derivative of 182*z**2 + 2 + z**4 - 2*z**3 + 182*z**2 + 179*z**2 - 538*z**h wrt z.\nAnswer: 24*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 5:59 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times 12354?\nAnswer: 617.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/154126 and -19\/26201420.\nAnswer: 26201420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -35.1. What is the closest to f in 1\/4, 0.09, 2\/9?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11011100111 (base 3) to base 15\nAnswer: -19404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4)*(-o**3 - 1 + o**2 - o**2) + (2*o**3 - 4*o**3 + o**3)*(-1 + 1 + 1).\nAnswer: -3*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2 + 17. Suppose 5*i - 2*v = 34, -2*i + 20 = h*i + 5*v. Solve -w + 13 = -2*w + 5*q, 0 = 3*q - i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzgcxgp. What is prob of sequence ggpz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 2*n + 2. Let w(z) = -12*z**2 + 27*z - 27. Let d = 56 - 29. What is d*l(s) + 2*w(s)?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -423 (b) -2\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g**2 - 49*g - 400. Let f be s(35). Do -8242 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - s - 3. Let w be a(3). Let d = 8 - w. Put -0.5, d, -2\/5 in ascending order.\nAnswer: -0.5, -2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 229 - 229.3. What is the closest to -0.2 in k, -1\/7, 20?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1070 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 1169*z**5\/30 + 53*z**4 - z**3\/3 + 3*z**2 - 129*z. Find the second derivative of h(r) wrt r.\nAnswer: 4676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29)\/((-4466)\/336))\/(24\/176)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 10*k - 13. Let u be l(-8). Find the third derivative of -6*w**2 - 6*w**u + w**2 - w**3 + 0*w**3 wrt w.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 435?\nAnswer: 4785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 600500 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1258506185 < -1258506184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*i**3 + 6554109*i - 6554109*i + 6.\nAnswer: -38*i**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8631399 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a millennium in months?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 13*g + 18 = 0. Suppose 2*k + 12 = -g. Is 1396 - -2*k\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25\/26 + 6\/13. What is the second smallest value in j, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 74 = -w, -199*w + 202*w = 4*p - 168 for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6330588?\nAnswer: 2, 3, 11, 199, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 90*i - 78*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*s = -3*o + 8, 5*s = -5*o - 20. Let r(t) = -t**3 - 3*t**2 + 4*t + 3. Give r(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/1352 and (-5 - -17*5\/20)*266\/(-357)?\nAnswer: 22984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2 - 2007538*h - 2007536 = 0. What is h?\nAnswer: -1003768, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 q when two letters picked without replacement from {i: 7, q: 2}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*-1*sqrt(95))\/(-6*sqrt(45)*3).\nAnswer: -4*sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 1554*g + 40787. Determine d(-26).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3*x - 70 + 20, 0 = -4*x - 8. Suppose 2*z - w - 6 = 5*m, 4*z = 2*m + 24. List the prime factors of (-6)\/z*2 + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(10)*1*3) - ((1 + sqrt(500) - sqrt(500)) + 4*((sqrt(20) - sqrt(5)) + sqrt(5)))**2.\nAnswer: -321 - 47*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2364, 3502, 4024, 3930, 3220, 1894, -48?\n\"Answer: -308*o**2 + 2062*o + 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 11. Which is the nearest to -2? (a) -0.1 (b) x (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.163 and -46953.\nAnswer: -46953.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26\/35 - -12\/35. Let f = -0.394 - -0.414. Suppose l = -3*j - 8, -2*l = 4*j + j + 13. Which is the nearest to n? (a) f (b) l (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43.1 + -42.7. Which is the nearest to -1? (a) -8\/11 (b) 0.13 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8182 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 38.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * -0.025.\nAnswer: 0.00225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2563 and 150285?\nAnswer: 1653135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-84))\/(4\/(-42))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-15))*i)\/(i\/i**(1\/17)) assuming i is positive.\nAnswer: i**(-254\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-1))\/(-4)*-4. Suppose q*j + 24 = -j. Let d = -2 - j. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**3\/o**(31\/2)*(o\/(o*o**18\/o))**(2\/13) assuming o is positive.\nAnswer: o**(-393\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3575, 7152, 10729, 14306, 17883, 21460?\nAnswer: 25037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 416, 1767, 4050, 7265, 11412, 16491?\nAnswer: 22502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3245 greater than or equal to -3246?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7069 - -7134.94. What is i rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 175*y**2 - 850*y + 4. Let m be c(5). Sort m, -0.2, 94 in decreasing order.\nAnswer: 94, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 11*o + o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from {f: 1, c: 2, n: 4, v: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*(-7 + 9). Let i(n) = 75*n**2 + n + 1. What is the units digit of i(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 11941*z**2 - 2044*z - 2. Let v be p(4). Round v to the nearest one thousand.\nAnswer: 183000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 + -173.07. Let d = y + 180.9. Round d to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -84, -141, -196, -249?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 4 + 9)*(-1 + 2 - 2)*(-239*g**2 - 258*g**2 + 482*g**2) to the form j*g + b + y*g**2 and give y.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 5*j - 6. Let n be t(-6). Suppose -5*p + n*p = -65. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b9b9909 - 3?\nAnswer: b9b9906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -18*v - 20. Let d(j) = 25*j + 28. Let c(f) = -5*d(f) - 7*l(f). Let s(z) = -4*z - 12. Determine -3*c(o) - s(o).\nAnswer: o + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 44, 58, 90, 146, 232, 354?\n\"Answer: b**3 + 3*b**2 - 2*b + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 - 0.1. Let v = 3 + g. Let z be (-72)\/189 + 2\/(-7). What is the closest to z in -2\/13, v, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k*q**5 + k*q**3*s - 4*k*q**2*s + k*s - 11677*q**3 + 478*q**2*s + 3 wrt q.\nAnswer: 120*k*q**2 + 6*k*s - 70062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 954293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5608 + 3387 = 0. Let i = h - -19828\/11. Calculate the common denominator of i and -52\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n**2 + 555*n - 24654. What is l(-145)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*g - 4864 = 115*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-5530)\/(-25))\/7)\/(15\/(458625\/10)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s. Suppose 133 = 8*j - 43. Let x(l) = -12 - 10 + 36*l**2 + j. What is x(m(b))?\nAnswer: 144*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h - 10*h**2 + 85*h**2 - 12*h.\nAnswer: 75*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -101011001010101101 (base 2) in base 16?\nAnswer: -2b2ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 922044.\nAnswer: 5532264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40756 and 38943244?\nAnswer: 1772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*r + 312 = 21*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 720 is divided by 56?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -810092 divided by 2914\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Expand i + i - i + (5*i + 0*i - 4*i)*(-13 - 22 + 40)*(-3 + 6 - 4).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**10)\/(c\/(c\/c**33)) assuming c is positive.\nAnswer: c**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20036 at least as big as 19978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 956 divided by -4?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -7. Let b be 12\/27*u\/4. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2778 + -2778. Solve g = 4*f + 16, 7*r - 2*f = 11*r - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -48, -30, 6, 66, 156, 282, 450?\nAnswer: 666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -6. Let n = u + 28. Is 19 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 52 = -70*n + 75*n, 1 - 4 = -2*j + 4*n - 9 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -15, -189\/2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -38 times 10.25187\nAnswer: -389.57106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -88 divided by 254\nAnswer: -44\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -186*n + 2067. Let j be w(11). Solve -6*s + 3*s - j = -4*x, -s + 3*x = 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*i - 1925 = -2*l, -i = -4*l + 1531. Factor -545 + l - 737 + 120*r - 4*r**2.\nAnswer: -4*(r - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 5*h + 36, 0 = 426*h - 428*h + 3*r - 11 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 25*t**6\/3 + 19*t**5 - 45*t**4\/4 - 80*t**3\/3 - 10*t**2 - 62. Find o such that b(o) = 0.\nAnswer: -2, -1\/2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6387?\nAnswer: 3, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {n: 4, m: 2, j: 1, u: 11, s: 1}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5\/4 + 1007*n**4\/4 + 25595*n**3\/4 + 87325*n**2\/4 + 3891*n - 32373 = 0. What is n?\nAnswer: -981, -22, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.16, 2\/11, -6\/25, -1\/16, 3\/5?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b + 35. Let h be k(11). Let f be (-25)\/h + 19 + -22. Let y = -8\/9 - f. Sort -0.6, y, -4 in decreasing order.\nAnswer: -0.6, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 440193 and 219024576.\nAnswer: 219464769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.9 - -3.6. Let s = z + -9. Sort 0, 2, s in ascending order.\nAnswer: 0, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 5*t - 1. Let u be x(-7). Let h = 10 - 6. What is the second derivative of 3*d**h + 13 + d - u - d**4 wrt d?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 30238576 and -17.77.\nAnswer: 30238558.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/14)*v)**8\/(v**(-18)\/v*v\/(v\/v**(-2\/31))) assuming v is positive.\nAnswer: v**(6245\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 152274 * -0.4.\nAnswer: -60909.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 + -2 - 2) + 2. Suppose 0 = -4*t + 48 + j. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21, -3, 27, 69, 123?\n\"Answer: 6*f**2 - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04476 - -0.0449933. Round o to five dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**6\/120 - q**5\/60 + q**4\/24 + 5*q**3\/6 + q**2. Let l be x(0). Let s = -51 + 53. Solve s = -l*m - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0026667946 to five dps.\nAnswer: -0.00267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-4 - 7 - -19).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3018*t**3 - 2*t**2 + t. Is b(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 105*g - 927 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20e67 + -23?\nAnswer: -20e8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 294 = a. Let l = 94 - 53. Suppose -3*s + 43 = -l. Calculate the greatest common divisor of s and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2*(-741)\/988*44\/(-363)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q = 2*q - 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*y + y. Suppose 1 = -c - 0*c, -4*c - 1 = i. Solve -5*t + 4 = -3*x, -6*t + 2*x = -i*t - y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -10*t - 390. Does 25 divide u(-65)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8800 - -10446.7. Let p = l - 1647. Let n = -1 + 1.08. Which is the nearest to -1? (a) n (b) 0.1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 494 + -494.5. Let h be 2\/((-2)\/1) + -3. Which is the fourth smallest value? (a) h (b) v (c) -5 (d) -60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(228))\/sqrt(6))\/((sqrt(12)\/sqrt(3))\/sqrt(2)) - ((sqrt(171)\/(sqrt(36)\/sqrt(4)) - (sqrt(19) + (sqrt(76)\/sqrt(4) - sqrt(19)))*-2) + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1570, 2026, 1368, -398, -3266, -7230, -12284?\nAnswer: -18422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4 - (11 - -2) - (1 + -18).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2481, -3056, -3615, -4158, -4685, -5196, -5691?\n\"Answer: 8*h**2 - 599*h - 1890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**4\/18 - 8*o**3\/27 + 5*o**2\/9 - 573. Factor g(k).\nAnswer: -2*k*(k - 1)*(k + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.38*0.2.\nAnswer: -1.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 5*t**2 - 2*t + 4. What is the tens digit of l(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 1:59 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 152 - 151.9999909. Round b to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*z + 2. Suppose -3*a = -z*a. Let d(w) = -w**2 - 8*w - 7. Let o be d(-5). Solve a*y = -2*y - 2*m - o, -2*m = 3*y + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9344778.\nAnswer: 2, 3, 103, 15121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 915046667?\nAnswer: 37, 863, 28657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(9 + (-1107)\/126). Let u(a) = -4*a**3 + 57*a**2 - 11*a - 34. Let j be u(k). Solve -6*x = -4*x - j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -101 - (4 + (-15)\/(-5) - 3). Let q = g - -360. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 6:04 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20662 (base 13) in base 5?\nAnswer: -3330331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22252 - -8310.\nAnswer: 30562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 6:04 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 9:27 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2. Let z(u) = -29*u**2. Calculate -4*n(s) + z(s).\nAnswer: -25*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.5, 2, 2\/7, -0.1212?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*w - 266 - 85 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 1 + 2)*(36*q + 670*q**2 - 670*q**2 - 2*q**3) + (0*q**2 + 4*q**2 - 2*q**2)*(q - 8*q + q) to the form d*q + z + m*q**2 + w*q**3 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**2 + 19834*c - 2213895 = 0?\nAnswer: -19945, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643945 rounded to the nearest 10000?\nAnswer: 1640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3 - (-8)\/3. Let k = -3 - -25. Suppose -p + 25 = k. Are p and w nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 2 + -25 - 9 - (-55 - (0 + 2))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51294576?\nAnswer: 2, 3, 17, 62861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z - 10464 = 11*z. Is (z\/(-15))\/(28\/(-770)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 10278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k + 12. Determine j(-9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(432))**2*-6*-2.\nAnswer: -5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.2, 3, 117963550?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*p - 9. Suppose -4*c - c - 151 = -3*s, 5*s + p*c - 190 = 0. Suppose 2*k = -3*b + 3*k + s, 2*b - 5*k = 15. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + k + 3, -6*j - k - 3 = -3*j. Suppose 0*l**4 - 2\/7*l**3 + 2\/7*l**5 + 0*l + 0 + j*l**2 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (173 + 12)*(-12)\/20. Let v = 111 + j. Factor v + 6*a + 15\/2*a**2.\nAnswer: 3*a*(5*a + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101460 divided by -6764.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 510601, 1021194, 1531763, 2042296, 2552781, 3063206, 3573559?\nAnswer: 4083828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 + j**5 - 5*j**3 + j + 0*j**5 + 3*j**3 + (247 - 61 + 27)*(j**3 - j**3 + j**5).\nAnswer: 214*j**5 - 2*j**3 + j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and -76 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -2 - (4 + -7). Suppose 0*w - q*w = -576. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 894*o**2. Let w(x) = 2*x. Determine w(j(v)).\nAnswer: 1788*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 68*z**4 - 4*z**2 + z**3 - 70*z**4 + 15*z**2 + (-2 + 4 + 1)*(7*z**4 - 4*z**4 - 7*z**4).\nAnswer: -14*z**4 + z**3 + 11*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -36 (b) -2 (c) 3\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12040 - 10?\nAnswer: 12030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wawwwaaqwqwa. What is prob of sequence qq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 10) to base 3\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/49)*y*((y\/(y\/y**(-1\/10)*y))\/y)\/y)\/(((y*y**(-21))\/y)\/(y\/y**(6\/5))))**(-15) assuming y is positive.\nAnswer: y**(-27549\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 a when three letters picked without replacement from {a: 5, j: 9}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + -6*(sqrt(26) - sqrt(130)\/sqrt(5)))\/(-6*sqrt(50)).\nAnswer: -sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3202, -15, 5, 0, 3, 2 in decreasing order.\nAnswer: 3202, 5, 3, 2, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*sqrt(80) + 3 + sqrt(80) + sqrt(80) + (sqrt(80) + -1 + -2 - sqrt(80)) + sqrt(80))**2 + -3).\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8128*i = -8154*i + 142 - 714 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 4219821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 13 = 1. Suppose 53 = 2*v + 2*i - 5, -4*v + 91 = -i. What are the prime factors of (v\/18)\/(w\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265895 - 159837 = -3618*l - 63932 for l.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + 24. What are the prime factors of c?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 - -48. Let o(f) = -13*f**3 + 7*f**2 + 7*f. Let w(n) be the first derivative of 0*n - 2\/3*n**3 + 2 + n**4 - n**2. What is y*o(u) - 7*w(u)?\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o - 199 = -7 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c = 2*c + 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 14*q**3\/3 + q + 3562. Let y(r) = 0*r + 2*r + 0*r. Calculate y(x(p)).\nAnswer: 56*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 652*d - 13 - 6 + 16 to h*d + q and give h.\nAnswer: -652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 37 = 37*d - 4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*k**5 - 760*k**4 - 2582*k**3 + 1012*k**2 + 1848*k + 432 = 0 for k.\nAnswer: -3, -2\/5, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + 5*r - 3. Suppose -5*m + 2 + 8 = 0. Suppose 13 = -m*h - p, -5*h + 2*p - 6 - 31 = 0. Let i(k) = -3*k**2 - 9*k + 5. What is h*l(x) - 4*i(x)?\nAnswer: -2*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 360 and 24770880.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/9*2\/(-7)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 555374, 1110744, 1666114, 2221484, 2776854, 3332224?\nAnswer: 3887594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 68244*b - 37081161.\nAnswer: -3*(b + 557)*(b + 22191)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -88, -139, -212, -313?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -456570 * -0.113\nAnswer: 51592.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-14 + 6 - -11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102803426.\nAnswer: 2, 11, 4672883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 3*a)*(-2*a + 5*a + a) + 408*a - 36*a**2 - 408*a.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 1)*(1 - 2 + 2) + (-6 + 4 + 0)*(5 - 4 - 3) + 0 + 2 + 0)*(0*k + 2*k - 3*k)*((-5 + 3 + 4)*(0 + 4 - 3) + 1508 - 162 - 279).\nAnswer: -7483*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 5*i + 5. Let x(p) = 2*p**2 + 4*p - 4. Give 4*v(n) + 5*x(n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 4*d - 3. Let v(x) = -33*x - 1684. Let z be v(-51). Determine m(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -29. What is the common denominator of (213\/108)\/(2\/(-6)) and 1 - (-3 - 222\/s)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 - 5*g**2 - 5*g - 6. Let j(v) = -18 + v + v**2 - 17 + 36. Suppose -4*c + 15 = -c. Calculate c*j(f) + h(f).\nAnswer: -2*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 473613054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 59*r**2 + 16*r + 22. What is the hundreds digit of n(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**2 - 29952*g + 22430*g - 148*g**2 wrt g?\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 4*m - 5*v, 0 = -2*m - 4*v + 152 - 168 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31499 = 12*y - 10392 - 158005. Does 43 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -346 - -348.02. Let i = m - 1.52. Which is the third biggest value? (a) 3 (b) -0.5 (c) i (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*r**2 - 28 - 62*r**2 - 2*r**3)*(-r**2 - 2*r**2 + 2*r**2).\nAnswer: 2*r**5 + 28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*m**2 + 7*m**2 + 14*m**2 + 17*m**2 + 12*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8438.65 seconds?\nAnswer: 8438650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (12\/(-3))\/((-273205)\/54640 + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 11*h**3\/6 - h**2\/2 + 22*h. Let x be 3\/2 + (-21)\/(-14). Suppose 5*z + 17 = x*i, -5*z - 4*i + 8 = -3. Calculate v(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -421*u + 416*u + p, 3*u = 2*p + 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 19 = 2*v, 2*v = -3*f - v + 24. Let b(u) = -u**3 + 3*u**2 + 4. Let w be b(f). Suppose -w*j = -j. Solve r - 2 + 0 = j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6*t**3 - 5*t**2 + 3*t - 2. Let f(o) = o**3 - o**2 + o - 1. What is 5*f(v) - j(v)?\nAnswer: -v**3 + 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.061 and 555.\nAnswer: 33.855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**4\/12 + 4*w**3\/3 + 11*w**2 - 41. Give c(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -48. Solve d = 6*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 3 = 5. Which is smaller: -11 or n?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 6 - 1. Suppose -2*k - j = -85. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 - 2357*u**3 - 857*u**3 + 90*u**3.\nAnswer: -3120*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**2\/2 + 37. Let i(h) = 11*h. Determine i(t(w)).\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0361581 rounded to 3 dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 10, -2\/3, -7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (198\/2244*8\/6)\/(-1).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 30.93?\nAnswer: -34.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 31*t - 67436. What are the prime factors of t?\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17775726.\nAnswer: 2, 3, 2962621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 25*x**3 + 3*x**2 - 3*x - 1. Suppose 0 = -9*h + 12*h - 6. Let a be h\/(-3)*(-3 - (-4 + 4)). What is the units digit of p(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agatbg. Give prob of picking 1 a and 1 t.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92 + -59. Let o = c + -33. Suppose 5*d - 7 + 17 = -3*i, 2*i + 10 = o. Calculate the highest common factor of 9 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 702 - -1361?\nAnswer: 2263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*(sqrt(13) + -2 + sqrt(13) + sqrt(13) + sqrt(13))**2*-5.\nAnswer: -480*sqrt(13) + 6360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*n, h = 129*n - 134*n - 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4)*j**(-6))\/(j*j*j**(-3)*j*(j*j**0)\/j) assuming j is positive.\nAnswer: j**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 260901083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -14*t + 1499. Give p(105).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -33. Let d = -1 + o. Find the second derivative of -8 + 11*h**5 + 10*h + d - 2 wrt h.\nAnswer: 220*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.7298 and 0.08.\nAnswer: 0.8098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.02 (b) 1.2 (c) 0.03674 (d) -1\/3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -19*p**2 + 474*p + 55. Determine m(25).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2538, -4449, -6322, -8139, -9882, -11533, -13074?\n\"Answer: 3*s**3 + s**2 - 1935*s - 607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*u + 65, -24*u = -23*u + 1. Which is smaller: -13 or s?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1.1 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from {w: 1, j: 1, g: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 + 221211?\nAnswer: 222021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 d, and 1 j when three letters picked without replacement from {f: 1, d: 2, j: 2, x: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (360\/615)\/(-3)*(-4)\/(-32)*-2?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from {g: 2, o: 1, m: 1, x: 1, k: 2, s: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3940013, 3940010, 3940007, 3940004?\nAnswer: 3940001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/6))**(-22)\/(y*y**(-5))**(7\/8) assuming y is positive.\nAnswer: y**(131\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 153*t - 51996. What is m(165)?\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 9:17 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1400, 5508, 12340, 21896, 34176, 49180?\n\"Answer: 1362*b**2 + 22*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 30*p**2 + 21*p + 79. Let l be z(-4). Calculate the greatest common factor of 50 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -4*q + 8, 2*t - 7 = -3*q + 3*t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 713, 718, 727, 740, 757?\nAnswer: 778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5591, 11404, 17215, 23024, 28831, 34636?\n\"Answer: -p**2 + 5816*p - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/51*391*(-2)\/(6\/(-3)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from yccycclclcyc.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 9*p**2 + 5. Let w be t(-9). Let m = -9 + w. Do m and -4 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 12 = 7*y. Suppose -5*g - y*q + 72 = 0, -4*q - 40 = -5*g + 3*g. Let o = g + -21. Let a(v) = -v - 3. Give a(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.04 + 0.04. Let x = -0.21 - -0.61. Sort -0.2, b, x in ascending order.\nAnswer: b, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2 + 8)*(-13)\/(-2) and 5?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/72)\/(-2)*(-8)\/((-64)\/(-3)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8444, -0.1, 56.96?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.160647609 to three decimal places.\nAnswer: -0.161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.11*182.\nAnswer: 4206.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-5 + (4 - 1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**5 - 10*g**5 - 4*g**5 + (-5*g**3 + 2*g**3 + 0*g**3)*(4*g - 3*g + g)*(-4 + 4 - 2*g).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32543613 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 10, 0*p = 5*p - 2*a - 26. Suppose -52 + 10 = -p*f. Solve 4*h + 4*w = 8 - 0, f = 4*h + 5*w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 87, -59 in ascending order.\nAnswer: -59, 4, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 30*n**3 - 4*n**2 - 31*n**3 - 2*n - 4 + 2. Give i(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496*p**3 + 59 - 117 + p**2 + 58.\nAnswer: -496*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68\/51*16074\/4 - -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 0*q - 4*q + 1634904, 1634928 = -4*a - 2*q. What is a rounded to the nearest 1000?\nAnswer: -409000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.369 - 0.5.\nAnswer: 0.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -24*y**3 + 25*y**2 + 29*y + 4. Let h(u) = u**3 + u. Let n = -47 - -51. Let p(b) = n*w(b) + 12*h(b). Suppose p(q) = 0. Calculate q.\nAnswer: -2\/3, -1\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-8) - 7011\/(-9576) - (-10 - (-3824)\/280)\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 14 (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 60*s**2 - 4568*s + 607. Calculate p(76).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/124 and 61\/28?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3023 + -3016. Solve 18 = 2*g + m*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12632234 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1491 and 122759.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 10 - (-2 - (-18 - -15)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 divided by 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 773, 3093, 6961, 12377?\n\"Answer: 774*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 77, 73, 67, 59, 49?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t - 32. Let w(j) = 6*j + 48. Let f(s) = -8*b(s) - 5*w(s). What is the smallest common multiple of 14 and f(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(132)*-3 - (sqrt(132) + (sqrt(132)*1 - sqrt(132))*-6))\/((sqrt(108)*3 + sqrt(12) - sqrt(12))*-6).\nAnswer: 7*sqrt(11)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 + 0*t**2 + t**2. Let r = 22 + -19. Let v(c) = 304 - 304 - r*c. Determine i(v(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*i**3 - 477*i**3 + 242*i**3.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yeoy when four letters picked without replacement from yyeoo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/((-2475)\/660*-5*(-2)\/(-75)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 3*r + 6. Let c be q(4). Find k such that 5*k**3 - 12*k**2 - 3*k + 8*k**2 + c*k = 0.\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s*s**(-3\/4)\/s*s)**(-32) assuming s is positive.\nAnswer: s**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wlvclwlgwxgx. Give prob of sequence vwwx.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 13*d + 20. Let v be h(10). What is the third derivative of u**4 + v*u**2 - 5 - 141*u**2 + 5 wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence il when two letters picked without replacement from {l: 10, a: 2, i: 4, x: 2, p: 1}?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57742443 to the nearest integer?\nAnswer: 7599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -114395.\nAnswer: -11\/114395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y + 1. Let u be n(1). Sort u, 1, -0.4 in ascending order.\nAnswer: u, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -0.05, -0.2, 0.5332, 0.5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2308352?\nAnswer: 2, 71, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -5835.1\nAnswer: -5835.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a**2 + 18*a + 20. Let b = -77 + 68. List the prime factors of n(b).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**2 - 12*t - 16 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8299751 * -1\nAnswer: 8299751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + 4 - (-19 - -9 - -17)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**6\/135 + d**4\/18 - 2*d**3\/27 - d + 2. Factor n(v).\nAnswer: -2*v*(v - 1)**2*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 259, 578, 1109, 1852, 2807?\nAnswer: 3974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 2*p - 4*p = -5, 5*p = -d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/30 and -44\/6015?\nAnswer: 12030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 4 - 22059096*u**3 + 22059141*u**3 - 2*u to a*u**2 + m*u + f + p*u**3 and give p.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*a\/a**(1\/4))))\/a**(-3\/5))**(-5\/7) assuming a is positive.\nAnswer: a**(-47\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, -1\/14, 9, 3, -21?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -115*p - 1248. Determine f(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12076928 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73572, -73573, -73574, -73575, -73576?\nAnswer: -73577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-117))\/(80\/20)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-867)*-3 - (5070\/(-255) + 3)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(-2115733*d**4 - 2*d**2 + 2129341*d**4 + 2*d**2).\nAnswer: -13608*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 872627\/4 or 218158?\nAnswer: 872627\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 478, 477, 476?\nAnswer: 475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-21) + (-4)\/6. Suppose f = 2*u - 5*u - 12. What is the units digit of (-176)\/u + 2\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -16. Let f = w - 12. Sort -0.2, f, 4\/7 in descending order.\nAnswer: 4\/7, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 5 + 8 + 59)*(623*m**2 - 11*m**5 - 623*m**2).\nAnswer: -1067*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**2 + 2*u**2 + 3*u**2 + 5 + u - 4*u**2. Let f be g(-4). Let d = f + 78. What are the prime factors of d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*n + 15, 0*y = n - 2*y - 10. Suppose -i + n + 6 = 0. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -467.2 + 288781110?\nAnswer: 288780642.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(180) - 2*sqrt(180) - sqrt(180))*-3)\/sqrt(4))**2.\nAnswer: -72*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f - 51*f**2 - 45*f**2 - 152*f**2 - 73 - 153*f**2 + 19*f**2 wrt f.\nAnswer: -764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/22 - 31\/44. Let k be (2\/(-6))\/(7\/(-6)). Which is the biggest value? (a) k (b) j (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -0.03, -0.1, 189?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16599 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**4\/6 - z**3\/3 + 25*z**2\/2 - 99*z. Calculate the remainder when a(6) is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51837*f**6 + 16*f**4 + 4818437*f**2 wrt f.\nAnswer: -6220440*f**3 + 384*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1573 - 3402 = 0. Is 41 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 687.73, 5, -3, 1\/6 in increasing order.\nAnswer: -3, 1\/6, 5, 687.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 10*u - 126 = 0. Suppose 0 = -u*m + 12*m + 1002. List the prime factors of m.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbqmmmdmmmbqedqq. Give prob of sequence mbqb.\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 7:55 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 851320598?\nAnswer: 2, 73, 5830963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 899.33 + -807. Let l = 93 - r. What is l rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -12.7 (c) -6 (d) 1 (e) 0.97\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*(-288)\/(-1620)*5.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 - 29?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m\/m**(2\/9))*m)**(6\/11))**(-1\/24))**(-1\/47) assuming m is positive.\nAnswer: m**(5\/4653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 22. Suppose 0*c + 3*q = -5*c + 42, 5*q + 10 = 5*c. Does 18 divide o\/c*-1*27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135804 (base 9) in base 14?\nAnswer: 11dd0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.12 - -2.12. Let i = h - 3. What is the third smallest value in -5, -0.5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 745 + -371. Suppose -55*y = -62*y + 1596. Suppose -3*s + 3*h + n = 2*s, -3*s + 3*h = -y. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-978)\/12225 - (-496004)\/50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*c. Let r be -3*(-2 - 14\/(-3)). Let h = c - r. Calculate the least common multiple of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + 2 - 1 - -28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r - 2. What are the prime factors of p(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2016\/57960*(-414)\/(-216).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 478 = 3*i - 17*p + 15*p, 7*i - 3*p = 1122. Solve i = -25*b - 29*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -59, -138, -263, -446, -699, -1034, -1463?\nAnswer: -1998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 341054089 and 743?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 10:38 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 43543847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 54 + 11*k**2 - 103 + 55 + 11*k. Calculate z(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 50, 97, 134, 155, 154, 125, 62?\n\"Answer: -u**3 + u**2 + 51*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m**2 + 15*m - 8. Let k = -12 - -5. Let r be t(k). Suppose 185 = 6*a - r. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.22356 millilitres in litres?\nAnswer: 0.08322356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2851064 and 380?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 2*i - i + 9, -3*q + 21 = -4*i. Suppose 0 = q*d - 2*d + 5. Sort 5, d, 0.\nAnswer: d, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1088822000 to the nearest 1000000.\nAnswer: 1089000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.3801 * -0.0435\nAnswer: -0.06003435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0914365285 and -6059?\nAnswer: 6059.0914365285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 12*p + 76. Let k(i) be the third derivative of -i**4\/6 - 25*i**3\/6 - 3*i**2. Let y(o) = -10*k(o) - 3*t(o). What is the units digit of y(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t - 5. Let y be a(-4). Suppose -2*j + 27 = -y. Is j a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 964068.\nAnswer: 2, 3, 7, 23, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -3*o**7\/70 - o**4\/3 + 3*o**2. What is the second derivative of r(k) wrt k?\nAnswer: -108*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 35 - 0. Suppose 0 = -4*n + x*n - 201. Let a = 151 - n. Calculate the remainder when a is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4651?\nAnswer: 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 5 - 30. Suppose 15*v = 18*v - 639. Let p = v + -208. What is the remainder when w is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 126549, 126535, 126505, 126453, 126373, 126259?\n\"Answer: -a**3 - 2*a**2 - a + 126553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 0. Let j = -0.37 - 21.63. Let q = -22.5 - j. Put -0.4, x, q in ascending order.\nAnswer: q, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -95, -161, -229, -299, -371?\n\"Answer: -r**2 - 63*r - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96 - -96. Suppose w = 15*h - 14*h - 130. What are the prime factors of h?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/6*w - 2\/3*w**2 - 1\/6*w**3 + 0.\nAnswer: -w*(w - 1)*(w + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 277 = 1095. Calculate the remainder when 2154 is divided by l.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 + -67. Calculate the greatest common factor of r and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i + 2*i**3 + 6*i + 88*i**2 - 1051*i**4 + 1050*i**4 in the form h*i**3 + f*i**4 + v + b*i + l*i**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 3*p + 2*p - 15, 0 = p - 2*b - 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10*-8*(-7)\/112. Let b(v) = 3*v**2. Let u be b(2). Let j = u + -9. Solve j*r + 19 = -q*n, n + 3*r = -0 - 11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3))**39 assuming f is positive.\nAnswer: f**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001169683 to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2444604700?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/6)\/(70\/1036)*(-45)\/(-5)\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/4909? (a) -279 (b) -1\/7 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 37.\nAnswer: 36.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3691, -3880, -4071, -4264?\nAnswer: -4459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17985 - 17940. Sort 5, 4, j, -3, 1 in descending order.\nAnswer: j, 5, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -218*p**2 + 5*p. Let v(a) = 1237*a**2 + 1 - 1243*a**2 - 1. What is g(v(x))?\nAnswer: -7848*x**4 - 30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 9*g**2. Let b(q) = 307*q - 36. Let i(m) = 157184*m - 18420. Let a(t) = 1535*b(t) - 3*i(t). Give f(a(z)).\nAnswer: 848241*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1 (b) 491 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n + 22. Let u = -7 + n. Suppose -2*k + 3*k - 18 = -u*m, -k - 2 = -m. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -8*b**4\/5 + 8566*b**3\/5 - 107986*b**2\/5 + 74036*b\/5 + 25392\/5 = 0.\nAnswer: -1\/4, 1, 12, 1058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1781979559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 12, s: 3}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2030 = -5*p, p + 682 = c - 2*p. Suppose c = 2*k + 3*k. Round k to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -3 - (-1136 + 1207)) + 18.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-68592)\/66)\/(-4) + 10\/55. Suppose -470 = -x + n. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26980 to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*2*-2 + -3)**2.\nAnswer: 24*sqrt(2) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -79874, 0, 0.4, -51?\nAnswer: -79874","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -7*c - 20. Let o be t(-29). Let b = o + -166. Solve j - 6 = -q, 3*j + b = 3*q + q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -762*w - 3*w**2 + 466*w + 296*w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -23. Suppose t + u = 9. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 6*i - 1496 = 0. Let g = -224 + i. Let t = 150 + g. List the prime factors of t.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjf when three letters picked without replacement from babajzfbbj.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 420847 to the power of 1\/2, to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zop when three letters picked without replacement from zzwzpopewowoozpppqpe?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.4 + -14.4. Let y = v - 9.5. Which is the biggest value? (a) 0.05 (b) -1\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27 + -32?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 8 = -2. Let c = -3 + m. Let r(g) = 4*g + 2. Let n be r(c). Calculate the greatest common factor of 50 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*w - 3. Suppose 0*l - w*l + x + 49 = 0, -18 = -l + 2*x. Which is the smallest value? (a) -1 (b) l (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32081 and 12488?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3577961*c**4 + 91355*c?\nAnswer: -42935532*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -394\/11 - -36. Let f be 142\/414 + 1\/(-3). Let o = f - -44\/207. Which is the closest to -1? (a) -5 (b) g (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 691256444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-5)*(0 - 0 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*p + 5 = -65*p - y, y + 4 = -p. Let n(h) = -3*h**2 + 2*h - 4. Let t(i) = -i**2 + i - 1. Calculate p*n(z) + 5*t(z).\nAnswer: -2*z**2 + 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 624*q**2 + 2*q + 680. Let k(p) = 3*p. Determine j(k(c)).\nAnswer: 5616*c**2 + 6*c + 680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5*t - 2)*(0*t - t + 5*t) + (-1 - t + 1)*(t + t + 0*t) to o*t + w + y*t**2 and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115713 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/12 and 1387\/(-2736) + (-8)\/(-12)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -109\/5, -2, 0.04, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v - 4. Let a(x) = -3*x - 3. Let q(u) = 3*a(u) - 4*n(u). Let p = 100 - 153. Let h = p - -45. Let g(l) = -5*l - 11. What is h*q(o) - 5*g(o)?\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**5 - 20*x**4 + 16*x**3 + 64*x**2 - 128*x + 64 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d**3 - 78*d**2 - 15*d - 334. Let f(c) = -c**3 + 26*c**2 + c + 111. Let z(u) = 7*f(u) + 2*s(u). Determine z(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1664)*1 - sqrt(26))\/(sqrt(8) - sqrt(128)) + 5.\nAnswer: -7*sqrt(13)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*45154.\nAnswer: 13546.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -11.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 - 10*m**2 + 10*m**2 - 11*m**5 - 5*m**5 + 5*m**5 - m**5 + (m**3 - m + m)*(-m**2 - 2*m**2 + 6*m**2) + 5 - 5 + 3*m**5.\nAnswer: -6*m**5 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 6) to base 11\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 372 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -312911062, -625822124, -938733186, -1251644248, -1564555310?\n\"Answer: -312911062*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 40*z - 172. Let n be r(-35). Solve -10 = 2*p + n*y + 1, -3*y = -5*p + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 36. Suppose 4*n + 7 = w. What is r in r - 1 + n*r**2 - 2*r**3 + r - 1 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*f**2 - f + 2 - 2 - 105*f**2 - 5*f**3.\nAnswer: -5*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -181.970899 to 0 dps.\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 932 and 5316361?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a meter in millimeters?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, 20, 58, 114, 188?\n\"Answer: 9*r**2 - 7*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**2\/2 - 34*m + 59. Let u be z(-25). Which is greater: u or -23\/3?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30022.81 millilitres in litres?\nAnswer: 30.02281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 4. Suppose -4*h + 12 = -12. Let t be (6\/(-26))\/(h\/4). Which is the biggest value? (a) j (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**3*n)\/n**(2\/5)*(n**(-1))**18 assuming n is positive.\nAnswer: n**(-97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1208 and 1462586.\nAnswer: 5850344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 9*o**2 - 8*o + 765. What is the remainder when 2306 is divided by j(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - f. Let n(s) = 13*s**2 + 3*s. Suppose -g - 4*c - 6 - 36 = 0, -5*g = -4*c - 6. Give g*u(k) - n(k).\nAnswer: -7*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -10011000110110?\nAnswer: -10011000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.08 less than -199.46707?\nAnswer: -196.38707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k - 29. Let y(v) = v - 6. Let r be y(15). Let j be i(r). Suppose j - 4 = 7*n. Solve -b + 5*b + 3*a = -14, -6 = -n*a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -c + 9. Suppose -14*b + c = -19*b. Let g(j) be the first derivative of -j**3\/3 - 4*j**2 + 12*j + 1. Determine g(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110793806 a multiple of 313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 258*l - 2891. What is z(254)?\nAnswer: -3907","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.18 and 15173.\nAnswer: 15173.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013336 rounded to 7 decimal places?\nAnswer: -0.0001334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 1. Let i = -67 - -47. Let l be 7\/i + (-1)\/4. Which is the second smallest value? (a) y (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - 7 - (0 - -1). Let d(p) = p + 4. Let f be d(j). What are the prime factors of (f - -17)*(-7)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5645 + -7?\nAnswer: 5636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p + 3. Let d = 51 - 35. Let m(k) = -6*k - 10. Give d*o(r) + 5*m(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-5 - -7) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92.375 - -0.375. Is y not equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 14*j + 21 = 0. Suppose -4*c + 2*k + 6 = 0, 2*c + 5*k = 1 + 8. Suppose 0 = c*y + 5 - 27. What is the remainder when y is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/6*4\/(-6) + -17\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28451*i**3*n**2 - 2*i**3*n - 82*i*n**2 + 89*i*n - i + 3*n**2 - 2*n wrt i.\nAnswer: -170706*i*n**2 - 12*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 667 - 667 + 22*q. Let r be j(1). Suppose -3*f + r = -3*v + 7*v, -5*f + 4*v - 6 = 0. Solve -f*y + 6 = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618457.4 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.00723 + -0.0099. Round q to 4 dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(0 - 1\/3). Suppose 3 = y + z. Let o be (-4 + 4)\/((-36)\/(-18)). What is the second biggest value in o, y, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-5))\/((-1)\/((-20)\/(-12))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 4*r + 1. Let p(k) = -1 - 5 - k**2 - 9*k + 4. Let s(t) = 9*j(t) + 4*p(t). List the prime factors of s(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2*p = -6136. Suppose 0 = 2*x + 3*x - 4*u + 1514, 5*x + p = -u. Let w be x\/(-30) - (-1)\/(-5). Solve -5*s + 25 = -w*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/790 and -21\/1189.\nAnswer: 939310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 208040, 419 in decreasing order.\nAnswer: 208040, 419, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*v + q, 3*q + 2*q - 55 = -5*v. Suppose -3*l - 3*x - 12 = -v*l, 0 = 4*x. Solve 5*r - l*o = -30, 2*o + 11 = -3*r + 3*o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mvvzmzvmbmzdmvmm?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*v + 27568 = -140*v + 2*j, 68955 = 5*v - 2*j. What are the prime factors of v?\nAnswer: 13789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2959087328?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrmcckc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**3\/2 + 8*f**2 - 193*f. Let o be x(12). What is the greatest common factor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629 is divided by 311.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3381)\/(-4032) - (-12)\/(-9) and 29\/120.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {a: 13, e: 5, s: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 15, 3 in ascending order.\nAnswer: -5, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k + 2*f - 9 = 0, -151467*f + 151468*f - 3 = -2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*r**2 + 2 - 58*r**3 + 111*r**3 + 1 - 52*r**3 in the form p + f*r**3 + m*r + k*r**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216, -223, -234, -249, -268?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - 35 = 31. Let y be (((-616)\/9)\/7)\/(h\/(-141)). Let p = y + 230. Which is the third biggest value? (a) 3 (b) -5 (c) p (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from wwwwgwwuuwuwmwuww.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -47, -1, -0.4, 8, 0.13, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 57385.84 millilitres?\nAnswer: 57.38584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 58 (b) 1\/2 (c) 2\/9 (d) -75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1647, 5838, 12555, 21798, 33567, 47862, 64683?\nAnswer: 84030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*c + 2*c. Suppose x + 5 = c. Let g(w) = -4*w - 1. What are the prime factors of g(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b - 2*b + 2*b**5 + b**2 + b**5 - b**2 + (-b**5 - 2*b**5 + 5*b**5)*(0 - 3 + 2) - 13*b**5 - 9*b**5 + 0*b**5.\nAnswer: -21*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 8:17 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, v: 1, m: 2, o: 3, r: 3, y: 1}. What is prob of picking 2 o and 1 r?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 115*q**2 + 14*q - 4. Determine y(4).\nAnswer: 1892","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**6\/60 + r**4\/8 - r**3\/6 + 5*r - 5. Suppose y(i) = 0. Calculate i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 43 = -5*g. Let t(h) = 5*h. Let y be t(-2). Let m = g + y. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a - 9. What is the smallest common multiple of 10 and z(-6)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -431. Let b = 414 + x. Factor 1\/2*a**3 + 9\/2*a + 2 + 3*a**b.\nAnswer: (a + 1)**2*(a + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*h - 123 = 377 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 13) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.3, 0.3, 3\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/429 + -200\/429. Let g = -1\/26 + x. Let r = -10.7 + 11. Which is the second smallest value? (a) 5\/2 (b) g (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/2108 and (2916\/(-378) + 4*2)*53\/4?\nAnswer: 14756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55 + 6*u**2 - 79 + 116 to m*u + s*u**2 + v and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25267000 rounded to the nearest 100000?\nAnswer: 25300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgpb when four letters picked without replacement from fppxpppgxpfxhpppggbb.\nAnswer: 9\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*y - 14*y + 124. Put -8, -20, y in descending order.\nAnswer: y, -8, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) -29303 (c) 1\/12 (d) -3\/8 (e) 4 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23031 (base 8) to base 4.\nAnswer: 2120121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 679 and 13289.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 6.87\nAnswer: 20.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-5) - 1\/(-5). Let l be ((-1)\/2)\/(1\/(-18)). Let c be 9\/o*462\/l. What is the greatest common factor of c and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c = -i + 5, -4*c = 16. Suppose 37 = 5*d + 12. Calculate the remainder when i is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 130862637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (5 - -1 - -4) - 25.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10054 + -9754. Suppose -5*f - 2*h = -223, 3*h - 63 = -f - 2*h. What is the remainder when i is divided by f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.7*-7.69.\nAnswer: -120.733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/10627 or 0?\nAnswer: -6\/10627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 912834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 11*u + 2 - 35*u**2 + 7 + 24*u**2 + 4. Let w(z) = -5*z**2 + 5*z + 6. What is -4*f(q) + 9*w(q)?\nAnswer: -q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.9666 + 0.0334. What is the fourth smallest value in 0, 2, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144531 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*l*o**2 - 5*l*o*x + l*o + 2*o**2*x - o**2 - 9*o*x wrt o?\nAnswer: 42*l + 4*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 2)\/(-7 - -5). Let n be 3\/(-12)*f - 13. Let h(b) = -2*b - 4. Let y be h(n). Solve 0 = c + 5*m + y, 0 = c - 2*m - 3 - 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 14707*f - 7853593. What is g(534)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(78))\/sqrt(6)*2)**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3559827, 3559831, 3559839, 3559851?\nAnswer: 3559867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 1:17 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -508712*f*u**4 - 258*f*u**3 - 7487*f*u**2 - f*u + 2*f - 67*u**2 - 4*u + 2 wrt u.\nAnswer: -12209088*f*u - 1548*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to -49.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72.17 + 74.17. Sort -80.4, z, -3\/7, -3, -4 in descending order.\nAnswer: z, -3\/7, -3, -4, -80.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*h + 75*h - 1875 = -94*h for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 18*a - 15. Let h(y) = y**3 + 4*y**2 - y + 3. Let w be h(-5). Let d be r(w). Solve -d*c = -0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 202 - 610\/3. Which is the second smallest value? (a) 3\/5 (b) w (c) -0.4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t + 590 = -49*t - 262 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3 = -z. Solve x = -1 - z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(240) - sqrt(240))\/sqrt(12))**2 - (-3*-1*sqrt(20))**2.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 - 62*o**3\/7 - 80*o**2\/7 - 24*o\/7.\nAnswer: -2*o*(o + 2)**2*(7*o + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10478 and -0.5.\nAnswer: -10478.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -1\/3*t**3 - t + t**2 - 35. What is g(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45127 divided by -1.\nAnswer: -45127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -29*t + 577. Let y be x(20). Sort y, 874, 2 in decreasing order.\nAnswer: 874, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633950?\nAnswer: 2, 5, 31, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 5*n + 36, 2*n = -s + 4*n + 16. Suppose z - 4*r - 10 = 0, 0 + 2 = -z - 2*r. Find the first derivative of o**2 + z + s*o - 8*o wrt o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 743 - 734. Sort -0.1, -4, u, 0.02 in descending order.\nAnswer: u, 0.02, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -182.97526 to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1636789 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/4170 and -29\/657192?\nAnswer: 3285960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4 + sqrt(17) + sqrt(153)) - (-4 + -2 + sqrt(68)))**2.\nAnswer: 616*sqrt(17) + 8424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29681074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjbkklkkkukubukkbklk. What is prob of sequence kkl?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 545813 and 11799.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 180713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.85 + -1.75. What is the second smallest value in 0.2, 3, m, -0.01?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4221914*o**4 - 12*o**3 - 2*o**2 - 126962590*o wrt o.\nAnswer: -50662968*o**2 - 72*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 4*g + 2*g)*(2*g + 5*g - 5*g)*(0 - 22 - 7)*(-2 - 1 + 2).\nAnswer: 58*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (71\/213)\/((2 + 0)\/(-6)). Let m be 72\/36 + (-1452 - u). What is m rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 146 = 3*y - 521, -5*y + 5*i = -1100. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q**2. Let g(f) = 2*f**2 + 4*f. Let s(r) = r**2 + r. Let j(d) = g(d) - 4*s(d). Give h(j(v)).\nAnswer: 24*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-68))\/(3*16\/64).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(-20)*12\/(-9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -56bb2 (base 13) to base 3\nAnswer: -22000201112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d + 17. Suppose 2*a + 51 + 20 = 5*v, 0 = 5*a + 5*v + 90. Let y = 10 + a. Let q be g(y). Round q to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 5 - 5. Let u(w) = -w**3 + 5*w**2 + 3*w - 2. Let z = -216 + 223. Calculate the remainder when u(r) is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 415*t - 37*t**2 + 414*t - 1249*t + 414*t to the form r*t + g*t**2 + m and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-6) - 22\/(-33).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -125, -25 in descending order.\nAnswer: 1, -25, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j*m*q**3 - j*m*q**2 - 2*j*m*q*u - 191*j*m - 3*j - 107*m*q**3*u - 13*m*q**3 + 7*m*q + 3401*m*u wrt u?\nAnswer: -2*j*m*q - 107*m*q**3 + 3401*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 9*h + 4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228 and 285.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - s**2 + 1. Let m be l(0). Is 8 a factor of (m - -14) + (-1 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9119\/36900 - -46\/225. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*u - 19 - 803 + 50*u as v + w*u and give v.\nAnswer: -822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2222195809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 556822.1 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2. Let l(o) = -2*o**3 - 21*o**2 - o - 2. Let p(n) = -i(n) + l(n). Let g be p(-11). Solve -7 = -2*j - g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -53. Let i = 42 - k. Suppose 3*x + i*x = -y + 56, -56 = -y + 2*x. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) -0.6 (b) 0.03 (c) -183 (d) 4 (e) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1474*l = 1464*l - 4*r + 216, -r = 3*l - 64 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3189176, 3189175, 3189174, 3189173?\nAnswer: 3189172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 319*c**2*d*k + 2*c**2*d - 268*c**2*k**2 - c**2*k + d*k**3 - 3*d*k**2 wrt k.\nAnswer: -536*c**2 + 6*d*k - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 299264 a multiple of 334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 4:11 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*t - 10, -2*p + 3*t + 0*t = 17. Let s(r) = r + 0*r + r - 3 + 4 + 1. Determine s(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*h**2 + f**2*h - 3551*f**2 + 3040*h**2 wrt h?\nAnswer: 2*f**2 + 6080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -10*z - z**3 + 2 + 2*z**3 + 2 + 2 - 9*z**2. Let u be f(10). Suppose -2*y = -u*y + 100. Calculate the remainder when y is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 - 314*c**2 + 332*c + 2526. Give d(-158).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 + -60. Suppose j*v - 354 = -34. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -2*i + 11*j, -5*i - 2441*j + 65 = -2436*j for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 43*z**2 + 21*z - 54. Let a be t(3). Suppose 393*k - a*k + 9 = 0. Solve 3*x - x - 2*l = -16, 0 = -4*x - 3*l + k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13098 - 18280 = 385*p + 807*p - 110*p for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((2\/15)\/((-40)\/(-15)))\/((-10)\/(-360)). Determine c so that -y*c**2 + 186\/5*c - 3*c**3 - 72\/5 = 0.\nAnswer: -4, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, r: 2, w: 4, o: 1, f: 4}. What is prob of sequence ofr?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 219785\nAnswer: 219782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -477148067 divided by -3\nAnswer: 477148067\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 2*j**2 - 2*j - 1. Let c = 165 + -168. Give z(c).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -2\/7, 11, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - g + 22 = 0, 5*k + 4*g = 7*k - 22. Let t(v) be the first derivative of -3\/2*v**2 + 0*v + k. Give t(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 665, 1330, 1995?\nAnswer: 2660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/28 and -23\/98.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**2. Let s(n) = 2*n + 2*n**2 + 0*n**2 - 2*n. Calculate s(d(l)).\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 880 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -476 + 502. Solve -4*y - g = -18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 332220 divided by 147.\nAnswer: 2260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -5966469.\nAnswer: 5\/1988823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c - -b17ba4?\nAnswer: b17c03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 4:01 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**8\/1680 - t**6\/72 + 2*t**3\/3 - 2. Let v(k) be the third derivative of o(k). Find the third derivative of v(i) wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 3*q + 241, -q + 4 = 4*s - 199. List the prime factors of s*(-4)\/30*-3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8205\/287164 + -18\/1751. What is the common denominator of c and -12\/943?\nAnswer: 3772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1, 5, -2, 4, 2273.\nAnswer: -13, -2, -1, 4, 5, 2273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.2 (b) -3 (c) 1918\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200105 is divided by 2548?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16009 divided by -2297\nAnswer: -16009\/2297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fdy. Give prob of picking 3 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/1990 - -36313\/2985. What is the common denominator of i and -131\/11736?\nAnswer: 11736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12706.75 tonnes to kilograms.\nAnswer: 12706750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 635 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7c (base 13) to base 2\nAnswer: -1100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*3*sqrt(7) - ((sqrt(6300)*-1)\/sqrt(9))**2)*-5.\nAnswer: -540*sqrt(7) + 3500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 42\/3335 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvogvnmz. What is prob of picking 1 g, 1 v, 1 z, and 1 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30217 and 2255?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27, -3, 87, 285, 633, 1173, 1947, 2997?\n\"Answer: 7*m**3 - 9*m**2 + 2*m - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 6 - -13 - (-301 + 307) - 23.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.6489.\nAnswer: -0.25956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*m + 3*y + 75 - 22 = -33*m, -63 = -2*y - 53 for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, i: 1, l: 2}. What is prob of sequence llnn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 - 6*y**2 - 4*y + 7. Is z(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3.120039 centuries?\nAnswer: 3744.0468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 38*i**3 - 11*i**2 + 40*i. Let c(p) = -19*p**3 + 6*p**2 - 20*p. Let o(x) = -11*c(x) - 6*f(x). Find the second derivative of o(k) wrt k.\nAnswer: -114*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(n - 4*n + n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -109, -308, -705, -1366?\nAnswer: -2357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.28 + -0.08. Which is bigger: 5 or a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70168.65 decades to millennia.\nAnswer: 701.6865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -631, -635, -641, -649?\n\"Answer: -g**2 - g - 629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 2*g**2 + 3*g - 3. Let h(f) = -6*f - 207. Let y be h(-34). Give l(y).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2. Let u(h) = h**2 + 4*h - 429. What is u(c(z))?\nAnswer: z**4 - 4*z**2 - 429","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 + 72*m**3 - 138*m**2 + 68*m.\nAnswer: -2*m*(m - 34)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + t + t)*(1 - 8 + 2) to the form v + m*t and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-140)\/(-1393)) + 3\/30\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39619.\nAnswer: 39619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -1957144?\nAnswer: 7828576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11341931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 30 - 30 + 81 - 34 + 2*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -7377, -1, 6, -2, -4, 5 in increasing order.\nAnswer: -7377, -26, -4, -2, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 1:32 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r - 8 = 0. Let j be (0 + r)*3\/(-2). What is the second derivative of -2*i**j + 3 + 2*i - 5 + 2 wrt i?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1616 divided by 4.\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5301717 - -0.4?\nAnswer: -3.1301717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2195 is divided by 100?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8909387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 33 + 9 = 0. Let m = a - -85. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 4*i**2 - 7*i - 6. Calculate g(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*c - 3*c - 3*j, 0 = c - 3*j + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 4*j + 45. Solve -f - 6*b + b = j, 0 = f - b + 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -l**6\/40 - 3*l**5\/20 + 5*l**4\/16 + 2*l - 7. Factor g(o).\nAnswer: -3*o**2*(o - 1)*(o + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16553 - -546251\/33. Let s(i) be the second derivative of 1\/44*i**4 + 19*i - 1\/220*i**5 + 0 + 0*i**2 + h*i**3. Factor s(n).\nAnswer: -n*(n - 4)*(n + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 12*g**2 + 319590. Let j(h) = h. What is j(v(w))?\nAnswer: 12*w**2 + 319590","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1.319 * 6594\nAnswer: 8697.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80552.