diff --git "a/data/dm_maths/full_data_2/614_11255.jsonl" "b/data/dm_maths/full_data_2/614_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/614_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the remainder when 601 is divided by 250?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -199\/6 + 33. What is the nearest to -1\/4 in y, 2, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 2. Let x be j(4). Let t be (2\/1)\/(x + 1). Let w = 1 - 1. Is w <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 15*h + 9*h - 99 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 18 = -8*m. Let u be (m + (-2 - 0))\/4. Is (-141 - -10)\/(u + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.934 + -0.933995976. Round h to 7 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1291*o = -9299 + 2844. Factor -1\/2*x**o + 3\/2*x**3 + 0*x - x**2 + 0 + 0*x**4.\nAnswer: -x**2*(x - 1)**2*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-144)\/27*30\/(-8). Suppose -5*c + d = -0*c. Differentiate -6*f**c + 3 + 3 + 12*f**4 with respect to f.\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0*i*(i*(i*i**(-1\/3))\/i*i)\/i)\/(i**2*i*i*i*i*i**(2\/3)))**46 assuming i is positive.\nAnswer: i**(-230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 k, and 1 e when four letters picked without replacement from {a: 3, k: 4, e: 5, g: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(650) - (sqrt(312)*-1)\/sqrt(12))\/(sqrt(98) - (((sqrt(98) - -3*sqrt(98))*-1 - sqrt(98)) + sqrt(98))))**2*-3.\nAnswer: -351\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -59 and 9544.\nAnswer: 9485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 43. Suppose -l = -2*c - a, -4*l - 5*c + 28 = -2*c. What is the remainder when 37 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*u - 93*u + 364*u - 1070*u**3 - 84*u - 95*u to b*u + m*u**2 + t*u**3 + i and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 11:51 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 - 68.999804. Round k to five dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i**2*q + 2224*i**2 + 820*q wrt q?\nAnswer: 2*i**2 + 820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -17*a - 4. Determine h(-3).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130106.9 months in millennia?\nAnswer: 94.175575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2010857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 94759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 36 in descending order.\nAnswer: 36, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 68978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 113430679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 9*w**2 - 11*w + 13. Let c be f(10). Suppose 0 = -d + 5*h + 75, -c*d - 4*h = -5*h - 155. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*sqrt(20)\/sqrt(4))**2 + -1.\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8319 is divided by 2637.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189\/(-81)*(0 + (-1 - 470)).\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 20*a - 19*a + 20794 = 0, 0 = -5*y + 2*a + 20798. Is y a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/2)\/(o*o**(-3\/7)))**(-14\/9))**(-44) assuming o is positive.\nAnswer: o**(572\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3294067 at least as big as -3294067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2316*f - 495570. Give i(-214).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, l: 7}. Give prob of sequence ltl.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6504*1.3.\nAnswer: 8455.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/5 + -1)*5\/(-2). Let l(u) be the first derivative of 2*u - 2 + 3\/2*u**s. Find the first derivative of l(n) wrt n.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 4*p + 3. Suppose 34*w - 37*w - f + 171 = 0, -5*f = -3*w + 135. Let v(b) = -b - 5. Let s be v(-6). Suppose -9*h = w - s. Determine r(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**18*x**(4\/11))\/(x\/(x**4\/x))**18 assuming x is positive.\nAnswer: x**(598\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 99*n**3 - 20*n**2 - 3*n - 14. Let q(j) = 33*j**3 - 7*j**2 - j - 5. Let k(z) = 6*i(z) - 17*q(z). Give k(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -5 - (-13 + 5 - 1 - -33).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-25))\/((-32)\/80)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.66 - 0.34. Sort 0.3, p, 2\/3 in descending order.\nAnswer: 2\/3, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 437694*m - 2188520.\nAnswer: 2*(m - 218852)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (16 + 22 + -37)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 12*y - 8. Let k be v(-17). Suppose 3*h + 23 = k. Suppose h*p - 15*p - 162 = 0. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*w + 10*w + 13*w + (3 - 2 + 2)*(0*w + 4*w - 5*w).\nAnswer: 42*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvwwvwwwvwvwv. What is prob of picking 2 w and 1 v?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 626*q**2 - 1247*q**2 + 653*q**2. Let w(g) = -g**2 - g. Determine w(h(d)).\nAnswer: -1024*d**4 - 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(3\/13))\/q**(-4\/9)*(q\/q**(11\/5))\/(q\/q**(-6\/5)*q) assuming q is positive.\nAnswer: q**(-1594\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 2*l - 5. Let s(k) = k**3 + 35*k**2 + 99*k + 99. Let m be s(-32). Give y(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a\/((a\/a**(2\/21))\/a)*a)*a\/a**(1\/17))**(31\/5) assuming a is positive.\nAnswer: a**(-23839\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 s when four letters picked without replacement from aaaaaaaassssaa?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*q = 0, -4*a = 5*q - 37 - 2. Let w(r) = -r + 7. Let s be w(a). Let y be 28\/(-6)*(-6)\/21. Which is smaller: y or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 4*k**2 + 7*k - 6 - 2 + 27 in the form h*k + j + v*k**2 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -335373241*g + 201318252 with respect to g.\nAnswer: -335373241","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/1*24\/16. Suppose j + 4*j - p = 0. Let q be (33\/j - 3)*2. Solve 5*r + q = 15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*131 + (2 - 2). Let b = 5522 - 5387. Let i = b + n. Solve 2*y + 11 = 3*f + 4, 0 = -3*f + i*y - 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 i when four letters picked without replacement from oooooooooiooooo?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 0, -250, 0.4, -8\/9.\nAnswer: -250, -8\/9, 0, 0.4, 39","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 322*k + 23502. What is s(110)?\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*b**3 - 73*b**3 + 35*b**3.\nAnswer: 27*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 918*l - 187*l - 9.\nAnswer: 731*l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -5*m**4\/3 + 35*m**3\/6 - 15*m**2\/2 - 7*m. Factor d(w).\nAnswer: -5*(w - 1)*(4*w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2380985 divided by 476197\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1139200 to the nearest ten thousand.\nAnswer: 1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10}. Give prob of picking 2 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -511154105 (base 6) to base 7.\nAnswer: -134200364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.5 and 1.1?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9715695 by 3238565.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + 2 + -3 + -2. Suppose m = -p*m + 60. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18339736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -226835172 by -25203908.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/21 and 19\/113.\nAnswer: 2373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + ((-9 - -1 - -2) + -6 - -6) + 8.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*h**3 + 165*h**3 - 95*h**2 - 59*h**3.\nAnswer: 138*h**3 - 95*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -4997094?\nAnswer: 19988376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -213*o + 8 + 625*o - 217*o - 219*o. What is the remainder when y(-6) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -a + 3*o + 99, 4*o - 85 = -3*a. Let j(n) = -n**3 + 2*n**2 + 3*n + 32. Let w be j(0). Which is greater: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/16 and -17\/998.\nAnswer: 7984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 770\/9 + -14513\/171. Let s = i - 33\/76. Factor s*f + 1\/4*f**3 + 0 - 1\/2*f**2.\nAnswer: f*(f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184, -1182, -3886, -9148, -17820, -30754?\nAnswer: -48802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4c09 + b?\nAnswer: 4c14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -247\/8. Suppose 13*q + 12*q = 20*q. Is d <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2849*j**3 - j + 2162*j**3 - 40 + j + 38.\nAnswer: -687*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 20, -3, 2, 12 in increasing order.\nAnswer: -11, -3, 2, 12, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.1 >= -12\/9467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 + -2 + -6)*(-33)\/(726\/21329)?\nAnswer: 3, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 50*q - 554. Let d be x(-32). Suppose 3*c - c - 396 = 0. Calculate the greatest common divisor of d and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 268932.876.\nAnswer: 26893.2876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -2030?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532178?\nAnswer: 2, 266089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 4*o**2 - 33*o + 12. Let y be v(8). Solve 5 - 9 = -y*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n**2 - 7*n - 9. Let b(k) = 5*k**2 + 7*k + 8. Let g(z) = -5*b(z) - 4*s(z). Let x be 2\/9 + (-160)\/(-9). Suppose -15 = x*h - 15*h. Determine g(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-214*n**3 - 367*n**3 + 542*n**3 - 13*n + 1)*(5*n**2 - 2*n**2 - 5*n**2).\nAnswer: 78*n**5 + 26*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -113380?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 421718*g**2 + 0 + 1 - 5*g + 5*g. Let t be o(1). Suppose 2*s - t = 178281. Round s to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/14 - 58\/(-7). Suppose -f + 12 = g. Let c(i) = -i**3 + 6*i**2 - 2*i + 7. Let a be c(6). Put a, -3, f in decreasing order.\nAnswer: f, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**4\/4 + 17*j**3\/3 - 13*j**2\/2 - 3*j + 8. What is the remainder when 43 is divided by h(10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/342? (a) -16 (b) 1\/4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102113 (base 4) to base 8.\nAnswer: -2227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -89, 13, 115, 217?\n\"Answer: 102*r - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -13*c**2 - 4*c + 1. Suppose a - 2*a = -9. Let p(f) = 3*f**2 + f. Calculate a*p(l) + 2*q(l).\nAnswer: l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3 + 651\/(-9). Let x = v - -104. Suppose -3*k + x = 2*c + 2*c, -32 = -4*c - 4*k. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5631 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from {x: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8110?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*i = 190*i + 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*h = -107*h + 1608 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 35 - 13 = 0. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2804954 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 19. Let y be o(0). Let t = 362 + -360. What is the third derivative of -11*a**2 - 20*a**2 + 13*a**2 + 41*a**4 - y*a**t wrt a?\nAnswer: 984*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -5, 1\/22, 1126?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = c - 485, 9*c - 490 = 4*s + 7*c. Let j = 124 + s. Solve -g = g - j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (1 + -4 - 5)) + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 - -0.12. Let t = -0.3 + y. Suppose 25*u = 20*u. What is the second biggest value in u, t, 1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324011 (base 5) to base 10.\nAnswer: -11131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*y = -3*l + 56, 4*y - 28 = -3*l. What is the remainder when l is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 5*s + 3. Let b(h) = 2*h - 9. Let j be b(6). Suppose -3*q - 11 = -5*q - j*c, 2*q = -2*c + 6. Determine a(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Suppose -52 = 5*a + 3*i - 0*i, -s*i - 40 = 4*a. Is (-331)\/(-9) + a\/(-36) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2183 rounded to 2 decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/2588256 and -53\/210672?\nAnswer: 18117792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 601203319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28644.6 - 28645. Let i = -2.05 + 0.05. Which is the nearest to i? (a) -2\/11 (b) x (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1872)\/4368 + (-80)\/(-28)*(-19)\/4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*y**4 + 0 + 1\/6*y**2 + 1\/3*y - 1\/3*y**3.\nAnswer: -y*(y - 1)*(y + 1)*(y + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-30)\/(-175))\/(22\/55). Which is the smallest value? (a) -4 (b) 1\/5 (c) r (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214\/(-24) - (-45)\/5?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 18 = 4*f, f + 3*s = 3*f - 14. Is f >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2 + 163658\/80883)*(1\/2 + -1)?\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**2 - 93*t + 552 = 0.\nAnswer: 8, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 1:07 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -69823*s + 6842666. Determine d(98).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29533298 is divided by 51722?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 4. Let o be l(10). Let i be -3 - ((-4 - o) + 2). Let t be (-2)\/(i\/(-9) - 1). What is the highest common divisor of t and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-19)\/(-1))\/((-6)\/(-18)). Let z = k + -47. Let g be (-67 - (-2 - 0))*(-4)\/z. What is the greatest common divisor of g and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1150.906ml to litres.\nAnswer: 1.150906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/2)\/n)\/n)**(3\/13) assuming n is positive.\nAnswer: n**(-9\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -586 + 106 = 12*u. Let c = 48 + u. Suppose 2*g - 34 = -c. Calculate the remainder when 51 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (27848362588\/(-50))\/((-1332)\/(-95)). Let p = g + 39723640. Let o = p + 21\/74. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 - 5*a**2 + 13*a + 34. Is t(-10) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 + 46*p + 46. Let v be k(-22). Factor 2\/7*y**5 + 0 + 8\/7*y**4 + 2\/7*y + 8\/7*y**v + 12\/7*y**3.\nAnswer: 2*y*(y + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (2 + -5)) + 0 - -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3307 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 168\/44 + -3 - 1. What is the closest to 7 in -4, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 299 + -4?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 5:27 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**10\/30240 - f**7\/630 + f**4\/4 - 3*f. Let w(j) be the third derivative of u(j). Find the third derivative of w(c) wrt c.\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 22*z = 223, 17 = -4*a + 2*z + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17d9 (base 14) in base 15?\nAnswer: -1422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 9 = -2*y, 2*y + 2*m + 2 = -4. Suppose w + 30 - 35 = 0. Let v be ((w - 3) + -1)*(2 - -3). Solve y*p = -v - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of i**4\/48 - i**3\/4 - 7*i**2\/8 + 44*i + 40. Let k(s) be the first derivative of u(s). Solve k(p) = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 78384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 199725558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-60)\/(-3))*(-35)\/((-3920)\/(-32))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 9*f + 15*f - 4*f)*(1 + 0 - 8 + (-1 - 2 + 2)*(11 + 6 - 6)) in the form s + r*f and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/(-21))\/(1 + 413\/(-411)). Let w = i - 156. Which is greater: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -4\/17 (b) 0.2 (c) 8235\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(-75)\/(-6)*32\/20. Suppose -q = -5*s - 5*f, -51 - 57 = -5*s + f. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 4*y**2 - 7*y - 7. Let i be g(-5). Suppose i*x + 2 = 26. Suppose -2*u - 12 = -x*u. Solve -u*n + 5 = -3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 14. Let o(d) = -d + 12. Let p(m) = 4*o(m) - 3*r(m). Let v be p(5). Let y = -2.08 + 0.08. Which is the closest to v? (a) 5 (b) 2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -349 + 491. Let t(c) = -4*c**2 + s*c**3 - 143*c**3 + 0*c**2 - 3*c + 7*c + c**2. What is t(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 475, 491, 507, 523, 539, 555?\n\"Answer: 16*u + 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1136071*f**4*i**2 - 25*f**2*i**3 - 721*f*i**2 + 230*f + 3*i**3 - i wrt f?\nAnswer: -13632852*f**2*i**2 - 50*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 7 (b) -21070 (c) 31 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 242269\/24 - 10096. Calculate the common denominator of t and 181\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -175 + 118. Let b = l - -58. Sort b, 5, -4.\nAnswer: -4, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*i, -4*q - 10 = -2*q + 3*i. Let o be (1 - (0 - -3))*q. Solve -o*n + 15 = -3*x - 0*n, -5*n = -15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3500, -10747, -22810, -39677, -61336, -87775, -118982?\n\"Answer: 2*q**3 - 2420*q**2 - q - 1081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2. Let p(b) = -b - 8. Suppose 2*k = -4*k - 60. Let c be p(k). Let u(l) = 6*l**c - l**2 - 2*l**2. Give u(d(x)).\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -132*k + 12. What is the remainder when 725 is divided by j(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -438, -1756, -3962, -7056?\nAnswer: -11038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q + 0 - 8\/3*q**2 - 1\/3*q**3.\nAnswer: -q*(q - 1)*(q + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -241920.\nAnswer: 725760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 404 = 4*k, -4*i - 102 = k - 2*i. Let y be (-111)\/135 + (-15)\/k*4. Which is the closest to y? (a) 1\/2 (b) -9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*v**3 - 2*v**2 - 1111*v.\nAnswer: 42*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -36, -85, -158, -267, -424, -641?\n\"Answer: -2*a**3 - 35*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2317753 to the nearest integer?\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1352\/15 + 879\/10. Let d = -38\/15 - g. Let m = -75\/2 + 37. What is the closest to 0 in d, 4, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + 1*sqrt(1700) + 3 + (sqrt(1700)*-2 - sqrt(1700)))**2 + (sqrt(68) + 5*-2*sqrt(68))\/(sqrt(16)\/(sqrt(16)\/sqrt(4) + sqrt(4))).\nAnswer: -98*sqrt(17) + 6809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 4 + -4 - (7 - 23)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -17. What is the remainder when l is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 18 = 10. Let v = m + -2. What is the smallest common multiple of v and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**2 + 49*p - 78. Calculate the least common multiple of 168 and n(10).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 315*s**5 + 175*s**4 - 76*s**3 - 552*s**2 + 632*s - 68 wrt s.\nAnswer: 18900*s**2 + 4200*s - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 444, 1405, 3178, 6009, 10144?\nAnswer: 15829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (1 + 3\/(-3)). Let f be -2 + 4 - (h + 0). Suppose 7*u = f*u + 35. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -3.12.\nAnswer: 0.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -420 or -451?\nAnswer: -451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 210.5741 litres?\nAnswer: 210574.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 1)*(0*f + 3*f - 5*f)*(-f + 0*f - 8*f) to the form l + r*f**2 + u*f and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2 - 7*v + 16. Let z(i) = -2*i**2 + 4*i - 8. Let d(p) = -p**2 - 9*p - 15. Let f be d(-7). Let r = f + 8. Let o(s) = r*z(s) + 4*q(s). Factor o(g).\nAnswer: -2*(g - 2)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -340 (b) -3 (c) 2802\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 99, 87, 61, 15, -57?\n\"Answer: -l**3 - l**2 - 2*l + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4160 and 5132656?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/4*(51 + 11385\/(-297)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -37*k + 4. Suppose 5*w = -4*r - 170 + 119, 4*w + 30 = -2*r. Let d(n) = -18*n + 2. Calculate w*y(a) + 7*d(a).\nAnswer: -15*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (0 - (-2 + -2) - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 372058290 divided by 9.\nAnswer: 41339810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 293610?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 44, 45, 48?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 5*g**2 - 7*g - 5. Let m = 7 - 9. What is the remainder when (m + -55)*(-2)\/6 is divided by i(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*c + 316 + 34 = 2 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10678907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 12*t**2 + 2. What is the units digit of u(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 2664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 9*m**2 - 7*m - 6. Let q = -12 + 20. Let h be z(q). Solve d = n - d + 7, -h*d + 8 = -2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (7 - -2)) + (1 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3)\/a*a**(-7))**(17\/5) assuming a is positive.\nAnswer: a**(-442\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 855387 + -415202. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 36\nAnswer: -5\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 137124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*p - 134653 + 130243 = 0 for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 0*g**2 - 3*g**2 + (-3*g - g + 3*g)*(3*g - 3*g + 2*g))*(2 - 3 + 11)*(-3 + 3 - 2).\nAnswer: 80*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, m: 1, p: 3, r: 1, j: 2, d: 2}. Give prob of picking 3 z and 1 r.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -80*p - 2 - 2*p**2 + 78*p - p**2. Let y(u) = -4*u**2 - 2*u - 2. Give 5*i(w) - 4*y(w).\nAnswer: w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2. Let k(y) = 49 - 14*y + 9 + 23*y - 2*y. Let j be k(-8). Let p(v) = 72*v**2 - 129*v**j + 67*v**2. Give q(p(z)).\nAnswer: 300*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363234.\nAnswer: 2, 3, 60539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -561.0829701 rounded to 2 dps?\nAnswer: -561.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1226457 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -0.3, -5\/3 in descending order.\nAnswer: 2\/15, -0.3, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2150\/40 - 3\/4. Suppose -p = -7*k + 304. Let i = 5 + k. Does 28 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 4646 = -g + 4*y, 0 = y + 1. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -771*j - 258 + 106 - 301 - 132.\nAnswer: -771*j - 585","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1038.982 + 1033. Let f = 0.748 - l. Round f to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4117788 and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17\/5 - 66\/(-110). Suppose -7*a = -h*a. Solve 5*o - 6*o + 3 = a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.5 (b) 0.07 (c) 3 (d) -4 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-258)\/946)\/(12\/506))\/((-1)\/(-2))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/13*t**2 + 0 - 6\/13*t**3 + 2\/13*t**4 - 2\/13*t.\nAnswer: 2*t*(t - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-65)\/63)\/(-1) - 1. Are 0 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 938 and 732042.\nAnswer: 5124294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2 - 2)*(167100 + 504*s**2 - 167100).\nAnswer: -1008*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, i: 5}. Give prob of picking 3 i.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, q: 1, l: 2, c: 2, k: 1}. Give prob of picking 3 c and 1 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -9*i + 781. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195271920?\nAnswer: 2, 3, 5, 271211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/240 and 77\/150.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 7\/3*i**3 - 1\/4*i**4 - 13 + 2*i + 2*i**2. What are the prime factors of r(6)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, 2\/35, -1?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -5, 6 in descending order.\nAnswer: 6, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*a*n**2 + 14*a*n*z - 182*a - 377057*n**2*z + 31*n*z - 5*n wrt n?\nAnswer: 28*a - 754114*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 80, 109, 150, 203, 268?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6345*f**3 + 3191*f**3 + 3152*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -28462 - 37752. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -214\/33 + 15263\/2145. Calculate the common denominator of k and -11\/40.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 - 19*f**2\/2 + 425*f\/4 - 289.\nAnswer: (f - 17)**2*(f - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(2\/7))*l)\/l*l**3*(l**0)**(-14) assuming l is positive.\nAnswer: l**(19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*m - 27*m - 689 = 0. Calculate the greatest common divisor of m and 689.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/4380 + 2038\/365. Find the common denominator of -67\/20 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 35. Let r be s(18). What is the third derivative of 41*q**2 - 17*q**2 + 16*q**6 - r*q**2 wrt q?\nAnswer: 1920*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*j - 2*o = -3*o - 269, 4*j + 4*o = -1712 + 1752 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 826 is divided by 542.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 3. Let x = -155\/1034 - 3\/94. What is the smallest value in -1, x, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -33.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -259*h**5 + 224*h wrt h.\nAnswer: -5180*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 4\/3*b**3 - 3*b**2 + 5\/12*b**4 + 0 + 2*b. Is j(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 14, w: 5}. Give prob of sequence gwgw.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 9675.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1922, -7625, -17110, -30377, -47426?\n\"Answer: -1891*x**2 - 30*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 5:17 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 726 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -9*j + 1 + 32*j - 12*j - 10*j. Let h be c(0). Suppose 0 = -3*n + 4*n - h. Which is smaller: 20 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -153.42317 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-1))**49)**(-39))**26)**25 assuming w is positive.\nAnswer: w**1242150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n**2 + 2*n + 38. Let t(l) = -27*l**2 + 7*l + 113. Let r(u) = 2*t(u) - 7*x(u). What is the derivative of r(k) wrt k?\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1282 divide 67778058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708*n - 18900 = -1182*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 32.1 times 13950\nAnswer: 447795","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/3)\/((-14)\/(-7)). Let p be ((-4)\/5)\/(2\/5). Which is the nearest to p? (a) q (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 105 - 16?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -100*((-7)\/((-840)\/45))\/((-12)\/8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.31 + -1.21. Which is bigger: w or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.16, 0.0581, 114, -3 in decreasing order.\nAnswer: 114, 0.16, 0.0581, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -247837, -1982673, -6691517, -15861373, -30979245, -53532137, -85007053, -126890997?\nAnswer: -180670973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 4. Let z be (-2)\/(f*1\/(-2)). Is 0 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 55*r - 51. Let d be l(-54). Let o(t) = -t**2 - 8*t + 35. Let j be o(d). Determine m, given that 18\/7*m - 12\/7*m**j + 0 + 2\/7*m**3 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, d: 9, j: 1, z: 1}. Give prob of sequence tdzd.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11422782?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1199*t - 1258*t + 16992. Calculate the greatest common divisor of t and 468.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284384039 to the power of 1\/2, to the nearest integer?\nAnswer: 16864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 4574142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*k - 249 = 0, -f + 3*f + 5*k - 121 = 0. Suppose 2*n = 5*j + f, 4*j + 30 = n + 2*j. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 679, 1664, 3305, 5602, 8555, 12164, 16429?\nAnswer: 21350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**3*l - 1415*j**3 - 28*j*l + 2*l + 30 wrt j.\nAnswer: 6*j*l - 8490*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (47 - 53833\/1148)\/((-5)\/(-360))?\nAnswer: 54\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2420653135?\nAnswer: 5, 31, 743, 21019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**2 + 34*k - 22. Give q(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 11*m**2 - 2*m - 15. Let w be i(-11). Let d be ((-8)\/14)\/((-2)\/w). What is the second derivative of 5*l - 3*l**2 - 3*l - 5*l**d + 4*l**2 wrt l?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g + 47 = -34 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w - 3*w + 1 - w**2 - w - 6*w - 50*w**4 + 13*w in the form a*w**4 + p*w**2 + n*w + k*w**3 + c and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 551 and 9728.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69405551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b - 1. Let f(j) = -j**2 + 2*j + 3. Calculate 4*d(k) + f(k).\nAnswer: -k**2 + 10*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-1\/8)\/h*h))\/(h*h\/h**22))\/(h**(4\/9)\/h)**(-16) assuming h is positive.\nAnswer: h**(881\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + i**2 - 20*i - 20. What is s(-5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f - f + f + (2 - 13 - 6*f + 5*f)*(11 - 18 - 35) to the form v*f + t and give t.\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 205366812 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + -3 + -8 - -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 78 - 66 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1688\nAnswer: -1\/422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 2*j**2 + j + 1. Let t(g) = 3*g**3 + 9*g**2 - g - 3. Let u(z) = 4*d(z) + t(z). Calculate u(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of 4277851.5 and 3.\nAnswer: 12833554.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3834*h + 3820*h = -84. Solve q + 0 = -4*c + h, -4*q + c = -7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - p - 1. Let d(j) = -8*j**3 + 4*j**2 + 18. Let h(m) = 2*d(m) + 28*q(m). Factor h(c).\nAnswer: 4*(c - 1)*(c + 2)*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 410 (b) -1\/116 (c) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.33 - -1.33. Sort -5, 0, 1\/6, g.\nAnswer: -5, 0, 1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27043 times 4\nAnswer: 108172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + 1 + 2 + -6. Let g(p) = 2*p + 63*p**2 - 4 + d + p + 0. What is the units digit of g(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**1))\/l)**(4\/3)*(l**(-5\/3)*l)\/(l*l**(2\/11)) assuming l is positive.\nAnswer: l**(-61\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.4, -267\/2, 0.1, 0, 2.52?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 6*g**2 + 4*g + 3. Let q be o(5). List the prime factors of q\/(-9) + (-291)\/(-27).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31464 is divided by 10100.\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -y - 6, 314*y = 304*y - 2*f - 24 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i + 6. Let x(d) = -22*d - 19. Let v(t) = 4*x(t) + 11*y(t). Find the first derivative of v(l) wrt l.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32fca4 (base 16) in base 13?\nAnswer: 8ccc08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -2*g + 9, 0 = -j + 2*g - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 128455*m*w + 114181*m wrt w.\nAnswer: 128455*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i + 13. Calculate p(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 22)*15\/(-10). Let a = 54 + n. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-20) + 5 - (-3 + 33\/9)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -248 + 247.639. Let g = m + 0.061. Which is the fourth biggest value? (a) 0.1 (b) -3\/2 (c) 0.2 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/124272 and 79\/1133982.\nAnswer: 9071856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2. Let k(v) = -964292*v**2. What is k(n(y))?\nAnswer: -3857168*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(2\/7)*m*m)\/m)\/m**(-1\/5)*(m\/((m\/(m\/m**0*m))\/m))**19)**(-2\/197) assuming m is positive.\nAnswer: m**(-4094\/6895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 988163 is divided by 68.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 13 = -6*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -6162514?\nAnswer: 3081257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -66*y + 1391. What is s(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 7*n - 10. Let b be h(-2). Let q be -5 + 88\/b + -8. Let f(x) = x**2 - x + 1. Let m(g) = -6*g**3 + 2*g**2 - 2*g + 2. What is q*m(w) + 4*f(w)?\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**6)**(2\/93) assuming g is positive.\nAnswer: g**(-10\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2927302?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -16. Suppose d - 9 = 2*t, q*d - 3*t + 47 = 6*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 31) + (0 - -2). Suppose 0 = z - 4*k + 25, -4 = -5*k + 6. Let y = z - u. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 1 - 1239*i + 1251*i - i**2 + 3. Let r be w(6). Suppose -41 = -2*y - 5*d, -4*y = -2*d - d - 17. What is the greatest common factor of r and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 17*d**2 - 13*d + 8. Give c(-18).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 3:21 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -6.25?\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 5 (c) 2 (d) 1 (e) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/20 + (-82859)\/(-161980)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -396.1 rounded to the nearest 10?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (9 - 12) + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - r**2 + r + 3. Let c be 0*(-1 - -3 - 3). Let t be x(c). What is the highest common factor of 15 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*x - 0*z + 26, 0 = -5*z - 20. Let j(t) = t. Calculate j(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -196 + 196.29. Let q = -3.71 - d. What is the second smallest value in -4\/9, 4\/9, q?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17)\/4 - 1\/(-4). Suppose -5*p = g - 586 - 119, -4*g = 5*p - 705. Let v = p - 140. Put v, f, -5 in ascending order.\nAnswer: -5, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -289*f + 1005*f - 333 - 146 + 1125*f - 720 wrt f.\nAnswer: 1841","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1017943 <= -1017944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-378*m - 185 - 378*m + 758*m)*(4*m - 2*m + 0*m)*(-2*m**2 + 2*m**2 + 2*m**2) to the form s*m**2 + d*m**3 + w*m + x + o*m**4 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 730 + -1459\/2. Factor -1\/3*h**2 - t*h + 1\/6*h**5 + 1\/2*h**4 + 1\/3*h**3 - 1\/6.\nAnswer: (h - 1)*(h + 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*j + 33, u + j = -4*j - 23. Suppose -2*l = 3*v - 15, 0*l - v + 5 = u*l. Factor 0 + 3\/5*d**2 + 3\/5*d**4 + 6\/5*d**3 + l*d.\nAnswer: 3*d**2*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 11425, 4, 29 in increasing order.\nAnswer: 4, 7, 29, 11425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**2\/4 + 105*v - 1617 = 0.\nAnswer: -154, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 - 5 + 1121*f + 2.\nAnswer: 1121*f - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 299*i + 2 = 304*i, -3*f + 2*i = -6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260, 1062, 2406, 4292?\nAnswer: 6720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 3. Suppose 3*t - 5*k = t + b, -2 = k. Let s(f) = -f**2 + 7*f - 4. Let r be s(t). Solve -4 = 4*w + c + 7, 0 = r*c - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -11. Let v(d) = -j + 6 + d. Let c(y) = -y**2. Give c(v(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116014798?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3060 + 3381. What is the remainder when z is divided by 97?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16bb8 (base 16) in base 10?\nAnswer: -93112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 16 = -43. Let w = -2 + 16. What is the remainder when h is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 35\/6*u - 152\/3 - 1\/6*u**2 = 0.\nAnswer: 16, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-two fifths of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13662?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 7:50 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-8)*(-516)\/387.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*f + 232 = -4*g + 38, -g = 3*f - 0*f - 10 - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 12814436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/169838 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 2\/5 (c) -7\/4 (d) -4 (e) 355\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 781*o + 4. Let d(g) = -1160*g - 6. What is -5*d(w) - 8*r(w)?\nAnswer: -448*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52325 and 12719.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1344) - 1*sqrt(1344))*-6)\/(sqrt(21)\/(-3*(sqrt(7) - sqrt(14)\/sqrt(2) - sqrt(7)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12 + 9)*(-10)\/6. Find the second derivative of -u*a**2 - 3*a + 0*a + a**2 wrt a.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 713 and 5106.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 508 = -386. Let m = 39 + b. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jouuoyvouuuou. What is prob of sequence uovo?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**2 - 11*w + 1. Let t be q(3). Suppose 0 = -5*r + 8 + 7, -4*y = t*r - 1208. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 9:07 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3375 divided by 5.\nAnswer: -675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 11 = d + 3, 4*d + 3*i = 13. Sort 1, -177, 2, d, -3.\nAnswer: -177, -3, 1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40790371*c**2 + 131653*c - 42 wrt c.\nAnswer: 81580742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*h, -4*f = -8*f + 2*h + 230. Suppose -4*q = -2*q - f. Calculate the smallest common multiple of q and 42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 6*y**2 - 28*y + 19. Calculate the remainder when j(-6) is divided by 45.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-79)\/115 - ((-190)\/25 + 7).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 1501?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12260164 (base 8) to base 12\nAnswer: aa9304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -262 * -0.1232.\nAnswer: 32.2784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4062.\nAnswer: 2, 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n - 43. Let q be b(-9). Let k be q\/6 - (10 - 10). What is the nearest to -1\/4 in 4\/9, 10, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) 8 (c) -0.4 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-27))\/(1\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43885516 divided by 10971379.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/531 and -89\/3617998.\nAnswer: 32561982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 14*m - 1. Calculate i(5).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -30. Suppose -w*j + 44 = -4*n, 0*j = j + 3*n - 32. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-2))**(40\/7)*r**(-3)*r\/(r*r**(-6)))**10 assuming r is positive.\nAnswer: r**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.8498212g?\nAnswer: 849821.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 1)*(-k**2 + 7*k**2 - 5*k**2) + k**2 - 2*k**2 + 0*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 14. Let b(s) = 32 - 7*s + 7*s**2 + 4*s**2 - 28 + 2*s. What is the tens digit of b(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125597.1 months to years.\nAnswer: 10466.425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10008.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 7. Let r(n) be the third derivative of 0*n**3 + 1\/72*n**l + 0*n + 1\/90*n**5 + 1\/360*n**6 + 0 - n**2. Factor r(w).\nAnswer: w*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -i + 4, -17*i = -18*i - 2*s + 10. Let x(k) = 2*k - 3*k**2 + 4*k**2 - 2*k**2 - 2 + 6*k. Determine x(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78090 divided by -38\nAnswer: 2055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 12*a - 16. Find the second derivative of g**3 - 373*g**4 - a + 82*g + 371*g**4 + 6*g**3 wrt g.\nAnswer: -24*g**2 + 42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.012, 3, -3, 26, 0.4.\nAnswer: -3, -0.012, 0.3, 0.4, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 734 (base 9) to base 8.\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*z**3 - 8*z**3 - 4*z**3 - z**3.\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 9*o**2 - o - 1. Let x(n) = n**3 + 10*n**2 + 16*n + 5. Let h be x(-8). Suppose -1 - 9 = h*a. Let s(c) = 4*c**2. Calculate a*b(l) + 5*s(l).\nAnswer: 2*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**4\/12 - 5*w**3\/6 + 8*w**2. Let g be x(-4). Suppose g*c + 201 - 846 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 331 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-810)\/(-70))\/9*-7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*j - 57*j - 1726 = 95*j + 1288 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -5, -0.5, 3\/52, 1\/4, 4.1 in ascending order.\nAnswer: -5, -0.5, 3\/52, 1\/4, 4.1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 756476 and 108068?\nAnswer: 756476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -310 + 315. What is the third derivative of d*u**5 + 182*u**3 - 178*u**3 - 23*u**2 - 4 - 1 + 5 wrt u?\nAnswer: 300*u**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, o: 7, i: 5}. What is prob of sequence miio?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28373*o**4 - 9*o**3*v + o**2*v + 744*o*v - o - 4 wrt o.\nAnswer: 340476*o**2 - 54*o*v + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*h - 22*h - 24 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 108*q*u*v - 316*q*v - u*v - 3*u + 4*v wrt u?\nAnswer: 108*q*v - v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2040 times 4?\nAnswer: -8160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 2*a**2 - 5*a**2 + (0*a + 2*a + 0*a)*(2*a + 2*a - a))*(2*a**2 + 4 + 2 - 9).\nAnswer: 8*a**4 - 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 - -4 - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 2*a**2 - 5*a - 6. Let y be l(2). Solve 2*q = y*m - 20, 29 = 5*m - 4*q - 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268267005.\nAnswer: 3, 5, 733, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q + 36 = -31*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 5*s**2 + s - 9. Let i be h(-6). What is the highest common divisor of i and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + -70 + 26 - (-1 - 7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4446*n + 22. Let o be z(6). Let j = o - -586493\/22. Calculate the common denominator of 41\/4 and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 9*m - 11. Let c be o(0). Let s(d) = -d - 8. Determine s(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**6\/6 + 2*l**5 + 35*l**4\/4 - 20*l**3\/3 - 50*l**2 + l + 199. Let m(s) = 0. Calculate s.\nAnswer: -2, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -4*b + 1\/720*b**6 + 0 + 0*b**2 + 2\/3*b**4 + 0*b**3 - 1\/40*b**5. Let f(l) be the third derivative of r(l). Calculate f(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 13.5. What is r rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2100891980 by -6.\nAnswer: 1050445990\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2858\/8 + 107\/(-428).\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1751974\/9 - -194664. Solve -34\/9*x - 14\/9*x**3 + g*x**4 + 34\/9*x**2 + 4\/3 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12361472 a multiple of 443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17702 divided by -3.\nAnswer: -17702\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 429.619 + -428. Let k = 1.6 - j. Round k to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -1 - ((8 - 7) + 0 + -8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002666236 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4264 + -4559. What is the third biggest value in -1\/6, -0.5, 1\/3, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 0*b**6 + 1\/12*b**4 + b + 0 + 0*b**3 + 1\/28*b**8 + 0*b**5 + 0*b**7 + 0*b**2. Find the third derivative of s(j) wrt j.\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z**3 + 4*z**2 + 11. Let p(h) = -5*h**3 + 3*h**2 + h + 9. Let f(t) = -3*k(t) + 4*p(t). Let r be 2\/4*(3 - 7). What is f(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3 + -0.9. Which is the closest to -10? (a) 0.5 (b) v (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*i + 2*t - 18 = 22*i, 10*t + 20*t = -i - t + 6 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -809*b + 22 = -808*b - 3*q, -4*b + 68 = -2*q for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -696*g = 1164*g - 25919 - 1981 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3034852594634 take away -3?\nAnswer: -3034852594631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 20*y - 9 + 65, -4*x = 644*y - 1288*y + 639*y - 31 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 2*n**2 + 3*n + 678. Let q(t) = 21*t + 210. Let m be q(-10). Is s(m) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 79 = -4*i, i - 6*i = -3*q + 74 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-44 - (-11 - 16))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 116 - (-16 + 33) - (2 + (-4 - -5) + 7)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -34*p - 3. Let a(f) = -407*f - 37. What is -3*a(d) + 37*v(d)?\nAnswer: -37*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from poqawqap. What is prob of sequence pap?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 90.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o. Let r(b) = -b. Determine p(u) + 2*r(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409*p - 408*p = -1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215233990?\nAnswer: 2, 5, 21523399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m. Let a be z(2). Suppose 0 = -2*w + 4*s, w + 3*w = 2*s + a. Solve v + w - 3 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -129 - 74a67?\nAnswer: -75095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1296060 - 773940. What is s rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -16*k - 10. Let q be i(-4). Let c be (-41890)\/(-8) + q\/72. Suppose p + 2*x = 2621, -c = -2*p - 4*x - x. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2511262 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*n - 35. Let r be (0 - (0 + -9 + 0)) + -4. Suppose 32 = r*p + n. Let i(c) = -c - 5. Calculate i(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = -2*d, 0 = 5*m + 5*d + 20. Suppose 2*p + 9 = -b - 0*b, m = -3*b - 4*p - 17. Does 3 divide 9 + (-2 + 1 - b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from hhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 390\/17 or 1490?\nAnswer: 1490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.04, 0.02, -0.04.\nAnswer: -0.04, 0.02, 0.04, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 + 2 = 0. Suppose k - 4*d + 3 = 0, 2*k - d - 24 = -k. Let u = f - k. Which is the second smallest value? (a) -0.1 (b) u (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2 + 3*z. Let q(r) = r**2 + r. Let s(g) = 2*c(g) - 6*q(g). Let j(d) be the second derivative of -5*d**4\/12 + 146*d. Determine s(j(h)).\nAnswer: 50*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7701 - -7693.709. Round t to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 20 + 20. Let w(n) = -n**3 - 9*n**2 - 10*n - 12. Let c be w(q). Let p be 26\/c + 4\/(-8). Is p != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 1 - i + 3*i**3 - 5027*i**2 + 103*i**2 - 2037*i**2.\nAnswer: 3*i**3 - 6961*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 367.9999849 + -368. What is v rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -127686000 to the nearest one million.\nAnswer: -128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -353, -1020, -2005, -3302?\nAnswer: -4905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -8*z**2. Let w(m) = -24*m. Calculate w(l(k)).\nAnswer: 192*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -98 * -3\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**2 - g - 1. Give k(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 86\/755 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -1\/4*j**4 + 0 + 0*j**2 + j - 1\/3*j**3. Find the second derivative of t(x) wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11158939 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/8 (b) -0.1 (c) 4 (d) -1\/5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**2 + 2*n**2 - 2*n**3 + 0*n**4 - 11*n**4 as j*n**2 + r + f*n + t*n**3 + a*n**4 and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 118266 or -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10*-1)\/(288\/(-8256)). Let y = q - 286. Determine i, given that -2\/3*i**2 + 0 + 4\/3*i + y*i**4 - 4\/3*i**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-seven halves of a hour?\nAnswer: 2310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 94069 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n - 37*n + 2191 = 0. Let c = 318 - n. Let a be (-4)\/(-8) + 6\/4. Solve -c*g + a - 1 = 4*t, -3*g = -3*t - 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**6\/360 - 2*z**3\/3 + 3. Let d(c) be the third derivative of p(c). Let x(f) = f. Determine x(d(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2315240023 - 1?\nAnswer: 2315240022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -159 + 163. Which is the second smallest value? (a) h (b) -4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 4914?\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42\/(-28)*(141\/(-45) + 3). Let v = -0.1 - -0.2. Which is the nearest to v? (a) -3\/2 (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2350520.49 to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 563*u - 290*u - 284*u = 44 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55249, 110490, 165753, 221050, 276393, 331794, 387265?\nAnswer: 442818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from hhbqbhqhuqjhjub?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 3, 5, -3, 7, 303 in increasing order.\nAnswer: -3, 3, 5, 7, 26, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 3480 = 14*l. Let w = l - 508. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 2*d + 2 = 0, 4*w + 0*d - d = -6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -15, 4, -5.\nAnswer: -15, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 1\/6, 24, 0.2, -4, 0.063?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 90769869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 11*p**2 + 67*p + 74. Let c(i) = -8*i**2 - 45*i - 49. Let v(w) = 7*c(w) + 5*g(w). Let k be v(21). Solve -7*z + 3*m = -2*z + k, z + 2*m = 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 15, -1\/2, -5.48, 5, 2\/3, 4 in descending order.\nAnswer: 15, 5, 4, 2\/3, -1\/2, -5.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/183 and 139\/2622756.\nAnswer: 2622756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -1\/2*r**2 + 1\/2*r**4 - 1\/6*r**6 - 2\/3*r**3 + 1\/5*r**5 + 11 + r. Factor y(s).\nAnswer: -(s - 1)**3*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -392*t**5 + 2370*t**4 + 5772*t**3 + 2866*t**2 - 144*t = 0.\nAnswer: -1, 0, 9\/196, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -7. Let b(w) be the first derivative of -w**3\/3 - 9*w**2 - 3*w + 19. Is 14 a factor of b(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 3*a**2 - 7*a - 1. Let r(u) = u**3 + u + 1. Let j(k) = -m(k) - 2*r(k). Suppose 4*p = 3*i + 1, 5 + 2 = 3*p - i. List the prime factors of j(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 231 + -1250006?\nAnswer: -1246445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/3*(-380)\/(-456). Let g = -3 + 2. Sort -2, -3, s, g in descending order.\nAnswer: s, g, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*r + 23 + 313, 262 = 3*r + 4*d. Suppose 7*g = 3*g - 168. Let c = -21 - g. Calculate the remainder when r is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9404177?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0, 4 in increasing order.\nAnswer: -10, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2. Let m(z) = -z - 3*z + z + 0*z. Give m(a(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 - 3*o - 9. Let b be u(-3). Let v = b - 17. What is the least common multiple of v and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 882?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v + 292 = 0. Calculate the remainder when v is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j = 7*n - 10*n + 5, -4*n = -4*j + 28 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -378.87 - -382. Let z = p + -1.44. Round z to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130154 - -0.1\nAnswer: -130153.