\nAnswer: 2, 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, n: 1, u: 1, j: 2, s: 1, y: 1}. Give prob of sequence sa.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 759068.4m in kilometers?\nAnswer: 759.0684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6337047 and 118137.\nAnswer: 2229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 3*p**2 - p**2)*(-20 - 8*p**2 + 20) + (2*p**4 + 0*p**4 - p**4)*(-3 + 2 - 1).\nAnswer: -10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.4 - -0.6. Let b = p + -9. Let n = 8 - b. What is the closest to 0.2 in 1, n, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -50*y**3 + 55*y**2 + 5. Let n(p) = 75*p**3 - 83*p**2 - 8. Let i(g) = -5*n(g) - 8*z(g). Find the third derivative of i(t) wrt t.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a = 13*a + 16. Let q(s) = -1 + 5*s + s**3 - 2 - a*s**2 + s**2 - 5. Determine q(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34381128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12364 is divided by 496?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -712*h**5 + h**3 - 58*h**2 wrt h.\nAnswer: -42720*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, -5, -2\/65, -0.3 in ascending order.\nAnswer: -5, -0.3, -2\/65, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -4 + 18 - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 467.21 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 537\/5 - 108. Let u = -84 + 85.34. Let y = 0.66 + u. Which is the third biggest value? (a) 4 (b) v (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 1. Let i be h(4). Suppose 5*a = 3*k + 60, -1 + 3 = i*a + 5*k. Calculate the highest common factor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -69*h - 11. What is x(4)?\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -141.7 + 144.7. Let k = 1.3 - 1.3. Which is the nearest to k? (a) s (b) 1 (c) 24\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**2\/9 + 11384*z\/3 - 8099716 = 0. What is z?\nAnswer: 4269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2. Let z(x) = -x - 7. Let l(t) = 14*g(t) - 4*z(t). Let f(y) be the third derivative of -17*y**4\/24 + 26762*y**2. Calculate l(f(u)).\nAnswer: -68*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 2*g**2 - 71*g + 11. Let x be w(7). Let c(q) = -q**2 - 48*q - 133. Calculate c(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -20 + 7 + (-2)\/(-1). Let z = t + 25. Suppose z*v = 16*v - 58. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.97 - -0.03. Let p = 25 + -25.12. Let w = p + 0.22. What is the nearest to z in -5, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -754 - -772. Solve -4*m - c = -14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-6)*(-3)\/(-9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/4 - (-2)\/(-1). Suppose q + 12 = 3*s + s, -2*q + 6 = d*s. Is 4 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19643 = 14*w - 6285. What are the prime factors of w?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1025760678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 976 is divided by 184?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 481 = -596. Let i be (8 + m\/10)*(-1 + -1). Solve 5*h + 3 + i = -n, 5*n - 4*h = -21 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.5, -4.21, -6, 7.58?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -164, -160, -154, -146, -136?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 - 5 + 1 - 35)*(2*g - 3*g - 2*g).\nAnswer: 207*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18*(-17)\/1377)\/((-7)\/(-819)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*l**6 - 2*l**5 - 692*l**2.\nAnswer: -4080*l**3 - 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 167*q**3 - 507*q**2 + 50*q - 88. Calculate g(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*u - 14 - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16a5 (base 11) to base 7\nAnswer: -6222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3799 + 0.0201. Is p at least 1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.6 + 4.6. Let y = -2 + 7\/3. What is the biggest value in -4, 3\/4, d, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(3\/(-6))\/1. Let w(n) be the third derivative of m + 1\/90*n**5 + 1\/9*n**3 + 3*n**2 + 1\/18*n**4 + 0*n. Solve w(b) = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2\/9*m**4 + 14\/9*m**3 + 40\/9*m + 16\/9 + 4*m**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 4*u**2 - 1\/12*u**4 + 0*u + 0*u**3 + 0. Let n(c) = -5*c - c + 4*c + 4*c. Determine l(n(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*u - u - 792 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 722103*q - 31044882.\nAnswer: -3*(q - 240658)*(q - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24504.\nAnswer: 2, 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*y + 46 = 0, -o + 86 = 3*o - 2*y. What is the smallest common multiple of ((-4994)\/759 - 20\/230)\/(5\/(-18)) and o?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrl when three letters picked without replacement from rrxllrxxxlxrx?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dngpjnndpdi. Give prob of sequence gp.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30334?\nAnswer: 2, 29, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79404584*i**3 - 2*i - 5169725 wrt i.\nAnswer: -476427504*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -1. Let n(u) = 6*u + 41. Let h(x) = 2*x + 14. Let l(t) = 17*h(t) - 6*n(t). Suppose 0 = 79*r - 5607 + 5528. Determine r*l(g) - 5*w(g).\nAnswer: -2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.64 - 0.98. Round t to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*d - 34 + 5*d + d**3 - 6*d**3 wrt d?\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, c: 2, v: 1, p: 1, x: 5}. What is prob of picking 2 c and 1 x?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 3*o = 14*c + 16, 5*o + 48 = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfdffcfcf. What is prob of sequence dfc?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318*y + 2 + 6296*y**2 - 2 + 318*y.\nAnswer: 6296*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32052254 (base 6) to base 15.\nAnswer: -13885d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, x: 4, w: 3, b: 1, d: 5}. What is prob of sequence dcd?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 4*s**2 + 8*s - 5. Give x(5).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**2 + b. Let j(t) = -t**2 - 4*t + 1. Let k be j(-4). Suppose -4*c + 3 = -k. Give s(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 0*v**2 + 56 - 5\/3*v**3 + 5*v. Find u such that z(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26698644911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 32664*g + 32663. What is r(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8221217?\nAnswer: 17, 281, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 2. Suppose 4*k + 11 + 1 = 0. Let u be 13 + (-2)\/3*k. Suppose 2*w = -i - 0*w + 6, u = 2*i + 5*w. Determine d(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*l - 2*i, 2*l + l + 3*i - 18 = 0. Suppose 0 = -l*s - s + 88. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 6) in base 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -21. Which is the third smallest value? (a) -2 (b) o (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 9*a = -16. What is the closest to 0.1 in a, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 1:59 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2899*y**2 + 40*y + 3*y**3 - 2899*y**2)*(2 - 1 - 2) to the form v + h*y**2 + g*y**3 + o*y and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + (sqrt(17) + 0)*-5.\nAnswer: -5*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 2:14 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1376 and 371061792.\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -9 - ((2 - 6 - 1) + -9).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2793.765us in seconds?\nAnswer: 0.002793765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g + 7. Let m be y(7). Let t be (-42)\/m*(2 - 1). Solve -3*q + 6 = -2*f, -t*f - 4 = -5*q + 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 40 + (11 - (46 + -23)) + -10 - 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 20002230?\nAnswer: 60006690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o = 318 + 1794. Does 32 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*k**4 - k - 4*k**3 + 2*k**3 + 4*k - 8*k**4 in the form b*k**2 + a*k + q + m*k**4 + y*k**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00456092 to four dps.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**5\/17 + 58*u**4\/17 + 188*u**3\/17 - 308*u**2\/17 - 190*u\/17 + 250\/17 = 0.\nAnswer: -25, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(2*(-2 + 3)). Suppose -2*c - 106 - 2 = -3*y, 5*y + 5*c - 205 = h. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 5*o**2 + 6*o - 4. Let c be x(4). Suppose -u = -5*s + 11, 2*s - 3*u = -4*u + 10. Solve s*d = c*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12902.719 + 12897. Round y to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -60*b + 136. Let v be h(-15). Let o = -492 + v. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6384 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 minutes before 3:27 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 1188835.1971 + -1188909. Let w = q + 73.9. What is w rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-90)\/25 - -4)*100. Calculate the highest common divisor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**4 + 7*i**3 - i**2 - 7*i = 0. Calculate i.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1854, 1701, 1570, 1473, 1422?\n\"Answer: 2*j**3 - j**2 - 164*j + 2017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6356*z**3 + 1594*z**3 + 1573*z**3 + 1582*z**3 + 1587*z**3.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/((-98)\/(-1884)) + 0. Let q = c + -5109\/35. Find the common denominator of 48\/11 and q.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 greater than or equal to -4202732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, 4, -5, -8, -4 in increasing order.\nAnswer: -8, -5, -4, 4, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1272 + 2?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2049 divided by 3?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77926.\nAnswer: 2, 47, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -204*s + 244*s + 717*s + 6536 + 29043 for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 11*p**2 + 476*p + 3. Calculate the remainder when b(-28) is divided by -2 - (1*-2 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -2, 620 in decreasing order.\nAnswer: 620, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 6)*(-37 + 39 + 0*u**3 - 3*u**3).\nAnswer: 18*u**3 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 239658 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2378996 or 46?\nAnswer: 2378996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 12*m**2 - 13*m + 3. Let u be c(-13). Let z(q) = -3*q + 25. Calculate the remainder when 79 is divided by z(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4015907\/337 at most -11918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 621 and 17361.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and 26.\nAnswer: -23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 49444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 6:13 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x + 84. Calculate the remainder when x is divided by (6\/(-4))\/(-2 + 38\/20).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*n - 82. What is the highest common divisor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 9 + 8*t - 1 + 4. Let s be o(-5). Let u(i) = 3*i**2 - i + 1. List the prime factors of u(s).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547*i - 6647 - 464 = 0 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 2193423264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 3*o**2 + 2*o - 2. Let n be s(3). Let r(t) = t + 0 - n*t - 4. Is r(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + y + 2)*(0*y - 2*y + y) + (0 + 0 - 2)*(15*y**2 - 83*y**2 - 173*y**2) in the form q*y**2 + n*y + t and give q.\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 3 + 1 + 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 19*k + 116. Let g be z(-6). Let t be -4 - (g + -4)*(71 + 2). Which is greater: t or 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-3 - -7) - -2 - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 0 + (2 - 4 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141 + 198 + 274*p**3 - 126*p**3 - 152*p**3.\nAnswer: -4*p**3 + 339","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-56)\/3)\/(14\/(-63)) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 454370.3l to millilitres.\nAnswer: 454370300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v. Let c(p) be the second derivative of -p**6\/180 + p**5\/30 + 55*p**4\/4 + 212*p. Let r(h) be the third derivative of c(h). Determine m(r(u)).\nAnswer: -16*u + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 13*o**2. Let h(s) = -9708*s. Determine m(h(z)).\nAnswer: 1225188432*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.65 + 9.65. Sort -61, p, 2\/15 in increasing order.\nAnswer: -61, p, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -11. Let l(s) = -11*s + 10 + 11*s**i - 4 + 13*s + 4*s**2. Is l(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*o + 120. What is the greatest common factor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - -2. Let x = 14576\/3 + -4813. Let d = y - x. What is the nearest to d in 2, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(130)*-2 + sqrt(130)) - 1*sqrt(130)*1)\/((2*sqrt(70)*2)\/sqrt(7))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4730 and 9460?\nAnswer: 9460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 618 by 3.\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -328+-308417\nAnswer: -308745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -50) + -2 + -11 - 9 - -8?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 2. Let f = 51.08 + -50.88. Which is the closest to n? (a) f (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1, -37, -141, -347, -691?\n\"Answer: -6*j**3 + 3*j**2 - 5*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -256, -546, -834, -1120, -1404, -1686, -1966?\nAnswer: -2244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.29107 - 17.50407. Are 0 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2464072 by -28652.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -11*o - 22. Let p be (4\/6)\/(((-15)\/9)\/(-5)). Let v(x) = -1. Let n(i) = p*c(i) - 18*v(i). What is the first derivative of n(h) wrt h?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + 339. Suppose 0 = 4*a - z - 218. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -1331102?\nAnswer: 1331100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/4 + 3)\/2. Let b be (0 - 2\/(-3))\/((-42)\/441). What is the biggest value in v, 4, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 963*r - 30820. Determine o(32).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 2, l: 4, d: 6, k: 4}. Give prob of sequence kd.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a centimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.00703 * 697\nAnswer: 4.89991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 13*g**2 - 14*g - 9. Let z be j(-12). What is the second derivative of -14*i**4 - 5*i**4 - 3*i**2 + 3*i**2 + z*i wrt i?\nAnswer: -228*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0824 - -0.084536. What is r rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592435 rounded to the nearest 1000?\nAnswer: 592000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 47712256 a multiple of 1544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 11:35 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31591.12l to millilitres.\nAnswer: 31591120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/167 + -163\/334. What is the third smallest value in l, -31, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/44 and 51\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -218?\nAnswer: -9\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/(2\/(-8)). Let l be -3 - -14 - (3 - 3 - -7). Solve -l*a - m = 2*f, 5*f + 2*a = -0*a + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/12714 and 47\/654771?\nAnswer: 1309542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y - 1 + 1 + 2*y**3 - y**2 - 5*y**4 + 4*y as u + j*y + i*y**2 + z*y**3 + g*y**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -13302 (c) 5\/3 (d) 0.028\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 688 = -698. Suppose -2*g + 3*g = 0. Suppose 2*q + 2*q - 20 = g. Solve 0*n = -q*n + v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 992, 4325, 9988, 17981, 28304, 40957, 55940?\nAnswer: 73253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5586374?\nAnswer: 2, 157, 17791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a decade?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = i - 0*d - 5700000, 2*i - 11400000 = -5*d. Round i to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1946012 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtqwtdwffqtkffqqqwwq. What is prob of sequence wf?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 50 = 2. Suppose l = -6*g + 2*g. Is 4\/g*3 + 1362 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 5*n + 30, 5*s + 4*n - 38 = 7*n. Suppose 312 = s*i - 4*i. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-3)*(3 + 264\/(-16)). Let b be (-588)\/(-144) - (-3)\/u. Suppose -t + 3\/2*t**5 + 0 - 3\/2*t**2 + 3\/2*t**3 + 7\/2*t**b = 0. Calculate t.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -254.381 rounded to the nearest integer?\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.8356l in millilitres?\nAnswer: 7835.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2509 (base 14) to base 4.\nAnswer: -1211031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/3 - (-21 + 45)\/(-3).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*(sqrt(192)\/sqrt(108))\/(-2*sqrt(128)) + 1)**2.\nAnswer: 5*sqrt(2)\/4 + 2617\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.1 (b) -45 (c) 5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*z = -35 - 156, -2*z + 69 = i. Let f = i + -58. Suppose f*p - 4*j - 484 = 163, -4*j - 229 = -p. What are the prime factors of p?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 10. Let r be n(9). Find the common denominator of -87\/8 and ((-2)\/1 - 0\/r) + -42.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 45 = -2*q. Which is bigger: q or -24?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2485297207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(-29)\/(a\/a**(1\/2))**(-3\/16) assuming a is positive.\nAnswer: a**(3\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 235*c + 9644. Let s be k(-41). Let f = 10 - -14. Solve 3*r + 3*n = 27 - s, 5*r - f = n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11377939 and 368.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -9, 13, 5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1344 and 24.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44615*j**3 - 9*j - 2897.\nAnswer: 267690*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 49.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*p - 21675 + 131148. Which is bigger: -5215 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 97*j + 1699. Determine g(-23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 2*v + 2, -2*v - 3 + 5 = 3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, -2, -1, 4, -15, 0.2 in decreasing order.\nAnswer: 109, 4, 0.2, -1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 1743.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 - 23*n**2 + 15*n - 14. Let u be f(11). Factor 155 + 31*o**3 + u*o**3 - 56*o**3 - 5*o - 155*o**2.\nAnswer: 5*(o - 31)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/6 + 0 - (-10)\/15. Factor 0*x - 1\/5*x**4 + p*x**2 + 0 + 3\/5*x**3.\nAnswer: -x**3*(x - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 94160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*r - 60, 0*c = -3*c - 3*r - 24. Suppose -2*v + 4*v - 18 = 2*w, 4*v - 3*w = 31. Sort -4, c, v in decreasing order.\nAnswer: v, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -48085*h - 4952694. Give n(-103).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -884317, -3536939, -7957977, -14147431, -22105301, -31831587, -43326289?\n\"Answer: -884208*l**2 + 2*l - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s + 19. Let g(q) = -q**3 + 14*q**2 + 13*q + 34. Let c be g(15). Let p be x(c). Let l(h) = -2171*h - 4. Is l(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from ttngnftttgnttgftrtt?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + 2. Let x = v - 5. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 864 and 360?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqzqqukzuq. Give prob of sequence uqk.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85 + -60. Solve 4*r - 23 + 3 = -3*c, -5*r = c - h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 21\nAnswer: 13\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-94)\/3 - (-2)\/6. Let a(o) = -o**3 + 2*o**2 - o - 2. Let j be a(-3). Let f = j + q. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 - 286.6. Let t = k + 302.99. Let n = -16 + t. What is n rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)\/sqrt(6) - sqrt(55))*-3)\/sqrt(5) + 4*(-2 + sqrt(891)).\nAnswer: -8 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1907 - 1902. Let r(w) = w**3 - 3*w**2 - 7*w + 7. Calculate r(k).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 96 and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 - -53. Let l = o - -40. Let q be (-20)\/90 + 58\/l. Solve -4*b - 4 = 4*d, b + d - 14 = q*d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -509, -1017, -1527, -2039, -2553, -3069, -3587?\n\"Answer: -x**2 - 505*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1180 + 287*y - 1180 - 14*y**2 - 1177 + 3537.\nAnswer: -14*y**2 + 287*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c*q*x**4 + 4*c*q*x**2 + 4*c*x**4 - 2*c*x - q*x**2 + 3*x**6 wrt x?\nAnswer: 72*c*q*x + 96*c*x + 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*r - 102, -3*r - 3*i - 23 = -4*r. Suppose 8*o = 4*o + 44. Calculate the remainder when r is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60814185 to the power of 1\/2, to the nearest integer?\nAnswer: 7798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/712 and 5\/89.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 + 5060*s - 5055.\nAnswer: -5*(s - 1011)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*x**5 - 99957*x**4 - 21563487*x?\nAnswer: 200*x**3 - 1199484*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -18?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**3 + 153*u**2 + 282. What is l(51)?\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10*(6\/141 + 45248\/(-3008)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.07 + 5.12. Let c = r - 4.99. What is c rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -232.4 * -34.\nAnswer: 7901.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000075 to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z**4 + 4*z**3 + 3 - 48*z**2 - z + 123*z**2 - 5 + 3*z - 73*z**2 in the form g*z**3 + a*z**2 + b*z**4 + x + v*z and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -525 by 1303.\nAnswer: -525\/1303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 118*t**3 - 1 - 367*t**3 + 3 + 100*t**4 - 23644*t + 23648*t - 102*t**4 in the form x*t**3 + y*t**2 + n*t**4 + r + d*t and give x.\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 1:43 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -9. Solve 3*o - 5*k - 22 = y, o - 2*o + 4*k + 19 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -10. Let w(c) = 2*c + 26. Let z be w(-12). Calculate the highest common divisor of z and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**6\/36 + 85*p**3\/2 - 15*p - 2. Let g(x) be the second derivative of w(x). Let l(b) = 23*b. Determine l(g(y)).\nAnswer: 230*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1670996 is divided by 42835.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) - (-2 + sqrt(405) + 0)) + (-3 + (sqrt(405) - (3 + sqrt(405))))**2 + sqrt(405).\nAnswer: 9*sqrt(5) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2 = 2*x, 0 = -4*r + 8*r + 4*x - 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -886 + 3011*x**3 + 102*x**3 + 886.\nAnswer: 3113*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 545*o + 5875. Calculate w(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 26.7. Which is the nearest to -0.2? (a) 5 (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1031 and -326 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-280)\/(-7) + 1\/2*0. Let l be (k\/(-12))\/((-2)\/(-3)). Put l, 2, -0.2 in ascending order.\nAnswer: l, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7228*a - 57815. Determine f(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -10 + -1 + 12 - (10 + -6)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1998)\/(-648)*528\/44.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -196 > -207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 2:51 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (464\/(-4640))\/(8\/10).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49.303432 * 2.\nAnswer: 98.606864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*z**5 + 4583*z + 2317*z - 2378*z + 2517*z - z**5 - 385*z**3 wrt z.\nAnswer: 40*z**3 - 2310*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 12 = 3*m, -2*j = -6*j - 4*m + 8. Suppose 3*h - r = 2*r + j, 3*r - 13 = -h. Suppose h = n + 2. Solve 3*q - f + 8 = -1, n*q + 6 = 5*f for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 6841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = 3*o + f - 20, -f = 4*o - 503. Is o a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -22) + -11 + (-1 + -4 - 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**5 + 5*w**4\/2 - 5*w**2 - 5*w - 96. Solve f(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717 is divided by 103.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 33737 = b, -3*j + 48394 = 2*b - 19089. Is b a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 68 = 10*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1630085 + -430085. What is n rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-21))\/(-4*(-10)\/(-460))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000054145 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 24*v - 31*v = -45, -5*v + 0*v - 4*v + 27 = 0 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 5*h - 4. Let g = 19 - 11. What is the units digit of m(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/15633 and -91\/198018.\nAnswer: 594054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*m - 130 + 43*m + m**3 + 134 in the form f*m + p + z*m**3 + d*m**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 - 44. What is the lowest common multiple of o and 130?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/3 in 1, 4, 37\/2, 6\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7651168t to kilograms.\nAnswer: 765.1168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 3*s + 36, 3*p - 8*s = -5*s + 6 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2445092 + 736*k + 2445092)*(29 - 29 + 9*k**2) as r*k**2 + a*k**3 + n + u*k and give a.\nAnswer: 6624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (3 + -95 - 4)*(-10)\/3 and 96.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i - 8810 = -2*a - 16*i, 3*i = 4*a - 17618. Round a to the nearest 100.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4639 or 4645?\nAnswer: 4645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 6:21 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 968\/363*(-21 + 24).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2313 = 2*i - 3*g, 2*i - 3*i + 1155 = -g. List the prime factors of i\/(-108)*222\/(-4).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4882*k - 156139. Determine s(32).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-528)\/(-14))\/(-11) + 5 + -1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 10:00 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2\/623205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.0237\nAnswer: -0.0474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g**2 + g. Let b be t(1). Let d be 1\/(-6) + (-100)\/(-24) + 6. Let c be (-42)\/d + 39\/13. Sort -1\/3, b, c in decreasing order.\nAnswer: -1\/3, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**2 - 254075*n + 415052 with respect to n.\nAnswer: -2*n - 254075","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81168 and 15.\nAnswer: 405840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-35))\/((-744)\/(-930))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -664 - -612. Which is smaller: a or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8645)\/(-1365))\/(38\/(-36))*((-12)\/45)\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 + n**2 + 3*n**3 - 2*n**3)*(n + 5 - 5)*(-3 + 1 + 1).\nAnswer: -n**4 - n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05 or 6\/491?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-6)\/18*-1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12356*u + 4322*u - 9968*u - 3*u**2.\nAnswer: -3*u**2 - 18002*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 (base 7) in base 11?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 308 = -2*f. Calculate the remainder when f is divided by 3 + (-1240)\/(-72) - 2\/9.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/4 + 36567*r + 219429.\nAnswer: -3*(r - 48762)*(r + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5820654 and 0.\nAnswer: 0.5820654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*g = c - 87, -5*c = g + 33. Let u be (2 + -5)*1\/1. Let q be u\/(-9)*g\/(-3). Solve -5*a = 3*f - 1, 0 = 3*f + f + 5*a + q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 98167808*l - 91264445 wrt l.\nAnswer: 98167808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.976 - -8.276. Sort -36, f, -5\/4.\nAnswer: -36, -5\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -741*d - 30134 = 845*d for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 60, 77, 110, 165, 248, 365, 522?\nAnswer: 725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 1)\/(-5 - (-8 - -4)). Solve 2*x - 3*x - 4 = b for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h**3 - 707507*h + 707507*h.\nAnswer: -17*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - p. Let r(c) = -c**3 + 8*c**2 - 5*c - 2. Let t(b) = -r(b) + 3*w(b). Suppose 2*f + 9 = 1. Let n = f - -6. Determine t(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/273 and -95\/312.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -2*b**3\/3 - 3*b**2\/2 - 7*b. Let x(w) = -7*w - 6. Determine -5*m(s) + 3*x(s).\nAnswer: -s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65252, 130542, 195868, 261230, 326628?\nAnswer: 392062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 306*g + 304*g - 26, 0 = -5*f - 4*g + 26 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 divided by 54945.\nAnswer: -16\/6105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -44*v**2 + 35*v - 9. Let k be l(-4). Is -854 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + -1*sqrt(110)*5 + sqrt(110))\/(5*sqrt(10)*-2).\nAnswer: 3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 457 = 3*v - 32. Let x(w) = 3*w**2 - 1166*w - 134308. What is the remainder when v is divided by x(-93)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 16. Solve z*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 368 + -333. Calculate the remainder when 277 is divided by v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/30)\/((-27)\/(-243)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/4)*v**12)**(2\/75)*((v**(1\/2)*v)\/((v\/(v*v**6*v))\/v))\/(v**(-2\/15)*(v**(-2)*v)\/v) assuming v is positive.\nAnswer: v**(898\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o = 46 - 70 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f = 30. Let a be (-39)\/f - (-4)\/(-10). Sort 2, a, -1 in ascending order.\nAnswer: a, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 0. Let s = 6 + -10.1. Let w = a + s. Which is smaller: -2\/9 or w?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 0.04 (c) 1\/42 (d) 0.17 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 8 = y, -4*h = 5*y - 3*h + 15. Let u(a) = -155*a - 23. What is the tens digit of u(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_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: Find u, given that -2*u**4\/9 - 554*u**3\/9 - 5606*u**2 - 1649614*u\/9 - 10243312\/9 = 0.\nAnswer: -127, -71, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2696*i + 612. Let t be z(1). Which is greater: 3307 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 + 60274045?\nAnswer: 60274017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6078 is divided by 70?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*o + 30. Let b be 2\/7 + o\/35. Suppose i - 2 - 2 = b. Sort i, -3, 0.\nAnswer: -3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/5 (b) -4 (c) -0.2 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 354*q - 85. Is u(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11131 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from qfqifqmq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*c**3 + 29*c**3 + 177*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2937*b = 2980*b - 709414. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 p when three letters picked without replacement from yyhp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -3*y - 116, 4*y - 25544 = 3*g - 25727 for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - ((-3 - -2) + 11 + -10). Suppose -z - 4*w - 11 = 2, v*w - 7 = -9*z. Factor 2*y**2 + y**4 - 8\/3*y**z - 1\/3 + 0*y.\nAnswer: (y - 1)**3*(3*y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*i + 81*i - 30*i - 15*i.\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 12*y - 3566. Let l be o(66). Let q = 0 + 1. Sort l, -3, q, 3 in decreasing order.\nAnswer: 3, q, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 620305636 to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 14*z - 270. What are the prime factors of o(31)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -16*l**2 - 731*l + 659. Let a(t) = 3*t**2 + 145*t - 132. Let x(r) = 11*a(r) + 2*p(r). Solve x(k) = 0 for k.\nAnswer: -134, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 109 - 26. Suppose 2*a + p = 26, -2*a + 7*a - 2*p = d. Suppose 0 = g + 3*l - a, 5*g - g = 5*l + 43. What is the least common multiple of 14 and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(3*v + v - 2*v) - 11*v + 2*v - 8*v + 0*v - 5*v + 2*v.\nAnswer: -22*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-118)\/(50032\/318))\/(3\/44).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**3*i**2*q - 179*a**3*i**2 - a**2*i**2*q - 50*a**2*i**2 + 2*a**2 + 2*a*q wrt a.\nAnswer: -6*i**2*q - 1074*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*j**3*v**4 + 2*j**3*v**2 - 113*j**3 with respect to v.\nAnswer: 92*j**3*v**3 + 4*j**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 10*u - 4. Let h be r(-7). Suppose -h = -4*l + 7*c - 2*c, 20 = -4*c. Let j = l + -3. Sort -3, j, -1 in decreasing order.\nAnswer: -1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 + 94. Suppose 4*j - w = -4*f, -2*f + 3*j - 16 = -4*f. Let o = 26 - f. What is the remainder when o is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -213 - -66?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 689852.\nAnswer: -1\/344926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(363) + sqrt(363) + 4)**2.\nAnswer: 1056*sqrt(3) + 8808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) - 1225\/375 - 45\/(-15). Which is smaller: r or 6.49?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i. Let f be v(4). Let h = -1 - f. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 15 - 111. Let t = 98 - c. Solve 0 + 1 = n + t*a, -3*n + 4*a + 13 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 6*u - 10. Let f(n) = 1. Let a(p) = -2*f(p) - m(p). Let l be a(5). Solve 0*z + 3 = l*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 406 divided by -14\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4055 + 2112250?\nAnswer: 2120345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-640)*-32 - 64\/(-10)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*((u\/u**(1\/2))\/u)\/u*u)\/u**(12\/17))**(-45))**(-41))**(-17) assuming u is positive.\nAnswer: u**(12915\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1638?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in 2\/13, 119, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*d + 3*s + 5, 0 = -d - 2*s + 4. Suppose 2*x = d*l - 6, 3*x + 5 = 3*l + 2*l. What is r in -2*r + 3*r**5 + 6*r**2 - 2*r**4 - r - 4*r**l = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3411523 divided by -11?\nAnswer: -3411523\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 132 - 206 = 0. Suppose 3*k + 2*f = 12, 3 = 2*k - 34*f + p*f. Solve 2*d = 2*j - 12, -2*d - k = 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2025*g**2 + 600*g - 600. Let v(m) = -2*m**2 + 2*m - 2. What is -u(x) + 300*v(x)?\nAnswer: -2625*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8170, -16356, -24546, -32740, -40938, -49140, -57346?\nAnswer: -65556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103 - -107. Let d be v\/3*(0 + (-4)\/8). Sort 2, -1, d in descending order.\nAnswer: 2, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 184292?\nAnswer: 2027212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - 0.8. Let m = j - -0.5. Which is the closest to m? (a) 0 (b) -2\/7 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = i - 18. Solve 4*w = -4*y + 4, 3*y = -0*w - w - i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011011001 (base 2) to base 8\nAnswer: -1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3230972752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 4*d + 200 = 0. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*y = 10, -2*d + 0*d - 3*y = -25. Suppose 79 = 5*l - 0*l - 3*z, l - d = -3*z. Solve -p + 4 = -3*a, a + 3*p + l = -4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmrnrrrmnnrminn. Give prob of picking 1 r and 3 m.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010110 - 1110111?\nAnswer: -1000001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fnnnnnnfnfnnfnfnnnn.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-10)*495\/198. Which is the second smallest value? (a) 3 (b) -3\/5 (c) l (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 32011364 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - x + 1. Let m(j) = 0 + 1 - 4 - j - 3*j**2 + 3*j. Let s(c) = 2*i(c) + m(c). Let f(r) = -r**3 - 2*r**2 - 3. Calculate f(h) - 2*s(h).\nAnswer: -h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-13)\/((s\/(s*s**12))\/s))**31 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 38 = -g, -5*g + 5*h + 57 + 63 = 0. What is the lowest common multiple of 649 and g?\nAnswer: 20119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1187.1 - -1187. Which is the nearest to j? (a) 2 (b) 1\/23 (c) 0.5 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 42*z = 40*z - 2, -x + 10 = -2*z. Calculate the remainder when 45 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -86*k**3 - 5*k**2 - 2*k + 4. Is h(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228 and 946908?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 640*b**3 - 8*b**2 + 25. Let i(w) = -640*w**3 + 10*w**2 - w - 30. Determine 5*i(j) + 6*q(j).\nAnswer: 640*j**3 + 2*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6684 or -1205?\nAnswer: -1205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 868496 (base 12) to base 2.\nAnswer: 1000000111111010110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 21*n**5\/5 - 73401*n**4\/5 - 125904*n**3\/5 + 41964*n**2\/5 = 0?\nAnswer: -2, 0, 2\/7, 3497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -5509.\nAnswer: 5509.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 97 - 106 = -4*b, 3*m + b = -9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -405505, -811004, -1216503, -1622002, -2027501?\nAnswer: -2433000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -20*d**2 - 401*d - 29. Calculate c(-20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -13 + 1\/18*c**4 - 2\/3*c**3 - 6*c + 3*c**2. Factor q(v).\nAnswer: 2*(v - 3)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 171 + -511\/3. Factor -5\/3*d - 7\/3*d**2 + s.\nAnswer: -(d + 1)*(7*d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -583 - 42?\nAnswer: -635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28 + -8?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3*(-50)\/(-45))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1452836, 1452849, 1452870, 1452899?\n\"Answer: 4*g**2 + g + 1452831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-564)\/(-60))\/((-8)\/(-80)*-2).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 209404738?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 6. Let i be j(-8). Suppose 0 = -0*h + h, 4*k - 20 = -2*h. Let f(w) = -3*w**2 - k*w**i + 2*w**2 + 4*w**2. Let x(d) = 2*d. Give f(x(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = v - 40. Solve -3*i = -i - v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 739 + -416. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0106 and 0.2?\nAnswer: 0.2106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yduu when four letters picked without replacement from {u: 3, d: 4, b: 5, r: 2, y: 5}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 14.8. Let k = o + 1.21. Sort -1\/2, 0.5, k in descending order.\nAnswer: 0.5, k, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137 + -169 - (-2 - 17)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 935521 is divided by 133?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**5\/13 - 372*g**4\/13.\nAnswer: -2*g**4*(g + 186)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 1)*(-6)\/8. Let q = -48 + 52. Suppose -2 - q = -u*y. What is y rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-988 - -1009) + 7 + 1\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g - 4. Let w be d(0). Let l = -4992 + 24961\/5. Suppose -u + 1 = -q + 3*q, 0 = -5*u + q - 28. What is the nearest to 14 in w, l, u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4 + 2104*m**3 + 1660056*m**2 + 582126304*m + 76549608976 = 0. What is m?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6231, 6238, 6267, 6330, 6439?\nAnswer: 6606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -2*w - 25. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, p: 4, i: 1}. What is prob of picking 2 p and 2 x?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -102, -139, -190, -255, -334, -427?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*k**3\/5 + 38*k**2\/5 - 58*k\/5 + 12\/5.\nAnswer: 2*(k - 1)*(k + 6)*(4*k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.34515 rounded to 2 decimal places?\nAnswer: 43.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -917 + 641. What is the common denominator of -75\/64 and (1\/(-6) - 805\/b)\/4?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -14*o**2 + 2248*o + 3368. What is i(162)?\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5\/9, 0.5, -1572, -1\/5 in descending order.\nAnswer: 5\/9, 0.5, -1\/5, -3, -1572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*l - 217 - 68 = 0. Let n be (-4)\/6 - 13\/3. Is n at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w + 2*w - w + (-2 - w + 2)*(2 + 0 + 0) - 2*w + w - 4*w - 3 + 3*w + 6 + 0*w in the form p + m*w and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39955*b**3 - b**2 - 188*b + 156 wrt b.\nAnswer: 239730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 447454 and 1039248.\nAnswer: 32216688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 9*x + 81. Suppose x*u = -12*u + 4*u. Which is smaller: 1\/51 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15804432 and 4032?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2978.\nAnswer: 2, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 392*s - 3479. Determine c(9).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -358788 divided by 4.\nAnswer: -89697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47754, 47742, 47728, 47712, 47694, 47674, 47652?\nAnswer: 47628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2310430 is divided by 1312?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, b: 4}. Give prob of picking 1 n and 3 b.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3085 at least 3085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4885?\nAnswer: 5, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/140)\/(18\/(-176)). Let u = -2\/15 + d. Which is the biggest value? (a) -1\/4 (b) u (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i - 320 + 320)*(-1 + 5 - 3) - 2*i + 5*i + 0*i to the form o*i + v and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/19 (b) 93\/5 (c) 4 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -20.292.\nAnswer: -24.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cf8e - 22d?\nAnswer: cd61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 9:59 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrsgx. Give prob of picking 1 g and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*c - 26*c = 56. What is the remainder when (-50)\/(-8)*4\/1 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*(o\/o**6)\/o)**(4\/19)\/(o**(-10\/7)\/(o\/o**(-1\/8))))**(-43\/3) assuming o is positive.\nAnswer: o**(-26101\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2000 - 2002. Sort 7, v, 1, 4.\nAnswer: v, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-389844)\/(-13104))\/(17\/(-16))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 0)*15\/10. Let w(n) = 9*n - 2. Let z(d) = 28*d - 5. Let s(l) = 7*w(l) - 2*z(l). Calculate the remainder when 33 is divided by s(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 21213?\nAnswer: 21214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3010, 6018, 9026?\nAnswer: 12034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108147173 and 414.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 542299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*sqrt(1053).\nAnswer: -9*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*h + 17*h + 6. Put 0, 1, h, -2 in ascending order.\nAnswer: -2, 0, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c + c + c)*(-21 - 96 - 129)*(-c + 0 + 0) in the form n*c**2 + m*c + v and give n.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -7. Put r, -1\/6, -2, 2 in increasing order.\nAnswer: -2, -1\/6, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 2116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x + 7. Let g(c) = -1. What is 6*g(u) - i(u)?\nAnswer: 2*u - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260*w**3 - 191*w**3 + 654*w**3.\nAnswer: 723*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-45)\/32670*-22)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3656 + 58449\/16. Find the common denominator of m and 29\/11344.\nAnswer: 11344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28843749.\nAnswer: 3, 11, 97117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -5785, 197, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 21. Solve -l - b = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 97. What is the remainder when b is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y - 5. Calculate b(9).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 - 4*t - 3. Let r be w(-1). Suppose -4*u = r*p - 134, 136 + 93 = 5*p + u. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9886 - -10391. Calculate the remainder when 551 is divided by n.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x - 1 = -5*g - 36*x, 0 = x - 1. Suppose 4*n + 16 + 0 = g. Sort n, 61, -2 in increasing order.\nAnswer: n, -2, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r + 5*r = 21980. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 268*o**2 - 508*o + 780.\nAnswer: -4*(o - 1)*(o + 3)*(o + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001126866515 to seven dps.\nAnswer: 0.0001127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - -0.4. Suppose 0*n + 29 = -n - 3*y, -3*y = -n - 35. Let p = 36 + n. What is the smallest value in p, 1\/6, z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 1. Suppose 4*l + 19*b = 17*b - 4, -5*l - 5 = -2*b. Put o, l, 0, 4 in ascending order.\nAnswer: l, 0, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 6. Let b = -9 - y. Let m be (0 - -1)*(-1)\/7. What is the third biggest value in -1, b, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.19 in 1, 871, 2\/5, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -6*f - 9. Calculate the remainder when 56 is divided by 64\/16 - 5\/f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v**4 - 63*v**2 + 17*v**4 + 59*v**2 wrt v.\nAnswer: 432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45 - -20) + 21 + -19 + -22?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.92484 and 0.03.\nAnswer: -0.89484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**3\/3 - 9*o**2\/2 - 21*o - 164. Calculate j(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, 0.4, 3\/13, 1, 17, -3?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-2)*s*s**(2\/5))\/((s*s**(-1\/6))\/(s*(s\/s**(-2\/7))\/s)))\/(s**(4\/5)*s**5)**(-1\/18) assuming s is positive.\nAnswer: s**(137\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i*j**4 + 2147*i*j**2 - 2787*j**5 - 7*j**3 - 15*j**2 + j wrt j?\nAnswer: -48*i*j - 167220*j**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-136))\/((-27)\/516) + 36\/27?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 738 - 1398. Let f = 668 + a. Calculate the highest common divisor of 168 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-186.\nAnswer: 74.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1020 = n. Let v(x) = 810*x - 4020. Let w be v(5). Calculate the highest common divisor of w and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - -0.61. Let t = -48021 + 96043\/2. Which is the nearest to 1? (a) f (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15282 - -26582. What is j rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4825)\/(-2702) + (-3)\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3, 0.064, 3, -2\/3 in decreasing order.\nAnswer: 3, 0.064, -0.5, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**3 + t**2 + 2*t + 12. Give m(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1656 and 17448444.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105 - -101. What is the common denominator of (-33)\/9*(-6)\/8 and 2\/g - (-7)\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 6:24 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 170 = -2*c - 13*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -15. Suppose -k - 39000 = 2*q + k, -q = a*k + 19494. Let f be (-4)\/3*(q - -3). What is f rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7734, -7735, -7736, -7737, -7738, -7739?\n\"Answer: -r - 7733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-28)*2)\/((-52)\/(-312))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300 = -41*b + 101*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7)\/2*-15*2 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*(sqrt(17) + sqrt(17)*1) - (-4 + sqrt(17) + -1)**2).\nAnswer: -44 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 11. Let i be (-616)\/(-42) - (-4)\/(-6). Let q be c(i). Suppose q*m + 0*m = 156. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiimmimiimmim. What is prob of sequence mmii?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, v: 19}. Give prob of picking 1 h and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 1771*k**3 - 56*k**2 + 56*k - 1540. Let g(y) = -161*y**3 + 5*y**2 - 5*y + 140. Let i(a) = -56*g(a) - 5*p(a). What is the derivative of i(w) wrt w?\nAnswer: 483*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -2\/756303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 2945.6307.\nAnswer: 294.56307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -40476899, -40476895, -40476891, -40476887, -40476883?\n\"Answer: 4*f - 40476903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10165510 and -46.\nAnswer: -467613460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12749 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 6*r**2 + 5*r - 2. Let p be t(5). Let j = 4 + p. Let d = 8 - 7. Are d and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(-m + 2*m + m)*(-2 - 4 + 4)*(0*m + m + 0*m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*a + 15, -6 = -4*v + 2*v + 4*a. Let g(t) = t**2 + t**2 + 0*t - v*t**3 + 0*t**2 - t + 1. Is g(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 984 or 973?\nAnswer: 984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-4) + -2)*((-759)\/(-63) + -12).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53 and 2279?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 675811.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/233 in 0.13, 1, 35?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006741 to 7 decimal places.\nAnswer: -0.0000674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 610512 and 139909.\nAnswer: 6715632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + 1 + 5*l - 8*l)*(2*l - 2*l - l).\nAnswer: -2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 338*p**2 + 3743896*p + 10367424008.\nAnswer: 2*(13*p + 71998)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 7)*10\/8. Suppose -4*i + 7 = -z. Suppose -3*l = -4*m - 285, 3*l - l - 189 = i*m. What is the remainder when l is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3079186713 - 5?\nAnswer: -5.3079186713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**6\/75 + p**5\/50 - 17*p. Solve k(m) = 0 for m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eegleeelegeleeegleee.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/((-183)\/488)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7032500 to the nearest one hundred thousand.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -8.4. Let g = -0.3989 - w. Round g to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 29*a**6\/24 + 25*a**3\/2 + 49*a**2\/2 - 11. Let x(t) be the second derivative of v(t). Differentiate x(q) with respect to q.\nAnswer: 435*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 29*f**3 + 2*f**2 + 66*f + 2. Let z(n) = 59*n**3 + 7*n**2 + 130*n + 5. Let a(h) = -5*y(h) + 2*z(h). Find the second derivative of a(d) wrt d.\nAnswer: -162*d + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -36*i**4 - 36*i**3 + 16*i**2 + 16*i = 0.\nAnswer: -1, -2\/3, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -49, -63, -81, -103?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*w + 3*w + 476 - 294 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/310 and 31\/80?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17570, 17574, 17586, 17612, 17658, 17730, 17834?\n\"Answer: y**3 - 2*y**2 + 3*y + 17568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 7. Let v be s(-3). Let r = 11\/6 + v. What is the second biggest value in 0.2, -1\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7802 is divided by 460.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*c + 3*o = 21*c + 21*c + 45, 0 = 7*o for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 = j, 5*j - o + 4*o = 19. Let r(n) be the first derivative of -3*n**4 - 13 - 4*n**j + 2*n**4 + 12*n**3 - 8*n**3. Suppose r(p) = 0. Calculate p.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**3\/13 - 1491532*b**2\/13 - 23864896*b\/13 - 95460096\/13 = 0.\nAnswer: -8, 745782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 476 - 29*t**2 - 476 + (0*t - t - t)*(-3 + 3 - t).\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - 47\/(2256\/(-1312)).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**31)**(-24)\/(i**32\/i**(-4)))**(27\/5) assuming i is positive.\nAnswer: i**(-4212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000048721071 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1412860 is divided by 164.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 11*c + 7. Let n be w(11). Suppose -4*t = -n*t - 19800009. Let u be 3 + -2 + t\/3. What is u rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((-1950)\/(-20))\/13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/24*30*57\/2660.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - 8*x + 12. Let s(j) = -j**2 + 4*j - 6. Let k(v) = 7*s(v) + 4*z(v). Let r(g) = 5*g + 65. Let l be r(-12). List the prime factors of k(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -430205?\nAnswer: -430201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 124. Let q(u) = -3*u**2. What is i(q(l))?\nAnswer: 9*l**4 - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4326*h - 4331*h + 20 = 0. Suppose -3*p = -15 + 6. Solve -x + h = p*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*6\/36)\/(2\/(-8))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 21616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1537, 6164, 13897, 24736?\n\"Answer: 1553*r**2 - 32*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*k + 81*k + 12 = 0. Let j be ((-28)\/(-21))\/(((-2)\/1)\/k). Let u(l) = l**3 + 7*l**2 + l + 7. Is u(j) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2739662 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9690 = -15*d + 19081 + 15749. What is the remainder when d is divided by 84?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m - 4*m - 4*m - m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 5*t - 20, 13 = 3*a - 5*t - 7. Suppose -q = q - u - 77, 3*q + 5*u - 148 = a. What are the prime factors of q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14105 and 2352805?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05057 + 0.01854. What is x rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - x - 1. Let a(o) = 2*o**2 + 3*o + 3. Let q(c) = -2*a(c) - 6*y(c). Let j(s) be the second derivative of 2*s**3\/3 - 1086*s. Determine q(j(p)).\nAnswer: -160*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(3\/(-15)*-5). Let j(w) be the third derivative of 1\/60*w**5 + 0*w + l + 3*w**2 - 1\/24*w**4 - 1\/6*w**3 + 1\/120*w**6. Factor j(k).\nAnswer: (k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126175076 to the nearest integer?\nAnswer: 11233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -1. Let i be (-4)\/716 - (-6 + 6). Let r = -381\/4117 - i. Which is the fourth smallest value? (a) -2\/7 (b) y (c) r (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78.43 - 78. Let g = u - 0.03. Suppose 2*p + 3*j + 20 = 0, 5*p - 6*p = -3*j + 1. Put -0.1, p, g in increasing order.\nAnswer: p, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 213101*n - 113665 with respect to n.\nAnswer: 213101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*k - 14, 24 = 5*k - r + 7. Let c = 16 - 14. Let b(p) = 5*p**2 - 3*p + 2. Let s be b(c). Solve -4*q + s = -o, -o - 3 = -q + k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n - 30. Let j be g(-6). Suppose j = 26*q - 29*q - 9. Let h be q - (-740)\/92 - 5. Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10559 divided by -10559?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.354745 rounded to three dps?\nAnswer: 0.355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8820155563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76310 is divided by 75389?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -96, -4, -5, -3, 1773.\nAnswer: -96, -5, -4, -3, -2, 1, 1773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3828 - -15311\/4. Let g be 10\/12*(-5)\/25. Which is the closest to y? (a) g (b) 0 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2378*80.1\nAnswer: 19.04778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27995 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 873292792 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n - 19*n + 7*n.\nAnswer: -19*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15 (b) -2\/3 (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*q - 18455 - 7137 = 427*q + 12619 for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 166441056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 4*c = 25, -4 = -4*y - 18*c + 14*c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -0.3 (c) -0.5 (d) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 1. Suppose 0 = 4*h + 4*f - 24, f - 2*f = -3*h + 10. Give k(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) - 5*sqrt(200)*2)**2.\nAnswer: 16200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wknk when four letters picked without replacement from {w: 1, q: 1, k: 3, h: 4, n: 2}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.54 - -19. Let h = j + 0.04. Which is the nearest to 1? (a) -1 (b) 1\/4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylldoaq. What is prob of picking 1 l and 1 q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10615 and -0.5.\nAnswer: -5307.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 79*g**2 + 695*g + 22. Give n(-9).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19512334.\nAnswer: 2, 9756167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5578890 and 816?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10751\/78 - 1\/(-6). Let j = q - -54. Does 32 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 11211119, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 306*v**3 - v**2 - 266*v**3 + 1 - 41*v**3. Let l(f) = -6*f**3 - f**2 - 14*f + 4. Give -l(m) + 4*z(m).\nAnswer: 2*m**3 - 3*m**2 + 14*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 3, -37, -13\/5, 706, 0.4 in ascending order.\nAnswer: -37, -13\/5, 1\/3, 0.4, 3, 706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 26*d**2 - 51*d - 4. Let m be j(2). Let u be ((-6)\/(-5))\/((-6)\/(-15)). Let h = u + -1. Which is the nearest to m? (a) h (b) 3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9731193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpppftp. Give prob of sequence pf.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 123413 (base 5) in base 12?\nAnswer: 298a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) -0.05 (b) 0.12 (c) -0.0642\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-5)*(-175)\/(-3472). Let u = c - -8209\/1240. What is the common denominator of u and -37\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*x = 21, i = 5*x + 1 - 13. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 16*d**2 + 9*d + 235. Calculate the remainder when 400 is divided by p(-16).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 7 + 18)*((0 + 5 - 3)*(-3*j + 3*j + 2*j) + 4*j - 5*j + 0*j - 2*j + 0 + 0).\nAnswer: 17*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021157531 rounded to 5 dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -10, 5, -16 in ascending order.\nAnswer: -16, -10, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**7\/14 + 3*r**5\/10 - r**3\/2 - 4*r. Factor f(b).\nAnswer: -3*b*(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 17*i**2 + i + 19. Let q(c) = 2*c + 4. Let u(s) = s + 3. Let n(k) = 3*q(k) - 4*u(k). Calculate the remainder when n(3) is divided by p(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -458\/3 + 154. Let a be 564\/(-10) - 4\/(-10). Let k be (-3)\/12 + 2\/a. What is the biggest value in k, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.7 - -2.695. Round c to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/(r**(-15)*r*r))\/r)*r)\/(r\/(r\/r**21)))\/(r**(-3))**23 assuming r is positive.\nAnswer: r**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4226*i**2 + 2008*i + 2.\nAnswer: -8452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 44798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -10. Suppose g = -13*j + 8*j. What are the prime factors of ((-1)\/j*30)\/1?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58\/(-435))\/(6\/(-5))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1, 3, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 156656 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 8*i**2 - i - 15. What is p(4)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 5*f**4\/6 - f**2\/2 + 5*f. Differentiate p(b) wrt b.\nAnswer: 20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 8 + 108. Let f = -2009\/1629 + 2\/181. What is the common denominator of (-10)\/k + 334\/(-60) and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2 - 21*n + 2. Let i be q(5). Sort 0, i, 17.\nAnswer: i, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10145, 10663, 11527, 12737, 14293, 16195?\n\"Answer: 173*l**2 - l + 9973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = q + 3*r, -926*q + 3*r = -928*q + 16 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h + 6. Let z be x(7). Suppose -3*n - n - z = -4*g, -4*n - 20 = 4*g. Let u be g + (-3 + -1)\/(-2). What is the greatest common divisor of 22 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 6 - (1807 - 1925).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1424)\/1780)\/(1\/(45\/(-42))).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**3 + 21*y**2 - 24*y + 60. Calculate a(8).\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12188, 12229, 12268, 12305?\nAnswer: 12340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 + 16 - 4) + -8 + 4 + -1 + 98?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 3625cc?\nAnswer: -3625d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28614457.000009 - -28614470. Let o = -13 + x. What is o rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 j, and 1 p when three letters picked without replacement from {o: 8, j: 4, k: 1, p: 7}.\nAnswer: 56\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 14*z + 3. Let l be j(13). Let b be ((-2)\/(-5))\/(l\/(-475)). What is the highest common divisor of 57 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -836, -1641, -2392, -3065, -3636, -4081?\n\"Answer: 4*d**3 + 3*d**2 - 842*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -10010011111101?\nAnswer: 10010011111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -0.3. Let t = 884.1 - 886. Let g = t + h. Sort 0, g, -2\/15 in decreasing order.\nAnswer: 0, -2\/15, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 24 = -16*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2215*t**4 - 4*t**3 - 7*t**2 + 136868 wrt t.\nAnswer: 8860*t**3 - 12*t**2 - 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-8)*(-5 + 1). Suppose k*t - 5*v = 22, v = 5*t + 7 - 85. Let m be 4\/t + 22\/8. Solve 2*j + 8 = -l + m, 3*l + 7 = -2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2092090 and 7865.\nAnswer: 2092090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 441 - 133. What is the least common multiple of 2 and t?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/5, 250, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -696*g**2*p**2 - 14883*g**2 - 2*p**2 - 822*p + 303 wrt p.\nAnswer: -1392*g**2*p - 4*p - 822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.9, -1\/148, -5?\nAnswer: -1\/148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*s - s. Let c = -6 - -4. Let a be 3 + c*1\/2. Solve -a*q = -s*q + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-277)\/1385*(-53 - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -63*b**2 - 40*b**2 + 102*b**2. Let k(o) = 10159*o. Give d(k(s)).\nAnswer: -103205281*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -235577764.7 rounded to the nearest 1000000?\nAnswer: -236000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 360 from 25.1.\nAnswer: -334.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54329159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: e (base 16) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 3506 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35.8 + 33. Let l = w - -7.8. Let f be 2\/(-6) + (-14)\/3. What is the third biggest value in f, l, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 2\/3*q**3 + 2 - 1\/2*q**2 - 5\/4*q**4 + 0*q. Let v be t(1). What is the smallest value in 0.4, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 0.025, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183038365?\nAnswer: 5, 36607673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/3 - 286*x**2\/3 - 2152*x + 16200.\nAnswer: 2*(x - 162)*(x - 6)*(x + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 4 = n. Let m be (n\/3)\/3*-4. Let d(g) = -g**2 - 8*g - 3. Give d(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -325 - -336. Suppose 0 = z - 2*z. Suppose 0 = 2*o + l + c - 390, o + l - 191 = z. Is o a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5527366\/16793 - -10\/2399. Is a > -328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**3 - 16*w**2 + 20*w - 8 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (12 + (0 - 8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-990)\/120*32\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1257459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122379213?\nAnswer: 3, 11, 149, 24889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*h + 152970 = 112808 for h.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2562141205992 - -3.4?\nAnswer: -2562141205988.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*j - 46. Suppose 50*f = 49*f + 11. Calculate the remainder when j is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.25 + 0.2382. Round r to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*n = -4*n - 1364, 3*n = -3. Let t = 7918\/29 - i. What is the nearest to 2\/3 in 0.5, t, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 60*l**2 - 37*l**5 - 51*l**2 - l + 45*l**5 + (6*l**4 - 2*l**4 - 2*l**4)*(-4*l + 5*l + 0*l).\nAnswer: 10*l**5 + 9*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2541))\/sqrt(3) + sqrt(7) + (0 + sqrt(700) + sqrt(700))**2 + -1 + sqrt(7) + 2.\nAnswer: -9*sqrt(7) + 2801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-39)*((-302)\/58 + 5).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4711602059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186, -184, -182, -180, -178?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -921, -900, -887, -888, -909, -956?\n\"Answer: -a**3 + 2*a**2 + 22*a - 944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*k - 18 = 2, 9 = -3*k. Suppose 0 = -3*w - 0*r - 4*r + 147, -w - s*r + 47 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j + 16. Let g be a(11). Suppose 2*w - 1100 - 280 = -g*f, 2*f = -4*w + 2792. List the prime factors of w.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 + 2 = -14*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 s when two letters picked without replacement from shshshhdhhcskschhh?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -26*t**2. Let x(y) = 7*y**2. What is a(x(f))?\nAnswer: -1274*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f**3 + 2*f**2 - 7*f - 595. Let a(w) = w**3 + w + 1. Let v(s) = -6*a(s) - x(s). What is the units digit of v(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2840 + 80*g + 28*g**3 + 1447 - 3*g**2 + 1425 + 4*g**4 + 75*g**2.\nAnswer: 4*(g + 1)*(g + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -37 (b) 4\/3 (c) 22\/3 (d) -0.5 (e) -2\/7 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -7*h + 0*h**6 + 0*h**5 + 0 + 0*h**2 - 1\/7*h**7 + 0*h**4 - 1\/2*h**3. Find the second derivative of u(f) wrt f.\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 0.153, 0.2?\nAnswer: 0.153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0052688 to four dps.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -1272*w + 24. Let t(j) = -1267*j + 31. Give 4*k(c) - 3*t(c).\nAnswer: -1287*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 195938\/3 + 2\/3*w**2 - 1252\/3*w = 0.\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**5\/10 + f**2. Let r(i) be the second derivative of i**3\/6 + 23*i + 1. What is r(k(w))?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-20) + -1)\/3\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -259, -603, -947, -1291?\nAnswer: -1635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor a - 4*a + 2*a**3 + a**3 - 6*a + 6.\nAnswer: 3*(a - 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 20, -2*q + 31 + 60 = 3*t. Let j = t - 28. Solve k - 6 = -4*d, -j*d + 6*k - 2*k - 3 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012398 rounded to 7 decimal places?\nAnswer: 0.0000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*b*j**2*n**3 + 22*b*j**2 - b*j*n**2 - 2*b*j - 24*b + 4*j**2*n**2 + 2*n**3 - 2*n**2 wrt j?\nAnswer: -22*b*n**3 + 44*b + 8*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 4*o**2 + 4*o - 1. Let l = 4 - 8. Let t be (-2)\/4 + (-14)\/l. Let c be m(t). Solve c = -2*n - 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 5*p**2 + 6*p - 2. Let r be d(-6). Let u = 501 + -1169. Is r*(u\/8 - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -465 divided by 155?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 223189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 7:51 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32\/5*(-35)\/(-14) is divided by 158\/18 - 4\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 + -57. Let v(r) = -14*r - m*r - 22 + 30*r. What is the tens digit of v(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + x + 12, 3*x - 15 = 4*o + 4*x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*z + 8042, 2*z - 4*y = 4*z + 5388. Does 8 divide (-2)\/(-14) - z\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 4, 0.2.\nAnswer: -65, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1804*v + 19 + 9254 + 15983 = 0 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 356? (a) -0.2 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -252.68 - -135.626. Let z = m + 0.054. Let p = 117.83 + z. Round p to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93*-0.1\nAnswer: -9.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 v when four letters picked without replacement from {h: 3, y: 7, v: 8}.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 606624 and 353864?\nAnswer: 4246368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(80)*-1 + sqrt(80))*-5 - sqrt(80)) + sqrt(80) + (-1*(-2 + sqrt(80)) - sqrt(80)))*-2*-3*1.\nAnswer: -60 + 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 14*v - 11. Let l be w(-15). Suppose -5*h = -4*o - 8, -4*o + h + 8 + 0 = 0. Suppose -d = 2 + 1, -3 = -4*j + d. Solve j = -l*k + o - 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43.33329228 + -0.2.\nAnswer: 43.13329228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13408140*a + 2835 = 13408059*a for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.098 - -3.098. Let l = 7.85 - -0.15. Let p = l + -8.3. Sort 5, -3, p, t in ascending order.\nAnswer: -3, p, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.2 or 92765?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 94260 and 1308?\nAnswer: 10274340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18990785 to the power of 1\/2, to the nearest integer?\nAnswer: 4358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17496438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 10*p - 30 - 40. Calculate the remainder when 2716 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1\/2 + (-762155)\/(-626)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2080798*r**2 + 511525*r?\nAnswer: 4161596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -1 (c) 1.3 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-3 + -4 - -4). Solve -3*f - f = p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 3:49 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j - 2*j + 0*j - j - j + 0*j + (-1 + 1 + 1)*(2*j + j - 4*j))*(19 + 39 - 39) to the form u*j + d and give u.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - b - 5, -k + 23*b = 483*k + 28*b + 1981 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9103+-3643\nAnswer: -12746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1693*a + 252 = 1711*a. Suppose 0 = -3*f - 83 + 257. Suppose -t + f = 3*r - 6*t, -5*r + 104 = -t. What is the highest common factor of r and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 6, -4*v - a = -0*v - 207. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 11490333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -2, 1\/47, -0.5, -9\/4?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 1049*v**2 + 10397*v - 2. What is x(10)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1300) + 0)**2 + 1 + sqrt(1300) + 1).\nAnswer: -7812 - 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-164 - -125 - (7 + 39))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-3)\/(54\/30). Let j be 272\/g*155\/(-62). What is the highest common divisor of 16 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2791, -5585, -8373, -11155, -13931, -16701, -19465?\n\"Answer: 3*a**2 - 2803*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 21 = -3*n, -4*n - 2*p = -6*p + 12. Suppose -39 = n*w - 259. Suppose 1147*s - 1380*s + 4427 = 0. Calculate the remainder when w is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23523 + -55913. What is k rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2648975 is divided by 1903?\nAnswer: 1902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 + 2*x + 3. Calculate f(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1423*v**3 + 0 + 1662*v**3 + 2)*(-30 + 30 - 4*v).\nAnswer: -956*v**4 - 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*o**2 + 0)*(-1 + 12 - 4) + 0*o - o + 2*o**2 + 5*o.\nAnswer: -12*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00133621127 rounded to seven dps?\nAnswer: -0.0013362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-12) - 1*(-1)\/4. Suppose -72 = -73*b + 65*b. Put -5, b, s in increasing order.\nAnswer: -5, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 6637 + 6632 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (164\/(-30))\/((-5868)\/44010).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 0*o + 2*o)*(-5 - 1 - 8 + 1) + 38 + 20*o - 38 + 9*o + 6*o + 10*o.\nAnswer: 71*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-12)*((-125)\/(-5))\/5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*9\/(-6)*1. Solve -6*h + h = 5*c, 0 = -p*h - 5*c for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqbqqqqqqqbqqb. What is prob of sequence bq?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 - 104. Let r(o) = -340184*o**2. Determine x(r(m)).\nAnswer: -231450307712*m**4 - 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 114*d + 1390. Determine j(27).\nAnswer: -959","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 9*z**2 - 3 + 13*z**3 - 52*z**3 + 56*z**3)*(14*z - 282 + 282) to m*z**4 + o*z**3 + a*z**2 + y*z + q and give m.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/60*103 - (-42)\/(-70). Sort 0.1, 3, b in decreasing order.\nAnswer: 3, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60*-1715121\nAnswer: 102907260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - s = -5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -161a (base 11) to base 3\nAnswer: -2211222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430 = -195*a + 2144 + 1016 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*u = 112, 4*p - 6*u = -3*u + 116. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 + 4*i**2 - 4*i**2 + (93*i + 31*i + 15*i)*(-7*i**2 - 2*i**2 + 3*i**2).\nAnswer: -835*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 26*j**2 + 3*j - 48. Let f be k(12). Do -2\/7 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**4\/18 + 7*x**3\/9 + 10*x**2\/3 + 12*x - 2. Factor b(w).\nAnswer: 2*(w + 2)*(w + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 h, and 1 e when four letters picked without replacement from {e: 1, m: 4, c: 2, h: 3, o: 9}.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7*1 + -178 + 175. Let l(o) be the second derivative of 3\/20*o**5 + 1\/2*o**3 + 0*o**2 + 0 + 3*o + 1\/2*o**j. Factor l(u).\nAnswer: 3*u*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 4*a**2 + 14*a + 1173. Determine q(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -833, -3316, -7443, -13214?\nAnswer: -20629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 + -70. Which is the closest to j? (a) -1\/3 (b) -2\/15 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 2*j**7\/105 - 98*j**6\/15 + 115*j**5\/3 + 386*j**4\/3 - 30*j**2 - 13*j. Solve c(o) = 0 for o.\nAnswer: -1, 0, 4, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3428137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 15322, 2\/25, 2, -0.4?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 4*i = 16, -4*w + 2081*i - 26 = 2083*i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110001 - -10011111101?\nAnswer: 11001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (204*d - 5 - 99*d - 92*d)*(3 - 3 - 2*d).\nAnswer: -26*d**2 + 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*((-4)\/(-8))\/(2\/(-8)). Let o be 18*1*((-4)\/y - 0). Solve 0 = q - o*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 365274 and 273.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) + -1*sqrt(900))\/(sqrt(21)\/sqrt(112)).\nAnswer: -36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**3 - 4*m + 2. Let y be n(-4). What is the greatest common divisor of 30 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182908563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 - -113\/2. What is the closest to -2 in -0.2, m, -1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15872 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 848*t + 765*t + 18 = 1631*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -14 (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2296 and 44?\nAnswer: 25256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 1:26 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l\/l**(1\/4))*l)\/l)\/l*l**(-1\/13)\/l)\/(l*l**5)**(-1\/57))**38 assuming l is positive.\nAnswer: l**(-1701\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k. Let n(a) = 4*a + 3. What is 3*g(h) - n(h)?\nAnswer: -h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11 + (-4 - (-2 - -1)). Suppose -426 = -h*x + 134. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295446167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 - -172. Suppose -4*a = -a - k. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/5, 19.3, 2\/17, -368?\nAnswer: 19.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4588\/32 + 6\/(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -1 + f**2 + f**2 - 4*f**2 + 2 + 7*f**3. What is the remainder when 10 is divided by w(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 - 13*n - 2. Let d(o) = o**2 + 6*o + 3. Let k be d(-9). Suppose -3*v = 2*v + k. Let i be c(v). Is -1 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*f - 9*f - 45*f + 141*f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(539) - (-2*sqrt(539) - sqrt(539))))**2.\nAnswer: 56*sqrt(11) + 8625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 10844*p - 22. Let j be n(-7). Let z = -167069 + j. Let h be (-22)\/(-18) + (-6)\/27 - z. What is h rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -105529.74 to the nearest 10.\nAnswer: -105530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/96 + (-765)\/51408)*-14.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/2 - -1)\/(-1). Let w(t) = 6 - 5 + 2*t**2 + 51*t + 0*t**2 - 50*t. Let f be w(j). Solve h = -f*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 9:57 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2317 + 21083?\nAnswer: 18766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -3. Let h be 1 + (1 - (2 - 3)). Let w be 4*(10\/b - h). Put w, -5, 4 in increasing order.\nAnswer: -5, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 15*w + 39. Let g be x(-17). Suppose g*m - 24 = 171. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0111295198 to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -137 (base 14) to base 13.\nAnswer: -15b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 51, 38, 25, 12?\n\"Answer: -13*k + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 + -0.17. Let l = -210 + 209.8004. Let r = l - z. What is r rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 1\/68751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**5 - 4*y**5 + 2*y**5 + (2 - 1 + 0)*(-108*y**2 - 21*y**5 + 108*y**2).\nAnswer: -22*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -23, -59, -131, -251, -431, -683?\nAnswer: -1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 4*i**3\/3 - i**2 - 55*i. Let u(a) = a**3 - 4*a**2 + 2*a - 7. Let v be u(4). Let c be r(v). Which is greater: c or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 2*l = -8 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 f when three letters picked without replacement from xxxffxxffxfxxx.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000222212212220 (base 3) to base 13.\nAnswer: 310bcc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -30*k - 16. Let r(z) = -60*z - 31. Let l(s) = 5*g(s) - 2*r(s). What are the prime factors of l(-5)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1172 + 1253.1. Let k = 87 - f. Let g = -5.57 + k. Is g < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, -4, 0, 2\/17, 9?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 14 = y, -4*w + 1 = 5*y - 21. Let h be 2*(-1)\/(4\/y). Let r be 3\/h + 0 - -4. Solve -k + r = 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 9*s**3 - 2*s**2 - 1. Does 21 divide h(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 16.53994l?\nAnswer: 16539.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 7*k - 361. Calculate j(0).\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - y + 3 = 238, -3*b = -2*y + 223. Let w = -229\/3 - b. Factor -w*v**2 - 4*v - 6.\nAnswer: -2*(v + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**5\/7 - 33*i**4\/7 - 81*i**3\/7 + 33*i**2\/7 + 78*i\/7 = 0 for i.\nAnswer: -2, -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 5*j**3 + 145*j**2 + 735*j + 1035 = 0?\nAnswer: -23, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22561 + 1005*i**3 - 2003*i**3 + 996*i**3 + 22561.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -13453*u - 549. What are the prime factors of i(-1)?\nAnswer: 2, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.3 - 3.3. Let r = -5 + 3. What is the closest to c in -5, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67\/7683 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*-268430.\nAnswer: -241587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9963029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 - 370*p**3 + 2085*p**2 - 3080*p + 1360.\nAnswer: 5*(p - 68)*(p - 4)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 35 = -19. Let x be 3 + (0 + 2 - -1). Suppose -x*l + t = -66. Calculate the remainder when l is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*u - 73724 + 347727 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -138 + 148. Suppose -6*c + 304 = y*c. Suppose 3*o = -0 + 15. Solve 0 = 3*q - 4*f + 2 + 5, 3*f = o*q + c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2085*a = 31511 + 44874 + 65395 for a.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49990, -99979, -149968, -199957, -249946, -299935?\nAnswer: -349924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 9*g + 35 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35c230 (base 13) in base 15?\nAnswer: 1a541a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 32. Let b = m - 22. Solve -l - b = -2*d, -3*l + 5*l + 11 = 5*d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 6:10 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -30*h + 8. Suppose -5*a + 5*l = -45, 44 = 5*a - h*l + 11. Solve -4 = 4*i + 3*q + a, -4*i + 3*q - 15 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -211364*a**5 - 2*a**3 + a**2 + 177935?\nAnswer: -12681840*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1475.5 - 1476. Is 20 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 71*d**2 + 9*d**2 + 2 + 114*d**2 to the form r*d**2 + g + t*d and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 17107, -13.\nAnswer: -13, 5, 17107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -41*u - 11. Give w(-2).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4925 + -4920. Let x(m) be the second derivative of -8\/3*m**3 - 4\/15*m**6 - m + 0*m**o + 0 + 0*m**4 + 0*m**2. Find the second derivative of x(g) wrt g.\nAnswer: -96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 602676?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 = -2*v, -5*a - 8 - 3 = 3*v. What is the first derivative of -3 + 4*c**3 - 6*c**v + 5 wrt c?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1988970984 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 24 - 6 = 0. Suppose -11 = -3*t + 2*f, -3*t + 0*f + 3*f + j = 0. Suppose t = -l + 21. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130*i - 627 + 627 to the form w + y*i and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3795 is divided by 1877.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (31 + 7)*(5\/2 - 2). Solve -y*d + 104 - 28 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3))**(-33)*b\/(b**1\/b)*b**(2\/11) assuming b is positive.\nAnswer: b**(1102\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51790 - -165780. What is z rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzeeeezeoeezezeez. Give prob of picking 1 z, 1 o, and 1 e.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -466*l**3 - 2*l + 453*l**3 + 1 - l + 6*l + 2. Suppose 2*z - 7*z + 40 = 0. Let k(i) = -38*i**3 + 8*i + 8. What is z*f(m) - 3*k(m)?\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -15\/8, -3, 5?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3497 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, u: 3}. Give prob of sequence ucuu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1401 and 12.\nAnswer: 5604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqmaqkkgagag. What is prob of picking 2 q and 1 m?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -89776660 rounded to the nearest one hundred thousand?\nAnswer: -89800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -65590621.5 rounded to the nearest 1000000?\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -5*p**3 - 8295*p**2 - 3649635*p - 170874385 = 0?\nAnswer: -803, -53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 30 = -3*u, 92*n = 90*n + 11*u - 25 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12045299, -24090555, -36135811, -48181067, -60226323?\nAnswer: -72271579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, o: 9, s: 6}. Give prob of picking 1 r and 2 s.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 245056 to the power of 1\/2, to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 6 = -2*a, -6*m + 265 = -3*a + 247 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 302\/14271 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 5*d**2 - 2*d**3 - 5 + 14*d**2 - 5*d. Let p(l) = -5*l**3 + 23*l**2 - 15*l - 15. Let c(o) = 3*p(o) - 8*u(o). List the prime factors of c(-4).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/120)\/(6\/16). What is the nearest to 3 in 4, j, 0.2, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-30)*-5*4\/(((-351)\/(-26))\/(-27))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/16*4\/(-112).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 367*n - 10. Let o(y) = 6*y**2 + 14. What is p(o(s))?\nAnswer: 2202*s**2 + 5128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*a**2 - 4*a - 1728*a**2 + 175*a**2.\nAnswer: -1422*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -13*m + 90. Let d be h(3). What is the highest common factor of 867 and d?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -201*o**3*w**3 - 4700*o**3 + 2*o**2*w wrt w?\nAnswer: -1206*o**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + 6. Let g = -24 + k. Suppose 4*n - 3 + 2 = s, -2*n - 4*s + 14 = 0. Which is the closest to 2? (a) -3 (b) n (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**2*j**3*o + 17921*c**2*j**2*o + 2648*c**2*o**2 + 2*j**3*o**2 + 2*j**3 + 8*o**3 - 3*o**2 wrt o.\nAnswer: 5296*c**2 + 4*j**3 + 48*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/10 and (-1)\/44*(-528)\/(-495).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88 - -89. Put -1, 3, n, 7 in descending order.\nAnswer: 7, 3, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 8*v**2 + 6*v + 5. Let a be r(-2). Is a less than 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -12. Let v = -8 - u. What is the smallest value in 3, -4, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -17. Let c(d) = -47*d - 1008. Let y(v) = -c(v) + 4*u(v). Determine y(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Suppose 2*j + y*j = 16. Suppose -j*o - 6 = 4*f - 34, -4*f + 23 = 3*o. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*m - 316, -2*m - 396 = -2*y - 3*y. Let v = -48 + y. 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 fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 6*h + 26. Let d be (4\/(-10))\/(2\/10). Let x be (h - 0)\/(d\/(-4)). Solve -2*w = c - x, -4*c + 2 = -5*w - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3327274.49 rounded to the nearest 1000?\nAnswer: -3327000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/3 + (-2)\/(-6). Let l = -530.6 + 531. Suppose 0 = 3*s + 5*c - 2, 0 = s - 0*s - 2*c + 3. What is the closest to s in y, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + u**2 - 2*u**2 + (5*u - 3*u - 3*u)*(0*u + u - 2*u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(-1\/2)*k*k)*k*k*k)\/k**3)\/(k**7*k*k**(-3\/5)\/k))\/(((k*k**(-1\/9)\/k)\/k*k**7\/k)\/(k**(4\/5)*k**(-1\/4))) assuming k is positive.\nAnswer: k**(-2023\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 14809, -3, -35.\nAnswer: -35, -3, -2, 14809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 773*c**2 + 11*c + 45. Let s be g(12). Suppose -s - 97819 = -44*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 106*c**2 - 29. Let b(f) = 6*f**2. Give b(h(t)).\nAnswer: 67416*t**4 - 36888*t**2 + 5046","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2377*p**5 + 1391*p**4 - p**2 - 2678*p + 5175?\nAnswer: 47540*p**3 + 16692*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 62028580 and 11.\nAnswer: 62028591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 3*i**4\/4 + 344*i**3 - 4770. Factor g(t).\nAnswer: 3*t**2*(t + 344)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3110 + -3094. Which is the nearest to h? (a) 2\/7 (b) -2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25257?\nAnswer: 3, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1559*s + 1203*s + 1111*s as b + z*s and give z.\nAnswer: 755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 - (-13 + (47 - 21)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + 3*j + 11, -5 = 4*l - j - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 1:01 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h\/(h**(12\/13)\/h*h)*h)**(3\/7)\/(h**(-18)*h\/(h*((h*h**(-10\/11))\/h)\/h)*h) assuming h is positive.\nAnswer: h**(16426\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5001227?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392682897.\nAnswer: 3, 347, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*u + 306*u - 5 = 11 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/2521 + -889885\/17647. Is q at most as big as -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1782 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 7 - 55*c + 53*c)*(-5*c**2 - 11*c**2 + 3*c**2).\nAnswer: 26*c**3 - 156*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and -62832.1.\nAnswer: -879649.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (31\/(-558))\/(38\/1026)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**2*f**2 + c**2*f*i*m + 3*c**2*i*m + 4*c*f*m - c + f**2*i - 11*f**2 wrt c.\nAnswer: 4*f**2 + 2*f*i*m + 6*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3463 - -8140. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -9*d + 11*d + 12, -2 = -3*g - 5*d. Let m(p) be the third derivative of 1\/3*p**3 + 0 + 0*p + 1\/24*p**g + 7*p**2. Give m(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 167 - 18 = 0. Is q < -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10533003 and 6097?\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2502 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*d - 15, -3*d + 13 = 4*h. Let m be (2\/3)\/(4\/36). Let f(i) = -1. Let o(w) = -2*w + 4. Determine h*o(l) + m*f(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m + 51. Let t be q(-17). Solve 12*o + 5 + 55 = t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219*k - 32*k + 46*k.\nAnswer: 233*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o**3 - 2*o**2 - 10*o + 4. Let h(k) = 8*k**3 - 3*k**2 - 12*k + 3. Determine 4*h(g) - 5*x(g).\nAnswer: 2*g**3 - 2*g**2 + 2*g - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2865479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -856 = 4*f - 2716. Suppose 5*n - 468 = 10*z - 8*z, -5*z - f = -5*n. What are the prime factors of n?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 1, 14, -0.4, -1.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2237 is divided by 596.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 39207 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 6:52 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 36?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 5) to base 12.\nAnswer: a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*d - d - d)*(3 + 5 - 3) + d + d + 0*d)*(2 - 2 + d) to the form s*d + x*d**2 + i and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 0*j**4 + 0*j - j**3 + 3\/7*j**7 + 0*j**6 + 0*j**5 - 3 + 0*j**2. What is the third derivative of v(o) wrt o?\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21, -35, -71, -141, -257, -431, -675, -1001?\n\"Answer: -2*r**3 + r**2 - 3*r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -16*o + 16*o + 16*o - 19*o. Let j(r) = -946*r**2. Calculate b(j(p)).\nAnswer: 2838*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2829805 to the nearest integer?\nAnswer: 1682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001111000011011 (base 2) in base 16?\nAnswer: 9e1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 455*b**3 + 2078*b**3 - 3.\nAnswer: 1623*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -10732\/23 at most as big as -468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 105362, 105377, 105402, 105437?\n\"Answer: 5*n**2 + 105357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2782 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 1:53 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 131*q - 1. Let h be x(1). Let y = -60 + h. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1451642558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = u - 15, 3*u + 267*d - 265*d = -5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5 = x, -6*x - 17 = -3*h - 5*x. Solve y + h*w + 5 = 2*w, 0 = 4*y + 5*w - 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.5 + -8. Let c = 0.2 - -0.3. Suppose -i - 8 = i. Sort i, f, c.\nAnswer: i, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008452 rounded to six decimal places?\nAnswer: 0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12558 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 13*b + 0 + 8 - b**2 - 5*b. Let z be -2*3*(-8)\/6. What are the prime factors of q(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -2260606\nAnswer: -4521212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 4*o - 194, 4*s + 4*o - 117 - 36 = 11 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20, 0.1, 0.02, 0.5, 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 22437.\nAnswer: 179496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1573) - (3 + (sqrt(1573) - -1*sqrt(1573)) - sqrt(1573))**2) + (-1 + sqrt(1573))**2 + -1.\nAnswer: -77*sqrt(13) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2579 + -110314.7.\nAnswer: -107735.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 3*j + 10 + 6 - 40 + 13.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t. Let v(n) = -3*n - 35. Calculate -4*b(w) - 2*v(w).\nAnswer: -2*w + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.5657499 to two decimal places.\nAnswer: 34.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1158 + 2637 - 1290 + 2531)*(2*q - 2*q - q)*(-q + 2*q - 3*q).\nAnswer: 10072*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 10*m**2 + 2*m + 16. Determine l(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 304088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4*c - 7, -5*c = 2*o - 5 - 0. Let v = o - -1. Is 18 a factor of (v\/8)\/((-1)\/70)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1353 times -2305?\nAnswer: -3118665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 u when four letters picked without replacement from uuuuuuuuuuuueuuuuu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 133770819 and 77?\nAnswer: 1471479009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96760755 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1958244330?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -132 - -2346?\nAnswer: 2214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 5\/6, -7, 0.07, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6542491 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*t**5 - 105*t**3 + t**2*u - 9*t*u + t - 863*u wrt t?\nAnswer: -880*t**3 - 630*t + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 4*q + 2. Let c be y(-4). Suppose -5*t = -c*t - 3171. Suppose t = 2*s + 3*z, 1 = -s + 3*z + 507. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**5\/60 + o**4\/8 + 15*o**2\/2 - 25. Let f(c) be the second derivative of x(c). Determine f(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/2945 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*n = 7548 + 27942. What is the greatest common divisor of 819 and n?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4562105038?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0.01, 4.\nAnswer: -11, 0.01, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32408 and 10698691?\nAnswer: 4051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 39247, 0.1, 4, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36723.3 - 36723. Let p = 0.2 + 0.8. Let h = p + -5. Which is the biggest value? (a) h (b) g (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/72 and 31\/450.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*v = -255*v + 96 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4*(-3 + -3). Suppose -4*f - i = 17. Are f and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.017 - 0.017. Which is the nearest to 0? (a) m (b) 2\/13 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 2 - (25 + (-2 - 0 - -2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -1\/6*z**4 - 4*z**2 - 1\/40*z**6 + 0*z + 0*z**3 + 0*z**5 + 0. Find the second derivative of s(q) wrt q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -78*(26\/(-4) + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12684, -12683, -12682, -12681?\nAnswer: -12680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 3. Let l be (-6)\/21 + 160\/(-28). Let c be j(l). Suppose 0 = -3*q + c + 30. What is the remainder when 76 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14935678 and 404?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1913871 * -305\nAnswer: -583730655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -1\/6, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 4*u - 2*u - 3*u**3 - 6*u + 5*u. What is w(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.085423 - 3.0858953.\nAnswer: -3.0004723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.0235, -4, 3, -1698?\nAnswer: -1698","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 2*t + 22779 = 22791, -3*r + 4*t = -31 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 11) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 54431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/13 + 50*s**2\/13 + 296*s\/13 + 408\/13.\nAnswer: 2*(s + 2)*(s + 6)*(s + 17)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -358*j**3 + j**2 + 2*j - 2. Determine f(1).\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g + 2*g**2 - 130395*g**4 - 2*g**3 + 126260*g**4 - 2 - 2*g to z + w*g**2 + u*g + d*g**3 + j*g**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1 - 7) + 3)\/((-4)\/68). Let c = 88 - r. Suppose -c*y - y = -404. List the prime factors of y.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 18 = -10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 681 a factor of 15762445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1412 + -375. Let a = y + -594. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -573*f + 575*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6 + 0.6. Which is smaller: -12\/7 or k?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-26)\/(-4) + -1. Suppose 3*b - z = -0*b. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 38*g**2 - 8*g + 32. What is the tens digit of v(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11621459*v**2 - 18994043 wrt v?\nAnswer: 23242918*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 3*g**2 + 9*g - 3. Let m be v(-5). Find the second derivative of a**2 - a**5 - a**3 - 8*a - m + a**3 + 10*a wrt a.\nAnswer: -20*a**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4601 and 1.9848?\nAnswer: 4599.0152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**3 - 3*i**2 + 5*i. Let k be c(2). Let s = -22 + k. Solve s = -2*l - 0 + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 13 + 28 = 0. Let n be t + (1 - -16) - 2. Suppose -w - v + n = 4*w, 0 = -w + v. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3292157*a**2 - 2460*a - 3292129*a**2 + 2460*a.\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 122220 (base 3) in base 12?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 4. Let h(p) = -p + 9. Let q be h(9). Let x be g(q). Suppose x*u - 32 = 2*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 303755 - 166188. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*l = -96, -68 = 71*g - 74*g + l. Suppose -5*s = -5 - 65. Solve s - g = 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 0. Let a(j) = j**2 - 2*j - 4. Suppose -32 = -4*i - 8. Calculate the remainder when a(i) is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 7*x**2 - 4*x + 4. Let z be f(-7). Let u = z - 21. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*-2*(1 + -2) + 12. Let u = -16 + 16. Let f be 14\/6 - (-4)\/6. Solve f*j + j - 4 = -2*m, u = -4*j - 5*m + q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16010400 and 400260?\nAnswer: 16010400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z**2 - 8*z - 1. Let j be v(9). Is j\/(-4) - 9\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.009 in 0, -0.1, 5, -503?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(121)*1)\/sqrt(11)*-4 + (sqrt(99)\/(sqrt(9)*-2*-2))**2*-2.\nAnswer: -11\/8 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35096603.\nAnswer: 131, 267913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 370 = 440 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -218684, -218678, -218672, -218666, -218660?\n\"Answer: 6*q - 218690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -194239*l**6 - 507*l**2 + 4*l + 1 wrt l?\nAnswer: -23308680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 67.79, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 12*l + 3. Let t = 9 - 21. Let d be g(t). Let m be -15 + d*3\/(-9). Is -76\/5 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4106 divided by -62.\nAnswer: 2053\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - -2 - (-4 + 4). Let h(l) = -73*l**j + 1 - l + 0 + 72*l**2. Let o(g) = -6*g**2 - g + 3. Give 3*h(c) - o(c).\nAnswer: 3*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**2 - 9 - 7*r**4 + 4*r**3 - r**3 + 2*r**3 + 5*r**4 wrt r.\nAnswer: -48*r + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11436 divided by -1?\nAnswer: 11436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 0 + 223*h - 19\/6*h**6 - 20\/3*h**3 + 175\/6*h**4 + 59\/4*h**5 + 0*h**2. Suppose u(i) = 0. What is i?\nAnswer: -1, 0, 2\/19, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9904 and -385 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6 = -4*g, -5*n + n = -3*g + 52. Let l = n - -12. Suppose -4*t + 4 = -l*t. Solve 3 = -t*f + 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + (38 - (54 + 29 + -66))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (395\/1264)\/((-45)\/54)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*t**2 - 10*t**2 + 43*t**2.\nAnswer: 90*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 times -0.18?\nAnswer: -11.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 39843937 divided by -29801\nAnswer: -1337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1877*((-34)\/4)\/((-9)\/18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 422, -1568, -4884, -9526, -15494, -22788, -31408?\n\"Answer: -663*j**2 - j + 1086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 582657728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224596.\nAnswer: 2, 56149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 757 + -763. Sort 0, c, -2\/17.\nAnswer: c, -2\/17, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 46, 3, -1941 in descending order.\nAnswer: 46, 3, 1, -1941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 77*s**2 + 14*s - 50. Let u(g) = 128*g**2 + 28*g - 98. Let x(y) = -5*i(y) + 3*u(y). Determine x(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162373 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-20)*i\/((i*(((i**(2\/17)\/i)\/i)\/i*i*i)\/i)\/i*i))\/(i**(16\/3)\/i**(-25)) assuming i is positive.\nAnswer: i**(-2471\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**3 - 3*r**3 - 6*r**3 + 7*r + 2*r**2 + 5*r**3. Let m(f) = 42*f - 23*f + 7*f**3 - 2*f**2 - 25*f. Determine 6*m(t) + 5*w(t).\nAnswer: 2*t**3 - 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 9 + 0 = 0. Let y = 16 + -7. Suppose m = x - y. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 5 + 2)*(-4 - 27 - 65*z + 67*z)*(-6*z + 12 - 12) to the form k + j*z + c*z**2 and give j.\nAnswer: -1302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 11. Suppose 3*i - u = 97. Suppose 3*k = -2*k + i. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -50057 + -48?\nAnswer: -500a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 150*l + 3824 - 379*l - 3824 to d + c*l and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5710 is divided by 238.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1848 - 4551*v - 3699 + 1851 to the form o*v + i and give o.\nAnswer: -4551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 368\/491, 3 in descending order.\nAnswer: 3, 368\/491, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/465135 and -89\/135312.\nAnswer: 7442160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 - 17*d**3 - 68*d**2 - 100*d - 48.\nAnswer: -(d + 1)*(d + 2)**2*(d + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -13. Let o be 2\/(-1 - -3) + m. Let c(x) = 5*x - 2*x - o*x + 2*x. Let l(s) = -3*s. Give c(l(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 8:53 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5695 - 2337. Let t = -144631\/18 - u. Find the common denominator of t and 110*(5\/8)\/5.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(35)\/sqrt(5) + 2.\nAnswer: sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.313 take away -49.66647?\nAnswer: 48.35347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 6*y**2 - 8*y - 9. Suppose -7 - 43 = 10*w. Calculate l(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*y - 493 = 990 - 503 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**3 + 2*j**2 - j. Let z be l(1). Sort z, -3, -1 in increasing order.\nAnswer: -3, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 6:12 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*u**4 + 29 - 43 + 0*u**2 + 0*u**2 wrt u?\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127249511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -4, 0.4, 443, -0.3, -0.0669?\nAnswer: -0.0669","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -562*f**4 + 1 - 1752*f**2 - 1128*f**3 - 1 + 1744*f**2.\nAnswer: -2*f**2*(f + 2)*(281*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 32*a - 231.\nAnswer: -(a - 21)*(a - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u**2. Let o = 33 - 29. Let j(n) = n**2 + n + 5. Let w be j(0). Let p(g) = -6*g**2. Determine o*p(m) + w*k(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -139. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 404826.595 and -41.\nAnswer: 404785.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**4\/24 + 7*l**3\/6 + 15*l**2. What is b(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -114527, -114531, -114535, -114539?\n\"Answer: -4*y - 114523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -79260 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*t**4 + 631*b*t**2 - 4*b + 382 wrt t.\nAnswer: -4*b*t**3 + 1262*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18870 and 1169940?\nAnswer: 1169940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 3:40 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**3*q + 13*o**3 + o**2*q - 3*o*q + 47 wrt o.\nAnswer: 6*q + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60577643 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19236 and 840?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.89716 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 201 = 18*z. Suppose z*n = 19*n - 2628. List the prime factors of n.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.5421149\nAnswer: 0.10842298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17376*n + 3131 = 17477*n for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 90?\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56 - 80 - 15920*t - 29 + 53 to the form k + z*t and give z.\nAnswer: -15920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 11*k + 359. Let m be v(14). Calculate the greatest common divisor of 369 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 80087*l - 17765 wrt l.\nAnswer: 80087","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1794)\/(-354) + -5)\/(8 + -26 - -20)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + sqrt(128) + sqrt(128) + -1)*-3 + (-5 + -1 + sqrt(128) + sqrt(128)*1 + -3)**2.\nAnswer: -528*sqrt(2) + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 16\/3, -3, 3, -8, -37?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**1)**(-4)*(t\/(t\/t**(-18)*t))\/((t**17*t)\/t))**(1\/38) assuming t is positive.\nAnswer: t**(-24\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -255 and -2.\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1196\/299)\/((-3)\/((-6)\/16)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 19*n - 149. Let s(b) = 11*b - 80. What is 10*s(t) - 6*y(t)?\nAnswer: -4*t + 94","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/17 + 1061460*i\/17 + 56262998\/17 = 0. Calculate i.\nAnswer: -53, 530783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 168019.62 months in millennia?\nAnswer: 14.001635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115817 + 107941 = -2447*c + 327363 for c.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 5. Let k be r(-5). Suppose k = 4*m - 0*m - 4. Which is the nearest to 1\/5? (a) -1 (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 8\/7*w - 24\/7*w**2 - 18\/7*w**3.\nAnswer: -2*w*(3*w + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54490 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 9) in base 6?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.3, 1\/3, 2\/11 in decreasing order.\nAnswer: 1\/3, 2\/11, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 115686?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315 = -207*n + 291 + 636 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5314 + -2570. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -13. Let y be n*((-75)\/6 + -2). Suppose 2*a = -0*w - 4*w + 28, -2*w = -5*a + y. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*s**2 + 3*s**2 - 6*s**2)*(-26 - 273*s**2 - 30 + 56).\nAnswer: 14196*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 + -19. Let m = 238 + o. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96 + (1 + -7)\/((-310)\/(-775)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*d**2*x - 8*d**2 - 3*d*x + 293*x + 2 wrt d.\nAnswer: 8*d*x - 16*d - 3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 239\/7 + -35. What is the common denominator of -23\/4 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b48a + -19?\nAnswer: -b4a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4747 is divided by 250?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-7)*(-34741)\/(-163779).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4 + -0.17126521489?\nAnswer: -6.57126521489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1\/6)*m)\/m**9*m**(-1\/3)*m\/(m**(-13)\/m))**(2\/21))**(-2\/33) assuming m is positive.\nAnswer: m**(-26\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5228 divided by 3\nAnswer: -5228\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 1115?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28.3 - -20. Let w = 11 + -19. Let g = d - w. Which is the third smallest value? (a) -3\/5 (b) g (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3128319 divided by 3128319?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475175 is divided by 649?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 0. Suppose -3*p = w - 5, p + w - 3*w = -10. What is the closest to -4 in p, 0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t - 16*t - 28 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -3, -5, 243.\nAnswer: -5, -3, 31, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26016 - -304?\nAnswer: 26321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**2 - 51 - 18 - 31 - 3*f**2 - 3*f**2 in the form q + i*f + y*f**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -4. Let n(s) be the second derivative of 1\/3*s**2 - s - 1\/36*s**4 + 1\/18*s**c + 0. Let n(i) = 0. Calculate i.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**1*f)*f**(-1\/3))\/(f**(-9)\/(f\/f**(-1\/3))) assuming f is positive.\nAnswer: f**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 9:07 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2279 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 9 = -4*g - 2*s, -s - 3 = 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-52)\/78)\/(24\/18))\/(10\/8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**6\/42 + 7*o**5\/5 + 107*o**4\/14 - 94*o**3\/21 - 645*o**2\/14 + 477*o\/7 + 868. Determine j so that z(j) = 0.\nAnswer: -3, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 - -73. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 513 (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1691116 and 13272?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z. Suppose 9*b + 25 = 4*b. Let c(v) = 2*v - 3. Let o(k) = -4*k + 5. Let h(t) = -5*c(t) - 3*o(t). Give b*f(a) + 2*h(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -191.7 and 13.\nAnswer: -178.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-1)\/(-15)*3). Suppose 78 = 16*o - 2. Sort 0, o, -2, x in ascending order.\nAnswer: x, -2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 94266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -354 (base 8) to base 10\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3743 is divided by 610?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/66218 and 71\/30.\nAnswer: 993270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.807404856 + -6.1?\nAnswer: -6.907404856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -6*g + 8. What is the second derivative of -3*o + 0*o + 3*o**5 - o**5 + g*o wrt o?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61126*-4\nAnswer: 244504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.877 and -0.213459.\nAnswer: 0.663541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 2*d - 8. Let o(g) = -38*g - 7 - 16 + 43*g + 6 - 2*g**2. Suppose 2*y + 8 = 18. Give y*l(w) - 2*o(w).\nAnswer: -w**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 1074793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1380636 divided by 2\nAnswer: 690318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(55\/(-105) - 2\/(-3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 5, 2, 1 in descending order.\nAnswer: 5, 2, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51016675?\nAnswer: 5, 113, 18059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*o + 62 = 54*o. Let a be (12\/(-10))\/(16\/(-40)). Let z(y) = 34*y - 34*y - y**2 + 2*y**a. Give z(o).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -13 + -99 + -12 + -16 + 5 + 13?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 60, 273, 744, 1569, 2844, 4665, 7128?\n\"Answer: 16*w**3 + 33*w**2 + 2*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4\/5, 3, -14, 1 in ascending order.\nAnswer: -14, -5, 4\/5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -5*v - 30, 1310*z = 3*v + 1309*z + 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/2 + 7*o**4\/2 + 17*o**3\/2 + 17*o**2\/2 + 3*o = 0 for o.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -1227904\nAnswer: 49116.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/18 and 1\/123210.\nAnswer: 123210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6*q = 0. Calculate the common denominator of (165\/(-54) - 2) + q and -15\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22, -70, -162, -310, -526?\n\"Answer: -2*m**3 - 10*m**2 - 4*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1366474.944014 + 0.3.\nAnswer: 1366475.244014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.4290409 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (39\/13)\/((-11)\/4). Is -1 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 6.96. Let j = i + -0.26. Let a = 0.6841 + -0.0841. Put 2\/5, -3, a, j in decreasing order.\nAnswer: a, 2\/5, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 14 = 12*s. Which is the nearest to -2\/7? (a) s (b) 2\/11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -79*n - 18. Let a(j) = -j**2 + j - 27. Let k be a(0). Let c be o(k). Suppose c = 9*q - 0*q. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 1. Let x be g(5). Calculate the common denominator of 23\/20 and (-2)\/x - -1 - 287\/(-30).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence diii when four letters picked without replacement from ididi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from {t: 2, m: 1, z: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13465*b**6 + 187*b**4 - 2*b**3 + 791882*b**2 - 1 wrt b.\nAnswer: -1615800*b**3 + 4488*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 396\/(168\/476*-17).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -93*k - 279. Let w be n(-3). Which is bigger: w or 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72504 and 2624136?\nAnswer: 149575752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008714 to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*m - 946193 + 473110 + 473109)*(2*m**4 - 2*m + 2*m).\nAnswer: 58*m**5 + 52*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + v**2 - v. Let o(d) = -2*d**3 + 5*d**2 - 5*d + 3. Let l = -321 - -325. Suppose 0 = -l*k, 3*p - 4 = -p + k. Give p*o(m) - 5*u(m).\nAnswer: 3*m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 plus 2.2109531383?\nAnswer: 82.2109531383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-5 - -7)*-2)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2809*w**4\/6 - 61745*w**3\/6 - 105119*w**2\/3 - 27170*w - 6084 = 0. Calculate w.\nAnswer: -18, -3, -26\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.5 + 7.6. Which is the third biggest value? (a) -2 (b) r (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1205 is divided by 376.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 7*k**2 - 19*k - 62. Let g be a(-6). What is the common denominator of (-82)\/g*(-41)\/(-82) and -31\/88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(-1 + 27*t + 0*t - 10*t).\nAnswer: -34*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (6 - (8 - -2)) + -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a meter in centimeters?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -104.66 - -0.66. Let x = -106 - f. Let w = 15 + -11. What is the nearest to x in 6\/11, w, -5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7188, 7177, 7164, 7149?\n\"Answer: -j**2 - 8*j + 7197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 748181411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -26 + 86. Suppose r = -5*o + 28, r - 2*o - 30 + 9 = 0. Let g = r + j. Solve -g = 2*y - 0*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/((-4)\/(-4) + 1). Solve 4*i = 4*f + 12, y*i + 0*f - 6 = f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 768 - 763. Solve -22 = -4*p - 3*i, 2*p - 4*i + 20 = g*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + a - 9 = 3*a, 3*r + 5*a = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5945, -24606, -55707, -99248, -155229, -223650?\n\"Answer: -6220*f**2 - f + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 16 = -10. Suppose 3*c = c - 4*y + 286, -4*y = 0. Calculate the highest common factor of r and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9954 and 0.2?\nAnswer: 9953.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) 15 (c) 0.13 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.036 and 23.\nAnswer: 28.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1661*(-50)\/550)\/(3\/3).\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + -2 - (-10 - (10 + -16) - (-8 - 3))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*q**5 - 2919*q**4 + 7242*q**3 - 3428*q**2 + 456*q = 0. Calculate q.\nAnswer: 0, 2\/7, 2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -24685*d**2 - 11. Let q(v) = -4940*v**2 - 2. Determine 2*b(g) - 11*q(g).\nAnswer: 4970*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 20. Let p = -0.06 + -1.94. Which is the third smallest value? (a) -4 (b) p (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2166\/855 + (21\/(-9) - 0)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8705915 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 609983258\/13221 - 599790\/13. Let d = -2\/113 - u. Sort d, 3\/8, 1\/6.\nAnswer: 1\/6, d, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 8*b = 32. Calculate the remainder when 47 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -661*t + 17305 + 17728 = 0 for t.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -14051300\/97 smaller than -144859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybyby. Give prob of picking 1 b and 1 y.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7600)\/11292 - (-26)\/39. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/50 - (-9)\/(-15)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - ((-1220)\/(-55))\/4) + -15*1260\/(-25575)?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22415, 44832, 67249, 89666, 112083?\nAnswer: 134500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70563 and 177.\nAnswer: 4163217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -603780, -1207597, -1811414, -2415231, -3019048?\nAnswer: -3622865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*(-4 + (sqrt(13) + 1)*-4 - (sqrt(130)\/(sqrt(10) + sqrt(50)\/sqrt(5) - sqrt(10)) + sqrt(13) + 2 + 0)).\nAnswer: -6*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51595377?\nAnswer: 3, 31, 554789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 11:56 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 537636?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*z - z = 8, -4*b + 3*z = -20. Factor -x**3 - 4*x**2 - 7*x + 2*x - 2 - b + 2.\nAnswer: -(x + 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 4905 = 2447. Suppose 4*r - u = -91. List the prime factors of r.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (23\/(-3))\/(42\/(-84)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2120*n**3 + 1295*n**2.\nAnswer: 12720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*m - 26*m + 8*m + (-3*m + 0*m + 4*m)*(-2 - 2 + 5) + (-2 + 4 + 7)*(m - 18*m - 9*m).\nAnswer: -240*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -605634 (base 7) in base 15?\nAnswer: -20736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00555487 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, r: 2, b: 1, l: 1, d: 1, v: 1}. What is prob of sequence vble?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.855, 1, 3, -5, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ryzya. Give prob of sequence zyy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 4. Suppose -3*h - 2*v - a = -5*h, -v + 2 = 0. Calculate the remainder when 51 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2113423.8*-0.01.\nAnswer: -21134.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (14\/(-3))\/(((-135)\/10)\/3) and -139\/18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*m - 45 = 61, 3*k - 3*m = 99. What is the smallest common multiple of 6 and k?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13798, 55169, 124116, 220633, 344714?\n\"Answer: -i**3 + 13794*i**2 - 4*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-28)*7*(-1 - 1)\/(-92)\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -5bda4?\nAnswer: -5bda7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -713 and -94?\nAnswer: 67022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 v when three letters picked without replacement from {h: 3, u: 1, p: 7, s: 2, v: 2, k: 3}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 1:34 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2*t - 10, m - 2*t + 7*t = 1. Let g(i) = -2*i + 4. Give g(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3758 divided by -1\nAnswer: -3758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12201010122 (base 3) to base 11\nAnswer: 7746a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t - 21*t = 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (10 + -37 - 2) + 18 + (-13 - 1)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*v + 31*v + 8 = 0, -5*v + 20 = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1481*j - 4. Let l(v) = 23688*v + 63. Give -4*l(t) - 63*u(t).\nAnswer: -1449*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*m)*(3 - 2 - 3)*(-1 - 1 + 0)*(-19 - 27 - 1) - 8 - 42*m + 8 in the form n + p*m and give p.\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20164317.\nAnswer: 3, 6721439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-2\/27))\/h*h*h*h**(2\/27)*h)\/(h**13)**19)**8 assuming h is positive.\nAnswer: h**(-1952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Suppose 5*j + 19 = -d - 1, 6 = -d + u*j. Let z be (-40)\/d - (0 - 0). Is z smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -v + 45, -v = -2*l + 13 - 73. Suppose 3*g - 28 + 66 = -85. Let s = v + g. Calculate the highest common divisor of 58 and s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30927327 + 58840327. Round h to the nearest one million.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1663\/340 - -84\/17. Let m(n) be the second derivative of 0 + k*n**5 - 5*n**2 + 2*n + 0*n**3 + 0*n**4. Find the first derivative of m(p) wrt p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**4\/12 + y**3\/6 + 3*y**2\/2 - 11*y. Suppose 0 = -3*u - 7 + 16. Suppose u*f + 10 = 5*b, 3*f = -0*f - 4*b + 8. What is a(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24940 rounded to the nearest 1000?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**3 + 3*n**3 + 4*n**3 + (-2 + 1 + 3)*(-2 - 2*n**3 + 2) - 11*n**3 - 16*n**3 - 52*n**3 to u*n + d + q*n**3 + w*n**2 and give q.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.2 + -126.2. Let o = k - -53. Let m = o + 47. Which is the third smallest value? (a) 5 (b) m (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1835119 and 11581?\nAnswer: 67899403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119502 is divided by 176.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 4. Let g be o(8). Suppose 9 = g*p - 143. Calculate the remainder when p is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12441 divided by -377\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2526 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-10)*(-30)\/(-3). Suppose -k + 2314 = t*k. List the prime factors of k.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - q + 110 = 0, 7*q - 9*q = -3*o + 95. Let c = o + 35. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200659350 + -4\nAnswer: 200659346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -4867.97188609.\nAnswer: -4868.07188609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 5*q**2 - 2*q + 7. Suppose 0 = 3*c - 7 - 50. Let d = 17 - c. Let v = 7 + d. Determine r(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 12:21 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 15\/2, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1, -2, 8, -3 in ascending order.\nAnswer: -3, -2, -1, 0.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/15192 and -127\/48.\nAnswer: 30384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234*n - 63*n + 85*n**3 - 62*n - 52*n - 57*n - 90*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -68*y**2 + 72*y - 24. Give t(-9).\nAnswer: -6180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + 2 + 0 + sqrt(12) + -5 + 4 + sqrt(36)\/sqrt(3) + -2*sqrt(12)*1)*4)**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 - -0.14. What is the nearest to c in 3, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-1)\/(-8) - 0. Which is the closest to 0? (a) u (b) 0.03 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1365*j + 109173. Determine p(-80).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i + i**2 + 5 + 0*i - 2. Let c(x) = x + 7. Let g be c(-6). Suppose 1 = q - g. What is p(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 451306203?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/5))**(-3\/32))**(19\/2)\/((u*u**1\/u*u*u)**(-6\/11)*(u**(-1\/4))**(15\/11)) assuming u is positive.\nAnswer: u**(2853\/1760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((105\/10)\/(-3)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*u - 1)*(-10*u**2 + u**2 - 6*u**2).\nAnswer: -30*u**3 + 15*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -61 in -0.08, -5\/6, 3\/8?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96105 is divided by 6862.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 43451163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 360 (c) -1\/2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -12*x - 3690000. Round x to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/(-2) + 2)\/(2223\/494))\/(2\/(-8))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62\/273 + 31219\/13650. What is the common denominator of -109\/12 and a?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/6*72\/((-45)\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 364 = -4*k, 3*d + 0*k = -4*k + 252. Suppose 6*b - 2*b = d. Let z = -5 + b. Calculate the remainder when 33 is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l. Let o = -26 - -7. Let n = o - -31. Suppose n*m = 9*m + 3. Calculate d(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 400*b - 1049*b + 16874 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -51657 - -64162828\nAnswer: 64111171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3.283333 meters?\nAnswer: 0.003283333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205525395?\nAnswer: 3, 5, 4567231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.018, -129, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/3*(3 + 10\/(-4)). Suppose -4*o + i*u + 532 = 0, 2 + 2 = u. Calculate the highest common factor of o and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/4 of a minute in seconds?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mttt when four letters picked without replacement from {t: 3, m: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 10:16 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*f + 66, -w - 80 = -f - 2*f. Suppose 3*q = 4*q + 111. Let t = w - q. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 2\/9, -4, 1\/10, -21?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -4, -1, -3 in ascending order.\nAnswer: -31, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0373957*-1.1.\nAnswer: -0.04113527","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is -531870 > -531869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*b + 25*b + 11*b + (-3*b + b + 5*b)*(0 - 4 + 3))*(-1 + 0 + 0)*(4 + 0 - 3) as a + d*b and give d.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-290)\/(-3) + 4\/(-6) is divided by ((-450)\/250)\/(48\/(-75) - (-3)\/5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39708 = 4*b + 2*c, 3*c + 31259 = 5*b - 18365. Is b a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**3 - 71*y**2 - 6*y + 140*y**2 + 9*y - 4*y**3 - 73*y**2 + 4. What is k(4)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 2:11 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 165677, 0.3, -0.4, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 528340*k**4 - 515*k**3 - 147137176*k**2?\nAnswer: 12680160*k - 3090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 5*x**2 + 4. Suppose a - 4*a + 15 = 2*d, -2*a + 10 = 5*d. Let k be s(a). Solve 0*l - 2*l - 2*j = 4, -1 = -3*l + k*j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in -7, 1, 2, 6\/31?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 8:29 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 722 - 3583\/5. Let j = c - 1\/15. Suppose j*k**4 + 0*k**2 + 0 - 2\/3*k**5 + 18*k - 12*k**3 = 0. Calculate k.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**0\/(h\/h**37)*(h*(h\/(h*h**(2\/19)))\/h*h)**(-3\/8) assuming h is positive.\nAnswer: h**(5421\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, x: 1}. Give prob of sequence xaaa.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86 + 137. Let v be 122\/i + (-1)\/2*6. Let w = v - 1\/17. Which is smaller: w or 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7482.509 weeks?\nAnswer: 1257061.512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2320321313 (base 4) in base 3?\nAnswer: 1102110220122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -108 - -2158. Let n = -1383 + d. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(720)*2)\/((sqrt(576) - 6*3*sqrt(576)) + sqrt(576)).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/3256, 29, -39, -2, 0.2 in decreasing order.\nAnswer: 29, 0.2, 3\/3256, -2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 - ((-66960)\/250)\/(-27). Is -477 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2590.03031 - 2590. What is y rounded to 3 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Let y = -0.0013 - -7.0013. Which is the second smallest value? (a) -4 (b) k (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/10481436 and 35\/36.\nAnswer: 10481436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 84153697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1290, 4507, 9680, 16809, 25894, 36935, 49932?\nAnswer: 64885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.26023 + 58.29523. Let n = -0.035 + k. Let v = n - 57.14. Round v to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**2 + 11043688*t - 22087360 = 0.