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/30 and -83\/270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70012, -280015, -630022, -1120033?\nAnswer: -1750048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/150)\/((-4)\/((-20)\/3)). Let c(s) be the second derivative of -1\/50*s**5 + 0*s**4 + 1\/5*s**3 - 4*s + g*s**2 + 0. Factor c(x).\nAnswer: -2*(x - 2)*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, o: 1, u: 4, m: 1, y: 6, g: 4}. Give prob of picking 1 l and 1 u.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 622627, 10, -2, 4 in increasing order.\nAnswer: -2, 4, 10, 622627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, i: 1, y: 5, g: 1}. Give prob of sequence ziz.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*f**3 + 196*f**2 + 151*f - 34.\nAnswer: (f + 1)*(f + 17)*(11*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + (-25055)\/(-5) + -6.\nAnswer: 3, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*o = -j + 4, -4*o - 36 = -5*j. Let w be (-2)\/(j\/(-3) + 1). Which is smaller: w or 7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = a - 49, -8*i - 33*i + 32*i + 2*a - 103 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 4\/7, -0.4, 1\/11, -4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**4\/24 - 3*z**2. Let s be u(4). Calculate the least common multiple of 10 and (s\/(-3))\/((-4)\/48).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.5 less than or equal to 6436?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 149?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 20 * 2.7\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**4\/12 + 28*a - 5. Let t(b) = 7*b**2 + 74*b. Determine t(u(y)).\nAnswer: 7*y**4 + 74*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4782972079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -26864, -4, -5, -1 in ascending order.\nAnswer: -26864, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43617 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 + 7*s - 2. Let d be w(-5). Let p(c) = 5*c**2 + 3*c + 5. Let v be p(-4). Suppose 3*q - d = v. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*j**6 - 45*j**4 - 38*j**3 + 221*j**2 + 18*j - 6?\nAnswer: -2400*j**3 - 1080*j - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2 = 18, 2*c - 3*j = 3014. What are the prime factors of c?\nAnswer: 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.26 or 8?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7)*v*v**(-2\/9))\/(((v*v**(2\/3))\/v)\/v*v**9) assuming v is positive.\nAnswer: v**(-479\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59813085*w**3 - 3*w + 112308870 wrt w?\nAnswer: 179439255*w**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2198, -1268 in increasing order.\nAnswer: -1268, -3, 2198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 1729983\nAnswer: 1729982.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 + 14 + (0 - 3). Suppose 5 = -g*r + 3*r. Let f(p) = -p - 1. Determine f(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 11*a - 72. Let n be w(-11). Let b = n + 239. What is the remainder when b is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 5:45 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*q + 4*i = 43, q - 46 = 5*i. Suppose -19*c = -q*c. Suppose b = 4*a + 86 + 99, -4*a - 4*b - 160 = c. Round a to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 1895512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 641\/1176?\nAnswer: 641\/1176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-40)*-115 + -6 + -6*1. What is the third biggest value in 1, -0.0446, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = o - 2. Is (o + -72)\/((-2)\/1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 296 + -323. Put l, -4, -1 in increasing order.\nAnswer: l, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + (-849)\/(-9))*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 + -47.0864074363.\nAnswer: -179.0864074363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 45 = -27. Let s be (1 - 5) + m\/3. Calculate the greatest common divisor of s and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 6675346\nAnswer: -6675345.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 68567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g - 2. Let p(d) = 4*d - 3. Let x(k) = -3*i(k) + 2*p(k). Let l be x(-3). Let y(s) = 5*s - 5. Let w be y(4). Solve -l*r - 2*r = -w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t + t**2 + 3745 - 6*t - 3741. Let d be z(4). Solve d*b = -2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 4\/7, 0, -4, -2, 0.067215?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 60*11\/((-66)\/(-8)). Suppose -13*b = -9*b - j. Suppose w = 206 - b. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-14))\/(5\/(-10))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (1 - (12 - 1)). Suppose v*g - 9*g = -3. Solve -5*z = -2 - g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 3*v + 3, -2*v + r - 18 = -4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -1, -7, -13, -19, -25?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -3, -0.1, -5, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 235980 and 2907?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -34, 2, -66, 1 in increasing order.\nAnswer: -66, -34, -5, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 89, 88, 87, 86, 85?\n\"Answer: -j + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/2 of a minute?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 0. Let f = j + 11. Calculate the highest common factor of f and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y - 38*y + 11*y - 23*y - 2*y. Let o(b) = -21*b**2. Give o(g(s)).\nAnswer: -46389*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*r**(1\/3))\/r)**(11\/2)*(r*r**(-1)\/r*r)**(-22))**(-24\/7) assuming r is positive.\nAnswer: r**(-176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 23 + -49 + 34 - (-55 + (1 - -1))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 4:09 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (3 + (5 - 15) - 56\/(-6))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 7*w - 108, 3*w = 16*s - 12*s + 33 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3396 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**(-2\/5)*z**(-4\/5)*z\/(z\/(z\/(z**5\/z*z*z))))\/((z*z**(-13))\/(z**(4\/9)*z))**6 assuming z is positive.\nAnswer: z**(1123\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + sqrt(252) + (sqrt(252)*-2 + sqrt(252))**2 + sqrt(252) + -1.\nAnswer: 18*sqrt(7) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 6*x - 1. Let l be h(7). Let b = -5 + l. Let s be (-2 - b)\/((-2)\/16). What is the greatest common divisor of 216 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + 3 - (1664 - 1659)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3465032524?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50*3\/(-24) - 1*(-54)\/(-9).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11 + -0.44. Let j = 0.03 + -0.1. Let a = u + j. What is the third smallest value in 0.4, 3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 610, 1311, 2010, 2707, 3402, 4095, 4786?\nAnswer: 5475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m + 80 + 0 = 0 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -66965.4 to the nearest 1000.\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 989 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-16)*w)\/w*w)\/w**19)\/(((w\/((((w\/(((w*w**(-4\/3))\/w*w)\/w))\/w*w)\/w)\/w))\/w)\/w*w)**(-1\/68) assuming w is positive.\nAnswer: w**(-6937\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.63, 1\/2 in decreasing order.\nAnswer: 0.63, 1\/2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 59 = 55. What is the remainder when w is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 + -1. Suppose -2*r + 274 = 4*i, -2*i + 128 = -0*r - 2*r. Let t = 265\/4 - i. Which is the closest to h? (a) t (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1151, 1891, 2631?\n\"Answer: 740*r + 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = g + 8. Let t(o) be the first derivative of 2*o**3\/3 + 5*o**2\/2 - 7*o - 46. Calculate t(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**4\/2 - 3331*r**3\/2 - 45362*r**2 + 97382*r = 0.\nAnswer: -29, 0, 2, 3358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -217, -225, -233, -241?\n\"Answer: -8*p - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 + 35. Solve 0 = -8*g - 29 - r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22978516637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2678 - 2726 = -230*r - 12166 - 3752 for r.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 568 divided by 177902\nAnswer: 284\/88951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 8*v**2 - 10*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*j = 5*j + 1, -2*j - 13 = 3*m. Let x be (1 - (-27)\/(-15))\/2. Sort 4\/7, m, x in increasing order.\nAnswer: m, x, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 = -32*x + 27*x + 4*s, -4*s + 260 = 4*x. Let t = -5 - -3. Let f = x - t. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d - 3. Let w(o) = 2*o - 1. Let a(l) = -6*c(l) + 17*w(l). Differentiate a(u) wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 10208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 458*k + 5 + 0*k**3 + 3*k**3 + 456*k in the form z + y*k + w*k**2 + s*k**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 610*p**3 - 3*p**2 + 9*p - 3. Let a be b(1). Is a < 613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 v when two letters picked without replacement from pcvpwppcccjijci?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4\/2 - 36861*n**3\/2 + 257973*n**2\/2 + 184345*n\/2 - 1382025 = 0.\nAnswer: -3, 5, 36854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mv when two letters picked without replacement from {l: 5, v: 3, m: 2, i: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 3*o**2 - 2*o - 5. Let f be v(4). Suppose f*j - 2*j + h = 3, 16 = 3*j - 4*h. What is the second derivative of 3*g**3 - 5*g**3 - j*g + g wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38536064 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5725543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 196.63 + 0.37. Let u = p + -197.0469. Round u to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 c when three letters picked without replacement from {c: 3, h: 1, e: 2, o: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 15330?\nAnswer: 15334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 2. Let a be m(2). Suppose a = o + 3*o. Let j be (24 + -1 - -4)*o. Solve 0*u = -5*p + u + j, -4*p = -u - 22 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7518 and 156926?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -359*h**2\/2 + 910*h - 1068. What is the derivative of p(i) wrt i?\nAnswer: -359","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 11*h - 15*h**3 - 2*h + 10*h**3. Let f(l) be the third derivative of l**6\/120 - l**4\/24 + 58*l**2 + 3. Calculate -18*f(d) - 2*n(d).\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1012)\/(-7084))\/((-4)\/1554))\/((-3)\/(-4)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/2*1040\/(-12). Let u = r + -93. Let b = 21 - 8. Calculate the remainder when u is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57 - -46) + (25 - 2) - (-1 + -13).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 963796363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 2*l - 3. Let m be v(7). List the prime factors of (m\/5)\/((-2)\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 370 and 5?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0 - 1) + (3 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 - -48. Let l be 2\/2 + p + -4. Sort 2, -4, l, 3 in decreasing order.\nAnswer: 3, 2, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -2, 15, -4, -5 in decreasing order.\nAnswer: 29, 15, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -1 + 3*b + 1 - 14*b. Let m(n) = 38 - 49 + 11 + 10*n**2. Determine v(m(j)).\nAnswer: -110*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - y - 4 = 0, -10 = -10*y + 5*y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3c8ead (base 15) to base 8\nAnswer: 13077142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 252 in 0.6, 6.56, -2?\nAnswer: 6.56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 5:02 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -9*h**3 - h**2 + 8*h + 14. Let d be g(-2). Let u = d - -622. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {h: 5, k: 4, w: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*r + 11 = 583. What is the remainder when 55 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -382 + 255. Let s = u + 128. Calculate the remainder when 1 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -142\/295 - -4992\/9145. Put -0.05, k, -20 in decreasing order.\nAnswer: k, -0.05, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 12 = 6*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + 2*h**4 + 3*h**2 + 3*h**2 - 3*h**2 - 2*h**4 - h**4 - 37*h**3 + 37*h**3 + (h - 2*h**2 - h)*(h**2 + h**2 - 4*h**2) + 0*h**4 + h**4 + h**4.\nAnswer: 5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 992332?\nAnswer: 2, 11, 19, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*y - 11150 = 20200 for y.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5, -1, 0.4 in descending order.\nAnswer: 0.4, 0.2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + 121. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*o + 78*o - 336 = 65*o for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 44. Let c(n) = 4*n - 131. Let d(f) = 3*c(f) + 8*w(f). Differentiate d(r) wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 588*h**2 + 112*h + 112. Let x(i) = 26*i**2 + 5*i + 5. Let l(n) = 5*m(n) - 112*x(n). Let v(w) = 2*w - 15. Calculate l(v(q)).\nAnswer: 112*q**2 - 1680*q + 6300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133414442 (base 5) to base 13.\nAnswer: 1b00c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 130, 112, 76, 16, -74, -200?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24 and -0.6.\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, -10, 1 in descending order.\nAnswer: 11, 4, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 14 - 15 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0.2. Let y = 7 - 7.0064. Let i = o + y. Round i to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -69.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 + 45*c**2\/4 + 12213*c + 36531.\nAnswer: -(c - 246)*(c + 3)*(c + 198)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10011110 + 2200201?\nAnswer: -110202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 76959.96t?\nAnswer: 76959960000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (3 + -1)) + (-45 + 8 - -33)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 w when three letters picked without replacement from {c: 9, w: 2, v: 6, p: 2}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -75?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -40. Solve 0 = 2*b - 2*n - 3*n + 12, -3*b = -n - i for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 42. Let d = o - 21. Suppose d*w - 3*w = 144. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 = 5*x + 4*c - 4, 2*c = x + 48. Let j = x + 97. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(3) - (sqrt(3) + -3*sqrt(3)*1)**2).\nAnswer: -36 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 6, i: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1*8*(-960)\/5760*1\/14\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14257 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 261*d**3 + 2031*d**3 + 4*d.\nAnswer: 2292*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 237, 116, -3, -120, -235, -348, -459?\n\"Answer: z**2 - 124*z + 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 - -28. Let h = o + 41. Suppose -8*n + h*n = -4. Solve -b - n = -0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 2*b**3 - 8*b**3 + 9.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 6:21 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/90 and 31\/591885.\nAnswer: 1183770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i - 26. Suppose -5*m + 4*d - 5 = -23, -4*d = -12. Let r be n(m). Factor -6 - r*c**2 + 2 + 1 - 13*c + 0*c**2.\nAnswer: -(c + 3)*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -110346.057 to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 n when three letters picked without replacement from {n: 5, i: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5\/2 + 4611*x**4 - 101699*x**3\/2 - 627996*x**2 - 1403416*x = 0. Calculate x.\nAnswer: -9233, -4, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 3*h - 10, h + 497 = 5*p + 491 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkm when three letters picked without replacement from {k: 7, m: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2828 by -14.\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8362 - -20878. Calculate the highest common factor of x and 252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12049 - 1176. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/153 and 86\/45?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 * -0.004\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p + 195*w = 192*w + 24, 2*p - 2*w - 6 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxy when three letters picked without replacement from {x: 11, a: 1, y: 3}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0088266674 rounded to four dps?\nAnswer: -0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -8454.08118 to the nearest 100.\nAnswer: -8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((y + 0*y - 3*y)*(-4 - 3 + 6) - 2*y + y + 2*y - 2*y + 2*y - y)*(2251*y**2 - 2251*y**2 + 36*y**3).\nAnswer: 72*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4175 and -224091992.\nAnswer: -224091992.4175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (64\/(-11176))\/(0 - 2). Let l = p + 80990\/12573. Calculate the common denominator of ((-4)\/(-2) - 19)\/3 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -932*p + 927*p + 9*p**2 + 2*p**2 + (-2*p**2 + 0*p**2 - 2*p**2)*(1 + 1 - 5).\nAnswer: 23*p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 8, -0.1, -5457, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 6. Suppose 2*a - 30 = -5*x, 2*x + 2*a + 2 = 5*x. Let k be h(x). Let i be (-1)\/2 - (-103)\/k. What is the highest common divisor of i and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 9*r**2 - 21*r + 113. Determine x(13).\nAnswer: -836","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 426 - 422. Suppose -2*p - m*g + 1352 = 0, 3*g = 5*p - 0*p - 3393. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 8*w**2 + 1 - 4*w**3 - 15*w + 9 + 3*w**3 - 1. Let v(f) = f**3 - 2*f**2 + f + 1. Let h(r) = 2*p(r) - 2*v(r). What is j in h(j) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(-95 + 97)\/(1*2). Solve -4*g + 13 = w, 2*w - 64*g + 59*g + 26 = l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 966 and 2.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1395538867.9999873 - -1395538984. Let p = x - 116. Round p to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000381981 to six decimal places.\nAnswer: -0.000382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -2. Let r(v) = -4*v. Let q(w) = 6*w. Let g(i) = t*q(i) + 8*r(i). Let z(b) = b**2. Give z(g(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 12:22 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3753556 by 6.\nAnswer: -1876778\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 1. Let l(o) = 114*o + 18. Calculate 18*i(h) + l(h).\nAnswer: 96*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 0*x**2 - x**2 - 6*x**2.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -d + 1 + 3, 4*s = 2*d. Let n(p) = -p. Let x be n(d). Solve -5*q + x = -7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u. Let m(k) be the second derivative of -13*k + 0*k**2 + 0 - 5\/2*k**3. Give m(s(p)).\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/12 and 161\/1921860?\nAnswer: 1921860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) 68 (c) -2\/57 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 1.6. Let l = -1.3 - -2.2. Let x = l + f. Which is greater: -0.1 or x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 17*g**2 - 3*g - 50. Let v be m(-17). Let k(w) = w**2 + 10*w + 22. Let s be k(-9). Calculate the highest common divisor of v and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -2*w**6\/3 + 103*w**4\/12 + 70*w. What is the third derivative of u(a) wrt a?\nAnswer: -480*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 2:19 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230121 + 0?\nAnswer: -230121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54437 + 17981 = -1302*x for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a milligram in micrograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1524 divide 1668327372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide -2*(6 + -1 + (33 - 36)) + 1397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 2*n + n**3 + 0 + 3\/2*n**2 + 1\/4*n**4. Factor s(k).\nAnswer: 3*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from {o: 2, y: 2, d: 1, t: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/(-44)*(-4 + 0)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 0. Let k(d) = -d**3 + 3*d**2 + 5*d + 2. Let g be k(n). Determine f so that -3*f**2 - 3 + g*f - 8*f + 8*f = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.6, -3, -8 in decreasing order.\nAnswer: 0.6, 0.1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/15)\/((1102\/57)\/(4*55\/(-264))).\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 196967146 rounded to the nearest 1000000?\nAnswer: 197000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 21. Which is the smallest value? (a) -2\/9 (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3413 (base 7) to base 10\nAnswer: -1235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 3*b**2 + 2*b + 2. Let s be p(3). Suppose s*o = 11*o - 15. Find the third derivative of 45*z**3 - 45*z**3 + 6*z**2 + z**o wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 2*k + k)*(268 + 392 - 258)*(k**2 - 3*k**2 + 3*k**2).\nAnswer: 804*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6317873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 475861\/3971209 - 4\/19001. Calculate the common denominator of -8\/171 and v.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + 1\/((-6)\/168*4). Let u(y) = y - 1. Calculate u(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4793009 is divided by 1763?\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 69772.56 tonnes in grams?\nAnswer: 69772560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17731609 = -171*r + 17721007 for r.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3442 and 236?\nAnswer: -812312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 136 and 2162513.\nAnswer: 294101768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -13*o**3\/2 - 489*o. Let y(n) = 23*n**2. Calculate r(y(v)).\nAnswer: -897*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 517678.77 days in weeks?\nAnswer: 73954.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*x - 19 = 3*o + 53*x + 109, 28*x = -2*o + 448 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -446.\nAnswer: 8.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -603*a**4 - 15 + 601*a**4 + 2*a**3 - 2*a**3 - a**2 - 2*a to o + i*a**2 + z*a + w*a**4 + k*a**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 256 - 171. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.06 (b) 0.0156 (c) -0.1 (d) 2\/5 (e) 6 (f) 3 (g) 100\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 858975.9 nanoseconds in seconds?\nAnswer: 0.0008589759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 311 - -1?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 187, 333, 479, 625, 771?\n\"Answer: 146*l + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/19 (b) 12 (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*i + 77*i - 16. Calculate the remainder when 3 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -65*((-14)\/6)\/7*9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -442394+22\nAnswer: -442372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 402, 2012, 3622?\n\"Answer: 1610*m - 1208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i. Let o(m) = -14053*m. Give o(y(v)).\nAnswer: 28106*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88083371.\nAnswer: 88083371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -13 and -3047532 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -38 + -181\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 5:37 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfmcd. What is prob of sequence mc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.622947 take away 34.9812?\nAnswer: -44.604147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/114716 and -89\/16870.\nAnswer: 573580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44746*c**4*u + 1452*c**3*u + 230*c*u + 3*c - 25*u - 1064 wrt c.\nAnswer: -536952*c**2*u + 8712*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 9, 0.\nAnswer: -3, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*w - 35*w = -59*w + n + 17 - 17, 4*w = -2*n - 40 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 1530.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -23.4506?\nAnswer: -7.03518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*(2895\/32424)\/((-2)\/(-4))?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*v + 7 = 0, -4*v = -4*f + 3988 - 4012. Let q(m) be the third derivative of -m**6\/120 - m**5\/10 - 5*m**4\/24 - 5*m**3\/6 + m**2. What is q(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**5\/10 - h**3\/6 + 6*h + 4. Let b(g) be the first derivative of j(g). Let a(w) = -w**3. Give a(z) + b(z).\nAnswer: -3*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f - 43330 + 43942 = 0 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2266 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16*(3 - (-33)\/(-12)). Is 15 a factor of f\/12 + 1 - 1162\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4556 is divided by 294.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 7*g - 6*g + 26*g = 10*g + 83, 7*s + 4*g - 29 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-five halves of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 531 and 531.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 121*h - 124*h + 13666, -3*o = 5*h - 22821. Does 80 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -10*w - 12*w + 27*w - 6*w + 0*w. Let a(m) = 0*m + 0*m - 9*m. Determine g(a(k)).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*m - 43*m = 2194. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 9*a - 13*a - 9, -2*r = -2*a. Is r less than -9\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v + 14*v + 0*v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, -2, -98, -2500, -4 in ascending order.\nAnswer: -2500, -98, -55, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74587892*c**3*w**2 + 28*c**3 - 2*c**2 - 297*c + 2*w - 140 wrt w.\nAnswer: 149175784*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(5\/2)*x\/(x*x**(2\/3)\/x))\/(x*x**(-7)*x**9))**21 assuming x is positive.\nAnswer: x**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**2 - 9*a - 66. Determine f(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.43 - 0.03. Let t = 31 + -38.5. Let l = -7 - t. Which is the smallest value? (a) l (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -1 - 177*t + 486*t - 132*t - 142*t. Let q(y) = -176*y + 5. Give -2*q(n) - 11*z(n).\nAnswer: -33*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a meter in centimeters?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 96 + 144 = 0. Let q = 121 - z. Let a = 148 + -134. What is the remainder when q is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118109\/5478 - (-96)\/(-1584)\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + -202000?\nAnswer: -202020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.0952, -0.017, 15\/4, 1, 2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -225063?\nAnswer: -225066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*k + 3, 0 = -3*o + 2*k + 48. Let g(f) = -14 + o + 2*f. Let q(x) be the third derivative of -x**4\/12 - 3*x**2. Give q(g(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1010101110 (base 2) to base 13\nAnswer: -40a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -22*z**3 - 26*z**2 - 65*z - 731. What are the prime factors of b(-11)?\nAnswer: 2, 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899320 is divided by 449596.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/17907680 and -53\/39648.\nAnswer: 53723040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**2 - 65008*v - 264127504 = 0. Calculate v.\nAnswer: -8126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2570098 + 2569628 = -47*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1290)\/(-40) + (-3)\/12. Suppose n*j - 36*j + 3004 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1847*u - 281 = 1867*u - 3749*u + 1224 for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -751, -1500, -2249?\nAnswer: -2998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 379 - 65. Suppose -5*d - 2*p + l - 38 = 0, -2*d - p + 45 = 0. Does 20 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + -4 - (-1 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 11. Let f = -24459149\/63546 + -3\/21182. Let x = -385 - f. Which is the nearest to 0.1? (a) 5 (b) x (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -3. Suppose -f*u - 12 + 28 = 0. Let r = -4 + u. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.9 + 11. Let d = 6.503 - 0.003. Let n = d + -1.5. What is the closest to 1 in n, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -28. Which is the nearest to h? (a) 1\/11 (b) 5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2683824421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.5 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 16*a + 2. Calculate f(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.08 (b) -4 (c) -5 (d) -8 (e) -9.33 (f) 0.3 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111555.\nAnswer: 3, 5, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-248)\/(-32) + -7 + 0. What is the second biggest value in -9, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) -4 (b) -0.5 (c) -2\/19 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 0 - 4. Suppose 0 = h + 3*h + 20. Put 4, h, p in ascending order.\nAnswer: h, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**2 - 5*m**2 + 5 - 2*m**2 + m**2 with respect to m.\nAnswer: -14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, g: 7, z: 4}. Give prob of sequence gz.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 22422.9 minutes?\nAnswer: 1345374000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 14*d**2 - 26*d + 20. Let z(q) = 5*q**2 - 8*q + 7. Calculate 5*o(w) - 16*z(w).\nAnswer: -10*w**2 - 2*w - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1498403, -2996803, -4495199, -5993585, -7491955?\n\"Answer: f**3 - 4*f**2 - 1498395*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 305*x - 11. Let y = 123 - 114. Is h(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-8) - (-10)\/(-12880)*-49. What is the second biggest value in -2.2, o, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(2\/(-4)*-1). Suppose -2*k = 3*t - 224, 3*t - 100 = q*k - 512. Suppose -3*r - 2*f = 3*f - k, f = -2*r + 73. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -2*x + 24, 4*u - 4*x - 8 = -0*u. Let q(n) = -n - 25 + 8 - u. Calculate q(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b468a (base 14) to base 8.\nAnswer: 1521242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**4 + f**4 - 2*f**4)*(-3 + 3 - 2) - 38*f**4 + 25*f**4 - 40*f**4.\nAnswer: -45*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) 1 (c) -5\/2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 9*v - 4*i - 220, -4*i = 5*v - 230. Solve 95 = 31*n - v*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/14? (a) -5\/2 (b) -0.3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 8*y**2 - 74*y + 378. Let n be a(5). What is the highest common divisor of n and 364?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = 13*v - 14. Is v\/(1\/(-2) + (-440)\/(-896)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + b + 13, -b + 4 - 14 = -3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 2430359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 69 = 2*o. Let u = -5 - o. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) 0.3 (b) -1\/6 (c) 21 (d) -26 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2767831.\nAnswer: 11, 251621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 46, 0, -638, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10755, -9158, -6489, -2748?\n\"Answer: 536*q**2 - 11*q - 11280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - l - 2 + 1. Suppose 0 = -2*t + 4, -4*c + t + 5 = -5. Let b = c - 2. What is j(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 4*l - 3. Let y be f(5). Let d = 2 + y. Suppose 2*v + 0*b = -2*b + 12, -d*v + b = -14. 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 the remainder when 144 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*h - 6556, 4*d - 6550 = -0*h + 3*h. Calculate the remainder when d is divided by 182.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, g: 1, n: 2, y: 1, k: 1, l: 5}. What is prob of picking 3 l?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 0 - 2*x + 4*x**2 + 2 - 2*x**2 + 6*x. What is the smallest common multiple of b(-4) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 12*n**2 - 15*n + 6. What are the prime factors of p(-11)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017861 rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1 + 0 + 2*u + 3 - 16*u**2 + 15*u**2 - u**3. Let q be v(-2). Suppose 0 = -2*m - 3*x + 265, -4*x + 158 = -q*m + 402. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2 - 8. Let u = 13 + r. Suppose t = -2*t + 12. Calculate the remainder when u is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -30. Solve -f + y = 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394*a + 654*a + 1606*a.\nAnswer: 1866*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 78 - o - o to y + a*o and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 12*z - 36. Suppose 0 = -6*h + 33 + 3. Let d be m(h). Let r = d - 34. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9536495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*z**5 - z**4 + 276*z**3 + 167364*z**2.\nAnswer: 2280*z**2 - 24*z + 1656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12947\/15856 + 4\/991. Let a = v + -231\/16. What is the common denominator of (262\/48)\/(3\/(-4)) and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**2 - 211*p - 3171. What is b(-17)?\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -68\/9 + 4*i**5 - 166\/3*i**4 - 1666\/9*i**2 - 1838\/9*i**3 - 574\/9*i = 0. What is i?\nAnswer: -2, -1\/2, -1\/3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbibb. Give prob of picking 1 i and 3 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -2. Suppose -d*v = -6 - 6. Suppose 2*n + 2*y - 3*y = 75, -3*n + v*y + 125 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/((sqrt(180)*2 - sqrt(180) - sqrt(5)) + sqrt(5)))\/(-2*sqrt(968)*3 + sqrt(968) - sqrt(968)).\nAnswer: -sqrt(5)\/396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 52*s - 187. Let p be c(48). Solve -p*b = 83 - 48 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3614 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 6*a - 3 + 3 - a + (3 - 1 - 1)*(2*a - 4*a + 3*a) + a + 2 - 2 - 2*a + 0 + 0.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 833 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -130 - 40. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 27) + -76 + 13 + 59.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 4*j + 90. Suppose 4*d = 233 - j. Suppose -d = -4*c - 15. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/(w*w*w\/w**(-1\/20)))\/w))\/(w*(w\/w**8*w)\/w))\/(w**(-1\/5)*w*w*w)**(18\/5) assuming w is positive.\nAnswer: w**(-3\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000104 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 814617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 8*i - 1. Let r be u(-6). Let m = 1 + r. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10*o**2 - 238*o - 45. Let k be v(24). Solve -43*y - 21 = -k*g - 45*y, 0 = g + 2*y - 11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53349331.\nAnswer: 7, 271, 28123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(315)*1 - sqrt(315))\/sqrt(9)*-6)\/(-4*(sqrt(245) - -1*3*sqrt(245))).\nAnswer: 3*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**3 - 30*s**2 - 45*s + 70 = 0.\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*n + 9 - 9.\nAnswer: 27*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1477 - 9378*v + 1477.\nAnswer: -9378*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3993 a factor of 897670323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-297)*-9)\/(1\/(-22))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2791157.\nAnswer: 19, 41, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5902 is divided by 174?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562233?\nAnswer: 3, 7, 41, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {g: 2, r: 13, l: 5}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4829025 by 2.\nAnswer: -4829025\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 15. Let f = -1404 + 1402.844. Let u = f - -1.256. Which is the nearest to u? (a) k (b) 0.5 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56778 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: b\"What is the zth term of 80, 99, 110, 107, 84?\n\"Answer: -z**3 + 2*z**2 + 20*z + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - h - 3 = 0, -x + 5*h + 15 = 3*x. Let p = -7 + x. Let t = p - -9. Solve 5*j = t*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4*a = -28, v - a = -0*v + 3. Is v >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (4 - 2) - (18 + -18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -20*x**2 - 9*x + 2. Let k(c) = -7*c**2 - 3*c. Let y(m) = 17*k(m) - 6*o(m). What is y(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 9*t**2 - t + 2. Let m(j) = -10*j**2 + j - 3. Let u(c) = 3*m(c) + 4*y(c). Let w = 2 + -3. List the prime factors of u(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*y - 195 - 22. Let b(z) = -16*z - 35. Let k(o) = 3*o + 7. Let i(q) = 4*b(q) + 22*k(q). Let r be i(y). Solve 3*v - v - 2 = r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*(sqrt(102)\/sqrt(6)*3 + sqrt(17)*2 + -5))**2.\nAnswer: -97200 + 10800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37.9 + 38. Sort 1\/3, -0.5, v, -4\/5.\nAnswer: -4\/5, -0.5, v, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -7*t - 3, 16*t - 12*t = -l + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 228033?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*a + 10 = -4*y, 2*a - 64 = -3*y. Let p = 2921 - 2896. Calculate the least common multiple of y and p.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20bc (base 13) to base 6\nAnswer: -33021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 18. Suppose -3*q + 4 = h. Let v(w) = 7*w + w**2 - 8*w - 6 - q. Give v(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 27 (c) 0.2 (d) -5 (e) -3\/98 (f) 2.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)\/f*f)**50 assuming f is positive.\nAnswer: f**(-200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 361 or -2305?\nAnswer: 361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*b + 172 = 0, -2*r + 89 + 101 = -5*b. Let p = r + 37. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 9) in base 14?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 1716*k.\nAnswer: 4*k*(k + 429)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**6\/90 + d**5\/15 + 7*d**4\/9 + 16*d**3\/9 + 5*d. Determine a so that z(a) = 0.\nAnswer: -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(84)*3 - sqrt(84) - (sqrt(210)\/(sqrt(10)*-2) - sqrt(21))))\/((3*3*sqrt(70))\/(sqrt(1440) - (-2*sqrt(1440) + sqrt(1440) + sqrt(1440)))).\nAnswer: 22*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, j: 3}. Give prob of picking 2 a and 1 j.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/3 + 24\/4 - 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -31cc - -576?\nAnswer: -2c56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/7)*t*t**(2\/15)*(t**(1\/8)\/t)\/t**(-3))\/((t**(2\/5)\/((t*t\/(t\/t**(1\/5)))\/t))\/((t**(-2)\/t)\/(((t**(4\/7)*t)\/t)\/t))) assuming t is positive.\nAnswer: t**(289\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 11 + 17 + -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 74172546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 6*n + 8. Let c = 16 + -22. Let o be u(c). Let v be (3\/(-4))\/((-2)\/o). Solve 6*z + 9 = v*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 73*q**4\/3 + 17*q**3\/3 + 381*q + 2. What is the second derivative of r(l) wrt l?\nAnswer: 584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7664*s**4*x**2 - 177*s**3*x**2 - 15758*s**2*x**2 + 77*s**2 wrt s.\nAnswer: -183936*s*x**2 - 1062*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 3)*(3*v**4 + v**2 - v**4 - 4*v**4) + 9*v**4 + 9*v**3 - 9*v**3 in the form w*v**4 + j*v + f + m*v**3 + t*v**2 and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*m**3 - 8*m**3 + 51*m**3)*(66 - 2 - 14).\nAnswer: 4400*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1232.884 and -8.\nAnswer: 1224.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 6.043\nAnswer: -6.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * 90.\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/16)\/(346\/5536).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.296 take away -0.45?\nAnswer: -7.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*k + 35*k + 8*k)*((-1 + 3 - 1)*(0 + 0 - k) + k - 2*k - k).\nAnswer: -75*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -4, 1386?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -903 - -3072. Suppose 18*h - j - 17037 = 0. List the prime factors of h.\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.044 - -1.956. Let x = b - 9. Let f be (-18)\/(-14)*1\/(-3). What is the biggest value in -0.1, f, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6)*(-10 + 7\/1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/48443?\nAnswer: 2\/48443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 79981, 159972, 239963?\n\"Answer: 79991*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 575502048 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 24 = 2*r + 2*u, -11321*u - 13 = -2*r - 11326*u for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*x**4*y**3 + 225431*x**4*y - 733318*x**2*y**3 wrt x.\nAnswer: -72*x*y**3 + 5410344*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -229 plus 2.49899023?\nAnswer: -226.50100977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -81*w**5\/40 + 133*w**4\/8 + 5*w**3\/2 + 4*w - 15. What is v in c(v) = 0?\nAnswer: -2\/27, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 171 = 5*b - 127, -4*c + 24 = -4*b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a microsecond in nanoseconds?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14475319 - 7485319. What is g rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 = 29*p - 44 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/27 + (-116)\/6. Find the common denominator of 58\/60 + c\/30 and -5\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1720*c - 2448*c**2 - 10 + 162*c**3 - 58 - 63*c**2 - 124 - 1305*c**2.\nAnswer: 2*(c - 24)*(9*c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 111 = 5*w + 1, w + 3*g - 24 = 0. Let o be 65*(-7)\/w*54\/(-2). Let a = 884 - o. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14057, -14056, -14055, -14054, -14053, -14052?\nAnswer: -14051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23.5 and -1.2312.\nAnswer: 28.9332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1127939 * 10\nAnswer: -11279390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 + 33 = -5*d. Suppose -j + d = 3*n, j = -0*j - n + 21. Calculate the highest common divisor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 78\/27)\/((-89)\/5607). Solve 2*l - 2*x + 4 = 0, 0 = 3*x - s + 10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 33859276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -52*k. Let m(z) = 169*z + 244*z - 310*z. Calculate 7*f(n) + 4*m(n).\nAnswer: 48*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 226, 9\/7, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - 37 - ((1 - 6) + 18)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen halves of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 61 = 6*r. Let y(b) be the first derivative of -2*b**3\/3 + 7*b**2 + 3*b - 10. Calculate the remainder when 12 is divided by y(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -788, -791, -794, -797?\n\"Answer: -3*u - 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4947 is divided by 64?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -2 - (-1 + 0). Suppose l = 6*o - 11*o + 1375. Is 55 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + 3 + sqrt(209)\/sqrt(11) - (1 + (sqrt(19) - (sqrt(171)\/sqrt(9)*-1 - sqrt(19)))**2 + -3).\nAnswer: -166 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/3 + 110*y - 329\/3.\nAnswer: -(y - 329)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3230 is divided by 101.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000991894 to 6 decimal places.\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/3 + 309412*q**3 - 215407374388*q**2\/3 + 287206119584*q - 861614645824\/3.\nAnswer: -(q - 464116)**2*(q - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 655 + -634. Solve 3 = 6*p - b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17941940?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -615\/7 - -2633\/42. Let a = 14039 - 210676\/15. Calculate the common denominator of a and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (((-1 + 1 + 2)*(-3 + 5 - 3) + 2 - 2 - 2)*(1 + 0 + 1)*(87*p - 61*p - 81*p) - 3 - 2*p + 3)*(3*p**3 + 2*p**3 - 3*p**3).\nAnswer: 876*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4a35b - 0?\nAnswer: -4a35b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23.1 + 23.2. Let y be 8\/(-6) - 12\/18. Let u be 19\/6 - (-5 - 31\/(-6)). Which is the nearest to -2? (a) p (b) u (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 423 - -30124330?\nAnswer: 30130303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4566611 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-one halves of a year?\nAnswer: 306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2 - 3502076*s - 1533067038722 = 0.\nAnswer: -875519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77616\/162)\/154*(-90)\/4.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 21*q + 141. Determine k(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 divided by -39.\nAnswer: 101\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 534479.9 weeks?\nAnswer: 323253443520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -7. Suppose 5*w - 17 = -2*l, -2*l + 36 = l - j*w. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82670370?\nAnswer: 2, 3, 5, 1021, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -104240311 (base 6) to base 12\nAnswer: -770097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1602 and 6586.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 divided by -14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11891, 12001, 12121, 12257, 12415, 12601, 12821?\n\"Answer: h**3 - h**2 + 106*h + 11785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74087 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*g + (2*g + g - g)*(4 - 1 - 1) + g + 3*g - 3*g)*(-7 + 8 + 11 - 2*g).\nAnswer: -6*g**2 + 36*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*r**2 + r**2 + 2 + 2 to i + f*r**2 + w*r and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3933 - 1018 = 37*a + 16*a for a.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 21*v**2 - 22*v - 28. Let o be y(22). Let u be 3 + 0 - o\/(-12). Which is the second biggest value? (a) -0.04 (b) u (c) -0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -249*t**5 - 2*t + 55?\nAnswer: -4980*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24736 - 321569\/13. Which is the nearest to 0.5? (a) 4 (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3929 - 0.5929. Let l = 509\/300 - 3\/100. Which is the closest to -3\/2? (a) 1\/3 (b) n (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*y - y. Suppose -w - 2*o = -12 - 6, 3*w = -y*o + 42. Suppose -w*n + 559 + 351 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -8 + 12*r**2 - 6 + 4*r**3 + 14 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-27) - 204\/54. Let b be (g - 0)\/(1 + -2). What is the first derivative of 2*w - 8 - 2 + b - 4 wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 25529124, 51058251, 76587380, 102116511, 127645644?\n\"Answer: q**2 + 25529124*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13632 - -13632.3. Which is the nearest to 1? (a) -0.088 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 18*o**2 + 64*o + 8. Suppose 5*v - 2*m + 55 = 0, -m = -5*v + 2*v - 34. Let h be g(v). Solve h = 4*t - 5*y, 0 = 5*t - 2*y - y - 23 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**2 - 5 + 2*b**2 - 5*b**2 + b**3. Let p be l(0). Let i be -2 - (-2)\/(-2*1). Put i, p, -4 in decreasing order.\nAnswer: i, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003826552 rounded to five dps?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/30 and 155\/51072?\nAnswer: 255360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q**2 + 5*q - 8. Let l(u) = 3*u**2 + 3*u - 4. Let r(h) = -5*l(h) + 3*p(h). Let j(s) = -2*s**2. Determine j(r(i)).\nAnswer: -18*i**4 + 48*i**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188845 is divided by 1000?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 3, -161, -0.4?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -17. Let u(l) = l - 14. Let z be u(18). Calculate the greatest common divisor of z and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovvvoov. What is prob of sequence ooo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*g + 1117, -f - f + 742 = -2*g. Suppose f = 8*d - 5*d. Suppose -h - 28 = -2*o + d, 0 = -5*o - h + 386. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3008788, -3008787, -3008786?\n\"Answer: x - 3008789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*j - 3*b - 83 - 76 = 0, 16*j = 20*j - b + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -443, -423, -391, -341, -267, -163?\n\"Answer: z**3 + 13*z - 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33023775*m**5 + 22051841*m wrt m.\nAnswer: 660475500*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 20*v - 31. Let x be a(-18). Suppose -d + x - 11 = 0. Which is greater: d or -36\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.02402 and 3337791?\nAnswer: 3337791.02402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9030535 times 12?\nAnswer: -108366420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10200 + -1033?\nAnswer: 3101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 3.932, -5 in descending order.\nAnswer: 3.932, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -209, -488, -879, -1382?\nAnswer: -1997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33076 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-80)*0)\/(1\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 + v - 4. Let s be d(-2). Suppose 3*z = -2*c + z + 26, 0 = -2*z - s. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 0*x**2 + 2*x + 5\/12*x**4 + 0 - 2\/5*x**5 + 0*x**3. What is the third derivative of t(y) wrt y?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a = -24. Let i be 7 + 98 + (4 - (-45)\/(-72)*8). What is the greatest common divisor of a and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o**3 + 4*o**3 - 6*o**3)*(163 - 2*o - 163) - 3*o**4 + 2*o**4 + 2*o**4 + o + o**4 - o to the form h*o**3 + j + m*o**2 + p*o + u*o**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 15 = -3*d, 6*d = -3*u + 3*d - 6. Let m be -1*1*4\/2. Let i(h) = -h + 2. Let c be i(1). Put u, c, m in increasing order.\nAnswer: u, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4320.028 years to centuries.\nAnswer: 43.20028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -909*a**3 - 28*a**2 - 36*a - 163. Is p(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*d**2*o*x**2 - 12*d**2*o - 6*d*o*x + 2201*o*x**2 - 13*x wrt d.\nAnswer: 18*d*o*x**2 - 24*d*o - 6*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z - 4*r = -264, -4*z = -2*z - 10*r + 6*r - 58 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 24*q + 9. What is g(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 8*u - 13. Let g be c(-9). What are the prime factors of 654\/g*8\/(-6)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2274ab (base 12) to base 13\nAnswer: -1642bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p + 4 + 2 + 9*p. Let u(a) = 26*a + 11. Let q(c) = -11*h(c) + 6*u(c). Let f(i) be the second derivative of -i**4\/12 - 7*i. Calculate f(q(v)).\nAnswer: -169*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.6, -1\/4, 7, -0.3, 0.2 in increasing order.\nAnswer: -2.6, -0.3, -1\/4, 0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10134?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2187*m**3 - 266490*m**2 - 39516*m - 1464 = 0?\nAnswer: -2\/27, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 8*f - 6*f + 4*c, -3*f = 3*c - 60. Let l be f - 16 - (0 + 2). Factor -2\/11*r**l - 2\/11*r + 0 - 4\/11*r**2.\nAnswer: -2*r*(r + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1544 - -67935\/44. What is the nearest to a in -4\/9, 1\/2, -5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - 22 - (1 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-69)\/(-486)))\/((-32726)\/376349)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*k + 670 = 0, 0 = -80*k + 81*k - 4. Calculate the remainder when a is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 446265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1881.69 * -248.3\nAnswer: -467223.627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 + o - 2. What is the remainder when 10 + (5 - 2)*(-4 + 3) is divided by x(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-20)*v)\/v)**5*(v**(2\/31))**(-7\/11) assuming v is positive.