\nAnswer: 2, 2760920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n + n**3 - n**3 + n**3 + 6*n wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g + 3. Suppose 0 = -2*v - l - 1, 0 = 2*v + 2*l - 3*l - 5. Let h(y) = -95. Let i(a) = -27. Let w(c) = -2*h(c) + 7*i(c). Determine v*o(j) - 3*w(j).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0. Suppose 5*r + 152 - 572 = o. Does 37 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osso when four letters picked without replacement from {o: 3, s: 12}?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -j + 6, -15*l - 18*j - 45 = -18*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 21. Suppose -3*d + g = -0*d. Suppose 0*p = -5*p + 20. Solve 0 = -p*x + d + 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 47*r - 230. Let c be l(6). Let t = 7 + -4. Suppose 0*g - t*q = -5*g + c, -2*g + 12 = q. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one eighths of a hour?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + -3 + 2)*-3. Let l = 10 - j. Suppose l*g = 2*g + 20. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 26643, 53287, 79931, 106575?\n\"Answer: 26644*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = -4*o - 112 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8660, 17483, 26306?\nAnswer: 35129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -608*h**3 - 20*h + 671*h**2 + 12*h + 8*h - 1297*h**2 wrt h?\nAnswer: -3648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 6 = -4*b. Let t(g) = 4*g**2 - 2. Does 13 divide t(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - (-4 + 10)) + 20987. Suppose -4*g - s = -p - 7*g, 41978 = 2*p + 2*g. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**(-4)*c**(6\/7)*c**0 assuming c is positive.\nAnswer: c**(34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o - 17. Let k be x(-17). Suppose 6 = -5*m + j, -2*j - 3 - 5 = k. List the prime factors of 35\/((-2)\/m + 0).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*u + 424*u = 723*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 0*1\/(-4). Let y = 1 + j. Let r(s) = -s**3 - 3*s**2 + s - 2. What is r(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 8 - z**3 + 2*z**2 + z - 103*z**4 - 3*z**2 - 1 in the form a*z**4 + u*z**3 + d*z + h*z**2 + r and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 1 + -2 + 3. Let v(k) = r*k + 3 + 3*k - 4*k - 2*k. Let s(w) = -w**2 + 7*w - 9. Let o be s(6). Calculate v(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**5\/15 + 3*j**4\/8 - 3*j**3\/2 - j**2. Let m(r) = -2*r**2 + 4*r - 4. Let w be (-3 - 0)*8\/(-6). Calculate w*z(i) - 9*m(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -141726, -283454, -425182, -566910, -708638?\n\"Answer: -141728*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1043 - 52169\/50. Calculate the common denominator of 46\/(-16) + (-14)\/42*15 and k.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-960)\/(-5760))\/(22\/(-144))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 328689 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27291 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffhhhhfhff. What is prob of sequence fhff?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 9, 55276, -1 in decreasing order.\nAnswer: 55276, 9, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 75894624 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(15\/2)\/(m\/m**(-3\/4)*m**(-2))*(m**(-1))**(-3\/20)*(m*m**6)\/((m\/m**(-3))\/m) assuming m is positive.\nAnswer: m**(-31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -6. What is the smallest value in 5\/4, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five quarters of a millimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 6*y**2 + y - 1. Let r be s(0). Let o be 2\/10*r*(-3 - 0). Let u = -0.6 + 0.6. What is the second biggest value in o, 4, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times -5\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2231 - -50?\nAnswer: -2141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.5. Let f be (3\/30)\/((-28)\/5 - -5). What is the closest to i in 1\/6, 0.1, f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/((3*sqrt(72))\/sqrt(9)).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -2, 0.5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 430 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -152*w**2 + 4 - 5*w**5 + 26 - 10*w**4 + 172*w**2 + 12*w**3 - 65*w + 18*w**3 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -7*h**2 - h + 1. Suppose -r - 8 = 4*o - 4*r, 0 = 2*o + 5*r - 22. Calculate d(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.046627 millennia to centuries.\nAnswer: 0.46627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = -162*n + 163*n + h + 44, -3*h - 108 = 5*n for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 41 = 5*x. Solve -x*i - 5*c = -0*i - 11, 5*i - 17 = -2*c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031967 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: Calculate -68952 divided by -22984.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4 + (3 + (sqrt(200) + 2)*-5)*-4 + 2)**2.\nAnswer: 8800*sqrt(2) + 80484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*x - 6*x**2 - 200 + 180 - 17*x = 0 for x.\nAnswer: -10, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1939 or 3877\/2?\nAnswer: 3877\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -124 + 132 - (0 + 1 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7.7 and -948649824?\nAnswer: 948649816.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + s - 3. Suppose 5*d = d. Suppose -t - 3 = -d*t. Let i be b(t). Calculate the greatest common factor of i and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 3*c - 2*c. Let q(o) = -4*o**2 + 3*o - 3. Let m(f) = 46*f**2 - 34*f + 34. Let n(t) = -6*m(t) - 68*q(t). What is p(n(h))?\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4536\/(-360)*(-336)\/882.\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 343 - 340. What is y in 2*y**4 + y**5 + 6*y**3 - 12*y**2 - y**3 - 10*y**3 - 3*y**l - y**4 = 0?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -367*q**3 - 42*q**2 - 4*q - 181. What is the derivative of x(y) wrt y?\nAnswer: -2202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/6))**(5\/4)*v**(-1\/3)\/(v**1*v))**(3\/10) assuming v is positive.\nAnswer: v**(-61\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -20.769 and 68413667.\nAnswer: 68413646.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13021 - -3815152\/293. Which is the nearest to d? (a) -1 (b) 0.1 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -274, -402?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 38, 53, 68?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1817 - -2587. Is 35 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1082343 greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/210)\/(20\/644).\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1592*u + 30. Let k(m) = -3*m + 3. Determine g(f) - 10*k(f).\nAnswer: -1562*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/2*(-16562)\/(-8450)\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*s - 7 - 203, 2*s = -3*c + 71. What is the common denominator of -4 - 2\/((-8)\/86) and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (526 + 9)*(-1 - -3). Suppose j = -7*q - 3*q. Let l = q - -168. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 6. Let b be o(-6). Let d = b - -5. Differentiate -4*k**4 - 3 - d + 4 with respect to k.\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4194 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*p = -64*p - 3*q + 35, 2*p - 5*q + 7 = 0 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4082 or -4084?\nAnswer: -4082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 15*y**3 - y**2 + 122*y + 25. What is the derivative of u(x) wrt x?\nAnswer: 90*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -82, -75, -52, -7?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 287385?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqqvvvffqvvqqfq. What is prob of picking 1 q and 2 f?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45775676519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 2*b, -3*l + 6*b - 20*b = -18*b - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*u + 3)*(31978*u**2 + 30444*u**2 - 81605*u**2).\nAnswer: -38366*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1977882504.\nAnswer: 2, 3, 13, 983, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-54)*3)\/((-2)\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v + 45. Let t be u(-9). Let x = 4 + 16. What is the remainder when ((-66)\/t)\/(6\/(-63)) is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 2*l + 3*v - 6*v, -3*v = 4*l + 11 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1184893047.\nAnswer: 3, 13, 17, 23, 59, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s + 19. Calculate f(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14152 - 18*z**3 - 13859 + 10*z**3)*(-3 + 3 + 1) - 2*z**2 + 2*z**2 - 2*z**3.\nAnswer: -10*z**3 + 293","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -10, 8, 1, -3, -333 in increasing order.\nAnswer: -333, -10, -3, -2, -1, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u - 129. Calculate x(0).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 25 - 29 = 0. Let b be -1 + 5 + -1 - (-1 + g). Calculate the lowest common multiple of 1*(-3)\/9*b - -18 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752632261.\nAnswer: 59, 12756479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56*r**5 - 22*r**5 + 5*r**5 + (2*r**5 - 5*r**5 + r**5)*(0 + 1 + 0) - r**2 + r**2 - r**5.\nAnswer: 36*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (7 - -3) + (-14 + 4 - -56).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -1.61 (c) -0.63 (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -110*c**4 + 221*c**4 - 9*c**5 - 105*c**4 + (-c**4 - 2*c**4 + 0*c**4)*(0*c - 2*c + 0*c).\nAnswer: -3*c**5 + 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 120803 - 68713. Suppose f = 29*u - 19*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -0.02 (b) -1\/4 (c) -2\/9 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from vvmvmv?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, 150, 830, 2156, 4344, 7610, 12170, 18240?\nAnswer: 26036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 155 = -4*d, 2*v = 5*d + 6*v - 199. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (12 - 18) + -11\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -1\/20*l**6 + 0*l**5 + 45*l**2 + 1\/70*l**7 + 0*l**3 + 0*l**4 + 0 + 0*l. Suppose d(m) = 0. What is m?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*d = 25*d - 130 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1023.\nAnswer: 5\/1023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x + 2 - 4*x - 2*x. Let g be s(-2). What is the highest common factor of 242 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1523 = 7*o - 31. What is the tens digit of ((-3)\/18)\/((-1)\/o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 13*o**2 - 13*o - 15. Let h be g(-12). What are the prime factors of 1 - 6*(h - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/7)\/(h**(1\/10)\/h))**(-20))**(7\/2) assuming h is positive.\nAnswer: h**(-93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -8 - 20*v - 20*v**3 - 3*v**4 + 11*v**4 + 40*v**3 = 0. What is v?\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a + 7. Let l(c) = -3*c + 6. Let h(t) = 4*l(t) - 5*w(t). Let k be h(-8). Suppose 115 + 203 = 4*n + p, -5*p + 405 = k*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-1)\/(-5)*(-5)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 481 = -5*o, 0 = -o + 2*f - 3 + 102. Find the third derivative of 4*v**2 + o*v**3 - 1660*v + 1660*v + 21*v**2 wrt v.\nAnswer: 582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121020102 (base 3) to base 7.\nAnswer: -160616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 6:16 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 7\/28*-4. Let x(s) = 2*s**3 - 2*s. Let g(z) = 2*z**3 - 2*z. Let f be -3 - 2 - (-16)\/(-4). Let d = -5 - f. Determine c*g(p) + d*x(p).\nAnswer: -2*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/9923?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 5*v + 40, -v + 0 = 5. Suppose -j + 3*x = 5, -5 = -5*j + 4*x + u. Solve 0*p + 2*p + j = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4+-6.05798\nAnswer: -10.05798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 1549167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5241 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + -5)\/((-1)\/20). Let d be 35\/c + (-2)\/(-8). Let t be (-1)\/d + (-7)\/(-10). Sort t, -0.5, 0.1 in descending order.\nAnswer: t, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8161212?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 97040 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2\/7 - 1633*a\/7 + 1632\/7 = 0. What is a?\nAnswer: 1, 1632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -27*l**2 - 6. Let x(b) = 28*b**2 + 7. Let a = -33 - -40. Let k(n) = a*g(n) + 6*x(n). Let m(t) = 2*t**2. Calculate m(k(y)).\nAnswer: 882*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a**2 + 7*a - 1. Let l(c) = -86*c - 91*c - 5*c**2 + 1 - 86*c + 257*c. Give 7*l(p) + 6*z(p).\nAnswer: -5*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3265830 and -2184109.\nAnswer: 1081721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 91683467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**3 - 10*d**2 - 8*d - 2. Let v be i(-4). Let h(z) = 4 - z + 0*z + 2. Let r be h(6). What is the nearest to r in v, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*h - 4 - 61 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a = -d + 42, -20*d + 33*d = -7*a + 16*d - 26 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 (base 9) in base 3?\nAnswer: 1000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*w = 8*b - 12, -w = -4. Solve 6*u + 2 = b*u - 5*y, 3*u + 2*y + 16 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9057284ng in grams?\nAnswer: 0.0000000009057284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47955230.\nAnswer: 2, 5, 23, 208501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504010 = 3*n + 2*b, 4*n - 8*b - 671975 = -3*b. Round n to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -483004, -483007, -483010, -483013, -483016, -483019?\n\"Answer: -3*c - 483001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20 and -0.065.\nAnswer: -20.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 3*d = -5*d - 11, 6*q + 6*d = 11*d + 16 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -8 - 1\/((-3)\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 4*s. Let y(w) be the second derivative of -w**5\/20 + w**4\/12 + w**2 + w. List the prime factors of y(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 6*y = -20. Suppose -p - 3 = 0, -3*p - 545 = -y*i + i. Is 30 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**4\/4 + u**3\/6 - 3*u**2 - 12*u. List the prime factors of o(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/8)\/(7 - (-155)\/(-20))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 18*z - 15. Let o(i) = 2*i - 1. Let y(b) = b**3 - 2*b**2 - 6*b - 7. Let d be y(4). Let k(g) = d*s(g) - 5*o(g). Give k(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 5*d - 4. Let h be v(-6). Let q(o) = 2*o**3 - 4*o**2 + 2*o + 1. Let m be q(h). Sort -5, m, 1 in decreasing order.\nAnswer: m, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(6\/13)*g**2*(g**(1\/2))**(-16) assuming g is positive.\nAnswer: g**(-72\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/5)*z**(-1\/6)*(z\/z**(-3\/14)*z)\/z*z**(-6) assuming z is positive.\nAnswer: z**(-541\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -166937.208 to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + g**2 + g + 2. Let k be y(-2). Let b be (-2)\/(-3) + 1312\/48. Suppose 0 = -32*n - 4 - b. Sort k, -2, n in increasing order.\nAnswer: k, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 5:39 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/4)\/(6\/160). Let z be 1\/(-2)*k\/5. Suppose -h = -19 + 5. Solve 2*g - h = -z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -205532 and 0.1.\nAnswer: -20553.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 5:33 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (13 - (-7 + 11))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(14)\/(sqrt(128) + sqrt(128)*-4 + sqrt(2)) + (sqrt(567) + (sqrt(567) + 1 - sqrt(567)) + -4 + (sqrt(567) - -3*sqrt(567)) + -5)**2.\nAnswer: -16559*sqrt(7)\/23 + 14239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4802.73 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-42)\/110 - (-3)\/15. Let r = 3\/107 - -306\/535. What is the smallest value in z, r, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (89 - 14 + 96)*(2 - 2 - x) - 5 + 5 - 2*x as r*x + u and give r.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*1*sqrt(19))**2 + -2.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**3*p*p)\/p**(3\/7))\/(((p\/(((((p*p\/p**(-2\/13))\/p)\/p)\/p)\/p))\/p)\/p**7) assuming p is positive.\nAnswer: p**(976\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2081\/340 - -110\/17. What is the common denominator of u and -99\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5*l - 3)*(3*l - 5*l - l) + 2*l**2 - 2*l**2 - 14*l**2 + (5*l + 0*l - 3*l)*(3*l + 0*l - 5*l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7431*v + 44586. Calculate z(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 153896 = -3*s - 154025, 54 = 5*l - s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -50. Let m = 28 + 1. Find the second derivative of 29 - u*a**2 - m + 24*a wrt a.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31c (base 15) in base 14?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (282\/9)\/((-8)\/12). What is the nearest to -1 in -4, b, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 7:34 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/16 + (-9)\/(-2). Suppose 15 = -0*w - b*w, 4*f + 4*w - 268 = 0. What is the highest common factor of 45 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1*1)\/((-17)\/391). Suppose 5*p = -13 + l. Solve p*r + 12 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-30)\/10 + 2 + 4885?\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7*a**4 + a**3 - 5*a**2 - a - 6. Let h(c) = 6*c**4 - 2*c**3 + 4*c**2 + 2*c + 5. Let n(j) = 6*h(j) + 5*m(j). Determine d, given that n(d) = 0.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32b4da (base 14) in base 3?\nAnswer: 10020110101221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 0*a - 48 + 48 - 2*a. Let y(i) = 7*i. Give k(y(p)).\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**7\/840 + y**6\/180 - y**5\/30 - 5*y**4\/12 - 5*y**2. Let b(z) be the second derivative of i(z). Is 12 a factor of b(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40529 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2270960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 123*m**2 - m - 67682. Let v be c(0). Round v to the nearest 100.\nAnswer: -67700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - -7. What is the derivative of -10 + l - 10 - 2*p**4 - 5*p**4 wrt p?\nAnswer: -28*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 7*l + 3*l, 2294*v - 2291*v + 17*l - 40 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/2 + 611161*s\/2 - 2750184.\nAnswer: -(s - 611152)*(s - 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5*sqrt(165)*-3)\/sqrt(5))\/((sqrt(176) - 5*-1*sqrt(176) - sqrt(176)) + sqrt(176) - sqrt(176) - (sqrt(176)*1 - sqrt(176))*-4).\nAnswer: 9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14650 and 113058445?\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7332*p + 8. Let z be d(6). Round z 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 42*f**3 + 316*f**2 + 14290?\nAnswer: 126*f**2 + 632*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -8*g + 548. Let s be y(-20). What is the highest common factor of s and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 3)*(-5 + 3 + 1)*(-d**3 - 4*d**3 - d**3).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -874 + -3756?\nAnswer: -42ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -34 and -0.3.\nAnswer: -34.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 13 = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a factor of 1402490487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 804897, 804944, 804993, 805044?\nAnswer: 805097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.82959ns to milliseconds.\nAnswer: 0.00004382959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/88230 and 16\/473505.\nAnswer: 2785156410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2 = -i, -2*i + 5*i + 22 = 5*c. Let f be 0\/(-2 + c - 1). Suppose f = 5*u + 10, -3*u - 14 = -4*a - 4. Let l(z) = 6*z + 1. Calculate l(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57289273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in -5\/2, -11, -8.03, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/10*10\/4. Is (90 + -3 + q)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -8*v**3 + 12*v**2 + 9*v - 9. Let p(m) = 35*m - 16*m**3 + 15*m**3 - 1 + m**2 - 34*m. Determine -18*p(x) + 2*w(x).\nAnswer: 2*x**3 + 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 10*m**2 - 5*m + 5. Let v(s) = -11*s**2 + 6*s - 6. Let j be 64\/(-6)*-31*21\/14. Let u = j + -501. What is u*v(o) - 6*c(o)?\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-21) - (-1)\/(-21). Let r = 0.32 - 0.42. What is the closest to r in l, -3, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437*v**2 + 11 - 224*v**2 - 217*v**2 + 3*v - 3*v.\nAnswer: -4*v**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1928 (b) 2 (c) -0.04 (d) -0.3 (e) 20 (f) 3 (g) 1\/28\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208195983?\nAnswer: 3, 3041, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/6212 and -37\/3106.\nAnswer: 6212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.09 - 0.09. Let i = 2.3 + -0.3. Let x = i + -2. Is u greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*u - 372 = -57*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 46 = -4*z, 2*z = -z - 5*d - 352 + 377 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 + 45.99934. What is i rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 2179377?\nAnswer: -5\/2179377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-45)\/21)*(-6535)\/(-23526).\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -366 + 292. Which is the second smallest value? (a) 5 (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/10? (a) -1 (b) -1.5 (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1063 (base 8) to base 15.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/27*-6)\/((-4)\/6). Let u(d) = -20*d**2 - 5*d + 0*d + 38*d**r - 19*d**2 + 2. Calculate u(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -975 divided by -5?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2*(-4)\/(-100))\/(10\/(-7 + -43)). Which is the closest to f? (a) -7 (b) 3\/2 (c) 6\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1507*m**2*z - m**2 + 13*m*z + 3*m - 21 wrt m?\nAnswer: 3014*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17491 - 17525 - (-43 + -2 + 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r = 563 + 559 - 69. Solve 34*y - r*y = -25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4271*i**4 + 5*i**2 + 5*i + 199. Let w(y) = -10678*y**4 - 12*y**2 - 12*y - 498. Let q(v) = -12*j(v) - 5*w(v). Find the first derivative of q(x) wrt x.\nAnswer: 8552*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9080 divided by 4?\nAnswer: -2270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47*d*g**3 + d*g + 345*g**3 wrt d.\nAnswer: 47*g**3 + g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(304) + (sqrt(304) + 1 + 4)**2) - (sqrt(1216) + 2 + -2*sqrt(1216) + sqrt(1216) + 2 + sqrt(1216) + 3)**2.\nAnswer: -3239 - 376*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24606 is divided by 915.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)*-2 + 0 - (1 + sqrt(275) + sqrt(275) + sqrt(275) + sqrt(275) + 5)) + -3*(sqrt(275) - (sqrt(275) + 2 + -1))**2)*-5 + -1.\nAnswer: 44 + 150*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r - 6 = 0. Let d be (384\/198 - 2) + r\/(-9). Do 0.2 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31217\/28 - -1115. What is the common denominator of j and -43\/10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, k: 7}. Give prob of sequence kf.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 3. Let r(u) = 2*u**2 + u + 1. Let h be r(-1). Let n be d(h). Let s(t) = 2*t**3 + 6*t**2 - 9*t - 6. Let l be s(-4). Sort l, n, 3.\nAnswer: l, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7547 and 11.\nAnswer: 83017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 8032b7?\nAnswer: 803300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2827, 3757, 4681, 5599?\n\"Answer: -3*t**2 + 939*t + 1891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 7 (b) -5 (c) -0.055 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 4. Give w(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67197, -135245, -203293, -271341, -339389?\nAnswer: -407437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -5.043. Let z = t - -2.857. Let d = z + -10.8. What is d rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 20*v**2 - 18*v + 39. Determine k(-19).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 982102 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-27)\/45)\/((-2)\/90). What is the remainder when 76 is divided by -7 + 7 - h\/(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*f**3 - 1)*(1107 + 33*f - 1107)*(-3 + 0 + 2).\nAnswer: -66*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 - 4*g - 5*g**3 - 14*g.\nAnswer: -6*g**3 - 18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 1 - 1)*(-h**2 + 0*h**2 + 0*h**2)*(-5*h + 5*h - h).\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010000 - 1000110101011100111?\nAnswer: -1000110100111010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 257607 and 20286.\nAnswer: 82949454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -209, -413, -693, -1049, -1481?\nAnswer: -1989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74.5 + -74.3. Which is the closest to -56? (a) -4 (b) l (c) 0.3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82578252 to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 0*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*(-1)\/12 + -3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 7 - 5, c = -3*x + 29. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 6:41 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 61*x + 540. Let g be q(-9). Let y = -64 + 36. Let r = y + 18. Are g and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3*f**3 - 7*f**3 - f**3 + 10*f**3.\nAnswer: 5*f**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 93\/(-62)*(-16)\/(-6) - -38. Suppose s*p - 5*p = 15109. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 57 + 62 = -2*f, 5*f = d - 24. Sort 8, -1, f, 0 in decreasing order.\nAnswer: 8, 0, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11265 divided by -3247?\nAnswer: -11265\/3247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**2 - 2*b + 11. Let o(t) = 2*t**2 + t - 4. Let w(n) = -3*m(n) - 8*o(n). Calculate w(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 5183312*z - 1679170205584.\nAnswer: -4*(z - 647914)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1.71, 1\/6, -36 in descending order.\nAnswer: 7, 1\/6, -1.71, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -374 + 369 - (1804\/(-28) + (-3)\/(-7) + -1).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 268912 divided by -56\nAnswer: -4802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v. Let z(k) = -220932*k**2 - 4. Determine q(z(n)).\nAnswer: 220932*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -47, 48, 139, 226, 309?\n\"Answer: -2*f**2 + 101*f - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1256070 - 882763. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 27 + 3. Let u(y) = z*y**2 + 0*y**2 - 4*y**2 + 6 - 3*y**2. What is the units digit of u(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.03 - -0.03. Let z = -20.3 + 22.4. What is the second biggest value in z, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 39.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16 + -3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + 12. Let s = 42 - k. Let y = -54 + 76. What is the remainder when y is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 8393896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - g**2 + 79. Is h(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 5\/253?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -4) + -2 + -4 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 26 + 2 = 0. Suppose 5*v = 3*v + p*f + 24, 0 = -3*v - 2*f + 12. What is the units digit of 4 + -3 + v + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -894849155\/7 bigger than -127835595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12951.029844 + 12951. What is p rounded to 3 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 3*a - 11, -d + 2*a = -0*a. Solve 0 = 4*b - b - 6, -d*r - 4*b = -8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*j**3 + 34*j**3 - 21*j**3.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79.01 + 0.99. Let d = -3 + m. Let r = -68.3 + d. What is r rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-12)\/2)\/(-30)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2 = 2*d, d = -4*d - 2*h + 26. Solve 16 = d*r + 2*k, 2*r - 6*k + 8 = -3*k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41544, 41546, 41564, 41604, 41672, 41774?\n\"Answer: l**3 + 2*l**2 - 11*l + 41552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(2156)*-2*6)**2 + ((-2*sqrt(2156) + sqrt(2156))*-2)**2 - (4 + sqrt(2156) + -1 + 1)).\nAnswer: -14*sqrt(11) + 319084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -45722*c. Let u(f) = f**2. What is u(h(a))?\nAnswer: 2090501284*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001409 to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5 - 6*g**4 - 9*g**3 - 4*g**2 = 0. What is g?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1370035, -5480128, -12330283, -21920500, -34250779, -49321120, -67131523?\nAnswer: -87681988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26954 - 27687.65. Let b = i - -697. What is b rounded to the nearest integer?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2494, -2, 15, -0.05 in ascending order.\nAnswer: -2, -0.05, 0.2494, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -44. Suppose -2*t - 14 = -v. What is the remainder when 28 is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61318066 to the nearest integer?\nAnswer: 7831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 11. Let q = 2936 + -8807\/3. What is the fourth smallest value in 1, q, l, 3\/16?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1143*t**2 - 125 + 93 - 1139*t**2 + 38.\nAnswer: 4*t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4142*c. Let z(t) = t. What is z(a(o))?\nAnswer: -4142*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10, -483, -1832, -4463, -8802, -15275, -24308?\n\"Answer: -71*w**3 - 2*w**2 + 10*w + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 441, 1012, 1819, 2862, 4141?\nAnswer: 5656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -20. Calculate the common denominator of -73\/20 and (-297)\/30 - 1\/a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4\/5 - 2001*t**3 - 80184*t**2\/5 - 160464*t\/5.\nAnswer: 3*t*(t - 3343)*(t + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1590, -1965, -2280, -2511, -2634, -2625, -2460, -2115?\nAnswer: -1566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3962012.5 rounded to the nearest ten thousand?\nAnswer: -3960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 96*g**2 - 834*g - 71477. What is f(-97)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**3 - 53*z**2 + 34*z + 4. Let b be d(17). Solve b*x - 4*v - 2 + 6 = 0, 0 = -2*v - 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -2*n**7\/105 + n**6\/15 - n**5\/15 - n**2. Suppose s(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 414 + -360. Suppose 0 = -384*r + 378*r - x. Put -4, r, 2 in ascending order.\nAnswer: r, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**3 - 8*z**3 + 11*z**3 - 7 to the form i*z**2 + g*z + l + x*z**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:09 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*k + 152, 3*y + 5*k + 54 = -60. Let c be (-8)\/(-9) + y\/(-171). Find b, given that 14\/9*b**3 - 8\/9 + 2\/9*b**5 - 2\/9*b**2 - 16\/9*b + c*b**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*v = -19*v + 217 + 763 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 15) in base 6?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) 4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/54 and 5\/96?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113455103 (base 7) to base 2.\nAnswer: 11010110010011011010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**3\/3 - 9*a**2\/2 + a - 3. Let h(j) be the first derivative of p(j). Calculate the least common multiple of 3 and h(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 3. Let r be b(-3). Let u be -3 + 7 + (-5 - (r - 3)). Which is bigger: u or 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -8 (b) -20 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(((i*i**(2\/3))\/i*i)\/i)*i**1)\/(i**1)**(2\/19))**(4\/9) assuming i is positive.\nAnswer: i**(280\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -m - 1 + 1 - 272 + 135 + 20*m + 138 - 52*m + (-1 + 1 + 2*m)*(-2 - 1 + 2) as n + z*m and give z.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 37*l**2 + 7*l + 7. Let t(c) = -12*c**2 - 2*c - 2. Let h(z) = 6*o(z) + 21*t(z). Let m(n) be the first derivative of 2*n**2 + 4403. What is h(m(y))?\nAnswer: -480*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*b + w, w = b + 2*w - 2. Let z be 906\/30 - b\/(-5). Let r be (9\/z)\/((-1)\/(-5)). What is the second smallest value in 1, -1\/10, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 21, 5, 4, 31, -3, -5.\nAnswer: -9, -5, -3, 4, 5, 21, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 620\/(-80) - (0 + -8). Factor 0*l - x*l**2 + 0 + 0*l**3 + 1\/4*l**4.\nAnswer: l**2*(l - 1)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 4:24 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 4. Let a be x(6). Let t(v) = 2*v - 1. Let h be t(4). Suppose -h = a*l - 27. Calculate the highest common factor of 110 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.629 - 17.569. Which is the nearest to r? (a) 58 (b) -3\/4 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3427 (base 11) to base 14\nAnswer: 18dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(147) + -1 + sqrt(147) + sqrt(147) + 2)*-5.\nAnswer: -210*sqrt(3) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 12:05 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 - 234d5?\nAnswer: -234ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**2 + 5*s - 11. Let h be y(17). Round h to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5008360 and 105?\nAnswer: 15025080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*(sqrt(91)*2 + sqrt(91)))\/sqrt(7))**2.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(1120\/(-735)))\/(6\/(-6))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28659185 to the power of 1\/3, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 2 = -3*y, 0*l - 3*l + 6 = -4*y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 - 2 + 12 + 17 - 3.\nAnswer: -2*q**3 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4 - -1) + 4)*3*1. Suppose l*u - 4 = w, w - 5*u + 6 = -6. What is the derivative of 40*k**2 - 58*k**2 + 8 + w wrt k?\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-1))\/(-2) - -3878*338\/(-182). Round v to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1335912 + 1335912.4000015. Let d = 0.4 - m. Round d to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -84 + 83. Let s(j) = j - 1. Let w(g) = g + 2. Give p*s(m) - w(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 3*c = 59942 - 60092, 135 = 3*v + 3*c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(3\/7)\/b*b*b**(-2))\/(b**0\/b*b)**(2\/41)*((b**(2\/7))**(4\/7))**(3\/4) assuming b is positive.\nAnswer: b**(-22\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 522198 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6165506 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -45*s**2 - 70550*s + 15680 = 0?\nAnswer: -1568, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1750 and 400.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -0.6. Let a = h - 0.7. Let k be (-158)\/48 + 2142\/(-5712). Which is bigger: a or k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -5*c - 10. Let a = -1 + c. Calculate the least common multiple of 16 and a.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 + -1)*-1*(30 + -41). Let s = 235 + i. Calculate the smallest common multiple of s and 8.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -9*(-12)\/(-36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -24?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36204 - 3?\nAnswer: -36210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 160 - -661?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2478 or 2264?\nAnswer: 2478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -22. Solve -q + l*y + 3 = -6, -2*y - 8 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0683 + -0.0783. Sort -1\/2, n, -0.23.\nAnswer: -1\/2, -0.23, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 7, 0.019, -2 in decreasing order.\nAnswer: 7, 0.019, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdd when three letters picked without replacement from {p: 2, l: 1, d: 3, k: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (3 + (-8 - -3) - (5 - -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)\/(r\/((r*r**(4\/19)*r*r)\/r)*r)*(r**(4\/7)*r)**(-6))**(3\/26) assuming r is positive.\nAnswer: r**(-375\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a meter in centimeters?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqrxqqreqrr. Give prob of sequence qxr.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 37. Let v = 3 - p. What is the remainder when v is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b - 4*b + 242 - 84 + 3*b. Calculate the remainder when j(-19) is divided by 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -6*t - 250. Let h = t + 258. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 6 = -36. Calculate the highest common factor of 48 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -2*i**3\/3 + 1. Let k(t) = 50*t**2 - 13*t**2 - 20*t**2 - 19*t**2. What is y(k(w))?\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*f - 133*f**2 + 268*f**2 - 130*f**2 - 4 to o + u*f**2 + s*f and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -328*y**3 - 17*y**2 - 68*y - 6. List the prime factors of j(-4).\nAnswer: 2, 7, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1346204.7 seconds to minutes.\nAnswer: 22436.745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 5*q**2 + q - 1. Let j be d(-4). Let o = -3 - -6. Suppose -o*f - 49 = -214. Calculate the highest common divisor of f and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e373 - c?\nAnswer: -1e37f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -6*k - 60 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(3 + 44\/(-20)). Let c be (0 - 2 - 2*f) + -2. Suppose -3*r + 11 = -5*k, -3 = -c*r + 3*k + 8. Is r at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/66*1\/((-18)\/(-12)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t. Let g(y) be the first derivative of y**2\/2 + 5*y - 1. Let i be g(-3). Let d(h) = -i*h**2 + h**2 + 0*h**2. Calculate d(m(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11388 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12805 equal to 128039\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-117988)\/(-28) - 3\/(-21). Calculate the highest common factor of r and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.357 (b) -1\/7 (c) 5 (d) -0.5 (e) 0.13 (f) 1 (g) -2\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -11, -20?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**(-11\/6)\/l)\/l)*l*l\/(l**(2\/5)*l)*l**(-5\/14)\/l**(-35))**23 assuming l is positive.\nAnswer: l**(96784\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92*w**3 - 89*w wrt w.\nAnswer: -552*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*c + 4 = -4, 4*d = -3*c - 6. Solve 20 = -d*t - 20*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**2 - 1. Let m(b) = 5*b**2 - 1. Let r(x) = -6*m(x) + 7*z(x). Let g be r(1). Solve 0*q = -g*q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 4*z = -2*l - 2, 5*l - 3*z = -11. Suppose -4*j + 6*j = 3*u - 45, 62 = 5*u + j. Let d = l + u. Solve 0 = -5*b - d - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -40*h**4\/3 + 68*h**3 - 124*h**2 + 292*h\/3 - 28 = 0.\nAnswer: 1, 21\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/7385 and 22\/435715?\nAnswer: 435715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3616 + -3612. Solve 0*f = j*f - 4*r + 20, -5*r = -2*f - 19 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.2, -5711?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -31, -70, -123, -196, -295, -426?\n\"Answer: -u**3 - u**2 - 29*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 2778*g**2 + 1 - 2*g + 2767*g**2 + 16. Let c be u(-13). Suppose -1464 = -9*p + c. 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 657 minutes after 1:47 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -952*v - 59784 = 21136 for v.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(5760) + sqrt(5760))\/(-4*(3*sqrt(56)\/sqrt(7) + sqrt(8))).\nAnswer: -33*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 46577*d - 476. Is o(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -1 - -4) + (11 - -1 - 25).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (1 + (7 - 0))) + 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/8)\/((-2)\/(-8))*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 524 - 524. Solve 89*d - 90*d - 5 = f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -9*o**2 + 9*o + 1. Determine j(4).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7091 or 7153?\nAnswer: 7153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 66216 = -4*r - 8555, -5*p = 3*r - 43233. Is (2 - -1)*r\/48 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115545 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -2. Let o = -3 - -5. Let f(h) = 2*h**2 - s*h**2 - 6*h**2 + 4*h**o. Let p(r) = 7*r**2. What is p(f(c))?\nAnswer: 28*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-1)\/14) + -408 + 431?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 7*k**3\/3 + 25*k**2\/2 + 46*k + 107. Let t be a(-2). Solve -4*u + 3*z - t = 0, -3*z = 5*u + 6 - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 212 and 84.\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**4*w - 2742*k**3*w + k**2*w - 6306*k**2 wrt k?\nAnswer: 48*k*w - 16452*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12301909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/142 and 40\/(-60) - (-308)\/192.\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 327, 3, -2 in increasing order.\nAnswer: -2, 2, 3, 327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 5*p - 595, 5*t + 21 = -5*p + 586. Calculate the remainder when t is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b - 4. Let o(j) be the third derivative of j**4\/24 + j**3\/6 - 53*j**2. Suppose 5*a = -r + 25, 56 = 5*r + 2*a - 0*a. Determine r*o(n) + 2*u(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 1:33 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) -5 (c) 0.5 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to 466112350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1671517.\nAnswer: 1671517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.4 + 2.6. Sort 7, -1, f, 5 in decreasing order.\nAnswer: 7, 5, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.064968 rounded to 4 decimal places?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-75)\/(-35) + (-2)\/14. Solve v = -w*v - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 3*n + 5 = 0, -2*x = 27*n - 30*n - 11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -53 and 2?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -193, -836, -1927, -3466, -5453, -7888, -10771?\n\"Answer: -224*p**2 + 29*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 12:36 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.3 + -1501.\nAnswer: -1513.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1194800253?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -2 + 32\/24. Let v(j) be the first derivative of -m*j**3 - 2\/5*j + 7\/10*j**2 - 5. Factor v(h).\nAnswer: -(h - 1)*(5*h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 2, -5 in decreasing order.\nAnswer: 3, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 32*d - 18 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*h**2*m**3 + 96*h**2 - h*m**6 - m**2 wrt m.\nAnswer: 54*h**2 - 120*h*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -14*a - 6. Let o be i(-3). Suppose 0*z = z - 4*c - o, -5*c = 0. Suppose -45 - z = -3*f. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000050287588 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7*w**7)\/(w**(-2\/25)*w\/w**(-4)) assuming w is positive.\nAnswer: w**(227\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u + 8. Let y(v) be the third derivative of v**4\/12 + 3*v**3\/2 + v**2. Let b(q) = 70*q - 1814. Let d be b(26). Give d*f(l) - 5*y(l).\nAnswer: 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4703 = -1899*r - 1106*r - 79437 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17253*c = -17255*c + 2*l + 4, -3*c = -2*l - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (1 - 17) + 32 + -15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 105333 + 52?\nAnswer: 105385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 g when three letters picked without replacement from ggggcugggmgmgpupgmm.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 245777, 245789, 245801, 245813, 245825, 245837?\n\"Answer: 12*p + 245765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.15, 0.1 in decreasing order.\nAnswer: 4, 0.15, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(1\/4)*j*j*j*j\/(j*j**(4\/7)\/j))\/((j**(3\/8)\/j*j)\/j**(-6)) assuming j is positive.\nAnswer: j**(-123\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.416 rounded to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1596 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i + 2. Suppose -3*j + 30 = -0*j. Let p(k) = -3*k + k - 8994133 + 8994138 + 7*k. Give j*z(b) - 4*p(b).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.07354 and 63862093.\nAnswer: 63862100.07354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + -13. Let j = 16 + z. Which is bigger: -2\/11 or j?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19137649 is divided by 5482?\nAnswer: 5469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -84*f**3 - 4*f**2 + 6*f + 6. Let u(q) = 84*q**3 + 5*q**2 - 8*q - 8. What is 4*o(b) + 3*u(b)?\nAnswer: -84*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**2 + 585482*i - 585482*i - 10*i**2 + 2167*i**3.\nAnswer: 2167*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13666380 - -0.034.\nAnswer: -13666379.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26334 and 614726?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from igiiiiigigiiiiiiigii.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -422980 > -422970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 1\/3 (b) -0.4 (c) 3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1606800 is divided by 759.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 444 - 289. What are the prime factors of 9\/(360\/184)*o?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8, 2, 12?\n\"Answer: 10*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2512 + -2509. Suppose -k - 4 = k. Let g = 1 + k. Put g, 1, j in decreasing order.\nAnswer: j, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2 - 3446937*g - 3446934 = 0. Calculate g.\nAnswer: -1148978, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/945010 and -43\/13310.\nAnswer: 945010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/10*-3 + ((-2944)\/(-880))\/8.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 10:39 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 + 0*y**2 + 11*y**2)*(5*y**3 - y**3 - 7*y**3).\nAnswer: -39*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-2))\/(-1))\/(86\/(-172)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(17) + (sqrt(153) - sqrt(17)))*-3.\nAnswer: -9*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29477\/45 + 655. Let h = -17637.8 + 17637. Which is the smallest value? (a) h (b) 0.3 (c) -0.3 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3476844 and 729?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38190*i = -38192*i + d + 64, 3*d = 0 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + 6*r**2 - 3*r**2 + (0 + 3 - 1)*(6*r - 6*r - 3*r**2) + (r - 1 + 1)*(-r - r + r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 0.44, 0, 0.1, -2\/3 in descending order.\nAnswer: 51, 0.44, 0.1, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, f: 3, e: 2, j: 5, b: 1}. Give prob of sequence beef.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lznmzvwn. Give prob of picking 1 z and 1 m.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + -206\/5. Put 0.07, -1, f in increasing order.\nAnswer: -1, f, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -5*j**4 + 265*j**3 + 35*j**2 - 1825*j - 1590 = 0.\nAnswer: -2, -1, 3, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1031 = -5*s + 1041. Solve 3*g = -z - 4, 0 = s*g + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*j**3 + 12*j**2*o**2 + 2*j**2 - j*o**2 - 23*j - 4*o**2 wrt j?\nAnswer: 24*j + 24*o**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.3, 4, -1\/8748172, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from nmmnmnnnnmmmmnmm.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -28*u + 2. What is the tens digit of w(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 times 2982?\nAnswer: -107352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*(-24)\/24.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11295027.\nAnswer: 3, 37, 107, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -100001000010101110110?\nAnswer: -100001000010101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, k: 1, v: 8, t: 1, y: 9}. What is prob of sequence tkvy?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 64295313 + 94.0787\nAnswer: 64295407.0787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + t**3 - 41*t + 3*t.\nAnswer: t**3 - 38*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1444231140 (base 5) to base 7\nAnswer: 45066054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 0, -55 in decreasing order.\nAnswer: 0.11, 0, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*r + 480, 5*v - 120 = -r + 16. Calculate the remainder when 574 is divided by r.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 147 - 34. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4086 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111000100000010111 - 10000?\nAnswer: 1101111000100000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*n - 58 = 0, 2*n = 7*n - 10. Suppose 5*m = 3*m + w. Suppose 55 = 5*l - m*j, -3*l = 2*l + 5*j - 5. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 5*p - 19, 7*g + 3*p - 5*p + 1 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1302999122\/309 + -4216821. Let s = 3\/103 + r. Let w = -365429\/74437 + 1\/6767. What is the common denominator of s and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 369111539 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -11*s - 128. Let w be j(-13). Is (-31356)\/(-195)*w\/6 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -391294 and 0.055899.\nAnswer: -391293.944101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -88 - -65. Let v = -172 - -744\/5. Which is greater: v or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 8:45 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 4*g. Which is smaller: 1\/4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1.4. Let g be (-4)\/(-6) - 2\/2. Let w = -0.5 + 0.2. Put w, g, j in descending order.\nAnswer: w, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -6\/11 (b) 2\/9 (c) 4\/155 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 5*l + 12, 0*l - 20 = -5*f + l. Factor -5\/2*n**3 + 0*n - 5*n**f + 0*n**2 - 5\/2*n**5 + 0.\nAnswer: -5*n**3*(n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 5*p = -446, -86 = 3*y - 4*y - 5*p. Suppose -18 + y = 29*c. Solve 6*j + 4 = c*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 292*m**3 - 2*m**2 + m + 3. Suppose -4*c + 0*c + 8 = 0. Is t(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62626 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -669*i - 658*i + 1931*i - 605*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 13. Give o(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 121 = 3*g - 322, g - 89 = -5*n. Sort 4, -4, g, 23 in increasing order.\nAnswer: -4, 4, 23, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*i + 5*b = 4, i - 32 = -5*b. Calculate the smallest common multiple of i and 37.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 65?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30502973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83\/44 + 18\/11. Let d be (-408)\/108 + 2\/(-9). What is the fourth smallest value in -0.047, 2, d, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -15*x**2 + 2*x + 2. Let d(s) = -32*s**2 + 5*s + 5. What is 6*d(k) - 15*j(k)?\nAnswer: 33*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 376 + -216. Let v = -114 + p. Let x = v - 51. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 32 = -2*o, 4*o - 4 = 730*x - 735*x for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2404 - -36046\/15. Let a = -180 + 171. What is the common denominator of l and 328\/(-60) + a\/((-18)\/10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkrlllklzkllzkzl. Give prob of picking 3 z.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 5. Let x = k + -6. What is the closest to -2\/9 in x, 0.4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 223, 228, 235, 244, 255, 268, 283?\n\"Answer: o**2 + 2*o + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jfj when three letters picked without replacement from {c: 1, n: 2, f: 2, a: 1, u: 1, j: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(75) - sqrt(75)*1)**2 + sqrt(75) + -1)*2.\nAnswer: -6 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2\/9*r**5 + 0*r - 4\/9*r**4 + 4\/9*r**2 + 0 + 2\/9*r**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 41*b + 3. Let o(w) = w**3 + w**2 + 39*w - 2. Determine 3*o(r) + 2*v(r).\nAnswer: r**3 + 3*r**2 + 35*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 785, 1565, 2345, 3125?\nAnswer: 3905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 66\/(-30) - (-2)\/10. List the prime factors of 2\/6*3 - l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 75\/20 + (-6)\/8. Suppose -3*y + 7 = a*b + 1, -b - 22 = -5*y. Sort y, 1, 2 in decreasing order.\nAnswer: y, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -158 and 8.36.\nAnswer: -1320.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(5 - 6 + 5)*(-q + 5*q - 3*q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*f + f. Let s(u) = -13*u + 2. Let h be s(-1). Calculate the greatest common factor of f and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 530\/5035 - (-2)\/19*37. Let f(v) = 3*v**2 - 8*v + 8. Determine f(c).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22489\/4 + 5623. What is the nearest to -1 in -0.033, 8, j?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209, 137, 11, -169, -403, -691?\nAnswer: -1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2579891 is divided by 1274?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 - ((-86)\/21 + 48\/72)?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6833774501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1\/3))\/(d**(-4)*d)*(d**(-2\/9))**(-45))**(-1\/78) assuming d is positive.\nAnswer: d**(-43\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 22122 (base 3) to base 12\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.11 from 0.381816565415.\nAnswer: -0.728183434585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 109, 207, 319, 451, 609, 799, 1027, 1299?\n\"Answer: t**3 + t**2 + 88*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6 = 5*y, -5*c + 4*c = 3*y - 5. Which is bigger: c or -210\/29?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -159964 > -158099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from nsa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79501 and 428?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 1814*f**2 + f + 1. Is k(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000587177 to 7 dps.\nAnswer: 0.0000587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 372716 less than 1051971764?\nAnswer: 1051599048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/4)\/((-6)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from ipipiuplpipup?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**4\/5 - 5936*k**3\/5 - 25836*k**2 - 766528*k\/5 - 128656 = 0. What is k?\nAnswer: -1462, -11, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -128.00595 - -128. What is u rounded to 4 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tlltllftyfftl. What is prob of sequence fll?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -151*c - 14. Suppose -2*b + 4 = -6. Suppose -5*j + b*u - 57 = -j, 5*j + 62 = -3*u. Is y(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -804*10\nAnswer: -8040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 17*o - 41. List the prime factors of k(-26).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*u**2 + 20*u**2 + 24*u**2 + 18*u**2 - 74*u**2.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.24, 1\/2, -18\/211, 3 in ascending order.\nAnswer: -18\/211, 0.24, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-81)\/30)\/(-9)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42954277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -906 * 0.4\nAnswer: -362.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**3 + 98*b**2 + 50*b + 112. Determine a(-24).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414*s = -41202 - 147168. Calculate the greatest common factor of 1295 and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 289*t**2 - 346*t + 65006. Give p(-287).\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1848*d - 752 = 1801*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knwb when four letters picked without replacement from ngkgfgwnnfnbn?\nAnswer: 1\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1.1. Let o = -6452 + 6454. Which is the nearest to -7? (a) o (b) t (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.39 - -9.19. Let o = 27232 - 3812443\/140. Let m = o - 1\/70. Which is smaller: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 1. Let m(w) = -w**3 - 3*w**2 + 5. What is the remainder when m(-2) is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78424.870094 + 0.129906. Let b = a + -78349.0024. Let x = 76 - b. Round x to four decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4355, 4381, 4453, 4595, 4831, 5185?\n\"Answer: 4*j**3 - j**2 + j + 4351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**4 + 40*x**3 - 5*x**2 - 40*x = 0 for x.\nAnswer: -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -440*f**2 - 1433*f**3 + 384*f**3 - 364*f**2 wrt f?\nAnswer: -6294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3431 by 3431.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - h + 12. Suppose 0 = x - 0 - h. Let a(y) = -2*y**2 - 18*y + 23. Calculate the remainder when x is divided by a(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 380\/(-30)*(-12)\/(-14) + ((-152)\/(-14) - 12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9307 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 269.4 and -0.0944391.\nAnswer: 269.3055609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 616097?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 83470212 and 51009574.\nAnswer: 918172332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*i + 40*i + 80*i)*(1 + 1 + 0) + (-1 + i + 1)*(4 - 4 - 1) + 0*i - i + 3*i.\nAnswer: 179*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2165?\nAnswer: 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 17.776 and -5337.75.\nAnswer: -5319.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 95*t**2 - 2 + 56*t**2 - 112*t**2. Let u(z) = 9*z**2. Calculate w(u(s)).\nAnswer: 3159*s**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000372367 to 6 dps.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/4)\/(3\/12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*f - 2663 + 951 - 2848. What is the highest common divisor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 47. Let q(u) = 2*u - 48. Let o(y) = -2*q(y) - 3*w(y). Let f be o(-14). Calculate the greatest common factor of 53 and f.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x - 8. Suppose -13*q + 168 = -6*q. Calculate the highest common divisor of q and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3695*k**2 - 5 + 5.\nAnswer: -3695*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 7*v**2 - 7*v + 5. Calculate the remainder when u(5) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*-4372828\nAnswer: -34982624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 6. Let z(t) = 7*t - 5. Let s(p) = -4*p. Let o(v) = -2*s(v) - z(v). What is 2*a(x) + 3*o(x)?\nAnswer: x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 m when two letters picked without replacement from {s: 1, m: 4, o: 1, p: 1, c: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50? (a) -2\/11 (b) -0.14 (c) -0.1 (d) 26 (e) -1\/11 (f) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - f + 210, 5*q + 5*f - 2*f = 524. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 186967.\nAnswer: 8\/186967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/7 (b) 3 (c) 47 (d) 117\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 82727 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**3*z**2 - d**3*z + 816*d**3 - 471*d**2 - 3*d*z**2 - 2*z**2 wrt d?\nAnswer: 18*z**2 - 6*z + 4896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**5 + 10*y**4 - 30*y**3 - 20*y**2 + 65*y - 30 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18292 by -18292.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 - 4 - -2)\/((-2)\/85). What are the prime factors of (-2)\/((-8)\/w)*400\/(-125)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 837 a factor of 12909051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**21*y**(4\/9)*y assuming y is positive.\nAnswer: y**(202\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2380471.\nAnswer: 2380471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 9*o**2 - 10*o - 4. Let i(p) be the first derivative of p**4\/2 - 11*p**3\/3 + 4*p**2 + 6*p + 113. Let k be i(4). Determine j(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 219*g**2 - 12*g - 6. Let x(d) = -93*d**2 + 6*d + 2. Let z(q) = 3*s(q) + 7*x(q). Calculate z(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b - 7 + 1 + 2.\nAnswer: -11*b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - -6 - 11) + -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -w + 3*q, 8 = 2*w + 2*w + q. Suppose -4 = -a, w*i = 2*a - 3*a + 4. Suppose -6*t + 4026 - 72 = i. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 332217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -155 - -157. Sort g, 0.1, -17\/5.\nAnswer: -17\/5, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 + 84.5. Let b = -9.147 + g. What is b rounded to two decimal places?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 44 = 212 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2493 times 0.036?\nAnswer: -89.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/6 and 79\/290.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/12 and -25\/4970072?\nAnswer: 14910216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (-3 + sqrt(4032) + 0 - sqrt(4032)))**2*5 + 3.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*a = -135. Let j = a - 11. Calculate the remainder when j is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 8 = v - 3*i, 2*v = 2*i - 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 126\/5 at most as big as 404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 3:55 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 6*k**2 - 3*k - 8. Let u(j) = 2*j**2 + 87*j - 40. Calculate the lowest common multiple of u(-44) and t(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 1.3, 2.\nAnswer: -0.05, 1.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 2160, 7, -0.4, -4\/3, 1\/5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-36))\/((-24)\/(-1368)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)*1)\/sqrt(8) - -1*sqrt(2)*-5)**2 - -3*((-3*sqrt(72) - sqrt(72)) + -4).\nAnswer: -72*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.55 + 0.05. What is the smallest value in x, -3, 3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25 - 32 - 11*b + 57 + 9*b**3 wrt b.\nAnswer: 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 + 0*f**5 + 7*f**5 + 0*f**5 + 0*f**5 - 2*f**5 + (f**3 + 0*f**3 - 4*f**3)*(-3*f**2 - 3*f**2 + 3*f**2).\nAnswer: 16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -4079*h**5\/20 - 577*h**4\/6 + h**3\/6 - 3524*h. Find the third derivative of u(d) wrt d.\nAnswer: -24474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39.173 + 39.673. Which is the second biggest value? (a) -253\/5 (b) v (c) 1\/6 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/200*(-298)\/(-447)\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**4\/12 + 2*l**2. Let d(z) = -3*z. Give d(o(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -7*l + 44. Let f = 26 - l. What is the second derivative of 0*v**f - 14*v - 5*v + 6*v**4 + 4*v wrt v?\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -255340 (base 6) to base 3\nAnswer: -1011212220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00611255 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -d08 (base 15) to base 7\nAnswer: -11360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 429775?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17150 and 113114050.\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -0*w. Let y = -0.14 - 0.06. Let k = 457\/2016 - 1\/224. Which is the closest to -1\/8? (a) y (b) w (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16\/3? (a) -3\/5 (b) 4\/7 (c) 0.3 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/2 + 1 + (-8)\/(-4). Let u(c) = c**3 + 3*c**2 - 6*c - 6. Let m be u(-4). Suppose -3*j + 18*j + 6 + l*j**m - 6*j = 0. What is j?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**5\/20 - 5*k**4\/6 - 19*k**3\/6 + 16*k**2 + 191*k. Let r be s(-6). Suppose 0*j = j - 7. Solve -r*p - j = 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -1.98.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -255.5747 and 0.02?\nAnswer: -5.111494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 4:16 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 2*f**2 + 2*f + 2. Let t be r(3). Let w = -25.71 + -2.29. Let x = -36 - w. What is the closest to 0 in x, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-2*(-5)\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6144)\/64*(-2)\/(-42)*(-28)\/4\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 - 69. Suppose 2*p + m + 7 = 4*v, 0 = v + 2*p - 10. Let n(y) be the first derivative of -y**4\/4 + 5*y**3\/3 - 3*y**2\/2 - 5*y - 1. Determine n(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -55*c**3 - c**2. Let d = 18 + -15. Suppose 5*f - 2*p + 15 = 0, 3*p - 20 = 2*f + d*f. Does 18 divide s(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 22.2?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20469833 - 6723*r - 20469833 to q*r + b and give q.\nAnswer: -6723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 118153 divided by -28?\nAnswer: -16879\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*i + 19143501, -s - 2520733 = -2*i + 5136668. Round i to the nearest 10000.\nAnswer: 3830000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -9*a**2 + 2*a + 1. Let f(g) = 4*g**2 - g - 1. Let w(d) = 7*f(d) + 3*s(d). Let x be w(5). Let l = 31 - x. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/(-4) + (-2)\/(-4). Factor -5*i - 15*i**3 + a*i**3 + 9*i**3 + 3*i.\nAnswer: 2*i*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 720 = -2*o + l, -o - 2*l = -144. Is o a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 - 1?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 226040459?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23362.88 - 22713. Let s = 650 - k. Which is the smallest value? (a) -0.5 (b) s (c) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 912 + 24 = 0. Suppose -2*i + 21*q = 24*q + 24, 3*i = 5*q - j. Which is greater: i or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/22, -2\/17, 0.02, 3\/4.\nAnswer: -2\/17, -1\/22, 0.02, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*j - 11*j + 13*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*j**3 - 15*j**3 - 8*j**3 - 29*j**3 - 20*j**3 - 20*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 105035 (base 7) in base 9?