\nAnswer: v**(-34114\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -13, -3, 23, 71, 147?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*6*(-17)\/(-51).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*j**6 + 537*j**3 + 645*j**2 - 5 wrt j.\nAnswer: 480*j**3 + 3222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*o + 147*o**2 - 104*o + 167*o**2.\nAnswer: 314*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2193 - -2194. Which is the second smallest value? (a) -6 (b) u (c) -27.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2 = 4*c, 4*p + 2*c + 61 - 37 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(1\/(2\/(-3)) + (-1049)\/(-1049)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-37998810\nAnswer: 18999405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 2:08 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -0.1, 50.9 in decreasing order.\nAnswer: 50.9, -0.1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**6\/40 - a**5\/15 + 3*a**2\/2 + 2*a. Let q(w) be the first derivative of f(w). Find the third derivative of q(v) wrt v.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**5\/60 - 635*c**4\/24 + 847*c**3 - 88*c**2 + 9*c - 1. Find the first derivative of a(u) wrt u.\nAnswer: -2*u - 635","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**2. Let y(l) = -43870*l**2 + 921*l. Give y(o(g)).\nAnswer: -701920*g**4 - 3684*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1000563 is divided by 1113?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 177 = -a - 5*q, -12 = 3*q. Let j be a\/182 - 1\/(-2). Let c = 2 + -2. Is j < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -358, -410, -488, -604, -770, -998, -1300, -1688?\nAnswer: -2174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Let i(c) = 5*c**3 - 5*c**2 - c - 1667. Let r(f) = f**3 - f**2 - 4. Let x(t) = -i(t) + 4*r(t). Is x(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (224\/84)\/((-2)\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 604*n**3 - 2*n + 2 - 3 + 16*n**5 + 8 - 603*n**3 wrt n?\nAnswer: 320*n**3 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (174\/30 - 6) + (-14)\/105?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 13*v**3 + 2. Let b(x) = 40*x**3 - x**2 + x + 6. Give -3*b(g) + 10*m(g).\nAnswer: 10*g**3 + 3*g**2 - 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -17 + 0*j + 27\/2*j**2. Let i(h) = -h**2. Give m(i(n)).\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3432 and 28776.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(2 - 2 - 1)*(-6*s - 8*s + s)*(-2 + 3 - 3)*(-2 + 0 + 4) + (11 + s - 11)*(-2 - 1 + 5).\nAnswer: 54*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1\/13)*j*j)\/(j\/(j*j**(-3\/7))*j))\/(j**(2\/19)*j*j**(5\/3)) assuming j is positive.\nAnswer: j**(-6626\/5187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5406, -10810, -16214, -21618, -27022, -32426?\n\"Answer: -5404*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 8 = -w - 3*o, -w + 4*o = 4. Calculate the greatest common factor of w and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8283349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -81\/5 < -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -725 or 438?\nAnswer: -725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85 + 86. Is (i - 15\/9)\/(11\/(-528)) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.067 = -2158.497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*n**3 + 13*n**3 + 132*n**3 + 931*n**2 - 931*n**2.\nAnswer: 305*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 55*i - 627. Let b be o(-39). Suppose 5*x = 15, -2*x - 7 = 3*v - 28. Put b, 0, v in decreasing order.\nAnswer: v, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kduduyuududd. Give prob of picking 1 y and 1 d.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**15*k*k*k\/(k\/k**10))\/(k**(-10\/9)\/(((k\/(k\/k**(-1\/5)))\/k)\/k)) assuming k is positive.\nAnswer: k**(-139\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 4*r - 2*r)*((5*r - 5*r - r**2)*(-r**2 + 0*r**2 + 4*r**2) + 2*r**4 + 0*r**4 - r**4).\nAnswer: 2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -8*a**2 - 3. Let z(o) = -654*o - 14 - 660*o + 1314*o - 40*o**2. What is -14*r(n) + 3*z(n)?\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138 + 43 + 28 - r**3.\nAnswer: -r**3 + 209","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jo when two letters picked without replacement from {o: 3, f: 1, l: 3, j: 1, p: 6, s: 3}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 76081133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 - 6*i**2 - 7*i + 6. Let z(x) be the second derivative of -3*x**5\/10 - 17*x**4\/12 - 10*x**3\/3 + 17*x**2\/2 - 9*x. Determine -17*d(c) + 6*z(c).\nAnswer: -2*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*q + 532 - 512. Which is the nearest to 0.1? (a) 1 (b) q (c) 1\/34 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*2\/(-12)*12. Suppose -6*l + 3550 = -16*l. Let r = -357 - l. Put b, 5, r in decreasing order.\nAnswer: b, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1474.1 - -1475.3. Put -4, p, 2, -22, -1\/2 in decreasing order.\nAnswer: 2, p, -1\/2, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-72)\/(-20) - 4)*315. Find the common denominator of (-3081)\/x*-1 + (-4)\/(-14) and 41\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -694 divided by -558412.\nAnswer: 347\/279206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5577477 to 2 decimal places.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1760228650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 - -6.8504\nAnswer: 7.0304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -710.\nAnswer: -1\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**3 - 110*h**2 + 4*h - 3. Let z(m) = 3*m**3 + 109*m**2 - 3*m + 2. Determine -2*i(w) - 3*z(w).\nAnswer: -w**3 - 107*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*u + u**2 - 6 - 1112*u**3 - u + 1110*u**3 - u**2 + 57*u.\nAnswer: -2*u**3 + 134*u - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2946193, 2946194, 2946195, 2946196?\nAnswer: 2946197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*j - 70, 3*f - 7*f + 32 = -2*j. Solve -f*q + 6*q - 10 = -2*m, q + 4 = -m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k - 191. What is m(-10)?\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + -33 + 77 - 38) + 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 186 - 96. What is the greatest common factor of l and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/63 + 3\/(27\/232). Suppose -t + 4*r = -87, 0 = -3*t + y*r - 27*r + 222. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11942, -47766, -107504, -191180, -298818, -430442?\n\"Answer: -4*t**3 - 11933*t**2 + 3*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40036 (base 10) to base 5.\nAnswer: 2240121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2782 and 117058.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 - 2*n**2 + 9*n + 1. What are the prime factors of y(-6)?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7533 and 5127648.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 362404835*t**2 + 1216254129 wrt t?\nAnswer: 724809670*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -193049.23 to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.5730449 to 2 decimal places.\nAnswer: -38.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -150.9217 and 0.4.\nAnswer: -60.36868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4678031, -4678322, -4678807, -4679486?\nAnswer: -4680359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32a82d + -5?\nAnswer: -32a834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, -0.3, 5, 52?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (-4)\/(-2) - 0. Suppose s = 3*l - 4*x - 34, -x - 33 + 2 = -2*l. Let o = 1951 - 1901. Calculate the remainder when o is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**2 + 2*d - 2. Let h = 3 + -1. What are the prime factors of l(h)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 723, 2238, 6347, 14346, 27531, 47198?\n\"Answer: 216*h**3 + h**2 + 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -8) + (-14 - (-27 - -18)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 1. Let t be 2\/(((-3)\/(-2))\/3). What is the first derivative of l**4 - i*l**4 - 2 - l**t wrt l?\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1432 + -1444 + (25 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 160141 or 1784?\nAnswer: 160141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - 52. Let d = r + -30. Let y = 52.00000043 + d. What is y rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311195351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*j**2*p - 237*a**3*j*p**2 + 2*a**2*p**3 - 2055*a*j**2*p**3 - j**2*p wrt j?\nAnswer: -2*a**3*p - 4110*a*p**3 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(810)*3)\/((sqrt(30) + (sqrt(1920) - (sqrt(1920)*-2 + sqrt(1920)) - sqrt(1920) - sqrt(30) - sqrt(30)))\/(sqrt(216)*-2)).\nAnswer: 3888*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyky when four letters picked without replacement from {y: 6, k: 6}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-16)*x**(-29))\/((x*x**8*x)\/x**8) assuming x is positive.\nAnswer: x**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2486.0022 months to centuries.\nAnswer: 2.0716685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3451*c**2 + 3452*c**2 - 10313*c**2 + 3413*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 612 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40825 - 40823. Let f(o) be the first derivative of o**4\/4 - o**3 + o**2 - 3*o + 1. Determine f(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*s, -5*k + 215 = 3*s. Suppose 0 = 9*j - 38 - k. Solve -x = 2*d - j, -6*d + d + 24 = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b, -4*b + 1 = -2*y + 13. Let f be -10 + 8\/(-4) + y. Let l(c) = 3*c + 6. What is l(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q**2 + 4*q - 5*q**2 - 1 - q**2. Let w be j(3). What is the derivative of 2*b**w - 2 + 0*b**2 + b**2 + 1 wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((28 - -18) + -60 - (-19 + 1 + -4)) + 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -148158395410611\nAnswer: 148158395410610.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -341*i**4 - 284*i**4 - 597*i**4 - 758*i**4 + (-3*i**3 + 4*i**3 - 2*i**3)*(-9 + 9 - 3*i) to the form m*i**3 + w*i + x*i**4 + o + b*i**2 and give x.\nAnswer: -1977","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*v**4 + 324*v**3 + 3*v**2 + 1048.\nAnswer: 336*v + 1944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4346961 and -4.\nAnswer: -17387844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -271 - z + 383 - 2*z**3 + 3*z**4 + 2*z**2 - 2*z**4 - 516 as t*z**3 + o*z**4 + p*z**2 + l + s*z and give l.\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*t = 30, -2*s + 3*t + 4 - 2 = 0. Suppose -16 + 4 = -4*f - 4*p, p - 12 = -s*f. Solve -3*c = -f*q - 15, -5*q - 8 = 4*c - 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.3 - 27118341257.\nAnswer: -27118341245.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 + 2*p**2 - 5*p - 3. Let m be j(-3). Let a be m\/9 + 2\/(-6). Let f = -113138 + 113140. Sort a, 5, -5, f in increasing order.\nAnswer: -5, a, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**3 + 5*a**2 + 3*a - 5. Let c(d) = -2*d**3 - 3*d**2 - 2*d + 3. Let w(s) = 10*c(s) + 6*r(s). Find the second derivative of w(l) wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**2 + 11824*j**3 - 11705*j**3 + 4*j**2 + 6*j**2.\nAnswer: 119*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gnqggpa. Give prob of sequence anq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2. Let w(r) = 6*r**2 + 40. Give w(f(n)).\nAnswer: 6*n**4 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - v**2 + 2*v - 1. Let d(i) be the first derivative of i**4\/4 + 3*i**2\/2 - 2*i - 14. Calculate 2*d(k) - 3*s(k).\nAnswer: -k**3 + 3*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1789, 2384, 2981, 3580?\nAnswer: 4181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 17. What is the least common multiple of l and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k + 1. Let y be n(1). Suppose y*c - 57 = 13. Suppose -u + 2*t + 15 = -0*t, -t - 4 = 0. Calculate the highest common divisor of u and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = g - 3*g. Let v be (-9)\/g*2*1. Which is the closest to -1? (a) 0.2 (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvn when three letters picked without replacement from {v: 4, h: 4, n: 3, i: 2, g: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2\/13 - 976*t\/13 + 119072\/13 = 0. Calculate t.\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -34496 and -2.65.\nAnswer: -34498.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119144 and 221990.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2581164706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -2*w**5\/15 + w**4\/6 - 7*w**3\/6 + 7*w**2. Let m(t) be the first derivative of i(t). Is m(-3) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -33 = -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -84, -209, -446, -831, -1400, -2189?\nAnswer: -3234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10600.666 - 10511.6. Let x = j - 89. Let a = -0.034 - x. What is the second smallest value in -0.4, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06921731876 to 5 decimal places.\nAnswer: 0.06922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -287693, -287709, -287725, -287741, -287757, -287773?\nAnswer: -287789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -10, -4, 2\/3, 0.135, 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(343) + 0 + sqrt(343) + sqrt(343))**2*-3.\nAnswer: -9309 + 504*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4746726 and 8811.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -598 and -1.\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 303*q**2 + q - 12454999 wrt q.\nAnswer: 606*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156 - 31*q**2 - 163*q**2 - 15 + q + 2*q**3.\nAnswer: 2*q**3 - 194*q**2 + q + 141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 1407.434?\nAnswer: -9852.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 168*m**2. Let b(u) = u - 1. Calculate o(b(s)).\nAnswer: 168*s**2 - 336*s + 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-2\/7)))**16\/(q*q**(-1\/3)*q)**(-45) assuming q is positive.\nAnswer: q**(557\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5029606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5034263?\nAnswer: 13, 23, 113, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-28)\/10)\/((-124)\/78430)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-3)\/h)*h*h**4*(h\/h**1)**0)**10 assuming h is positive.\nAnswer: h**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 102 - (-11 + 8) - (-9 - 2 - -17)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((4 - -5) + -9)\/(1 - -1). Which is the nearest to j? (a) 6 (b) 3\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 714?\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 4. Let v = u - 0. Let k = 0.3 + -0.2. Put v, -5, k in decreasing order.\nAnswer: k, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8812193 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 854, 1718, 2582, 3446, 4310?\n\"Answer: 864*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1497*b = 1517*b - 900. Solve -b*s = -53 + 233 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -1 (b) -0.017 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129 - c**3 - 63 - 66.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 13\/4 of a second?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14429 and 10481.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 349*x**3 + 1 + 326*x - 1 - 344*x**3 - 324*x - 54*x**2 as a*x + o*x**2 + v + s*x**3 and give o.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a**15*a*a)*a)**30*a*a\/((a*(a\/a**(3\/28))\/a)\/a)*a*a*a\/a**19 assuming a is positive.\nAnswer: a**(-12149\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 15, w: 3}. What is prob of sequence ww?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70280 is divided by 8668?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/2 + 116333*n\/2 + 407190.\nAnswer: -(n - 116340)*(n + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 27*m = n - 183, -3*m - 681 = -4*n. Does 24 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*h = 2*h + 37, -48 = -3*l - 3*h. Let y(v) = l*v - 9*v + v - v + 2*v. Let q(f) = -7*f. What is y(q(d))?\nAnswer: -42*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/153857824 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 142*k + 24. Let x be f(-22). Let y be (-2)\/7 + (x\/(-105))\/10. What is n in -16\/3*n - 10\/3*n**2 + y = 0?\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*h + 17*h - 125. Let k = h + 45. Let l be 8\/(-3)*(-75)\/2. Calculate the highest common divisor of l and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -17825.\nAnswer: 89125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*((2*sqrt(605))\/sqrt(11))\/(sqrt(35)\/(sqrt(7)*-2)) + -5.\nAnswer: -20*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, -94, 4, -24 in decreasing order.\nAnswer: 64, 4, -24, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1266362973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 26515797?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2402 + 0.6402. Suppose 5 = 2*g - 3*g. Sort 2\/13, g, -2, m.\nAnswer: g, -2, 2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -358 + -0.1?\nAnswer: -358.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = h - 30, -26 = -l + 2*h + 3*h. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eae when three letters picked without replacement from {a: 4, e: 2, u: 2, c: 1, x: 5}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 3*l**2 - 5*l - 8. What is a(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -0*k - 2*g, 5*k = 5*g - 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 3609 + 3609 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -19 - (-12 - -22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -3.2, 2, 448 in ascending order.\nAnswer: -3.2, -0.04, 2, 448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 + 0*i**2 + i**2. Let h(s) be the first derivative of -s**3\/3 + 15. Give n(h(d)).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 277423539, 277423540, 277423541, 277423542, 277423543?\nAnswer: 277423544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 9:25 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, n: 1, p: 1}. Give prob of picking 1 p and 1 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 6, -6\/41, 0.006?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/6)\/((p*(p*p**3)\/p)\/p)*p**(-5)\/(p**(-1)*p))\/((p*(p\/(p*p**(-2\/5)))\/p)**34)**(-1) assuming p is positive.\nAnswer: p**(163\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.5 + 8. Let s be -2*1\/(-2) + (-68)\/52. Which is the fourth biggest value? (a) -0.2 (b) x (c) 4 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6196 <= -11881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14138 divided by -21.\nAnswer: -14138\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1147, 2295, 3445, 4597?\n\"Answer: x**2 + 1145*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48080891657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 16 = -i. Suppose -3*m + 11 + 1 = 0. Suppose -m*c = 5*g - 181, -5*c = g - 153 - 68. What is the highest common divisor of i and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 115*v + 1940. Let n be k(15). Put 39, -2, 0, n in increasing order.\nAnswer: n, -2, 0, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3904710637 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 8 = -w, 0*j - 12 = -5*j + w. Suppose -r + 414 = 3*b - 367, 1562 = j*r - 4*b. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 145.\nAnswer: -4\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.3134 - 0.542983.\nAnswer: -6.856383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, x: 3, d: 3, q: 5, y: 4}. Give prob of sequence lly.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 25732 (base 10) to base 6\nAnswer: 315044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + 7\/(-4))*48 - 4. Suppose -4*h - 2 = 34. Let i = 4 - h. What is the highest common divisor of v and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 960101145 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.9 (b) 0.042 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 57?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2110, 4243, 6416, 8647, 10954, 13355, 15868?\n\"Answer: 3*f**3 + 2*f**2 + 2106*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1240262?\nAnswer: 2, 727, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 691398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = d - 4*d. Let l be d\/1*(-14)\/(-8). Let m = -2497\/5000 - 3\/5000. Is l at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2151*d**2 - 98*d. Let y(s) = -5*s. Calculate c(y(l)).\nAnswer: 53775*l**2 + 490*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 16166606.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, o: 2, s: 3, q: 1, j: 1, b: 5}. Give prob of picking 1 q, 1 b, and 1 m.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6\/47 + 95\/376. Let d(s) be the second derivative of 0*s**2 + 0 + 1\/20*s**6 - 5*s + 0*s**5 + 1\/56*s**7 - 1\/8*s**4 - x*s**3. Solve d(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**8\/4200 + b**7\/2100 - b**6\/900 - b**5\/300 - b**3\/3 - 3*b. Let w(r) be the second derivative of u(r). Solve w(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 9:14 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*c + 90*c = 96*c - 4324. Solve -3*n + 24 = 4*p, 20*p = c*p - n - 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -5*i - 2*a, -11*i + 4*a = -7*i - 56. Suppose 0 = -5*g + 383 + 67. What is the greatest common factor of i and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*n, -4*m + 7*n + 2 = 4*n. Which is the nearest to 0.2? (a) -0.27 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*h**6*w**3 - 380*h**3*w**3 + 2*h**2*w**3 + h**2 - 448*h + 18*w**3 + 2 wrt h.\nAnswer: -480*h**3*w**3 - 2280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from {k: 11, b: 4, l: 3}.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-2 + -7 - -15) + -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -f - 99 + 83, 4*f - 1 = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 1 = -2*w + 3*u, w = u. Let k be -1 - w\/((-2)\/(-660)). Suppose -k = -4*r - 81. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*f - 2*f - 3*f)*(3 + 2 - 3) - 2*f - f + 0*f + 4*f - f + 3*f)*(3 - 3 + 2).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**3 + 5*z**2 + 2538 + 7*z**3 - 6*z**2.\nAnswer: -2*z**3 - z**2 + 2538","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105 + -311\/3. Are 1 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178813958 = -4*w - 121186342. Let y be (w\/(-12) - 6) + (-1)\/4. Round y to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -1\/4, 0.3, -110, 1\/5 in ascending order.\nAnswer: -110, -1\/4, 1\/5, 0.3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -56*w - 1. Let k(f) = -f. Let z(v) = -4*k(v) - o(v). Let a be z(2). What is the greatest common divisor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 13*h + 0)*(-1 + 0 + 0 - 3 - 1 + 1 + (-2 + 2 - 2)*(0 + 0 + 1) + 5 - 4 - 2).\nAnswer: -91*h + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 16 = 54 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**5\/20 - 13*y**2. Let g(d) = -3*d - 4. Let c(o) = -6 + 4*o + 6 + 5. Let l(u) = 4*c(u) + 5*g(u). Determine l(z(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*g + 0 + 0)*(5*g**3 + 0*g**3 - 3*g**3)*(-6 - 3 - 5) + g**2 - 20*g**2 + g**2 + g**4 in the form z + q*g + f*g**2 + w*g**3 + b*g**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -80041 + 83\nAnswer: -79958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3165 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 960 and 12001712?\nAnswer: 720102720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -146218 or 388?\nAnswer: -146218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -1253.82542?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + c - 1723 = -u, 3*c - 428 = -u. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - (-14)\/((-14308)\/(-35735)))\/((-10)\/(-8)).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173 divided by 42980?\nAnswer: -173\/42980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 10*p**2 + 16*p + 2. Let c be j(8). Suppose c*o + 0 = 3*r - 7, 0 = -3*r - 5*o - 28. Which is smaller: -2.2 or r?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 11*b + c + 6, -5*b + 10 + 5 = 2*c - 0*c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -85, 7.\nAnswer: -85, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*((sqrt(432)\/sqrt(9))**2 - (sqrt(192)*2)**2).\nAnswer: 12960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-6)*54\/(-36). Let g be (-10)\/x - 10\/(-20). Solve -4*d + g*d - 3 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35679 is divided by 17838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (73 + -29) - -46\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.025329224 to four dps.\nAnswer: 0.0253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*t**3 - 13*t**3 + 88 + 86 - 178.\nAnswer: 46*t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3794 + -3798. Which is the nearest to 2? (a) -19 (b) v (c) -0.1 (d) -9\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 5:58 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78708 is divided by 51.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**4 - 1 + 57*x + 0*x**2 - 5*x**3 - 4*x**2 + 5*x**4 + 55*x - 109*x to i + b*x + u*x**2 + j*x**3 + p*x**4 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 892484984?\nAnswer: 2, 163, 383, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1.2, -3\/7, -1\/5, -87, -0.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c**2 - 4*c. Let y be j(4). Suppose 25*u - 1159 - 1241 = 0. Is y not equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c + 45*c + 18*c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 1. Let l(z) = -32*z**2 - 2*z - 34. Let s(u) = -6*l(u) + 204*t(u). Find the second derivative of s(h) wrt h.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.04, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 10*a**2 - 10*a + 7. Is v(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -128*d + 135*d + 2800. Let a = d - -404. Solve -4*u = 8, 4*y + 3*u - u - a = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -126084, -252168, -378252, -504336?\n\"Answer: -126084*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 73, 164, 263, 376, 509, 668, 859?\n\"Answer: x**3 - 2*x**2 + 90*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.5 + 5.5. What is the closest to w in 0.5, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.108 plus 0.6541502593?\nAnswer: -94.4538497407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s = 73*s + 152*s + 8260 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.22 (b) -273 (c) -0.012016\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20472 + -155492. Round b to the nearest 1000.\nAnswer: -135000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 697 = 3*o, -4*o + b = -5*o + 232. What is the remainder when o is divided by 77?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + z + 1. Let q(d) = 5*d**4 - 16*d**3 + 6*d + 6. Let v(u) = 6*n(u) - q(u). Solve v(g) = 0 for g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/418 and 17\/12?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 790 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15942 is divided by 350.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 8*q - 9. Let g(n) = -3*n + 3. Let z(l) = 7*g(l) + 2*j(l). Let p(w) = 6*w - 4. Calculate -3*p(s) - 4*z(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 7*g + 8. Suppose 8*b - 23 + 87 = 0. Is y(b) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 7:38 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -42777.\nAnswer: 19\/42777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2874*f - 71*f - 5 + 2.\nAnswer: 2803*f - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -10.6, 650, -0.72?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8 + 10)*(10 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5129 is divided by 177.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 - (-4 - -3))*1. Is 1635\/35 - 2\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*i + 8 = 3, 5*s + 2*i - 13 = 0. Let w = -79 + 73. Which is smaller: s or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - (sqrt(78) + 6*sqrt(78)*2 + sqrt(78)))\/(-2*sqrt(18)\/sqrt(3)).\nAnswer: 13*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472531 is divided by 39377.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7*o + 3. Let h(u) = -172 + 386*u + 174 - 380*u. Let m = -3 - 3. Let a = -8 - m. Determine a*y(j) + 3*h(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 553202\/283 at least 1954?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25000?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u - 17 + 8 + 11*u - 11. What is the tens digit of v(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7596 divided by -1266.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 4*g + 3. Let b be i(-5). Let k = -7 + b. Let m be (-138)\/(-8) - k\/4. Calculate the greatest common factor of m and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = p + 9, -1418*n + 1417*n + 18 = 5*p. Let q(i) be the first derivative of -3*i**2 - 34 + 3\/10*i**5 - 9\/2*i + 3\/2*i**4 + i**p. Solve q(j) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1\/566 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.3 - -7.6683. What is h rounded to 2 dps?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/182 and -89\/4641?\nAnswer: 9282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - -2*sqrt(156)*5) + sqrt(156) - -6*(2*sqrt(156) + sqrt(156)))\/(sqrt(972) - 3*sqrt(972) - (sqrt(72)*-1)\/sqrt(6)).\nAnswer: -30*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**12*o)\/(o*(o**9\/o)\/o))\/((o\/o**(1\/4)*o)\/o**(-18)) assuming o is positive.\nAnswer: o**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*h**5 + 144*h**5 + 13*h**5 - h)*(-2 + 4 + 0).\nAnswer: 214*h**5 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 60941736 a multiple of 3235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w**3 + w**2 + w + 1. Let r be j(-1). Differentiate 15*b**3 - 33*b**3 + r + b**4 + 18*b**3 with respect to b.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2262876?\nAnswer: 2, 3, 7, 11, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 14 + 226. Let f be (1 - k\/(-22)) + (-22)\/(-121). Sort f, 8, 1 in decreasing order.\nAnswer: 8, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 113*d**2 + 105*d + 829. Determine z(114).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 606 - -133?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1769239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -11*h**3 - 5*h - 15. Let f(o) = -16*o**3 - 7*o - 22. What is 5*f(i) - 7*k(i)?\nAnswer: -3*i**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htd when three letters picked without replacement from {h: 4, d: 2, t: 4, n: 2, s: 4, i: 4}?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + x = -2*f + 10, -3*f = -5*x - 28. Suppose f = -o + 2*o - 2*m, -3*o = m - 4. Suppose 0 = -3*h - o*h + 120. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6. Let g(k) = k - 17. Let j(s) = -3*g(s) + 8*w(s). Suppose 3*p + 3*q = 2*q + 18, p - 2*q + 1 = 0. Suppose 8 + 2 = p*v. Calculate j(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -290024, -580047, -870070, -1160093?\n\"Answer: -290023*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 279954 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/44 and -43\/6632?\nAnswer: 72952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4766073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 148*f - 35131. Calculate c(224).\nAnswer: -1979","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*a - 31*a = 4*w + 20, -4*a + 31 = -5*w. Find the third derivative of -24 + k**2 + 48*k**a + 15 - 13 - 10 wrt k.\nAnswer: 1152*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 508 - 232. List the prime factors of w.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 11*s = 0. Let x(j) = j**2 + 2*j - 28. Let t be x(s). Let i(u) = u + 32. Let r be i(t). Put -9, -4, r in descending order.\nAnswer: r, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, y: 1, m: 5, k: 2}. What is prob of sequence kkmm?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(19) + 1 + -4).\nAnswer: -18 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2692664 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 61597418471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*r = 0, -3*p + 0 = 5*r + 5. What is the smallest common multiple of p and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 6*o**2 + 3*o - 5. Let t be g(-5). Let q be 2\/9 - 2105\/t. Suppose -5*x = -28 - q. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 9*t = 144. Let d be (711\/t)\/((-12)\/(-16)). Suppose -4*v + d = -181. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104782 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w**3 + 6*w**2 + 14*w + 1. Let g = 29741 - 29735. Let x(y) = -9*y**3 - 13*y**2 - 28*y - 2. Determine g*x(d) + 13*s(d).\nAnswer: -2*d**3 + 14*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1586)\/(-65) + ((-1)\/(6\/16))\/((-5)\/3)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30804347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 2:37 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-128)\/160 - (-19)\/5. Let i = 138 - -169. Suppose -5*b - 3*w + i = -w, 3*w - 177 = -q*b. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125218.98 months in years?\nAnswer: 10434.915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -22, 0.04, 0.6, -3\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(273))\/sqrt(7) - sqrt(39))\/(-6*(sqrt(3) + sqrt(27)\/sqrt(9))) + 0 + -1.\nAnswer: -sqrt(13)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/123 and 61\/63.\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 11:47 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 354.8584km?\nAnswer: 354858.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12010 + 1?\nAnswer: -12003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 9*n**2 - 6*n - 4. Let p be (-529 - -550)*((-9)\/(-7) - (-2)\/(-2)). Calculate s(p).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from {o: 4, p: 1, g: 1, f: 1, h: 2, m: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58446, -116295, -174134, -231957, -289758, -347531?\nAnswer: -405270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72804 is divided by 472.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 191362 less than -197.039793?\nAnswer: -191559.039793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10010111000111 (base 2) to base 7\nAnswer: 40124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -227*t**5\/20 + 223*t**3\/3 + 101*t. Find the second derivative of f(y) wrt y.\nAnswer: -1362*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1903, 8106, 18443, 32914, 51519, 74258?\nAnswer: 101131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - -31?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (452\/3 - 0)*567\/378. Suppose -64 + d = 18*t. Solve -c = -3*u - t, 2*c - 5*c + 2*u = 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 522 + -527. What is the closest to 1.1 in -1\/5, 0, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 289 + 103. Let z = -228 + r. Suppose -6*h + z = 4*j - 2*h, h = 5*j - 229. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 10*m**2 - 4*m + 69. Calculate h(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssvvvyyvvymvmsm. Give prob of picking 2 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.11199 * 0.33\nAnswer: 0.0369567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 27*o**2 - 47*o - 61. Suppose 3*y - 147 - 54 = 0. Calculate the remainder when y is divided by i(25).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -16 - (6 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 + h + 1. Let c(a) = 5*a**2 - 3*a - 6. Give c(z) + 2*g(z).\nAnswer: 9*z**2 - z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 151*s**2 + 31*s - 168. Is 18 a factor of n(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 3. Let g = -294 + 2937\/10. Which is bigger: g or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, p: 1, b: 1, x: 7}. What is prob of sequence bxp?\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 5*a - 2*a + (-a - a + 0*a)*(2 + 4 - 4))*(-355 + 159 + 165)*(0 + 1 + 0) to the form w + t*a and give t.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -50 + 3*g**2 + 4*g - 8*g + 54. Let k be z(1). Suppose -h - 6 = -10, 4*r + k*h = 388. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6314930224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2544 divided by 4?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**5\/5 + 2*h**4\/3 - h**3 - 7*h**2\/2 - 64*h. Let s(v) = 4*v - 30. Let z be s(9). Is f(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51248011?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21a60573 - -4?\nAnswer: -21a6056a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmg when four letters picked without replacement from ggmmmrmgmmgmg.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/116 or 0?\nAnswer: -5\/116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/162 and -40\/9?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -13*f. Let u(z) be the second derivative of -5\/12*z**4 + 9*z + 0 + 0*z**2 + 0*z**3. Calculate j(u(l)).\nAnswer: 65*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/6 + 4441*h**4\/3 - 97781*h**3\/6 + 186719*h**2\/3 - 302342*h\/3 + 177860\/3 = 0. What is h?\nAnswer: -8893, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 335, 755, 1189, 1643, 2123, 2635, 3185?\n\"Answer: j**3 + j**2 + 410*j - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r - 9*r - 10 = -s + 22*r, 0 = s + 45*r + 634 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 20*c**2 - 53*c - 15. Determine j(-17).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 332836080 a multiple of 8616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 508646?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(140)*-3)\/((sqrt(35)*3)\/sqrt(7)).\nAnswer: -2*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7935\/(-253))\/23*55\/(-20). Let c be 1\/4 - (-30)\/8. What is x in 3\/2 - 3\/4*x**c + 3\/4*x**3 + 9\/4*x**2 - j*x = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/2 + 9*z**4\/2 + 29*z**3\/2 + 43*z**2\/2 + 15*z + 4.\nAnswer: (z + 1)**3*(z + 2)*(z + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -103.09356376.\nAnswer: -102.09356376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -113 and 50933.98.\nAnswer: 50820.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10511939 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-108)\/42) + (-72)\/(-21)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 1c711?\nAnswer: 1c714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 0 + (-2 - 1). Let o be 10\/15 - v\/3. Solve -4*i - o = 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.886984 less than -2.095449?\nAnswer: 82.791535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**2*u*y**3 + 2*b**2*u*y**2 + 657*b**2*y**6 + 4*u*y + 13*u wrt y?\nAnswer: 6*b**2*u + 78840*b**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 + 60. What is the closest to v in -0.1, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -1)*64\/4. Let g = o + -12. Suppose 0 = -3*t - 8 - g. Which is the third smallest value? (a) 0.3 (b) t (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 24*u**2 - 25*u + 35. Let i be p(-25). What is the smallest value in 0, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4)*0*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 12*i - 75 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 952.5486 decades in centuries?\nAnswer: 95.25486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -33*w**3 - 17*w**2 + 19*w + 5. What is the units digit of v(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 14*h**2 - 19*h - 167. Give l(19).\nAnswer: 1277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79449, -79443, -79437?\nAnswer: -79431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -97 - (-245 + 63) - -32.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -18, -52, 0, 4, -5, 2595 in increasing order.\nAnswer: -52, -18, -5, -3, 0, 4, 2595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-4) - (8 + -3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**4 - 2*l**2 - 3*l**4 - 3*l**4)*(18*l - 3*l + 36*l).\nAnswer: -51*l**5 - 102*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*1 - (1 - 4). Let x = 3 + 1. Suppose k + 8 = -k - x*w, -8 = k + 3*w. Solve -k*j - 4*l + 8 = 0, 5*l = y*j + 2*j - 17 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -12. Let j(l) = -l + 28. Calculate the lowest common multiple of z and j(14).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -1*(6 + 12\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5568 + 5564. What is the nearest to l in -1\/3, -12, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94 and 168777.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -184832973*o**2 + 907*o - 34336.\nAnswer: -369665946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3130 (base 9) to base 10\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-334*k + 6273 - 6270 - 63*k)*(3*k - k - 4*k).\nAnswer: 794*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -u - 18, -3*k - u - u = 11. Let f = k + 0. Sort 0, f, 4 in decreasing order.\nAnswer: 4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 331 = -129. Let o = 46 + u. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**2 - 3*u - 4. Let i(f) = 2*f + 4. Let l be i(4). Suppose 5*r - l = r. Does 10 divide s(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 2.7584.\nAnswer: 1.3792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c - 1. Let o = 15 + -14. What is w(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (183\/(-3))\/(2 - 3) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -313*c**2 - 10580 + 10580 + (3*c - 3*c + 2*c)*(c - 2*c + 0*c) - 5*c**2 + 2*c**2 + 2*c**2 in the form w*c**2 + x + h*c and give w.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39.12 - -43.12. Which is the smallest value? (a) -2\/17 (b) 1.9 (c) w (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544384 divided by 128?\nAnswer: 4253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11132555 is divided by 622.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2. Suppose 0 = 5*x + 34 - 139. Let j = x - 19. Solve 3*z + s = -j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*sqrt(117) + 1 + 6*sqrt(117)*-1*1)**2*-6.\nAnswer: -17574 + 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a tonne in kilograms?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 17.8?\nAnswer: 1.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t. Let n(y) = 3708*y**2. Determine n(a(f)).\nAnswer: 14832*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -14, -25, -38, -53, -70?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2934 divided by 1467?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 2*v - 2, -11 = -25274*l + 25270*l + 3*v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3032895481 and -0.5.\nAnswer: -3032895481.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1421, -1, -179?\nAnswer: 1421","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c*i**2 + c*i + 16*c + 74484*i**2 + 2856*i + 2 wrt i.\nAnswer: -6*c + 148968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4607 - -4374.3. Round g to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + -9. Let w = -30 + c. Let v = w - -46. Solve -v*s - 6 + 21 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66638 and 466?\nAnswer: 66638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 195ccd (base 15) to base 2.\nAnswer: 100101101011101010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7905213 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -26080.\nAnswer: -7824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 8 + 1 + -6 - (-14 + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.26 times 2?\nAnswer: -84.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -68, -72, -78?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 6 = -6. Let a be (2 + (-117)\/i)*2. Suppose -5*n = -0*n - 10, 4*n = 5*q - a. Calculate the remainder when 52 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 112077, 897667, 3029983, 7182387, 14028241?\n\"Answer: 112227*y**3 + y**2 - 2*y - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -701 + 1023. What is the remainder when w is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/3)\/(4\/(-114)). Let m = 580.92 - 580.82. Which is smaller: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 7440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -16*z - 2. Let g(y) = -2*y + 20. Let i(w) = -w + 1. Let s(l) = 2*g(l) - 36*i(l). Let d(x) = -5*c(x) - 3*s(x). Is d(-2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.38 - -2. Let m = -0.3777 - x. Round m to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9552745 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + z - 3 = -0, 9 = -2*x + 3*z. Let n(d) be the first derivative of 1\/10*d**2 + 3 - 1\/25*d**5 + 3\/20*d**4 - 1\/5*d**3 + x*d. Find g, given that n(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -27, 1.\nAnswer: -27, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 8445862.07 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35b5655 - 4?\nAnswer: -35b5659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r + r - 3*r**2 - 101 + 43 + 4*r**2. What are the prime factors of i(10)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 33589.\nAnswer: 33588.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + (-1 + sqrt(1728) + 4)**2 + (4*sqrt(384))\/(sqrt(72) - (sqrt(72) + sqrt(72)*1)).\nAnswer: 416*sqrt(3)\/3 + 1740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111286425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 984 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n + 6 - 5*n + 9*n - 3*n.\nAnswer: 10*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 8:57 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 7. Let x be r(-5). Let o = -4 - x. Let n be (((-8)\/6)\/(-2))\/(11\/3). Which is the nearest to 1\/2? (a) o (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 897?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1613 - -1613. Let y = -58.6 - -34. Let u = -25 - y. What is the smallest value in u, q, -6, 2\/17?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4 = 8. Let i(l) = -3*l**3 + 2*l - 2 - 4*l**2 - 1 + 0 + 4*l**x. What is i(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91 and 2938?\nAnswer: 20566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.658989 times 2?\nAnswer: -21.317978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 12. Let b be x(-9). Suppose -4*c + 3*c = 0, 2*u - 6 = 5*c. What is t in 4*t - b*t - 1 - u*t - t**2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.6, 0.04438 in descending order.\nAnswer: 0.5, 0.04438, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -13598ae4?\nAnswer: 13598ae4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3\/4, -24, -2, -1\/4.\nAnswer: -24, -2, -1\/4, 0.3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 32 - 293*p**2.\nAnswer: -293*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one ninth of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2441*a**2 - 3*a - 10. Let b be w(5). Round b to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 7*v**2 - 6*v - 7. Suppose 2*g = 4*k - 4, -67 = -5*g - k - 22. Is u(g) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77690 times -0.247\nAnswer: -19189.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*g - 310, 0 = g + 6*h - h - 58. What is the nearest to 0 in 0.5, g, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 763 - 898 = 15*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 18\/9*97832\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86298 and 570.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35660.02712 + 35660. Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-4)*1 - -13. Suppose 0 = 3*c - c + 8, -2*c = 4*g - w. Solve 5*k - 23 = g*d - 63, -k = 3*d - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**2 - 44*u + 25. Let n be q(-15). Let f be (-10136)\/(-26) - (-10)\/650*n. Calculate the greatest common divisor of f and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 5:20 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -0.3, 5, 9.7, 5.7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 6\/7 (c) -19 (d) -5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.6 and 27.\nAnswer: -178.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1894961167?\nAnswer: 11, 172269197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (0 - 25)) + -41 + 96.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/8*(-752)\/(-658).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11311\/10 + 1130. Let f = t + 37\/70. Suppose -26 + 6 = -4*j. Put -2\/3, f, j in decreasing order.\nAnswer: j, f, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278*k - 22012346032 - 16528502713 = -10975758745. What is k rounded to the nearest 100000?\nAnswer: 99200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/19)\/(-3))\/5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2650 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1247*w**4 - 7171*w**3 + 1884*w**2 + 8082*w - 1?\nAnswer: -29928*w - 43026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -3 + (2 - 12) - 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 8*p**2 + 3*p**3 - 3*p**3 - 12*p**4.\nAnswer: -4*p**2*(p - 1)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3245418751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 8:30 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 9*b**2 - 10*b - 5. Let y(w) = -w**3 + 6*w**2 + 7*w + 8. Let h be y(7). Is t(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 3*x + 6, -x - 2 = f - 2*x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 14, -8 in ascending order.\nAnswer: -8, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1918221 - 4?\nAnswer: -1918225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9*x**2 + 3*x - 2. Let b be c(2). Suppose -3*k + 5*k - b = 0. Suppose -4*i + k = i, -2*h - 5*i = -34. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, w: 2, y: 2, g: 2}. Give prob of sequence wy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/14, 4, -6, -3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*h**2 - 76*h**2 + 144*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19382 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006456 to 5 decimal places.\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23935 + -23934. What is the nearest to i in -1067, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/15*-3*5*2. Calculate the remainder when 39 is divided by (-14)\/b*(-6)\/1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*c = 1352 + 1411 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2775 + 2772.3. Let i = -7.8 + 3.5. Let d = p + i. Sort 2, d, 2\/3 in decreasing order.\nAnswer: 2, 2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 1. Let m be h(1). Suppose m = 5*d - 13. Suppose -3*p + 16 = -n, -d*p + 3*n = -0*n - 18. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.311.\nAnswer: 0.0933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*z**3 - 104*z + 104*z)*(-2*z + 3*z + 2 - 2*z) as y*z + t*z**3 + q + o*z**2 + b*z**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**3\/3 - 21*p**2\/2 + 49*p - 157. Let f be w(19). Solve 0 = f*r + 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - c**2 + (c - 2*c + 2*c)*(-1 - 3 - 1)*(-5 + 17 + 6)*(c + 1 - 1 + (2*c + 1 - 1)*(2 + 1 - 2) - c - 5 + 5) to the form x*c**2 + y + r*c and give x.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -52*u + 385. What is z(7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/11593 or 0?\nAnswer: -20\/11593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 136. What is the remainder when p is divided by 47?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*q**3 - 2*q**2 + 448*q wrt q?\nAnswer: -72*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*n = 116587 + 91317. What is the greatest common divisor of 89 and n?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.7449906 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 12*n**2 + n - 8. Let m be d(12). Solve 4*x = -0*x - 5*c - 14, 4 = 4*x - m*c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 10*w - 10. Let i be c(-7). Let o = i + -7. What is the second derivative of v - v + 3*v**o + 0*v - v wrt v?\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 208 - 212. Let d(s) = 3*s + 20. Let b(w) = -10*w - 1. What is the lowest common multiple of d(m) and b(-1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -193.087 + 0.087. Let y = t - -188. Is y <= 4\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57567374?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 0 - 1\/12*o**4 - 3\/2*o**3 + 12*o + 0*o**2. Give b(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -331\/9 - -37. Let i(l) = 5*l**2 - 8*l + 12. Let v be i(0). Which is the second biggest value? (a) -0.5 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/11408 or -1?\nAnswer: -1\/11408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/2 and 92 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 184640063 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2169 is divided by 187?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1 + m + 2*m**2 + m + 0. Let s be v(1). Let p = 0.3 + -0.1. Which is the biggest value? (a) s (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3352 - 1990. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2602*k + 2614*k - 72 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/14 - (-116)\/14. Let q be (0 + -18)*(-4)\/i. Suppose 10*s - q*s = 10. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -158966, -159113, -159260, -159407?\n\"Answer: -147*g - 158819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - w**2 + 2*w. Let n(y) = 5*y**3 - 2*y**2 + 4*y + 62. Let l(i) = 4*k(i) - 2*n(i). What is the derivative of l(o) wrt o?\nAnswer: -42*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2476307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3 = 4. Let z(w) = -3*w + 4. Let n(b) be the third derivative of -b**4\/24 + b**3\/6 + 50*b**2. Suppose 72*p = 71*p - 2. Calculate p*n(k) + r*z(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/206448 and 37\/40227.