\nAnswer: 27388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8*l**2 + 26*l - 20. Let w(n) = -n**2 + n. Let t(h) = -f(h) + 12*w(h). Let j(x) = -7*x**2 - 5*x + 7. Let u = -53 + 36. Give u*j(z) + 6*t(z).\nAnswer: -z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 119 + -123. Let w be n\/(-4)*-1*12\/(-6). Solve 2*a = -k + 6, -k + 6 = -6*k + w*a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 16*q**3 - q**2 - 3*q - 1. Let c = -39 + 38. Let v be i(c). Calculate the remainder when 11 is divided by (-20)\/8*54\/v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 341 = -79. Solve -26 = 4*f - s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2 = -10. Let x be ((-3)\/9)\/(2\/p). Which is bigger: -2\/13 or x?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22734.6 rounded to the nearest 100?\nAnswer: -22700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 44541?\nAnswer: -44544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a + 1. List the prime factors of l(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + 2*sqrt(114)*-3)\/(sqrt(864) + sqrt(864)*-2 - sqrt(864) - sqrt(864) - sqrt(864)).\nAnswer: 5*sqrt(19)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/2452 or 0?\nAnswer: -3\/2452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11354.9 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182628 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/44 - (-13375)\/(-23540)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a microsecond in nanoseconds?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 q when two letters picked without replacement from siqqisciivq.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(0 - 4\/(-8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 8*p - 6. What are the prime factors of z(-5)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1474719*i**2 + 1474725*i\/4 - 3\/8.\nAnswer: -3*(4*i - 1)*(983146*i - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 41970482*i + 125911464.\nAnswer: -2*(i - 20985244)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39.21 + -41.21. Let m = -0.5 + 1. Let g = 19 + -22. What is the closest to g in m, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4097*g**2 + 723*g**2 - 7372*g**2 - 14333*g**2 + 19 - 19)*(-2 + 2 - 2) to u*g**2 + i + o*g and give u.\nAnswer: 33770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**4 - 5*z + 2*z**3 + 73*z**2 + 1 + 75*z**2 - 147*z**2 to the form j*z**4 + g*z + c*z**2 + h*z**3 + n and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 179988 divided by -2?\nAnswer: -89994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1350393.\nAnswer: 3, 11, 151, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 144032820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*a - o, -o + 28 = 23. What is the third derivative of -62*x**a - 164*x**2 - 35*x**4 - 43*x**2 wrt x?\nAnswer: -2328*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 3:38 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -76*f + 509. Is q(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**5 + 48*t**4 - 32*t**3 - 1152*t**2 + 1728*t + 6912.\nAnswer: -4*(t - 6)**3*(t + 2)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - 4 - (-192)\/193. Let h = -1151\/1351 + x. Let m = 4\/7 + h. Do m and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 3635544?\nAnswer: -3635541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 3*t**2 + 3*t + 4. Let y be r(-2). What is the first derivative of -628*a**2 + 590*a**y - 3 + 6 wrt a?\nAnswer: -76*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 3*r + 12. Let m be q(-6). Let x be (-4)\/6 - -158*(-5)\/m. Suppose x = 2*s + l, 4*l + 88 = s - 0*l. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in -3\/4, -1, -0.1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -7*w. Is 961 + 11 - 1\/(w + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1243 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: Let v(x) = -8*x. Let d(t) = -3 + 0 + 3 - t**2. Determine d(v(n)).\nAnswer: -64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 5 + -35 + 54?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 963c + 3?\nAnswer: 9641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 21. Let o(b) = -b**3 - 6*b**2 + 11*b + 9. Let z be o(-7). Let c be d(z). Let -11\/2*k - 4*k**3 - 9*k**2 - 1 + 3\/2*k**5 + c*k**4 = 0. Calculate k.\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.06, 3, -3, 5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 12506 = -2*z - 3*z, -5*f + 62606 = 6*z. What are the prime factors of f?\nAnswer: 2, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6542 + 6544. Solve -4*m + q*s - 4 + 0 = 0, 2*s = m - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 142, 267, 478, 775, 1158, 1627?\n\"Answer: 43*d**2 - 4*d + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 61, 2, 2\/15, -2\/135, -0.4.\nAnswer: -0.4, -2\/135, 2\/15, 3\/2, 2, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*o + 9*o - o**2 - 17*o - o**3 + 9*o**4 as z*o**4 + y*o + n + u*o**2 + q*o**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**2 + 1735446*t - 752943204729 = 0.\nAnswer: 867723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = d - 35. Let s = -121 - -86. Let t = s + d. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27596717809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*b + 9*b - 945 - 555 = 0. Suppose 2*j + 4*l = -0*j + 92, 0 = 3*l - 9. Calculate the least common multiple of j and b.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62372, -124737, -187100, -249461, -311820?\nAnswer: -374177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2529.939 microseconds in milliseconds?\nAnswer: 2.529939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**5\/30 + 143*h**4\/18 - 140*h**3\/9 - 284*h**2\/3 + 14*h - 69. Factor x(m).\nAnswer: -2*(m - 142)*(m - 2)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 4964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhdd when four letters picked without replacement from dyhddyhhyhhydhd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**3 - 10*s + 9. Let r be p(1). Let o(f) = 20475*f**2 - f - 1. Let i be o(-1). Let n be 5000\/i + (r\/(-9))\/(-2). Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 515 - 1008. Let k = 824 + y. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000327172128 rounded to seven decimal places?\nAnswer: -0.0003272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03 from -14.860627.\nAnswer: -14.890627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 2:25 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 81*g - 2. Let m(n) = -2*n**2 + 145834*n - 145834*n. Give m(l(a)).\nAnswer: -13122*a**2 + 648*a - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2522 plus 221.88671?\nAnswer: 2743.88671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -233 + 380. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-124)\/279)\/((-3)\/9).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*d + 9*d + 24753. Calculate the remainder when d is divided by 35.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*u**3 + 66*u**3 - 40*u**3.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -59, 0, 36 in descending order.\nAnswer: 36, 3, 0, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l + 10. Let y be 28\/(-12)*3*-1. What are the prime factors of a(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 2*d = -7 + 41, 5*b + 2*d - 24 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 336 + 550?\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 227 + 52)*(4*p + 73 - 74 + 15*p + 4*p + 0*p - 3*p + (-2 + 4 - 4)*(2*p - 4*p + 0*p) - 4*p + 2*p + 3*p).\nAnswer: 6825*p - 273","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-197)*(-84)\/(-28)*18\/702*26?\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 + 30*h + 147. Let q be m(11). Let x(r) = r**2 - 4*r - 64. Give x(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**2 - 4220*b + 2*b**2 + 4216*b + 15*b**3. What is the units digit of l(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213 (base 9) to base 8.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/126 + 3\/(-42)*-2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 0.2, 0.027767 in increasing order.\nAnswer: -5, -1, 0.027767, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 8*r**2 + 7*r - 2. Let f be x(7). Let k = 227\/35 - 44\/7. Put -0.1, k, f, 4 in increasing order.\nAnswer: f, -0.1, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4656\/864 + (1 - 1) and -19\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((3 - (1 + (21 - 8))) + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(40\/(-12))*800\/(-150). What is the greatest common factor of 376 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1177.06 - -1191. Let y = 0.6 + 13.4. Let m = d - y. Is -1 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from togzmtoogzgmtggz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/94062568 and -91\/40.\nAnswer: 470312840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 7*i + 20 = 0. Let s = 4 + -4. Sort 5, i, s in ascending order.\nAnswer: s, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/9, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56156797 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 10. Let y be i(6). Let s = -25 + 25. What is the second derivative of 7*q + s*q + 0*q - 9*q**y wrt q?\nAnswer: -108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + j - 4, 10 = 52*r - 47*r + 4*j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w. Let s(o) = -1270*o**2 + 520*o - 2. What is s(a(q))?\nAnswer: -20320*q**2 + 2080*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 30 = 2*m + 2*i, -5*i = -10. Suppose -u = -6*u + m. Solve 15 + u = -5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1338*i**5 + i**4 + 1812*i.\nAnswer: 26760*i**3 + 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6633)\/42210 - (-2)\/(-10)\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/5))\/f)**44\/((f**(1\/5)*f)\/((f*f*f**(2\/7)*f)\/f))*(f**(-3)*f)\/(f*f**(-2\/3)*f)*f**(1\/4)\/(f*f*(((f*f*f**(3\/5)*f)\/f)\/f)\/f) assuming f is positive.\nAnswer: f**(5461\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 904239?\nAnswer: 1\/904239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27825*o**2 + 27665*o**2 - 83154*o**2 + 27670*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 133*d**5*k - 2*d*k - 8*d wrt d.\nAnswer: 2660*d**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 897535057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 26 = -4*m, -306616*d + 2*m - 22 = -306612*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - -3 - (232 + -242)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 1. Which is the nearest to i? (a) -3 (b) -4 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -46*y + 29*y. Suppose y*f = 0, -r - 4*f = -7*f - 2. Factor -1\/8*t**r + 3\/4*t - 9\/8.\nAnswer: -(t - 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3 - 1 + m + m - m**2. Suppose -2*h + 8 + 4 = -4*f, 3*f + 3 = 0. Give o(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6292000 to the nearest one hundred thousand.\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53 by 12.\nAnswer: 53\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.34 + 2.76. Let l = 3.4 - w. Let p = 26 + -26.09. Which is the third biggest value? (a) l (b) p (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (0 - (-4)\/(-4)*3). Let m be (w\/12)\/((-5)\/(-30)*-1). Let o be (1 + m\/(2 + 0))\/(-6). Are o and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 - 2684 = -207*p + 2855 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.23 - 0.07. Let c be (-2)\/7 - 62\/(-70). What is the second biggest value in k, c, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13172 and 148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1525 (b) 0 (c) 77 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-15)*(23 + 2). Suppose -3*v + 3*n = n - u, -3*v = n - 4. Solve -v*d + 1 = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*p**2 - 52*p**2 - 25*p**3)*(6*p + 0 - 2 + 2).\nAnswer: -150*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - f**2 + 21*f - 1. Let n be p(-5). Is 6\/(-4) + 196427\/14 + n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 38. Let h(w) = -3*w**2 - 5*w**2 + l*w**2. Let n(j) = -2*j**2 + 3*j - 3. Let q(u) = u**2 - u + 1. Let k(y) = -n(y) - 3*q(y). Determine k(h(s)).\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -9*n. Solve -3*p - 10 - 2 = n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 227 + -225. Calculate the remainder when d is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39926 is divided by 161?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -1060569 and -69.802476.\nAnswer: -1060638.802476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 54 = -6*y. What is the second smallest value in 0.5, y, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 2. Determine k(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**5\/120 + g**4\/48 + 8*g**2. Find m, given that y(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*u - 9, -3*u = -5*v + 42 - 9. Solve -3*i = -v*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22261096?\nAnswer: 2, 11, 13, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2256 = 4*u + 5*g, u + 4*g + 770 = 217. Let s = -259 - u. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68*g**2*o**2*s - 13*g*o*s - 4*o**2*s + 1 wrt g?\nAnswer: 136*o**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4255 (b) 2\/11 (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7469 and 79517108?\nAnswer: 556619756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 108 - 106. Suppose -c*s - s = -15, 4*t + 4*s + 4 = 0. Is 40 a factor of 54*((-4)\/t - 0) + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/3298 and -15\/4?\nAnswer: 6596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -12536*w**3 + 1225*w**2 - 8. Let q(g) = 8358*g**3 - 817*g**2 + 5. Let a(d) = 8*q(d) + 5*s(d). What is the third derivative of a(y) wrt y?\nAnswer: 25104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -1 (c) 1\/1840 (d) 0.0588\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14240 by 3560.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 672 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (32\/(-4) - -11) + 5 - -3. Solve -25 = -z*p + 6*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84954?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 a, and 1 x when three letters picked without replacement from xjxiajajiiiia?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 77886.8*0.07\nAnswer: 5452.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from ddwwwwwzwdwwzdd?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 358 - 1784\/5. Let l = -2.14 + 6.14. What is the nearest to 0 in -2\/9, l, m, 4\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 12*r - 8. Suppose 6*c = 2*c + 4*n + 288, 5*c + 2*n = 360. Calculate the remainder when c is divided by q(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -36. Let d = -15 - g. Does 2 divide (-2)\/((-4)\/(-3))*d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 - -93. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 14 = -2*i - 0*i, 0*v - v - 410*i + 411*i = -2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, y: 2, l: 1, t: 1, k: 1, w: 1}. Give prob of sequence tlwn.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -129, -141, -153?\n\"Answer: -12*w - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92.02 - 92. Which is the biggest value? (a) -6 (b) t (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, -2\/47, -0.4, -4?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 0*l - 8 + 3*l - 5*l. Suppose -191 = -2*r - 2*r + 5*m, 5*r - 205 = -5*m. Calculate the least common multiple of r and k(-14).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2819*o - 2235*o = -21608 for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - -15)*(1 - -7). Let b = 113 - y. Let a be (-1 - 0)*-1 - -2. Calculate the highest common factor of b and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 2 + 9*m**3 + 3*m + 0*m**3 + 10*m**2 - 9*m**3. Let k be (-20 + 299\/13)*-1. Let z(x) = 2*x**3 + 11*x**2 + 4*x - 3. Give k*z(a) + 4*u(a).\nAnswer: -2*a**3 + 7*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**4\/4 - 8*l**3\/3 - 9*l**2\/2 - 12*l - 11. What is the remainder when z(-7) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 m when three letters picked without replacement from {t: 1, w: 2, p: 4, m: 3, g: 1, c: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-3)\/(-2)*-4. Let d(i) = i**2 + 4*i - 2. Let q be d(h). Calculate the highest common factor of 50 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (19 - 5)\/2 + -4. What is the hundreds digit of 5 + (1089\/h)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(152))\/sqrt(8))**2 - ((sqrt(1216) + sqrt(1216) + 1 + sqrt(1216))**2 + sqrt(19) + sqrt(19)).\nAnswer: -10869 - 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - -13. What is the common denominator of 88\/(-108)*-3*p\/8 and -67\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.0701, 132.78 in increasing order.\nAnswer: -0.0701, 2, 132.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and (-16)\/2 + (-2 - -32).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 5*g - 36, -4*c - 72 = -4*g + 3*g. Let a = -13 - c. Sort a, 2, 0 in descending order.\nAnswer: a, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6007 - -6077. What is the remainder when 655 is divided by i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-2) - 1 - 292. List the prime factors of 2\/9 - a\/9.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*(0 + sqrt(243))**2 + -4.\nAnswer: -488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*sqrt(320) + -3*(sqrt(320)*-2)**2 + (-1*2*sqrt(80)*-1)**2.\nAnswer: -3520 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5.786 and 169642761.\nAnswer: 169642766.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1410014310 (base 5) to base 12.\nAnswer: 12544b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/3)*k\/(k**(2\/9)*k)*(k**(1\/3))**(3\/35) assuming k is positive.\nAnswer: k**(-271\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 - 8.3. Let t = 7\/62 + 151\/310. Which is the nearest to 3? (a) t (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*d**2 + 3 - 51*d**2 + 14*d**2)*(-4*d**2 + 2*d**2 + 4*d**2).\nAnswer: 6*d**4 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 164*z**2 - 3*z + 2. Let c(l) = -166*l**2 + 4*l - 2. Calculate 3*c(d) + 4*u(d).\nAnswer: 158*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t**3 - 26*t**2 - 461*t - 240. Let i be v(-7). Suppose y = 3*y - 4. Which is the closest to y? (a) 2 (b) 3 (c) 4 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2.96. Let w = -1.5 + 1.56. Let u = w + z. Which is the biggest value? (a) u (b) 9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 53 * -54251.\nAnswer: -2875303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -0*j. Suppose -4*b - 2*i = -b - 12, b - 4*i - 18 = j. Let n(m) = -m**3 + 5*m**2 + 6*m + 2. Give n(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 915550?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 20*b**2 - b - 2. What is l(2)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 0.4, -5, -21\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(3\/10))\/((h**(-1\/5)\/h)\/h))\/(h*h**(-2\/27)\/h*h**(-7)) assuming h is positive.\nAnswer: h**(571\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 344*l + 1. Let u be b(-1). Let o = 2405\/7 + u. Find c, given that o*c**2 + 2*c + 6\/7 = 0.\nAnswer: -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6486, 6494, 6506, 6522?\nAnswer: 6542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13 and 7?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 1050 = 39*y + s, 3*s + 110 = -3*y + 29 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2169 + -2178. Sort g, -4, -1 in ascending order.\nAnswer: g, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6136 + 6952. Calculate the remainder when u is divided by 317.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 79*i**2 + 0*i**3 + 2*i**3 + 1 + 4 - 1807*i**4 + 1883*i**4 in the form w*i + d*i**4 + q*i**2 + v*i**3 + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -8465\/47893 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4 = 1, -x + 5*m - 20 = 0. Suppose 0*t + 4*b = -5*t - 10, -x*t - 2*b = 0. Suppose -n = 3*j + 1, 0 = 4*n - t + 6. Solve j = -5*d - 8 - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) + -1)*-6)**2 - ((sqrt(3) - (sqrt(27))**2) + -4)) + 3.\nAnswer: -73*sqrt(3) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*d - 9. Let q(i) = -i**2 - 3*i - 1. Calculate q(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 8:20 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 308 = 2*d. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -38, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 1:52 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 250\/7 (b) -5 (c) -3 (d) -2\/9 (e) 7 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -22*m. Let h(b) = 4*b. Let d(x) = 4*x. Let p(j) = 3*d(j) - 4*h(j). Calculate v(p(t)).\nAnswer: 88*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 3*w - 32 + 65, -16*d - 2*w = -60 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l - 29. Let s be x(7). Let b be 2\/s*(-120)\/200. Which is smaller: 24 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88118*z + 220*z**3 - 88129*z + 176249*z.\nAnswer: 220*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 5*f - 4*f + 7, 4*f = -5*l + 11. Suppose 4*z - 11 = l*t - 432, 3*z - 456 = -3*t. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 10916661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 888564116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = -1455*i + 1473*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 808 and 226341.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206 + 204 = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 151981 and 23576?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*1 - sqrt(19) - sqrt(19) - (-6*(sqrt(19) + sqrt(38)\/sqrt(2)))**2) + -2 + ((sqrt(5472)*-5 + sqrt(5472))\/sqrt(2))**2*6.\nAnswer: sqrt(19) + 259918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5706 and 5706?\nAnswer: 5706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000327437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -343387730 divided by 141370?\nAnswer: -2429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -1\/3, 2, -3, 99.9, -0.07?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -27*q - 27*q - 24*q + 2 + 77*q. Give x(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5\/7 - 135*c**4\/7 + 520*c**3\/7 + 540*c**2\/7 - 2096*c\/7 = 0. Calculate c.\nAnswer: -2, 0, 2, 4, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 692.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*i - 39*i - 32*i to the form n*i + d and give n.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 16*f + 247 + 4*f + 7*f. Let b be r(0). What is the highest common factor of 26 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + p**2 - 4)*(2*p**2 - 4*p**2 + p**2) + 6*p**4 - 2*p**4 + 0*p**4 + 10*p**2 - 10*p**2 + 40*p**4 + p**2 - p**2 - p**4.\nAnswer: 42*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68174.0001 + 68162. Let z = 0.15 + 11.85. Let x = y + z. What is x rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -11 + -3 + 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, m: 2, x: 1, n: 1}. What is prob of sequence xwm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -354*a**2. Let w(v) be the first derivative of -v**2 - 517. What is d(w(c))?\nAnswer: -1416*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 581933570?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 346267?\nAnswer: -5\/346267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z**2 + 3*z**2 - 4*z**2)*(-27 - 42 + 69 + 376*z) to l*z**2 + c*z**3 + a*z + u and give c.\nAnswer: 752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/20 and -3 + (-62)\/36 + 2.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14890907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146716, -293475, -440210, -586909, -733560, -880151, -1026670, -1173105?\nAnswer: -1319444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19845467 and 268?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1916 is divided by 174.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*b + 6*b - 6*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 12*r = -16*r + 273, i = -3*r + 273. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 444*r - 91027 + 91026 + 112*r - 1 + 2*r + 1 + (3 + 0 + 0)*(2*r - 4 + 4) as k + y*r and give y.\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2\/5*w**5 - 122\/5*w**3 + 256\/5 + 448\/5*w + 20*w**2 - 32\/5*w**4 = 0.\nAnswer: -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 + 3*v**2 - 4*v + 2. Suppose -4*c = 4 - 12. Is t(c) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 1. Let r be n(4). Let a be 1 + r - (1 + 0). Suppose -a*m + 19 = -2*t - 0*m, -3*m = -t - 12. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(((-6270)\/20)\/11)\/(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**3 + 3*i - 3*i + (-5 + 2*i**2 + 5)*(4*i + 3*i - 5*i) + (-9 + 9 + 15*i)*(i**2 - i**2 - i**2).\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f + 2*f - 13*f. Let k(l) = 4*l - 4*l - l. Calculate 24*k(q) - 3*v(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59921723 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7)*c)**(-34) assuming c is positive.\nAnswer: c**204","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17057406 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5934.69 rounded to the nearest 10?\nAnswer: 5930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 47*c - 52*c - 25, -5*c - 5*w + 35 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**4\/12 - 2*k**3\/3 - 8*k**2. Calculate z(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -z**3 - 2502*z**2 + 3563*z - 11 wrt z.\nAnswer: -6*z - 5004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8121375 to the nearest integer?\nAnswer: 2850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**4\/8 + 49*u**3\/6 + 4*u**2 - 2*u - 24. What is o(22)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 34*m**3 + 5*m**2 - 3*m - 4. Let p be w(4). What is p rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2))**(2\/163)*(y**(1\/4))**48)\/(((y**7*y)\/(y\/(y**(2\/5)\/y)))\/(y\/(y*y**2)*y*y)**(-2\/37)) assuming y is positive.\nAnswer: y**(4544\/815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23575161 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48124698 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20323601?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 966 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.21 greater than or equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/5 (b) -1.1 (c) 1\/7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-8)*z)**(-36)*z*(z\/(z**(-5)*z)*z)\/z*z**(3\/7) assuming z is positive.\nAnswer: z**(1557\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1458 is divided by 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-1568)\/(-224) + (-1 - -3) and (-2)\/(-2) + (1 - -44)?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - 0. Let k(n) = -n**2 - 9*n - 6. Let u be k(w). Let d = 17 - u. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -813*i + 120 = -793*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.57 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1422 divided by 6.\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 25 = f, f - 25 + 40 = -0*f - 4*b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**6 + 8605*l**4 + 43284*l**2 wrt l?\nAnswer: -120*l**3 + 206520*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k + 0*k + 11 - 4*k)*(7 - 3 - 3) + 2*k - 3*k - k.\nAnswer: -k + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, 3, 20\/5451?\nAnswer: 20\/5451","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23612792.\nAnswer: 2, 7, 421657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 13*o - 30. Let m = 55 - 54.7. Sort -0.2, m, o in descending order.\nAnswer: o, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 less than -1\/261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2501 + 3215544?\nAnswer: 3213043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -9. Let q(k) = k + 15. Let m be q(f). Find the second derivative of 8 - 2*w + 3*w**4 - m wrt w.\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6609108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 103905 and 20880?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2507 != 5013\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d + 2690 = -19070. Let s = d + 701. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 - 2*k**2 + 2*k - 1. Calculate r(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/252 and 17\/77.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3))**29\/((m*(m\/(m\/m**10))\/m*m*m)\/(m*m\/(m\/(m**4\/m)))) assuming m is positive.\nAnswer: m**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 3. Let w be y(5). Let s = -4636\/5 - -928. Which is smaller: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2*d)*(256 - 204 + 419) in the form n + z*d and give z.\nAnswer: -942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*a = -9 - 3, 9 = 5*b + 2*a. Suppose -p + 3*p + j - b = 0, 0 = 5*j + 15. Suppose 2*z = 2, 22 = p*y + 3*z + 7. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120890\/(-3080) + 1\/24*6\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*h + 3064 = -630 + 94 for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**2\/5 + 6618*r\/5 + 108171 = 0 for r.\nAnswer: -2121, -85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15439 by -1.\nAnswer: 15439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28683954 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-3))\/((-8)\/(-372)). Let q = 46 + w. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.580961 months in millennia?\nAnswer: 0.00213174675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22979362?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47089178 or -376713413\/8?\nAnswer: -376713413\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*l. Suppose l = -5*u - 4*q + 69, 4*u - 37 = -q + 27. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286083741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*t, 2*t = 4*t + 4*s + 2. Let g(x) = 4*x + 13. Let w(q) = 6*q + 19. Suppose 120 = 3610*l - 3625*l. What is l*g(y) + t*w(y)?\nAnswer: -2*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 642 - 23159\/36. Calculate the common denominator of s and -85\/32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1043\/30 - -34\/15. Let s = j + 33. What is the third biggest value in 2, -6, s?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8994942 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17084*r**2 + 32340*r wrt r?\nAnswer: 34168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/21 - 408\/(-7). Let q = 91 + o. Suppose -v = -2*i - 148, 5*v + q = -5*i - 206. Round i to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*(-36)\/(-120)*35\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c**(2\/7)))**(-1\/10)*c**(-7)\/((c*c**2)\/c) assuming c is positive.\nAnswer: c**(-127\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 13*r**2 - 13*r + 17. Calculate l(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, -0.039201, -4, 7?\nAnswer: -0.039201","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2041 + 2045. Sort s, 35, 3\/5 in descending order.\nAnswer: 35, s, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2110112221 (base 3) to base 15.\nAnswer: -e597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 15*w**3 + 2*w**2 + w - 2. Let g = -19 + 20. What is the smallest common multiple of 20 and n(g)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 u, and 1 l when three letters picked without replacement from flufffelfj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 1 - (-17)\/(340\/3460). Solve 0 = -t*f + 187*f - 128 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 4\/3, 36, -2, 2\/7 in descending order.\nAnswer: 36, 4\/3, 2\/7, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 722610000 rounded to the nearest one million?\nAnswer: 723000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1070343, -4281265, -9632803, -17124957, -26757727, -38531113, -52445115?\nAnswer: -68499733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10101101111 (base 2) to base 6\nAnswer: 10235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 240, 470, 780, 1164, 1616, 2130?\nAnswer: 2700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2463242, 2463244, 2463246?\n\"Answer: 2*z + 2463240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 n when four letters picked without replacement from {e: 13, n: 5}.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -373 - -756. What is the remainder when z is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 12\/13, 5, -3\/68?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence niui when four letters picked without replacement from ieieeinniiiueiui.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 51 - 9 = 0. Suppose 0 = 5*x - 2*o - 6, 4*o = -5*x + 32 - 14. What is the remainder when t is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**3\/15 + 4*x\/5 - 15. Find c, given that u(c) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*r**5 - 157*r**4 - r**3 - r**2 + 328383*r.\nAnswer: 140*r**3 - 1884*r**2 - 6*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621 is divided by 47.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2037 is divided by 170.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -0.1572, 0.1, -0.5, 3\/7, 4 in ascending order.\nAnswer: -0.5, -0.1572, 0.1, 3\/7, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -730*m - 8716. Let a be z(-12). What is the highest common divisor of a and 1694?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 61*n + 394. Calculate the least common multiple of 24 and j(-6).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 32, -5\/2, 2, -6\/19, 0.5 in decreasing order.\nAnswer: 32, 2, 0.5, -6\/19, -0.4, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gigzgggggggzggi. What is prob of picking 1 z, 1 g, and 1 i?\nAnswer: 44\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -399.99998484 - -400. Round h to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -2 - 4) + 12 + -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 + 57.6. Let j = 7.17 + 3.23. Let u = b + j. Which is smaller: 2 or u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/5? (a) -1 (b) 4 (c) -42 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 22*a + 14 = 0. Let b(t) = 6*t**2. Let f(i) be the first derivative of 2*i**3\/3 - 1. Let w(q) = a*f(q) - 2*b(q). Let n(j) = -7*j**2. Give w(n(h)).\nAnswer: 98*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*j = -d - 16, 3*j = -2*d + 6. Let x(t) = t**3 - 9*t**2 + 0*t**2 - 4*t**2 + 7*t**2 - 3. Give x(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/392 and 19\/9079.\nAnswer: 508424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231 = -2*k + 221 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pspjgsjdgpsgddgpj. What is prob of picking 1 p and 1 g?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y**2\/2 - 23*y\/2 + 3 = 0.\nAnswer: 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -72a88 + -3?\nAnswer: -72a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*sqrt(196)*2)\/sqrt(7).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-878)\/294 - (-21)\/7. Let o be ((-1)\/5 - 1) + (-13)\/(-65). Which is smaller: v or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5 - 1. Let l(k) = -7*k - o*k**3 - 9*k**2 + 2*k**2 + 2*k**3 - 1. Let s be l(-6). Solve -5*g + 13 = 4*f, s*g = g + 4*f - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5655.416m to kilometers.\nAnswer: 5.655416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1011101000001?\nAnswer: 1011100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 - o - 9. Let q(p) = -3*p**2 + 2*p + 17. Let u(a) = 3*q(a) + 5*z(a). Let m be u(0). Differentiate -1 - m - 5*x**3 + 13*x**3 with respect to x.\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -9 - ((8 - 1) + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 5. Let d(a) = 3*a - 16. Let q(b) = -2*d(b) - 7*n(b). Let h be q(3). Solve h = -i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13374931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 7. Let h(u) = u**3 - u**2 + u - 1. Let z(l) = 31*l**3 - 19*l**2 - 16*l + 4. Let y(g) = t*h(g) - z(g). Solve y(m) = 0 for m.\nAnswer: -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 94*l**2 - 189*l + 202. Determine d(-96).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1239\/17 - 73. Put a, -1\/2, 2\/9, 0 in ascending order.\nAnswer: -1\/2, a, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 10:34 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(((-126)\/(-288))\/(-7))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1710 and 7902423.\nAnswer: 79024230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*b**3 - 1266 + 631 + 635 + 10*b**3.\nAnswer: -27*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*i + 125 + 237 - 20. Let j(a) = -2*a**3 + 20*a**2 - 14*a - 22. Calculate j(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 564, 1627, 3190, 5253, 7816?\nAnswer: 10879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/45 - 6\/20*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) 3 (c) 0.3 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 84.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -212 + 203. Let k(j) = j**3 + 11*j**2 + 17*j - 10. Let u be k(i). Suppose 3*f = 3*n - 15, 3*f = -2*n - 7 - 3. Sort -2, u, 2, f in increasing order.\nAnswer: f, -2, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(1\/6))\/b)**(-1\/41)\/(b**(-6)*b**6))**31 assuming b is positive.\nAnswer: b**(31\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(136) + sqrt(136)*-2))\/(sqrt(800)*3 - sqrt(8)))**2.\nAnswer: 272\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 279*k**2 - 1706*k + 1176. Calculate o(-285).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, h: 3, f: 3}. Give prob of sequence hppp.\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 862992113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -11759774\/9 at most as big as -1306643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 270.0193974?\nAnswer: 270.4193974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-1)\/20 + 70\/120\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -1\/90*t**5 + 0 - t - 1\/9*t**3 + 1\/18*t**4 + 1\/9*t**2. Factor w(o).\nAnswer: -2*(o - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -7*t**3\/6 + 4*t**2 - 2*t. Let j(g) = -g + 1. Give h(m) - 6*j(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -8. Suppose z = 3*m - 7. Put -3, -4, m in descending order.\nAnswer: m, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*k**2 - 2*k**5 - 5*k**5 - 2*k**5 + 0*k**5 wrt k?\nAnswer: -540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n - 53. Determine b(6).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280 and 5138?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*m - 4. Suppose 11 = -5*p + 31. Solve 3*h = j + p*h - 9, -m*j = -3*h + 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 133 = 178 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276*h + 285*h = 189. Suppose 4*q - 125 = 4*l + l, l = 2*q - 61. Solve 3*m - q = 5*j - 0*m, -3*m + h = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 841 is divided by 75.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 139232?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 730*z - 247*z - 250*z - 242*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -16460 (base 10) in base 3?\nAnswer: -211120122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2 (b) 0 (c) -5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 - -3 - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -80\/3. Let t = q + 22\/9. Let a = 6 + -5. Which is greater: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 1 + 3)*(0 + 3 - 1) + 0 + 2 - 4)*(-94*y**2 + 18*y**2 - 82*y**2).\nAnswer: 632*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1680 and 224?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*x, -2*o + 4*o + 13 = -5*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of o**2 - o**2 + 5 - 405*o**4 + 399*o**4 wrt o.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = 18*o + 210. Let u be (108\/o)\/(0 - (-3)\/(-28)). Suppose -19*y + u*y - 25 = 0. Solve 0 = v - 5*q, 0*v - q + 24 = -y*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11887*i = -23703*i + 11688*i + 2048 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-321)\/54 + -2 - -3 and 107\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gaga when four letters picked without replacement from mgaemgalmgmalemlm.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 13*w**3 - 2*w**2 - w. Let k be g(-1). What is the common denominator of -137\/18 and (k\/20)\/((-3)\/39)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2 + (-1 - 2 + 11)*(-2 - 3 + 6))*(l + 0*l + l).\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -7*i - 20. Suppose 2*b - 120 = -2*z, 148 = i*b - b - 5*z. Solve -2*d + 4*y + 30 = 0, -5*y = -4*d + b - 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10209.88 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -4. Suppose z*i + 0 - 12 = 0. Suppose 32 + 26 = i*r + 2*y, 4*r - 89 = -5*y. Calculate the greatest common divisor of r and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -29, 7, 67, 151, 259, 391, 547?\n\"Answer: 12*b**2 - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -12.2, 22\/3, -0.1532?\nAnswer: -12.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 0*u**6 + 0*u**7 - 1\/12*u**5 + 8*u**2 + 0*u**4 + 0*u**3 + 0 + 0*u - 3\/112*u**8. What is the third derivative of y(v) wrt v?\nAnswer: -540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 141, -4, -3, -2681 in descending order.\nAnswer: 141, -3, -4, -2681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmggeqeee. Give prob of picking 1 e and 2 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77 (base 11) to base 4.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-166 + 168)*2\/24)\/(1\/9). Let g = 3.2 + -3. Which is the nearest to 0? (a) g (b) t (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from {p: 5, l: 2, e: 1, j: 1, y: 2, i: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*j = 214*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1114171.6449 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 6 + 37 = -4*u, -3*i + 1 = -4*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 1680.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1221 - 12?\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 9701?\nAnswer: -9701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 226 (b) -4 (c) -2\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*t - t, 4*v + 1686 = -2*t. Let n = 777 + v. List the prime factors of n.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15236 = 18*i - 3094 + 2688. What is the greatest common divisor of i and 237?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 - 4*w**5 + 3*w**5 + (5*w**2 - 3*w**2 - 4*w**2)*(w**3 - 2*w**2 + 2*w**2) + 0*w + 0*w - 2*w**5 - 19*w**4 + 4*w**4 - 551*w**5 + 527*w**5.\nAnswer: -27*w**5 - 15*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**3 - 2*j**2 + 2. Let v(p) = p**3 - 10*p**2 - 5*p + 18. Determine 6*m(o) - v(o).\nAnswer: -19*o**3 - 2*o**2 + 5*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 12, -43045?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278349 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131.\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**8\/224 + v**7\/42 - v**6\/40 - 3*v**5\/10 - 29*v**4\/48 - v**3\/2 - 3*v**2 + 3*v. Determine u, given that h(u) = 0.\nAnswer: -3, -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013955207 rounded to five decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-2)\/(-49) + 25134948\/(-1476468) + 17?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 119, -2, 8, 1 in ascending order.\nAnswer: -3, -2, 1, 8, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/3)*w**2*w**2\/(w**(-2\/11)\/w*w*w) assuming w is positive.\nAnswer: w**(94\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.83 - 0.17. Let g = -34.18 - -34.58. What is the third smallest value in 1\/3, g, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86*b + 214*b + 128*b to i + m*b and give m.\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 7. Suppose 3*j - w*j - 16 = 0, -j + 3671 = 3*z. Let m be (24\/15)\/(14\/z). Round m to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67310 and 84360?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -78\/17? (a) 2\/3 (b) 3 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from zqqqqqqqqzq?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + sqrt(176) + -1 + sqrt(176) + sqrt(176) + -1.\nAnswer: -4 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-55366)\/855)\/47*9)\/(2\/5)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6154 is divided by 3061?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46281102?\nAnswer: 2, 3, 7, 1101931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5153 + -3364. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27)\/((-3)\/(27\/(-3))). List the prime factors of s*(-4)\/(-24)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9086747 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3037150704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1954 is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*s + 4*t = -14, 5*s + 4*t = 22. Suppose 0 = c + 2*c - s. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + 3*i)*(-7*i**2 + 9*i**2 + 9*i**2) + 2 - 2*i**3 + 0 + i**3 in the form p*i**3 + w + d*i + r*i**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 1:05 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 5, -3, -2, -4, -0.044 in increasing order.\nAnswer: -4, -3, -2, -0.1, -0.044, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 248\/645 - -2\/129. Which is the third smallest value? (a) -0.1 (b) 2\/11 (c) l (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 0*j**4 - 2*j**5 + 0*j**2 - 5\/6*j**6 + 0*j - 56\/3*j**3 - 32. What is the third derivative of g(f) wrt f?\nAnswer: -300*f**2 - 240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1209 = -2*n - n. Let j be (-359)\/5 - (-13)\/(-65). Let w = j - n. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c - 37*c - 105*c - c**3.\nAnswer: -c**3 - 158*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-35712)\/(-16) + (1 - 6) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2. Let x(c) be the first derivative of 0*c**2 + 3 + 2\/3*c**3 + 0*c. Give x(u(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -572, -593, -614, -635?\nAnswer: -656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1669.\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 - 3*z**2 + 0*z**2 + (-6*z**2 + 0*z**2 + 4*z**2)*(5 - 5 + 7) + z**2 - z**2 - z**2 to n*z**2 + w*z + a and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p. Let s(o) = -4*o. Let y(t) = 9*t. Let n be (-8)\/(-20)*105\/6. Suppose 12 = 5*d - d. Let r(q) = d*y(q) + n*s(q). Determine r(x(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(sqrt(7)*3) + (sqrt(17) - (sqrt(17) + -3 + sqrt(17))) + 0)**2.\nAnswer: -4*sqrt(17) + 149\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from kckkzkckcptkkzcc?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 1 - 0) + (-3 - -4) + -11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3.06, -6, 2, -2, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -10*b**3 - 2*b**2 + 3*b + 4. Let t be l(-1). Let h(s) = 8*s - 23. Let z be h(t). Suppose 0 = z*j - 54*j + 230. List the prime factors of j.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v + 35. Let t be u(-16). Suppose -4*r + t*r + 2052 = 5*f, r + 2058 = 5*f. Is f\/9 - (-4)\/(-6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i - 62 = 10 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1359658.\nAnswer: 2, 679829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 15. Let c(q) = -3*q + 46. Let s(a) = 4*c(a) - 11*u(a). Let z(b) = -2*b. What is s(z(m))?\nAnswer: 2*m + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301863*q**2 - 301865*q**2 + 603725*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*y**3 + y**2 - 5*y**3 - y**2.\nAnswer: 118*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from yhkh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 2\/3, -3.7, -6657 in decreasing order.\nAnswer: 2\/3, -3.7, -4, -5, -6657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 100543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 174 = -3*z, 2*o = 4*z - 277 + 59. Let j = 20 - 15. What is the remainder when z is divided by -2 + j\/(10\/42)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10930 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/11 in -3, -5, 37?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + r - 2. Let j(y) = 3*y**2 - 2*y + 135. Determine -j(z) - 2*s(z).\nAnswer: -z**2 - 131","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.17, -2, 55, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17\/2, -2\/9, 0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-2) + 28 + 5828\/(-279). Sort d, 4\/9, -4, -3, -0.051 in decreasing order.\nAnswer: 4\/9, d, -0.051, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**3 + 3*i**2 - 7*i + 42. Let s(k) = -2*k**3 + 2*k**2 - 5*k + 28. Let d(a) = a**2 - 150*a - 6044. Let y be d(-33). Calculate y*j(c) + 7*s(c).\nAnswer: c**3 - c**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**7\/105 - 7*l**6\/60 - 17*l**5\/30 - 17*l**4\/12 - 2*l**3 + 42*l**2. Factor h(v).\nAnswer: -2*(v + 1)**2*(v + 2)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*l + 53*l - 14630 = 344*l for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**9\/126 - j**6\/60 + 6*j**5\/5 + j**2 - 13. What is the third derivative of r(k) wrt k?\nAnswer: 480*k**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 3*y - 14, -2*f - y - 2 = 3*f. What is the smallest common multiple of 1 and 99\/9*(f + 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*k = -87*k - 78. What is the remainder when 855 is divided by k?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**7\/70 + 8*s**6\/5 - 117*s**5\/2 + 700*s**4 - 6125*s**3\/2 + 3488*s. Factor a(u).\nAnswer: -3*u*(u - 35)**2*(u - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 517\/82 (c) 11 (d) 3\/4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 671233 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (14 + -5 - 5)) + (1 - 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o\/(o*(o**(-1\/5)*o)\/o)*o)*o\/o**39*o)\/(o**0)**(-3\/32))**(-12\/5) assuming o is positive.\nAnswer: o**(2292\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -51, -53, -55, -57, -59?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-33 - -9 - -110) - (-1 - (-5 - 0))?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546523.\nAnswer: 546523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/5110084 and -27\/392?\nAnswer: 71541176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/8500 and -9\/2395300.\nAnswer: 11976500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen fifths of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20731.79l in millilitres?\nAnswer: 20731790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 94672 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-4)*c)*c)\/(c**(-4\/9)*c))\/(c**2)**(1\/73) assuming c is positive.\nAnswer: c**(-3011\/657)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4710 divided by -157.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21104\/3 - -6967. Let s = o - -67. Let t = 1 - 1.5. Which is the nearest to -1? (a) s (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -3 - (16 + -10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195227, -390365, -585495, -780617, -975731?\nAnswer: -1170837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3802 + -3802. Let r(x) be the second derivative of 1\/12*x**4 - 6*x + v + 3*x**2 - x**3. Calculate r(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nknkinnkkkavnnnnak. What is prob of sequence ka?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2060 and 606670?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7623300 is divided by 12139?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.4 - 29. Let q = 5.8 - 5.178. Let g = h + q. What is g rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -8*r - 22. Let t(w) = -9*w - 19. Give -3*t(h) + 2*y(h).\nAnswer: 11*h + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -128 - -102. Let h be a\/(-8) - (-51)\/(-204). Solve -h*k = 5*g + 1, 2*g = 3*g - k - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -214*k**2*s**3 - 115*k**2*s + 93082*k*s**3 - k wrt k.\nAnswer: -428*s**3 - 230*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 3698*j + 684498. Let k(a) = a**2 + 11093*a + 2053493. Let c(t) = 2*k(t) - 7*z(t). Factor c(p).\nAnswer: -5*(p + 370)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2906813?\nAnswer: 7, 13, 17, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -48, -85, -130?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 3*f**2 - 6*f - 6. Let v be y(-2). Let k = -10 - v. Solve 4*q + 3 = -2*l - 1, -q - 19 = -k*l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 284026880.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1865, -1867, -1871, -1877, -1885?\nAnswer: -1895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -62 + 16. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (28 - 325)*(-5 - 0) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122123 - -1010?\nAnswer: -121113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 2*8\/(16\/49).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -179*j - 4857. Determine b(-27).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.428966 decades?\nAnswer: 1131.47592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1425601768 divided by -19?\nAnswer: 75031672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32165008 is divided by 8041245?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/(33\/6) - (-1 + 0). Let y(v) = -p*v + 13*v - 3*v. What is y(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*x - 666, -4*x + 2*n + 660 = -2*x. Calculate the highest common divisor of 784 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 262017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 131276 - 3?\nAnswer: 131273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121121220210 (base 3) in base 2?\nAnswer: 11010001101001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-39)\/(-15) - 8\/(-20) - -206 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**3 - 232*v**2 + 748*v + 976 = 0. Calculate v.\nAnswer: -61, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 397 + 122 = -d, -t + d + 103 = 0. Let n = t - 100. Suppose 4*p - 776 = -4*l, n*l + 0*p = -2*p + 778. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l. Let f(q) = -13*q**2 + 7*q + 7. Let x(i) = -i**2 + i + 1. Let z(w) = 6*f(w) - 42*x(w). Calculate c(z(t)).\nAnswer: -72*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d + 271 - 1720. Let y(f) = f - 161 + d. Let x(m) = -4*m. Determine x(y(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 = 1. Solve k*u - 1 = -6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21858, -21777, -21650, -21483, -21282, -21053, -20802, -20535?\n\"Answer: -l**3 + 29*l**2 + l - 21887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 630 and 14370.\nAnswer: 301770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -7. Let w(a) = a**2 + 26*a + 52. Let q be w(-24). Suppose 4*j - 22 = s*h, q*j + 4*h - 22 = 2*j. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -405*u + 1761 + 1770 - 3531 to p*u + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpcwcmr. Give prob of sequence crm.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156\/(-182)*112\/(-12) + 24.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14726401 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 4) to base 2.\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100 - -100. Solve -2*w + 4*d - 16 = u, -3*w + 2 = -7*w + 2*d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -326*q - 24. Let j(s) = 1630*s + 131. Calculate -4*j(l) - 22*v(l).\nAnswer: 652*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10551 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -330385\/39384 - 1\/13128. Let y = 252 + -82. Calculate the common denominator of j and 9\/54*y\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1694 - 849 - 20*m - 843.\nAnswer: -20*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.84 and -20?\nAnswer: -156.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 406012118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4 = 0, -2*r = -2*t + 2*r - 2. Let w(g) be the first derivative of g**3\/3 - 7*g**2\/2 + 3*g + 8. Give w(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43226683 is divided by 32897.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 249*k**3 - 2*k**2 + 2*k - 253*k**3 - 2*k as m*k**3 + h*k**2 + p + t*k and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5582 is divided by 50?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -523, 1\/7, -0.5?\nAnswer: -523","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0126875 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.35*-14.62\nAnswer: 5.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 3 (c) 1805 (d) 4 (e) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81 + (-75 - -76) - (23 - 0)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51076614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(1\/3)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.08 and 13212.\nAnswer: 13212.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4) + (-3)\/(-6). Suppose 2*j - 37 - 27 = u. What is the greatest common divisor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4 - 30*g**3 + 39*g**2 + 66*g.\nAnswer: -3*g*(g - 2)*(g + 1)*(g + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/8903 and -41\/30537.\nAnswer: 9374859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3 - 18762*c**2 - 225360*c - 676296 = 0. What is c?\nAnswer: -6, 9393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 3:11 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7603482 and 6?\nAnswer: 7603482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 3. Suppose 0 = d*c - 0*c - 4. Let q be 5\/4 - (-8)\/(-32). Solve c*u + 1 + q = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118666196 to the power of 1\/2, to the nearest integer?\nAnswer: 10893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 5*h = -2*o + 13, 0 = -o + 2*h + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (513 + 0*s + 4929 - 2*s + 3036)*(0*s + 4*s - 2*s) + 5*s**2 - 6*s**2 - s**2.\nAnswer: -6*s**2 + 16956*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 23*n - 11. Let f be v(9). Suppose f = 15*i - 23. Solve 0 = 7*w - 3*w - 4*t - i, 5*w = -2*t + 18 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Suppose 4*i = w*x + 86 - 4, -3*x = -3*i + 69. What is the lowest common multiple of i and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 * -283907\nAnswer: 5110326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6245.8947 nanoseconds to hours.\nAnswer: 0.00000000173497075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 8*y - 12. Let q be -122*3\/(-54) + 12\/54. Let a be t(q). Let j = -164\/3 - -54. Is j at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y - 9*y + 4*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6454458000 rounded to the nearest one million?\nAnswer: 6454000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 2*s**6\/3 + 4*s**5 - 23*s**4\/4 + 2*s**3 + 246. Find j, given that x(j) = 0.\nAnswer: -6, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2115*f + 340*f - 254*f)*(2*f**2 - 2*f + 2*f) + (-2*f**3 - 1 + 1)*(-3 + 8 + 4) as t*f**2 + g*f + z*f**3 + v and give z.\nAnswer: -4076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2928 + -3.2928. Let s(l) = -3*l**3 + l**2. Let m be s(-1). Suppose -16 = -4*v - m. Which is the nearest to 5? (a) o (b) v (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 966856 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77 - 125 + 73)*(-h**4 + 0*h**4 + 3*h**4).\nAnswer: 50*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -284.8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 24 = -3*u. Let f be (3 + (-15)\/6)*u. Let v = f + 15. What is the highest common factor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((2*sqrt(224) + sqrt(224))*6)\/(sqrt(8)*-2 + (sqrt(2) - (sqrt(18)*-4 - sqrt(2)))))**2.\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38.2 - 29. Let r = 10 - c. Let z be -2 + 6\/27 + 2. Put r, -5, z in increasing order.\nAnswer: -5, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 28964, -5, -42.82?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -1. Suppose -3*r - 273 = 3*g, 3*g + 285 = -r - 4*r. Put x, 5, 1, g in increasing order.\nAnswer: g, x, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 399 + -165. Is n a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1217 - 645. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/27 (b) -10\/77 (c) -355\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*c**2 + 28*c**2 + 10*c**3 - 9*c**3 wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 7 = 3*q, 126*s - 16 = 132*s + 5*q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 96072232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 + -30. Let j(s) = 24*s**3 - 2*s**2 - 2*s + 3. Let x be j(1). Let g = x - c. Is -3\/7 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19368 = -11*y + 29*y. Let x = y - -2023. List the prime factors of x.\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**10*i*i)\/(i*i**(2\/25)\/i*i*i))**(-11))**(10\/7) assuming i is positive.\nAnswer: i**(-858\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 324 = -4*y. Let h = -61 + y. Is -3 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-672))\/(6\/(-273))\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*i**5 + 330*i**2 - 72*i - 7*i**3 + 116*i**5 + 13*i**3 + 39*i**3 - 330*i**4 = 0. Calculate i.\nAnswer: -1, 0, 2\/9, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(24)*2)\/sqrt(6) - sqrt(48)\/(sqrt(12) + sqrt(36)\/sqrt(3)))\/((-2*sqrt(3456))\/sqrt(12))*2)**2.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -18*q**2 + 134*q - 10. What is the remainder when a(7) is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(57) + (sqrt(57) - 1*sqrt(228)))\/(sqrt(12)\/sqrt(4)*2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 g when two letters picked without replacement from {h: 12, p: 4, g: 4}.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 19 - 34 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*g - 5*r - 95, 0 = -g + 2*r - 39. Suppose 3*b + 63 = 6*b. Let x = b - g. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.56 - 163.56. Let g = r + 157. What is the nearest to 2 in 1\/7, 1, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -961 by 2.\nAnswer: -961\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -111111101211?\nAnswer: -111111101201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 459 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 11*o - 28. Let y be d(-5). Suppose q - 109 = -2*h + 101, 4*q = y*h - 210. What are the prime factors of h?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i**3 + 6*i**3 - 2*i**3)*(-2*i + 3*i - 6*i)*(2*i - 5*i + 2*i).\nAnswer: 10*i**5 + 10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - o**2. Let i(k) = 12*k**3 + 5*k**2 + 4*k. Let b(c) = i(c) + 5*v(c). Let d = -121 - -125. Let z(m) = -15*m**3 - 9*m. Calculate d*z(x) + 9*b(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3849?\nAnswer: 3, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/121 and 31\/28180306.\nAnswer: 309983366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-12) + (-8160)\/36. Let s = 457\/2 + p. Factor 1\/2*g**2 - s*g + 0.\nAnswer: g*(g - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4.5, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -6*g + 2*m - 6, -g - m - 4 = 0. Sort 2, 5, g in increasing order.\nAnswer: g, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 2500*v**4\/3 - v**3\/6 + 7*v**2\/2 - v. Let b = 10 + -3. Let i be z(b). What is i rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4*4\/(-20)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 0.06 (c) -0.04 (d) 1 (e) 127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -161435 (base 8) to base 3.\nAnswer: -2221202101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.6 + 0.4. Let k = i + -5. Let l = 11\/36 + 4\/9. Which is the nearest to k? (a) 2 (b) -1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 7:45 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 13*o - 121. Let j be l(-16). Let d = j + 332. Let g = 0 + 0. Solve g = -2*n + 5*n + d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*o = 7 - 3, 4*o = -5*f + 2. Suppose 9*a + 248 = 75*a - 4*a. Solve a*m - 2*m + 20 = -4*y, -5*y = f*m + 24 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 252 and -895007980?\nAnswer: 895008232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-2)*(86 - 88). Let s(x) = x - 3. Let f be s(0). Let a = f + r. Solve -q = -a - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-three fifths of a microgram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-13 - ((15 - 5) + -42))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 3:23 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2893 + 2950. What is the remainder when 155 is divided by v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95141\/3 - 31713. What is the closest to 2\/11 in -34, 0.5, -4, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73\/3 - 24. Let i = 0.1 - 0.6. What is the closest to -1\/5 in i, 2\/11, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -38\/3*r**4 + 89\/70*r**7 - 221*r**2 + 0*r + 0*r**6 + 0*r**3 + 0*r**5 + 0. Find the second derivative of l(j) wrt j.\nAnswer: 3204*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*g**6 - 141080*g**5 - 3*g**2 - 2628009*g?\nAnswer: -4800*g**3 - 8464800*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 66.176134 * 2\nAnswer: 132.352268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((-2 + sqrt(833))*-5 - ((sqrt(833) - (sqrt(833) + 2 + -1)) + sqrt(833)))**2)*6.\nAnswer: -5544*sqrt(17) + 180666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51 - (-3 - 22)) + (60 - 28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1596 = -3*y + 4*u, y - 349 = -3*u + 196. List the prime factors of y.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/3)\/((-5)\/3). Sort -0.15, t, 0.1 in decreasing order.\nAnswer: 0.1, -0.15, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3557 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4 - 178*o**3 + 1926*o**2 + 56754*o + 54648 = 0. Calculate o.\nAnswer: -12, -1, 33, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 4, -4, -42 in descending order.\nAnswer: 5, 4, -2, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5\/3 - 1647*o**4 - 6076048*o**3\/3 + 22571236*o**2 + 343609376*o\/3 + 122611520 = 0. What is o?\nAnswer: -2476, -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*c**2 - 10*c - 24*c**2 - 74*c**2.\nAnswer: -203*c**2 - 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(128) + 0) + -5 - (2*(sqrt(128) - (1 + sqrt(128))) + -4*(1 + sqrt(128)) + sqrt(128))**2.\nAnswer: -1193 - 320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l**2 - 4*l**2 - 3*l**2)*(-5 + 0 + 4) - 3*l + 3*l - 5*l**2 in the form a + q*l**2 + c*l and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 285*w - 322*w + 148. Let h(a) be the third derivative of 5\/6*a**3 + 1\/120*a**6 + 0 + 5\/24*a**w + 0*a - 5*a**2 + 1\/12*a**5. What is h(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011001101010 (base 2) in base 11?\nAnswer: -4347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*p + 4*m, 9 + 8 = 4*p + m. Suppose -58 = -y + p*b, 3*b - 2*b = y - 62. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsbs when four letters picked without replacement from {b: 4, s: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 845139588?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -0.2, 7719, -6\/11, -4, -14, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 519, 523, 529, 537, 547, 559, 573?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -2\/2127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bgr when three letters picked without replacement from rgggggrrbggggbgrbbg.\nAnswer: 88\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - 29. Calculate the lowest common multiple of 12 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/10)\/(-4)*(-660)\/(-44)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5436 + 0.5436. Suppose 4*n - 5*i + 0*i + 272 = 0, -i - 311 = 5*n. What is the closest to w in n, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 525 + 346. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 4:04 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3567 = -401*h - 5455 - 4211 for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*q - 9, 0 = 2*q + 3*q + 4*p + 27. Let w(n) be the third derivative of n**5\/20 - n**4\/24 + 2*n**3\/3 - 2*n**2. Is w(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28339882?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*s - 2*s + 2*f, 3*s + 5*f = -12. Let w(m) = 6*m**2 - m. Let p be w(s). Suppose 4*u = p*x + 603, -792 + 17 = -5*u + 2*x. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(325) - 3*-2*sqrt(13).