\nAnswer: 10941744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1344 and 1176?\nAnswer: 9408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 145 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 402445 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/2 - 475*u\/2 - 473.\nAnswer: -(u + 2)*(u + 473)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - 70 - (6 - 2) - (-34 + 29).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 17. Suppose -4*d - 4*p + 56 = 0, d + 5*p - 23 = -1. Determine h(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*c - 15, 3*l = 5*c - 6 - 0. Suppose -2*u + 4*u + 2*m + 14 = 0, -2*m - 11 = u. Calculate the remainder when (-25)\/u - 2\/(-3) is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 16 = w. Suppose g = 20 - w. What is the remainder when 124 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -1899 in increasing order.\nAnswer: -1899, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 3:40 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 23*u - 29*u. Let j be -1 + u\/(7\/(-3)). What is the nearest to 0 in j, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-6))\/(4\/(-8)). Let z = 3.84 + 0.16. What is the closest to -1 in -2\/5, z, c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2400 and 80267550?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.069 - 3.069. What is the fourth smallest value in -4, -1, -0.9, b, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -9\/4*u**2 + 1\/2*u**3 + 9 + 0*u. Find m, given that a(m) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/567100 and 69\/26500.\nAnswer: 2835500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u - 14866. Let n(i) = 7*i**2. Give j(n(x)).\nAnswer: -28*x**2 - 14866","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728680 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5204, 5219, 5254, 5315, 5408, 5539, 5714?\nAnswer: 5939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 3805*z - 1379994.\nAnswer: -(z - 3399)*(z - 406)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 5*l - 3. Let u be m(7). Suppose 0 = i + 3*i - 3*c - 7, -c = 2*i - u. Solve -5*k + i + 1 = -5*o, 0 = 4*k - 5*o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubq when three letters picked without replacement from qxuxquubquau.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(f - 3*f + f)*(10*f**2 - 2*f**2 - 42*f**3 + 47*f**3).\nAnswer: 10*f**4 + 16*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20417780 + -2?\nAnswer: -20417782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*g + 15, 4 = 3*a - 5*g - 25. Let f(v) = -3 + 4 + a*v - 20*v + 5. Is f(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 31775*q**2 + 31770*q.\nAnswer: 5*q*(q + 1)*(q + 6354)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1422 and -63.9.\nAnswer: -90865.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21002111112 + 21100?\nAnswer: 21002202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11520 times 353?\nAnswer: 4066560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y - 5*a + 3 = 0, -4*a = -5*y - 27. Let j be (1 + -5)\/((-2)\/y). Let c be 920\/6 - j\/(-18). What is the greatest common divisor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0353 + 0.03273. What is r rounded to four dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 248*q + 50 = 243*q, 2 = -2*q. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113959361.\nAnswer: 3797, 30013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.2 and -18?\nAnswer: -57.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 12:42 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 11, -0.4, 5, 4, -0.83, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*4\/(-8)*2. What is the third biggest value in -1, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-1 - (0 - -4))) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*a - 12 = 0, g - a + 8 = -4*g. Let y = g + 13. Suppose -r - r = -3*n + 49, n - y = -2*r. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -0.02, -9 in decreasing order.\nAnswer: -0.02, -9, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 737 = h, -3*y - y + 3643 = 5*h. What is h rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-35)\/4)\/((-4)\/(-16)). Let z = 37 + v. Suppose a + 5*x = 26, -121 + 9 = -z*a + 5*x. List the prime factors of a.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*i - i + 9, -3*z - 16 = -4*i. Solve b + 0 - i = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100001111111011 - -11?\nAnswer: 1000100001111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8967, -8973, -8979?\n\"Answer: -6*c - 8961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 37*y**2 - 110*y + 403. Calculate z(-40).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2430\/7 + -350. Let i = -29 - -27. What is the smallest value in -1\/6, i, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -17\/2 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/5)*q)\/q**(6\/5) assuming q is positive.\nAnswer: 1\/q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 6*l**2 - 9*l + 10. Let k be m(5). Let c be (12\/k)\/((-2)\/2). Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9449*m + 9480*m - 1 - 18933*m.\nAnswer: -4*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-69)\/(-27)*-3*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + (24 - 1\/1). Let p be (26\/(-39))\/(o\/6). Sort 0.4, 2, p in descending order.\nAnswer: 2, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1576\/3 - 1577\/3. Which is bigger: 16 or o?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18386.\nAnswer: 2, 29, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3945768 and 13056?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -98.8 and -3?\nAnswer: 296.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 5, -1, -11, -41, -2 in increasing order.\nAnswer: -41, -17, -11, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + d**2 + 3*d**2)*((3 - 3 + d)*(-2*d + 2*d - 3*d) - 3 + 3 + d**2 - d**2 + 12*d**2 + 11*d**2 + 2*d**2 - 4*d**2 + 4*d**2).\nAnswer: 44*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -15, -43, -101, -201, -355?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*f + 5*c = -398*f - 10, -5*c - 15 = -3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 647*p**4 + 6180*p**2*u + 28229035*p*u wrt p?\nAnswer: 7764*p**2 + 12360*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(1\/4))**0)**(-30))**27 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-34)*a**(1\/3)*a**(-4\/7))\/((a**0*a)\/a**(-2\/3)*(a\/(a\/(a\/(a**(2\/7)*a))))\/a*a*a**(-5)) assuming a is positive.\nAnswer: a**(-643\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 12, f: 1}. What is prob of picking 2 i and 1 f?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 23*b - 48. Suppose -o + 28 - 3 = 0. Let y be a(o). Let 16 - 1\/4*j**3 - 12*j + 3*j**y = 0. What is j?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2016 is divided by 137?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - 1. Let d(b) = -2*b**3 - 20*b**2 - 594*b - 12. Calculate d(h) - 10*t(h).\nAnswer: -2*h**3 - 594*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 556 - 93*y - 1242 + 686.\nAnswer: -93*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**2 + 4*x + 10. Let r be b(-4). Suppose r - 8 = -3*a. Let p = a + 29. Solve -c - p + 2 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 734*w**2 + 123 - 123. Let j(g) = -2*g**2. Calculate q(j(r)).\nAnswer: 2936*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -35 - 11) + -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 5*f - 7. Let t(i) = i**2 + 7*i. Let d be t(-7). Suppose d = -3*z - 3 - 0. Let q(r) = 6*r**2 + r + 1. Let y be q(z). Calculate a(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270*n**2 + 198*n**2 + 203*n**2 - 537*n**2.\nAnswer: 134*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -35, 23 in ascending order.\nAnswer: -35, -3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n. Let z be 40\/14*70\/20. Let h(a) = -13*a + 1. Let x be h(-2). Let m(b) = 27 + z*b**2 - x. Give f(m(k)).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - (-66 - (-54 - 3) - (-1 - 24)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7268\/19 (b) -7 (c) 87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**4\/48 - 5*m**3\/8 + 2*m**2 - m - 9. Suppose l(z) = 0. Calculate z.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.8559, 0.5, -4, 2\/553?\nAnswer: -0.8559","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - (-1 + 2 - 5). Is c > -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-414)\/(-36) - (-2)\/4. Let p(h) = 1 + k*h**2 - 14 + 5 + 2*h. Let u(i) = i + 1. Let v(c) = p(c) - 2*u(c). Find the first derivative of v(j) wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43982146 times -0.3\nAnswer: 13194643.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-2))\/(8\/256). What is the greatest common factor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2058 and 25284?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*b + 1)*(0 + 2 + 0 + (-2 + 4 - 1)*(-1 + 3 - 6))*(-1 + 1 - 15)*(-23 - 2 - 6) as t*b + o and give t.\nAnswer: -1860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3936, -3920, -3900, -3882, -3872?\n\"Answer: -m**3 + 8*m**2 - m - 3942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -2028, -0.998, -3?\nAnswer: -0.998","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 50 - 39 + u**2.\nAnswer: u**2 + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/48 - 58\/(-44) - 6\/462*-124\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g + 3*r = 14, -6 = 3*g - 3*r. Suppose 2*l - 2 = g*w, 6*w - 3*w + 5*l - 5 = 0. Solve -i + s - 3 = -w, -s - 1 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2 (c) -5 (d) -55 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**6\/120 + 5*m**5\/12 - 31*m**4\/24 - 64*m**3\/3 - 61*m**2. Let c be o(-26). Solve 5*a - 10 = -5*d, c*a + 2*a - 4*d = 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -265, -539, -797, -1027, -1217, -1355?\n\"Answer: 2*m**3 - 4*m**2 - 276*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 6*f**2 - 10*f - 36. What is the remainder when 80 is divided by b(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -396 - -393. Sort -26, i, -1.\nAnswer: -26, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*o - 16338 - 4697 - 1477 = 0 for o.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-25)\/10 + 2). Suppose -5 - 1 = -x*m. List the prime factors of 12\/3 + (m - -36).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -469 - -478. Solve p + f = 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001000 (base 2) to base 9.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 435 by -3.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.062 - 7.98. Let x = 0.082 - t. Let o = -1.8 + 2.1. Which is the nearest to -5? (a) o (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8429932 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 20 + 12. Suppose 2*w - m + 4 = 0. Suppose -5*y + 15 = -w*y. Solve -y*t + 13 - 3 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f + 5*f - 2*f)*(-f + 2*f - 4*f)*(-f + 2 - 2).\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 367\/4 (b) 0.5 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221102 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7260155 tonnes in grams?\nAnswer: 726015.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17248 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 308, 1081, 2370, 4175?\nAnswer: 6496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 289*l - 3019. Suppose 0*r = -2*r, -4*r - 205 = -5*h. What is the remainder when i(11) is divided by h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*q**4 - 123 + 4*q + 122 - q**4 to the form u*q**4 + t + r*q + a*q**2 + s*q**3 and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a - 547 = -357 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000465198 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2213657?\nAnswer: 29, 76333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + (sqrt(76) - ((-4 + sqrt(76))*6 + sqrt(76))**2) + 1.\nAnswer: -4299 + 676*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -15*i**3 + 4*i**2 - 6*i + 3. Let h be r(1). Let z(c) = 7*c**2 - c + 3. What are the prime factors of z(h)?\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - 55?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**7\/140 - 5*k**4\/12 + 4*k**3\/3 + 5*k. Let n(g) be the second derivative of w(g). Differentiate n(u) with respect to u.\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -8, -502, -1 in increasing order.\nAnswer: -502, -72, -8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 813971.\nAnswer: 813971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 202021100121?\nAnswer: 202021100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 35 = -4*y. Let z be y\/10*(1 + -3). Calculate the lowest common multiple of 11 + -1 - (z + 2) and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/856 and 59\/376.\nAnswer: 40232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*v - 2*y - 4, -v - 5*y + 10*y = -10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 9.99, 4, -17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (2\/(-4) + (-238)\/(-4)). Let x = 57 + k. Let v(d) = 1. Let g(i) = -i**2 - 1. Calculate x*g(y) - v(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 703*l - 705*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4259 + 2172 = -69*k - 40*k for k.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -18859*c**2. Let m(j) = 797*j. Calculate u(m(d)).\nAnswer: -11979406531*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 194 - -9. What are the prime factors of z?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/5244 and 121\/380.\nAnswer: 26220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 16 = 3*n, -12*f + 6 + 4 = -16*f + 6 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115826 (base 10) in base 15?\nAnswer: 170936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*s + 7*s. Let n(g) = -g**2 - 18*g - 28. Does 11 divide n(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -107*w**3 - 18*w**2 - 22*w - 3. Let s(g) = -322*g**3 - 60*g**2 - 64*g - 10. Give 3*s(y) - 10*t(y).\nAnswer: 104*y**3 + 28*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -569 in -0.2, -0.1, 1, 205, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -38. Let q = -32 + a. Suppose -4*l + 36 = 3*v - 1, -3*v - l = -43. What is the lowest common multiple of v and q?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0.7. Let u = r + 1.3. Let c = 1 - u. Sort 0.05, c, -2\/11.\nAnswer: -2\/11, 0.05, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 20. Let v be z(0). Let h = 26 + v. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7613 - 7613. Solve -3*i - 834 + 843 = g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 9:01 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2124, 2112, 2080, 2016, 1908, 1744, 1512?\n\"Answer: -2*d**3 + 2*d**2 - 4*d + 2128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x - 15. Let k(t) = t - 7. Suppose 2*g + 12*b - 11*b + 1 = 0, -g + b = -7. What is g*d(c) - 5*k(c)?\nAnswer: -c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -12 - 4*k + 0 + 7. Let o be s(-2). Let n be (-53)\/(-4) + 1\/(-4). Solve 4*w = -n - o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62.6 + 62.5999234. What is o rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5042731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 5*l = -192, -54 = -1529*l + 1533*l + 90 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.15 + 3.15. Let y be 1\/(18\/(-252)) + 15. Which is the biggest value? (a) y (b) -105 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -57. Suppose n = z + 95. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0.06, -3, -0.1 in descending order.\nAnswer: 0.06, -0.1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/9 (b) 0.3 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -28, -9, 2, -5 in increasing order.\nAnswer: -28, -9, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 352, 861, 1372, 1885, 2400, 2917?\n\"Answer: v**2 + 506*v - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-45)\/(-6)))\/(12\/(-180)*9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 312287, -1 in ascending order.\nAnswer: -9, -1, 312287","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/sqrt(3) + sqrt(45) + -5)**2 + (-1 + sqrt(5) + 0)*-2.\nAnswer: -62*sqrt(5) + 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7466\/5 + -1493. What is the fourth biggest value in 7, 0.5, k, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v - 20*v - n + 235 = 0, -n = -18 + 13 for v.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 93275.49mm?\nAnswer: 9327.549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j - 8. Let d be n(7). Suppose d*z + 5 = 5. Suppose 2*f = -z*f - 2760. What is f rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 151, 282, 495, 778, 1119, 1506, 1927, 2370?\n\"Answer: -2*u**3 + 53*u**2 - 14*u + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 274.4 + -282. Let u = 9.6 - 6. Let j = u + s. Which is the second smallest value? (a) j (b) -2\/5 (c) -0.6 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2512 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46 - -48)\/((-13)\/((-3094)\/28)) - 28.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -823 divided by 177\nAnswer: -823\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/153, -4, -2\/5 in descending order.\nAnswer: 2\/153, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/12*-2 + 5. Suppose -3*r = -17 - 19. Solve l*z - 15 = z + 5*u, 4*u + r = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -356 - 664530?\nAnswer: -665216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73815 + 73839.6658. Let o = n - -0.0342. What is o rounded to 0 decimal places?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 6*d + 3. Let b(m) = -6*m**2 + 60*m + 6. Let u be b(10). What is the lowest common multiple of c(u) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37\/5 + -249\/35. What is the nearest to 2 in l, -0.4, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 9*u**4 - 21*u + 86. Find the first derivative of g(l) wrt l.\nAnswer: 108*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 59. Let w be -1 - (-7)\/2*4. Suppose 2*k + 2*m - 10 = 0, u*k = k - 5*m + w. Solve 4*c = -5*h - 8, -2*c = -h + k*h + 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381*f - 290 = 383*f. Find the common denominator of (-20)\/8*-3*f\/(-1080) and -59\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202100010 (base 3) to base 14.\nAnswer: -5590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + 25. Let n = 20 - b. What is the units digit of -3*(n\/3 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4718681*v**2 - 9*v - 44118 wrt v?\nAnswer: 9437362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172080 divided by -2151.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.23 + 9.23. Let x = 15 - r. Let q = -5.94 + x. Which is smaller: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2688) + sqrt(2688) + sqrt(2688)*1)*-6*5)\/((sqrt(7776)*3 + sqrt(54))\/(sqrt(72)\/(sqrt(40)\/sqrt(5)))).\nAnswer: -720*sqrt(7)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 25*a + 107. Let v be d(20). Solve n + 7 = -m, n = 3*m - v*m - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557173609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/7, -101, -5, 2.\nAnswer: -101, -5, -1, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0479013 and -4?\nAnswer: 0.1916052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 7*y**2 + 3*y + 5. Let z be o(7). Let q be (-3 - (-15)\/5)\/1. Solve f = -5*t + 2*t + 14, -f + 5*t - z = q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -20) + (8 + -8 - (1 + 3))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3228558 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2295158253 rounded to the nearest 100000?\nAnswer: 2295200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27926 - 9314 - 9306 + 42*g**3 - 9309.\nAnswer: 42*g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 133889 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5117432665?\nAnswer: 5, 4663, 219491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1134 and 11\/6090.\nAnswer: 164430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15332470163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 3*p - 2. Let f be r(-5). Suppose 3*m - f = 2*m. Solve -4*d - 8 = m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**4\/4 - 39*s. Let k(c) = -54*c**2. Calculate k(z(f)).\nAnswer: -486*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.06 and 26575.\nAnswer: 26575.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 28. Let s(b) be the second derivative of b - 1\/10*b**5 + 0*b**a + 0 + 1\/6*b**4 + 0*b**3. What is the third derivative of s(h) wrt h?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1302623*v**2 - 1302623*v**2 - 74*v**3 + 33*v**3 - 154*v**3.\nAnswer: -195*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -940330.9389963 - -940331. Let a = -0.061 + j. What is a rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 22*d + 27. Calculate n(-25).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 0.09245.\nAnswer: 1.90755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155184 (base 10) to base 11.\nAnswer: a6657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 25.5. What is the second biggest value in 0.1, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 7*x + 1. Let v be n(-3). What is the highest common factor of v and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*k + 112*k = -6824 + 31772 for k.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 5)*(0*g + 6*g - g)*(87 - 87 + 18*g).\nAnswer: -450*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53703, 107413, 161123, 214833, 268543?\nAnswer: 322253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(24)\/(sqrt(32)\/sqrt(4)) - sqrt(12)\/(sqrt(8)\/sqrt(2))) + -5) + (sqrt(192)*-3 - (2*sqrt(363))**2) + -5.\nAnswer: -1447 - 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3\/4 - 307*j**2\/2 + 113645*j\/4 + 2041629\/2 = 0.\nAnswer: -757, -31, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 = 6. Let g be n\/3*27\/(-2). Let o be (220000\/6)\/((-6)\/g). Round o to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k + 3*k + 3*k - 16*k + 5*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2. Let a(s) = -142*s**2 - 30*s. Let o(p) = p**2 + 5*p. Let m(j) = a(j) + 6*o(j). Calculate m(z(h)).\nAnswer: -2176*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - q - 7 = m, -4*m = 2*q - 26 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 2*p**3\/3 - 49*p**2 + 176*p - 3. Calculate t(22).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 101. Let u = -20 + z. What is the highest common factor of u and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47376408 or -142129220\/3?\nAnswer: -47376408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8403 - -8407. Which is the fourth biggest value? (a) o (b) 2.2 (c) 0.7 (d) -1 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373*p - 15 = -746*p + 378*p, -p = 12*i + 159 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 603953680 to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56743*b**2 - 16*b + 126216867.\nAnswer: -113486*b - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -11*x - 10. Let r(o) = -191*o - 6. Let d(t) = -414*t - 13. Let w(b) = -6*d(b) + 13*r(b). Determine k(w(z)).\nAnswer: -11*z - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2301 (base 8) in base 12?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aey when three letters picked without replacement from {e: 1, y: 1, a: 2, l: 4}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -9*u**4\/4 + 6112*u. Let s(q) = -124*q**2. Determine f(s(a)).\nAnswer: -415152*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 461586297 to the nearest integer?\nAnswer: 21485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/6 - 386*u\/3 - 74498\/3 = 0. Calculate u.\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 129*y**2 + 3311*y + 1653. Determine n(151).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 + -5 + 4 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 36*b + 816 = -34*b, m + 2*b - 407 = 0. List the prime factors of m.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/6*(-9)\/(-12). Let t(n) = -5*n - 2*n**c + 1 + 4*n**2 + 2*n**2 - 3*n**2. What are the prime factors of t(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + m + 5 + (7 + 1 + 2)*(-2*m - 4*m + 0*m) + (-2 + 9 - 3)*(5*m - 2*m - 4*m) in the form y*m + o and give y.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -26?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -304 + 299 - (4 - 2 - (35 - -17))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25593285 and 1425.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 - (-1385 + 14 + -28) a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6966\/432 - 17)*-8*2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 61*i - 64*i + 2 = 0, 4*u + 16 = -i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g*n*p**3 - g*n*p**2 - 4*g*p**2 + 7*n*p**2 + 24*p**3 wrt n.\nAnswer: -3*g*p**3 - g*p**2 + 7*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**1\/d*d**(-7)*((d**(1\/5)\/d)\/d)\/d*d**3\/d assuming d is positive.\nAnswer: d**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + ((-204)\/(-6) + -20 - 15)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -159, -6, 6 in decreasing order.\nAnswer: 6, -5, -6, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-647*h**2 + 647*h**2 + 10*h**3)*(19*h**2 - 10*h**2 + 10*h**2).\nAnswer: 190*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 1.3. Let f = -813.512 - -810. Let v = -1.488 + f. Put v, d, 3\/2 in ascending order.\nAnswer: v, d, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*j**3 + 681*j**3 - 230*j**3 - 227*j**3 + 18314.\nAnswer: -3*j**3 + 18314","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.808 - -2.808. What is the nearest to 85 in -1\/5, 2\/15, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 5.97. Let p = -790.97 - -795. Let y = p + r. Sort -0.3, y, -2\/11 in descending order.\nAnswer: y, -2\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 + 88974*l**2.\nAnswer: 2*l**2*(l + 44487)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2. Let p(b) = -2*b + 37. Determine v(p(w)).\nAnswer: 4*w**2 - 148*w + 1369","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -40032, -39990, -39948, -39906, -39864?\n\"Answer: 42*b - 40074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79880*n**4 + 25*n**3 - 1309397*n + 6?\nAnswer: 958560*n**2 + 150*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 6:11 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 672 - 668. Let m = 0.06 + -2.06. Let q = m - -3. Which is the nearest to 2\/5? (a) q (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2 + (sqrt(2736) - (-1 + sqrt(2736))) + 2)**2*3.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*o**2 - 2*o - 6 - 12 - 19 + 23 + 22*o**2 to the form c*o**2 + r + x*o and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from {g: 4, r: 5, b: 1, z: 1, s: 5}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m - 14. Let r be c(3). Let p(w) = -9*w + 4. List the prime factors of p(r).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -477.97+-1.45\nAnswer: -479.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4735067+-4621\nAnswer: -4739688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - 1.1. Let p(a) = -a**2 + 16*a + 13. Let i be p(17). Sort i, -8, f in ascending order.\nAnswer: -8, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1746660?\nAnswer: 2, 3, 5, 43, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -341, -2, -777 in decreasing order.\nAnswer: -2, -341, -777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 + 34*g + 23. Let w be v(17). Is w > 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100 and 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 182 - 372. Let n = -190.3 - m. Let y = 93\/418 - 5\/38. Which is the closest to -2\/7? (a) 0.1 (b) y (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 68. What is the units digit of n + 6 + (-6 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y**2. Let v(j) = -20*j**2 - 8*j - 25*j**2 + 8*j. Give v(d(a)).\nAnswer: -2205*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 14) to base 12.\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/30)\/(1\/5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y\/(y*(y*y*(y*y**(6\/7))\/y)\/y*y))**(-27))**(-9\/2))**(-6) assuming y is positive.\nAnswer: y**(4374\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23012042 + 30?\nAnswer: -23012012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 3269 = -1593. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(1 - 2) + 269. Suppose 5*k = 25, -3*s + k + 2*k = 3. What are the prime factors of s\/(-10) + w\/20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6 + (-103)\/309. Solve s = 10*c - 13*c - 5*w + 17, 15 = 4*c - w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -219\/5*p**2 - 3\/5*p**3 - 45 + 447\/5*p.\nAnswer: -3*(p - 1)**2*(p + 75)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131 + -125. Suppose q*z - 569 = 1303. Is 39 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5374 + -3682. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from clclscssdclccclclccc. What is prob of sequence csds?\nAnswer: 11\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x**2 + 4. Let u(h) = -7*h**2 + 6. Let p(a) = -6*j(a) + 4*u(a). Let k(l) = -15*l + 2. Calculate k(p(r)).\nAnswer: -30*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*t = -1, 2*w - 7*w + 5*t + 5 = 0. Let g = 0 + w. Suppose -g*v - 2*v = -1100. Calculate the greatest common divisor of v and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 137.663 or 163\/3?\nAnswer: 137.663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 184716031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 1352617 (base 11) in base 3?\nAnswer: 11101102222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -233 - 552606?\nAnswer: -553142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-2)*(-30)\/9. Suppose -2*h = -b*h + 18. Suppose -h = a - 2*m, a + 4*m - 16 = 2*a. Solve -5*f + 5*k - 2 = -2*f, a*f + 3*k + 22 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - 2*q + 57*q**4 + 10 + 5*q**3 - 59*q**4 - 6*q**3 to the form y*q + u*q**2 + t*q**3 + r*q**4 + v and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 799727, 799730, 799733, 799736, 799739?\nAnswer: 799742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 + 2.7. Let q = w - 2.00072. What is q rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 911 not equal to 154356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -394582 divided by -14\nAnswer: 197291\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1659139*a**4*c*r + 4*a**4*r + 680*a**2*c + 2*a**2*r - 4*a*c*r - a*c + 2*a*r + 618 wrt a?\nAnswer: 39819336*a*c*r + 96*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 7*u**2 + 7*u - 2. Let c be b(6). Suppose -w - 22 = -c. Let r = w - -22. Is r bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 + 100*u**2 + 19*u + 233. What is the thousands digit of p(50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a meter in millimeters?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (164\/(-39))\/(-4). Which is the third biggest value? (a) u (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -514.4 + -36.6. Let h = t + 550.99667. What is h rounded to 4 decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4703 - 4700.4616. Round t to 2 decimal places.\nAnswer: 2.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12*-100.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 41\/2 - 6\/(-48)*-4. Is 20 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 512820 divided by 777\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -40. Let n be (-8)\/(-36) + 4\/c. Let j = n + -3. Sort 4, j, 1 in increasing order.\nAnswer: j, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 12) in base 13?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 4)\/(11 - 26418\/2394)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**8\/5040 + v**7\/840 - v**6\/540 - 11*v**3\/3 + 20*v. Let d(l) be the second derivative of s(l). Factor d(n).\nAnswer: -n**2*(n - 2)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/150571 at least as big as -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 57738307 less than or equal to 115476613\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 - 7*i - 12. Let x(p) = 2*p**2 - 6*p - 11. Give 6*a(o) - 7*x(o).\nAnswer: -2*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 5*c. Suppose -6 = -l - c*j - j, -5*l + j + 30 = 0. Let g be (2 + 3\/(-2))*l. Solve -2*t - 4 = g*i, 0 = -2*t + 2*i + 3*i - 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 151, 225, 297, 367, 435?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2 + o. Let f be c(2). List the prime factors of 14\/(-3 + (2 - (-21)\/f)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 11*o - 64. Let i be q(6). Suppose i*m + 1115 = 1103. Which is smaller: -5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1595)\/46255)\/((-2)\/29).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41423.1 milliseconds to nanoseconds.\nAnswer: 41423100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 1)\/((-1)\/(-8)). Suppose -2*o - 33 = g, -136*o + 2*g = -141*o - 85. Let p be 3 + (f - -4) - o. Calculate the highest common divisor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-22) + 51\/22. Let t = -7 - -4. Sort t, 1\/7, f.\nAnswer: t, 1\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -64*q - 179. Let z be i(-3). Factor 409*v**4 - 139*v**4 + z*v**2 - 69*v**3 + 3*v**5 + 23*v**2 - 116*v**4 - 124*v**4.\nAnswer: 3*v**2*(v - 1)**2*(v + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -5*(sqrt(208) + 3 + sqrt(208)))**2 - ((sqrt(208) + -3 + sqrt(208))*2*3)**2)*-5.\nAnswer: -16640*sqrt(13) + 45380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 8) in base 16?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -281, -711, -1327?\nAnswer: -2129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -80593*z**2 + 59*z + 799 wrt z?\nAnswer: -161186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = u - 7, 0 = -u - u + 4*f + 2. Let t be (-2)\/(-7) + (-2)\/7. Suppose -u*m + 159 = -t*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 10*f. Let z = -9 - -6. Let i = z - -8. Let h(l) = 7*l - 10*l - i + 5. Give w(h(g)).\nAnswer: -30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.04 + 1.028. Let s = -1.00781 - g. What is s rounded to 4 dps?\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is fa - -5?\nAnswer: ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49698 and 4050387.\nAnswer: 8100774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 7*v**5\/12 + 76*v**2. Let y(k) = -3*k. Calculate f(y(o)).\nAnswer: 315*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 109, 160, 243, 370, 553, 804?\nAnswer: 1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = 3*h - 836. Let s = 95 - h. Solve -s = 4*t - 3*x - 0, -7 = 3*t + 5*x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 61 + 3?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1\/5, 8, -5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 + 25. Let i be ((-39)\/m)\/((-6)\/(-8)). Suppose -i*o - x - 23 = -7*o, -5*o - x + 17 = 0. Solve -j = -y, y - o*j = j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - -3*(-1 + sqrt(75)) - (-1 + sqrt(75)*1)) + 0 + 0 + (sqrt(75) - (sqrt(75) + -2*sqrt(75))) + sqrt(75))**2 + 3.\nAnswer: -120*sqrt(3) + 2707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i - 10. Let z be (-5)\/20 + (-66)\/(-8). Let d be q(z). Solve d = 5*w - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 141, 314, 567, 906, 1337, 1866?\nAnswer: 2499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4 = s, g - 2*s = 7 - 3. What is the second derivative of -2*c + c**g - 3*c**4 + 3*c**4 wrt c?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 988?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19679 + 19679. What is the fourth biggest value in b, 4\/61, 4\/7, 3\/4, 2?\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z - z**2 + 4*z + (1 - 4 + 1)*(-2*z**2 - z + z) + 0*z**2 - 2*z**2 - 4*z**2 + 6*z - 6*z - z**2 + (1 - 1 - z)*(-629 - 87*z + 629).\nAnswer: 83*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3500 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7787, -31125, -70013, -124451, -194439, -279977?\nAnswer: -381065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5063*x + 329085. Give a(-65).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4021893 and 2452?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xyayxyxyyyx. Give prob of picking 1 y and 3 x.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -138*c - 132*c + 547*c - 24 - 140*c - 140*c. Let g(l) = l + 8. Calculate 3*a(z) + 8*g(z).\nAnswer: -z - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 115712, 115713, 115714, 115715, 115716?\n\"Answer: n + 115711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - 3 - 0 - -2. Let j be -1 - -1*(-3)\/a. Let m be (1\/j*1)\/1. What is the smallest value in m, -0.3, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259495998 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/2)\/((-4)\/(-2)). Let z be 3 + l + (-5)\/(-1) + -5. Solve 7*u = 2*u + z*g + 28, -20 = -5*u - 5*g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, e: 1, l: 3, c: 1, n: 1}. Give prob of sequence enwc.\nAnswer: 7\/17160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13368 = -632*d - 260*d - 222*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l = 64. Let h = l - -27. What are the prime factors of h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**3 + 17*r**2 - 9*r - 17. Let k(w) = -2*w - 4 - 3*w**3 + 0*w**3 + 2*w**3 + 4*w**2 + 0*w. What is 9*k(c) - 2*z(c)?\nAnswer: -c**3 + 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170026 divided by -4223.\nAnswer: -170026\/4223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, m: 3, n: 2, p: 1, a: 1, f: 6}. Give prob of picking 1 n, 1 a, and 1 f.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4 - 234*h**3 - 681*h**2 - 450*h.\nAnswer: -3*h*(h + 1)*(h + 2)*(h + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3499 and -782.7.\nAnswer: 2716.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r + 18. Let b be j(-5). Suppose -b*v - 25 = 98. Let s = v - -88. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 3223300?\nAnswer: 3223223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7541 = 4*w + 5*g, -w - 62 = -2*g - 1957. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189208 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(378)\/(sqrt(162)\/sqrt(2)))\/(((sqrt(180)*-2)\/sqrt(10))\/(sqrt(36)\/(sqrt(24)\/sqrt(2))))*2.\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 12*x + 96 = 0. Suppose 4*j - 3*u = 32, 0 = 4*j + u - 5 - 11. Let w = -2 + j. Which is the fourth smallest value? (a) x (b) w (c) 1\/3 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 + (-3)\/20. Let k be -5 - 1028\/(-618)*3. Let h = 314\/515 + k. What is the third biggest value in 0.4, l, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -56\/3 (b) -105 (c) -2\/129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*u**5 - 786*u**4 + 65914*u**2 wrt u.\nAnswer: -1080*u**2 - 18864*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkjhkjknjkkkfjjnjjny. Give prob of picking 1 n and 1 f.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 681 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -260.7 + 142.9. Let v = j + 118. Which is the third biggest value? (a) -1\/4 (b) v (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 8 - 516\/66 - (0 + 0)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 - 0.43. What is the closest to 0.1 in -1\/2, -1\/4, v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 107, 562, 1793, 4190, 8143, 14042, 22277, 33238?\n\"Answer: 65*w**3 - 2*w**2 + 6*w + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385629 + 112698 + 355548 = 15*u. Is 99 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452 = x - 4*j - 52, -x + 501 = -3*j. Let o be (0 - -4)*x\/16. Which is the second biggest value? (a) 0.2 (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/3492272?\nAnswer: 1\/3492272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**2 + 4330*l + 21700 = 0.\nAnswer: -5, 2170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l**2 - l**2 - 3*l**2 - 6)*(0*l + 0*l + 2*l**2) + 22*l**4 + 204*l**4 + 13*l**4 to the form m*l**3 + h*l**4 + g + y*l + c*l**2 and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*c + 140, 5*c + 5*b = 2*b + 310. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**4\/12 + 2*d. Let f(j) = 1. Let w(u) = -2*u - 2. Let x(y) = -2*f(y) - w(y). What is v(x(l))?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.4 in 23, -204, 5, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 14*u + 199. Let f be q(-14). Solve -f*t - 9 = -3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11752.\nAnswer: 2, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5)\/(r*r**(-4)*r*r))\/((r**6*r)\/r**(-2\/7)) assuming r is positive.\nAnswer: r**(-234\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + i - 5, 2 = 13*r - 17*r - i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*((-l - 4*l + 6*l)*(-1 + 1 - 5) + 2*l - 1 + 1) - l + 2*l + 0*l + (3*l - l - l)*(-2 - 2 + 5) + 3*l + 0*l - 2*l + l + 4*l - 6*l - l - l + 4*l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-18))\/(529\/47610)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -caf (base 16) in base 3?\nAnswer: -11110021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24*i*k*p**2 - 2*i*p**2 + 2*i*p*r - 29*i*p - 13*k*p*r**2 - p**2*r**2 + 19*p*r**2 wrt k.\nAnswer: 24*i*p**2 - 13*p*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 82.56524 milligrams?\nAnswer: 0.08256524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*v - 1316 + 13 = -30*v + 1921 for v.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -343\/295280 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3afee8 (base 16) to base 9\nAnswer: 7242557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146775?\nAnswer: 3, 5, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {e: 1, t: 5, n: 2, y: 5, k: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upll when four letters picked without replacement from tllulplmp.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006923519 to 6 dps.\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101460 is divided by 178?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**5\/20 - t**4\/2 - t**3 - t**2\/2 - 2*t. Let u be 2\/(-6)*(16 + -1). Give p(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/72 and 89\/1316.\nAnswer: 23688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 5. Let l(a) be the third derivative of a**4\/24 - 2*a**3 - 108*a**2. Let i(u) = 2*l(u) + 3*x(u). What is i(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**2 - 30*r - 9. Does 12 divide k(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/7 of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3279587719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3 + 62092*a**2 + 481927058*a = 0. Calculate a.\nAnswer: -15523, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 75 + 0*r**4 - 77 - 133*r**2 - r**4 in the form w + p*r + s*r**2 + k*r**3 + t*r**4 and give s.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3572636595.\nAnswer: 3, 5, 11, 19, 151, 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2. Suppose -31 = 4*m + 5*a, -4*a - 32 = -m + 5*m. Let s be (-11)\/(-9) + 2\/m. Is s at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 730*n**2 - 2055*n - 12870.\nAnswer: -5*(n - 143)*(n - 6)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrf when three letters picked without replacement from {f: 8, r: 5}.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 1406148 in descending order.\nAnswer: 1406148, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/21)\/(14\/(-63))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74695980 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1806662, 5 in descending order.\nAnswer: 1806662, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/3*4971)\/5*5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5116548 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2503, 2546, 2635, 2794, 3047, 3418, 3931?\nAnswer: 4610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10669, 7, -5, -9 in descending order.\nAnswer: 10669, 7, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 108*k + 14161. What is p(-131)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133092.7 centuries to years.\nAnswer: 13309270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-1 + 0 + 0 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2045915 and 296?\nAnswer: 16367320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -233b?\nAnswer: -2337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -613, -610, -607, -604, -601, -598?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.9553035 to 3 dps.\nAnswer: 21.955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 3*j**2 - 3*j - 3. Let s be n(4). Let q be s\/(((-2)\/(-2))\/1). Let y(m) = 5*m**2 + m - 1. What is y(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -12*g + 5. Let o(k) = 4*k - 2. Let x(l) = 8*o(l) + 3*w(l). Suppose -2*m + 4*b = -18, -3*m + 0 - 13 = 2*b. What is the units digit of x(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 391248911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/1)\/((-13)\/(-195)). What is the remainder when (54\/q - -4)*40 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 + (-3 - -6) + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-5)\/(-30)*12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 5*c**5 - 23665*c**4 + 28036355*c**3 - 80493475*c**2 - 4023811000*c - 3915257500 = 0.\nAnswer: -10, -1, 14, 2365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 449174 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, a: 4, p: 4, z: 1}. Give prob of sequence hphp.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, z: 3, i: 1, b: 3, g: 3, f: 2}. Give prob of picking 1 g and 3 z.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 26*h**2. Let t(k) = -27*k. Calculate t(b(r)).\nAnswer: -702*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5799394\/7, 0.4, -11\/3 in decreasing order.\nAnswer: 0.4, -11\/3, -5799394\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-5 + sqrt(432))**2 + sqrt(432))*-4 + -4 + (4*(2*sqrt(432) - sqrt(432)) - (sqrt(432) + (sqrt(432) + -1)*4)**2).\nAnswer: -12632 + 960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*y - 403, -28 = -2*y - 20. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -14*j**2 + 2. Determine a(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 2404\/3953?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/36*126\/(-294)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/(-285))\/(9\/(-30))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*u + 7199 = 1481 + 1874 - 3926 for u.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 788?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 61\/((-5185)\/(-102))*120. Calculate the highest common factor of 612 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 8*r + 5. Let t be (13 + 3)*2\/4. Let o be i(t). Let l be 0*(-1)\/(-4)*-2. Solve -5*a + a + 4*s + 32 = l, -2*a + 28 = -o*s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b. Suppose i + 5*o = -4*i + 35, 3*i + 3 = 3*o. Let w(r) be the first derivative of 1\/3*r**i - 2 + 0*r + 0*r**2. Calculate a(w(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5\/4*c**3 + 335\/4*c**2 - 685\/4*c + 345\/4 = 0. Calculate c.\nAnswer: -69, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1388 - 2*g**2 + 1388 + 4*g. Let p(r) = -2*r**2. Determine y(p(l)).\nAnswer: -8*l**4 - 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -17*y - 14. Let v(r) = 8*r + 8. Let u(w) = -3*c(w) - 5*v(w). What is u(2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**2 + 14*m**2 - 46 + m**3 - 2*m**4 - 2*m - 88*m**2 + 50 + m in the form t*m**2 + a*m**4 + b*m**3 + q + n*m and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c*h**3*m**3 + c*h**3 - 122*c*h**2 + 5*c*h*m**2 - c*m**3 + 6542*h**3 - 2*h wrt h?\nAnswer: 18*c*m**3 + 6*c + 39252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 18656\/(-2508) + (-161)\/21.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from wzzzzazzzzwazzzza.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 130\/(2*((-5)\/20 + 0)). Round a to the nearest ten.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3423 divided by -1\nAnswer: -3423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - -25. Let n = 42 - l. Suppose 4 = k - f, 4*k - 3*f + f = n. What is the closest to -1 in -0.3, -2\/27, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12413 (base 5) in base 3?\nAnswer: -1100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 359*v + 392*v - 77*v**2 + 112*v**2 to the form d*v + k + t*v**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5122410293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - f + (1 - 2 - 1)*(2 - 2*f - 2))*(-5 + 24*f**3 + 5) as h*f**2 + u*f**4 + n*f + c + m*f**3 and give u.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -14*t - 3. Let s(l) = 41*l + 8. Calculate -11*m(r) - 4*s(r).\nAnswer: -10*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j - 4 = -14*j. Let m(y) = -j*y**2 + 6*y**2 - 3*y**2 - y**2. Let u(i) = 3*i. Determine u(m(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5111.\nAnswer: 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13305*c + 13290*c = -4*f - 184, 0 = 5*c - 4*f - 224 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -204 by -34.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17773856 and 13348.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((221712\/(-1490))\/186)\/((-376)\/30)?\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5 = 17. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4565054*x + 63*x**3 + 4565054*x.\nAnswer: 63*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9687, -77580, -261871, -620760, -1212447, -2095132, -3327015?\n\"Answer: -9700*u**3 + u**2 + 4*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000171078 rounded to seven decimal places?\nAnswer: -0.0000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8221489477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -2*p - 4, 6 = -5*p + 2*p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 3. Let m be (-2)\/4*2 - g. List the prime factors of 12\/m*(-34)\/(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**4 - p**2 - 507 + 507 wrt p.\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*r + 28 = 0, -u + 6*r - r = -22. Suppose u*h + 4*b - 200 = 0, -3*h - 7*b + 5*b + 292 = 0. Is h a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a - a + 2*a)*(-2*a + 10*a + 3*a)*(26*a**2 - a + 150 - 8*a**2 - 152) in the form t*a**2 + k + y*a**4 + m*a + d*a**3 and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -10 + -34 + 14\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 - 5 + 3*q**3 + 1 + 0.\nAnswer: 5*q**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3523?\nAnswer: 13, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -467544 divided by 264\nAnswer: -1771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -2) + (54 - -3). Suppose -m = -4*k - 1. Calculate the greatest common factor of k and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + u - 700 = 0, -2*t + 4*u - 1430 = 8*u. Let p = t + 705. Solve 0*g - 10 = -4*g - 2*a, p = -4*g + 4*a + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18717, 38036, 57355, 76674, 95993?\nAnswer: 115312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 - (1932\/(-108))\/7. Which is smaller: -3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27185053.\nAnswer: 7, 554797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16091 + 16105. What is the closest to 1\/3 in 1\/4, j, 237?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwwu when four letters picked without replacement from {k: 6, y: 4, w: 5, u: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65210, 65232, 65300, 65444, 65694, 66080?\nAnswer: 66632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - 1022343?\nAnswer: -1022412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 383053 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -20*v - 211. Let q be t(-11). Solve 14*b - q*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 9*y + 10. Let z be c(9). Suppose 6*w = w + z. Let g be (w - 3 - -3) + -2. Solve 4*o + o = 2*p + 8, 2*o = g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*k + 101*k + 100*k - 295*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + z + 4682*z**3 - 4587*z**3.\nAnswer: 95*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584487654 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 834211 is divided by 10918?\nAnswer: 4443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.1 - 3.05. Which is smaller: 0.2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + ((((sqrt(720)*-2 + sqrt(720) - sqrt(720)) + 5)*4)**2 - ((sqrt(720) - 2*sqrt(720))**2 + 5 + 6*sqrt(720)*-1)).\nAnswer: -3768*sqrt(5) + 45758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 442.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9746 (base 10) to base 15\nAnswer: -2d4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6636 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*j + 5\/4*j**2 + 1\/2*j**3 - 5\/4*j**4.\nAnswer: -j*(j - 1)*(j + 1)*(5*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 - 2*f**2 + 2*f**2)*(1 - 23*f + 15*f + 7)*(2 - 1 + 2).\nAnswer: 24*f**4 - 24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396 = -4*u + 3*a, -5*a + 170 + 194 = 4*u. Let t = u - 50. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -84*k + 373. Let w be l(4). Solve 102 = -w*x + 28 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -3*g + 5*z, 3*g + z - 147 = -z. Let q(t) = -2 + 50*t - 5 + g*t - 144*t + 45*t. Determine q(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 972 = -18*b - 84*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -31*r**2. Let y(m) = 12*m**2 - 10*m**2 - 43*m + 53*m. Determine y(j(k)).\nAnswer: 1922*k**4 - 310*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.6, 3, -0.01, 4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -333 - -750. What is the remainder when g is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (408\/(-120))\/(442\/1300)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 44. Let u be 6\/(-21) + (-250)\/7. What is the remainder when -2*2\/4 - u is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393 + 165 = 6*z. Let r = z - 91. Sort 4, r, -2, -3 in ascending order.\nAnswer: -3, -2, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19\/332157863931 - 174297678632325949270\/96657938403921. Let w = -1803242 - c. Let k = -3\/97 + w. What is the closest to 0.1 in -2, 0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -9, 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/12 + 0)*4*(-42)\/32.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1112252296.\nAnswer: 2, 433, 547, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657961939.\nAnswer: 107, 499, 12323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10060655?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/4, 1\/3, -5, -45, -1\/7 in ascending order.\nAnswer: -45, -5, -3, -1\/4, -1\/7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {c: 5, o: 1, e: 8, i: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 11 - 4. Is -10 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -176?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4670507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*x + 1259*x = 491*x - 25990 for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7052.354 millilitres to litres.\nAnswer: 7.052354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/7, 145, 7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1883\/126 - (32 + -17)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802418982.\nAnswer: 2, 3, 19, 7038763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**5\/30 - v**2 + 2*v. Let y(b) be the first derivative of q(b). Let x(c) = -2*c**2 + c**2 + 4*c**2. Give x(y(n)).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 14*b - 8*b. Let j(y) be the first derivative of 3\/4*y**4 + b*y**2 + 1\/2*y**6 + 16 - 6\/5*y**5 + 0*y**3 + 0*y. Factor j(o).\nAnswer: 3*o**3*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**6\/39 + 16*m**5\/65 + 10*m**4\/13 + 32*m**3\/39 - 533. Factor u(d).\nAnswer: 2*d**2*(d + 2)**2*(d + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-268)\/2546 - (1 + (-1153988)\/38) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000104562132 rounded to six decimal places?\nAnswer: -0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-2)*-1 + 12. Let y = -117 - -109. Let c = z + y. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*d - 4*c + 40, -2 = -2*c. What is the units digit of d - (4 + -1) - 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31042555.\nAnswer: 5, 59, 105229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.9515965 months?\nAnswer: 0.0245966375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {l: 1, t: 1, g: 6, q: 3, y: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 84296451 divided by -4?\nAnswer: -84296451\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssssss. What is prob of sequence ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 301 and 22178970.\nAnswer: 155252790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 2:34 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000057587496 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1526802 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/14 + (-418)\/(-385)*-10 + 12. Which is the nearest to -3\/5? (a) -15 (b) -0.3 (c) j (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l - 5*l - 4*l + 14*l + 2*l**3 - 8*l + 1021 as s*l**3 + c*l + z + m*l**2 and give z.\nAnswer: 1021","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-220)\/(-4) - (-659 - -676)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 942068681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95*q - 25*q**2 + 97*q + 5*q**2)*(244 - 15 + 11 + 203).\nAnswer: -8860*q**2 + 886*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3690270 to the nearest one hundred thousand.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13974\/(-685)*30\/54*-3.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from {s: 4, o: 1, b: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 17. Let g = n - -25. Calculate the smallest common multiple of (-34)\/(-4) + (-2)\/(-4) and g.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 13*y - 25. Let c(p) = -19*p + 38. Let m(a) = 5*c(a) + 7*s(a). What is the tens digit of m(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: In base 11, what is 39824 + 2955?\nAnswer: 41679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 16*o - 5. What is b(-13)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -60, 5, 373 in decreasing order.\nAnswer: 373, 5, -3, -4, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.34 + 417.34. Let o = -410.999537 + i. Round o to 5 decimal places.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -9*c**3 + 4*c**2 - c - 2. Determine p(2).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*k**3 - 31*k**2 + 67*k**2 - 36*k**2.\nAnswer: 119*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(-n**2 - n**2 + 3*n**2 + (0 - 6 - 8)*(-3*n**2 + 6*n**2 - 4*n**2) + (2 - n - 2)*(-18*n - n - n + (n + 0*n + n)*(2 - 3 - 2))).\nAnswer: 82*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -8 - -6) + -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d**2 + 4*d. Let r(y) = y**2 + y. Let g(z) = 4*r(z) - t(z). Let x(i) = 3*i**2 - i**2 - i**2. What is g(x(b))?\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -329562\/7 + 235736\/5. Let v = i + -87109\/70. Let b = -1224 - v. Find the common denominator of b and -45\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (3 - (1 + 4) - (10 - -6)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 5*i - 196 = 0. Calculate the highest common factor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 12, i: 6}. What is prob of sequence iiig?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -151*s + 147*s. What is the lowest common multiple of 70 and ((0 - -8) + 0)*s\/(-4)?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 2817 + 2812 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 18656*j - 12 + 18658*j - 32*j**2.\nAnswer: -32*j**2 + 2*j + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/297 and -79\/24.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 + 100111?\nAnswer: 111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 5*f**3 - 14435*f**2 - 14440*f = 0.\nAnswer: -1, 0, 2888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1108*m**3 + 250*m**3 - 822*m**3.\nAnswer: -1680*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22227390 = 18*t - 108*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5)\/((-15)\/99) + 0 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3843827, -3843836, -3843845, -3843854, -3843863?\n\"Answer: -9*d - 3843818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2569684907 to the nearest integer?\nAnswer: 50692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*w = -2*w - 27, -26 = 3*k + 4*w. Let f be (12\/(-28))\/(k\/7). Let v = 0 + -0.2. Sort -3, f, v.\nAnswer: -3, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 33*d - 9*d + 1 - 17*d - 5*d - 5*d**3. What is x(2)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -493, -1123, -2183, -3883, -6433, -10043?\nAnswer: -14923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1460831 and 3.04938?\nAnswer: 3.1954631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29177 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h + 21. Let t be b(10). Put 3, 0, t, -3 in decreasing order.\nAnswer: 3, t, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/(-9))\/(-2))\/13*-3\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 32.027 + 737951919\nAnswer: 737951951.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 6:13 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -545 + 652. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - u - 329 = 0, -3*y + 8*y - 2*u = 280. Solve 0 = 4*g - 13*g - y for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.15 and -14.87.\nAnswer: -14.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**2 - 13*z - 9. Let f(l) = -5*l**2 - 26*l - 17. Give -4*f(c) + 7*h(c).\nAnswer: -c**2 + 13*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x + 25. Let s(g) = 1. Let l(v) = 4*s(v) + w(v). Let r be l(-14). Do -10 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1929581 years in decades?\nAnswer: 0.01929581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 6:14 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2684854 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 107 (b) -2 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2436 and 24?\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 9*o**2 + 9*o + 11. Let u(a) = 56 - 51 + 4*a - 3*a**2 + 6*a**2 + a**2. What is -13*u(x) + 6*y(x)?\nAnswer: 2*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.21 - 0.01. Suppose 4*v - 17 = -1. Suppose n = -v*n. Which is the third smallest value? (a) n (b) w (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4 = 11. Suppose i*t - 57 = 33. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68ac9 (base 13) to base 15.\nAnswer: 3b7ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 306?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 9*q = -7. Suppose q*b + 3*b = 2570. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.067515 years to millennia.\nAnswer: 0.005067515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 24118\/7 - 16\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.3 - 0.356?\nAnswer: 7.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/269 (b) -4 (c) -14 (d) -16\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y. Let w(p) = -20*p - 17. Let s(i) = 7*i + 6. Let k(a) = 17*s(a) + 6*w(a). What is l(k(v))?\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 plus 162666391.0608?\nAnswer: 162666401.0608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6.227, -1035, -5, 1?\nAnswer: 6.227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -42.708.\nAnswer: -85.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 2081121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1615*c + 1285*c = 799*c - 44121 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 414 and 4462?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 4*o + 3. Let m be w(-5). Let n be (-1830)\/(-549)*(-12)\/8. Sort 3, n, 26, m.\nAnswer: n, m, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 4:02 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 + -85. Let k be ((-112)\/21)\/((-8)\/i). Solve 13*h - k*h = 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -142 + 352 - 428*g - 123 wrt g.\nAnswer: -428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -950.9 + 951. Suppose 3*f + 2 = 2*z, 2*f + 2 = 3*z - 1. Which is the closest to -1? (a) -1 (b) y (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16, 38, 68, 106, 152?\n\"Answer: 4*i**2 + 10*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 2, -19, 1 in increasing order.\nAnswer: -19, -4, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17006990.\nAnswer: 2, 5, 7, 11, 13, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91318949?\nAnswer: 347, 263167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/9 - 311806*q**2\/9 + 12212982512*q\/9 - 519982364504.\nAnswer: 2*(q - 77758)**2*(q - 387)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3746, -4107, -4672, -5411, -6294, -7291?\nAnswer: -8372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-31 + 8 + -6)) + (3 - 5 - 6)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5*n + 16. Suppose -n*f - f = -15. Suppose -f = -4*i + 5. Solve 7*q - 5*q + 3*x = i, -6 = -q + x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00200217629 to 5 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -66, -114, -194, -318, -498, -746?\nAnswer: -1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 159*w - 330 = -121*w, 4*y = 20*w + 168 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30564*b*v**5 + 40*b*v**4 - b*v + 1214*b + 1803 wrt v?\nAnswer: 611280*b*v**3 + 480*b*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3)*v*v**(1\/3)*v*(v*v\/(v*v*v*v**(2\/21))*v)\/(v**(-3)*v))\/(((v*v**6*v)\/(v\/v**0))\/(v*v\/(v\/v**(2\/9))*v**(-2\/7)*v)) assuming v is positive.\nAnswer: v**(-31\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-9))\/(4\/12). Let l be (24\/(-3))\/q - 8. Let j be (1 - (-8)\/(-3))*l. Calculate the highest common divisor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 1. Let v(n) = -4*n - 6. Let h(j) = -v(j) - 5*y(j). Let q be h(-4). Solve 0*b + q*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.05627 to 1 dp.\nAnswer: -28.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssvvsvvvsv. Give prob of sequence vvsv.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -821*w - 338*w - 169*w.\nAnswer: -1328*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d + 0 + 2*d**2 - 1\/2*d**3. Let q(v) = -v. Let x(o) = 6*q(o) - r(o). Differentiate x(m) with respect to m.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.678 to the nearest integer.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*m - 36 = -6*i - 30*m, 22 = -5*i + m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2540.7 + -2734. What is the third smallest value in 5, 2\/11, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7064, 13523, 19982?\n\"Answer: 6459*z + 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b - b**4 + 2*b**4 + 2*b + 45*b**4 - 80*b**4 + 41*b**4 + 4*b**2 + 2 - 2 - 2*b**4 + (-4*b + 4*b + 2*b)*(2*b**3 + 2*b - 2*b) + 3*b**4 - 2*b**4 + 6*b**4.\nAnswer: 16*b**4 + 4*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -289 or -4393?\nAnswer: -4393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s - 168*s**3 + 3*s + 163*s**3 + (-2*s**2 + 2*s**2 - 2*s**2)*(16*s + 12*s - 6*s).\nAnswer: -49*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6715, -5, 0 in decreasing order.\nAnswer: 0, -5, -6715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 2*i**2 - i. Suppose z + 6 = 3*h, 5*z + 0*h = 3*h + 6. Let o be m(z). Calculate the greatest common factor of 24 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*t**3 - 12*t**3 - 14*t**3 - 91*t**3.\nAnswer: -162*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u + 2*u**4 - 5*u + (-2*u**3 + 6*u**3 - 2*u**3)*(0*u - 2*u + 0*u) - u**4 - 3*u**4 + 2*u**4 + (-27 + 73 + 84)*(u**4 - u**4 - 2*u**4).\nAnswer: -264*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 y when three letters picked without replacement from {y: 4, p: 5, d: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 4*d + 213, 2*s + 3*s - 5*d = 390. Suppose -3*h = -0*h - s. Let c(v) = -13*v**3. What is the remainder when h is divided by c(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3 + 4*f**2 + 4*f + f**3 - f - f**3 + f**3. Calculate the remainder when 3 is divided by t(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 0*k**2 + 0 + 0*k**5 + 0*k**6 + 1\/6*k**7 + 0*k**4 + 10\/3*k**3 + 10*k. Find the second derivative of t(v) wrt v.\nAnswer: 140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104960 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1419 = 16*k - 1435. Let q = 442 - 1027. Let a = 13453\/23 + q. Sort 1\/2, a, k in decreasing order.\nAnswer: k, 1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x - 4. Let r be (-26)\/169 + (-10)\/(-65). Suppose r = 3*l - l - 3*m - 6, l + 5*m = 3. What is h(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117433706 to the nearest integer?\nAnswer: 10837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58877?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-20*y - 30*y + 10*y) - 5 + 5 + 2*y.\nAnswer: -38*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.1 - -0.1. Let l = -5 - y. Let v = -4 + 3. Which is the nearest to v? (a) l (b) -1\/9 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 i, 1 q, and 1 s when four letters picked without replacement from iqiiqiissimm?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + w - 6. Let c be n(-4). Let q be -3*1\/c*0. Suppose q*z**2 + 0 + 1\/2*z**3 - 1\/2*z = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2855.981 - -2854. Round l to one decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 46 = 3*l - 7*l, 3*l = 5*f - 18. Put f, -3, 0 in decreasing order.\nAnswer: f, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 837 (base 10) in base 7?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1596 - -1513.1. Let n = 83 + h. Let u = -4 + 1. Sort u, n, -0.4 in descending order.\nAnswer: n, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19970436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2246 is divided by 745?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5782 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*j + 32, 4*j + b + 40 + 51 = 0. Is -22 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**4\/3 + 113*x**3\/3 - 689*x**2\/3 - 1478*x\/3 - 224 = 0. What is x?\nAnswer: -1, -3\/4, 14, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10*((-24)\/15)\/(-4). What is the tens digit of 37 + z + -4 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 190 = 20. Suppose 0 = 28*b - r*b + 52. What is the remainder when b is divided by ((-14)\/(-8) + 0)*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4168 times 0.3\nAnswer: 1250.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 + 2*c + 11. Let m be j(8). Suppose 0 = -4*q - 3*g - g - 456, -2*q + g - m = 0. List the prime factors of (-2)\/8 - q\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5406, 10776, 16146, 21516, 26886?\n\"Answer: 5370*f + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8419110738.\nAnswer: 2, 3, 53, 79, 139, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 2*v. Let b(g) be the second derivative of g**4\/24 - 2*g**2 + 4*g. Let c(o) be the first derivative of b(o). Give -4*c(a) + r(a).\nAnswer: 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/6*(-76)\/(-266). Let j(m) = 2*m**3 - 5*m**2 + 3*m. Let z(c) = c**3 + c**2 - c. Give q*j(t) + 5*z(t).\nAnswer: 7*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20186908 divided by 20186908?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.94? (a) -1 (b) -3 (c) 73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 734 - 732. Let y be (32 - 52)\/(-1*h). Let n(p) = p**3 - 9*p**2 - 15*p - 19. Let g(m) = -m - 1. Let i(q) = -6*g(q) + n(q). What is i(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + l + 10. Let p = -14 - -20. Solve p*j - l*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q. Let k(b) = 46915*b - 12. Give k(c(x)).\nAnswer: 234575*x - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 87 - (-280 - -340)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 0*b**6 + 0*b**4 + 0*b**2 - b**3 + 11 - 3\/7*b**7 - 7\/5*b**5 + 0*b. Find the third derivative of c(h) wrt h.\nAnswer: -360*h**3 - 168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23 - 35 + 23)*(637*m - 812*m - 2 + 4) to a + t*m and give t.\nAnswer: -1925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4586 is divided by 1515.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 1343899908?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2631)\/1754*-2*1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -828 - -836. Let w(d) = -23*d - 1. Let y be w(-4). Suppose 0 = -p*j - 5*j + y. Calculate the greatest common factor of j and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + (0 - -9) + 53 + -52 - 6) + -62.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**3 + 13*w**2 - 23*w + 14. Give q(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 27*p**2 - 50*p + 33. Let s be g(-25). Suppose -s*c + 6940 = -23*c. What are the prime factors of c?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1409, 1407, 1405, 1403, 1401, 1399?\nAnswer: 1397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m - 22*m - 2*t = 14, -5*m - 26 = -2*t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(5\/(-1)) + (105 - -2). Let j(w) = -2*w**3 + 5*w**2 - 4*w + 2. Let o be j(4). Let r = i + o. Is 22 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -4\/9 (c) -37 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -857 = -102*z + 32191. What is the highest common divisor of 204 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from {g: 4, e: 2, k: 1, b: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -999176, -1998373, -2997618, -3996935, -4996348, -5995881?\nAnswer: -6995558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - f = 2*k - 5, k + 4*f = 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -51*u. Let y(n) = -943*n. Calculate 92*l(d) - 5*y(d).\nAnswer: 23*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 52699.12 micrograms in nanograms?\nAnswer: 52699120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2. Let o(f) be the third derivative of 11*f**8\/20160 - 7*f**5\/60 - 3*f**2. Let i(c) be the third derivative of o(c). Calculate h(i(n)).\nAnswer: -121*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -777\/2 + 376. Suppose 0 = 2*g - 6*g - 8, 4*d = -3*g - 10. Calculate the common denominator of l and d\/(5\/31) + -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 10*g**2 + g + 10. Let p be a(-11). Let h = 319 - 319. Suppose h = -z - p + 80. Is -41 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5035\/110770 + (-2730)\/44?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*((-56)\/6512 - (-34)\/629).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -934*y**6 - 1226*y**6 + 2451*y**6 - 246*y**2 wrt y.\nAnswer: 34920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, t: 6, m: 3, u: 3}. What is prob of sequence uq?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqnnnqnqqnnqqqn. Give prob of picking 2 q and 2 n.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1. Let i = -4 - q. Let v(p) = 7*p**3 - 147*p**2 - 4*p + 87. Let y be v(21). Put i, -5, y in decreasing order.\nAnswer: y, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 6*r**2 - 2*r + 9. Let y be a(-6). Suppose d = -2*d + y. What is the second derivative of -8*l - 4*l**2 + 7*l**2 + d*l**2 wrt l?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6222176, -6222143, -6222088, -6222011, -6221912, -6221791, -6221648?\n\"Answer: 11*q**2 - 6222187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 334*n**7\/105 + n**5\/60 + 223*n**3\/6 - 20*n**2 - 7. Find the first derivative of s(x) wrt x.\nAnswer: 2672*x**3 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/8)\/((-1)\/(-2)). Suppose 2*v + 6*d - 8*d = -28, 2*v + 3*d + 28 = 0. Let k be (-2)\/v - 11\/28. Which is the nearest to k? (a) 4 (b) 1\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.0304 - 0.0504. Let p = -0.08 + 0.1. Let t = p + s. What is the smallest value in t, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**2 + 15*h + 4. Let l be j(5). Let o(c) = c + 3. Give o(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*j - 69*j - 222204 = -545779. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 10 = -0*l. Suppose -l*d - 106 = -40. Let o = 1 - d. What is the smallest common multiple of o and 22?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12071 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = -y + 6*d + 511, 5*d = -3*y + 1535. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*18\/8.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*sqrt(147).\nAnswer: 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446*t = 487*t + 501 + 155 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 85 and 340?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 13 = -5*x. Let u = -0.427 + 26.227. Let p = 31.8 - u. Is x at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-45))\/(11\/(-5)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -22. Let m(z) = -16*z**3 + z**2 - 3*z + 2. Let b be m(3). What is the common denominator of (-2)\/u*b\/4 and 15\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29136*k = 29118*k + f - 1498, 5*k + 423 = 2*f for k.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ce + -4?\nAnswer: ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(132) + 5*1*sqrt(132) - 3*-1*sqrt(132))\/(sqrt(108)*3 - (sqrt(36)\/sqrt(3)*1 - sqrt(12))))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -114 + 122. Suppose 0 = h*o + 361 + 255. Let z = o + 79. Solve -z*l - 2*n = 20, -2*l + 0*l - 3*n = 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 v when three letters picked without replacement from {u: 3, v: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 2*z - 12, 633*z + 6 = 636*z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 9:12 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 75527 and 712?\nAnswer: 53775224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -373104*q**4 + 529*q**2 - 27*q - 4.\nAnswer: -8954496*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78701083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.4864436ns in weeks?\nAnswer: 0.000000000000195910125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/207760 and -109\/60760.\nAnswer: 6440560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -3\/2*u**4 + 7 + 10\/3*u**3 - u**2 - 2*u. Solve i(p) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 + 0*t**2 + 0*t**2 + (1 - 1 - 2)*(t**3 + 0*t**3 + 0*t**3) + 4*t**3 + 8*t - 8*t.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 2c15cc4?\nAnswer: 2c15cbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 156? (a) -5 (b) 1 (c) -2\/31 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42232?\nAnswer: 2, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 32*s - 174. Let l be o(-7). What is the smallest value in 0.2, -4, l, 1\/16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40129, -40130, -40131?\nAnswer: -40132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004473289029 rounded to six decimal places?\nAnswer: -0.000447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/10 - (-630)\/50. Calculate the highest common divisor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -259 - -269 - (-4 + 1 + -2 + 5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.87 take away 3177701.17662?\nAnswer: -3177702.04662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 611.997 litres?\nAnswer: 611997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -2, 2\/29, -1\/5?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*c + 7*c + 40. Suppose -3*o + 13 = 2*l, -16 = -c*l + 3*l - 2*o. Let s be (-9)\/l*8\/(-12). Solve 0 = j + j - s*f - 11, -5 = 5*f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-12))**10 assuming t is positive.\nAnswer: t**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -13, 5, -0.04, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 10 = -4*k. Suppose 4*q + 5 - 1 = -g, 5*g + 20 = -q. Suppose 0 = 2*b - 6. Sort q, k, b in descending order.\nAnswer: b, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 2. What is the greatest common factor of p and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 4*t - 32, -3*b = 4*t + t - 27. Suppose t*z + 5530 = 5*z. Suppose -311 = 6*q - z. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 - 22. Suppose -2*d - 5*o = -o + 12, 24 = 2*d - 5*o. Suppose -3*n = k + 6, d*k + 3*n + 1 + 2 = 0. Solve k*c - m = 5*j, -4*c = 3*j - c - 9 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.053709404 from -23147.\nAnswer: -23146.946290596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362670.\nAnswer: 2, 3, 5, 7, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - (-61 + 64)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*i - 8 + 168, -3*i + 4*z = -161. Suppose -140 = -19*n + 5*n. What is the highest common divisor of n and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*74.74.\nAnswer: -74.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 159*f. Let v(j) = 103*j. Determine v(p(t)).\nAnswer: 16377*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 79 (c) -4.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -2, -941, 10 in descending order.\nAnswer: 10, -2, -3, -4, -941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.081 - -31.919. Let b = 31 - k. What is the nearest to 0 in b, -2\/11, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.055, 0, -4, 5\/3, -21, -3?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4987.1 to the nearest ten.\nAnswer: 4990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86 or -132?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2. Let o(d) = -d**2 - 87*d - 1. Let n(z) = -3*z**2 - 203*z - 2. Let w(y) = -3*n(y) + 7*o(y). Give j(w(p)).\nAnswer: -4*p**4 + 4*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 2 + 118. Let y be 0 - 269\/(-30) - 0. Let o = y + -7\/15. What is the common denominator of o and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.936 - 3.016. Which is the second smallest value? (a) 27 (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 13 + 23 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 2. Let y be v(0). Let j(x) = -x**2 + x + 0*x**2 + 0*x**y - 12*x - 9. Let a be j(-9). Solve 3*s - a = -0, 5*s = -p + 16 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14769512 is divided by 4923157.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3386 + 3386 + 258*q + (q + 2*q - q)*(2 - 1 - 3) + 1 - 1 - q + 3*q - 5*q + 0*q - 2*q + q + 2*q - 1 - q + 1 + q + q + 0*q + 0 - q + 0.\nAnswer: 252*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.8 - -5.8. Let l = 22.68 - 23. Let h = l - 0.68. What is the closest to h in j, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*x - 2*x - 4170 = 26*x + 1080 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1085 - 406. Let t = 678.61 - o. Sort -2\/7, -5, t, -1\/8 in increasing order.\nAnswer: -5, t, -2\/7, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4194192718 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 2*s + 2. Let z be l(3). Suppose 8 = 2*p - 0*p. Solve -15 = -p*x + z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 - 57. Calculate the lowest common multiple of 83 and k.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-117)\/(-36) - (-2)\/(-8). Suppose 6*r - y*r - 642 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -3 (c) 66\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 312 - 246. Suppose g = x + l, 4*g - 328 = -g + 4*x. Calculate the remainder when 122 is divided by g.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*g + 35381 + 34657. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (42\/70)\/((-1)\/(-5)). Suppose 4 = -4*b - 0, -4*q + 649 = f*b. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63840.\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -4. Let f be -3*(35\/12 + l). Let d = -0.02 + -3.98. What is the closest to f in d, 1\/2, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-42)\/(-4))\/(81\/1080) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + -4*(-1 + sqrt(242) + sqrt(242) - sqrt(242))**2 + 0.\nAnswer: -972 + 99*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -60*(-3477)\/3420*-1\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3647 + 7050. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6335607 and 28823?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 10, -4, 41, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 425*d**2 + 41128*d + 1097. What is o(-276)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33397 to the power of 1\/2, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 2*s**2 - s - 1. Let w be y(-4). Let r(m) = -2*m + 2. Let g be r(-6). Calculate the greatest common divisor of g and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 25 - 4 = 0. Suppose 5*m = 5*w - 205, 2*m - 24 = -w + y. What is the remainder when w is divided by (-92)\/(-6) + 14\/21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(1 - (4 - -1)). Suppose 3*x + 2*x - 10 = n. Solve -x*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-2 - -22) + (1208 - 1154) + (1 - -1).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 85*b - 3. Let g be w(6). Suppose 0 = 4*q + g + 957. Let r = q + 3006. Round r to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 21123*y - 3 - 24504*y as q + w*y and give w.\nAnswer: -3381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 0, -70 in descending order.\nAnswer: 5, 3, 0, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 240*q**2 + 900*q - 880.\nAnswer: 5*(q - 44)*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 1471. Let x(q) = -5*q + 67. Give k(x(f)).\nAnswer: -25*f**2 + 670*f - 3018","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 390665903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000041092405 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21*2\/12*4\/14. Let w be ((-4416)\/690)\/(0 - p\/30). What is the highest common divisor of w and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -219\/542 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 1052\/769 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 7. Suppose 0 = 2*z + 5*g + 39, g - 4 = 3*z + 12. Let p be l(z). Solve p = -0*y + 4*y - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2797077, -5594214, -8391351, -11188488, -13985625, -16782762?\n\"Answer: -2797137*h + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 4*y = -10*y + y. What is the closest to 2\/7 in 0.03, -17, y?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82501915 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/31835, -3, -10\/17, -0.4?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkmmmkk. What is prob of picking 1 m and 3 k?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 6*v**2 - 20*v - 35. Let z be g(9). What is the greatest common divisor of 294 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 4\/(-3)*(-78)\/16?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7aa (base 15) to base 7\nAnswer: 5026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*f - 7*f - 414530, 3*j - f = 621808. Suppose 5*x + 200730 = -j. What is x rounded to the nearest one thousand?\nAnswer: -82000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 92089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -14*p**2 + 26*p**2 - 5*p**2 - 29*p + 4 - 7. Let g(i) = -6*i**2 + 28*i + 2. Let y(q) = -3*g(q) - 2*n(q). What is the second derivative of y(z) wrt z?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.06 (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) - -1*sqrt(176))*2.\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -438225*u*x**3 - 2885*u*x**2 - 12*u wrt x.\nAnswer: -2629350*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**4 - 5*m**4 - 2*m**3 - 4 + 5*m**4 - m + 2*m to f*m**3 + v + i*m**2 + t*m + y*m**4 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (40\/56*(-6)\/10)\/(3874\/(-26075)*50)\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w**3 - w**3 - 2*w**3)*(-377*w - 45 + 2 + 47 - 659*w) to the form u*w**2 + p*w**4 + k*w**3 + g*w + i and give p.\nAnswer: 1036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -22*h + 6*h - 45 - 30*h. Let u(l) = l + 3. Let f(d) = -r(d) + 6*u(d). Differentiate f(m) with respect to m.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/9 and ((-150)\/112)\/(308\/(-98)).\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 392020 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 168 + -11. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 4, 458 in increasing order.\nAnswer: -2, -1, 4, 458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, b: 6, c: 7}. Give prob of picking 2 y.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*p**4*z + 2207751*p**4 + 3*p**3 + 24*p**2*z + 10898*p**2 - 3*p*z + 29 wrt p?\nAnswer: -192*p*z + 52986024*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/100 + 15 + 2598\/(-180). Factor 1\/6*a**2 + 2\/3*a - l*a**3 - 1\/6.\nAnswer: -(a - 1)*(a + 1)*(4*a - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 10*q**3 - 6*q**2 - 6. Let p(y) = 11*y**3 - 5*y**2 - 5. Give 5*j(w) - 6*p(w).\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4*j - 2, 0 = 3*j + 2 + 1. Which is the nearest to 3? (a) 2 (b) -0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + 25 + 10 + (-1 + 2 + 0)*(-2 + 2 - 2))*(0*g**2 + 3*g**2 + 14*g**2)*(0 + 0 - 2) to the form z*g**2 + b + p*g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-83)\/830)\/(-1 + (-5)\/(-4)). Let o(g) = g**2 + 1. Let w be o(-2). Which is the smallest value? (a) w (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 0 + 1 + 1 + l + 5*l. Suppose z - 12 = -3*z. What is the units digit of b(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 2, -3*f - 2*g - 345 = 347 - 711 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 16 = 4, -n - 12 = 4*a. Is 18 a factor of (a\/3)\/((-4)\/138) + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + -0.9. What is the closest to v in 0.5, -2\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.2 (c) 4\/5 (d) -1\/4 (e) 2126 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(5) + sqrt(270)\/sqrt(6))**2 + (-2 + sqrt(605)*-2*-3)**2.\nAnswer: -264*sqrt(5) + 22189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3172, 2965, 2724, 2449, 2140, 1797, 1420?\n\"Answer: -17*q**2 - 156*q + 3345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/448*4*(-6)\/(-9)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 11:44 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -27. What is the derivative of 9*m + m - m - j + 3*m wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 - 88 + 73)*(13 - 11*s + 2*s + 8*s).\nAnswer: -57*s + 741","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -494, -3, -4, -2, 1.\nAnswer: -494, -4, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from {e: 2, h: 2, n: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3210 + 3209.7. Which is the closest to 2? (a) 2\/9 (b) -3 (c) z (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66053971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (15 - 23 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16072804?\nAnswer: 2, 11, 365291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 251671 - 1248403. Let k = -14186 - p. Suppose 5*h - 2*b + b - k = 0, -2*h + b = -93997. Round h to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5812 - 1637. What are the prime factors of l?\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396) + sqrt(396)*1)*-5*-2)\/(sqrt(1296) + (-2*sqrt(1296)*-2 - sqrt(1296)) + sqrt(1296)))**2.\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 2*z - 40 + 3 = 0, -40 = 4*c + z for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**5 + 68*l**4 - 124*l**3 + 60*l**2 = 0 for l.\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4692873*n**3 + 91475*n**2 - 4.\nAnswer: -28157238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 178660866 to the power of 1\/3, to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46.77 - -47. Let v = n - 0.03. Which is the nearest to -2\/7? (a) -0.1 (b) v (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 5*p**2 + p - 1. Let l be m(5). Let y be (14\/8)\/(2\/(4 - -4)). Let i = y + l. What is the remainder when 20 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -10100100?\nAnswer: -10100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 + 68 + (-5 - (17 - (20 - 6)))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -148 + 98. Let h = 68 + f. Suppose 5*t - 63 = -13. Calculate the remainder when h is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2\/3 + 13*r.\nAnswer: r*(5*r + 39)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216947*j - 216912*j + 315 = 0 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77 and 85764?\nAnswer: 943404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least 1333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -3*w**3\/2 - 13*w**2 + 10*w + 89. Suppose -1 = 4*z + 19. What is the units digit of p(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, d: 2, z: 1, x: 6}. Give prob of sequence xdp.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24107, 24555, 25013, 25487, 25983?\nAnswer: 26507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*-3*3)\/(sqrt(300)*6 - sqrt(12)).\nAnswer: -9*sqrt(13)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*u = 125. Is 40 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180909209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 3 - 203236*u**3 + 3 - u + 203790*u**3.\nAnswer: 554*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-9)*(-54)\/(-15). Suppose 3*o - 24 = -z. Let m be (-63)\/(-27) + 4\/o. Which is the nearest to 0.5? (a) 1 (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*d - 16*r + 17*r, 0 = -d + 4*r - 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57\/4 + -22. Let v = -108447\/4 + 27108. What is the common denominator of s and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/20)\/((-24)\/180))\/3.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1228924?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(6\/5)*z))\/(z\/((z\/z**(-12))\/z))*z**2\/(z**(-1\/5)\/z))**(-1\/8) assuming z is positive.\nAnswer: z**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 11*f**4\/4 - f**3\/3 - f**2\/2 + 2*f - 4. Let w be k(1). Solve -9 = -4*l + w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = -0*s - 2*s. Let j = s - 571\/5. Which is the third smallest value? (a) j (b) -0.1 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**3\/3 + 23*c**2\/3 + 14*c\/3 - 5\/3 = 0. What is c?\nAnswer: -5, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 60 - (42 + -34 + 142)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -137142, -274281, -411420, -548559?\n\"Answer: -137139*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 34. Let v be (-2 - (-18)\/g) + (-13)\/(-2). Is (6\/(-9) - 0)\/(v\/(-2367)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**2 - 7*m - 6. Let f(i) = 23*i**2 + 41*i + 35. Let o(k) = 6*f(k) + 34*p(k). Let b(q) = q**3 - 3*q**2 - 5*q - 1. Let a be b(4). Calculate o(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0030503725 to 6 decimal places.\nAnswer: 0.00305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40900 is divided by 6802?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 2375?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2383, -4829, -7289, -9769, -12275, -14813, -17389?\nAnswer: -20009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-2))\/(36\/(-96)). Suppose -2*x = -l*x + 48. Suppose 2*k + 4 = x. Solve w + 0*w + k = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28543 + 4?\nAnswer: 28547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 + 1 - -1) + 2. Let x be (0\/y)\/(-2) + 2. Suppose f + 5*n - 11 = x*f, -f - 2*n = -10. Solve -3*u - t + 17 = 0, f*u - 11 = t - 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 divided by -9893161?\nAnswer: 86\/9893161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -302201322 - -133?\nAnswer: -302201123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 5*r**2 + 2*r - 4. Let t be n(-4). Suppose 0 = -u + 2 - 1. Solve -u = b - 2, b - 17 = -t*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5020*y + 1 - 10035*y + 5014*y. Suppose 0*j - 5*j - 20 = 0. Give u(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*f = v, 0 = -3*v + 5*f. Which is bigger: -2\/97 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-7 - (-6 + -8 + 11)) - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 106539*j*m - 76598*m wrt j?\nAnswer: 106539*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -111*n + 1. Let d = -10 + 8. Is q(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.36 in 4\/5, -4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -41*(4\/14)\/((-48)\/336). Let g(d) = -10*d - 5. Let i be g(7). Let l = v + i. Solve -l*o = -10*o + 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*y**5 - 13*y**5 - 9*y**5 + (-7*y**4 - y**4 - y**4)*(-4*y + 0*y + 6*y).\nAnswer: -31*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -5 (c) 2 (d) 1535 (e) -0.08 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55 - (-14 + -27 + 23)) + -29.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4556581 is divided by 4489?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189 and 2079?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1704 and 15384?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 198238 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 633, 2735, 8439, 19545, 37853, 65163, 103275, 153989?\n\"Answer: 300*m**3 + m**2 - m + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (6 - (-1 - 0) - (31 + -15))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/7))**(2\/87))**(-46) assuming c is positive.\nAnswer: c**(-184\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = -4*v - h, -5 = -v + h. Suppose 3*r - 2*d + 50 = -r, 0 = -3*r - v*d - 15. Let k be ((140\/25)\/(-7))\/(2\/r). Solve 2*w + 10 = k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0 (c) 143 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -q + 4*q. Suppose -3*f + 11 = 2. Suppose 73 = 2*c + v - 2*v, f*v + q = c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26518 rounded to the nearest 100?\nAnswer: -26500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -11*d**2 - 6*d + 5. Let w(y) = 12*y**2 + 7*y - 7. What is -5*v(j) - 4*w(j)?\nAnswer: 7*j**2 + 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*u + 33, -4*h - 4*u = -5*h + 24. Solve 4\/7*z + 18\/7*z**h - 18\/7*z**2 - 4\/7*z**3 + 0 = 0 for z.\nAnswer: -1, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.82 - -0.18. Which is the third smallest value? (a) w (b) -1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/6)\/(-22 - (-21223)\/969)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 2071*k**6\/3 - 1747*k**3 - 1443. What is the third derivative of s(n) wrt n?\nAnswer: 248520*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15971 > -223599\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -39) + (0 - (4 - 1) - (-143 + 151))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 854 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2755, 5618, 8527, 11506, 14579, 17770, 21103?\n\"Answer: 4*o**3 - o**2 + 2838*o - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from connbcnnnnnb. What is prob of sequence oc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 4:16 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 8301*s**3 - 31 + 51.\nAnswer: 8301*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14731960 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1493 + 1492.9. Which is the nearest to -2\/3? (a) 0.4 (b) x (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**6\/16 - 27*b**5\/40 + 39*b**4\/32 + 9*b**3\/8 - 21*b**2\/8 - 1146. What is k in d(k) = 0?\nAnswer: -1, 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50210 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1713 is divided by 123?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60471 divided by -20157.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*q + 351 + 302 = 0, -608 = -4*w + 4*q. Calculate the remainder when w is divided by (-12)\/(-126) - (-836)\/42.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9581782*f**3*r + f**2*r**2 + 3*f*r**2 - f - 408284*r - 2 wrt f.\nAnswer: -57490692*f*r + 2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 10. What is the closest to 0.1 in z, 0.3, 9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 411307 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89640006*z**3 + 39124133*z**2 + 2 wrt z?\nAnswer: -537840036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 154\/5*b - 34\/5*b**3 + 118\/5*b**2 + 0 + 2\/5*b**4.\nAnswer: 2*b*(b - 11)*(b - 7)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 353098 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11111111012 + 101?\nAnswer: -11111110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -98 - (-14)\/12*-6. Is c at most as big as -105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.1, -76, 332\/3 in ascending order.\nAnswer: -76, 0.1, 4, 332\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 1282*y + 19. Let j be z(-5). Let v = j + 13170. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 8 = -22. Let g = -9 + 2. Is i > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 881763 by -293921.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + x + 3, 6*m - 3*m - 4*x = 12. Suppose m = 13*l - 18*l. Suppose 10 = -2*o, y - 2*o + 0*o - 28 = l. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 6:32 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 7*s**2 + 5*s - 2. Let z be n(7). Let i = 17 + z. Suppose 11*c - i = 6*c. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -14. Let l be 39\/(-18) + 2\/i. Suppose -2*j + 5*h = 2, -5*j + h - 32 = 2*h. Sort l, 3, j in descending order.\nAnswer: 3, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/(-1040)*(-530)\/8. Let q = t + -20\/13. What is the smallest value in -1, -4, 3, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 + 53 + 9*u)*(-3*u**2 + 0*u**2 + 4*u**2) + 7*u**3 - 2599*u**2 + 2599*u**2.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 3:45 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 212540446.0000051 + -212540747. Let o = k + 301. Round o to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36697148 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3194261878 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 5821*k**2 + 12711*k - 5491. What is the derivative of d(c) wrt c?\nAnswer: 11642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9317 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -164*r**5 - 3*r**2\/2 - 18*r + 794. Find the second derivative of n(i) wrt i.\nAnswer: -9840*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, d: 1, g: 2, o: 5, k: 1}. Give prob of sequence ogo.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -209 - -1883\/9. Suppose -4*w = z + 2 - 69, -4*w + 256 = 4*z. Let t be 1050\/z*(5 - 2). Which is the third smallest value? (a) x (b) t (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 32. Let s = 0.2 + 0. Suppose -d + 4 = -0. What is the nearest to 0.1 in d, s, z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.7 times 201\nAnswer: -2954.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(343) + sqrt(343) + sqrt(343) + (sqrt(343) + -4*sqrt(343))*-2)*-4 - 1*((3 + sqrt(343))*4 - sqrt(343))))**2 + 2.\nAnswer: 104832*sqrt(7) + 8349554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = 5*k + 2*j + 125, 4*j = 6*k + 22 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.27358602 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**5*h\/(h**(-14)*h)*h)\/((h**(-2\/9)\/h)\/h)**(1\/3))**(-1\/5))**10 assuming h is positive.\nAnswer: h**(-1174\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/15 - ((-268)\/6 + -2). What is the derivative of -43*m**2 - 126 - 28*m**4 + 44*m**2 - g wrt m?\nAnswer: -112*m**3 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-246)\/1107)\/(4\/(-954)))\/(-1).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 12*c - 2. Give p(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(76)*2*-6*5)**2.\nAnswer: 273605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hbh when three letters picked without replacement from {b: 3, h: 13}.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2 - 0. Suppose -7 = u*r + 3. Let m be (-1)\/r - 72\/(-15). Calculate the greatest common factor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/267858 and 31\/20772.\nAnswer: 309108132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/49 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2 + 2*o. Let x(u) = -u**2 - 5*u. Let i be x(-4). Suppose 2*p + i + 0 = 0. Determine y(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/207 and 8 + (-2 - ((-1326)\/81)\/(-2)).\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 564641 is divided by 8555.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3627.42 decades to centuries.\nAnswer: 362.742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)*p)**(-13)*p**6\/p*p**(2\/3) assuming p is positive.\nAnswer: p**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 < -1.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 11*t**2 - 11*t - 10. Let x be v(12). Let i(f) = 3*f**2 - 7*f + f**x - 23 + 21 + f**3. What is i(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, v: 3, i: 6, g: 3}. What is prob of sequence viig?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 2943770.\nAnswer: 14718850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.65 + -3.35. Which is the second smallest value? (a) 3\/8 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4954460.\nAnswer: 2, 5, 7, 43, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 2*w**3\/63 + 409*w**2\/21 + 2119. Find x such that i(x) = 0.\nAnswer: -409, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*g - 92, -3*u = g - 0*u - 51. Let h = g - 25. Let t = h - 3. Solve -5*a + v = -t, 5*v = a - 21 + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (2 + 4)) + 42 + -37\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*f = -255. Let q(x) = -2*x**3 - 28*x**2 + 35*x + 48. Let z be q(-15). Let d = f + z. Calculate the highest common factor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 115.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 991*d - 525*d - 526*d.\nAnswer: -60*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Suppose o*j = 2, 0 = 3*x - j + 1 - 0. Solve -4*b + 20 = -x*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 9*x - 23)*(-1 - x + 1) + 3*x**2 - 5*x**2 + 4*x**2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -31*h + 594. What is s(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4 + 7\/(-4). Let x = 34.4 - -37.2. Let m = x - 72. Which is the third biggest value? (a) h (b) -5 (c) 3\/8 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.0351 - 0.0351. Which is the second smallest value? (a) -1\/2 (b) -2\/23 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(-190)*(-10)\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u**3 - 3*u**2 - 3*u + 6. Let m(d) = d**2 - 15*d + 38. Let q be m(12). List the prime factors of f(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1155319.\nAnswer: 11, 127, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (634\/1585)\/(-1 + (-12)\/(-45)*21)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1744)\/(-10682))\/((-36)\/(-90)*(-4)\/(-42))?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0669789659 rounded to 6 dps?\nAnswer: 0.066979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from wwwwilwyyilwwwydilww?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2316, -11, -1, 4, 8 in decreasing order.\nAnswer: 8, 4, -1, -11, -2316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4592368 = 53*n + 112*n + 11*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14936766.15 and -5.\nAnswer: 74683830.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -7\/353, -3?\nAnswer: -7\/353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -150730\/53 + 2844. Let j = -0.96 + -0.04. Which is the closest to j? (a) -5 (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463445 is divided by 3921.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + -7 + -24 + 40?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 10) in base 7?