\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nva when three letters picked without replacement from aagaavvjaawvwanvvavv?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -276 - -258.2. What is d rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*z - 243, -5*t + 148 = -3*z - 99. Suppose 0 = 42*j + t - 551. Solve -5*h - k + 1 = 9, 4*h - 2*k + j = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 612281 * 5\nAnswer: 3061405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 943 + -941. Let m = -5 + 8. Solve a = -h + m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6940770, -13881513, -20822256, -27762999, -34703742?\nAnswer: -41644485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 9. Find the second derivative of 8*y - t*y + 5*y**3 - 6*y wrt y.\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42649\/31 + -1376. Let g be -3 - (-345)\/155 - (-4)\/10. Let b = x + g. Which is bigger: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 84*d**2 - 1312*d + 3072.\nAnswer: 4*(d - 8)*(d - 3)*(d + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28984211 is divided by 292?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 5, 26, 67, 134?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 + 0.1. Let u = 12.3 + 2.7. Let c = -15 + u. Which is smaller: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35261\/2 or 17630?\nAnswer: 35261\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -142566900*s**4 - 36661460*s**3 + 2443644*s**2 + 814692*s + 8 = 0. Calculate s.\nAnswer: -1\/5, -2\/203667, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12280*o - 24563*o = 39*y - 12286*o - 180, 2*o + 1 = 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116 - 241. What is the second biggest value in q, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 < 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*sqrt(171))**2 + -5 + ((sqrt(1900) + -4)**2 - (sqrt(608) - sqrt(38))\/sqrt(2)).\nAnswer: -47*sqrt(19) + 3454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(4\/(-1)))\/((-67)\/402)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - k + 4. Let x be l(-3). Let f = x + 6. Put 0, 3, f in ascending order.\nAnswer: 0, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/6*((-44)\/8 + 1). Sort m, 6, 2.\nAnswer: m, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 84 = -114, -6 = -2*f - b for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2\/9*k + 2\/9*k**3 + 0*k**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**3\/2 + 5*j**2\/2 - j. Let y = -57544 + 57541. Give g(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -5.6, 2\/97, 237\/107?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -5, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x. Suppose 0 = 4*g - 13 + 73. Let b(j) = j**2 + 2*j + 2. Let y(s) = -6*s**2 - 15*s - 15. Let n(f) = g*b(f) - 2*y(f). Calculate n(q(w)).\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -31. What is the nearest to u in -11, -2\/5, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 4. Let t = -8 + 12. Let b be s(t). Factor -u**4 + 2*u**3 + b*u**3 - u**4.\nAnswer: -2*u**3*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, k: 2, w: 1, t: 2, c: 8}. What is prob of picking 1 i, 2 t, and 1 k?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5185*g*n**6 + 39017*g*n**3 + 5*g*n**2 + 3459593*g*n - 2*g + 2*n + 1 wrt n?\nAnswer: 622200*g*n**3 + 234102*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 15 = -3*a, -2*t - 15 = -28*a + 25*a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146722 - 30937 = -5*f. Let u = -2152 - 5005. Let x = u - f. What is x rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251 (base 6) in base 2?\nAnswer: 100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -8. Let j = -6 - -11. Suppose m = -j*p - 75 + 310. What are the prime factors of p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (63532\/2310 - 20) + (0 - (-4)\/30).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/d)\/(d*d**(-11)\/d) assuming d is positive.\nAnswer: d**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/17 (b) -2 (c) -3\/5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + c. Let t(j) = -30*j + 155. Let f be t(5). Suppose -f*h + a = -20, 5*a + 14 = -3*h - 2. Calculate q(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**4 + 3*p**4 - 3*p**4)*((0 - 5 + 4)*(-1 - 2 - 2) + (-2 + 3 + 1)*(0 - 2 + 0)).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/6)\/12*0)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 3407\nAnswer: -17035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a micrometer in nanometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ksn when three letters picked without replacement from zsnllnlpnnnk.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-134)\/(-3) - 9\/(-3). Let d = l - 49. Is 0 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 9*h**2 + 3*h + 4. Suppose 2*m = -8 - 0. What are the prime factors of j(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 16*d**2 - 4*d**2 + 4 - 7*d**2 + d - 4*d**2. Let t be z(17). Suppose 0 = 7*s - 873 - t. Is 41 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 139342 and 222?\nAnswer: 418026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8822 and 1152162.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -211*p**8\/84 + 211*p**4\/6 - 2428*p**2. What is the second derivative of a(o) wrt o?\nAnswer: -16880*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 32200.4 milligrams?\nAnswer: 0.0322004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1900) + 1 + (sqrt(1900) + -3)**2)*-2*3.\nAnswer: -68760 + 1800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2103*t + 16694 = 2587*t + 1206 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -0*n - 4*n - 1312, -5*n = -m + 1628. Let l be (4\/(-5))\/((-26)\/n). Let g be 7\/5 - (-4)\/l. Put g, 3, -5 in increasing order.\nAnswer: -5, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -4*f - h - 15, 5*h = 20. Let a(y) = 5*y**2 + 42*y - 114. Is a(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -297, -959, -1621?\nAnswer: -2283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -353015 or -353017?\nAnswer: -353017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n - 1. Let m be r(-1). Let x be (1\/(-2))\/(2 - (-145)\/(-72)). Let f be (-6)\/x - 5\/(-6). What is the third smallest value in 3\/2, m, f?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1251 is divided by 180?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4870519882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27893758639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2832810359?\nAnswer: 6421, 441179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 132\/3997?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 4*l + 16 = 0, 377*m - 375*m = -3*l - 17 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-12) - ((-50)\/(-15) - 3). Calculate the smallest common multiple of ((-40)\/(-84)*18)\/(j\/(-21)) and 4.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, e: 1}. Give prob of picking 2 p.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34*10\/(-270)*-9 + -10.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, a: 1, n: 3, k: 2}. Give prob of picking 1 f, 1 n, and 1 k.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(209) - (-1*sqrt(209) + sqrt(209)) - sqrt(209)))\/(sqrt(1100)*2 + sqrt(1100) - sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 + 62. Let x be 32\/12*6\/a. Suppose -7 = -3*y + s, x*s = 3*y - 0*s - 5. Round y to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/(-4)*(-192)\/(-176). Suppose 8*b - s = 5*b. Solve g = -4*m - 23, -5*m + 3*g + b*g = 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127 - 126.975. Let r = 0.025587 - j. Round r to five dps.\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l**2 - 2*l**2 + l**2)*(-6*l**2 - 50 + 15287*l - 15297*l - 6*l**2) in the form d*l**4 + a*l**3 + q*l**2 + y*l + t and give q.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -492 + 478. Put g, -13, -3 in descending order.\nAnswer: -3, -13, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1492, 1545, 1602, 1663, 1728?\n\"Answer: 2*b**2 + 47*b + 1443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 28*q + 4. Let n be f(3). Suppose 0 = g - c - n, 5*g + 7*c - 480 = 4*c. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**4\/11 - 342082*o**3\/11 - 2052420*o**2\/11 = 0.\nAnswer: -171035, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 888 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 49*r**3 + 2. Suppose 2 = 2*i + 2*o, 2*i + 2*i = 4*o - 20. Let x be y(i). What is x rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.314 + -31.314. Put -5, -0.2, 0.03, l, -4 in decreasing order.\nAnswer: 0.03, -0.2, -4, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2653 + 6403. What is p rounded to the nearest one hundred?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94 - 94.4. Let c be 5\/95*1*-2. Put -5\/4, c, o in increasing order.\nAnswer: -5\/4, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaammempaaape. Give prob of picking 1 m, 1 a, and 1 p.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.8 and -410.28?\nAnswer: -1148.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30533?\nAnswer: 19, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4903023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 6, -2\/37, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 1383940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**3 + 3*f**3 + f**3 + (-f**2 + 2*f**2 + f**2)*(-f + 2*f + f) + 0*f**3 + 0*f**3 - 4*f**3 + (110*f**2 - 412 + 412)*(-1 + 1 - 2*f).\nAnswer: -219*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 8*f + 13. Let i be y(9). Suppose 0*x - i*x = -81200000. What is x rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 3*d + 21. Let m = 20 - 20. Let v be y(m). Let f be 84\/v - -1*1. Solve 0*z + f*z - 10 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25038, -100142, -225316, -400560, -625874?\nAnswer: -901258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 9800986, 5.\nAnswer: -4, 1, 5, 9800986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 3 + 13. Suppose 0 = -4*z - 2*a + 50, 29*z - 5*a - 10 = 30*z. Suppose z = b*q - 9*q. Is q less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - ((-3 - 1 - 2) + -3). Suppose 213 + 225 = r*j. Calculate the remainder when j is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (127\/4)\/(3\/12). Suppose -5*p + t = -0*t - 283, 2*p = 5*t + q. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -179*r**2 - 5535 + 5535 as d*r + f + z*r**2 and give z.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - g + 3. Let a be m(0). Suppose -a = 4*r - 31. Suppose -2*v + 0 + r = 5*f, -5*f + 2*v + 23 = 0. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/(28\/32)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -1521?\nAnswer: -1522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3023 or 2864?\nAnswer: 2864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 3*z. Let t(j) = -10*j**2 + 27*j + 75. Let l(u) = -9*r(u) - t(u). Let k(h) = -8*h. Calculate l(k(v)).\nAnswer: 64*v**2 - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2508698 + 1386501. Let w = -422197 - d. Round w to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 1, b: 5, x: 5, n: 1, h: 4}. Give prob of picking 2 b and 1 n.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*r**4 - 52*r**3 - 78*r**2 - 20*r.\nAnswer: 2*r*(r - 10)*(r + 1)*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 346308 and 48.\nAnswer: 1385232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9.3 in -6\/7, -5, -1, 0.5, 503?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b - 14. Let v be g(6). Factor v*s**3 - 12*s + 143 + 135 - 278 - 8*s**2.\nAnswer: 4*s*(s - 3)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 844578?\nAnswer: 4222890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c - 7. Let f = 99 + 27. Let h = -119 + f. What is y(h)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 106.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5934 = -4*l + 14566. Let q = l + -1287. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -1198?\nAnswer: -1198.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 3, 1\/13, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 + 5 - 1469*i.\nAnswer: -1469*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -15. Let i be 0 + -2 + w + 2. Suppose r = d - 4, 3 = 2*r + 7. What is the highest common divisor of d and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49467 divided by 2\nAnswer: -49467\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggddggfgff. What is prob of sequence fff?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15 + (-16 - -3))*(-2)\/(-14). What is the second biggest value in -2, p, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 589, -5 in ascending order.\nAnswer: -5, 0, 589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 - 258*d**2 - 255*d - 666. What is l(130)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797673191?\nAnswer: 7, 79, 809, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 11513 = 4*v + 11519, -5*u = -4*v + 14 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 4. Let w(z) be the first derivative of -3 + 0*z - 1\/9*z**3 + 1\/12*z**k + 0*z**2. Factor w(n).\nAnswer: n**2*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*o + 17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 56883320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-65*(-54)\/117)\/(-14)\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 + 7*y - 1. Let d(b) = -373*b**2 + 410*b + 2. Let z(n) = -2*d(n) - 4*x(n). What is the second derivative of z(f) wrt f?\nAnswer: 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 62*w**2. Let f be c(-2). Let x = f + -133. What is the highest common factor of x and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - x + 7. Let y be s(-4). Let q(w) = w**3 + 5*w**2 + 2. Determine q(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480)*6)\/(1*sqrt(600) - sqrt(600) - sqrt(6)))**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*l = -0*l + 131, 5*d - 5*l + 125 = 0. Let u = d + 31. Suppose -u*t - 1489 = v + 2*v, -746 = 2*t + 2*v. Round t to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y + 17*y = 0. Let f = -311\/1995 - -3\/133. Let u = 7 - 11. Which is the nearest to 1\/3? (a) y (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33961\/48972 - -7\/2332. What is the common denominator of i and ((-89)\/18)\/((-30)\/9)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axaxax. What is prob of sequence xaax?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 121.0325 to zero dps.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnwnnnwnnwnwnnnnnw. What is prob of picking 1 n and 1 w?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1592 - -2443. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 683 + 437 = 2*g. What are the prime factors of g?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*q - 21*q = -9*q - 705942. What are the prime factors of q?\nAnswer: 17, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -20, -21, 4, 61, 156, 295, 484?\nAnswer: 729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*q - 32, -5*o - 4*q = -42 - 32. Suppose o*i = -48 + 2204. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/102*(-15)\/(-40).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775189?\nAnswer: 775189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/180*(-3)\/(-1). Which is the fourth smallest value? (a) -1\/2 (b) i (c) -7 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 607 divide 3380723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.943 - -0.057. Which is the nearest to -0.1? (a) f (b) -2\/11 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 78301471 rounded to the nearest one million?\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -66617855 greater than -66617861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 312 and 6290440.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5671533789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 6:02 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w*w\/(w*w**(7\/3))*w)\/w*w))\/w)\/(w\/(w*w**(2\/39))) assuming w is positive.\nAnswer: w**(5\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6) + (3 - 6\/(-9)). Let w be 1 + (-7)\/o - 118\/(-8). Calculate the highest common factor of 140 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + u. Let o be j(0). Put 3, o, -11 in ascending order.\nAnswer: -11, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5163 = -7530*s - 15103 - 55034 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 5*n - 80. List the prime factors of a(-9).\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -976990, -976987, -976984?\n\"Answer: 3*i - 976993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - -12. Suppose b - 9 = 3*m, -4*b + m + d = -2*m. Let l(y) = -b*y + 0*y + 8*y + 0*y. Let w(j) = -j. What is l(w(z))?\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, n: 1, f: 2, i: 1}. Give prob of sequence fi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5047.758nm in meters?\nAnswer: 0.000005047758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168705\/9780 + (2 - 134\/56) + 2\/14?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5322 + 2420546?\nAnswer: 2426201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.0796 * 0.3\nAnswer: -0.02388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 2*v + 30. Give d(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133 - -10?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2. Let i(u) be the second derivative of -u**4\/2 - 7*u**3\/6 - 2*u. Let f(n) = -3*n**2 - 3*n. Let d(w) = 7*f(w) - 3*i(w). What is s(d(v))?\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 852 = 27. Let n be 126\/(-36)*(-1240)\/14. Let t = k + n. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 l when three letters picked without replacement from {r: 4, z: 1, l: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 bigger than 16.939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -1 - 2. Let k = 0 - 0. Let b be k - (0 + 0\/w). Are b and 0 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21404336 a multiple of 724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15925 divided by -47?\nAnswer: 15925\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 2. Suppose 10 = -b*p + 5*p + 3*z, -5*p + 17 = 4*z. Suppose -q + 62 = p. List the prime factors of q.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.7, -0.1, 3221, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**3\/5 - 204*g**2\/5 - 1197*g\/5 - 1501. Factor w(x).\nAnswer: -3*(x + 3)*(x + 133)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*h + 56*h - 2*j - 19 = -52*h, 13*j + 74 = 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 12*t + 8 = 0. Suppose 0 = t*n + 3*a - 3835, -n - 1915 = -3*n - a. Let w = n + -656. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -4*t - 0*t. Let g = 1 + -14. Let l = g - t. What is the least common multiple of 4 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 780*q = -a + 779*q + 15, 5*a + 2*q - 75 = 0. Solve -a*j = -29*j - 28 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 119956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 26 - (1231 + -1226)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -35\/2. Suppose -615*n + 278 = -337. Sort -4, -2\/5, n, v.\nAnswer: -4, -2\/5, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 3*w - 2*w)*(-w**2 + 4*w**2 - 2*w**2)*(23*w + 43 - 43).\nAnswer: -46*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**3 + 368526*l**2 - 42718740*l + 1238550792 = 0.\nAnswer: 58, 122726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = r + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 41 (c) -2 (d) 2\/19 (e) -74 (f) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 9:09 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 88\/((-1)\/5 + 14\/20). What is the greatest common divisor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2 = -12. Let b be 284\/14 - (-2)\/n. Suppose b = h + 6. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3995487 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16766447 is divided by 698599?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -275b0a (base 12) to base 4\nAnswer: -2133123322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 225080, 225098, 225116, 225134, 225152?\n\"Answer: 18*u + 225062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2 - 2*c - 2. Let u be v(2). Suppose -o - o + u = 0. Suppose -2*i - 11 + o = -2*l, 5*l + 4*i = 20. Solve 5*k - 7 = -q + 21, -3*q + l = -k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**2 + 10*y**2 - 2*y**3 + 5*y**3 - 25*y**3 + 7*y**3.\nAnswer: -15*y**3 + 15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 123347824793370.\nAnswer: 123347824793375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + 13*h**4 - 12*h**4 - 5*h**3)*(-3*h - 1 - 2*h + 7*h).\nAnswer: 2*h**5 - 9*h**4 + 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1911345 or 1911350?\nAnswer: 1911345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(((-6)\/(-26))\/(-3)). Suppose 4*v + 5*p - 8 = 0, 5*p = -v - 0*v - n. Suppose -3*l = -g - 66, -v*l + 2*l + 2*g + 111 = 0. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*x**2 + 171*x**2 + 57 - 548*x**2 - 26 - 26 + 184*x**2.\nAnswer: -16*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/234*50\/50.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (143 + 1 - 3) + 3. Suppose 5*p + m = 7*p. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1 (c) 3541 (d) -0.261\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4 + 2*y + y**2 - 8*y + 6. Let w be m(3). Suppose h = -j - 4, -2*j - 6 + 1 = h. Which is the nearest to w? (a) h (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 0)*(1 + -7). Do x and 7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-138)\/24*12\/(-3). Let y(t) = 29*t - 164. What is the tens digit of y(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 8*i - 5 + 11*i. What is o(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 6. Let s = w - -2. Calculate the lowest common multiple of 5 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 15*h + 4. Calculate n(-13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 a factor of 3978612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 != -722\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 458119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 175670?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) -9 (c) 2 (d) 1\/3 (e) 7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 223.\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(sqrt(8) - sqrt(72)) + (1*sqrt(243))\/sqrt(9))\/(-5*(sqrt(1296) + sqrt(1296)*1 - sqrt(9))).\nAnswer: -sqrt(3)\/230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8266462\/143 - -57807. What is the common denominator of 34\/99 and n?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 618 = -638. Let r(w) be the first derivative of 7*w**3\/3 + 2*w**2 - 6*w - 1. Is r(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*(-1 + sqrt(98) + -5 + 2*sqrt(98)*-5)*-6)**2.\nAnswer: 979776*sqrt(2) + 10334304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7833)\/(-1865))\/((-7)\/30).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 71487, 73379, 76529, 80931, 86579, 93467?\n\"Answer: -r**3 + 635*r**2 - 6*r + 70859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -26*l**2 - 234*l - 206. Determine u(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 + 106*m**2 - 104*m - 70. What is b(52)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d - 40 = 14*d - 5*k, -41 - 39 = -5*d - 11*k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*g = 11*g + 12673. What are the prime factors of g?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 33\/2*(-46)\/(-69). Suppose -12*q = -h*q + 21. Is q > -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u**2 + 2*u. Let w(d) = 3*d**2 + d. Let b(m) = m**3 + 5*m**2 + 3*m + 13. Let t be b(-5). Calculate t*x(p) + 5*w(p).\nAnswer: p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2957, -5646, -8119, -10376?\n\"Answer: 108*j**2 - 3013*j - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5083.\nAnswer: 13, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -191, 0.8, 3\/2, 1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4*f*(f\/f**(-4))\/f)\/((f**6\/f)\/f**(-6))*(((f**(2\/3)\/f)\/f)\/f*f**(-2\/5))**(-43) assuming f is positive.\nAnswer: f**(1733\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1094*f**3*k - 2*f**2 + f*k + 73*f wrt f.\nAnswer: 6564*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4828 + -4823. Solve -a + 5*m = 6*m - d, -m = 2*a - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 416 and 1144?\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24171*c - 61*c**2 + 24171*c.\nAnswer: -61*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -3. Let v = -3 - d. Sort v, 2\/3, -3 in decreasing order.\nAnswer: 2\/3, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 377871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26072 is divided by 59.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 5*l - 34, 3*o - 2*o - 12 = -l. Let t(w) = -o*w - 4*w**2 + 13*w. Let n(j) be the first derivative of -2*j**3\/3 + 6. Determine n(t(f)).\nAnswer: -32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -48, 0.0339, -5, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, l: 2}. What is prob of sequence qll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 292, 291, 284, 271, 252, 227, 196?\n\"Answer: -3*o**2 + 8*o + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18f9 + -490?\nAnswer: -1d89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (27 - (-7 + 67))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**2 - 240230*h - 87862335 = 0. What is h?\nAnswer: -363, 48409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v - 4. Let b be y(4). Let o be (-9)\/(-15) + 37\/5. Solve -3*z + b = -3*r + o*r, -r - z = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3452940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 297 + -293. Which is the smallest value? (a) -3 (b) l (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 6*f. Suppose 5*c + 34 - 239 = f. What is the common denominator of c and 16\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**4\/6 + 8*r**3\/3 - 61*r**2\/2 + 2*r - 16. Let u be p(3). Let g(s) = s**2 - 7*s + 16. Calculate g(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 6*r - 419. Calculate p(27).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 191145 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1889312 and 25024.\nAnswer: 3778624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -1\/14 (c) -2\/131 (d) 332 (e) 0.4 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) -2\/19 (c) -0.033 (d) 0.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155866695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 446.74*-2627\nAnswer: -1173585.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8559 and 33?\nAnswer: 94149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**2\/2 + 2. Let j be (-5 - -2 - -9) + 43. Let v(g) = j - 7*g**2 - 49. Calculate p(v(r)).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 9687 - 1607. Let p = 4135\/2 + y. Find the common denominator of (-9)\/(486\/(-105))*33\/10 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87*i**3 - 133*i**3 + 3*i**4 + 2 + 192*i**3 + i**2 to the form r + s*i**2 + p*i + c*i**4 + o*i**3 and give o.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*v - 31018 = 139614. What is the lowest common multiple of v and 22?\nAnswer: 6094","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86968 + -232751547.\nAnswer: -232838515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -0*m. Suppose -3*t - t + 8 = m. Let r = 5 - 3. Solve q = t*q - r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.2 (b) -94845 (c) 1215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(495) - (sqrt(495)*2 + sqrt(495))*4)\/sqrt(11))\/(sqrt(36)\/(sqrt(4) - sqrt(12)\/sqrt(3)*-3)))**2.\nAnswer: 9680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 8 = -5*z, z + 290 = -4*m + 293 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*w - 99, 2*w = -5*v + 3*v - 68. Let s = w + 91. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/18)\/((-4)\/8). Let k = 1.7 + -1. Let q = -0.4 + k. Which is the nearest to i? (a) 1\/5 (b) -2\/13 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h**2 + h. Let s(r) = -38*r**2 - 7*r + 148. Calculate 6*l(m) + s(m).\nAnswer: -2*m**2 - m + 148","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 156401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 3. Let g(o) = -o**3 - 7*o**2 + 5*o - 26. Let t be g(-8). Let d be (-1)\/((-55)\/(-25) + t). What is i(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 12*v**2 + 10*v - 2. Let o be w(-11). Suppose o*z + z - 1710 = 0. List the prime factors of z.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/(2*sqrt(6)))\/(sqrt(196)*4) + -3)**2.\nAnswer: -3*sqrt(7)\/28 + 4033\/448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134262189?\nAnswer: 3, 19, 785159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4) + (-3)\/(-4). Let q be (-6)\/(-18) + 77\/3. Let k = q + -24. Sort k, -3, g in descending order.\nAnswer: k, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15780*s + 62813*s - 15490*s - 15771*s - 4*s**3 - 15772*s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 95*y - 191. Let l be c(3). Calculate the highest common divisor of l and 1034.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 37 - 48. Let y = t - 3. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.23 + 0.13. Let m = 0.4 + h. Let g = 0 - -0.2. Sort g, m, -4 in increasing order.\nAnswer: -4, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142809 to the power of 1\/2, to the nearest integer?\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -934989, -934991, -934993, -934995, -934997?\n\"Answer: -2*g - 934987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 10947122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 13*c**3 + c**2 + 2*c + 1. Let a(r) = r**3 + 4*r**2 - 1. Let z be a(-4). Determine d(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -30.9. Let l = -3.3 + x. Which is the closest to 2? (a) 1 (b) l (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s + 0*s - 2*s)*(13 - 20 - 34) to the form x + f*s and give f.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times -801?\nAnswer: -16821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + (-3 + sqrt(432)*-3)**2 + -5.\nAnswer: 228*sqrt(3) + 3892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 22*j - 31. What is g(19)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -296 or 32?\nAnswer: -296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30291?\nAnswer: 3, 23, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 33 = 8. Suppose 5*y - 27 = -3*i, 2*i + y = -0*y + s. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -677, -985, -1293, -1601, -1909, -2217?\n\"Answer: -308*q - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -413319*71.\nAnswer: -29345649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*k = 1284986 - 1293815 for k.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-6)*(8 - 0). Let k be (m\/(-9))\/(7\/3). Let n = -120 + 119.8. Which is the closest to n? (a) k (b) 2\/13 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/7)*v*v)**(-34))**(-9\/5) assuming v is positive.\nAnswer: v**(3672\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 2*h + 3. Let r be u(3). Let z(j) = -j**3 + 3*j**2 + j. Let m be z(1). Suppose -r*v + 51 = -m*v. What is the remainder when 65 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 13*d - 14. Give z(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3, -2*f - 2*h = 3*f - 917. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/9)\/(o**(5\/2)*o) assuming o is positive.\nAnswer: o**(-65\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -361 - -360.8. What is the closest to 13 in -2, h, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10504164967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1834.5 - 1708.51. Let k = 125.959 + 0.041. Let n = k - g. Put -0.2, -0.4, n, 0 in ascending order.\nAnswer: -0.4, -0.2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2384*w**2. Let a(y) = -5*y. Determine m(a(v)).\nAnswer: 59600*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 3*g - 5. Let f(q) = -q**3 - 24*q**2 - 24*q - 27. Let d be f(-23). What is t(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 10 - (-25 + -14 - 11 - -2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/23, 5, -0.3, -1\/3, 3, -3482, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = b - 11, -4*b - 2*l + 17 = -5*l. Let y(o) be the first derivative of -5*o**3\/3 + o + 17626. Calculate y(b).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*q - 244*q = -156. Is -1.68 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177258 + ((-16)\/24)\/((-16)\/(-24)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1938 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-2) + -1 + (1 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-9))\/(-5)*117\/(-26).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 23, 0.4, -0.4 in decreasing order.\nAnswer: 23, 0.4, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6255572.\nAnswer: 2, 1563893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5093341 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*-7)\/(4\/(-8)). Let z be b\/(-63) + (-29)\/(-9). Solve s = -z*s - 16, -5*n + 3*s = -12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ordorddrr. What is prob of picking 2 r and 1 d?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - 2*i - 9. Let j be c(-5). Suppose -7*r = -j - 152. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -561*q + 558*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2423541 = -15076*t - 1348*t - 2659*t for t.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -274, -0.11, 0.014084 in decreasing order.\nAnswer: 0.014084, -0.11, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, 3\/2, -1100, 0, -829?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 13. Suppose -3*m - 6 = -2*d + 9, -3*d = -y*m - 25. Is (-65 - 2)*(-1 - d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4556100 rounded to the nearest ten thousand?\nAnswer: 4560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**8\/672 - r**7\/120 - 3*r**6\/160 - r**5\/48 - r**4\/96 - 3*r**2 - 2*r. Solve q(g) = 0 for g.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16724 <= 16724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 1. Let h(n) = n**3 - 6*n**2 - n + 7. Suppose -c = -20 + 11. Calculate the smallest common multiple of c and h(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*d - 20*i + 21*i, 4*d - 4*i + 20 = 0. Which is bigger: d or 5\/74?\nAnswer: 5\/74","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 39 + 21. Suppose -6*q + o*q = 16. Suppose -4 = q*b, 0*b + 764 = 5*k - 4*b. Calculate the highest common factor of k and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 685\/6*42\/525\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 3, 0, 204, 9 in decreasing order.\nAnswer: 204, 9, 4, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/533 and 6\/1001.\nAnswer: 41041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14151 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: In base 7, what is 6 - -2311?\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -225. Suppose -5*z + 266 + o = 4*f, -f - 3*z = -128. What is the highest common divisor of f and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-16 - -26) + -36 - (-17 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2016\/(-91) + (-31)\/(1271\/(-902)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14684645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 95375 in descending order.\nAnswer: 95375, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4690.89635 + -4691. Round s to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -0*g - 28. Suppose 3*x - 1 = -g. Which is the nearest to x? (a) -2\/5 (b) -3 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40974, 81901, 122834, 163779, 204742, 245729?\nAnswer: 286746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**3 + 3*q**2. Let d(z) = z**3 - 2*z**2 + 4*z - 3. Let p be d(2). Let g(r) = r**3 - r**2. Give p*g(y) + 2*f(y).\nAnswer: -y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 and -25\/1403.\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 237965 - 43\nAnswer: 237922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/4 of a minute?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00035134 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + x**2 - 2*x - 1. Let k be w(7). Let v be (-12)\/8*(359 + -11). Let n = k - v. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26.967 - 27. Let f = a - 0.667. Let l = 0.061 + -0.061. What is the fourth smallest value in 3, l, -5, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 8:30 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + 2*l + (2 + 2 - 1)*(-1 + 1 - 2*l) + 4 - 2*l - 4 to the form w + n*l and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/(3\/6). Suppose 13*f - 29*f = 0. Which is the closest to y? (a) 3\/5 (b) f (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**4 + 796016*r**3 + 105605585316*r**2 + 4669914171268192*r - 23352211095477110 = 0?\nAnswer: -132671, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 799*u + 7144. Give s(-9).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 13. Let w(z) = -z - 3. Let r be w(-5). Let q(s) = -s**2 + 0*s**2 + s**r - 2*s**d - s. Give q(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-3 - 2 - 4). Let u(s) = 434*s + 364*s - 108*s - 181*s - 17. Is u(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 3 (c) -67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 4620.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z + 1. Let g(k) = -6*k + 4. Let h be (1 - 0)\/2*-14. Let o(n) = h*u(n) + 2*g(n). What is o(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*y - 0*y - 2194, 5*y - 8797 = -4*l. What are the prime factors of l?\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-44)\/616)\/(4\/(-7)). Put 3, v, -17, 4 in descending order.\nAnswer: 4, 3, v, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -333769, -667552, -1001335, -1335118, -1668901, -2002684?\n\"Answer: -333783*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146, -7, 3, -8 in decreasing order.\nAnswer: 3, -7, -8, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23102 + -21?\nAnswer: -23123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29967*x**2 + 374052.\nAnswer: -59934*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 860601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + 5. Let b = -154.2 + 169. Let y = b - f. Round y to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3 + 0 - 6 - 4*c - 1. Let y be q(-4). Solve -2*z = 2*z + y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5935.\nAnswer: 5, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 70038917.5 rounded to the nearest ten thousand?\nAnswer: 70040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w**3 + 25*w**3 - 108*w**3 - 48*w**3.\nAnswer: -150*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 73511.97um?\nAnswer: 73511970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q + q + q + (3 - 3 + 2)*(2*q - 1 + 1) + (6*q + 3 - 3)*(-3 + 3 + 2) to the form n*q + m and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -211 - -211.1. Let n = -30 - -17. What is the second biggest value in a, -3, n, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58705 and 14160.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 11. Let x be (4\/5)\/(4\/10). Suppose n = x*v - l - 8, -32 = -4*v + 4*l. Solve -5*c + v = -2*m, 3*m - 2*c = -3*c + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 3.67 (c) 137 (d) 1\/10 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7*n = 80. Let p = -11 + n. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*m = 2*m + 5, 0 = m + 1. Solve 2*f - f + 5 = c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1261522 to the nearest integer?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.74944, 0, 5, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-5)\/(-15)*(-6 + 3))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z + 3*z + z**2 + (-z + 2 - 2)*(-5 + 5 + 2*z) + 2*z**2 - 16*z**2 + z**2.\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2573.069 decades to millennia.\nAnswer: 25.73069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2475742.\nAnswer: 2, 191, 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*w - 231*w + 98*w = 8928 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/910 and 38\/3101.\nAnswer: 403130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 4, -1, -843, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*j = -v - 18, 2*j = -3*v + 14. Solve 5*f + c + 22 = v*c, -2*f = -2*c + 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13342413 + -2?\nAnswer: -13342420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 256894*n**2 - n - 2. Let f(k) = -5*k**2. Give x(f(a)).\nAnswer: 6422350*a**4 + 5*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1738*u = 1722*u + 48 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4323?\nAnswer: 3, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1 (b) -369\/4 (c) -2\/19 (d) -3 (e) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*i - 16, 0 = -k + 4*i + 25 - 2. Let b(o) = 10*o**3 - 2*o**2 + 8*o - 12. What are the prime factors of b(k)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 10:00 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0 = p - 13, -2*b - 4*p - 4 = 0. Sort -0.4, -0.5, b in ascending order.\nAnswer: b, -0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13336759985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**10)\/d)\/(d*d\/d**(2\/39)))\/((d\/(d*d**(-10)*d))\/(d*d*d\/d**(2\/3))))**(-1\/25) assuming d is positive.\nAnswer: d**(-18\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 91877, 91876, 91875, 91874, 91873?\n\"Answer: -m + 91878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bchbc. What is prob of sequence chcb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 183328 to the power of 1\/2, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 + -1. Suppose -51 = 4*u + 17. Let k = u + 103\/6. Put s, k, -3\/5 in ascending order.\nAnswer: -3\/5, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6 + -9 + 16 + 415\/(-740) and -37\/9.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*p - 32, 0*m = -m + p + 10. What is the remainder when 43 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 8330, 1\/5, 0.03 in ascending order.\nAnswer: -1\/8, 0.03, 1\/5, 8330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 7185140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*z - 19 - 197 = 99 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -92.\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (121 - 2*p + 10*p - 10*p)*(-3 + 2 + 2).\nAnswer: -2*p + 121","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 799812 and 1404.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**3 + 58*j - 58*j.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3 + 141*t**2 - 5075*t + 13983 = 0. What is t?\nAnswer: 3, 59, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y + 31*y - 8610 = -49*y. Solve -105 = -y*v + 59 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 8 - 1 + 9 - r.\nAnswer: -r + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -271210\/169 or 5\/6?\nAnswer: -271210\/169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (83\/2*(-354)\/177)\/((-8)\/8)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = y + 195, 2*y - 492 = -5*p + 6*y. Suppose -10*s = 2*s - p. Let m be 7\/6 + (-2)\/4. What is the biggest value in -0.5, s, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times -47.946?\nAnswer: 671.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 33199 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19 (b) 0.9 (c) 5 (d) -2\/9 (e) -1\/4 (f) 19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10872 + 37183. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 413 and 10.\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*o**3 - 6*o**3 + o**3.\nAnswer: -23*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 19. Let c(a) = -a**3 + a**2 + 13*a + 7. Let j be c(-3). Solve 5*l - g*v + 10 = 1, -j*l + 4*v = 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 4:15 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2338 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: Work out 272 * 0.03.\nAnswer: 8.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 + 1001010?\nAnswer: 111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 9*n - 12 = -3*z, -2*z + 14 = 4*n. Suppose n*m + 69 = 3*i, 2*m - 5 + 23 = i. Calculate the remainder when i is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 0 + 27*u - 50*u - 1 + 22*u. Let z(d) = -3 - 18 + 6 - 18*d. What is 30*y(t) - 2*z(t)?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -0.9. Let i = t - 1. Let p = -8 + 3. Which is the biggest value? (a) p (b) -1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2. Let d(y) = 5202*y**2 + 7*y. Give d(s(l)).\nAnswer: 20808*l**4 - 14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 = -22*z, -x - 1526492*z = -1526494*z - 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -488696 divided by 61087.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*h**2 - 99*h**2 - 85*h**2 - 73*h**2.\nAnswer: -188*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1844260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**2 + 23*z - 7. Let d(g) = g**2 + 4*g - 1. Let q(w) = -4*d(w) + v(w). Let y(r) = -r**2 + r - 1. What is -q(o) + 6*y(o)?\nAnswer: 2*o**2 - o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4070, 4067, 4062, 4055, 4046, 4035?\nAnswer: 4022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aazlqatqqlea. What is prob of sequence tqe?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5156?\nAnswer: 2, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, x: 3, z: 3, c: 2, i: 4, p: 2}. Give prob of picking 2 c and 1 f.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 187628404 less than 187628403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*r - 93 + 272, -5*g - 62 = -r. Suppose 2*p - u = 25, -3*u - r = -4*p - 2*u. Suppose -n + 18 = 2*n. What is the least common multiple of n and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -116 + 115.6. Let f = 0.07 + 13.93. Let h = f - 12. Which is smaller: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-6)*0)\/(2 - 4). Factor -2\/13*l + 2\/13*l**2 + c.\nAnswer: 2*l*(l - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**5\/60 - q**4\/12 + q**3\/3 + 2*q**2. What is y(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(2015 + 47*z - 1006 - 1010).\nAnswer: -47*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 1204?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 179, 181, 159, 101, -5, -171?\n\"Answer: -2*n**3 + 16*n + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27088 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13586 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + 2*p + p + p - 4*p + (0 - 1 + 0)*(3 + p - 3) + 0 + 2*p + 0 + 2 + 4*p - 1 - p in the form n + u*p and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 + 3)*(-4 + 2 + 3)*(1 + 2*b + 5 + 3).\nAnswer: 20*b + 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62\/15 - 158\/15. Which is smaller: s or -14?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789513 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + sqrt(78) + (sqrt(78)*1 - sqrt(78)))*2)\/sqrt(6).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (2 - -1 - (6 + 6))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 0 - (3 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 7*t + 6. Let a = 16 + -9. Calculate o(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2536674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.093 + -1636.093. Let t = q + 1636.03692. Round t to 3 decimal places.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 21*b**2 - 3 - 31*b**2 + 16*b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -16, -4, 7, 0.52, 2\/21 in decreasing order.\nAnswer: 7, 0.52, 2\/21, -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) -5 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 6*p + 10. Let b(n) = -3 + 3 - 6*n + 5*n - 1. Let f(y) = -6*b(y) - k(y). What is f(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 21770*q**2. Let f(j) = j. Give f(z(r)).\nAnswer: 21770*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60096355 - -60096347.44001264. Let p = -7.56 - m. What is p rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s, -17*f + s - 1380 = -20*f. Round f to the nearest 10.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -452355 - -235?\nAnswer: -452120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36 or 1\/4?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 667068.\nAnswer: 2, 3, 55589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 210 + -399. Let v = k - -563. Let a = -391.3 + v. What is a rounded to zero decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -311117671+9\nAnswer: -311117662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*z + 1, 3*t - 7*z + 2*z - 2 = 0. Let p be 6*(34\/(-32) - t). Put -0.1, -1, p in decreasing order.\nAnswer: -0.1, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2))**(-2\/13)\/(x*x*x**0*x)**(4\/15)*(x*x*x\/(x\/x**4*x)*x*x*x*x*x**(1\/2)*x)**(1\/19) assuming x is positive.\nAnswer: x**(-421\/2470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -40. Suppose -4*k + 3*s = -70, g*k + 3*s + 36 - 94 = 0. Calculate the remainder when -1 + -1 + 35 + -3 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 4. Let s = -6 + 7. What is the lowest common multiple of s*6 + 4 + -1 and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, a: 9}. Give prob of sequence wa.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 8904 - 2679. Suppose -2*o - 650 = -o - 4*g, -2*o - n = 3*g. Round o to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 2*p - 28, 5*p = -2*y - 2 - 0. Suppose 0 = 68*o - 65*o + 2*t - y, -20 = -o + 5*t. Solve s - o = -3*r, -r + 1 = 3*s + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjn when three letters picked without replacement from kjojenjkkjjnrn?\nAnswer: 15\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-140)\/(-1000)*-5)\/(35\/(-40))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -342924002*k - 681318861 wrt k?\nAnswer: -342924002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84.3 - 22.7. Let c = -107.3 - n. What is the biggest value in -3, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8*u**3 - u. Let w be o(1). Let p = -251 + 259. Calculate the common denominator of -21\/5 and p - w - (-73)\/(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + 4\/8*4. Suppose 16 = z*i - 3*i. Let g(x) = -3*x - 1. Calculate the remainder when g(-4) is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 918674 (base 16) to base 14\nAnswer: 13a38c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 h when two letters picked without replacement from yfyhyuyyt?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4352 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16320303?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4432, -3911, -3052, -1861, -344, 1493?\nAnswer: 3644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (0 - (-2 + 2)). Let u(v) = -2*v**2 + 4 - 2*v**2 + 3*v**c - 2*v + 4*v**2. Let t be u(4). Calculate the greatest common factor of t and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -18 - -22 - (-136 - 4). Let r be ((-6)\/8)\/((-9)\/q*4). What is the highest common divisor of 54 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 6 (c) 0.5 (d) 1\/5 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 431891, 863794, 1295707, 1727630?\nAnswer: 2159563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*t - v + 19, 0 = 2*t - v + 11. Let r be t + (-1)\/2*2. Let p be 8\/12*42\/4. Which is the third biggest value? (a) r (b) p (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -487 - -941\/2. Find the common denominator of t and 119\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**2 + 3504*n + 605776. Give u(-237).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*n, h = -h + 2*n - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77)\/11 + 75*(-10)\/(-105)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -j - 10. Suppose 2*m + 4*b = 50, 2*b = -2*m - m + 63. Let k = j + m. Calculate the least common multiple of 7 and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-6048)\/96*(-2)\/6.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18126176347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v + 40*v + 121 = 0. Sort 4, -0.3, v, 2 in descending order.\nAnswer: 4, 2, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43582 times 895?\nAnswer: 39005890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62615120 and 31307560?\nAnswer: 62615120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/(-3 + 189\/70) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 + 2*d**2 + 8*d + 945919. Is w(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00733 to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*q - 5291 = 95*q + 216*q + 3179 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*3\/3*(-1)\/(-5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p + 1538550 = 117*p. Does 39 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 9) in base 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 23, -2*w + 156 = -2*s + 91 + 115 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/6*(2 + 4). Let g = k - -2. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 0)\/(-1) + 0. Let h be 9\/((-54)\/24)*j\/578. Is h greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33016 + 33022. Which is the nearest to p? (a) 5 (b) 3\/8 (c) -1\/4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 178837 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 9:24 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 0.03, 45\/7, -5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 2\/3 (c) 0.3 (d) 398\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 4*b + 8 = 0, -15 = -5*n - 29*b + 24*b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -47, -711, -1375, -2039, -2703, -3367?\n\"Answer: -664*z + 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 9*p**3 - 5*p**2 - 12*p + 14. Let y(l) = -l**3 + l**2 + 2*l - 4. Let s(a) = q(a) + 6*y(a). Let u(v) = 2*v**3 + v**2 - 11. Give -3*s(t) + 4*u(t).\nAnswer: -t**3 + t**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 148629 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 377393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ggh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (106\/(7314\/(-713)))\/((-2)\/(-6)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028867 + 0.041?\nAnswer: 0.069867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 + (-82 + 100)\/(-90)?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9875, 72, -45 in increasing order.\nAnswer: -45, 72, 9875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 x when three letters picked without replacement from {x: 1, j: 1, k: 2, r: 1, m: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z - 2 + 2)*(-1 + 1 + 2*z) - 2*z**2 - 2*z**2 + 3*z**2 + 4 - 6*z**2 - 2 + 2*z**2 to a*z**2 + w + r*z and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -248, -1706, -5600, -13148, -25568, -44078, -69896?\nAnswer: -104240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y - 3*y + 3*y - 1)*(-1 + 1 - 2)*((-5 - 1 - 7)*(85 - 50 + 32) + 3 - 2 + 2 + (-1 - 3 + 3)*(-2 + 3 - 2)) to q + l*y and give l.\nAnswer: 1734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 21?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -20*j**2 - 12319*j - 48196. Determine n(-612).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 - (2 - (-22)\/6)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b3 + -11?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0124343 rounded to three decimal places?\nAnswer: -4.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/10)\/(-2 + 11\/5). Suppose 5*h = -10 - 10. Let m be 4 + h - 1\/(-6). What is the nearest to -1 in 2\/7, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1504.2134 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18305?\nAnswer: 5, 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46752824*t**3 + 18400787 wrt t.\nAnswer: -140258472*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 5*m**2 - 2*m - 6. Let b be y(-5). Let q be b\/(-6) - (-98)\/21. Let j(d) = -5*d**3 - d**2 + 4*d + 4. Let s be j(-1). Is q less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.7928 - 0.2072. What is the nearest to 140 in -2\/15, t, -3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 + 17*x**2 + 19*x - 62. Let d = -4 - -26. What is the lowest common multiple of d and z(-4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -5. Suppose 0 = -5*z + n*v - 76, -3*z - 4*v - 44 = 19. Let l = z - -18. Which is the third biggest value? (a) 0.5 (b) l (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 4 = -2*c, u + 1 = 4*c - 16 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 5\/6*p**3 + 1\/20*p**5 - 3*p - 1 + 3*p**2 - 1\/2*p**4. Calculate v(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4258?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 14*m**2 + 12*m + 14. Let b be q(13). Let d be b\/4 + (-280)\/(-32). Suppose -4*l = -61 + d. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12075 + -7328. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-192)\/128 + (-71)\/(-42). Let t(n) be the second derivative of 4*n + 1\/70*n**5 + s*n**3 + 2\/21*n**4 + 0*n**2 + 0. Factor t(w).\nAnswer: 2*w*(w + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-10)\/(-45) - 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39288744?\nAnswer: 2, 3, 11, 113, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 20 = 0, 7*s + 3*n - 7 = 8*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -10738, 0.02, 2 in descending order.\nAnswer: 2, 0.02, -10738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = 2*y - 90. Let h be 25\/5 + (3 - y). Let m be (11\/6 - h) + 12\/(-3). Which is the nearest to 0? (a) m (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 7 (b) 23 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 12574?\nAnswer: 12574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q - 12. Let a be z(-4). Suppose -g + 5 = -a*g. Factor 28*k - g - 33*k**3 - 1 + 5*k + 6*k**2.\nAnswer: -3*(k - 1)*(k + 1)*(11*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/((-2)\/(-6) - 1). What is the derivative of 10*n**2 - 5 - a*n**2 + 1 wrt n?\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + sqrt(175)*-5.\nAnswer: -25*sqrt(7) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + (sqrt(190) + -1*sqrt(190) + sqrt(190))*-4 + sqrt(190))\/(-5*-1*sqrt(10)) + 1)**2.\nAnswer: -4*sqrt(19)\/5 + 101\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 3*p - 8. Let z be g(-7). Solve 0 = -4*c - 0*c - 4*i + z, 0 = 4*c - 5*i - 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 - 4.5. Let j be (8\/6)\/((-15)\/(-1260)). Let b = j - 1010\/9. What is the second biggest value in -0.8, h, b?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 5:04 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 20 + (-9 - 1) - -5?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3 - 170300*m**2 + 1872974*m + 7151676 = 0. Calculate m.\nAnswer: -3, 14, 85139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1433103 to the nearest integer?\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000137474449 to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-254242)\/(-10) + (-528)\/440 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2298 divided by 120445.\nAnswer: -2298\/120445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90798 + 26300 = 1091*g + 5816 for g.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31329396 divided by 1080324.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.76 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7248220669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-2 - -1 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9140507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 2\/9, -10815, -1\/4, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396\/2310*(0 - -2 - (-6)\/(-17 - 7)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010 (base 3) to base 4.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/16)\/(-6*(-168)\/(-3456))\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - 305?\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m + 4. Suppose -71*h = 17*h + 352. Let t(c) = -2*c + 3. Calculate h*t(d) + 3*j(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 963033, 963032, 963031, 963030, 963029, 963028?\n\"Answer: -v + 963034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Suppose w = f - 2. Let l(c) = 4*c**2 - 4*c**2 + c**f. Let g(v) = v. Give l(g(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 173280 and 6560.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65 (base 10) to base 11.\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 e, and 1 x when three letters picked without replacement from {s: 4, i: 10, u: 2, e: 1, x: 1}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 61529502923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125147, -250230, -375301, -500354, -625383, -750382, -875345?\nAnswer: -1000266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1353.\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/7 and -1199378 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*c - 34*c - 126*c**3 - 349*c**3 + 470*c**3 + 14*c.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v. Let z(h) = -1966*h**2 - 2015*h**2 + 4059*h**2 - 2*h. What is u(z(d))?\nAnswer: -312*d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*m + 2*p, 3*m - 2*p = 2*p + 29. Let h(x) = -4*x - 3*x**m + 3*x**3 + 1 + x**3 + 3*x**2. Let z be h(-4). Is z less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (3 - (-7 - -2)) - -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.064 + 0.774. Let x = -0.710159 + v. What is x rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/275615 and 1\/4975.\nAnswer: 1378075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**3 - 25*a + 1. Let h(n) = -5*n**3 + 50*n - 3. Determine 9*c(p) + 4*h(p).\nAnswer: -2*p**3 - 25*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -0.1, -2, 3\/7, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1574 is divided by 261.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 + -77. List the prime factors of p\/28 - (-569)\/4.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d - 106. Let j be p(21). Let y = 667 + j. What are the prime factors of y?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 185.1 + -185. What is the nearest to b in -0.3, -2, 0.044?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + h + 1 + (4*h - 4*h - 2*h)*(0 + 2 + 4) + 2*h + 1 - 2 + 2.\nAnswer: -9*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/758670 and 23\/5016.\nAnswer: 3034680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/13 + (-1113)\/(-2457)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 60*b**3 + 19*b**3 + 3.\nAnswer: 79*b**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 13*b = 9*b + 9, -2*v + 5*b = -5. Let q(x) = -x**3 - 13*x**2 - 13*x - 11. Let d be q(-12). Sort 2, v, d, -2 in increasing order.\nAnswer: -2, d, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**5\/19 - 3638*z**4\/19 + 229842*z**3\/19 + 432938*z**2 + 55629392*z\/19 - 64081416\/19 = 0.\nAnswer: -1879, -14, 1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3 - (-4)\/(-6). Let u = 0 - d. Suppose u*p + 11 = -3*p - 5*f, 0 = 2*p - 5*f - 26. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, g: 2}. Give prob of picking 1 g and 1 v.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 51*j**2 + 55*j - 158. Determine t(52).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23657110.\nAnswer: 2, 5, 23, 73, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15239\/(-4354)*(-12)\/(-13).\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 17415 = 2*a + 17425, 3*m - 3*m = 6*a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 107\/(-10) + (-18)\/(-240)*-4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1 - 3)\/((-462)\/14 - -38).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1424 divide 8460777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9266 (base 13) to base 8\nAnswer: -47343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252769 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -273*i - 988. Let g(n) = 63*n + 247. Determine -9*g(k) - 2*q(k).\nAnswer: -21*k - 247","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -334+456\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 12. Suppose -7 - 4 = k - h*v, 4*v = 8. Let m be (-10)\/(-35) - (k + 1). Which is the second smallest value? (a) 0.4 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2781, -5, 0, 3, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 222*z - 61. Let y be n(9). Let j = 3186 - y. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9361649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a (base 14) in base 3?\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 13 - (-19 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7163.28g?\nAnswer: 7163280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 37. Suppose 4*k + 12 = -g + r*g, -k = -4*g + 17. Solve 0 = i - 0*i + g for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 910519.13 + 42473.\nAnswer: 952992.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 940\/705*1\/((-52)\/(-6))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 868 - 867. What is the nearest to 1 in -3, y, -21?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -2\/565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -432265, -864543, -1296823, -1729105?\nAnswer: -2161389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 + 4 - 588*u**2 + 296*u**2 + 1 + 287*u**2 - 3 - 10*u + 5*u**4 to the form d*u**4 + y*u + f*u**2 + s*u**3 + g and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 342800*1.042\nAnswer: 357197.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - -110?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 20461.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 5 = -33 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5785 - 1 - -2)\/(222\/9 + -24)?\nAnswer: 3, 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -805 + 722.6. Let c = q - -82. What is the second biggest value in -2, 0.6, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24013*f - 23572*f = 2311 + 25472 for f.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.574441, 5, -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 946 = -23*r - 117*r + 151*r for r.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n + 21*n + 3*n)*(41*n**2 + 40*n**2 + 8*n**3 - 78*n**2) to m*n**4 + q*n**2 + b*n**3 + a + u*n and give m.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.203 and 2?\nAnswer: 0.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 27*r + 8. Let l be n(-13). Let p = 1169 - 22209\/19. Which is the closest to -0.1? (a) l (b) -9 (c) -3 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r**5 - 5142*r**4 + 65060*r**3 + 1106360*r**2 + 2178384*r + 533632 = 0 for r.\nAnswer: -379, -8, -2, -2\/7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 368355 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, v: 7}. Give prob of picking 2 v and 2 g.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**6\/360 + i**5\/60 + i**4\/24 - 5*i**3\/6 - 5*i. Let b(p) be the second derivative of y(p). Give b(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.01983 + 0.01983. What is the third smallest value in 1\/6, 2, -0.5, s, 13?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3410106098 and 2646.\nAnswer: 3410108744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4246\/15 - -850\/3. Which is the smallest value? (a) -3 (b) -1 (c) t (d) 2\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 85143766407169?\nAnswer: -85143766407168.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1. Let q(c) = -6*c + 1. Let v(a) = -q(a) + 2*r(a). Suppose 4*s - 6 = -2*s. Does 7 divide v(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 873 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -1) + (-104 - -12) + 1 + (-139 - -124).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 326341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 115292, 113200, 111106, 109010, 106912, 104812, 102710?\n\"Answer: -f**2 - 2089*f + 117382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3 + 177212126*l**2 - 708848480*l + 708848472 = 0 for l.\nAnswer: 2, 88606059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -15*d**3 + 12*d**2 + 9*d - 17. Let s(g) = -7*g**3 + 6*g**2 + 4*g - 8. Let v(u) = -6*m(u) + 13*s(u). Is 13 a factor of v(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 1 - (-4 - -6 - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hiihjjiighnikjj. Give prob of sequence khh.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((21\/(-6))\/7). Let i(c) = c**3 - 3*c**2 - c + 2. Calculate i(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 0*d**4 + 0 + 23\/30*d**6 - 32*d + 0*d**2 + 0*d**5 - 5\/6*d**3. What is the second derivative of c(z) wrt z?\nAnswer: 276*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**2 + 22*t**3 - 47*t**3 + 7*t**2 - 6*t**2 - 49*t**3 in the form w*t + s*t**2 + d + g*t**3 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8877596 and 1092?