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/1878 (b) 20\/11 (c) -1\/100 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3196 + 10.6804. Which is the nearest to v? (a) -0.3 (b) 0.1 (c) -0.1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2. Let k(a) = -a. Let w(i) = -i**3 + i**2 + 2*i + 1. Let s be w(-1). Let g(n) = -n. Let b(r) = s*k(r) - 2*g(r). Determine b(y(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {c: 6, d: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i. Let z be (0 + 0 - (41 + -38)) + 9. Let f(j) = 2*j + 1. Let b(r) = -r - 1. Let u(p) = b(p) + f(p). Determine z*u(v) + g(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3121, -25127, -84817, -201031, -392609, -678391?\nAnswer: -1077217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*r - 5*x + 37, -25 = -5*x. Suppose 6*l + 13 = 49. Suppose 0 = -c + l*c - 10. Solve -4*w + r = c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3023*j**3*v - 1962*j**3 + 2*j**2*v - v**4 wrt v.\nAnswer: 3023*j**3 + 2*j**2 - 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*i + 5*p + 38, 5*i - 5*p = 70. Suppose -154 = -4*r + 4*a + 30, 0 = 4*a + i. What is the lowest common multiple of 120 and r?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -593805044*c**5 + 203483506*c**2 wrt c.\nAnswer: -35628302640*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 484610 and 6440.\nAnswer: 1938440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 6*f**2 - 9*f - 1. Let u be z(7). Let p be (1 - -8)*(-50)\/u. Solve -3*d - 5*n + 7 = -p, d - 29 = -5*n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*m - 1434 = -282*m + 1863 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, f: 7, w: 1, m: 7, o: 3}. Give prob of sequence kkmo.\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -1 - (-82 + (53 - -42))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -37*z**4\/8 - 65*z**3\/3 - 3*z**2 + 3*z. Find the first derivative of q(n) wrt n.\nAnswer: -111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 35*v + 1. Let f(d) = 2*d**2 - 6*d**2 - 7*d**2 + 9*d**2 - 3*d**2. What is f(m(y))?\nAnswer: -6125*y**2 - 350*y - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*d - 12*d - 84189. List the prime factors of d.\nAnswer: 3, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4359 + -4362. What is the nearest to -2\/7 in b, 17, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*j**2 + 29*j**3 - 148*j**2.\nAnswer: 29*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(3\/5)*d*d**12)\/(d*d**(-8\/13))**(-17))**(-6) assuming d is positive.\nAnswer: d**(-8244\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 4*k = 4*j + 675, -5*k + 206 = j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 6*t**2 - 559*t - 154. Give r(27).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-1)\/k*k))\/k)**(-32)\/(k**(2\/3)\/(k*k*k**2))*((k**(-1)\/k)\/(k\/(k*(k\/k**(-6))\/k)))\/(((k*k\/(k\/k**(-3))*k)\/k)\/k**(-5)) assuming k is positive.\nAnswer: k**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 13 - 7 = -4*t, t - q - 5 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*a*n**2*q*t + 4*a - 3*n**2*q*t + 3*n**2*t**2 + 2*n*q - 2*n*t**2 - 3*t**2 wrt n.\nAnswer: -40*a*q*t - 6*q*t + 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142433 = 5*n - 3*p, -5*n = 452*p - 449*p - 142457. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69 - -60. What is the remainder when 4\/(-8) + 53\/2 is divided by (48\/n)\/(4\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001141655264 to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -43870 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -969 = -p - 3*r - 967, 2 = 2*p + 4*r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*y**2 - 2*y**3 + 57*y**2 - 20460*y - 118*y**2.\nAnswer: -2*y**3 + 2*y**2 - 20460*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*u + 5*u + i, 3*i + 14 = u. Suppose 0 = -2*g + u*g + g. Let 0*m**4 + g*m - 2\/7*m**5 + 0 + 2\/7*m**3 + 0*m**2 = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 + 17 - -8 - (-4 + 30 - -6)) + -9?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -68 (b) -2\/7 (c) 4 (d) 0.3 (e) 88 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 11:14 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 264\/(-165)*(-5)\/4. Solve 4*w - a = 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3dffc (base 16) in base 5?\nAnswer: 31111243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 6*d - 6. Suppose 15 = 3*h - 3. Let p(q) = -14*q**2 - 91*q - 91. Let m(c) = h*p(c) - 91*t(c). Let v(b) = -b. Give v(m(u)).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + -1 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*f + 2*k - 22 = 0, 0 = f + 2*k + 10. Let t = 24 + f. Calculate the common denominator of 1\/t*(-45)\/(-9) and 49\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (1647 - (-4 + 9))\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 9*h**2 + 3*h - 19 + 7 + 10. Let d(p) = -5*p**2 - 2*p + 1. Let q(f) = 2*f - 3. Let o be q(3). Calculate o*t(i) + 5*d(i).\nAnswer: 2*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (10 + 2 - (7 - -1)) + -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -224 - -333. Calculate the remainder when u is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6929*n**5 + 3368*n - 3.\nAnswer: 138580*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15493 = 26*f - 159. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.11 + -343.11. Let v = 333 + g. Which is the third smallest value? (a) -2\/5 (b) 5 (c) 0.9 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 6*a + 18*a + 104 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*v + 140*v = -188. Suppose 2*j + v = -2*j. Let y = j + 238. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)*-2*4 + sqrt(550)\/(sqrt(30)\/sqrt(3)))\/(3*sqrt(80)*-1).\nAnswer: 7*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2915332 + 1457668 - 2*i**2 + 1457664.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 5.97. Which is the second biggest value? (a) -5 (b) u (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*u - 4. Let j(l) = -2*l. Let t be j(u). Which is the biggest value? (a) t (b) 2\/7 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373*d**2 - 367*d**2 - 369*d**2 + 1543*d**2 - 12 - 432*d**2.\nAnswer: 2*d**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 11*k = 56 - 71 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 698*a + 22 = 696*a + 2*l, 0 = 3*a + 3*l - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 + 72.0000296. What is r rounded to 6 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9 - -9) + 12\/1. Let v = 27 - g. Let f(i) = i**3 - 16*i**2 + 16*i + 21. What is the tens digit of f(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0643*0.0588\nAnswer: 0.00378084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543 is divided by 41.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, b: 3, m: 2, t: 1, j: 7, n: 2}. Give prob of sequence mnjb.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2\/9 - 104*w\/9 + 184\/3 = 0. What is w?\nAnswer: 6, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 66943. Let m(g) = g**2. Give m(t(f)).\nAnswer: f**2 - 133886*f + 4481365249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*sqrt(432) + 0.\nAnswer: -1 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 218 + 3169.4.\nAnswer: 3387.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 321937931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/35? (a) 2\/15 (b) 0.2 (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -17*t**2. Let f(b) be the first derivative of 11*b**3\/3 + 7. What is -8*f(h) - 5*q(h)?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144)\/sqrt(3))\/sqrt(4))\/(sqrt(4) + sqrt(44)\/(sqrt(11)*-4)))**2.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 + -135. Let g(j) = -2*j**2 + 10*j - 7. Let h be g(6). Let m = h - x. What is the highest common factor of 184 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 232*m - 13456.\nAnswer: -(m + 116)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2280606*k**2 + 718441 wrt k?\nAnswer: 4561212*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b = 0. Suppose -13*r + 9*r + 12 = 0. Put b, -3, r in ascending order.\nAnswer: -3, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 816 and 7227176?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -786*i**3 + 1700*i**3 - 915*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -383 + 603. Suppose -2*p = 2, 0 = -4*y - 5*p - 25 + r. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 87290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 29. Give p(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 158465537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 15*c - 2416. Suppose 3*u = -3*t + 270, -5*u + 381 = -3*t - 61. Let s = c + u. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 l when two letters picked without replacement from {e: 10, o: 1, p: 3, l: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 100 = 2*d, 0 = -4*x - 89 + 101. What is the remainder when 205 is divided by d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2432 + 19*p**2 - 2311 - 21*p**2 + 4729.\nAnswer: -2*p**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, -1, 7.\nAnswer: -1, 0.07, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 49523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4468 + 428?\nAnswer: -4040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1023323 or 1023321?\nAnswer: 1023323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -208262, -208394, -208526?\n\"Answer: -132*z - 208130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -889239 (base 10) in base 4?\nAnswer: -3121012113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 272 and 15096?\nAnswer: 30192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 38*m**2 + 17*m + 92. Calculate the remainder when w(-4) is divided by 106.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 4 - (1 + -1 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -17. Let i = -147 - -146. Which is the closest to 2\/7? (a) i (b) g (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -11, 7, 25, 43, 61?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 27606397 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -5*l - 130. Let z(x) = x**3 + 3*x**2 - 5*x - 5. What is z(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6101.735 days to minutes.\nAnswer: 8786498.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (1 + 0)*-2. Let a = s + 0. Let w = a - 1. Round w to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -96*t**2 - 2. Let s(x) = -3*x - 11. Let l(z) = -2*z - 6. Let i(u) = -11*l(u) + 6*s(u). Calculate i(b(q)).\nAnswer: -384*q**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**3 + 3*s**2 + 0 + 5*s**3 - 2*s**3 + 2 + s to v*s**3 + u + z*s**2 + g*s and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 7 + 25. Let o = 6 + d. Suppose 0 = -o*y + 21795 + 3458205. What is y rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*o - 20, 0 = o + 4*l - 22 + 2. Suppose 0 = 2*w - o - 2. Suppose n = -3, -17 = -5*x + 2*n - w. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2613, -2610, -2607, -2604?\nAnswer: -2601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 3:34 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 2*n**2 - 5*n - 3. Let k be g(-3). Suppose k = 3*b - 0. Let m be 0\/(-1*2\/b). Solve m = x - 4 + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 31693.\nAnswer: 31689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/299910 and -47\/7167849.\nAnswer: 71678490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8387, -5722, 1515, 15610, 38849, 73518, 121903?\n\"Answer: 381*o**3 - 2*o - 8766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386253693?\nAnswer: 3, 7, 37, 165703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 48. Calculate the remainder when (v - 1) + 0 + -2 is divided by -5 - ((-186)\/16 + (-66)\/176).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 10*h**2 - 3*h. Let l be f(3). Suppose -g - 5*n = -0 - 7, 0 = 3*g - 5*n - l. Does 17 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -553065536*r**2 + r + 66038203.\nAnswer: -1106131072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 783, 1562, 2341?\n\"Answer: 779*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 341 + -5117\/15. Let q = t - -1\/20. Is q bigger than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*j = 0. Solve -3*w = -k - 14, 4*w + 5*k + 13 = -j*k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*c + 0*c - 37 = 0, 0 = -c - 1. What is the second derivative of -13*u + 8*u**4 + 13*u**4 + i*u**4 - 20*u**4 wrt u?\nAnswer: 168*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 15 = 3*w, -5*z + 2 + 3 = w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162777283?\nAnswer: 59, 2758937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 0*b**4 + 0 + 0*b - 11\/30*b**5 + 24*b**2 + 2\/3*b**3. What is the first derivative of t(j) wrt j?\nAnswer: -44*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 + 2875255317?\nAnswer: 2875255316.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbwhfbbb. Give prob of picking 1 f and 1 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4623*o - 3. Let a be y(1). Is (2\/(-3))\/(12\/a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**6*f\/(f\/f**(1\/4)))**21)**(6\/25) assuming f is positive.\nAnswer: f**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/1)\/(-6*6\/(-468)). Suppose -3*j - 3*q = 2*q - 46, -q = 3*j - i. Solve -j + 1 = -3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 62e - -5c762?\nAnswer: 5cd91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 502550 and 603060.\nAnswer: 3015300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/306 and 125\/522?\nAnswer: 8874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 623440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1748690 divided by 349738.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 494 divide 390767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1799*q - 1503*q + 1729*q + 117450 = 0 for q.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*i**2 + 0 + 4\/3*i.\nAnswer: -2*i*(i - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(60\/70) - -10. Put -112, u, 5 in descending order.\nAnswer: 5, u, -112","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a, -4*p - 3*a + 228 = -0*a. Let z(r) = -6*r - 30. Calculate the remainder when p is divided by z(-10).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47260, -89111, -130964, -172819, -214676, -256535?\nAnswer: -298396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 95\/21, -1\/6, -3, -1\/3 in decreasing order.\nAnswer: 95\/21, -1\/6, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 6:34 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*v - 4*v + 2*v)*(-2 - 1 + 2) - 4*v + 2*v + 4*v)*(8*v + 206 - 206).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 2*b. Let r be l(4). Let v = 7 + r. What is the units digit of (1*v)\/(10\/(-50))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**4 - k**3\/6 - k**2\/2 + 9*k. Let f be 0*((-21)\/9)\/7. Suppose 3*q - 6 = -v - 2*v, -5*v + 4*q - 17 = f. Give b(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8697 < -478296\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5271682021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 372 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 146 (c) -186 (d) -5\/79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91211686 to the nearest integer?\nAnswer: 9550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(52) - -1*sqrt(52) - sqrt(39)\/sqrt(3)*2) + -2)**2 - (-4*(sqrt(234)\/sqrt(2) + sqrt(78)\/(-1*sqrt(6))))**2).\nAnswer: 48*sqrt(13) + 4656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*o - 416 + 348 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(6\/4) - -1)*-11. Suppose n*y = y + 30. Solve 0 = 2*w + 4, -y*r - 8 - 5 = 2*w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5)**7 assuming n is positive.\nAnswer: n**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-58)\/(-667) - (-2714730)\/69?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.16, 0.7, -8, -29?\nAnswer: 2.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 5*k - 5 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 h, and 1 x when three letters picked without replacement from lhxlllhlllllll?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4456?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - (sqrt(108)*3*3 - sqrt(108)))\/(sqrt(36) + sqrt(72)\/sqrt(2) + sqrt(4)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 1956*n + 318828.\nAnswer: 3*(n + 326)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2920 and 6289826.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*d + 57*b = -203*b - 239, 0 = 2*d - 5*b + 9 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g + 5. Let f be x(3). Let q(o) = -f*o**2 - 4*o + 8*o**2 - 7*o. Let y(t) = -3*t**2 - 6*t. Let r = 29 - 18. Determine r*y(u) - 6*q(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 8:46 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/45 (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 7:27 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.51, 3, 403 in decreasing order.\nAnswer: 403, 3, 1.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3456 and 39936?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 33 and -83782821.9?\nAnswer: 83782854.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2666 is divided by 1297.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 4:46 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - 2059a3?\nAnswer: -2059a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -10570, -753 in descending order.\nAnswer: 15, -753, -10570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -27.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.57 - -0.43. Sort -0.1, k, -4.\nAnswer: -4, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 - 88. Calculate the greatest common divisor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 12:24 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 38*f - 35*f. Suppose -f*x - 230 + 68 = 0. Round x to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1*(4\/(-4))\/(-15).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, h: 1, i: 8, t: 7}. What is prob of sequence hit?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 + -1.25. Let c = 1.7 + x. Let g = c - 0.9. What is g rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 14. Suppose -2*m + 11 = -m - 3*u, 3*m = -5*u - 9. Solve -i = 5*a - l, -m*i = -i + 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8489839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-1 - 0) + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -0.7 (b) -5 (c) -4 (d) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from mmymyiimijmiymimmmmm.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -y + 2*t + 7, -3*y - 19 = -4*t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**3*t**2 + 2*i**3*t - 123*i**2*t**2 - 3*i**2*t + 75*i**2 - 2*i*t**2 wrt t?\nAnswer: -2*i**3 - 246*i**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5804 + -2.72767\nAnswer: -2.14727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**2 - 5*q - 2. Let j be t(4). Differentiate j - k**2 - 2 - 3 wrt k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37532461?\nAnswer: 47, 223, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101111110 - 110010100110001?\nAnswer: -111010010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2345843.\nAnswer: 2345843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3093884 less than or equal to -3093884?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7*k + 1. Let y(j) = -j**3 + 78*j**2 + 56*j + 1832. What is the remainder when u(-6) is divided by y(79)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 29. Suppose 5*v - 58 = d. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7*s. Let n be (-71)\/(-4)*(-2 - -42). Let m(f) = -710 + n - 3*f**2. Determine m(l(w)).\nAnswer: -147*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15919140 to the power of 1\/2, to the nearest integer?\nAnswer: 3990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1839*u**2 - 1847*u**2 + 5533*u**2 - 1845*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/4*(-3 - -11). Suppose 0 = 5*b - 7*b - 12. Let m = t - b. Put 2, m, 4 in ascending order.\nAnswer: m, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1956303275 divided by 20855\nAnswer: 93805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2397516 and 50512.\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5570.412 + -5570. What is c rounded to two decimal places?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44234609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/12)\/(60\/(-18)))\/((-6)\/84*-7)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28913 and 252387?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**6\/180 + a**4\/12 + a**3\/2 + 2*a. Let v(r) be the second derivative of b(r). Calculate v(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-50))\/((-6)\/(-9)*2871\/(-3190)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -48, -127, -236, -387, -592, -863?\n\"Answer: -2*q**3 - 3*q**2 - 56*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 + 32?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1495958.729 to the nearest one hundred.\nAnswer: -1496000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55745438 or -55745448?\nAnswer: -55745448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-9) + 6692\/63. Let s = k + -90. Suppose -2*z = 5*j - 74, 30 = 4*j + 4*z - 34. Calculate the lowest common multiple of s and j.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -22. Let l(c) = c**3 - 2*c**2 - 19. What is the hundreds digit of l(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2221 (base 5) to base 14\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 0.3, -161?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvp when three letters picked without replacement from ppppppvvvppvpvpvvpp?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/(-105))\/(4\/70))\/(1*-25)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 76005.7408?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11, -55, -137, -263, -439, -671, -965?\n\"Answer: -h**3 - 13*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1225 = -5*m + 5*u, -1240 = -5*m + 12*u - 10*u. Let i(s) = -504*s**2 + 230*s**2 + m*s**2. Let a(y) = 9*y. What is i(a(l))?\nAnswer: -1944*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 325787\/158940 + 2\/7947. Let k = 131\/37 + -505\/592. What is the common denominator of k and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 22491 and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 110.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-133)\/147 + (-5)\/(105\/9).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 - -67. Let x(j) = j**3 + 4*j**2 - 2*j + 1. Let s be x(-3). Calculate the greatest common factor of m and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10349 is divided by 225?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -65*k + 18. Let n(c) = 16*c - 5. Let o(m) = -26*n(m) - 6*q(m). List the prime factors of o(-2).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64967199457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5230a (base 12) to base 2\nAnswer: 11010010000111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4 - g - 2 - 1. Let l be n(-5). Let y(i) = -2*i**3 - 16*i**2 + i + 13. Let d be y(-8). Solve -d*h = 5*r + l - 26, -21 = -4*r + h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g**3 - 1785*g**2 + 5. Let f(n) = -3*n**3 - 888*n**2 + 2. Calculate 5*f(u) - 2*y(u).\nAnswer: -u**3 - 870*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 4*c - a, 44*c + 4*a + 1 = 43*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -746.8 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10895.6 + 10894. Which is the third biggest value? (a) u (b) 9 (c) -4.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1004 is divided by 144?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - a8?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - -6*1 - 1. Calculate the remainder when (-3*a)\/(24\/(-152)) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {k: 5, g: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 1 = 3*t - 8, -2*z = -t + 3. Suppose 20 = t*x - 2*p, -6*p - 8 = -4*p. Calculate the remainder when x is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5692421 centimeters in millimeters?\nAnswer: 5.692421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 288*v - 1 - 1278*v.\nAnswer: -990*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/14919 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (-2 - -20) + 0 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s**(-1\/5)*s)\/s))\/(s\/(s*s*s**(-6\/5)*s)*s*s*s*s)*s\/(s\/s**18*s)*s**(-1\/20))**(-1\/87) assuming s is positive.\nAnswer: s**(-93\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1615*y + 1633*y - 1393*y in the form v + t*y and give t.\nAnswer: 1855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c - 7. Let a be d(-12). Let y = 19 - a. Let x(z) = 5*z**2 - z + 1. Let g be x(1). Solve y*u - b - 8 = -0*b, 0 = -g*u + b + 23 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10752 and 3408.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -18*v**2 - 524*v + 12. What is k(-29)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence heyh when four letters picked without replacement from nnynhehehneeeheeeh?\nAnswer: 1\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 139.1200031 to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**2\/2 - 2337*g + 177723\/2 = 0.\nAnswer: 39, 1519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**2\/3 - 6146345*h\/3 - 6146342 = 0.\nAnswer: -6146342, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -780 - -806. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -86234061?\nAnswer: -86234063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.22 (c) 5\/3 (d) 0.3 (e) -75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/17)*y\/y**(-2\/11))\/(y**(7\/2)\/y**(3\/8)) assuming y is positive.\nAnswer: y**(-2731\/1496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 5788.\nAnswer: 17364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -1062.\nAnswer: -2124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -174 + 178. Solve 0 = -q - q - c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1400 (base 7) in base 11?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -9*i - 1. Let o be b(-1). Let u be (-2)\/o*16\/(-36). Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -54, -5, 75 in increasing order.\nAnswer: -54, -5, -3, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 700944?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 146*h - 358. List the prime factors of j(15).\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18473 + 18432. What is the third biggest value in w, -1, -19, -0.3?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-2\/47))\/h)\/h)**13*(h*h**12\/h*h)**(1\/26) assuming h is positive.\nAnswer: h**(-1227\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 58 = -11*m. Does 2 divide 7\/((-28)\/m) + 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 945463183*r**2*v**2 + 270*r*v**2 - 5367*r*v + 13 wrt r?\nAnswer: 1890926366*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1773423?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3370 less than 1\/261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 268 = 51*a. Solve 0 = -2*d - 2*q, a*q - 10 = 2*d + 2*q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2330, -4\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 234 + -102. Calculate the highest common factor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 7:59 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 - 15*n**2 - 9*n + 13. What is the remainder when p(-7) is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 26. Suppose 3*z - w = -2*q + z, 4*q - 3*z = 2. Suppose -1 = d + 4*u - q, -5*d - 3*u = -90. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 758*l**3*q**2 + 3*l**2 + l*q**2 - 2*l*q - 5*l - 3 wrt l?\nAnswer: 4548*l*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005662482164 to six dps.\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**4 + 5*c**3 - 21*c**2 - 21*c**2 + 53*c**2 - 12*c**2 - 3*c - 2 + 3*c**3 in the form d + v*c**3 + h*c**2 + a*c + m*c**4 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + h**2 - h + 1. Let q(a) = a**3 - 7*a**2 - a + 7. Let p be (0 - 2)\/(-3 - -1). Let z(d) = p*q(d) + 2*c(d). Suppose z(w) = 0. Calculate w.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03394678187 rounded to five decimal places?\nAnswer: 0.03395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8\/25 of a second?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24948\/2520*(-60)\/(-27).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-45)\/(-10)*-1*2. Let f = 8 + o. What is the units digit of 75\/9 + f\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2846589?\nAnswer: 3, 41, 23143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 198*y + 1\/2*y**4 + 242 - 9*y**3 + 37\/2*y**2 = 0. What is y?\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -0*h - 12. Let b be -9 + 2 + h\/(-3). Let d be (20\/b)\/(3\/(-522)). What is d rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126498943 minus -0.3?\nAnswer: 126498943.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167053837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 6, -2\/5, -0.021 in descending order.\nAnswer: 6, 2\/5, -0.021, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -3*q**4\/8 - 2*q**3 - 230*q**2. Let f(y) = 10*y. Calculate a(f(b)).\nAnswer: -90*b - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 340233967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12399 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 + -47. Solve 13*y + 93 = s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 110110000111110010001010?\nAnswer: -110110000111110010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328 + 622*i - 333 - 325 + 1316 - 331.\nAnswer: 622*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -5 - (-12 + 12 - (-4 + -9))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -4)*(-7 + 8). Which is greater: h or -15\/8?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -3*f**4\/8 - 5*f**2\/2 - 45. Let p(w) be the second derivative of j(w). Let i(m) = -7*m**2. Calculate i(p(r)).\nAnswer: -567*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*j**3*r**2 - 2*j**3 - 39*j**2*r**2 - 8941*j**2 + 7*j + 36*r wrt r.\nAnswer: -28*j**3*r - 78*j**2*r + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 8692*x.\nAnswer: 4*x*(x - 2173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.32 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 2. Let f = 0 - 2. Let v = 0.08434 - 5.08434. Which is the nearest to y? (a) v (b) -0.05 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, p: 2, z: 4, v: 1, s: 3}. Give prob of picking 2 s, 1 w, and 1 z.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ippi when four letters picked without replacement from ipiipi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.048553s in minutes?\nAnswer: 0.08414255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/3)\/(1\/(-2)). Let c be (-18)\/(-3)*(-1 + y). What is the greatest common factor of c and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 5. Suppose 5*n = p*r + 72 + 36, 4*n - 3*r - 84 = 0. Suppose -t = 2*t - n. Calculate the highest common divisor of t and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 3, u: 7}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 2*p - 2*h + 5, -5*h = 3*p + 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.1 to the nearest integer.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 6 = -5*f. Let v(s) = s**3 - 3*s**2 + s - 1. Let z be v(2). Let y be 36*(3\/z)\/(-2). Solve -3*p - 2*p + 3*m = -f, -2*p + y = 4*m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 12*a**2 - 20*a + 4. Let q = -144 + 134. Let u be j(q). Suppose -5*s - 299 = -u*o, -2*s - 3*s = -3*o + 223. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*w**2 + 19*w**3 - w - 50*w**3 + 0*w**2 + 29*w**3 - 1 + 27*w**2 in the form i + t*w**3 + q*w**2 + l*w and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2037331 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2648920707?\nAnswer: 3, 294324523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*w + 3029279 = -4203739. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + 6. Suppose -3 = -4*o - i. Let x(s) = -s + 1. What is x(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -36*g + 30. Let y(f) = -102*f**2. What is a(y(k))?\nAnswer: 3672*k**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18216 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 50*q + 0 + 39*q - 13 - 76*q. Suppose 52*h + 254 = -58. Let p(f) = 7*f - 6. Give h*a(u) + 13*p(u).\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146292 and 1114710?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 6:08 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h - 8. Let x be r(-8). Solve 6 + x = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 23*z - 19. Let q be s(3). Let a = q - 13. Calculate the remainder when 107 is divided by a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -834406 - 4?\nAnswer: -834411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3\/230?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83129*b + 83208*b - 1738 = 0. Suppose 0 = 5*v - 3*g - 24, -4*v = -2*v + 4*g - 20. Calculate the highest common divisor of b and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1431, 10295, 25069, 45753, 72347?\nAnswer: 104851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2865 + 2903 + (-15 - 1) + -1\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 3 + 1)\/((-57)\/(-6) - 9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(51)\/(-6*sqrt(3)*-2) - ((3 + sqrt(51)\/sqrt(3))**2 + sqrt(17) + -3*(0 + sqrt(17))**2).\nAnswer: -29*sqrt(17)\/4 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3)\/l**3)\/(l\/l**(2\/5))**(40\/3)*(l**(7\/5)\/l**1)**20 assuming l is positive.\nAnswer: l**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 360 and 840.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -5*n + 15, 80*s = 77*s - 4*n - 37 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**6\/240 + k**5\/40 - k**4\/16 - k**3\/3 - k**2. Let r(n) be the first derivative of i(n). Determine l, given that r(l) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1100) + -1*sqrt(1100) + sqrt(1100) + 3 - sqrt(1100)) + ((-2 + -2 + sqrt(1100) + sqrt(1100))**2 - sqrt(1100)) + 1 + -1)*-1.\nAnswer: -4418 + 170*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 9*k**2 + 9*k + 11. Let b(l) = 9*l - 49. Let r be b(6). Suppose r*p = -5*f - 20, 6*f = 3*f + 4*p - 40. Calculate a(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.2 + 2.8. Let n = j + -11.00084. Round n to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 220*l**2 + 23*l - 96. Is k(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from errezeeereeerz. Give prob of picking 2 e and 1 z.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1\/5, 0, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/23 or 603853\/6?\nAnswer: 603853\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -3, -42.\nAnswer: -42, -3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o + 1 - o**2 - o + 0*o. Let a(r) = -6*r**2 + 18*r + 7. Let k(i) = 6*a(i) - 34*b(i). Factor k(g).\nAnswer: -2*(g - 4)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-39) + 89\/13. Let i be (h\/2 + -3)*4. Suppose -2*p = -4*m - 8, -2*p + 5 = -5*m - i. Solve 0 = -t + p*t - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/12 - 35\/132. Let i be 0 + 2 + 30*26\/(-325). Sort i, 2, o, -2\/49.\nAnswer: i, o, -2\/49, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44691\/2335 > -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 11 + 95 = 0. Let i be 52\/v - (0 - (-4)\/(-6)). Solve -2*q = 5*t - 7 + 32, 3*t - 16 = i*q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4900\/(-16800))\/(((-63)\/(-4))\/(-3)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2821.240325 rounded to the nearest integer?\nAnswer: -2821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2, -14, -46, -104, -194?\n\"Answer: -j**3 - 4*j**2 + 7*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39967 in -45, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*d + 34 = 0, c - 2*c = -5*d - 24. Calculate the remainder when 74 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -142.\nAnswer: -4\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (-18 + 24 + -4 + (-60 - -31))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(1053) - ((sqrt(1053) - 1*sqrt(1053)) + sqrt(1053) + 1 + sqrt(1053)) - sqrt(1053)) + 3))**2.\nAnswer: -2592*sqrt(13) + 151776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -5*n - 0*z - 17, -5*n + 2*z + 864 = 890 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-5)\/((-1575)\/54).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4635 - -4779. Let i = -566 + 803. Let x = i - u. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414776?\nAnswer: 2, 139, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 > 35\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 87*i**2 - 1675*i + 441. What is n(19)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 z, and 1 n when three letters picked without replacement from xszxnznznsoznnsnzxn?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 112 - 217 + 105 + 129*l**2 + 122*l**2 - 4*l in the form z*l + m + y*l**2 and give y.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103304 - 3?\nAnswer: -103311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2955525.4 to the nearest one hundred.\nAnswer: 2955500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 + -14907\nAnswer: -14907.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79749472 divided by -568.\nAnswer: 140404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2\/15*p**5 + 904\/15*p**2 - 2290*p - 20*p**4 + 3748\/5*p**3 + 1500 = 0.\nAnswer: -2, 1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 - 1214*w - 136*w**3 + 1215*w - 798*w**3 - w**2 to the form r*w**3 + o*w + l + m*w**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/77*7\/(-2)*(-13)\/1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 8*s - 7. Give t(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 10*d - 2. Let w be i(-11). Suppose -3*a + 3*v = -63 + w, -3*v = -2*a + 37. Find the third derivative of a*m**6 - 3 - 12*m**2 - 2 + 5 wrt m.\nAnswer: 2040*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 249?\nAnswer: -24a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 17 = -5*i - 35, w + 16 = -i. Let a be (27\/63 - -6) + 6\/w. Let b(d) = -8*d - d + 2*d + 9 + d**2. Determine b(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 23*f**2 + 100*f - 456. Give o(19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/3*(-6 + 3). Suppose 0 = -3*x + 6*d - d, -x + 17 = 4*d. Let j(l) = 2 + l + 0*l - x*l. Let w(v) = -2*v + 1. Calculate m*w(s) + 2*j(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 979 - 5.\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 261124 divided by -2?\nAnswer: -130562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14264 is divided by 528.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a - 5*a + 14*a + 14*a + 10*a - 49*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1377*p + 1472*p + 48433 = 0 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**2 + 10*l - 7. Let b be w(2). Differentiate 13 + 9*a + 10*a - b + 10 with respect to a.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*f + f - 2*f)*(-3 + 13 - 6)*(-18*f**3 + 5*f**3 - 3*f**3) as c*f**4 + a*f**3 + r + k*f**2 + x*f and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16519982 + 16519980.4999978. Let w = -1.5 - u. What is w rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/16 - (-86)\/120. Suppose 0 = 4*v + 3*l + 188, 3*v + 94 = 5*l - 76. Let q = -49 - v. Which is smaller: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 219 - 210. Suppose 18 = j*a - 36. Which is smaller: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1004.7000004629 + 1004.7. What is o rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -3, 0.5, -4\/7.\nAnswer: -3, -4\/7, 1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 + 23729098*c**3 + 140767570431589*c**2 + 563069996977212*c + 563069902060836.\nAnswer: (c + 2)**2*(c + 11864547)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -20*b**2 + 7*b + 21. Suppose -a + 0 = -5. Let d(u) = 7*u**2 - a - 2 + 1 - 2*u - 1. Let w(l) = 7*d(l) + 2*y(l). Differentiate w(c) wrt c.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-11)*i*i)\/i)**(-2\/5)*(i**17\/i)\/((i*i**(-6\/5)*i)\/i) assuming i is positive.\nAnswer: i**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, 1, 143, -4, -5, -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 154 (b) -431 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*s - 3*c, 2*s + c = -3*s + 8. Suppose 0*h - a - 417 = -5*h, 5*h - s*a - 419 = 0. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w**5 + 2*w**5 - w**5 + (-2*w + 4*w - w)*(-w**4 + w**4 - w**4) + 10*w**5 - 199 + 199.\nAnswer: 16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-292)\/(-3) + 4\/6. Suppose -2*s + 226 = 5*v - 4*s, -2*v - 3*s = -w. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -262 + 436. What is the remainder when (-2)\/4*l\/(-3) is divided by 164\/16 - (-3)\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -11 - -11) + -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 21. Determine f(-16).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -2.3\nAnswer: -1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 3. Suppose 9 = -m + 12. Let x be m\/(-12) - 45\/(-20). Let i be d(x). Solve 2*l = -0*l + i*g + 10, 2*g = -4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 2*t + 10 + 3*t - 3*t + 4*t + (-t + 2*t + 0*t)*(-3 + 4 + 0) in the form v + y*t and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108113 is divided by 53863?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 11:21 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 699, -4 in descending order.\nAnswer: 699, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79463076*j - 4*j**3 + 79463079*j - 158926155*j.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249174301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chc when three letters picked without replacement from {c: 6, o: 6, h: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4893091727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + sqrt(112)*-1 + sqrt(112))*6 + -5*((sqrt(28)\/sqrt(4) - sqrt(7))*2 + 2))*3 + -2)**2.\nAnswer: 14884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 7. Let z be t(4). Let a = -2 + z. Suppose -52*k = 4*f - 56*k - 8, 0 = -4*f - 2*k + 20. Sort -4, f, a, 5.\nAnswer: a, -4, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 50*d - 6*d - 6 - 16*d**3 + 15*d**3 - 1 + 20*d**2. Let u be s(22). Let g(k) = -k**2 - 5*k + 10. Give g(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 212 - 207. Let a be (b\/10)\/(3\/24). Let i(y) = 7*y**2 + 4*y - 1. Let x(g) = 20*g**2 + 11*g - 3. Calculate a*x(v) - 11*i(v).\nAnswer: 3*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.25 and -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/12 - (-4)\/6. Let o = 16 + -11. Let n = -11 + 7. Put n, a, o in ascending order.\nAnswer: n, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((3 - 18) + 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -347 - 481. Let v be 1*10 + -4 + -2. Suppose -715 = -v*j - d. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 i when four letters picked without replacement from {r: 6, s: 1, z: 4, i: 4, a: 3, n: 1}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-1 + -1)) + 0 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 39 = 4*n, -5*n - 2*h + 72 = -6*h. Let d be 3\/n + (-53)\/4. Let r = d - -18. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4\/3 - 40*r**3 - 18452*r**2 - 2738120*r\/3 - 2573186 = 0 for r.\nAnswer: -77, -3, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**6 - 6*a**3 - a + 1. Let q(k) = -1274*k**6 + 28*k**3 - 82*k**2 - 2*k - 5. Let d(s) = -q(s) - 5*t(s). Find the third derivative of d(g) wrt g.\nAnswer: 151680*g**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1216) + 0 - sqrt(1216).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 15*t - 24. Let z be v(-13). Suppose 0 = y - z*o - 3827, 0 = 2*y + 2*y + 5*o - 15269. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21426.1749 - 3606\nAnswer: 17820.1749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**2 + 12 + 11900*s + s**2 - 11883*s. Give m(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + -4*(-1*sqrt(637) - sqrt(637) - sqrt(637))**2.\nAnswer: -22933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (108\/(-32))\/(-9) - 0. Let x = -14 - -7. What is the third smallest value in x, 5, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a day in minutes?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120528 is divided by 55.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 6\/(-5)*(-45)\/27.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 10 = 4*d - 2, 3*d - 9 = -4*k. Suppose 7*z = d*z. Suppose 4*r - 51 = 2*i + 45, i = z. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068949 smaller than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*c - 2*b - 0*b, 0 = 3*c - 4*b + 4. Let v = c - -5. Solve -2*m = -v - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(45)*2)\/(sqrt(90)\/(sqrt(10)*4)).\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10193.6 + 10199. Which is the nearest to 2\/15? (a) -1 (b) j (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/63 and -62\/1773?\nAnswer: 12411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -60, -71, -86, -99, -104?\n\"Answer: w**3 - 8*w**2 + 6*w - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = b. Suppose -20 = 5*q - b*q. Let d = 3.942 - -0.058. Sort q, 1\/2, d.\nAnswer: q, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24550280?\nAnswer: 2, 5, 19, 32303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3)\/(x*x\/(x*x*x\/(x\/x**11*x)*x*x)*x))\/(x**(-5)\/x**(-1)))**(-14) assuming x is positive.\nAnswer: x**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -25*g**2 + 3*g - 8. Let x(k) = 8*k**2 - k + 3. Let d(n) = -3*i(n) - 8*x(n). Does 10 divide d(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -35*i + 69. Determine x(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + b = 42. Calculate the remainder when 61 is divided by -2 + (-2 - b) + 42\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + 14 + (15 - 10) - (2 + 2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 plus 4.82?\nAnswer: 4.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1290, 4978, 11132, 19758, 30862, 44450, 60528, 79102?\nAnswer: 100178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 - 0.42. Let z = l - -1.9. Let s = -1 + z. What is the second biggest value in 5, s, 2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -25*p**2 - p + 2. Let h = -93 - -94. Let q be r(h). Let v be 4\/q*12\/(-2). Which is the smallest value? (a) -5 (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/6 + 17073040*i - 437233042262400 = 0. Calculate i.\nAnswer: 51219120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 17913 divided by -21\nAnswer: -853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 7875*m - 229206. Let l be k(-29). Factor -1\/2*w**3 - l + 8*w - 1\/2*w**2.\nAnswer: -(w - 2)**2*(w + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126920?\nAnswer: 2, 5, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 - 85.44. Let b = 0.44 + o. What is the nearest to -2\/3 in b, 0.16, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -2*c - 4, 779081*c - 779078*c - u - 1 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*r + 2*z + 4, 15 = -3*z. Suppose r*b - 3*t - 24 = 0, 3*b - t = -11 + 31. Suppose -2*u = -b*u + 28. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 4. Let u = 18 + v. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 361, 476, 591?\nAnswer: 706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9632, 19242, 28852?\nAnswer: 38462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -35. Let g be f\/5 + 116\/20. Solve 2*d + g = -5*y - 0, -4*y - 8 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*m**3*n**2*u**3 + 8*m**3*n*u - 2*m**2*u**2 + 372*m*n**2*u**3 + 3*m*n*u**3 - 72*m*n*u wrt n?\nAnswer: 14*m**3*u**3 + 744*m*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((112\/196)\/(-2))\/((-68)\/14).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 19.5. Let a be (-60)\/(-32)*8\/12. Put a, -8, k in descending order.\nAnswer: a, k, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/6, -2\/29.\nAnswer: -1, -1\/6, -2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*r - 142, -2*d = -2*r + 44 + 12. Let s = -15 - d. What is the remainder when 40 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-20))\/(155\/(-62)*18\/(-50))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4.5 times 5440.1\nAnswer: -24480.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6*-50663.42\nAnswer: 303980.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 36*l + 32*l = 24, -4*i - 25 = 5*l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1434232 (base 5) to base 15\nAnswer: 90cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*x + 6, -4*c = -50*x + 54*x - 8. Solve 0 = 5*k - 2*j - 7, x*k - 3*j + 3 = -8*j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1055913.9 to the nearest ten thousand.\nAnswer: -1060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-2))\/((-1)\/6). Suppose 20 = 2*g + s*g. Suppose 5*v - 30 = -5*c, 2*c + 26 = 5*v - 18. What is the greatest common factor of g and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8\/(w*w*w**0*w*w))\/(w*w\/(w\/w**(-8))*w**(1\/2)) assuming w is positive.\nAnswer: w**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*f - 87*f + 29*f - 61*f to the form u + c*f and give c.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014544 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 8 = g, -5*g + 37 = -4*f - 0. Let h = 3 - g. Let k(p) = -11*p. Is k(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 15 = 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9 times 6?\nAnswer: 41.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k - 18*k - 1038 = 0. Let a = k - 100. What are the prime factors of a?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (17 + -5)\/6. Let q = -129 - -126. Which is the nearest to 0.1? (a) q (b) -8 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 - 29. Suppose 0 = -b, 2*b - b - c = 4*y. Let i = 28\/5 + -127\/20. What is the second biggest value in i, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + z = 32, 4*z + 80 = 5*b + 2*z. Let v be 12\/(-2) - (13 - b). Suppose -35 = 9*x - 16*x. Sort x, v, 2.\nAnswer: v, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1077487?\nAnswer: 401, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 22754280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j + 4 = 0, 3*j = -3*n + 36. Suppose m - n = -5. Suppose 0 = 2*v - 8, 0 = w + 4*w + m*v - 80. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -1234937\/70 + 17641. Calculate the common denominator of 89\/140 and o.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**3 + 88*k**2 + 24*k + 30. Does 19 divide r(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 7:08 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -15 (b) 15776 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -96228280747531 and 0.2.\nAnswer: -96228280747530.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 7*r**5\/30 + 2*r**3 + 4*r**2. What is the derivative of z(t) wrt t?\nAnswer: 28*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from {g: 1, l: 1, f: 2, u: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 13*x + 9. Let d be b(-12). Let h = d + 1. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23749126?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 658794158.\nAnswer: 2, 11, 29945189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 6*k + 4. Let q be u(7). Suppose -3*z + 36 = 5*c + q, -5*c = -3*z - 25. Let y be 65\/(-55) - 2\/(-11). Sort 4, c, y.\nAnswer: y, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(4 + 0))\/(-5)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 610914062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.117778 rounded to three decimal places?\nAnswer: 3.118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 - ((35 - 20) + 38)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 + c + 1. Let r(t) = -t - 1. Suppose 11 = -2*q + 5. Let f be (-1 - -2)\/(q\/3). Give f*l(s) - 3*r(s).\nAnswer: 2*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = k - 36. Let p = 20 + k. Factor -2\/5*s + 0 - 1\/5*s**p.\nAnswer: -s*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6744568 * -10\nAnswer: -67445680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -53b46?\nAnswer: -53b4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 990 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020200 + 12?\nAnswer: 1020212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 5253000 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 + 3 + -2 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-80)\/(-440) - (-12008)\/22 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/16 - 10540\/(-160). Suppose y*r - 150 = 61*r. Let s(p) = p**2 - 8*p + 14. What is the remainder when s(-7) is divided by r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -1. Let l = -6 - -8. Suppose -3*i + 3*v = -57, 24 = 2*i - i - l*v. Solve 4*y - 2*o + 0 - i = 0, -g*y + 17 = o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**2 + 3*q**2 + 8*q + 6 - 8*q**2. Let h be m(5). Let k = -0.2 - -0.4. Which is the second biggest value? (a) -0.1 (b) h (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 8:33 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five eighths of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dj when two letters picked without replacement from {u: 6, s: 3, j: 1, d: 1, i: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3508870 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - w = -3*t + 1954, 3*t + 2*w = -1949. Which is bigger: t or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 40?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -8*d - 8. Let s be r(-2). Solve -o = o + s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*q**2 + 28*q**2 + 6*q**2 + 30*q**2 - 5*q.\nAnswer: -24*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 239.2 and 3.1.\nAnswer: 741.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 9*n**3 - 1879*n**2 - 427*n + 1893. What is w(209)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 - -1*(-38)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - h - 1259, 17*h = 4*f + 20*h - 2553. Calculate the lowest common multiple of 1899 and f.\nAnswer: 1899","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p - 13. Let j = -23 - -17. Let h be b(j). Let v = -212 - -245. What is the greatest common factor of v and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4819 and -3609068.\nAnswer: -3604249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 14*w - 3. Let y be -11 + 19 - 1*2. Let t(f) = 5*f - 1. Let g(a) = y*s(a) - 17*t(a). Let u(l) = l + 1. Calculate -4*g(m) - 2*u(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 30 = -5*k. Suppose -k*f - p + 19 = 0, 2*f + 3*p - p - 14 = 0. Let o(t) = t + 4. Is o(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47107, 47066, 47005, 46930, 46847?\nAnswer: 46762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -109\/3. Is w less than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 12 = j - 2, j + 14 = 4*z. Let x = 0 + z. Factor 8*f + 6*f - 2*f - x*f**2 + 12 - 4*f.\nAnswer: -4*(f - 3)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + (15 - 15) - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + -29 + -7 + -11 + 17.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 0 - 5 - 3 + 10. Let j be (-40)\/6*(-6)\/(-4). What is the remainder when 68 is divided by a(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 3\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 0)*(-4 - 3 + 1) - 5 + 0 + 3)*(g**3 - 2*g**3 - g**3) + 2*g + g**3 - 2*g.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/20)\/(18\/(-45)). Let x = -0.157 - -0.773. Let i = -0.084 - x. Sort u, -1, 1\/4, i in ascending order.\nAnswer: -1, i, 1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*1*6\/(-6). Let z be 10*(m\/2 + 2). Let i = 0 + z. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*f - 0*f - 32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 289, 539, 751, 907, 989, 979, 859, 611?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 22*k**2 + 6. Let b(t) = -4*t**2. Calculate n(b(i)).\nAnswer: 352*i**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 5:47 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (364\/(-49))\/13 + (-212)\/(-322).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(4\/5)*(g*g\/(g**8*g*g))\/g*(g*g**(-11))\/g**(-8))**(-5))**(-25\/6) assuming g is positive.\nAnswer: g**(-575\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - 20?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1423 and -0.3?\nAnswer: 1422.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, w: 5, h: 7, c: 3}. Give prob of sequence ph.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**24\/(h*h**0)**(2\/101))\/((h*h\/h**(1\/2))**32*h\/((h**(-7)\/h)\/h)*h**(5\/3)) assuming h is positive.\nAnswer: h**(-18085\/303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 - 50. Suppose -c + o - 63 = 0. Let k = c + 57. Is k greater than or equal to 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**4 - 7*n**4 + 4*n**4)*(3*n - 1 - 7 + 10) - 5*n**3 + 5*n**3 + 2*n**5.\nAnswer: -16*n**5 - 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b = -3*i + 356, 0 = -5*i + 5*b + 600. Let f = i + -41. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34847251*o**3 + 75*o - 10766 wrt o?\nAnswer: -209083506*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p + p - 2*p - 3*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 2. Let h be k(-2). Let d be ((-3)\/(-15))\/(2\/(-8)*h). Find v, given that -2\/5 - 1\/5*v + 1\/5*v**3 + d*v**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.513303 - -488.168923. Let g = -457.656 + u. Let a = g + -25. Round a to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 9. Suppose 5*d = -4*p - 52, 4*p = d - 35 - 17. Calculate m(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k. Suppose -n = -x + 2*n + 11, 3*x - 4*n = 18. Let f(d) be the first derivative of -1\/3*d**3 + 0*d + 0*d**x + 1. Calculate f(c(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -6. Find the third derivative of -4*o**4 + o**4 - 6*o**2 + 0*o**4 - a*o**4 wrt o.\nAnswer: -264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 12 + -16 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/14 - -1 - (-11 - (-1148)\/49).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/15, -18, 1\/2, 4\/3, 7?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 3*i + 3*k - 81, 236 = 3*i + k. Suppose -5*c + 355 = -p - 0*p, 5*p + 25 = 0. Let b = i - c. Calculate the greatest common divisor of 70 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, -42 in decreasing order.\nAnswer: 7, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 1\/4, -2, -3, 4, 33\/13?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -15*i**3 + 7*i**2 + 7*i. Let n be (1\/2)\/(21\/294). Let u(p) = -8*p**3 + 4*p**2 + 4*p. Determine n*u(b) - 4*a(b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011001 + 1110100000?\nAnswer: 1011000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2793\/(-1862))\/(3*(-140)\/(-16)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**3 + 15*d**2 - 3*d - 4. Calculate the remainder when 53 is divided by w(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/4)\/(v\/(v*v**(-4\/3)*v))*(v**0*v)**36 assuming v is positive.\nAnswer: v**(425\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43885, 49718, 55551, 61384, 67217?\nAnswer: 73050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*-1*sqrt(121)*6)\/(sqrt(44)\/(sqrt(324)*3)).\nAnswer: -2916*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {f: 11, g: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-1 - -4)*225\/(-18). Suppose -c + 16*c = p. Solve 0 = -4*u + c*u + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n**3 - 11*n + 5. Let z(p) = -9*p**3 - 21*p + 10. Let u(a) = 11*h(a) - 6*z(a). Let w be u(-3). Solve -4*l - 3 + w = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 + 20*u - 140. Calculate the least common multiple of 282 and b(11).\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 4 = 0, 4*s - p = p - 16 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 - 13. Let u = 75 + j. Which is the closest to -1\/6? (a) 1\/6 (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 + 74. Suppose v*q + q = 31. Which is smaller: 33 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from brrzkof.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 679*v - 25909. Calculate n(39).\nAnswer: 572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/9 and 27\/28750?\nAnswer: 258750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 6, f: 4, o: 1}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1348942 - -122752122\/91. Let y = v + 122\/7. Which is the biggest value? (a) 0 (b) y (c) 4\/7 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*r + 5 = 76, 4*t = -2*r + 50. Calculate the highest common factor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - t = -21*d - 333, 32 = -174*t + 174*t - 2*d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1135 + -1134.9. Let y = 3.7 + -4. Which is the smallest value? (a) 1\/4 (b) y (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/67 + -148\/469. Let a = -126 - -128. Let i = -27 + 27.1. Put 1, a, v, i in increasing order.\nAnswer: v, i, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y + 2*y**4 - 3*y)*(-1 + 2 + 0) + (0*y**3 - 3*y**3 - 4*y**3)*(9*y - 49*y - 18*y) to the form s*y**4 + q*y**2 + m*y**3 + r + o*y and give s.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r - 40. Let o(p) = 4*p - 41. Let s(u) = 5*l(u) - 4*o(u). Let y be s(11). Solve 4*w = 2*m + 6 + 18, 0 = -4*m - 2*w - y for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -3. Calculate the lowest common multiple of i and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 1, -224, -78, 2, -105 in increasing order.\nAnswer: -224, -105, -78, -39, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*r**3 - 78*r**3 - 10*r**3 + 160*r**3.\nAnswer: -17*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22.4 + 14.84. Let l = 14 - 21. Let g = v - l. Round g to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 + 84. Let g be (2 - 1) + ((-9)\/h - -5). Let s = -4 - -6. Solve -g*d + 10 = s*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -544211 (base 6) in base 13?\nAnswer: -17641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-15)*(80\/28)\/4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 282*h**2 + 843*h + 1902. Determine j(-279).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*n = 144, 10*b = 7*b - 3*n + 105. What is the remainder when 333 is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 154.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 3*r**2 - 14*r - 9. Let x be h(3). Solve -x*p = 4*u + 6, u = -5*p + 5 + 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000020462945 rounded to 7 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -242 + 61?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1597 + 915. Is b\/(-8) + ((-245)\/(-28))\/(-7) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20826 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 67*d + 23. What is p(66)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1417121173?\nAnswer: 13, 17, 6412313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwcwrrrrwwnwyyrrwrrw. Give prob of sequence yr.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5*f)\/f*f**(-3)*(f**(-2))**(3\/2) assuming f is positive.\nAnswer: 1\/f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 14 - -16 - 0 - (-1 + -19)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132 - 51. Suppose d = 2*w + 23. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 2 + 2\/(-2). Suppose 417 = d - p*k, 5*d - 685 - 1448 = 4*k. Calculate the highest common divisor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*u - 972 + 36 = 0 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 - 66. Suppose -z*t = -7*t - 54. Calculate the remainder when t is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3222, 6516, 9810, 13104, 16398?\nAnswer: 19692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1065 = 4*m + 5*g, -3*m - g + 795 = 4*g. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9617710)\/(-12) - 4\/(-24). Let j = 30715303\/38 - y. Let n = -6821 + j. Find the common denominator of 81\/20 and n.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12472542*a - 5733 = -12472451*a for a.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1240426988?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1365, 1386, 1407?\nAnswer: 1428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 65 = 114. Calculate the remainder when (-1)\/((-15)\/(-24))*-20 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28\/4 - (-4*1 - -2). Suppose -x*q + 12793 = 2*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4114 = 5*t - 23399, -5*b + 19283 = 4*t. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 26070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3549506417 to the nearest integer?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - sqrt(80)\/sqrt(288))\/sqrt(2).\nAnswer: 5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*(-3)\/(-6)*-2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + ((-3 + -2 - 1) + 12 - 19)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 minus 3.5?\nAnswer: -3.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 82*m + 1314. Let v be i(-16). Suppose 2*h - j - 11 = 2, -24 = -h + 4*j. Solve g + v*d - 8 = -3*g, 0 = h*d - 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56666.682 nanoseconds to days.\nAnswer: 0.000000000655864375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4469 * 28.\nAnswer: -125132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*u - 6*y - 45, -2*u + 5*y = -31. Solve 5*n - 2 - 14 = -3*x, u*n - 4 = x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -390 divided by -30.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -75 and -0.061.\nAnswer: 4.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 + -0.05932. Round g to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.72 + 3.843. Let i = v - 0.123. Do 1 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2613704251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33020, 33015, 33010, 33005?\nAnswer: 33000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2. Let a(t) = 9*t**2 + 1. What is -2*a(q) - 6*d(q)?\nAnswer: -12*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 847 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(847) + 0 + -5)**2 - (1 + sqrt(847))*-5) + (-1*(3 + sqrt(847) - sqrt(847)))**2 + 5)*6.\nAnswer: -330*sqrt(7) + 5346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129 and 148952.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0407 and -0.63.\nAnswer: -0.025641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 749*c**3*l**2*o**2 - 23*c**3*l*o**2 + 13*c**2*l**2*o**2 + 4*c**2*o**2 - 2*l**2*o**2 + 21*l*o**2 wrt c.\nAnswer: 4494*l**2*o**2 - 138*l*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + s**2 + 1. Let d(h) be the third derivative of h**6\/30 + h**5\/20 + h**3\/2 + 2*h**2. What is 2*d(o) - 6*x(o)?\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -313*o**5\/5 - 841*o**3\/3 - 151. What is the third derivative of q(s) wrt s?\nAnswer: -7512*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -284\nAnswer: 284.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 10*i**2 - 9*i + 6. Let o be b(-9). Let d(a) = -a**3 + 8*a**2 - 6. Is d(o) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 9 + 9 - 17. Give g(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - -10. What is the remainder when q is divided by 33?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -1\/4 (c) -0.2 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-264)\/(-10))\/(174\/27260)?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((23085\/(-27))\/(-15))\/((-3)\/(-3))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = -4, 2*m = -2*q + 4. Calculate the remainder when q is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-10\/9))**(-3\/35)\/(j*j**(-7\/5)*j**(16\/5)\/j) assuming j is positive.\nAnswer: j**(-208\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**4\/6 + x. Let l(p) = 2*p + 3. Let u(o) = -6*o - 10. Let v(b) = -10*l(b) - 3*u(b). Give s(v(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*((-14)\/6 - 1). Suppose 2*j - 3*t = 38, 0*j - j - 3*t = -c. Suppose -z + 77008 = -2*y, 0 + j = -4*y. What is z rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 + -58.4. Let b = d - -11.4. What is the nearest to b in 2\/9, -0.2, 10?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(20\/15) + 7\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 467*c. Let n(r) = 6028*r + 2. Calculate n(f(w)).\nAnswer: 2815076*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511315?\nAnswer: 5, 7, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 9:08 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 356333, 1425613, 3207747, 5702735?\n\"Answer: 356427*r**2 - r - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13600436 or 13600437?\nAnswer: 13600437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 3467*g**2 - 3461*g**2 - 3467*g**2 + 10391*g**2.\nAnswer: -4*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 89*j - 91*j + 10 = 0, 6 = t - 3*j for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 16050758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -4*b - 7*b - 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.278, -1\/3, -1, 2\/5, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(900\/160))\/(2\/6)*390\/52\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {q: 4, d: 5, z: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1293 - -1928. Suppose -r = -4*o - 107. What are the prime factors of o?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 11\/2*v**2 + 10\/3*v**3 - 1\/4*v**4 - 5 - 7*v. Give h(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/10 and -17\/2702.\nAnswer: 13510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 1299.772083 and -1.03.\nAnswer: 1298.742083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -36 times -4597\nAnswer: 165492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*o - 14. Let x = 192121 + -192121. Solve x = -p + 3*l - 5, -l = -3*p + o - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1700231, -1700232, -1700235, -1700240, -1700247, -1700256, -1700267?\nAnswer: -1700280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 16206 = -4*h + 4058, -z + 3033 = 3*h. Does 92 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12050, -24008, -35872, -47642, -59318?\n\"Answer: 47*a**2 - 12099*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13524132 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/2298250 and 28\/45965.\nAnswer: 2298250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4790944?\nAnswer: 2, 149717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**4\/6 + 9*k**2 - 1. Let q(p) = 37*p**2. Determine i(q(s)).\nAnswer: -148*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23 - -7ac?\nAnswer: 7cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -34368, -0.3, 2\/17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 522*r**2 - 38*r + 5*r - 204*r**2 + 11 - 181*r**2 - 194*r**2 wrt r.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n**3 - 263*n**2 - 628*n - 183. Let t(h) = 24*h**3 + 1045*h**2 + 2510*h + 733. Let i(m) = -3*t(m) - 13*w(m). Factor i(p).\nAnswer: 2*(p + 2)*(p + 45)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331087 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*m = -44 - 50, 5*m = 2*d - 106. List the prime factors of d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 2:33 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 148 and 105492?\nAnswer: 3903204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.48 + -1.5. Let p = -0.02 - g. Let h = 617\/12 - 155\/3. What is the nearest to -0.1 in h, p, 1\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2783\/(-33) + 8)\/(1*(-2)\/318)?\nAnswer: 53, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464150631.\nAnswer: 3, 7, 31, 712981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 372*w + 3672.\nAnswer: -4*(w - 9)*(w + 102)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, o: 12}. What is prob of picking 2 o?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 31, -0.03, -299, 15 in ascending order.\nAnswer: -299, -0.03, 3\/5, 15, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.5200925 rounded to two decimal places?\nAnswer: -25.52","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119 bigger than 192942\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/50 and -31\/90?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(-5)*4160\/2688 and 113\/196.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36 + (-5)\/(-15)*-3. What is the second derivative of -14*f - 14*f**2 - 23*f**2 + g*f**2 wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.502 - 0.102. What is r rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -295000 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -2925418389097.\nAnswer: 2925418389097.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016280647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128.67, -1\/11, 4\/4721 in descending order.\nAnswer: 128.67, 4\/4721, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from {y: 1, c: 1, m: 4, x: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 8257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -313 - -312.905. Let h = 0.225 + f. Is 4 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m**3 + m + 0*m**2 + 0 + m**2 - 1. Suppose 0 = -8*v + 174 - 166. Determine y(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199700?\nAnswer: 2, 5, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 206422481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326765*x - 163291*x - 163428*x - 2*x**2.\nAnswer: -2*x**2 + 46*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7805271.1 rounded to the nearest 100000?\nAnswer: -7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*(sqrt(68) - 2*sqrt(68)) - -6*(1 + sqrt(68) - sqrt(68)))**2.\nAnswer: -120*sqrt(17) + 1735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2 + 8*s - 14*s**2 + 4*s**2 - 28*s**2 + 1. Let l(t) = 13*t**2 - 3*t - 1. Let a(y) = 3*f(y) + 8*l(y). Find the first derivative of a(u) wrt u.\nAnswer: -20*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*m + 8 = 3*v, 4 = -3*v + 5*m. Let n be -1 + 5 + -8 + 4 + 184. Let s = -178 + n. Solve -2*r = 2*b + 16, -4*r - s = -v*r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/27650 and -23\/7110?\nAnswer: 248850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y + 33*y + 2*y**3 + 12*y - 39*y + 21*y.\nAnswer: 2*y**3 + 32*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5 + (-1 + (sqrt(300) + sqrt(300) + 1 - sqrt(300)) - -4*(-1 + sqrt(300))))**2.\nAnswer: -900*sqrt(3) + 7581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - k + 18 = 0, -8*v + 3*v - 4*k + 27 = 0. Suppose -o = -4*m + 513, -v*m + 2*o = o - 385. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a = 13*a + 1938. Let u(t) = 15*t**2 + 2. Let m(r) = 374*r**2 + 51. Determine a*u(h) + 2*m(h).\nAnswer: -17*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 - (13 + -7) - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 422 + -290. Suppose d = 16*s - 10*s. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-12))\/((-6)\/32). Let c be (9 - 3)\/(3\/4). Sort c, -2, n, -1 in decreasing order.\nAnswer: c, n, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003744858588 rounded to seven dps?\nAnswer: -0.0000374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 2:00 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -75535*o. Let c(t) = 2*t. Give p(c(x)).\nAnswer: -151070*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2\/5 - 1122*l\/5 = 0. Calculate l.\nAnswer: -561, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 43540 to the nearest 1000.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x + 8*x + 9*x**3 + 621 - 721.\nAnswer: 9*x**3 - 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2865, 4853, 6841, 8829, 10817, 12805?\nAnswer: 14793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 159613421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 o, and 1 b when three letters picked without replacement from {x: 2, o: 2, b: 1, j: 7, r: 2, e: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*((g**0*g)\/g)\/g*g))**(15\/2)*((g\/(g\/g**(17\/5)))\/g)\/g**(12\/5) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -445 - -452. Does 20 divide ((-12)\/v)\/((-6)\/105)*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4393?\nAnswer: 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1095532?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72 (base 11) to base 6.\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(((sqrt(171)\/sqrt(3))\/sqrt(3) + sqrt(19))*5 + -2 + sqrt(19)*1 + -3)*-4)**2*5.\nAnswer: -79200*sqrt(19) + 1673280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-9))\/(122\/(-6) - -5). What is the second biggest value in 1\/4, y, -0.4, -191?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, l: 2, j: 4, o: 3}. What is prob of picking 2 l, 1 m, and 1 j?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**7\/42 - 3*z**6\/10 + 3*z**5\/4 + 25*z**4\/12 + 515*z - 4. Solve s(v) = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, c: 4, j: 1}. What is prob of sequence ccd?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 3:50 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 763641778 to the power of 1\/10, 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 {h: 5, w: 2, u: 3}. Give prob of picking 3 u.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -100, 0, -7, -189, 1, -2 in increasing order.\nAnswer: -189, -100, -7, -3, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2321 and 395203?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -411 = 5*i + 689. Let b = -212 - i. Calculate the least common multiple of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9048\/261*36\/32?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9223 divided by 43?\nAnswer: -9223\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 15+-9001017922\nAnswer: -9001017907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8393788457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u. Let l(o) = -19*o + 1. Let v(g) = 14*f(g) + 4*l(g). Calculate the remainder when v(3) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 5, f + 3*f - c - 261 = 0. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 11*u - 7*u + 8 = 0, -2*h + 2*u = -4. Let o be (-66)\/(-14) - (-4)\/14. Let g be ((-2)\/6)\/((-2)\/30). Solve h = g*k - o - 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(60\/28) + (-40)\/(-50). Suppose 2*l + 3 = 5*g, 8*l = 4*l - 5*g + 9. Let c = -157\/666 + 1\/74. What is the second biggest value in 4, c, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.413276l?\nAnswer: 2413.276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 12, 3*q - 23*z + 12 = -28*z. Let m be (-5)\/(10\/4) - -12. Suppose 5*y - 3 = 2*g + m, -y = -3*g. Are y and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15*(-45)\/(-150)*2*1)\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -995*v + 996*v - 5*d - 22, -34*v - 5*d - 127 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 213568*w**2 - 66162*w**2 - 43 + 5*w + 100373*w**2 + 17. Let o be f(3). Round o to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 342552, 684918, 1027284, 1369650, 1712016?\nAnswer: 2054382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.21 + 0.21. Let m = -12 - r. Let k = -14 + 14. Sort k, m, 1 in decreasing order.\nAnswer: 1, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 9:50 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11786*d + 11785*d + 305*d**3 - 3*d**2 + 3*d**2 - 1047*d**3.\nAnswer: -742*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.164 + 0.104. Let z = d - -0.56. Let o = -0.2 + 3.2. What is the fourth smallest value in z, 5, -0.1, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s + 24. Let p be m(0). Let u = -24 + p. Suppose u = -6*y + 417 + 33. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 29. Let y be (-3)\/(-15) + (-909)\/(-5). Find the common denominator of -27\/16 and -2 + z\/180*y.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19234, -23497, -27766, -32041, -36322, -40609?\n\"Answer: -3*a**2 - 4254*a - 14977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19171 or -1\/4?\nAnswer: 19171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**6\/5 - h**5\/2 + 73*h**4\/4 - 239*h. Find the third derivative of d(k) wrt k.\nAnswer: -144*k - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**5\/15 + o**4\/8 + o**3\/6 - 58*o**2. Let z(a) = 2 + 5*a + a - a - 7*a**2. Determine 5*g(h) - 3*z(h).\nAnswer: h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 488 and 16054956?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 112442749859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -373*b**2 - 9*b + 9. Let t be o(6). Let v = t + 1657193\/123. Let k = -2066\/861 + v. Which is smaller: -3 or k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -4*c + 41. Solve 0*x - 3 = -c*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 10 = 5*a, -2*a + 2 = -w. Suppose 0 = w*s + 5*z - 87, 5*s = 14*z - 11*z + 202. What is the remainder when s is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2373 = 4*i - 11*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.001 - -0.235. Let w = h + -0.23417. Round w to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19512346499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456509.\nAnswer: 307, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2. Let t(i) = -367*i**2 - 10*i + 4. Let w(r) = -40004*r**2 - 1095*r + 438. Let n(o) = -438*t(o) + 4*w(o). Calculate n(u(g)).\nAnswer: 6570*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 3*f**2 + 4*f - 3. Let v = 0 - -2. Suppose -v*j + j = 4. What is m(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011100 (base 2) in base 13?\nAnswer: -18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**2 + 4*g + 1. Let w(o) = 198*o**2 - 20*o - 5. What is 15*f(n) + 3*w(n)?\nAnswer: 534*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 3. Let j be z(-4). Let o be 0\/(j + 1) - -5. Suppose -4*m - 32 = -o*m. Calculate the remainder when m is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3055 (base 7) to base 14\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*f**5\/5 + 9441*f**4\/5 - 848046*f**3\/5 + 3888546*f**2\/5 + 10359129*f\/5 + 5613069\/5 = 0 for f.\nAnswer: -1, 7, 517\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 1, h: 2, d: 1}. What is prob of sequence zw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*c - 9, 12 + 3 = -4*a + 5*c. Suppose a = -3*h - 0 + 3. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7)*x*x**(2\/15))**(8\/5))**(2\/5) assuming x is positive.\nAnswer: x**(1424\/2625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r + 102. Let v be i(-14). Which is the closest to -5? (a) -1 (b) 0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243 = 40*x - 157 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b = 4*f + 22*b - 38, -4*f = -7*b + 82 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107090?\nAnswer: 2, 5, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(3\/5))**50*((m*m**(-2))\/m)\/(m*m**(2\/5)))**(-6))**40 assuming m is positive.\nAnswer: m**(-6384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1613 + 1605.23. Round j to 1 decimal place.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-3) + -4 - -2)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**4 + 41562430*f**3 - 86371862500065*f**2 + 345486951251260*f - 345486785001620.\nAnswer: -5*(f - 4156241)**2*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5303.119 weeks?\nAnswer: 890923.992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -260684.88 minus -25.4678?\nAnswer: -260659.4122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3737, -7524, -11311, -15098?\n\"Answer: -3787*w + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 21*c - 6*c - 1903887 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 7*m**2 + 2*m + 11. Let r be i(-7). Suppose -4*z + 0*q + 3 = -3*q, 0 = 5*z - 5*q - 5. Sort r, 4, z.\nAnswer: r, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 3*f + 14.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -483 + 490. Suppose i + 5*a = 12 - r, -3*i + a = -15. Let b = 140\/3 - 47. What is the biggest value in b, 1\/11, -4\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -210b426 + a?\nAnswer: -210b418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*o = 88*o - 45. Suppose -o = -7*z + 5. Let 48*l + 144 - 5*l**2 + l**2 + 3*l**z + 5*l**2 = 0. Calculate l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 3*g + 3. Let f be h(-2). Let k be -1*f*(-8 + 7) + 3. Sort -5, -3, -4, k.\nAnswer: -5, -4, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 11*r**2 + r + 813. Calculate l(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 158*p - 164*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 6*x**2 - 4*x**2 - 10*x + 6*x**2 - 8. Let v be j(-9). Let k(i) = 71*i - 1. Let a be k(v). What is the greatest common factor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a0093a (base 13) to base 8\nAnswer: -16126704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1495, -1179, -845, -487, -99, 325?\n\"Answer: p**3 + 3*p**2 + 300*p - 1799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37 + -187?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -153, -4, -110 in increasing order.\nAnswer: -153, -110, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - (1 + sqrt(175))*-6)**2.\nAnswer: 420*sqrt(7) + 8611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/11, 2\/7, 5\/4, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4886)\/63*-9)\/(-2). Is -349 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 18*v**2 - 11*v - 87. Determine n(18).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 600 = 6*d. Calculate the highest common divisor of 80 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 2)*(n**5 - n**5 - 2*n**5) - 2*n**5 + 3*n**5 - 2*n**5.\nAnswer: -7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g + 11. Calculate d(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 40*t + 33*t + 33*t - 88*t. Let d(g) = 306*g**2. Calculate c(d(o)).\nAnswer: 5508*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 470096 and 154.\nAnswer: 3290672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -345, -2, 2, 15, -23, -5 in increasing order.\nAnswer: -345, -23, -5, -2, 2, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 17675*-86\nAnswer: -1520050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-4) - 132\/48. Let t = -4 - m. Let g = 2 - t. Calculate the remainder when 11 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k. Let d(y) = -y**2 - 6*y - 6. Let b be d(-4). Let p(j) = 0*j - b*j + 4*j - 3*j. Give p(s(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 17*v + 897. Let p be m(-51). Solve -p*z + 5 = -55 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16934?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -1\/2, -1109, -5.3, 2, -2, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**5*i*i**(-2\/11)\/i*i**(1\/3)\/((i\/(i*i*i**(-1)*i))\/i) assuming i is positive.\nAnswer: i**(236\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13334 (base 10) in base 15?\nAnswer: 3e3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -6*g + g + 26, -h - 13 = -4*g. Suppose 72 = g*u - 3*u. Let c = 112 - u. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 175\/4 - 87\/2*v - 1\/4*v**2 = 0.\nAnswer: -175, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*b = -19*b - 9*b + 280. Let o = -7 + 13. Solve -o*r = -b*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46239 (base 11) in base 3?\nAnswer: 10101200100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 10*u - 95 = -15*u, -209 = -3*v + 4*u. Suppose v*o - 48 = 67*o. Solve 4*i - o = 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -89\/13?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -555, -425, 311, 1659, 3625?\n\"Answer: j**3 + 297*j**2 - 768*j - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -49. Let a(s) = -s**2 + s + 1. Let v be a(0). What is the remainder when l is divided by 19*1 + v + 1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/16 + (-2 - -3)\/((-27)\/135).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 970841?\nAnswer: 131, 7411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -421830455 + 1173590455. What is m rounded to the nearest 1000000?\nAnswer: 752000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (37\/(-814))\/(52\/(-429))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o. Let b(p) be the third derivative of 7*p**5\/30 + p**4\/24 + 7*p**2 + 6*p. Determine q(b(d)).\nAnswer: -70*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-8)\/(-6))\/(2\/(96\/432)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190 + 4*n + 190 - 41*n**3 + 14*n**3.\nAnswer: -27*n**3 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a meter in micrometers?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 257*u + 0*u**3 + u**2 + 2 + u**3 - 256*u. Determine g(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 7:38 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 19*z**4\/4 + 6*z**2 - z + 4. What is the second derivative of m(n) wrt n?\nAnswer: 114*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 7. Let q(r) = 3*r**2 + 2*r - 96. Let j be q(-6). Which is the second biggest value? (a) i (b) 0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*g**3*v**4 - g**3*v + 4*g**3 + 6*g**2*v + 9*g wrt v?\nAnswer: 40*g**3*v**3 - g**3 + 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, 1, -10, -3\/8 in decreasing order.\nAnswer: 1, -3\/8, -10, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24311 + 24338. Suppose -2*r + 16 + 6 = 0. Calculate the remainder when u is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39268 (base 11) to base 12\nAnswer: 2864a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*61\/671*(-40)\/15*12.\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 74 - 59 = 5*v, -143 = 5*v + 4*f. Let y = v - -29. Differentiate 63 + 2*p**2 + 13*p**y - 78 with respect to p.\nAnswer: 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 + 2*x - 2*x + x**3 + 3*x - 3*x + (2*x**2 + 0*x**2 - 4*x**2)*(7*x + 168 - 168).\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -652, -1297, -1954, -2629, -3328, -4057, -4822, -5629?\n\"Answer: -n**3 - 638*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1890 and 116991?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 11 + -12 + -4 - 4 - -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3)*-4*20*(-225)\/(-2000). Suppose -3*r = 0, 31 = 5*j + 3*r - 9. Solve -h - t*h = j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -163 - -163. Let n = -215 + 216. Sort -4, 4, q, n in descending order.\nAnswer: 4, n, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m*r**4*y**3 + 212*m*r**2*y**2 - 2*m*r*y**3 - m*y**3 + 19*r + 2*y**2 wrt r?\nAnswer: 12*m*r**2*y**3 + 424*m*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 3*v + v - 72, -2*n + 20 = -2*v. Suppose -21 - n = -5*m. What is the greatest common factor of m and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 88559.37 months?\nAnswer: 737.99475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6*v - 5*v**2 + v**2 - v**3 + v - 5. Let b(h) = -h**3 - h**2 - h - 1. Let q(o) = -5*b(o) + c(o). Find the third derivative of q(r) wrt r.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 123\/7 - 78\/7. Is 6 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 5.6. Let w = -1 + u. Which is the smallest value? (a) 5 (b) w (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10370 by -5185.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 4 = 5*k - 7*g, -4*k - 3*g - 14 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nno?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1080277.\nAnswer: 11, 98207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6296\/6 - (-6)\/(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 49*s**3 + 19*s - 6*s**2 - 50*s**3 - 12*s = 0. What is s?\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002489506 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 1615960275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -71, -141, -221, -317, -435, -581?\n\"Answer: -z**3 + z**2 - 66*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 233459*o**4 - 54*o**3 - o**2 + 7693389 wrt o.\nAnswer: 933836*o**3 - 162*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k. Let h(r) = -173*r + 290. Give p(h(m)).\nAnswer: -346*m + 580","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 - 8)*(-x**2 - 5*x**2 + 4*x**2 + (1 + 2 - 4)*(4*x**2 - 4*x**2 + 2*x**2)).\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*y = y + 63, -y = 2*f - 21. Let r(a) = 3*a + 11*a + 0*a + 11 - a**2. List the prime factors of r(f).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 53 + (-74 - -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17\/(-36) + 2\/8. Suppose 2*d = -f + 46, -d - 39 = 3*f - 167. Let r = f + -85\/2. Which is the smallest value? (a) r (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(560) + -2*sqrt(1715))*-3)\/(-2*1*sqrt(112)*1))**2.\nAnswer: 405\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27429 and 173799?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 4033 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 k(c) = 3*c**2 - 8*c - 19. List the prime factors of k(9).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 69 in 0.04, -0.3, 0.56?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/248070 and 35\/988?\nAnswer: 122546580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 233?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 3, 0.16, 0.5, 78, -2\/45 in increasing order.\nAnswer: -1\/5, -2\/45, 0.16, 0.5, 3, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4 - 7 + 21 + 23*g - 10. Let b(t) = 2*t**2. Give b(p(i)).\nAnswer: 1058*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*l + 3)*(0*l**4 - l**4 + 0*l**4) - 2*l**2 + 2*l**2 - 3*l**5 + 561*l**5 + 35*l**5 - 175*l**5.\nAnswer: 416*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1622 = -j + 4*f, 3*j - 7*f + 3*f = 4842. Does 23 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47 and 4183?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/7)\/p)**(-47))**(-38) assuming p is positive.\nAnswer: p**(-16074\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3\/17 + 202*z**2\/17 - 46*z + 582\/17 = 0.\nAnswer: 1, 3, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q*s**4*v + 2*q*s**2 - 96*q*s*v + q*s - 120865066*s**3*v + s**2 - 14630*v wrt s.\nAnswer: -48*q*s*v - 725190396*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 8*k - 10. Suppose 2*j = 5*j - 21. Let v be f(j). Sort v, -4, 4.\nAnswer: -4, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -819?\nAnswer: 81a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3968 = -2*p, -9*h + 4*h = -5*p - 3940. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - i - 2)*(-3 + 2 + 0)*(-2*i**3 - 5761*i**2 - 22*i**3 + 5751*i**2).\nAnswer: -24*i**4 - 10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**2\/2 - 12*u + 2. Suppose 12*k = 2*k. Calculate f(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*f + 2*f - 46*f)*(0*f - f + 2*f).\nAnswer: -34*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*l + 0*l - 4*l)*(-1 - 1 + 1) + 0*l + l + 2*l)*(l + 0*l - 5*l).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d. Let r(y) = -1170*y + 25. Let p(n) = -97*n + 2. Let o(i) = 50*p(i) - 4*r(i). Calculate x(o(s)).\nAnswer: 510*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppjjppp. What is prob of sequence jpj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.508 and 7?\nAnswer: -31.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w. Let m(h) = 15035646*h**2. What is m(v(p))?\nAnswer: 15035646*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l - 117. Let d(j) = -2*j**2. Calculate d(a(z)).\nAnswer: -8*z**2 - 936*z - 27378","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/54*-3*3*-3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8*h**2 - 33*h - 34. Suppose 0*k - 30 = -2*k. Let d(t) = -55*t**2 - 230*t - 240. Let f(a) = k*y(a) - 2*d(a). Find w such that f(w) = 0.\nAnswer: -2, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxmx when four letters picked without replacement from rummmnnmqqnxxn.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 681301724 divided by -68\nAnswer: -10019143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence innn when four letters picked without replacement from {i: 2, n: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12929 - -6569. Round u to the nearest one hundred.\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nin when three letters picked without replacement from inininnitinninntini.\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6450756 (base 10) in base 14?\nAnswer: -bdcc04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 5:37 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 0.4, 4\/11, -3, -1\/3 in ascending order.\nAnswer: -3, -1\/3, -0.02, 4\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - p**2 - p - 13. What are the prime factors of y(-6)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -242 + -204?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(90\/(-48)))\/((-8)\/20*-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1026)\/(-95))\/27*(-1)\/(-2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*n + 6\/5*n**3 + 2\/5*n**4 + 4\/5*n**2 + 0 = 0. Calculate n.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -7. Suppose 3 = -3*t, 5*j = 2*j + 4*t + w. Let r = -924\/1079 + 20\/83. Which is bigger: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8)**(-47)\/(i\/i**(-4))**(3\/10) assuming i is positive.\nAnswer: i**(-755\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1134 by 1369.\nAnswer: 1134\/1369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/9))**(-3\/11)*(r\/(r*r*r**(-1\/8)\/r))\/r*r*r**(2\/7))**(-25) assuming r is positive.\nAnswer: r**(-9175\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -674 or -20904\/31?\nAnswer: -20904\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmgrmv. What is prob of picking 2 m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*w - 30*w + 2*w - 2*w + 16 - 102 as x*w + z and give z.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -9. Suppose -47 = -6*x + 2*x + g*y, -4*x - 4*y + 92 = 0. Let q = 13 + -9. Calculate the lowest common multiple of x and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-1\/2)))**(-3\/8)*(i**(1\/4))**(1\/3)*(i\/i**(-1\/3))**(-2\/19)\/(i*i**(2\/9))**46 assuming i is positive.\nAnswer: i**(-153467\/2736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 7*t**2 - t - 6. Let m be i(-4). Calculate the highest common divisor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbnppnpnafdbn. What is prob of picking 1 b and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.5 + -3. Let g = 0 + 0.1. Put l, g, -0.1 in descending order.\nAnswer: g, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19114 from -339959.\nAnswer: -320845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 8*x**2 - 8*x - 4. Let a(k) = k**2 - 7. Let t be a(4). Let i be r(t). Suppose 2*o = i*g + o - 20, -5*g = o - 10. Is 3 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 38190?\nAnswer: 114570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and 635.\nAnswer: -44.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 111895775 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: Let v = 2305 - -452. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -116 - 32?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 (base 4) in base 10?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 169? (a) 13\/5 (b) 0 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/10 - 13106635\/(-25). Let s be (48\/(-28))\/((-10)\/p). Let j = s + -266874. What is j rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4975010868?\nAnswer: 2, 3, 4943, 83873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*(2 + (sqrt(175) - (sqrt(175) + -1)))**2 + ((5*1*sqrt(175))**2 - ((3 + sqrt(175) + sqrt(175))*1)**2).\nAnswer: -60*sqrt(7) + 3680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 606 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 2*x**2 - 7*x + 7. Let g be 66\/(-55)*5\/2 - 1. Let l be u(g). Solve -d = 5*q - l*d - 21, -3*q = 3*d - 21 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4 + 14 = 3*f, y - 3*f + 14 = 0. Which is the second biggest value? (a) -3 (b) y (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -8. Let t = z - 3. Suppose t*w - 250 = 4*k, 3*w = -2*w + 5*k + 640. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-76)\/(-57)*(-54)\/(-8). Solve -9 = -4*r - 3*p, 5*r - 3*p + v = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 10*n + 9*n - 63572, 84793 = 4*b + 3*n. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/10)\/((-7)\/(-35)). Suppose -22 = -c + n*d, -3*c + 38 = -4*d - 28. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3. Let h be p*-1 + (38 - -5). Suppose -20 = -4*k, -h - 10 = -4*w - 2*k. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7038.673 centuries to years.\nAnswer: 703867.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*b - 28, -5*c = -0*c - 3*b - 52. What is the remainder when c is divided by (-2)\/(-1) + (1 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0, 0.4, -0.4, -117, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k**3*q**3 - 3*k**3*q + 2*k**3 - 34739*k**2*q + 3*k*q**2 + 8*k*q + 6*k + 739044*q**4 wrt q.\nAnswer: 18*k**3*q + 6*k + 8868528*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3230 (base 6) in base 12?\nAnswer: -516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 2*g, 2*a - 6*a - 4*g + 20 = 0. What is the greatest common divisor of 20 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-36)\/(-10))\/(2\/(-10)). Let d = -13 - r. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306 is divided by 53?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 164 and 9389.\nAnswer: 37556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (30\/12)\/(1\/2). Suppose x - 4 = 0, 2*t - f*x - 4 = -2. Let r = t - 15. Which is smaller: -6 or r?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/(-3*11\/(-132)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 plus 0.3351?\nAnswer: -9.6649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3741 = 9*x - 38436. Does 30 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 4 = -3*u + 3, -5*b = -2*u + 23 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 0, -32, 1 in increasing order.\nAnswer: -32, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + 4*r - 5*r)*(-6 + 2 - 2) in the form k*r + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzz when three letters picked without replacement from zjjzdzdjz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjeeeeerreeeeej. What is prob of sequence rj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4*c**2 - 5745100*c + 5745104 = 0.\nAnswer: -1436276, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96 + -93. What is the nearest to -2\/7 in w, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3164)\/17402 - 262\/(-11)*-1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 1. Let w be y(6). Suppose -4*p = -5*k - 5 + 23, -3*k + 2*p + 10 = 0. Sort w, k, -3 in increasing order.\nAnswer: w, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3020 (base 5) in base 9?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4533*t**2 - 34*t + 125. Let l be o(73). Round l to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 358105\/813 or 441?\nAnswer: 441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(32) - sqrt(2)) + sqrt(800) - (sqrt(16)\/((sqrt(8) - sqrt(72)) + sqrt(8)) - sqrt(16)\/(sqrt(32) - sqrt(8))))*3)**2.\nAnswer: 5202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3772413241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797 is divided by 7 + (12 - 10 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (1 + 11 - (-623 - -620))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 883285 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 5*i**2 + 5*i + 2. Let z be f(-4). Let a be 1\/z*18\/(-21). Sort -3, a, -1\/2.\nAnswer: -3, -1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tti when three letters picked without replacement from {g: 1, t: 2, z: 3, i: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.2 - 4. Let t = -0.1 + h. Let k = -252 - -2266\/9. Which is the closest to t? (a) 3\/2 (b) k (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*h + 29*h + 4322. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1*9))\/((-156)\/(-3510)*-45).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**4 + 10*u**3 - 135*u**2 + 540 = 0.\nAnswer: -6, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u - 101. List the prime factors of z(32).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311*s**2 - 168*s**2 - 171*s**2.\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63 by 6.\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -2b1de16?\nAnswer: -2b1de19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 7*b**3 + 6*b**3 + 4 to the form l + p*b**2 + q*b + m*b**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55332938 is divided by 50?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 318*s + 2271. Give l(-7).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 15 = 5*i, 9 = i + 2*l + 3*l. Suppose 0 = -b - 2*n + 16, -b - 1 - 13 = -4*n. Let s(w) = b*w - i*w**2 - 6*w + 3*w**2. Let t(y) = -7*y. Give s(t(h)).\nAnswer: -49*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3948*t - 534804 = 6520*t - 3946*t for t.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l = -5*f - 15*l + 36, -5*f + l = -32 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 at least as big as -52234\/813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99563152.\nAnswer: 2, 13, 17, 37, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.94 + 0.06. Let g = 2.69 - 3.69. Which is the third biggest value? (a) 6 (b) g (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/5143 + 344629\/61716. Let d = -251 - -250. Find the common denominator of 4*1 + ((-72)\/128 - d) and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17429146 divided by -20.\nAnswer: -8714573\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 1\/945*p**7 - 1\/180*p**6 + 0*p - 2 + 12*p**2 - 1\/27*p**4 - 1\/15*p**5 + 8\/9*p**3. Factor l(r).\nAnswer: 2*(r - 6)*(r - 1)*(r + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 - (-7 + 9 + 1 + -16).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -404?\nAnswer: 3\/404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 869 and 316.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, j: 3}. Give prob of picking 3 z and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 11:28 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in -5, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124322?\nAnswer: 2, 11, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04957 + 0.01957. Put 0.1, p, -48, -3, 0.5 in decreasing order.\nAnswer: 0.5, 0.1, p, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**5 - 5*r**5 + 0*r**5 + (r**4 - 2*r**4 + 3*r**4)*(-4*r - 2*r + 5*r) - 18*r**2 - 23*r**5 + 18*r**2.\nAnswer: -27*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 322643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1. Let d(y) = -11*y - 5. Determine -d(x) + 5*i(x).\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g + 5*z + 11 = 0, 0 = 3*g - z - 5. Suppose 0 = 2*c + 4*r - 53 - 7, -4*r - 96 = -4*c. Calculate the common denominator of c and g - (51\/10 + 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1767590276 and 4.\nAnswer: 3.8232409724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38417 + 79924. What are the prime factors of d?\nAnswer: 41507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 3, -5, 27, 2 in ascending order.\nAnswer: -14, -5, 2, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 320436 and 1104?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/30 - (-4)\/10)*6\/(-3). Put f, -74, -4, -5 in descending order.\nAnswer: f, -4, -5, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllqql. Give prob of picking 1 q and 1 l.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -9 (b) -1\/3 (c) -2.9 (d) -165 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -0.49, 11, -3, 5, -5, -8 in descending order.\nAnswer: 11, 5, -3\/7, -0.49, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 567 + -264. What are the prime factors of h?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 190 + -185. Let b(x) = x**3 + x**2 + 2*x + 1. Let p be b(-1). Suppose -3*c - 15 = -8*c. Put p, c, k in descending order.\nAnswer: k, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 76 = -2*p. Suppose -2*j + j = -p. Calculate the lowest common multiple of (-27)\/54 + (-46)\/(-4) and j.