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -19*l**2 - 231*l - 18. Calculate the smallest common multiple of 126 and b(-11).\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-8))\/(-1*4\/96). Let g be 30\/24*4 + 7. Calculate the greatest common divisor of g and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23002 (base 4) to base 5.\nAnswer: 10311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/7)*g**40)**(-3\/8) assuming g is positive.\nAnswer: g**(-207\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 + 234?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s + 18. Let x be z(9). What is the remainder when 12 is divided by -1*x\/(0 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a. Suppose -3*z + 10*z + 14 = 0. Let x(m) = -2*m - 10. Let j(i) = -2. Let v(g) = z*x(g) + 10*j(g). What is v(t(p))?\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.24 times -60167?\nAnswer: 134774.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 1\/6 (b) -31\/3 (c) 1\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62287885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.5765 - -1.1.\nAnswer: -12.4765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - f - 432 = 0, -6*f + 288 = -2*k - 4*f. Let v = -135 - k. What is the greatest common divisor of 144 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - g**5 + ((3*g**2 - 4*g**2 + 2*g**2)*(-g - 2*g**2 + g) - 2*g**4 + 3*g**4 - 2*g**4)*(3*g + 2*g + 7*g).\nAnswer: -37*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 7:59 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -3 + 5)*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115590613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2 = 42. Determine u so that -145*u**2 + 50*u**3 - 5*u**5 - 18 - f + 75*u + 45*u**2 + 6 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**3\/3 - 3*q**2\/2 - 3*q. Let b be w(2). Suppose 4*i + 7 = -b, 0 = -3*p + i + 32. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -47. Calculate the greatest common factor of 30 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9229 + -1.41\nAnswer: -9230.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j**2 + 9*j - 8. Let u(g) = 4*g**2 + 8*g - 7. Let q(x) = -6*r(x) + 7*u(x). Let b be (-3)\/18*-4*(-2 - -14). Let t = b - 6. Calculate q(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Suppose u = -n + 4 - 0. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 754 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 m when three letters picked without replacement from {i: 4, t: 4, m: 11}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 177*c + 350.\nAnswer: (c + 2)*(c + 175)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -3*a**5\/20 - 7*a**3\/6 - 2*a**2 + 7*a. Let j(i) = -2*i**3 - 4*i - 2. Give -7*j(t) + 4*x(t).\nAnswer: 2*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c442 - 5?\nAnswer: -c447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -332443 (base 8) to base 3.\nAnswer: -12200111201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98 + 302 + 268 - 4*h - 67 to o + k*h and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 47*a. Let o(t) = 554*t + 320. Give o(k(i)).\nAnswer: 554*i**2 - 26038*i + 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (-1 + sqrt(76) + -1 - sqrt(76)) + 5*(sqrt(76) + 1*sqrt(76)) + (sqrt(76)*2*2 - sqrt(76)))**2.\nAnswer: 416*sqrt(19) + 51392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of x**2 - 272 + 269 + 28*x**3 + 5*x**2 wrt x.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -413*s**4 - 92*s**4 - 2 + s - 664*s**4 - 134*s**4 - s**3 + 2*s as z*s**2 + g*s**3 + q*s + u*s**4 + y and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - b - 1. Let v(k) = -5*k**3 + 5*k**2 + 5*k + 5. Calculate 10*t(o) + 2*v(o).\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/107? (a) -120 (b) 0.5 (c) -2 (d) -4 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 2. Let j be b(3). Suppose -299 = -5*i - a, -5*i + 5*a = j*a - 303. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 6:48 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347861 is divided by 347775?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 5*x**2 + 3. Let y be n(-5). Let k be ((-288)\/(-60))\/(y\/10). Let q be (-10)\/(-35) + k\/(-7). Sort 1\/4, -0.6, q.\nAnswer: q, -0.6, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3 = -3*x, 2*x + 0*i = 3*i - 6. Suppose -x*m = 4*w - 20733, 3*m - 5*w = 20287 + 446. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0.3. Let p = 17\/55 - 6\/55. What is the second biggest value in 0.37, s, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (-78)\/(-12) + (-7 - -4). Sort 5, i, -14, -13 in ascending order.\nAnswer: -14, -13, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 6*j - 874. What is t(32)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -69, -72, -75, -78?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 3*l + 5. Suppose 0 = h - 6 + 1. List the prime factors of f(h).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*t - 1. Let v be (1\/t)\/((-2)\/3). Let k be 38\/(-114)*(-34)\/(-22) + (-4)\/(-22). What is the nearest to k in v, -6, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*k + 79*k + 71*k - 216*k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -804 = -n - 3*n. Find the common denominator of (n\/(-60) - 1) + -1 and 19\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of g**3 + g**2\/2 - 14*g - 332. Is 31 a factor of q(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 4:06 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five quarters of a day?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -169*x**4\/4 + 13*x**3 - 39*x**2\/2 - 39*x + 155. Let p(y) = 17*y**3 - 4*y**2 + 4*y + 4. Determine 39*p(u) + 4*w(u).\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212, 206, 188, 152, 92, 2, -124?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -38900 to the nearest one thousand.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6264574137?\nAnswer: 3, 17, 40944929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142 + -107. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.6 (b) -3\/7 (c) 15 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 9.95. Let b = r - -1.95. What is the biggest value in 3\/2, b, -2\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 179 (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1074 + 721*w**2 - 3226*w**2 - 1074.\nAnswer: -2505*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 328 - 21*i**5 - 3*i**2 + 27*i**5 - 2 - 53*i**3 wrt i?\nAnswer: 360*i**2 - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or -7?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/3 - 17*u**2\/3 + 18*u + 24.\nAnswer: (u - 12)*(u - 6)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 251\/45 - 52\/9. What is the closest to 4 in 0.4, 3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 7:06 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y + 4. Let v(b) = -3*b + 8. Let s(r) = -5*n(r) + 3*v(r). Let m be s(-5). Is ((-2)\/4)\/(m\/12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2562 + 0.1562. Which is the closest to z? (a) -2 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 5. Let t(f) = 13*f - 32. Let o(v) = 35*v - 88. Let u(l) = 3*o(l) - 8*t(l). Give u(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 1183746.\nAnswer: 10653714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-3)\/(-120))\/(186\/28024) and (-4)\/20 - (-1022)\/(-240)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-750369.\nAnswer: 3001476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6334426961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*o + 241 + 251 + 392 = 0 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 563*(36\/(-9) - -1 - 0). Is z greater than -1688?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 4*f + 7)*(-27 + 10 - 831*f**4 + 17).\nAnswer: 3324*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1279 - 481 = 493*r + 705 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 407 + -413.02. Let v = -0.5 - 5.5. Let z = v - w. Which is the second biggest value? (a) z (b) -2\/19 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -8*g**3 - 6*g**2 - 7. Let q(c) = 3*c**3 - 25*c**2 - 6*c - 32. Let w(d) = 2*d**3 - 3*d**2 - d - 4. Let i(v) = -q(v) + 6*w(v). Give -6*i(l) - 7*o(l).\nAnswer: 2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 0, -3, -1, -5969.\nAnswer: -5969, -3, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*x + 24 = 0, -2*n + 7*n - 2*x = 22. Suppose 4*v + r + 3160 = -0*v, -v - 3*r - 801 = 0. Let u = v - -789. Sort n, u, -5 in descending order.\nAnswer: n, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27292170838*y + 27292170838*y - 481*y**2.\nAnswer: -481*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8014843 and 669?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*n, 5*t = 2*t - 3*n - 6. Let d(i) = -13*i + 6*i + 3*i - 3. Let x be d(t). Solve -4*l - 1 = -x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -2. Let i be -3 + (g - 1) + 2. Solve i*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 19. Suppose z + 0 = 4. Which is the biggest value? (a) g (b) z (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*a + 92*a = 100. Find the third derivative of 89*s**2 - a*s**6 + 8*s - 175*s**2 + 2*s**5 + 71*s**2 wrt s.\nAnswer: -3000*s**3 + 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 z when two letters picked without replacement from {z: 6, c: 1, g: 10}?\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/4411 and 23\/2807?\nAnswer: 30877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4245 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -0*d - 54*d. What is the nearest to 1\/3 in d, 4, 143\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**2 + 8379*d + 67224 = 0. What is d?\nAnswer: -8, 2801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 11:56 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/10 + -1)*-86. Let p = z - -25. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/10)\/(6\/4)*26910\/690*-4\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 85) + (-210 - -219) - -21?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 46 = 12*p. Let w(i) = 6*i + i**p + i + 2 - 17 + 23. Determine w(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 2)\/(2\/(-6)). Let k be (0 + -6)\/j + -3. What are the prime factors of k\/(-1 - 30\/(-33))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((672\/(-2800))\/((-36)\/40))\/(((-960)\/(-18))\/(-8)).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5 = w, 3*l + 0 = 2*w + 10. Solve 1\/2*k**2 - 1\/4*k + l = 0 for k.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**4\/4 + 26582427*m**3\/4 + 106329627*m**2\/4 - 292406547*m\/4 + 79747245\/2 = 0.\nAnswer: -8860805, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1560983196 divided by -4?\nAnswer: -390245799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283079.\nAnswer: 283079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*u**2 - 4 - 11 - 10 - 2*u + 8 + 18 to k*u + h*u**2 + r and give h.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.3 - -2. Which is the third biggest value? (a) 1\/3 (b) z (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/9386178 and -46\/14079267.\nAnswer: 28158534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8276 divided by -2069\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494288?\nAnswer: 2, 30893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((135\/12)\/(-5) + 1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from ooaooaooooo.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000130091 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00372375 to 4 decimal places.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/5 - 7828*p\/5 - 23466\/5.\nAnswer: -2*(p + 3)*(p + 3911)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 50943, -6, -148, -1 in ascending order.\nAnswer: -148, -6, -1, 50943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 16) in base 6?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 7. What is the third smallest value in b, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 9*r + 25. Suppose -g - 12 = -4*x, 4*g = -g + x - 3. Let c be g\/((2\/(-6))\/(r\/(-24))). Solve -i - 5*q = -7, -i + 0*i - 4*q + 5 = c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*s + 3*n + 6 = 0, 3*s - 8 = 4*n. Let p be 1\/(-1)*2\/(-5). Which is smaller: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.031 and -63.\nAnswer: 1.953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/10149072 and -17\/196857.\nAnswer: 91341648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 108*k - 76*k + 18 - 33*k - 184*k to the form v + h*k and give h.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 971924 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*b**3*i - 2*b**3*w + b**3 - 89*b**2*i - 920443*b*i*w - 13*b - 1 wrt w.\nAnswer: -2*b**3 - 920443*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.281 plus 635647?\nAnswer: 635646.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 10*z - 8. Let p be l(9). Let y be (-5)\/(-2) - p\/(-2). Suppose 53 = 4*v - y*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 719 + 185 = 0. What are the prime factors of s?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 229061193 to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2.20226 (b) 39 (c) 6 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 194 in decreasing order.\nAnswer: 194, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcxt when four letters picked without replacement from cchctltttchtccxccx.\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 0, -3*x - 15 = -5*o - 12 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/(l\/((l\/l**(-1\/4))\/l*l))*l**(-2\/5)\/l)\/(l**(1\/8)\/l*l**2)*l*l**(-5)*l**(-1\/3)*l\/((l*l\/(l**(3\/5)\/l))\/l)*l*l**(-1\/11)\/l assuming l is positive.\nAnswer: l**(-5411\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*g - 5 = 0, -4*n + g + g + 30 = 0. Suppose n*z = 4*z + 57. Suppose 3*q - 4*b + z = 2*q, -2*b + 11 = -q. Let m(d) = -d**2 - d + 4. Calculate m(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*v - 7 = -i, -2*i + 2*v = -10. Let b = 0 + i. Find the second derivative of -3*r**b + r**4 + r - 3*r + 6*r**4 wrt r.\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 1:04 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6875570.\nAnswer: 2, 5, 13, 52889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 - n + 30. Give p(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 90213373 and 0.\nAnswer: 90213373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(-6)\/(-4)*(-459)\/(-54). Let y = w - 40. What is the least common multiple of 5 and y?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/2547, -42\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.026 - 0.026. What is the nearest to 1\/4 in g, 2\/5, 0.02?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 60?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*r - 57*r - 24*r**3.\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aannxannna. What is prob of sequence an?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -196 and 10604880.2822.\nAnswer: 10604684.2822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = m + 2183, 0 = 4*w - 6*m + 2*m + 4348. What is the common denominator of 12\/30*w\/(-72) and -51\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/12)\/i**(-3))\/(i**(10\/7))**(-15\/7))**27 assuming i is positive.\nAnswer: i**(32517\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3993557 is divided by 1996612.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7251839 is divided by 25992.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/(g*g*g**6)*g*g)*g)\/(g\/g**1)*(g**0)**(-6\/7)*(g**(-6)*g)\/(g**(2\/7)*g)*(g\/(g*g**(2\/23)*g)*g)\/g*g\/(g\/g**3)*g assuming g is positive.\nAnswer: g**(745\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 7:59 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c - 14. Let g be u(-6). Let m = -174 + 276. Let w = m - 129. Which is greater: w or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*u - 74*u = -118*u - 940 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**5\/3 + z**4\/3 + 14*z**3\/3 + 4*z**2 - 13*z. Find h, given that r(h) = 0.\nAnswer: -1, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - 6. Let v be x(2). Let w = 49 + -733\/15. Which is the closest to 2? (a) v (b) -3\/4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 + -56. Suppose -4*i = l*f - 196, f - i + 4*i = 72. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.0545\nAnswer: -0.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/980)\/((-4)\/(-10))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -78500*21\/((-42)\/(-64)). What is j rounded to the nearest one hundred thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 22*w = n - 3, 2*n = w - 12. Solve -5*h = -w*h + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15299931?\nAnswer: 3, 5099977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 0 + 2*w + 12 + 0*w + 3. What is the remainder when 342 is divided by m(17)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -665*m + 583*m - 656 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-10))\/((a**(-20)\/a)\/a*a))**(8\/13) assuming a is positive.\nAnswer: a**(96\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 98365599*t**2 - 12101273.\nAnswer: 196731198*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 114*t + 172*t + 1716 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 4*r + 90 = 0, -u - 64*r + 69*r = -80 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 15\/5117?\nAnswer: 15\/5117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + (sqrt(156) - sqrt(156)*-4)\/sqrt(12) + -4 + 3)**2*-2.\nAnswer: 80*sqrt(13) + 682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3)*n**(-10)*n)\/(n**(-2\/41)*n*n\/(n\/(n*n**(3\/7)))*n*n) assuming n is positive.\nAnswer: n**(-12094\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 minus -576?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from nnynuxnyynynyn.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 13 + 24 = 0. Let y = -9 - z. Suppose 0 = 3*u - 2*v - 0*v - y, -5*u + v = -35. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 64 - 135 - v + 74 in the form j*v + m and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 447894.2 weeks?\nAnswer: 270886412160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -5) + 4 + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*v**3 - 179*v**3 - 129*v**3.\nAnswer: -238*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1450\/431 or 3?\nAnswer: 1450\/431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-110))\/(8\/(-10)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 154 + 983?\nAnswer: b17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2122*o**3 - 2*o**2 + 357*o.\nAnswer: -12732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5155 (base 9) to base 10\nAnswer: 3776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.6 and 4209280.\nAnswer: -6734848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1.2, 280, 3, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*k = 14*k - 384. Let r(o) = o**3 - 8*o**2 + o. Let s be r(8). Let t be ((-44)\/s - 2)*k\/(-6). Which is bigger: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 920*g**2 - 40 + 918*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1034? (a) -1\/5 (b) 0 (c) -2\/1239\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87 - -92. Let p(l) = 2*l - 13 + 6 + 0 - j*l. Determine p(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + f - 10 = 0, 0*j - 2*j = f - 4. Let n(l) = 2*l**3 - 4*l**2 + 2*l + 2. Calculate the remainder when n(2) is divided by (0 - 1) + 10\/j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 178.547 * -5\nAnswer: -892.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -15, 0, 4.\nAnswer: -15, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = g, n + 3*g = 5*n + 6. Suppose n*t = 5*t + 10. Sort 4, t, 1.\nAnswer: t, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3 - (-129)\/(-8)) + 2 and 47\/(-20) - 2\/(-8).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49 and 70?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + 14. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.104? (a) 0.26 (b) 0.5 (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -22.5. Let d = -1.5 + h. Let m = 0.01 + 0.99. Which is the third smallest value? (a) d (b) -0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b - b + 0*b + 2 + 0 + 1. Let w(z) = 2*z - 2. What is 3*l(j) + 2*w(j)?\nAnswer: -2*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - q - q)*(5*q**3 + 5*q**4 - 5*q**3).\nAnswer: -10*q**5 - 10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7585 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5823347758 to the nearest integer?\nAnswer: 76311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 15) to base 11\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**3 - 4*a**2 - 3*a + 3. Let q be o(-2). What is the remainder when 393\/q + (-4)\/34 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 3*d + 9, -12 = 4*d - 0*d. Suppose f = 4*v - 16, 4*j + 3*v - 82 = 130. What is the least common multiple of 2 and j?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -10*h + 64. Let u(y) = -3*y + 21. Calculate 2*f(b) - 7*u(b).\nAnswer: b - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s - 25664 = -52*s. Let n = -772 + s. What is the smallest common multiple of 2 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 8 = 0, 7*p - 8*p = -5*w + 4617. Suppose -a + w = 252. What are the prime factors of a?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 7:19 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1065977?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 4*n**2 + 3. Let m be i(-4). Let h be 35\/10*4\/7. Solve -m*o + h*o - 3 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57836, 115663, 173490, 231317?\nAnswer: 289144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 98.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, a: 2}. What is prob of picking 1 a and 1 j?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -36, 2\/13?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 0, -0.4, 1\/2, 0.05 in descending order.\nAnswer: 30, 1\/2, 0.05, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2 + q - 9. Let s = -7 - -10. Let w(t) = -5*t**2 + 2*t - 19. Let h(l) = s*w(l) - 7*n(l). Give h(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 less than 2\/607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 14, -1 in increasing order.\nAnswer: -1, -2\/15, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 294493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 y when four letters picked without replacement from {y: 1, c: 1, m: 1, n: 1, h: 8}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c + 3*s = 9*c - 21, -4*c + 4*s = 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * 990.\nAnswer: -9900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = z - 240. Suppose 0 = -3*v - v - z. Let k be (-69)\/v - (-4)\/10. Calculate the highest common divisor of k and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4) - ((-42)\/(-8) - 5). Suppose n = 26*j + 59646 - 211330. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18628 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by -1177\nAnswer: 38\/1177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*p + 6, 0 = 4*p + 3*g - g + 6. Let k = 22 + -23. Which is greater: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/4)\/(-2) - 3. Let a = x - -7. Solve 0*c - a*c = 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -8 - (3 - (-1 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*w**3 + 12*w + 122*w**3 + 2 + 122*w**3 - w - 11*w.\nAnswer: -3*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 5, -18, 3 in increasing order.\nAnswer: -18, -4, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 4343*k + 43359. Calculate s(-10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1005 and 402?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6\/629 + -11292\/3145. Find the common denominator of p and 87\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) + sqrt(90) + -5*(sqrt(90) - sqrt(90)*2))\/(sqrt(125)*3))\/(-3*sqrt(384) + -2*sqrt(120)\/sqrt(5)).\nAnswer: -sqrt(3)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**3 - 35*s**2 + 18*s - 90. Let a be o(-17). Which is bigger: -684 or a?\nAnswer: -684","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 13. Let a be w(12). Let d be (-171)\/(-36) + a\/4. What is the remainder when 58 is divided by 135\/d - -3*1?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 3*g**2 - 14. What is the lowest common multiple of x(-4) and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.41077 weeks to hours.\nAnswer: 1245.00936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75783 and 1866.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b, 60 + 408 = 2*k + 5*b. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2 - 5*f + 3*f + 0. Suppose 0 = -2*p + 3*k - 5, -2*k - 3*k = 4*p - 23. Let m(u) = u + 1 - 2*u + p*u. Calculate m(c) + o(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 7*k. Let u be x(8). Suppose 2*t - 16 = 6*t. Let b = t + 16. Calculate the highest common divisor of u and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(11) + (1*sqrt(275))**2)) + sqrt(275)*1)*6 - -1*((2*sqrt(77) + sqrt(77))*-3 - sqrt(77))\/(sqrt(700)*-2 + sqrt(700)).\nAnswer: -1650 + 31*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 k, and 1 e when four letters picked without replacement from rppyryepryeiypyekrke.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -7. Let y be 3*(2 - j\/6). What is the units digit of 1\/y*-1*-14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 1423017?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 158631168 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 447670982?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*g + 3*w - 26, -4*w = 2*g - 28. What is the lowest common multiple of g and 1 + (6 - 3) + -1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -210, -207, -204, -201, -198?\n\"Answer: 3*l - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20353.32ms to nanoseconds.\nAnswer: 20353320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -1. Let w = m - 3.999997. What is w rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**3 + 2*r**2 - 2. Suppose -5*j = p + 27, 4*p + j = 4*j + 7. Let q(v) = -154*v**3 - 63*v**2 + 63. Calculate p*q(b) - 63*y(b).\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u**3 + 26*u**2 + 26*u**2 - 102*u**2 + 22*u**2 + 28*u**2 - 14*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -1. Let s be 10*(-10)\/(-75) - ((-130)\/15)\/(-2). Let k(g) = g + 23. Calculate s*o(h) - k(h).\nAnswer: -h - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 3*r - 80. Calculate the least common multiple of r and 15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 + 96*c + 632. Give u(-9).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14170425?\nAnswer: 3, 5, 188939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 4:06 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 265*o - 30. Let q be s(15). Is q\/2 + (-1)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**(-6\/31)*l**(-10)\/(l*l**(-2)*l) assuming l is positive.\nAnswer: l**(-322\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -1)\/((-8)\/20). Let f be (-34)\/(-10) - 2\/p. Calculate the highest common divisor of f and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220123, 440232, 660379, 880570, 1100811, 1321108, 1541467, 1761894?\nAnswer: 1982395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(68) + 1 + sqrt(68) + 3 + 2*sqrt(68).\nAnswer: 2 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -113 and -5999094?\nAnswer: 5998981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2048 a factor of 2391982344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87.86 + -88. Which is the third smallest value? (a) 2 (b) 0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 255532, -4, 2 in descending order.\nAnswer: 255532, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, p: 3, k: 2}. What is prob of sequence cc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 14925 + 26273 = -2*u, 4*i - u - 41191 = 0. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 90*b + 375, k + 38 - 15 = -5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (0 + 3) - -20) + (-928 - -920).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 257.2535m?\nAnswer: 25725.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 82\/3. What is the nearest to -0.1 in g, 4\/7, 1\/6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7260.1 rounded to the nearest one hundred?\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 7*v**2 + v - 7. Suppose k - 3 = 2. Suppose 2*z - k*z + 21 = 0. Let p be n(z). Solve 2*c - 13 = m - 0, p = -5*m + c - 20 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a + 6 + a**3 - 12 + a - 4*a**2 - 2*a**3. Let l be z(-4). Determine j so that 4*j - 3*j**2 + 2*j**l + 3*j**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*o - 1)*(-4 + 0 + 2) + 17*o - 29*o + 18*o + (2*o + 2 - 2)*(-2 + 0 + 3) - 2 + o + 2 + o - 2 + 2.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/3 + 4\/(-6). Let n = 85943\/7 + -12122. Let t = n + -156. Which is smaller: u or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 39.22729.\nAnswer: -38.92729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16656 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 865.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2170\/930 - (0 - (-4)\/(13 + -1)). Suppose 44\/5*z + 4\/5*z**l + 72\/5 = 0. Calculate z.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 73 and -52047.\nAnswer: -3799431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - 0. Let o(z) = -z**3 - 2*z**2 + z + 1. Let j be o(-3). Let v = s + j. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 7*(16 + (-450)\/27)*(-24)\/21?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + -6*-1*sqrt(152) + sqrt(152)*1*3)*4)\/(5*(sqrt(8) + (2*sqrt(32))\/sqrt(4) + -5*(sqrt(8)*-1 - sqrt(8)))).\nAnswer: 8*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 4. Let s be u(-6). Let n(k) = -k + 1. Let p(c) be the second derivative of -c**3\/2 + c**2 + 2*c. Determine s*p(j) - 4*n(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 + 70. Suppose r = -4*m + 99 - 15. Let s = m + 6. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, y: 1, t: 1, p: 1, l: 1}. What is prob of sequence ny?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 5 - 7 = -3*j, 0 = q - 2*j + 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.933772696 rounded to 2 dps?\nAnswer: 4.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-4) + (-37915)\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 322 - 321.75. Let w = 0.25 - c. Put -2\/15, 5, w in descending order.\nAnswer: 5, w, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 3. Determine b(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 5:46 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**5\/4 + 13*c**4.\nAnswer: -c**4*(c - 52)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 30, 0.3, 0.64, -101, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, p: 1, j: 3, r: 3, i: 1, g: 1}. What is prob of sequence ir?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2989 is divided by 73?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 4 + -1 + 7 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 5*g + 88, -223*x + 434*x - 221*x + 5*g + 190 = 0 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2223, 100, -2.\nAnswer: -2223, -3, -2, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 16.9. Let q = 1 + b. Is q at least as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from bbbvbbuumuvbbjo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 94, 68, -8, -158, -406, -776?\n\"Answer: -4*o**3 - o**2 + 5*o + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*h - 15*h - 17*h - 14*h)*(-4 + 1 - 8) as n*h + s and give n.\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 4*r - 45 = 0, -2*c - 2*r = 127 - 117 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9156*z**3 + 16204.\nAnswer: -27468*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 (base 10) in base 13?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -84584293 + -0.128\nAnswer: -84584293.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.068 - 30.068. Let z = m - -30. What is the second biggest value in 10, z, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 * -19385.\nAnswer: 600935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**4\/22 + 4*s**3\/33 + 20*s**2\/11 + 48*s\/11 - 97. What is l in v(l) = 0?\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/63 of a week in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15261 is divided by 388?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -23, -33, -43, -53?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - d = 4, -340*d + 337*d - 12 = -6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 0.03942.\nAnswer: 1.03942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6624 is divided by 461?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 618 and 103\/((-9 - -10)\/(1*(3 - -2)))?\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 195179, 390130, 585081, 780032, 974983?\n\"Answer: 194951*g + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*t = 60, 3*t = 2*z - 1 - 3. Let k be (-8)\/(-4) + 28 + 6\/3. Calculate the greatest common divisor of z and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42441 and 18950917.\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -2a0a?\nAnswer: 2a07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -163, -193, -237, -289, -343?\n\"Answer: l**3 - 13*l**2 + 2*l - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86959, 2, 5\/2, 0.4.\nAnswer: 0.4, 2, 5\/2, 86959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 3*v + 2. Let u be j(-4). Let i = -5 - -10. What is the third derivative of 5*q**i + q**2 - 5*q**5 + q**u wrt q?\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 5)*(-3 - -2). Let n(y) = -y**3 - 5*y**2 + 2*y + 4. Let h be n(w). What is the tens digit of h\/(-3) - 2 - -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043289109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1) + (121 - 131).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14261 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 76293.44 meters in millimeters?\nAnswer: 76293440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 90\/1*(-7)\/28*-6. Suppose -10*m = 5*m - t. Solve 6 = -5*c - m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-65)\/5*(-216)\/117. Solve 143*z - 155*z = d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 729946.2 centuries?\nAnswer: 72994620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*f)*((-1 + 0 + 3)*(-2 - 1 + 4) + 1 - 6 + 26)*(11*f**4 + 2*f**4 + 8*f**4).\nAnswer: -1449*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 - 13*g + 10. Let u(f) = -3*f**2 + 25*f - 20. Let j(i) = 3*u(i) + 5*z(i). Let t be j(-11). Suppose 0 = -6*s + 23 + t. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.19 - 13.99. Let u = 13.7999778 + z. What is u rounded to 6 dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -5*p**3\/6 - p. What is the units digit of o(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - 2*v + v)*(5 - 2 - 2) - 5 + 27*v + 5 + (1 - 2 - 2*v + 0)*(4 + 3 - 5) + 9*v - 6 - 11*v + 3 to the form p*v + d and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1959 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86 - 67. Let y = -92264000.9999885 - -92264020. Let k = y - p. Round k to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j\/j**5))\/(j\/(j**(-2\/11)\/j)))\/(j**(-1))**(-38)*(j**(1\/9)*j*j*((j\/(j**5*j))\/j)\/j*j)**(2\/85) assuming j is positive.\nAnswer: j**(-59365\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 + -28. Let z(q) = -3*q - 3. Let y be z(-8). Let v be (-1)\/y*(-14)\/(-7). Which is the second biggest value? (a) -1 (b) v (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r + 17*r = -77753. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -97*u**2. Let s(b) = -4490*b**2 + 14*b. Determine s(r(l)).\nAnswer: -42246410*l**4 - 1358*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20 - bc9d?\nAnswer: -bcbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**4\/27 + 125*g**3\/27 + 62*g**2\/9 - 270*g + 297. Let f(c) be the first derivative of a(c). Factor f(j).\nAnswer: 2*(j + 62)*(2*j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 397738 or 397740?\nAnswer: 397738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*-4*(-1)\/6. Calculate the common denominator of (g - -1)\/(4\/(-82)) and 143\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4739 + 63*z**3 - 4739.\nAnswer: 63*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 684787?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence clla when four letters picked without replacement from ccpppcaaalpppaall.\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 - 2)\/3*-1. Find the third derivative of 1 - 10*t**3 - 7*t**2 + 4*t**h - 1 wrt t.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -1 - 16*t + 6 + 14*t. What is s(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11342.9 - 11343.4. Let n = 8 + -7.2. Which is the biggest value? (a) n (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-717.\nAnswer: -1434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137 + 333*r - 15 - 343*r + 152.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 397, 396, 395, 394, 393, 392?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -209 + 210. Is 7 a factor of m*9\/(9\/35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = -h. Let w(r) = 2 + 2*r**3 - 8*r**2 + 1 - h*r**3 + 0*r + 7*r. Let a be w(-9). Calculate the greatest common factor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 713.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tct. What is prob of sequence tt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599 is divided by (-33)\/(4488\/(-119))*48\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 75*k**4 - 33840*k**3 + 172164*k**2 + 792864*k - 342528 = 0.\nAnswer: -16\/5, 2\/5, 8, 446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -32020473\/4 greater than -8005119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39923 by 366.\nAnswer: -39923\/366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 6*(-2 + sqrt(68)))*4)**2.\nAnswer: -3840*sqrt(17) + 40768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -83 + 77 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = 2*h - 83, 0*h = d - 3*h for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5 and -0.48.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 62438402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15661974 and -16?\nAnswer: 15661958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (0 - (14 + -7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.07 - 0.93. What is the closest to 1\/4 in 1\/8, d, -1\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6068987 + -6068987.09299923. Let i = a - -0.093. Round i to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -12*d**2 + 11*d - 21. Let x(c) = -6*c**2 + 5*c - 11. Let g(p) = 6*u(p) - 13*x(p). Let y be g(-12). Suppose -y + 126 = -f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(117) + 4*(sqrt(117) - sqrt(117)*2) - (sqrt(117) - (sqrt(117) - sqrt(117)*-1*4))))\/(((sqrt(576) - sqrt(576)*-1)*-5 - sqrt(576))*-3).\nAnswer: -sqrt(13)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3862387267 and 1216?\nAnswer: 1215.6137612733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -110887 times 495\nAnswer: -54889065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 11:23 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55189497?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (54\/63)\/(4\/14). Suppose 6*x - 2*k - 22 = o*x, 2*x - 5*k - 22 = 0. Calculate the least common multiple of 22 and x.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (5*sqrt(52) - sqrt(13) - -2*(-1 + sqrt(13) + sqrt(13)))*5)**2.\nAnswer: -1430*sqrt(13) + 55046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-1) + 5 + -1. Let d(o) = -44*o**2 - 3*o - 62*o**2 + 0 - 5 + o**3 + 103*o**2. Calculate d(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-6)*4)\/((-8)\/(-48))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 0 - 1\/5*l**3 - 1\/5*l**2 + 1\/5*l + 1\/5*l**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**3 - 30*g**3 - g**2 + 0*g**2 - 2*g**4 in the form y*g + d + k*g**4 + v*g**2 + p*g**3 and give p.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 + 2545 = 3*m. Suppose -9*p = -m - 451. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (-1725)\/200 - 21)\/((-7)\/1008)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 m, 1 f, and 1 q when four letters picked without replacement from {h: 1, m: 2, f: 1, q: 2, l: 2, j: 1}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18877 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -14. Suppose -o*u = -7*u - 4. Sort 0, 4, u in decreasing order.\nAnswer: 4, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13741235?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9452, -9151, -8332, -6731, -4084, -127, 5404?\n\"Answer: 44*l**3 - 5*l**2 + 8*l - 9499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 760444*g + 760447*g + 760444*g - 2281335*g - 5*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -114*w - 398. What is the remainder when 700 is divided by d(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1869*k**5 + 87*k**5 - 21 - 667*k + 20 wrt k?\nAnswer: 39120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d**3 + 22325*d**2 - 7420*d - 29760 = 0. Calculate d.\nAnswer: -1, 4\/3, 1488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -45, -60, -51, -6, 87, 240, 465?\n\"Answer: 2*y**3 - 29*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 117, 89, -9, -213, -559, -1083?\n\"Answer: -6*a**3 + a**2 + 11*a + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -625 less than -4578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/((-84)\/(-729))*(-16)\/(-6). Let g = 164 + i. Solve -g*x + 13 = 19 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/3 + 1445*c**3 - 1862437*c**2 + 967415381*c\/3 + 517689088356.\nAnswer: -(c - 1577)**3*(c + 396)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 5554*x**2 + 430768*x + 8239464.\nAnswer: -2*(x - 2853)*(x + 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/5 and (-1)\/(-2) + (-438)\/(-108).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from {u: 2, f: 1, h: 1, x: 7, i: 2, p: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 145 - 69 - 76 + o. Let y(t) be the third derivative of 5*t**4\/2 + 16*t**2. Let c(a) = a. Let z(r) = 40*c(r) - y(r). Calculate z(u(m)).\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (14232 - 530*c**2 - 14232)*(-5*c**2 + c**2 + 2*c**2 + (-c + 0*c + 0*c)*(2 - 4*c - 2)) in the form s*c**3 + l + t*c**2 + u*c**4 + o*c and give u.\nAnswer: -1060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-10) - 4\/20. Suppose 0 = 5*t - t. Suppose t = 2*l + l. Which is bigger: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + ((-6)\/3 - 4). Let l(d) = -d**2 - 6*d + 8. Let w be l(k). Solve -7*m + w = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703701000.\nAnswer: 2, 3, 5, 67, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11071424 divided by 208\nAnswer: -53228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**2 + 4*y - 8. Calculate the remainder when 170 is divided by a(5).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2443942 is divided by 222176.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y**2. Let h(m) = 4 + 2*m**2 - 4 + 0. Let v(w) = 13*h(w) + 6*z(w). Let r(u) = -u. Give v(r(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = z - 10, m + 6 = -m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*l + 1, 0 = 2*m - 4*m + 5*l - 7. Let g = m + 103. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c + c = 2924. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 8:15 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17811953 and 239.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*((sqrt(2299) - -3*sqrt(2299)) + 0))**2*-2.\nAnswer: 2648448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 4. Let o(y) = 1. Let d(r) = c(r) + 4*o(r). Let l(j) = 2*j + 5*j**2 - 2*j - 3*j**2 - 7*j**2. Calculate l(d(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/27 and -89\/540?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**3 + 4*c**2 - 13*c + 65. Determine a(5).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*q - 1717574*h + 37533*q wrt q.\nAnswer: 2*h + 37533","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -13. Let w be ((-2)\/u)\/((-2)\/10). Suppose -5*x = -2*i - i - 17, -4*x - 8 = 3*i. Sort w, 3, x.\nAnswer: x, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78 by 9.\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 4*m**2 + 2. Let a be h(-4). Let p(u) = u**3 - 5*u**2 + 4. Let t be p(5). Solve b + 4*b**a - b - 7*b**2 + 3*b**t = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*l - 86461 - 18769 = 0, -263071 = -5*v - 3*l. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**5\/3 - 38*f**4\/3 - 122*f**3 - 82*f**2\/3 + 3364*f\/3 + 1040 = 0.\nAnswer: -5, -4, -1, 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 152.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 202 and 25983866.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbbmbb. What is prob of sequence bmb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 5.5, -66, 479\/5?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/7)\/(22\/(-77)). Is p bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4290892.\nAnswer: 2, 97, 11059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100101110100 + 11001?\nAnswer: 1100110001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 2*s - 1. Let r(b) = 5*b**2 - 9*b - 5. Let q(v) = v**2. Let d(y) = q(y) - r(y). Let n(m) = -2*d(m) - 9*w(m). Differentiate n(j) wrt j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*w - 291 + 142 - 166 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 10 = 5*i, -15*b + 10*b = -10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4.4 - 0.09015\nAnswer: -4.49015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 412 - 233. Suppose -2*a - a - 108 = 5*i, -4*a + 5*i = k. Calculate the common denominator of -2 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 h when two letters picked without replacement from hhyyhhbhhh?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.01 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7538 is divided by 87?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.044 rounded to 2 decimal places?\nAnswer: 7.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q + 47. Let g be y(-12). Suppose -13*r - 49630 = -g*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*w - 17 - 3, 3*u + 12 = w. Is w greater than or equal to 4\/153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6194441 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021 - 22110220221101?\nAnswer: -22110220222122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 15 (b) -1\/17 (c) 0.254\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2\/5 - 2202532*b - 1515983503445.\nAnswer: -(2*b + 2753165)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4117250 to the power of 1\/3, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 3986790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8302748.\nAnswer: 2, 109, 137, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a588 (base 15) in base 4?\nAnswer: 1102231001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -37, -2, 250 in decreasing order.\nAnswer: 250, -1, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.0590307*-0.045\nAnswer: 0.0026563815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 2*o - 2. Let w(y) = 2*y**2 - 58*y - 416. Let n(a) = 4*k(a) + w(a). Find the first derivative of n(p) wrt p.\nAnswer: -4*p - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**2\/5 + 1638*h\/5 + 1641\/5 = 0. Calculate h.\nAnswer: -1, 547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 22 + -16?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*((sqrt(3328) - 6*(sqrt(3328) + -1)) + -4 + sqrt(832)*2 + sqrt(832))**2.\nAnswer: -224*sqrt(13) + 40771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.4 (c) -87 (d) -2 (e) 0.5 (f) 23.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0 = 4*q - 4, 16 = 4*q - 2*h. Let t = -8.718 - -9.218. Which is the smallest value? (a) -6 (b) q (c) t (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + 200 + -164?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430*l = 55*l + 15*l + 4500 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/76921 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**4\/12 - 7*d**3\/6 - 41*d**2\/2 + 13*d + 1. Let u(r) = 7*r - 1. Calculate the remainder when h(13) is divided by u(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 110060 to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/(-10))\/(3\/(-4)). Let b(u) = u**3 + 11*u**2 + 9*u - 12. Let w be b(-10). Let h be (1 + m - w) + 2. Put -5, -4, h in descending order.\nAnswer: h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v. Let u(l) = -127*l + 1. Calculate d(u(s)).\nAnswer: -254*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 0, -5*l = 3*v + 35 - 160. Suppose -90 = s + l. Let a = -66 - s. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -16*h + 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67823358?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 9:02 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3456437*g**4 + g**2 - 161*g - 74?\nAnswer: 82954488*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 100\/7 - 1142\/77. Let o = 7\/33 + h. What is the biggest value in o, -0.2, 2, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4872288258 to the power of 1\/3, to the nearest integer?\nAnswer: 1695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2873*k**2 + 137901*k - 125. What is r(-48)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4227420, 4227421, 4227422?\n\"Answer: b + 4227419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28469989\/7 or 4067140?\nAnswer: 4067140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 4*r**2 + 6*r + 5. Suppose -3*t + 4*t + c + 9 = 0, -t + 2*c = -3. Let u be a(t). Let h = -242 - -963\/4. Which is greater: h or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven quarters of a hour?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**2 + 2 - 41*j**3 + 6*j**2 + 82*j - 79*j. Let h be d(-1). Let g be (-31)\/(-5) + (-1)\/5. What is the highest common divisor of h and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + s**2 + 0*s)*(s**3 - 5*s**3 + 5*s**3) - 8*s**5 + 17*s**5 - 12*s**5.\nAnswer: -2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -82679*u**4 - 61*u**2 + 13969199.\nAnswer: -330716*u**3 - 122*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*y**3 + 0 - 7\/3*y**2 + 10\/3*y.\nAnswer: y*(y - 5)*(y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkkrkkkrrkkkrkkrkrrr. Give prob of sequence rkkr.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*x + 1113*x**2 + 94*x + 38*x + 111*x - 1120*x**2.\nAnswer: -7*x**2 + 279*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7))**6*(n**1\/n)**(-17\/4) assuming n is positive.\nAnswer: n**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31534730243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3530, 11, -125 in descending order.\nAnswer: 11, -2, -125, -3530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000140836 rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99904 + -58998. What is the ten thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*l = -12, -l + 4 + 0 = 0. What is the smallest common multiple of y and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 81274537 or -3\/4?\nAnswer: 81274537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1109.43345 - -0.06655. Round r to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 459.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -32178, -31321, -30468, -29619, -28774, -27933, -27096?\n\"Answer: -2*l**2 + 863*l - 33039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 10*v**2 + 146*v + 1335. Let j be f(-8). Solve -j*d = 44 + 112 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -312400 - -3?\nAnswer: -312364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**5\/10 - 5*r**4\/24 - 7*r**3\/6 - 14*r**2. Let c be j(7). Calculate the greatest common factor of 36 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*d + 4*v, -v - 3*v = 2*d. Suppose -d*r + 58 = -0*p + 2*p, 35 = 2*r - p. What is the smallest common multiple of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 710 = -3*a + u + 689, 4*a - 18*u - 22 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3eb + -57?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.242114 rounded to the nearest integer?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k - 3. What is c(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5432071376.\nAnswer: 2, 4919, 69019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4103121 - -102?\nAnswer: 4103223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 15*i + 8*i - 26*i + 42*i + 60. Let a be o(-7). Do a and -212 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**2 + 372*v - 4*v**2 + v**2 - 1 - 360*v. Calculate p(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 1. Let f(r) = r**3 + 10*r**2 + 13*r + 14. Let v(y) = -f(y) - 2*u(y). Let p be v(-11). Which is the closest to -1\/5? (a) 1 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 1 + 1)*(-4*z + 2*z - 3*z) + (-1 - 1 + 0)*(-z**2 + z**2 + z**2).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 4, -1\/6, 2\/309?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 57\/38*(-130)\/3. Let j = -58 - u. Calculate the remainder when 256 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 12.24. Let p = 0.04 + t. Let q = p + 0. What is the third smallest value in -5, q, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 7*k + 3*k)*(-3*k**2 - 3*k + 3*k) + 5*k**3 - 17*k**2 + 17*k**2.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-18)\/(-80))\/(-1))\/(72\/(-120)). Let r = -15\/2 - -41\/6. What is the third biggest value in r, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10, -18, -70, -152, -270?\n\"Answer: -m**3 - 6*m**2 - 3*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/105 + 8\/(-60). Let l(f) = 13*f + 11. Let o be l(m). Solve -3*g = 2 - o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 + 44. What is the closest to t in 4, -1, -4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 172, 201, 248, 313?\n\"Answer: 9*m**2 + 2*m + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1664\/5 + 333. Let g be ((-6)\/(-8))\/(-5 + 2). Put i, g, 4\/7 in ascending order.\nAnswer: g, i, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0401 + 324.0401. Let v = -319 + y. Let w = 12.1 - 12. Which is the smallest value? (a) 1 (b) -4 (c) w (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5152 and 289696?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2469 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6794*u - 116044. Give t(-17).\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -90a - -61a0a?\nAnswer: 61100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -1313 + 5*t**3 + 1319 - 3*t**3 - t**3 - t + 3*t**2 - 2*t**4 as r*t + d*t**3 + s + h*t**4 + y*t**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4*4)\/((-104)\/(11960\/115)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 1\/12*w**4 + 71\/2*w**3 + 0*w + 192*w**2 + 49\/60*w**5 + 0. Differentiate p(o) with respect to o.\nAnswer: 98*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - w - 15, 5*v - 361 = 3*w. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 6. Let y(d) = -60*d + 340. Let s(j) = 15*j - 85. Suppose 45 = 3*u + 165. Let q = u - -25. Let v(z) = q*s(z) - 4*y(z). What is 6*v(b) - 85*x(b)?\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -17. Let l = 10 - k. Are l and -7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.811 - -1.111. What is the nearest to 0.7 in -11, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/8000 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**4\/4 - 10*b**3\/3 - 5*b**2\/2 - 15*b - 14. Let p be i(-8). Let r = p - -118. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 851 - -8689. What is r rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574486 is divided by 632.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/15)\/(1\/(-3)). Let y = p - -1. Let b be (-10)\/5 - y*-1. Solve b = 2*h + 10, -2*g - 22 = -g + 5*h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1881600 rounded to the nearest 10000?\nAnswer: 1880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t**2 + 7*t**2 - 6*t**2.\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**5 + 20*l**4 - 30*l**3 - 20*l**2 + 25*l.\nAnswer: 5*l*(l - 1)**2*(l + 1)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5\/6 - 2*f**4\/3 - 2*f**3\/3.\nAnswer: -f**3*(f + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 13 - 24 = -4*k, -5*f = -2*k + 31 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2569251?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/4)*y**(-8))\/(y**(-9)*y**(-10)) assuming y is positive.\nAnswer: y**(43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -340831080 to the nearest 1000000.\nAnswer: -341000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2584)\/1995)\/(-68)*14\/(-6).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 26*g - 23*g - 5064 = 0. What is the remainder when g is divided by 149?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 181 - 129. Let d = 55 - l. Suppose 0*n - n - x = -3, -2*x = n - d. Are n and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 292 = -w. Let q(h) = -117*h + 15. Let c be q(1). Let b = w - c. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 60 = 44. Let h be 9*((-320)\/(-12))\/b. Calculate the greatest common factor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 10*f + 70 = 5*c, 0 = -5*c + f + 70. Let m = 86 - -12. Let w = m + -59. Calculate the remainder when w is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -115*z - 16. Let j be m(-1). Solve 33*p**5 - 12 - j*p**2 - 2*p**5 + 72*p + 99*p**4 - 57*p**3 - 58*p**5 = 0.\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -7. Let p be 1\/((z - 0)\/(-2)). What is the units digit of -2*1*p - -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22\/5, -3\/2, -4 in descending order.\nAnswer: -3\/2, -4, -22\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 4, i: 1, x: 3, f: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 + 6*t - 4. Let s(j) = j - 1. Let x(c) = -6*s(c) + v(c). Let q = -77 - -74. Let d be -1 - (q - (-1 + -4)). Give x(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2.80864nm?\nAnswer: 0.00280864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 + 42 + 7 + (1 - 0) - 7?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3926 - -0.1074. Let r = 6.7 - 6.7. Which is the second smallest value? (a) 4 (b) q (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 12) to base 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + 11)\/(9 + -8). Calculate the common denominator of (-791)\/154 - y\/(-33) and -3\/458.\nAnswer: 5038","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 2*z + 30 = 22*i, i = 2*z. Let d(t) = 29*t - 177. Give d(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -455220745 and -0.01316.\nAnswer: -455220745.01316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 140 - 138. Suppose j = 2*a - 4*a. Let u(n) = n**3 + 1. Let h(l) = -7*l**3 - l - 3. Let s(p) = a*h(p) - 3*u(p). Determine s(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 51 - 250 = 0. Suppose t - 20 = 2. Let i = b - t. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -428.7 + 428.7. What is the closest to 1 in c, -2\/27, -7\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.2 and -8?\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 41 - 10*k**2 + 11*k**2 + 11 to u*k + o + q*k**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2)\/f)\/f**(-2)*f**(-2\/5)*f*((f*f**(-11)*f)\/f)\/f*f assuming f is positive.\nAnswer: f**(-89\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*h - 472 = 0, 713 = l - 3*h + 185. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**29*n*n**(-2\/79) assuming n is positive.\nAnswer: n**(2368\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 247833?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/(-44))\/(1875\/(-6875)))\/((-3)\/162*3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 1:57 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3126568.2 hours to weeks.\nAnswer: 18610.525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - (-2 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1285528770?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 + 79. Suppose q = 6*h - 16. List the prime factors of 26\/h*(1 - 4\/(-8)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + p - 1. Let v be c(3). Let k(m) = m**3 + 6*m**2 - 7*m - 4. Let q be k(v). Put -2\/3, q, 1 in descending order.\nAnswer: 1, -2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 150*h - 108 = 81*h + 77*h, 2*h - 176 = 6*b for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 178 - 142. Let b = 33 - o. What is the second biggest value in b, -5, 4\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**2 - 10*u + 10. Let d(s) = s**2 + 5*s - 7. Let i be d(-5). Let a(k) = -2*k**2 + 7*k - 7. Give i*a(q) - 5*r(q).\nAnswer: -q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -215*l - 109 - 108 + 319 - 102 to the form x*l + v and give x.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 + 84.172?\nAnswer: 296.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*y + 148 = -5*r - 117*y, -y + 54 = -4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -506*x**4 - 776*x wrt x?\nAnswer: -6072*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 3*r - 1745847 - 2059168, -760975 = -y + 5*r. Round y to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -d + 3*g + 285, 0 = -3*d - 4*g + 851. Let v = d - 449. Round v to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(99)\/(sqrt(18)\/sqrt(2)) - (sqrt(11) + sqrt(11)*2 + 5))**2.\nAnswer: 30*sqrt(11) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0031796 rounded to 4 dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -10, 4*s - h + 23 = -4*h. Suppose 2*x = 3*x + 12. Is 14 a factor of (-382)\/(-12) + s\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 988.6257 grams to micrograms.\nAnswer: 988625700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 9:53 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -395 + 398. Let m(i) be the second derivative of 0*i**2 + 1\/6*i**3 + 0 - 1\/12*i**4 + s*i. What is the second derivative of m(l) wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0799 and 2.\nAnswer: -0.1598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 27957347*j + 3 - 4.\nAnswer: -27957347*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -134327, -134344, -134361, -134378?\n\"Answer: -17*s - 134310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b - -a22?\nAnswer: a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eekkzekze. Give prob of picking 2 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 8*o = 0. Let i = 3 + o. Suppose i*u + 3240 = 2*k - 7*k, -2*u + k - 2160 = 0. Round u to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9611053 by -1.\nAnswer: 9611053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21855339*s*t - 289559*s - 2*t + 16 wrt t?\nAnswer: -21855339*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**2 - 64353507*o - 128707026 = 0?\nAnswer: -2, 21451171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 95*s**2 - s - 11. Let p(c) = 190*c**2 - 3*c - 28. Calculate -5*k(x) + 2*p(x).\nAnswer: -95*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -357 + 352. Let k be 70\/28*(-2)\/(-20). Which is the third biggest value? (a) k (b) -10 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.1 - -2.1. Which is the biggest value? (a) k (b) 0.4 (c) -0.5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*i - 24 - 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/3 and -1015625\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11, -5, 17, 61, 133, 239, 385?\n\"Answer: d**3 + 2*d**2 - 7*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*d**3*i**4 + 2*d**3*i**3 - 57*d**3 with respect to i.\nAnswer: 28*d**3*i**3 + 6*d**3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 482*o**4\/5 + 476*o**3\/5 - 6*o**2\/5.\nAnswer: 2*o**2*(o + 1)*(241*o - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 11:40 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -4*1 - -3. Suppose 0 = -5*o + 2*o + 12. Suppose -2*v = -a*v - o. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348887 is divided by 2037?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 15 = 3*s, 0*s - 6 = s - 2*l. Let h = s - 0. Solve 10 = -2*a - h*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 1\/2, -1010010\/17 in decreasing order.\nAnswer: 1, 1\/2, -3, -1010010\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(12))\/sqrt(2))\/sqrt(2).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - 346455361?\nAnswer: -346455350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 23*r + 2. Let j be u(-1). Let t be 2\/(-7)*j\/12. Is t < -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41 and 656?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15428440 is divided by 1542843?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2 + 109*c - 45. Let n be b(-38). What is the highest common factor of n and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 7, 50 in descending order.\nAnswer: 50, 40, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 72 = 4*q, 0 = 2*q - 5 - 1. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4144 + -4127.9984. Let d = -16 + t. What is d rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-one halves of a micrometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165705303?\nAnswer: 3, 55235101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((-16)\/15 - 8\/(-20)). Solve 3*i + 1 = 5*u, p*u = -2*u - i + 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.43 rounded to 1 dp?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.5, -0.49, 3?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/285 and -19\/11.\nAnswer: 3135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k - 3. What is p(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o. Let c(v) = -136*v**2 + 3*v. Let r(z) = 272*z**2 - 7*z. Let n(s) = -7*c(s) - 3*r(s). Calculate i(n(p)).\nAnswer: -272*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52909 = -11*f - 52733 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.21 - -2.91. Which is the second biggest value? (a) n (b) 7.7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -153.379739 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6509 or -6510?\nAnswer: -6509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -69\/10 not equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (25520\/(-320) - -79)*16\/306\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -38*s. Let o(n) = -5*n + 12. Let p(v) = 6*v - 16. Let r(k) = 4*o(k) + 3*p(k). Calculate y(r(z)).\nAnswer: 76*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 205 and 10?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37929\/2 + 18965. What is the smallest value in 3, 6.24, -0.4, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 169*j**4\/16 + 13*j**3\/2 + 3*j**2\/2 + 3*j - 3. Let q(m) be the first derivative of o(m). Factor q(w).\nAnswer: 3*(13*w + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 51233\nAnswer: 11\/51233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2281 is divided by 751?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.73 and -0.35.\nAnswer: -1.3055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 10 = -5*z, 22*v - 17*v - 49 = -4*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 1, -4, -27, -74, -151?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*h**4 - 9772*h**3 - 47074*h**2 + 53872*h + 3048 = 0 for h.\nAnswer: -127, -6, -2\/37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.38675 + 0.406. What is l rounded to 3 dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 10. Let o be q(15). Let r(p) = 17*p**3 - 20*p**2 + 11*p - 24. Let n(w) = 7*w**3 - 9*w**2 + 5*w - 11. Let u(a) = 5*n(a) - 2*r(a). Calculate u(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/414268 and -65\/12?\nAnswer: 1242804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2448) + (sqrt(2448) - (sqrt(2448) + 4))) + -2*(sqrt(2448) - (sqrt(2448) - sqrt(2448)*3)))**2.\nAnswer: 480*sqrt(17) + 61216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -267*s**3\/2 + 9346*s**2 + 18817*s\/2 - 71 = 0.\nAnswer: -1, 2\/267, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/7 - (-90)\/14. Is (-2 + (-561)\/p)\/((-2)\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -5*j**5\/12 + 85*j**4\/12 - j**3\/6 + 394*j**2. Find the second derivative of o(a) wrt a.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4147\/(-1320))\/29 + (6405\/(-280) - -23).\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476131759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 1:56 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d. Let l be s(4). Let 2*f**2 - 2*f**5 + 5*f**4 + 3*f**4 - 4*f**3 - 2*f**3 - 2*f**l = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 + -1 + -7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 1. Let d(v) = 9. Suppose 213 = 7*y + 199. Determine y*d(q) - 18*s(q).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6805?\nAnswer: 5, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 7*h**2 + 39*h - 148. Let v(f) = -4*f**2 - 23*f + 74. Give -3*b(k) - 5*v(k).\nAnswer: -k**2 - 2*k + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75482.\nAnswer: 2, 11, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*d**2 + 4312915 - 4312915.\nAnswer: 62*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 42, 117, 266, 513, 882?\nAnswer: 1397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1689\/2107 or 0?\nAnswer: -1689\/2107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -29 - 22. Let d(f) = -44*f**2 + 7*f**2 + 11*f - f**2. Let h(k) = -13*k**2 + 4*k. Let t(r) = s*h(r) - 6*d(r). Factor t(i).\nAnswer: i*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 101.4, 2\/5, -1\/4, 0.1, -2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1232 to three dps.\nAnswer: -0.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 8*t**2. Let h(g) = g**3 + 11*g**2 + 10*g. Let j be h(-10). Let d(o) = -2*o + j*o + 5*o. Give d(q(p)).\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 636*n - 129*n + 1969569 = -106*n. Which is greater: -3214 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36098532 divided by -2\nAnswer: -18049266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 6*a**2 + 52*a + 237. Let u be b(-5). Solve -u*i + 23 = 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 + 2 + 4\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4283*o + 4288*o - 2770. Suppose q = 4*f - 17, -2*f + 2*q - 4*q = -16. Suppose 5*n - 36 = z + o, 259 = 2*n - f*z. Is n a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(12\/5))\/(m\/((m*m**16)\/m)*m)*m**(1\/4)*m**(2\/11) assuming m is positive.\nAnswer: m**(2867\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o = 29*o + 4. Suppose 0 = 2*m - o*m + 368. Is m a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5440 - -5448. Calculate the lowest common multiple of c and 528.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -378603a (base 12) in base 4?\nAnswer: -221133102232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)*-1 + sqrt(28) + sqrt(28))*-4 + sqrt(28))\/(sqrt(4)*-4*-2).\nAnswer: -3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5714\/(-6)*-1 + 74\/111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.97 times -0.6?\nAnswer: -1.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 33750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 156 + -235. Let v = t + 131. Let k(w) = -w**3 + 8*w**2 - 9*w. Calculate the remainder when v is divided by k(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 16*l. Let v be t(2). Let s = 71 - v. Suppose 4*y = 5*g - s, 32 = 2*g + 3*g + 3*y. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(10*t - t + 0*t) + (1 + 1 + 0)*(2*t - t + 3*t) as b + w*t and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27639)\/4884 - (3\/33 + -1 + 1).\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((63\/(-7))\/36)\/(1\/2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 - 6*w**3 + 2*w**3 + (2 - 2 + 2*w)*(0*w**2 + 2*w - 2*w**2 - w) in the form f*w**3 + g + l*w + k*w**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 272*b**2 + 264*b**2 - 799*b**2 + 22*b + 262*b**2 - 105. Give p(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -16. Let s = 29 - g. What is the second derivative of s - 4*o - 13 + 4*o**2 wrt o?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 2\/3 (c) 0.04 (d) -5\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -220 or 13109?\nAnswer: -220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a7a0 - 1285?\nAnswer: 29516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.3 + 8.364. Let j = 0.064 - s. Let v = j + 8.8. Round v to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 9:45 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 p when two letters picked without replacement from {j: 1, o: 2, p: 1, k: 9, d: 2, b: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 5. Suppose -y - 3 = -8. Solve y - 15 = i*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-36)\/42)\/(6\/(-28)). Suppose 2*o - q*o = -3*a + 1608, 5*a - 2664 = -2*o. What are the prime factors of a?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (99\/(-11) + 10). Suppose 3*r = 3*a + 24, 28 = 2*r - 3*a - 2*a. Suppose 3*v + v - r*k - 304 = m, -3*v + 232 = -4*k. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248*k + 94507 + 69395 = -71*k. What is the remainder when k is divided by 114?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13260727.45813 and 21?\nAnswer: 13260748.45813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 66363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**8\/840 - k**7\/2520 - k**6\/720 + k**5\/120 + k**4\/3 + 3*k. Let c(j) be the third derivative of a(j). Calculate c(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1.36, 5, 1, 1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 740005159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3037, 3005, 2943, 2845, 2705, 2517, 2275, 1973?\nAnswer: 1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.183 - -1.817. What is the second biggest value in 2\/19, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17636922, 35273843, 52910764, 70547685, 88184606, 105821527?\nAnswer: 123458448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1936075 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 5*p + 4, -2*y + 4*p + 2 = -6. Calculate the common denominator of y + (6 - 142\/78) and -139\/30.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 + (2 - 0)*(-9)\/(-6). Let n(s) = -s**3 - 2*s**2 - 5*s - 16. Let l be n(a). What is the greatest common divisor of 192 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.991822 rounded to one decimal place?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -63, -82, -111, -156, -223, -318, -447?\n\"Answer: -b**3 + b**2 - 15*b - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 20136*d + 20812772.\nAnswer: 4*(d + 1453)*(d + 3581)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*(2 + sqrt(704) + -2))**2.\nAnswer: -50688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**5\/2 - 94473*u**4\/2 + 2231050739*u**3\/2 + 11156859785*u**2\/2 + 8925903528*u + 4463046242 = 0.\nAnswer: -2, -1, 47239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32978573 * -0.3.\nAnswer: -9893571.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -4) + -5 + (-3 - 3). Let k(q) be the second derivative of q**5\/20 + 5*q**4\/6 + 4*q**3\/3 - q**2 - 3*q. What is the units digit of k(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/9)*d*d\/d**(-1\/2))\/(d**(-5)*d*d\/(d\/(d\/(d\/d**(-2\/19)))*d)) assuming d is positive.\nAnswer: d**(2677\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/7*66\/33*42\/12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 81 = -4. Calculate the remainder when 82 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2115 - -2110. What is the closest to 3 in q, -6, -0.3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/((j**(6\/5)*j)\/j)))\/(j\/((j*j**6)\/j)))**(-34) assuming j is positive.\nAnswer: j**(-1054\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -5991 >= -5955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 0*m + 0*m**3 + 1\/15*m**5 + 1\/4*m**4 + 0 - m**2. Find the second derivative of v(a) wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 6*c - 3*c - 3.\nAnswer: c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3470 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 67*m**3 + 41862*m - 6405621?\nAnswer: 201*m**2 + 41862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34 + 5?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 183 - 175. Let l be (-2)\/8 - (-18)\/f. Let c = -4 + 2. Sort -5, c, -3, l.\nAnswer: -5, -3, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 1. Let b be 15\/9 - (-4)\/(-6). Let o(s) = 3*s**2 + 3*s + 3. Suppose 12*y - 10*y = 178. Let a = 86 - y. Calculate a*c(m) + b*o(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 397828, 795659, 1193490, 1591321?\n\"Answer: 397831*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -112.1 + 107. Let i = 5 + g. What is the nearest to i in 2, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7398 is divided by 167?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.85193 decades to years.\nAnswer: 868.5193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-3*sqrt(209) + sqrt(209)*3*-2)\/(-5*sqrt(11)*1*-5*6))**2.\nAnswer: 76\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 7:11 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**7\/735 + 17*y**6\/30 + 47*y**5\/14 - y**4\/21 - 940*y**3\/21 + 15099*y**2. Determine d, given that z(d) = 0.\nAnswer: -235, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.17\nAnswer: 0.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 26677177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2449?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/400 and -71\/12600?\nAnswer: 25200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*x**3 + 23*x**3 + 2*x**2 + 475 + 30*x**3 to the form a*x**3 + q + p*x + n*x**2 and give q.\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-24)\/108)\/(-2*1)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-6*sqrt(720)*1 - (5 + -1 + sqrt(720))))**2.\nAnswer: 2688*sqrt(5) + 141184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -134, -135, -136, -137, -138, -139?\n\"Answer: -u - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125, -419, -3, -2, 1, 5.\nAnswer: -419, -3, -2, 1, 5, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 6289 + 4056. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -521510907048.46?\nAnswer: 521510907048.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211382?\nAnswer: 2, 105691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/136 and 77\/4539?\nAnswer: 36312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 3\/5*q**5 + 3 + 0*q + 3*q**2 - 3\/4*q**4 - 7\/3*q**3 + 1\/6*q**6. Find r, given that i(r) = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 + 83. Suppose -a = -4*b + 3. What is the third derivative of -14 + 14 - 25*k**b - 10*k**3 + 22*k**2 wrt k?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a (base 14) in base 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 118672.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 43, 86, 157, 262, 407, 598, 841?\nAnswer: 1142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 19. What is the remainder when 22 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51522 (base 6) to base 4.\nAnswer: 1223222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/1804 and 65\/42804.\nAnswer: 470844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*b = 578, -4*g + 2292 = 22*b - 24*b. Calculate the greatest common divisor of 14 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d (base 14) to base 5.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -49. Let n be 23\/c - (3 - (-1 + 2)). Which is bigger: -13\/12 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(4 + sqrt(7) + 0)**2*-3.\nAnswer: 120*sqrt(7) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 405 and 2610?\nAnswer: 23490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 44434 (base 6) to base 8\nAnswer: 14106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 2\/11 (c) 4 (d) 2\/21 (e) -3.752 (f) -2 (g) -0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - -13) + -21 + (9 - -3).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 1)*(7*h**2 + 0*h + 0*h) - 16*h + 21*h - 5*h + 4057*h**2 - 1248*h**2 to the form z*h + w + y*h**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 841a66 + -1?\nAnswer: 841a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 7\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29*0.0351705.\nAnswer: -1.0199445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3, 2, -11, -42, -97, -182, -303, -466?\n\"Answer: -j**3 + 6*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(2\/(-13) - (-104397)\/(-20826))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -18*c. Let n(a) = 2*a**2 - 3*a + 312. Determine z(n(u)).\nAnswer: -36*u**2 + 54*u - 5616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**2 - 199*l + 136. Determine n(-67).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5\/3 - -1\/6. Sort 3\/4, k, 6 in ascending order.\nAnswer: k, 3\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.084 * 0.203\nAnswer: -0.017052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -l - 2*j, -2*j + 16 = -5*l - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -264*t + 522*t - 357*t + (t + 3 - 3)*(1 - 2 - 1) - 3*t + 0*t - 19*t to c*t + o and give c.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h**5\/7 - 109246*h**4\/7 + 518404*h**3\/7 + 4558912*h**2\/7 + 7125588*h\/7 + 3194334\/7 = 0. Calculate h.\nAnswer: -3, -1, 39\/4, 13651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 452311 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*d**3\/7 - 18*d**2\/7 + 198*d\/7 + 30.\nAnswer: -6*(d - 5)*(d + 1)*(d + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1417853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 + 13 = 9*x. Suppose -2*a + 12 = -4*a. Let c(h) = h**2 + 3*h + 6. Let s be c(a). Calculate the greatest common factor of s and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, k: 1, z: 2, m: 1}. Give prob of sequence kz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 3*m - 7. Let o be y(5). Suppose -4*i + 91 = 5*p, -3*i = o*p - 2*p - 27. Let 10*s + s**2 - p*s + 4*s = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v + 42*v - 184 = 0 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*v + 15, 3*v - 1 = 2*v + 3*h. Let q be (-15 - -3)*(-1)\/2. Let j = v - q. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 156*w + 1455. Determine h(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 2\/19, 19036, 113 in increasing order.\nAnswer: 2\/19, 4\/3, 113, 19036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h - 2. Let k be q(1). Let x(s) = s**2 + 3*s. Let z be x(k). Let c be (2 - -61)\/(z - -1). Calculate the highest common divisor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1103188 divided by 551594?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 363960545 to the power of 1\/2, to the nearest integer?\nAnswer: 19078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10642.54km to nanometers.\nAnswer: 10642540000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119270, 238542, 357800, 477038, 596250?\nAnswer: 715430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2176155.22 less than 10.662?\nAnswer: 2176165.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.805125616 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 4*w. Let s be o(-3). Let m = s - -7. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/37))\/(p**(-14)*p))\/(p\/(p\/(p\/(p\/(p\/(p**2*p)))))*((p*p**19)\/p)\/p) assuming p is positive.\nAnswer: p**(-72\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1443 - 103?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 11*s + 10. Let t = s + 6. Suppose 3*d - m = t, d + 5*m - 14 = 10. Solve 2*z - 2 + 14 = d*i, 6 = 3*z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15105*z = -14455*z - 12350 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 5*s + s)*(2*s - 3 + 3) + (s - 4*s + 2*s)*(-2 + 2 - 3*s).\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4003 + 1234121?\nAnswer: 1230113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -489*l - 5384. Determine t(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -43, -39, -27, -7, 21?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -876392 plus -0.5?\nAnswer: -876392.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 183 - 106. Let f = a + -57. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**8\/84 - 2*k**7\/35 + 4*k**5\/15 - 17*k**2\/2 - 9*k. Let a(g) be the first derivative of q(g). Factor a(t).\nAnswer: 4*t**2*(t - 2)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5168 take away 45459.1?\nAnswer: -50627.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71)\/(284\/(-6))*1\/(-3)*-92.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(-15) - 2644\/(-20).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.293 * -0.2869807.\nAnswer: 0.0840853451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 8*l - 143 = 2*l + 4*t, 4*l - 112*t + 31 = -113*t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000101 - 11?\nAnswer: 10000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a hour?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 71\/5 of a decade?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1041*k**2 - 37*k - 21. Let n be d(4). Round n to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 93 = 2*t, 0 = -5*t + 4*t + 3. Let r = -31 + g. Let i be -4 - (r + 536\/4). Round i to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19244 + 19244 + 145*b as k + u*b and give u.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 7. Is (-1304)\/16*(g - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8153444, 8153443, 8153442, 8153441, 8153440?\n\"Answer: -d + 8153445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6189\/5600 - 35\/32. Calculate the common denominator of g and 41\/50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-15) - 42\/(-15). Let g be (12\/(-7))\/(4\/(-28)). Let t be 48\/g - 2*-1. What is the highest common divisor of t and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 32*j**2 + 25*j - 165. Give t(-31).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2937081 is divided by 6556.\nAnswer: 6549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 - 10 - 2)*(0 - 11 + 0)*(3 - 2 - 2)*(-3*f + 6*f + f) to i*f + c and give i.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Let p be 21\/6 + -3 - h. Let c = 0.271 + -0.171. What is the second smallest value in -4, c, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 126 = -2*w, 8*w = -3*i + 3*w + 205. Calculate the remainder when 386 is divided by i.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (63\/(-8883))\/((-19)\/(-114))\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4175 - -4275. What is the remainder when m is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-3)\/36))\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 12, 1, -2 in increasing order.\nAnswer: -20, -2, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1171\/2 + -612. Let k be 17 + 0\/((-20)\/(-4)). Let f = -26 + k. Calculate the common denominator of p and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -0.7. Sort -5, -1, l, 0.7.\nAnswer: -5, -1, l, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**3 - 462*i**2 - 239*i + 828. What is w(116)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1849, 0, 18 in increasing order.\nAnswer: -1849, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, 9\/13, -2\/11, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3422*d*y**4 + 4060*d*y - d - 173*y**5 + 12*y wrt y?\nAnswer: -41064*d*y**2 - 3460*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -1001111000011011?\nAnswer: -1001111000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*g**3 - 589*g**2 + 589*g**2.\nAnswer: -190*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3)*(-3 - -6 - 0). Calculate the highest common factor of t and 22.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/154 and -65\/693546?\nAnswer: 7629006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v = -116. Suppose -v - 40 = -f. What is the lowest common multiple of f and 8?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)*-4 + 0 + sqrt(1573).\nAnswer: -13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 + 74. Suppose -8*z = -0*z - h. Solve 2*j - 4 = -3*w, 3*j = 4*j + 3*w - z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 418 + -416. Sort f, -0.05, 0.2 in ascending order.\nAnswer: -0.05, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*sqrt(175).\nAnswer: -30*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 28339 - 28662 = -17*t for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*348.\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-10))\/((-3)\/10). Let d = z + 10. Let w be ((-24)\/(-5))\/6 + 71\/5. Calculate the highest common divisor of d and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 568 = 644. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 26349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 6*d - 2. Let u be t(8). Is 11 a factor of u\/(-7) + 44\/(-77)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.419 plus -10.18?\nAnswer: -10.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 86258.72875 rounded to the nearest ten?\nAnswer: 86260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31686 is divided by 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11)\/(z**(-1)*z)*(z*z**(-11)*z)\/(z\/(z\/(z**(2\/5)\/z))))**6 assuming z is positive.\nAnswer: z**(-582\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-182)\/49 + (0 + 2)*2. Which is the smallest value? (a) v (b) 0.031 (c) 0.1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -3.8883\nAnswer: -1.16649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 32 + 5*o - o**2 + 23 - 54. Let f be l(9). Is (-38458)\/f - 2\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444715149 is divided by 155.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1388 and -2.981.\nAnswer: -4137.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38412.\nAnswer: 2, 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**5 + 243*h**4 + 4728*h**3 + 26136*h**2 + 32400*h - 63504 = 0. What is h?\nAnswer: -6, 1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-4))\/((-1)\/2). Suppose -n*v - 6 = -6*v. Solve -2*d**v + 2*d**3 - 2 + 0*d**3 + 4 - 2*d = 0 for d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcgg when four letters picked without replacement from cccgccgg.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 2)*(-m**2 + 31 - 24*m - 31) in the form l*m**2 + c*m + j and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - d - 1. Let n(j) = j**2 - 8*j. Let u(h) = -2*g(h) + n(h). Let m be u(-6). Suppose -m*v = -4, 3*p + 92 = 4*p + 3*v. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3384035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1144 (base 8) in base 2?\nAnswer: -1001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + f = -1 + 6, -5 = -5*d - 5*f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000685622 rounded to seven decimal places?\nAnswer: -0.0000686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.19638258 rounded to four dps?\nAnswer: 1.1964","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/25*60\/4. Let j(g) be the second derivative of 1\/110*g**5 - 1\/66*g**4 + 4*g + 0*g**2 + 0 + 1\/165*g**c - 1\/33*g**3. Factor j(m).\nAnswer: 2*m*(m - 1)*(m + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 7*z - 185. Determine u(12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 8, 0, -32, 4, -31.\nAnswer: -32, -31, 0, 4, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**5 - 1192*n**4 - 112212*n**3 - 3257264*n**2 + 11292160*n + 14438400 = 0.\nAnswer: -141, -80, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 + 224?\nAnswer: 223.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 785770?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 36640429 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3241, 6482, 9723, 12964, 16205?\n\"Answer: 3241*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7142910?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*v + 2*v - 3*o, -3*v + o - 14 = 0. Let f be (-8)\/((v\/10)\/(-3)). Calculate the common denominator of (-2 - 0)\/(f\/(-134)) and 49\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 468572*w - 27444964898.\nAnswer: -2*(w - 117143)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*x - 2 + 3 - 4*x in the form j + q*x and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkkkukukkkuukkkkk.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/10*121\/154*(-50920)\/(-1474)?\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1.9 (b) -2 (c) -0.1 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20463970*p**5*u**2 + p**2*u**2 - 44*p*u**2 + 3*p*u - 32*p - 10*u**2 wrt p?\nAnswer: -1227838200*p**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 950500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 6. Let l be d(6). Suppose m + m - 6 = l. Let j be 6\/(-4) + (-92)\/(-40). Which is the third biggest value? (a) m (b) -0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162\/(-8) + (4884\/(-176) - 459\/(-17))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 54, -1.7, -3, 1\/5, -3\/7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*o + 2, -3*o = 2*o - 2*z + 22. Let a(v) = 3*v + 2. Let h(d) = -d - 1. Let p(s) = a(s) + 6*h(s). What is the units digit of p(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b = 2*q - 174, 4*b + q = 169. Suppose -34 = -5*a + b. What is the common denominator of 13\/(-12)*27\/a and 47\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61.68 - -63.56. Let y = -0.24 + i. Let w = 125.00153 - y. Round w to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -40, -5 in decreasing order.\nAnswer: -0.3, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v. Let s(k) = -181*k**2. Calculate s(g(j)).\nAnswer: -2896*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 121301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -358 - -358. Solve v = -4*g + i - 10, 2*g - 3*i = -3*g - 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/((g\/((g**13\/g)\/g))\/g*g)*g*g\/g**(-10\/7)*((g*g**0\/g*g*g)\/g)**(-48) assuming g is positive.\nAnswer: g**(-235\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 6:47 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rrrjjrrjrjr.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -144 (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2857*s - 27628 = -1915 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2576700479 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/83 equal to 0.198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 329\/2 + -165. Suppose n - 14 = -n. Let a be 6\/n*(-3)\/9. What is the third smallest value in -0.09, z, a?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1140017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 9*k - 7. Let o be v(-3). Solve -o + 7 = -4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2)\/((-2)\/32) + 0. Let s be ((-8)\/(-16))\/((-1)\/p). Suppose -x = s*x. Solve 5*j = -x*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2073 - 2073. Let t(p) be the third derivative of z*p - 1\/240*p**5 + 0*p**3 + 0 + 6*p**2 + 1\/96*p**4. Factor t(y).\nAnswer: -y*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/44 and 55\/3452.\nAnswer: 37972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 18*j - 5. Determine x(13).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 17*c**2 + 9*c + 15. Let w(l) = -55*l**2 - 27*l - 45. Let s(q) = 16*g(q) + 5*w(q). Give s(7).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*m - 2*m**2 + 303*m - 578*m.\nAnswer: -2*m**2 - 133*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(1836\/17)*6*-234.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 - 37 - 3*h + 8*h + (0 + 1 + 1)*(3 - 3 + h) + h + 6 - 6 to z*h + g and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1025300870 is divided by 1281?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2 - 18948*n + 113616 = 0.\nAnswer: 6, 9468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1423882015 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -7. What is the units digit of v\/(-6) - (-17)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 7. Let r be f(-10). Let l(p) = -5*p**2 + 7*p + 17. Let o(w) = -2*w**2 + 2*w + 6. Let t(h) = r*o(h) - 6*l(h). Factor t(y).\nAnswer: -4*y*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28474, -28449, -28422, -28393, -28362?\nAnswer: -28329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 16, x: 4}. What is prob of sequence xxx?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4*-86627926\nAnswer: -346511704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355896.\nAnswer: 2, 3, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 3*k - 3 = 0, c = 4*c + 3*k + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 53. Suppose 9*o = b*o - 1434. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 216\/90 + 21\/(-15) + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(144) + (sqrt(144) - sqrt(144)*2 - sqrt(144)))*2)\/(sqrt(88)\/(sqrt(99)\/(-2*sqrt(9)))))**2*-6.\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 197006 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -90.2298982 and -0.1491.\nAnswer: -90.3789982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3294*h + 1940*h - 1 + 4096*h to the form a*h + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s. Let h(k) = -9*k. Let b(y) = -2*h(y) - 3*i(y). Let z(g) be the second derivative of 2*g**3\/3 + 5*g. Calculate z(b(o)).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8104.\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2, 3, -438, 4, 2.\nAnswer: -438, -12, -2, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301.5179 nanograms to tonnes.\nAnswer: 0.0000000000003015179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 80. Let v be 26\/d - (-12)\/5. Let l be -33 + (4\/v - (2 - 3)). Is l <= -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 7*v - 7. Let l be m(-6). Does 8 divide (-1 + (-7)\/l)*574\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03 + -0.48. Let m = -0.01 - a. What is the biggest value in m, -0.2, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*i**4 - 69*i**3 + 22*i**2 + 132*i + 56.\nAnswer: (i - 7)*(i - 2)*(3*i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 7. Suppose 0*n = o*n - 15. What is the third derivative of -n*q**2 - 2*q**6 - 17*q**4 + 17*q**4 wrt q?\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 202\/23 - -1801\/138. Let z = -491 + 6877\/14. Calculate the common denominator of w and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12428427549\/8 - -1549600149. Let h = f - -125817399\/32. Let o = -21499 - h. Calculate the common denominator of -137\/12 and o.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18874.7 times 3?\nAnswer: 56624.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 3, f: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -282, -557, -832, -1107, -1382?\n\"Answer: -275*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t - 8. Let n(k) = 5*k - 12. Suppose w = -5*h - 30, -5*h + 7 - 42 = 2*w. Let x(z) = 3*z**2 + 14*z - 10. Let j be x(w). Determine j*n(v) + 8*u(v).\nAnswer: -v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.959 + -9. Let g = l - 0.359. Sort 4, -5, 0.5, g in descending order.\nAnswer: 4, 0.5, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 16*u**2 + 15*u - 16. Let w(n) be the second derivative of -n**4\/4 - n**3\/2 + 3*n**2\/2 + 22*n - 55. What is -2*k(d) - 11*w(d)?\nAnswer: d**2 + 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*x - 90 = -43 - 281. Let v(g) = -g**2 - g. Let n be v(-1). Which is the third biggest value? (a) n (b) -0.3 (c) x (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164722163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 12:41 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 7:54 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -167441 at least -167468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -6 + 2. Suppose c + c + 10 = r*a, c = a. Solve -15 = u - 2*q - 0*q, a*u + 50 = 5*q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*u - 8. Solve 15 = -3*p, u*h - 3 - 1 = -p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*u = -6. Suppose -s + u = -1. Suppose -3*n - 5*b = -14, -5*n + 5*b + 0*b = -10. Solve 0*t + s = n*t + 3*d, d = 3*t - 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (36\/6 - 8) + -9. Let p(r) = -r**2 - 16*r - 48. Let n be p(j). Let f(g) = 0*g - 2*g + 4 + g. What is f(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.05 and 4.14.\nAnswer: 4.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*-2*(sqrt(475) + -1).\nAnswer: -60*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 2:46 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133993?\nAnswer: 133993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 3*r + 295. Calculate the greatest common factor of 649 and r.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535 at most 551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1109 = -13*w + 269. Let g = w - -483. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/20 and -3\/1328.\nAnswer: 6640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -714*k**2 - 2. Let c(y) = -284*y. Calculate n(c(l)).\nAnswer: -57588384*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 79.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16944 and 8304.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -113768988*r - 81550303?\nAnswer: -113768988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 2\/46239, -0.0758?\nAnswer: -0.0758","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, c: 2, t: 6}. What is prob of picking 1 c and 1 h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*u**2 + 22*u**2 - 12*u**2)*(-1 + 1 - 3)*(-u**3 - u**3 + 3*u**3).\nAnswer: 54*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1275 and 19245?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jel when three letters picked without replacement from {e: 4, l: 4, j: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051 a factor of 6918733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4954146661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - -23. Suppose -4*n - 5*x = -93, 25 = n + 2*x + x. Suppose 5*v - 33 = n. What is the remainder when b is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-2))\/((-156)\/182*-7).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/8 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -221 - -221. Suppose 0*z - 11*z + 43637 = x. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/7))**(-47)\/(c\/(c*c**(-4\/9)*c)*c*c\/c**(-2\/15)) assuming c is positive.\nAnswer: c**(-11072\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v. Let i(a) = 4*a + 10. Let h be -8 + (792\/108)\/(-2 - (-24)\/9). Calculate h*n(t) + i(t).\nAnswer: t + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*d + 19 + 18 - 52*d + 7*d**3 + 25*d.\nAnswer: 7*d**3 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -453, 3, 1, 19.\nAnswer: -453, 1, 2, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002529 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*t**2 - 174*t**2 + 390*t**2 - 148*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3*x - 82587, -5*i - 2*x = 2*x - 137681. Suppose 8*z = -3*z + i. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(208)*1.\nAnswer: -1 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 78 = -25*q. Let t be (-40)\/q - (-19)\/57. Solve -t + 23 = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1009 divided by -4?\nAnswer: -1009\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2 + 14*f - 73. Let x(j) = j**2 - 9*j + 49. Give 5*n(h) + 8*x(h).\nAnswer: -2*h**2 - 2*h + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 1. Let z(y) = -8*y**2 + 3 + y**3 - 7 - 3 - 8*y. Let o be z(9). Suppose 4*h + o*m - 6 = 0, -m + 4*m + 35 = 5*h. Determine t(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzahhzhzzzahahzazh. What is prob of picking 1 h and 1 z?\nAnswer: 49\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/((-30)\/18429))\/((-290)\/(-725))*-38 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o + 300 - 300 = 0. Let n(b) be the third derivative of -1\/10*b**3 + o + 1\/600*b**5 + 0*b + b**2 + 1\/240*b**4. Factor n(f).\nAnswer: (f - 2)*(f + 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b51 (base 12) to base 6\nAnswer: 35341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 100022 (base 3) to base 2\nAnswer: 11111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 333925 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1187712 divided by -1?\nAnswer: -1187712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -514 in -0.1, 3\/4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*i**2 + 76437006*i + 16986000 = 0. What is i?\nAnswer: -2831000, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7953714*j**3 + 2*j**2 + 357*j + 1955 wrt j.\nAnswer: -47722284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = z + 8. Suppose x = z*x. Suppose s - 4*s + 66 = x. Calculate the smallest common multiple of 20 and s.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 237, 341, 431, 501, 545, 557?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -252 - -251.6. Which is the closest to -1? (a) -0.3 (b) s (c) -0.38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20000 (base 4) to base 5.\nAnswer: -4022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -2. Suppose 4*z - 5*z + n*i = -23, 3*z = -i + 4. What is the units digit of (-2*1)\/(z\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1315103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**3 - 48*f**2 - 360*f - 864 = 0.\nAnswer: -12, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 14*i**5 + 17*i**2 + 88*i + 5. Let g(q) = 7*q**5 + 8*q**2 + 44*q + 2. Let h(z) = 5*g(z) - 2*r(z). What is the second derivative of h(k) wrt k?\nAnswer: 140*k**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29.6 - 30. Put -1, -14, t in increasing order.\nAnswer: -14, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 49*r - 244. Let b be y(32). Suppose 0 = -b*f + 1331*f - 4158. List the prime factors of f.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 6*f - 1\/12*f**4 + 1\/9*f**3 + 0 + 0*f**2 + 0*f**5 + 1\/90*f**6. Solve j(w) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.18 and 0.07.\nAnswer: 2.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-2*u**2 - 5*u**2 - 2*u**2) - u**2 + 0 + 0 + (-3*u - u + 3*u)*(u + 2*u - 2*u) - 4*u**2 - 5*u**2 - 13*u**2.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18428, -18416, -18368, -18266, -18092, -17828?\n\"Answer: 3*a**3 - 9*a - 18422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 15743028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 10*d**2 - 14*d - 15. Let u be f(9). Let r = u + 65. Solve -5*j + r = -5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + (sqrt(72) - (2*sqrt(72) + sqrt(72))*1))\/(-2*sqrt(400) - sqrt(36)*4))**2.\nAnswer: 9\/512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-5))\/12*4\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -54645 divided by 5\nAnswer: -10929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 g, and 2 x when four letters picked without replacement from qqgqxqqqqqqqqkix.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/5 + 29868*l\/5 + 74341452\/5.\nAnswer: 3*(l + 4978)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5 = 2*u - 3, u - 7 = 5*i. Let j be 76\/6 + u\/(-9). Suppose -3*d - 2*m - 2*m = -47, -d - 4*m + 21 = 0. What is the highest common factor of d and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j. Let c = -3 - -4. Let x be l(c). Put -4, -1, x in increasing order.\nAnswer: -4, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3 + 5 = 0. Let j(q) = q. Let m be j(b). Differentiate -1 - 6*p**2 + 2 + 7*p**m with respect to p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1203\/(-7619) + (-73)\/19 + (-90)\/(-21). What is q in 256*q + 64\/7*q**3 - 224 - 624\/7*q**2 - a*q**4 = 0?\nAnswer: 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -122\/523?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 8*w + 12*w = -39, -w - 22 = 3*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -1\/20*p**6 - 1\/8*p**4 - 20\/3*p**3 - 63*p**2 + 0 - 1\/20*p**5 + 0*p. Find the second derivative of x(t) wrt t.\nAnswer: -36*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 21\/7*-2 - -7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + ((-3)\/1 - -5). Let l = 10 - 10. Let g = -170 + 175. Solve l = -2*i - u + 9, 3*i - g*u + 2 = -j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2177.\nAnswer: 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -135 divided by -5\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/5)\/(6\/(-15)). Let r(y) = -3 + 1 + v + 3*y. Let q(h) = 0*h + h - 2*h. Calculate r(q(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -576*r**2 - 12*r**2 + 1810*r**2.\nAnswer: 1222*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 105508167?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 161*v + 142. Calculate k(-7).\nAnswer: -985","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 206, 2019, -52?\nAnswer: 2019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + i**3 + i**3)*(-209 - 66 - 23)*(0*i - 2*i - i).\nAnswer: 894*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -196441 by 10339.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 5. Let d be f(-4). Let v be (-22)\/(-8) - 2\/(-8). Suppose v*h - 33 = -4*s + 3, -2*h - 45 = -5*s. Calculate the greatest common divisor of d and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 751525.\nAnswer: 5, 23, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(8)*3)\/sqrt(4)*2 + (1 + 1 + sqrt(162) - (sqrt(162) - 4*(0 + sqrt(162))**2)).\nAnswer: 12*sqrt(2) + 651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*(-3*-3*sqrt(102) - sqrt(102))\/(sqrt(600)*3))**2.\nAnswer: 1088\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1124336)\/384 - (-2 + (-3 - -7)). Suppose -3*k = d + 2935, -d - 3*k - 2931 = -4*k. Let q = v - d. What is the common denominator of 39\/2 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -k + 3*j - 0*j, -5*j = 4*k + 30. Let u = -55 - k. List the prime factors of ((-120)\/u)\/((-1)\/(-5)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 20*u + 20. List the prime factors of k(17).\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -2. Let n be 1\/2 + 12\/(-8). Let k be (-1 - n)\/(7 + -9). Is k greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.56 less than -2195.87935225?\nAnswer: -2217.43935225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*c - 1774 = 1422, 0 = 4*j - 3*c - 3201. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.45 - 0.05. Let c = 2 + l. Let w = 0.50000075 + c. What is w rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113203030 (base 4) to base 13\nAnswer: -34ba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6226660?\nAnswer: 2, 5, 11, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -333 - -333.2. Let j = 1\/10 + 7\/30. Which is the second smallest value? (a) l (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 290 (b) 3\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(5\/6))\/((b**1*b)\/b)*b\/(b*b\/b**0)*b*b**(1\/9))**(2\/5) assuming b is positive.\nAnswer: b**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 14 = -9. Suppose -4*l + 66 + 110 = d*r, 2*l - 94 = -r. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 15) to base 4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*a - 88 + 42. Solve 0 = 2*d - a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 18*h + 3. What is the tens digit of m(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147521.9 years to decades.\nAnswer: 14752.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -27 (b) -2 (c) -0.42 (d) -0.1 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3888925 divided by 3?\nAnswer: -3888925\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1808 + 239 = 63*m + 951 for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 6. Let a(k) = 7*k + 49. Let t(i) = -6*a(i) + 49*j(i). Let v be t(1). Let m be (0\/2)\/(0 + -1). Solve m = y + o - 1, -y = -6*o + 3*o + v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-91)\/(-52))\/(124\/(-64) + 2) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13731, 27617, 41621, 55743, 69983, 84341?\nAnswer: 98817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 99\/2, 0, -2\/9, 2\/11, 0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmb when three letters picked without replacement from wwbmefbwfdeebfe.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 859 = -212*r + 11. Let s(j) = 6*j + 7. Let u(d) = d + 1. Determine r*s(o) + 28*u(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6) - (-20)\/(-30))*10\/(-4).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.93 - -6. Let q be (7\/2)\/(14\/(-28)) - -7. Which is the closest to -2? (a) -0.3 (b) q (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4755861*c**4 + 4917558*c**2.\nAnswer: -114140664*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 1 - ((-2 - -2) + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*l - 5. Suppose -4*u = l*x - 77, -5*u + 65 = -3*x - 22. What is the highest common factor of u and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 7:22 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**5\/20 - 3*d**4\/4 - 17*d**3\/6 + 5*d**2 - 26*d. Is v(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36146 divided by -2.\nAnswer: -18073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 + 138. Let b = -37 + s. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-72148\nAnswer: 288592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 7*w**2 - w - 4. Suppose 14*t - 11*t + 21 = 0. What is the smallest common multiple of z(t) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 515*j**2. Let n(w) = 5*w. Determine a(n(x)).\nAnswer: 12875*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 401 - 256. Let n = -146.3 + b. What is n rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p + 2. Suppose 18 = 2*o + 2*n, 12*o - 7*o + 4*n = 42. Let g(a) = 2*a - 10*a - o - 5*a. Determine -2*g(b) - 7*w(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.4269759 microseconds to days.\nAnswer: 0.00000000024799740625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -805294 divided by 2.\nAnswer: -402647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6\/11, 1, 1.4, -52, -5?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 14) to base 5.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 27954?\nAnswer: 279540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 25*y - 4. Let i(o) = 24*o - 5. Give -3*i(c) + 4*w(c).\nAnswer: 28*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 185 - 100. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 e when two letters picked without replacement from keekxkqeeskexkzxke?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1841 - -502. Suppose -t = -r - 736. List the prime factors of r.\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 242 = -2*z, 0 = 3*z - y - 170 - 183. What is the remainder when 239 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, 0.1, 0.4, 38, 1\/23?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - k**2 + 2*k**3)*(1487*k - 474*k + 86*k + 2*k**2).\nAnswer: 4*k**5 + 2198*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.2, 5, -5, 2\/945, 4 in descending order.\nAnswer: 5, 4, 2\/945, -2.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9245 and 205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a - 31. Calculate d(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 420 and 180033.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 178867308 and -5?\nAnswer: -894336540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 13 + -1 + -1 - 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102202 (base 3) to base 4.\nAnswer: -10331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/(-3))\/5*3)\/((-81)\/405).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 159 + 171. Is 22 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j + 88 = 31*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3632, 3631, 3628, 3623, 3616, 3607, 3596?\n\"Answer: -c**2 + 2*c + 3631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121458?\nAnswer: 2, 3, 31, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42417659 by 37571.\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 3:22 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*c - 869 = 2450 + 81. What is the remainder when 671 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 2036 - 6972 = 0. Let f = l + 2795. Is f a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 808788 divided by 12.\nAnswer: 67399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/575 - -1168\/5175. Let r = 0.3 - -0.1. What is the third smallest value in r, -2\/9, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -227, -684, -1141, -1598?\nAnswer: -2055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25\/4 - 1\/4 and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13472 or -13469?\nAnswer: -13469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13438230?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**4\/12 - x**2 + x. Let i be c(-3). Suppose 3*h = -i + 16. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -2.09\nAnswer: -1.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33484 and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 602784550 to the power of 1\/2, to the nearest integer?\nAnswer: 24552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8608*a**3 + 863 - 17166*a**3 + 8556*a**3 + 2*a**4 to u*a + f*a**3 + h*a**2 + d*a**4 + t and give t.\nAnswer: 863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f - 521. Let p be s(58). Suppose -l + 5 = 3. Calculate the highest common factor of p and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -106991 - -962939\/9. What is q in v*q + 8\/3*q**2 + 0 + 4\/9*q**3 = 0?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-63)\/(-16))\/3)\/(41\/(984\/18)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y + 2*y - 2*y - y - 4 + 71*y**2 - 23*y**2 as i + f*y + h*y**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 5*z + 13, -96*u - 9 = 5*z - 95*u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140*-1 - (-64864)\/2027.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -697, 2, 0 in decreasing order.\nAnswer: 2, 0, -4, -697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, -4, 0.2, 5, -180201?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 2*r + 3. Calculate the remainder when 1 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18975401.8715 take away 0.3?\nAnswer: -18975402.1715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - m = -3 - 0, 3*s = -m + 9. Differentiate -5 - 2*l**2 - l**2 + s with respect to l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 5*a**2 + 7*a - 6. Let l be o(6). Let s = l + 11. Differentiate -s - 68*u**3 + 76*u**3 - 3 with respect to u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (2 + -10 - (0 + 16 + -2)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/719, 0.06, -21, 0, 0.05, -1\/5?\nAnswer: 3\/719","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 16 - 47 = 3*h - 9*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 3 - 0 - -27 - (23 + -39 - -20).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 21*r + 553. Does 37 divide x(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2279 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.22 - 0.12. Let r = -4 + 3.9. Let o = -0.3436 - -1.3436. Which is the third smallest value? (a) -4 (b) o (c) l (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 686853.8ml in litres?\nAnswer: 686.8538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-15)\/w*w*w)\/w*w*w**(1\/7))**(15\/2) assuming w is positive.\nAnswer: w**(-1455\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 94519?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5008317 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-473)\/66 - (0 - (-10)\/(-12))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 - -207. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3359 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + j - 5*j - 32 = 0, j + 53 = -4*x. Let k(t) = -t - 8. Let u be k(x). Solve -2*i - 6 = -u*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 657.900005313 + -657.9. Round i to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95250 divided by 6?\nAnswer: 15875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -29, -38, -49, -62?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -585, -1109, -1605, -2073, -2513, -2925, -3309?\nAnswer: -3665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, r: 3}. What is prob of sequence bbr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5636200 + -2?\nAnswer: 5636165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5750*r + 5427*r + 8 - 8 - 16922*r + 5752*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -i + 23. Suppose -116 = -19*y + 93. Calculate the remainder when i is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 5532*g - 2183706.\nAnswer: -2*(g + 477)*(g + 2289)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**2 + 0*z - 1\/3*z**3 - 8. Let w be t(3). Sort 6, w, 2.\nAnswer: w, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -36290 and 92.82.\nAnswer: -36197.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 9:39 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from btnxcbbxb?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 21 = d, -133*d = 2*g - 128*d - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 0 + 3\/1. Suppose -b*d + 3*q = -27, 2*q + 0*q = 2*d - 16. What is the greatest common divisor of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8219 - 7*n**2 + 13*n**2 - 8219 - 7*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*d - 428 = 27*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 5, -l + 3*o = 2*o - 90. Let v = 118 - l. Suppose -7*t + v = -16. Solve t*g = -3*n + 4*g - 12, -4*g = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 47?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hiriiuxihixuiriiirh. Give prob of sequence hhri.\nAnswer: 9\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -875 - -1352. Suppose u + 1273 = 2*r. What are the prime factors of r?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 2:46 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 8*h + 23. Let w be i(10). What is the tens digit of 115 - w - (-4 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -8. Suppose 4*x - 6 = c*x. Solve -x*v - 2 = -v + 4*u, 4*u = 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277746 is divided by 284.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28.4043 - -291732.5957. Let k = -291767.000022 + j. Let c = 6 + k. What is c rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -324*q + 316*q - 104 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -16*x - 181. Determine w(-23).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbjjjamjmjnbnnmjmnjn. What is prob of sequence ab?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-301)\/(-21) + 4 + (-32)\/6. Solve -2*y = w - 6*y - m, w = -5*y - 14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*t + 36 = 0, t = -8*i + 4*i + 36. Suppose w = i - 12. Sort w, 3, 2.\nAnswer: w, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, -2.6, -11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -36, -8, 6154 in descending order.\nAnswer: 6154, -2, -8, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/180976789 and 37\/196889?\nAnswer: 1990744679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, 377, 1170, 2277, 3698?\nAnswer: 5433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 44\/5 of a century?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3175235 and 224861?\nAnswer: 2471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-9 + 29 + (-6 - -2) - 9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(77) - (sqrt(77) + sqrt(77)*1)))\/sqrt(11))**2 + (3*sqrt(4032))\/sqrt(9).\nAnswer: 63 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 16*x**2 - x - 2. Let i(t) = 2*t**3 - 14*t**2 - 2*t - 3. Give -2*i(m) + 3*s(m).\nAnswer: -m**3 - 20*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 - -20.4. Let z = l + 19.3. Round z to zero dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/396096, 0 in descending order.\nAnswer: 2, 1\/396096, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 0.2 (c) -2 (d) 1.4 (e) -131\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 4. Solve 0 = f + 2 - y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + h - 60 = 0, 3*h + 2 = -3*n + 2*n. Let z = -14 - n. Which is the biggest value? (a) -4 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhv when three letters picked without replacement from vwwwvwwvvhwhvhh?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208402 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 + 462*k**2 - 1.\nAnswer: 462*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 270 - 272. Find the common denominator of p + (-13)\/(-5) - (-5 + 9) and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84 + 70*s**2 + 84)*(3*s + s - 5*s).\nAnswer: -70*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 0.051, -4\/103 in descending order.\nAnswer: 0.051, 0, -4\/103, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -443.\nAnswer: -7\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**4\/4 + 5*w**3\/6 + 5*w**2\/2 - 49*w. Let p(u) = -8*u**2 + 12*u + 12. Calculate 12*d(k) - 5*p(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*d**5 + 17472484*d**4 + 12494768*d - 18 wrt d.\nAnswer: 720*d**3 + 209669808*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/11050 and -163\/5100?\nAnswer: 66300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 + 158 - 2*n - 2*n**3 + 200 - 141 in the form h*n**3 + f*n**2 + z + k*n and give z.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -135 + 192. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530212 is divided by 114?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4085489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3735.000003473 - -3735. What is n rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 1. Let y(f) = 12*f - 8. Let n(l) = -24*o(l) + 3*y(l). Let i(j) = -4*j + 3*j - j + 4*j. Determine n(i(v)).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 27*g + 114. Give i(21).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 388160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 16*b + 13. Let h = -35 + 20. Let g be l(h). Which is smaller: -7\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -818*p + 825*p - 77 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 8, -5*z = 3*l + l - 583. What are the prime factors of z?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 - 43*l**2 - 4*l**2)*(2 - 6 + 2).\nAnswer: 86*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4155, 8288, 12419, 16548, 20675, 24800, 28923?\nAnswer: 33044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 41 = -5*c + 2*c, -2*c + 4*d = -28. Let p = c - 10. Factor g + 0 + 1\/2*g**p.\nAnswer: g*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1494*i**5 + i**4 - i**3 + 21*i - 85 wrt i.\nAnswer: 29880*i**3 + 12*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*g**3 - 2969776*d*g**2 + 4480760*d*g - d - g**3 + 2*g**2 + g + 1 wrt g.\nAnswer: -12*d*g - 5939552*d - 6*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/84 and (1\/72)\/(((-39)\/(-642))\/13).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -1. Let u = -2 - d. Let t(l) be the second derivative of -l**5\/20 - l**4\/4 + l**3\/2 + l**2 + 249*l. What is t(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146107*(-1 + 3 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1541*l*x**2 + l*x - 232210*x**2 - 52*x - 145009 wrt x.\nAnswer: 3082*l - 464420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.173 - 0.027. Sort 3, 1, f, -2\/5 in decreasing order.\nAnswer: 3, 1, f, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 78 = 4*t, 4*t = -31*v + 30*v + 86. Which is greater: t or 13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*g + 92*g - 497 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + s. Let i be a(0). Let h be 4\/2 + 1 + i. Suppose 0 = -h*x - x + 16. Solve -24 = 5*c + m - x, -2*m - 7 = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 5:32 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3273768 is divided by 44.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 13 = 4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61\/12 + -16\/3. Which is smaller: -1\/26 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -7*m**3\/6 + 12*m**2 + 5465*m. Determine b(-4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 973c8 (base 13) to base 8.\nAnswer: 1025313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*a + 29 = 0, -3*a - 218 - 98 = -24*g - 55 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 9:05 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1 (b) 1 (c) -4 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 1:30 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/((-56)\/(-364)*-39).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -2. Suppose -2*g = -d*g + 4. Suppose -2*n + k - 134 = -7*n, g*n - 88 = 4*k. What is the remainder when n is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - -49. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 79, 1, 2, 1.5, 0.01.\nAnswer: 0.01, 1, 1.5, 2, 5, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*g + 52, 5*g - 61 - 26 = 3*n. Let t be ((-132)\/g)\/(2\/(-3)). Let w = t + 8. Calculate the remainder when 56 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14118*f + 3*f**3 + 14118*f.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.168 + -0.042. Let g = n + 0.01. Let v = -23\/14 - -8\/7. Which is greater: g or v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 571095 and 6891213.\nAnswer: 103368195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12512 is divided by 84.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.97 + -0.03. Let u = -7.9 - -7.9. Let z = u - l. Is z greater than or equal to -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 19913*l**2 + 70*l - 97. Is y(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 7:32 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 460066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -13*k + 10*k. Put -2, 1, k, 2 in increasing order.\nAnswer: -2, 1, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + x + 58361, 5248 = -s + 3*x + 19830. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-m + 0 + 0)*(2 - 6 + 2) + 2 - 2 - m)*((23 - 24 + 11)*(-2 - 2 + 5) + 0 - 4 + 0)*(-4*m - m + 2*m) in the form t*m + g + z*m**2 and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 545 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1250.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1351657, -1351641, -1351627, -1351615, -1351605, -1351597?\n\"Answer: -h**2 + 19*h - 1351675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 1. Let a(v) = 12. Give a(g) - 12*i(g).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3 + 2 + 8741*g + 0.\nAnswer: 8741*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b8 + ddc3?\nAnswer: 1009b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/8)\/(17*198\/(-22440))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/3))**(13\/5)\/((w*w*w**(2\/11)*w)\/(w\/w**(1\/10)*w)))**(2\/81) assuming w is positive.\nAnswer: w**(-199\/2673)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, h: 5, r: 3, z: 1, g: 3, x: 5}. Give prob of picking 2 h and 1 l.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -698*k = -650*k - 96. Solve -2*p = -c, 0 = 8*c - 12*c + k*p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.2935, 2\/5, -0.61, -0.3 in decreasing order.\nAnswer: 3.2935, 2\/5, -0.3, -0.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 5*p - 6. Let t be i(-4). Let k(o) = o**2 - 6*o - 16. Let x(h) = h + 3. Suppose -n = n + 22. Determine n*x(s) + t*k(s).\nAnswer: -2*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 at least as big as -43\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 greater than or equal to -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + c. Let k be l(1). Let s be (0 + -1)*k\/3. Factor 0*q + 2\/7*q**3 + s - 2\/7*q**2.\nAnswer: 2*q**2*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((m**2*m)\/m*m*m)\/m)\/m)**(4\/33)\/(m**(1\/6))**(1\/6))**(-3\/11))**(-2\/7) assuming m is positive.\nAnswer: m**(85\/5082)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 6*sqrt(612) + 0)**2.\nAnswer: 23273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8167.19125 and -1.\nAnswer: 8166.19125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 26 + 9 = 0. Let g(f) = -f**3 - 7*f**2 - f - 3. Let h be g(r). What is the second derivative of -13*v + 5*v**4 + 11*v + 0*v**h wrt v?\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15308605, 15308588, 15308585, 15308602, 15308645?\n\"Answer: v**3 + v**2 - 27*v + 15308630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65206 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3189 is divided by 537?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*x**2 + 26*x**2 - 54*x**2)*(-13 - 6 + 23) to the form d*x**2 + t*x + w and give d.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 12.5. Round l to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62099 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -59376996 divided by -28\nAnswer: 2120607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3767*k - 34878*k - 4425*k.\nAnswer: -35536*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 895072 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**5\/60 + 8*d**4\/3 + 176*d**3\/3 + 204*d**2 - 5. Calculate b(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*o + 50, -55 = 3*o - 8*o + 4*z. Let u(h) = 3*h**2 - 10*h + 5. Is u(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h + 144 = 9*h. Let q be (3\/(-6))\/(6\/h). Which is the closest to 2\/5? (a) -2 (b) q (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a week in minutes?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + -2)\/(3\/682). Let x = b - 6941\/10. What is the common denominator of -73\/36 and x?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**4\/2 - 3*c**2\/2 + c = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569 is divided by 84.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -17 (c) 1526\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.4, 3\/11 in decreasing order.\nAnswer: 0.5, 3\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 135\/36*(-10)\/25*21\/((-252)\/(-40))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 5*z + 2. Give x(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35505?\nAnswer: 3, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3697635 micrograms in nanograms?\nAnswer: 369.7635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12628*h**3 + 2*h**2 + 19*h + 5.\nAnswer: 75768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1261 + 11cc4?\nAnswer: 13255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/(1 - 2)*-1. Put j, -1, 3 in ascending order.\nAnswer: -1, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 12) to base 14\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*(((sqrt(325) - (0 + sqrt(325))) + -3 - (-2*sqrt(325) + -3)) + 1*sqrt(325)*-5 + 3))**2.\nAnswer: -90*sqrt(13) + 2929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -299251 + 896256731\/2995. Let g = k - -354622\/2995. Let f = g - 119. What is the nearest to 0.1 in 1, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 9 - (1 - (-8 - -3)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 h, and 2 w when four letters picked without replacement from hhwxwwextteee.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00108289383 rounded to six dps?\nAnswer: 0.001083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2. Let n(w) = -w**2 + 266. Determine p(n(f)).\nAnswer: f**4 - 532*f**2 + 70756","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 35*d = 0. Let w(l) = d*l - 43*l**2 + l + 41*l**2 + 3*l - 3. Let o(c) = 10*c**2 - 19*c + 16. Calculate -2*o(g) - 11*w(g).\nAnswer: 2*g**2 - 6*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 22*a = 17*a - 1019, 5*w = -a + 1745. Calculate the least common multiple of 24 and w.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 91418181?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 993350?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3834 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, 1865, -2\/13, -19 in decreasing order.\nAnswer: 1865, 127, -2\/13, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44362427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (7 + (10 - 23) - -11) + -11 - -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.7376441 plus -0.16?\nAnswer: 17.5776441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 4 (b) 0.2 (c) -6235\/2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17940*d - 17940*d - 93*d**2 - 14*d**2 + 4.\nAnswer: -107*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 0)*(0 + -2). Let a(n) = 9*n - n - r*n. Let k(l) = -3*l. What is a(k(h))?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2110010 (base 3) to base 10\nAnswer: -1785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16806371, 33612742, 50419113, 67225484, 84031855?\nAnswer: 100838226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2619100?\nAnswer: 2, 5, 11, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/2*((-2)\/6)\/(71\/71).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 503677 less than or equal to 503672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -144, 3, 1, 4, -4 in descending order.\nAnswer: 4, 3, 1, -4, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*i - 2*d + 8, 3*d - 12 = 4*i. Let r(l) = -l**2 + 6*l + 5. Let p be 20\/3 + 1\/3. Let g be r(p). What is the closest to -2\/5 in g, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*b + 62 = -114. Solve -4 = -b*w + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3057987547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1629 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-14))\/x)\/x)\/x*x*x\/(x\/x**(-17)*x) assuming x is positive.\nAnswer: x**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 1:09 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}