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 4. Let m(p) be the third derivative of -p**6\/60 + p**5\/60 + p**4\/24 + p**3\/6 - 4*p**2 - 4. Give m(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -3304929634.24703?\nAnswer: 3304929638.24703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (3 - (-3 + 4)) + (-1 - -8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5510 take away 0?\nAnswer: 5510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*n**2*p**3*w**2 - 2*n*p**2 + 3*p**3*w + 2*p**2*w**2 + 8*p**2*w wrt n.\nAnswer: 38*p**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1229*a**2*n**2 - 2*a**2 - 8*a*n**4 - 3*a - 9574 wrt n.\nAnswer: -2458*a**2*n - 32*a*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -27.3. Which is the third smallest value? (a) p (b) 1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 9:19 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 + 3*h + 1. Let w be t(5). Let d = 11 - w. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -23?\nAnswer: 1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 3:42 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4883 - -53807\/11. Is 9 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210742713 a multiple of 393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**3 - 3*r**2 - 4*r - 3. Let b be f(-1). Find the common denominator of 1\/21 and -3 + 908\/258 + b\/6.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -13*d**2 - 44*d + 80. Let b(f) = -3*f**2 - 11*f + 20. Let g(n) = -9*b(n) + 2*j(n). Let s be g(-15). Suppose 12*a - 10*a = s. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**4 - 35*a**2 - 373 wrt a?\nAnswer: -4*a**3 - 70*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 51854790 to the nearest 10000.\nAnswer: 51850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 786.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1, 0.1, 0.5, -0.06?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -38312, -38371, -38434, -38501, -38572, -38647, -38726?\n\"Answer: -2*t**2 - 53*t - 38257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -123226.32 and 7725237.\nAnswer: 7602010.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31.7 - -26.7. Let g = -0.1 + 0.1. Which is the smallest value? (a) 2 (b) g (c) s (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*l - 7. Suppose 0 = -4*d - 2*w + 90, -3*d - l*w + 14 = -53. What are the prime factors of d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + p**2 + 2*p - 5. Determine y(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.87 * -8.958\nAnswer: -7.79346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - 2 + 2 + (-7*o - 8*o + 0*o)*(0 + 1 + 1)*(0 - 4 + 2).\nAnswer: 61*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 7:39 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 8 = -8*x. Solve -3*s + x = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*(1 + sqrt(11))*2.\nAnswer: -30*sqrt(11) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -143, -193, -317, -551, -931?\n\"Answer: -6*j**3 - j**2 - 5*j - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191075*s + 191149*s + 3996 = 0 for s.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*(40 - (1 + 2)). Suppose 0 = -2*w + 7*w - a. List the prime factors of w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123 divided by 26667.\nAnswer: 41\/8889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 166 - -1270. Let d be p\/36 + 3 + 0 + 3. Let j = d + -1597\/45. Calculate the common denominator of 67\/4 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*(15\/5 - 17)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -175 (b) -0.216 (c) 5 (d) 0.5 (e) -4 (f) -22\/19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 1516 (b) -4 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2378 - -5?\nAnswer: 2382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from dddsddsdsddddsddddds?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 + 1275\/(-10))*-2?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -776*x + 1551*x - 775*x - 313*x**2 in the form h*x**2 + o*x + g and give h.\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 0.4, 13, -2\/17, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*i**3 - 1\/2*i**2 + 0*i.\nAnswer: -i**2*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*h**2*n**2*w - h**2*n*w - 6*h**2*n + 54*h*n - 28*n**2*w wrt n?\nAnswer: 20*h**2*w - 56*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -5\/28*q**8 + 0*q**2 - 5*q + 0*q**7 + 0*q**3 + 0 + 0*q**5 - 1\/12*q**4 + 0*q**6. Find the third derivative of w(u) wrt u.\nAnswer: -1200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 4*u - 70. Let v = -170 + u. Let g be (v\/7)\/(-5) - 4\/(-14). Solve g*p - 5 = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18756 divided by 20.\nAnswer: 4689\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**3 + 4*k**2 + 0*k**2 + 0*k**2 + 2*k + 7. Let f(d) = d**3 + 1. Let b(v) = -4*f(v) + w(v). What is the tens digit of b(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7779810 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*s**3 + 16*s - 16*s + (2 - s - 2)*(-3*s**2 + 8 - 8) + 3*s**3 + 0*s**3 - 2*s**3 in the form a*s**3 + l*s + f + v*s**2 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.039715 to 3 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1750 and 4886?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 495394.5?\nAnswer: 495397.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (147\/(-2))\/(21\/(-364)) - 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-8 - 3*i - i + 3*i)*(3*i - 7*i + i).\nAnswer: 6*i**2 + 48*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3920648 or -3920708?\nAnswer: -3920648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18057 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 767 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/435 in 1\/15, -0.2, -55, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/b**(-1)*b*b**(-3\/8)*b*(b*b**(2\/7)*b)\/b*b\/b**2 assuming b is positive.\nAnswer: b**(275\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143180 divided by 4.\nAnswer: -35795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a milligram in micrograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 1596*y - 3120. Let m(a) = 3*a**2 - 2396*a - 4676. Let r(c) = -5*m(c) + 8*u(c). Find t, given that r(t) = 0.\nAnswer: -2, 790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4503 divided by -377\nAnswer: -4503\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64788.798 - 64933. Let f = k + 0.202. Let s = f + 142.99. What is s rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 12480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 36*p**2 + 2291*p + 84197. Give r(-38).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 15*i**2 - i - 2. Let d be ((-8)\/10)\/((-12)\/(-30)). Let u be x(d). Suppose 4*l = l + u. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -0.8. Let r = 18 + -21. What is the second biggest value in -0.3, u, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*p = -70, -12 = -3*w - 2*p + 5*p. Suppose -w*c = -8*c - 7. What is the units digit of c - -8*(-4)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -53, -0.4, 0.5, 203, -5, -4, 7?\nAnswer: 203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6208091089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 17*r - 51. Let m be n(3). Suppose 28*p - 251 - 29 = m. Solve -3*c = 2*c - p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.403 - 890.064?\nAnswer: -889.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -7*z + 627. Let u(c) = 11*c - 1253. Let j(s) = -7*k(s) - 4*u(s). What are the prime factors of j(0)?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 9*t**3 + t**2 - 1. Let r(j) = 2*j - 5. Let a be r(3). Determine w(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9171 + -9167. Let p = -5 - -7. What is the fourth smallest value in -4, i, 1\/3, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 + 111. Let r be z\/(-8)*2\/(-3). Let n = r + -2. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.5 - -1.8. Let o = -0.5 - 0. Let i = o + y. Which is the smallest value? (a) -1\/2 (b) i (c) 0.4 (d) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635*2\/15*(-3)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 12, w: 7}. Give prob of sequence iiwi.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3818 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11626721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -1 + 203*z + 1047*z + 1 + 426*z. Let k(j) = 3*j**2. Give k(b(r)).\nAnswer: 8426928*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-4\/9))\/q**10)\/(q**(1\/3)*q**(3\/8)))**45 assuming q is positive.\nAnswer: q**(-3335\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24072 and 36?\nAnswer: 72216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 19*l - 13. Let p be i(2). Let c(b) = -4*b - 28. Let q be c(-13). Is q greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*8\/312*686\/(-1029)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 6. What is the second derivative of -2*x**2 + 3*x**2 + w*x**4 - x**2 + 2*x wrt x?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6 = 2*p, 3*f + f + 6 = 2*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5863028?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -1\/6 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 67?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -39. Let u(a) = 4*a**3 + 19*a**2 - 2*a - 24. Let n(k) = k**3. Let b(d) = -3*n(d) + u(d). Calculate the smallest common multiple of 10 and b(x).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -68, -98, -154, -242, -368, -538, -758, -1034?\n\"Answer: -v**3 - 7*v**2 - 2*v - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 901273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11130822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w**(-6)\/w)\/w)\/w**12)**45)**(-6))**(16\/9) assuming w is positive.\nAnswer: w**9600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76279, -76286, -76297, -76312, -76331?\nAnswer: -76354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujtuttttuwjuuuwtuuj. What is prob of picking 1 u and 2 w?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4 - 42\/(-12). Suppose 124 = -0*v + f*v. Let g = v - 17. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -918, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1425 and 8\/225.\nAnswer: 4275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 77897, 155804, 233711, 311618, 389525, 467432?\n\"Answer: 77907*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8612 + -5065. Let t = y + -35509\/10. What is the common denominator of ((-47)\/5)\/(4\/(-4)) and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.126 or 14\/1518357?\nAnswer: 14\/1518357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-150 - -74) - -47?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*s**3 + 0 + 0*s**2 + 0*s + 1\/3*s**4.\nAnswer: s**3*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -216915219 or -216915218?\nAnswer: -216915218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, 4, -231, 9\/7, -1\/2, 24 in descending order.\nAnswer: 24, 4, 9\/7, -1\/2, -3, -9, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 226507 (base 8) in base 6?\nAnswer: 1353023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*j - 28 = 22, 3*y - 4*j = 21. Let b(k) = 3*k**3 + 21*k**2 + 5. Calculate the remainder when y is divided by b(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1303 - 1302. Let u = -1.99 + -0.01. Let h = u + 2.3. Which is the third smallest value? (a) x (b) 4\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**3 - 9*h**2 - 4*h - 39. Let o(l) = -2*l**3 + 5*l**2 + 2*l + 20. Calculate -3*b(w) - 5*o(w).\nAnswer: w**3 + 2*w**2 + 2*w + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - q - 58, t + 3 = -q + 32. Let h = t - 20. Which is smaller: 6 or h?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -73, -149, -223, -295, -365?\n\"Answer: y**2 - 79*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 11*h + 5. Let y be u(-5). Let p be -1 + -1 - (y - -2). Let n = p - 24. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/3442 and 25\/97684.\nAnswer: 168114164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(76))*-2.\nAnswer: -4*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**3 - 2*w**3 - 5*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**4\/2 + 2394*q**3 + 28691*q**2\/2 - 2394*q - 14346 = 0.\nAnswer: -4782, -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 372729 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8*i*i**(-1\/2)*i**7\/((i\/(i\/(i*((((i\/(i**(-12)\/i))\/i)\/i)\/i)\/i)))\/i))**(22\/3) assuming i is positive.\nAnswer: i**(121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 362\/(-1267)*2*14\/(-16). Let d(m) be the second derivative of 3\/20*m**5 - 18*m + y*m**4 + 0*m**2 + 0*m**3 + 0. Let d(c) = 0. What is c?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((2 + -1)\/26). Let k = 56 + g. Suppose k*m + 5*h = 840, -5*m - 6*h + 7*h = -1021. List the prime factors of m.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 10, 8 in ascending order.\nAnswer: -5, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uceueumucuuuucumam. Give prob of sequence ua.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409645.\nAnswer: 5, 81929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - -1 - (6 - -1). Is 194 - t*4\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1060 - 658. List the prime factors of s.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 26*q**2 - 69*q + 6. Let b be x(23). Suppose 2 = 4*l - b. Solve 5 = -l*n + 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-114)\/(-14) + (-5)\/35. Solve 0*m - u = -4*m - 16, 3*u - w = 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.94 + 6.7206. What is l rounded to two decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3759)\/(-68915))\/((16\/20*(-15)\/6)\/10)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 1 + 7. Let v be (2 - -1)\/(2\/z). Suppose 0 = -g + v*g + 2*d - 16, 0 = -g - 3*d + 18. Solve 2*m - 8 = 8*s - g*s, -2*m = 3*s - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 371 - 370.8. Which is the nearest to -6? (a) 1.2 (b) v (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 27, 56, 107, 186, 299, 452?\nAnswer: 651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10833 (base 10) in base 13?\nAnswer: 4c14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a kilometer?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 734 (base 8) to base 11\nAnswer: 3a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2430 = 297*o - 303*o. Let z = -809\/2 + o. What is the third smallest value in 35, -2, z, -4\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 1\/30*z**5 + 0*z**3 + 1\/24*z**4 + z**2 + 1\/120*z**6 + 0 + 0*z. Determine y, given that r(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 9*a**2 - 22*a + 44. Calculate o(5).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.97798 + 1.27798. Let z be (8\/(-20))\/((-2)\/4). Which is the second biggest value? (a) -2\/25 (b) 3 (c) x (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4311, -4314, -4317, -4320, -4323, -4326?\n\"Answer: -3*w - 4308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/15)\/(2\/15)*-1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 113*c + 34. Let m = -319 - -325. What is the units digit of y(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 8:08 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 98\/28*(-12)\/21. Let f be 4 - ((-11)\/q - (12 - 9)). Let u = -8 - 8. Put 0.4, f, 3, u in increasing order.\nAnswer: u, 0.4, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56.51 - -59.6. What is n rounded to one decimal place?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugln when four letters picked without replacement from llllxtntxxutlulglt.\nAnswer: 7\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)\/c*c\/(c*(c*c**(10\/9)*c)\/c)*c*c)**1 assuming c is positive.\nAnswer: c**(-52\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**8\/56 + 37*y**7\/42 + y**5\/10 + 443*y**4 + 2903*y. Find the third derivative of c(z) wrt z.\nAnswer: 120*z**3 + 2220*z**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*r**3 + 139*r**5 + 3*r - 5*r**3 + 29*r - 13*r**5 - 4*r**2 - 3*r**4 wrt r.\nAnswer: 7560*r**2 - 72*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12\/3097 - -96535\/136268. What is the common denominator of g and 5\/72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 25*r - 19*r = 32, 0*s - 35 = -0*s - 5*r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -4.7. Put -5, 5\/2, t in descending order.\nAnswer: 5\/2, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3. Let u = t - -0.2. Let a = u + 0.8. Which is bigger: a or 2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 549*a + 90*a + 3173 + 34*a - 82*a wrt a.\nAnswer: 591","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 56*k**2 - 28*k + 1551. Determine g(56).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/20 and 39\/51290?\nAnswer: 102580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 = 0, 3*h = 15*r - 14*r + 10. Solve 8*k + h = 4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*q**2 + 52*q**2 + 51*q**2.\nAnswer: 131*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2678364 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*w = -47, -3*w = 5*v - 23 - 37. Suppose 3*h = -0*h + 9, x + 3*h = 4. Let q = v + x. Solve 0 = 4*o - 2*y + 12, -q*y - 18 = 5*o - 5*y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -106091*p**2*t + p**2 - 13*p*t - 40*t - 2 wrt p.\nAnswer: -212182*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65620, -4.6, -5 in descending order.\nAnswer: -4.6, -5, -65620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 81*t + 163. Let m be v(-2). Suppose -d - 3 = 0, 2*o + 4*d + 0 = -30. Let f = 14 + o. Solve q - 4*q = -4*i + m, 0 = f*q + 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/39)\/k**(33\/2))\/((k*k**(-2\/41))\/(k\/(k*k**(-2\/73)*k))) assuming k is positive.\nAnswer: k**(-4307101\/233454)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1479.9 - -1480. Put -389, -0.15, t in increasing order.\nAnswer: -389, -0.15, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 - 679740*g**2 + 38504552031*g - 77006385126.\nAnswer: 3*(g - 113289)**2*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 136011650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**2*w**2 - 554*i**2*w - i*w**2 + 49*w**3 + w wrt w?\nAnswer: 6*i**2 - 2*i + 294*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1*-1*(-219)\/(-9) and 47\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 15820208.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 13*m**2. Let z be u(13). Let b(w) be the third derivative of 2*w**2 - 2\/3*w**3 + 0 + 0*w**4 + z*w**5 - 1\/120*w**6 + 0*w. Calculate b(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 8*b**2 - 5*b + 9. Suppose 0 = 4*m - 3*c + 45, -21 = 5*m + 4*c + 12. What is the hundreds digit of a(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2613 a factor of 5273034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18599\/6 - 7666\/3. Let i = 545 - j. Which is the third smallest value? (a) -21 (b) i (c) -4 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0077314286 to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 21, 415, -3\/8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021318 rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 234534?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150352306 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.3? (a) 2 (b) 33 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2910 + 1357 + 577 = 346*k for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 27 = 5*w. Let r = 0 + -2. Let o = r + w. Calculate the highest common factor of 99 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3379059064?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from hlhhhlhlhhlhlhhhhh.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, -4.18, 0.06, 8, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6 + (17 - (19 + -3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**2 - 15*p - 10. Let a be 1702\/(-437) + (-8)\/76. What is n(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620552413?\nAnswer: 13, 47734801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 2:02 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a microgram in nanograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-130)*(-45)\/(-18). Suppose -2*b + p = -4 - 1, -2*b + 4*p = -20. Suppose b + 2 = r. What is the biggest value in r, -8, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - -3. Calculate the remainder when 27 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9355 is divided by 9010?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -1390*p - 19032. Determine r(-12).\nAnswer: -2352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhthhhtht. What is prob of sequence tth?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, v: 2}. What is prob of sequence xvx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 21*y**3 - 16*y. Suppose 0 = -4*v + v - 33. Let o(w) be the first derivative of w**4 - 3*w**2\/2 - 1. Give v*o(h) + 2*g(h).\nAnswer: -2*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 850, 833, 816, 799?\nAnswer: 782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 236*y**2 - 20759*y - 784. What is i(88)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19328 by 1208.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*6*(sqrt(252) + 4 + sqrt(252)) + -5)*6 + -2)**2.\nAnswer: 4644864*sqrt(7) + 47832064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 - 2*s**3 + 6*s**3)*(2*s**2 - 3*s + 3*s) + (1493*s**3 - 744*s**3 - 6 + s**4 - 698*s**3)*(-2*s - 4*s + s).\nAnswer: -s**5 - 255*s**4 + 30*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10089 + -6789. Is s a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*f = -5*m + 1980, -4*m + 3*f = -1588. Calculate the greatest common factor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 6 + 0)*(-3*h + 3*h + h + (-4*h + 3*h + 2*h)*(-2 - 3 + 6) + 4 - 3*h - 4 + 2150*h - 4547*h + 2036*h) to the form a*h + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + n + 1. Let j(g) = g**2 - 2*g - 2. Let r(y) = -i(y) - j(y). Let b(u) = 2*u**3 - 9*u**2 + 5*u + 10. Let l(m) = -b(m) + 3*r(m). Give l(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m - 19*m + 53*m = 2313. Is m > 1281\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*q + 9365 = -38*q. Suppose q = 6*z - 2327. List the prime factors of z.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177 - 37 + 7 - 29 - 4*n - 118.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2168*o + 7041 + 6715 + 14378 - 6454 = 0 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.257? (a) 0 (b) 166 (c) -1\/12 (d) 0.08 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -235 (base 12) in base 11?\nAnswer: -27a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 115.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -290\/81 or -3?\nAnswer: -290\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6*y + 2 = 3*y, -3*t - 3*y = -12. Let c(x) = -5*x + 90*x**2 - 44*x**t - 39*x**2 + 5. Let n(f) = -3*f**2 + 2*f - 2. What is 4*c(o) + 10*n(o)?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/7))**5 assuming m is positive.\nAnswer: m**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 8*b - 3. Calculate the common denominator of ((-756)\/(-8))\/b - 4 and 47\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyyy. Give prob of sequence yy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 16*l**3 - l**2 + 9 - 4 in the form n*l + s*l**2 + w + q*l**3 and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -614, -2518, -5700, -10166, -15922?\nAnswer: -22974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -15*d + 1. Let n(k) = 451*k - 3155. Let q be n(7). Let f(c) = c. What is q*r(l) + 6*f(l)?\nAnswer: -24*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**2. Let b(h) = -18*h**2 - 3*h + 20. Let z(t) = -17*t**2 - 2*t + 16. Let i(l) = 4*b(l) - 5*z(l). Give q(i(g)).\nAnswer: 676*g**4 - 208*g**3 + 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 12:03 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007643 to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, l: 3}. Give prob of sequence ll.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42293286?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1238*y**3\/13 + 2060028*y**2\/13 - 512*y = 0. What is y?\nAnswer: -1664, 0, 2\/619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 8, -13, -52, -115?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 328 - 107. Let f = 61 + z. List the prime factors of f.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 7\/120*p**6 + 0*p + 0*p**3 + 0*p**5 + 3\/4*p**4 + 0 - 3*p**2. Find the second derivative of x(l) wrt l.\nAnswer: 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/24)\/(2\/42). Sort -4, x, -2 in decreasing order.\nAnswer: x, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24214414 is divided by 1337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4198 less than 3068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -3*x + 5*x. Suppose -11 + 2 = -3*u, 0 = -5*a - 4*u + x. Suppose -4*y = -y + 4*n + 16, -2*n - 8 = -a*y. Solve -5*g - 10 + 0 = y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0413 + 57.\nAnswer: 57.0413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 1. Let s(i) = 3*i - 4. Let q(w) = 4*m(w) - s(w). Let c(d) = -d - 1 + 1. What is q(c(o))?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 - 12*q**3 - 3 + 50*q**3 - 2*q**2 - 22*q**3 - 22*q**3 + 6*q to the form g + w*q**2 + f*q + z*q**3 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323180 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + 6. Is j a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 - -2 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 40 = 2. Suppose -u*n = 11*n - 26. Suppose -4*f - n*a + 199 + 31 = 0, 50 = f + 3*a. Calculate the remainder when f is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 + 2061903153592.\nAnswer: 2061903153592.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165\/5 + 1 + 3 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1139\/2 + 616. Let x be -274*(-1)\/(-3 + (-7)\/(-2)). Calculate the common denominator of ((-4)\/24)\/(16\/x) and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 560 by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(684)*-6)**2 + sqrt(684) - sqrt(684).\nAnswer: 98496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 268599*j**2*r**3 - 14*j*r**3 + 10*j*r**2 - r**3 - 5*r**2 wrt j.\nAnswer: 537198*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 158681843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**4\/3 + 6670715*p**3 + 80048635*p**2\/3 + 33353605*p + 40024330\/3 = 0.\nAnswer: -2, -1, 4002433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9175?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d - 7. Let r be y(-2). Suppose -p + r = 2*p. Let i be ((-6)\/44)\/((27\/(-12))\/p). Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1339*-0.2\nAnswer: -267.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 275647.55 less than -5?\nAnswer: -275652.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2 + 23099560 - 23099560. Let p(n) be the third derivative of -n**4\/24 - 13*n**3\/6 + n**2. Calculate i(p(w)).\nAnswer: 3*w**2 + 78*w + 507","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -653301?\nAnswer: 653286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/3, -2\/63.\nAnswer: -2, -2\/63, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 929690102?\nAnswer: 2, 11, 19, 139, 16001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -13*m**2 + 15*m + 54. Let o be z(-4). Let v = -59 - o. Does 27 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 15*j**3 + 18*j**2 + 21*j + 48. Calculate o(-2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.4, -1.8, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18132 or -1\/495?\nAnswer: -1\/495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3 - 9 = 0. Let t(u) = u**3 + 4*u**2 - 2*u. Let b be t(c). Suppose j - 420 = -3*j. What is the highest common divisor of j and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x - 4 = -11 - 13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-13)\/(-65))\/(2\/(-5)). Let l(t) = -2*t + 5. Let r = 4 - 1. Let w be l(r). Which is greater: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*c**3*y - 5015097*c**3 + c**2*y - 973023*c**2 + 2*c*y - 2*y - 1 wrt c.\nAnswer: 36*y - 30090582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 - -1 - (4 + 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/58121 and 44\/665.\nAnswer: 290605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 10*x = 1560. List the prime factors of x.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -268 + 69 + 3*r + 6*r - r - 9*r as a*r + j and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 4*x**2 + 6*x**2 + 0*x**3.\nAnswer: x**3 + 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16927 - 11833. What are the prime factors of a?\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*i + 12, 3*i - 3*k + k - 8 = 0. Factor 1295 + 5754 - 2149 - 276*d**2 + 4620*d + i*d**3.\nAnswer: 4*(d - 35)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/7)*z**(-12)\/z)**10 assuming z is positive.\nAnswer: z**(-850\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iomy when four letters picked without replacement from {i: 1, m: 2, c: 3, o: 4, r: 1, y: 1}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(208) - (sqrt(208) + -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 261326*k = 261328*k + 251, -4*j = -4*k + 348 for j.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (3\/1 + (3 - -29)). What is the remainder when 41 is divided by (-725)\/z - (-8)\/28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((255\/(-10))\/(-17))\/((18\/96)\/(19\/(-28)))?\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7413 is divided by 214?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234852794 is divided by 560.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 379*r**3 + 2*r**2 - 2*r. Is c(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -4*-1*sqrt(288) + -5)*3)**2.\nAnswer: -3456*sqrt(2) + 41616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8274560 divided by 7?\nAnswer: 1182080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 97*u + 3874 - 7075 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 55058508.9?\nAnswer: 55058512.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 53 = -5*u, 2*y - 7*u + 2*u + 11 = 0. Suppose 57 = 3*p + 4*n - y, -4*p - 3*n = -97. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 242 (c) 1\/5 (d) -2\/11 (e) -21518 (f) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 172 + 248 = 0. Find the common denominator of -89\/2 and (g\/54)\/((-12)\/(-9)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -1716*q**2 - 7722. Let r(y) = -y**2 - 9. What is -k(f) + 858*r(f)?\nAnswer: 858*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000374587437 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1144916*a**5 - 1938523*a.\nAnswer: -22898320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -12. Let c be (-2)\/g + 60\/14. Solve -2 - c = 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 - 13*o + 136. Let w be c(13). Let h = w + -422. Calculate the highest common divisor of h and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1. Suppose -3*k + 0*k + 6 = w. Let z be (-10)\/(-8)*-2*(-52)\/143. Is k at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1870170528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1. Let i(q) = q + 2. Let v be i(-2). Let u = v + k. Is 1\/5 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 300*t**4 - 3*t**3 + 5237*t**2 wrt t.\nAnswer: 7200*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 21*z - 27. Let x be t(-22). What is the second smallest value in 0.2, 2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 2 (c) 3 (d) 100 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38118 is divided by 3313?\nAnswer: 1675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/15422652 and -23\/3855663.\nAnswer: 15422652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 9:16 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**3 - 12*u**2 + 393*u - 1540 = 0.\nAnswer: -28, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5567)\/(-66) + 52\/(-286). Let g = j + -251\/3. Factor -1\/2*x**3 - g*x**2 + 1\/4*x + 1\/4*x**5 + 1\/4*x**4 + 1\/4.\nAnswer: (x - 1)**2*(x + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 14*r + 46. Let s be h(-3). Solve 0*o - 8 = s*l - 5*o, -2*l - 4 = -5*o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.9 (b) 1\/27 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 2873298.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1031486760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + 53. Calculate the remainder when y is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 29 = 3547*h - 3551*h, 23*n - 28*n + 8 = -3*h for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1009, -0.0052, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1022)\/42)\/(1\/(-39)). Suppose -57 + d = 4*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/3, 1, -18?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3421268 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 19d?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5 = 4*f. Let x be (16\/(-20))\/((-1)\/5). Let z(w) = 3*w - x + 5 + 3*w. Calculate z(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1459*y + 48 = -1451*y. Solve -y*z - 43 = -49 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/70 and 69\/56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -8*f - 23. Let s be p(-6). Let q(y) = -10 - s*y - 9 - 2. Is q(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-2) - (2 + 2). Is -2\/19 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42339*y**4 + 166*y + 1 wrt y.\nAnswer: -508068*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**7\/840 + v**6\/72 - v**4\/6 - 3*v. Let i(t) be the third derivative of h(t). What is the second derivative of i(c) wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 33835, 135321, 304461, 541255?\n\"Answer: 33827*z**2 + 5*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 286277760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5110 - 4440 = -10*u. Let p = -144 + 286. Let o = u + p. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -32. Let a be (3 + -3)*1\/y. Suppose 0 = -a*k + 3*k - 24. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 10*r - 66. Let o be i(7). Solve 0 = -m - o*g + 14, -m + 2*m = g - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(-8*d - 285 + 285)*(6 - 2 + 0).\nAnswer: 64*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14432 and 1893298.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**2 - 68 + 602*z + 4*z**2 - 602*z - 5*z**2 as h*z + f*z**2 + v and give v.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/6, -0.5, 3\/34, 2\/3?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) + 2*sqrt(28))*2)\/((2*sqrt(8) - sqrt(8))\/sqrt(2)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(22*m - 23*m + 7 + 7)*(6*m - 3*m - 2*m)*(4*m + 8*m - 5*m).\nAnswer: -7*m**3 + 98*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 8. Let q be (10\/l)\/((-2)\/6). Let s = -0.1 + 0.2. Which is the biggest value? (a) 2 (b) q (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 371981994 to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/4 - (-1)\/2. Let k = 222 - 214. Solve z = v*z + k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 - b + 855. Let n be p(0). Let k be 228\/n + 2\/(-3). Let r = 0.8 + 2.2. What is the closest to k in -2\/17, r, 5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(1\/12)*l)\/l)\/(((l*l**8*l)\/l)\/l)*(l\/l**(-2\/13))**(-1\/56))**(-2\/81) assuming l is positive.\nAnswer: l**(17335\/88452)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/432 and -29\/9970560?\nAnswer: 9970560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16*(-20)\/5760)\/(2\/9).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 12:31 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2 - 20*v**4 + 0*v**3 + 16*v**5 - 34*v + 2*v**3 + 34*v = 0.\nAnswer: -1\/4, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 - -3.98. Suppose -q + 4*w + 5 = 22, 13 = q + 2*w. What is the nearest to 0 in l, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnx when three letters picked without replacement from junbsjsx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 806791812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 + 1396\/(-8))*(-2)\/3?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 639 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 2. Suppose 5*z + 4*x = 45, -3*z - 10 = -x - 37. Suppose w*y - y - 4*h + 9 = 0, -y + z = -2*h. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 12*k + 16 = 16*k, -5*k + 30 = -5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-56)\/(-102) - 10\/(-85). What is the nearest to n in -1, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/9)\/((-10)\/(-30)). Which is the biggest value? (a) 2\/3 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104953 is divided by 194?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22691.3 - -22691.34. Let m(z) = z**3 - 4*z**2 + z + 4. Let i be m(3). Which is the closest to 0.1? (a) -2\/7 (b) -2\/13 (c) i (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r - 100. Let b be u(22). What is the lowest common multiple of (-9)\/b + 1085\/20 and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 707 by 7.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10201210000 (base 3) in base 11?\nAnswer: 50219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 9*c. Let k be f(2). Calculate the highest common factor of 27 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(57)\/sqrt(3) + 2 - (3 + 2*-3*sqrt(19)).\nAnswer: -1 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4366163, -8732307, -13098463, -17464637, -21830835?\nAnswer: -26197063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1620.7891 rounded to 1 dp?\nAnswer: -1620.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**6\/1260 - c**5\/210 - c**3\/6 + 4*c. Let d(u) be the second derivative of p(u). Factor d(o).\nAnswer: 2*o*(o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43 - -40) + (-15 - -21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**4\/2 - 178*f**3 + 23763*f**2 - 1409938*f + 179. Determine l, given that r(l) = 0.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**24*r*r**(1\/2))\/((r\/(r**(17\/5)\/r))\/r**(-18)) assuming r is positive.\nAnswer: r**(109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 3\/11327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2582842 months in centuries?\nAnswer: 0.0018819035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 196343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*i = -858, i = 2*p + 2*i + 858. Suppose 0 = -f + 578 + 144. Let t = f + p. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/30*(2240\/28)\/16?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = m - 508, -2*m + 4*u + 8 = -990. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*m - 2477 = 1163 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 176657258 or 176657255?\nAnswer: 176657258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.025? (a) -4.2 (b) 1\/4 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35.8 - 35.8336125. Let a = -0.0866187 - s. Let n = a + 0.053. What is n rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 10. What is the units digit of (6 + a - 8)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 143*a**2 - 73*a + 7859. Let v(b) = -214*b**2 + 113*b - 11789. Let w(f) = 8*j(f) + 5*v(f). What is the derivative of w(h) wrt h?\nAnswer: 148*h - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 3*v + 1545, -2*v = -10*g + 13*g - 926. Calculate the least common multiple of 12 and g.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 271 - 267. Let h be 5\/(-1) - 515\/(-105). What is the third biggest value in d, 4\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 60*x - 167. What is k(57)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**5\/4 - 57*a**4\/4 - 177*a**3\/2 - 207*a**2 - 162*a = 0.\nAnswer: -9, -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (1 - 221*121309). Let h = 18061369 - a. Let s = h - -4517919. What is s rounded to the nearest one hundred thousand?\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*b + 148*b = 0. Suppose -2*j + 0*j = 3*a + 15, a + 5 = b. Solve i + 1 - 6 = j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -7. Let v be -1*6\/18 - (-8)\/(-84). Which is the second biggest value? (a) v (b) 0 (c) 3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 261*n**5\/5 + 3*n**2\/2 - 638*n - 1647. Find the first derivative of v(f) wrt f.\nAnswer: 1044*f**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6594 is divided by 75?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -2*c + c + 12996 - 12949, 770 = 19*c + c + 5*r for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**2\/2 - 5. Let w(u) = -4*u. What is w(c(n))?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -o - 3 + 6 - 2*o**4 + 0*o**2 + 3*o**3 + 0*o**3 + 2*o**2 as d*o**2 + z*o + u + b*o**4 + k*o**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.569 - -0.619. Which is the nearest to n? (a) -18 (b) 0.1 (c) -3 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(22)*-1)\/(sqrt(8)\/sqrt(4)*-1))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 7*p**2 + p - 2. Let w be y(-3). What is the greatest common factor of w and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t - 1 + 1)*(-26*t - 13*t + 31*t) to the form w + l*t**2 + j*t and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (-8 - (17 - (-7 + 96) - -17))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 17 = -15. Let h be v\/6*30\/4. Suppose 0*u - 5 = -u + i, 0 = -4*u - 5*i + h. What is the remainder when 14 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 - p - 4. Let c be s(-5). Let z = 2\/49 + 4945\/98. Let u = c + z. What is the second smallest value in u, -12, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/7 - 608026*g\/7 + 92423904169\/7.\nAnswer: (g - 304013)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16980 and 1525936?\nAnswer: 22889040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 4*j - 243, 5*k - 3*j + 0*j = 434. Suppose -n = -2*n + k. What is the highest common factor of n and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/5)\/o*o)\/(o\/(o**(-1\/12)*o))*(o*(o\/(o**(1\/6)\/o)*o)\/o)\/(o*o**1))\/(o**4\/((o*o**4*o)\/o)*((o**4*o)\/o*o)\/(o\/o**2)) assuming o is positive.\nAnswer: o**(-81\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, w: 2}. Give prob of sequence rwr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 1377777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 305 + f62?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b00 - -3?\nAnswer: b03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 divided by 68?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 12:17 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udadu. What is prob of sequence uua?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3496 and 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -41954, -41997, -42040, -42083, -42126?\n\"Answer: -43*j - 41911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 7\/204, 0.06?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/4)\/((-3)\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((23 - 10 + 11)*(-2*p - 4*p**2 + 2*p) + 10*p**2 + 17*p**2 - 10*p**2)*(p + 1 - 1).\nAnswer: -79*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 + 38*l**2 + 35*l + 37. Calculate the remainder when 56 is divided by s(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/6 - 0)*6. Let c be (8\/10)\/(2\/30). Suppose c = i*z + z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 6 - (-18)\/4*16236\/22. Are p and 9943\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 + (-584)\/(-16))*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtmmylzm. Give prob of picking 1 z, 1 t, and 1 l.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/93)\/(4\/6)*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 154 = 7640. What are the prime factors of r?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 212, 192, 146, 62, -72, -268, -538, -894?\n\"Answer: -2*k**3 - k**2 - 3*k + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1. Let t(v) = 8*v**2 - 1 + 2 - 7*v**2. Let u be t(1). Put -5, u, o in increasing order.\nAnswer: -5, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22415947, 44831883, 67247819, 89663755, 112079691, 134495627?\nAnswer: 156911563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(343)*-2 - -2*(sqrt(7) + 2 + sqrt(7))) + (sqrt(847) + -2 + 0 + sqrt(847) + sqrt(847) - 4*(-1 + sqrt(847))) + -5)**2.\nAnswer: -1326*sqrt(7) + 18376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a17a48 (base 12) to base 14.\nAnswer: -499492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 18\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4812.\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 5, -1, -10, 21, -36 in decreasing order.\nAnswer: 21, 5, 1, -1, -3, -10, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32269058579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*f + 3. Let l = f + -6. Which is bigger: l or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/2*(0 + -1). Let j be 8959996\/14 - k\/7. Round j to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 8) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20574, -20570, -20542, -20478, -20366, -20194, -19950?\nAnswer: -19622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**4 - 11 + 78*l - 42*l + 2*l**4 - l**2 - 35*l + l**3 in the form u*l**4 + n*l + m*l**2 + j + b*l**3 and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -31, -2 in ascending order.\nAnswer: -31, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 81. Suppose -2*a + u = 6. Is 4 a factor of 30\/35*(a + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.5, -3\/7 in ascending order.\nAnswer: -0.5, -3\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0438 - 3.6562. Let i = u - -2.7. Let o(c) = c**2 + 7*c + 7. Let v be o(-6). What is the closest to v in -5, 16, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by -2936753?\nAnswer: -27\/2936753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1988911\/305 - 6521. Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 39462494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 (base 10) in base 9?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**5\/5 + 62*f**4\/5 + 106*f**3\/5 - 302*f**2\/5 - 348*f\/5 = 0.\nAnswer: -29, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 8*q**2 - 6*q - 5. Let n be s(7). Suppose 47 = 3*d + 4*a, -d = 4*d - n*a - 61. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/((-2)\/(-1)*-1). Let v = 13 + -13. Let d = m - v. Solve 11 = -3*f + d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3245 + 5?\nAnswer: 3254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 849 and 2139197?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 374, 375, 376, 377, 378, 379?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 9*t**2 - 34*t - 13. Let q be u(12). Suppose -8*w = 3*w - q. Let p = 11 + -7. Solve -p = -5*l + w, -6 = m - 5*l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 10033*h + 236. Let u be n(1). Calculate the greatest common divisor of u and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -32*x**2 + 39*x + 896. Give p(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m = -20*m - 6*m. Let l(y) = -2*y + 15. Let v be l(0). Solve m*d - v = 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1168)\/(-438)*3\/1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2391 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*(n\/n**(-1))\/n)**(-42)*(n**(1\/5)\/n)\/n**(-2\/9) assuming n is positive.\nAnswer: n**(-5696\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -10*o**2 + 2*o + 59. Let c(h) = 6*h**2 - h - 39. Calculate 8*c(q) + 5*f(q).\nAnswer: -2*q**2 + 2*q - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/727 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -84, 2\/3 in decreasing order.\nAnswer: 2\/3, 0.2, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 91 = -2*y - 93, 0 = -8*r - 2*y - 38 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2544420 divided by -254442?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/2326 and 44\/9.\nAnswer: 20934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-15) + 2\/10. Suppose o*h + h = 4. Suppose -c = -3*z + 15, -4*z + c = h*c - 7. What is the second smallest value in -0.1, z, -1.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12131 and 196?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 3*j + 5*j)*(j + 6*j - 5*j) + (-j + 0*j - j)*(-15*j + 58*j + 89*j)*(-2 + 3 + 2).\nAnswer: -788*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1151*i**2 + 4*i**4 - i**4 - 1130*i**2)*(3 + 4 - 2) to the form x*i + p + z*i**2 + k*i**4 + b*i**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 8:13 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u - 45. What is w(-7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 6*o**2 + 6*o - 11. Is 5 a factor of g(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -114689*n + 114693*n + 12, -12 = 3*y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*l - 10*l + 6*l)*(-2*l**2 - 3*l**2 + 3*l**2) + (-5 + 0 + 3)*(0*l + 0*l - 2*l**3).\nAnswer: 32*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -312 - -550. Let k = 237 - l. Let x = 1037\/171 - 73\/19. Which is the biggest value? (a) 3 (b) x (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 2)\/(1\/((-172)\/(-4))). Let l = r + -39. Solve 0*z - z = l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + 2 - 1\/(-1). Which is the third smallest value? (a) -0.07 (b) -2\/13 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565443048 to the power of 1\/3, to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -281\/61087 + 6\/481. Let t = 775\/1651 - f. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(52)\/sqrt(4))**2 + 0 - (sqrt(468) + (-2*sqrt(468))**2 + -4).\nAnswer: -1660 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -39*g + 115. What is n(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6629.\nAnswer: 7, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*b - 159, -4*b - 9*a + 216 = -7*a. Suppose 24*w - 41 = b. Solve w = -5*f + 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 6*s**2 - 10*s - 6. Let f be t(-4). Suppose -o - 176 = -6*o + 2*m, -5*m + 82 = f*o. What is the greatest common factor of o and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 14) in base 6?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -130 - -135. Suppose 0*c - 1346 = i*c + 4*m, 5*c + 5*m + 1350 = 0. Let x = c - -411. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 19*s = 3570. Let z = s + -599. Let d = 0.03 - 24.03. Put -2, z, d in decreasing order.\nAnswer: -2, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.38 or 2\/13?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -869, -1590, 639, 8626, 25179, 53106, 95215?\n\"Answer: 468*m**3 - 1333*m**2 + 2*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 6*y + 11. Let i be j(5). What is the hundreds digit of (i + -7 + 33)*87\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 3*g**5\/20 + 5*g**3\/2 + 475*g**2\/2 + 7*g - 3. What is the derivative of h(a) wrt a?\nAnswer: 9*a**2 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469167 equal to 1469159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 3347, 46, 4, -0.3 in increasing order.\nAnswer: -2\/3, -0.3, 4, 46, 3347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 2745?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0032231 to 5 dps.\nAnswer: -0.00322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one quarters of a hour?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87*p + 97*p + 30. Let z = 0 - -5. Let r(s) = 0 - 1 + z*s + 1. Determine r(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 953571 to the nearest integer?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from gywctyb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30825, 30542, 30263, 29994, 29741, 29510?\nAnswer: 29307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(2 + -5) + 3. Suppose -k*n + 3863 = 3*s, -n = s + 3*n - 1293. Suppose m - s = -2*d + 4*d, 2*d = 4*m - 5134. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.694, 14, 2, -2, 1\/4, -0.4 in increasing order.\nAnswer: -2, -0.4, 1\/4, 2, 6.694, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -127956.6 rounded to the nearest 1000?\nAnswer: -128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 9. Let z be c(9). Solve z*i = 4*i + p + 7, 4*p = 5*i + 35 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**5\/60 - l**4\/24 - 5*l**2. Let g(w) = 2*w**2 + w. Let j(q) = g(q) + h(q). Let d(t) = -5*t. Calculate j(d(p)).\nAnswer: 25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k. Let f(h) = h**3 - h**2 + 3. Let u be f(0). Let i(b) = -4*b - 3. Let j(a) = 11*a + 8. Let y(t) = u*j(t) + 8*i(t). Determine y(g(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6508*u - 5841*u - 23345 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 3:20 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 2, e: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*y**4 - 120*y**4 - 114*y**4 + (-6 + 6 - y**2)*(-1 + y**2 + 1).\nAnswer: -200*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - 3*n + 1. Let m(f) = f**2 - f + 1. Suppose -3*p = -5*l - 0*p + 5, 0 = l + 3*p - 1. Give l*r(c) - m(c).\nAnswer: c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 208704.8 - -55\nAnswer: 208759.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9797004?\nAnswer: 2, 3, 7, 12959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*r**2*u**4*x + r**2*u**2 + 9*r**2*x + 19*r*u**4 + 13*r*u**2 + 3*u**3*x wrt u.\nAnswer: -72*r**2*u*x + 456*r*u + 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, u: 3, g: 5, d: 6, n: 2}. Give prob of sequence eggn.\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 15 - -11) + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 213371446 divided by 2269909\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 205876 by -1.\nAnswer: -205876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -4 + 5 + -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42079 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -191275.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**2 + 2*p. Let t be (-32)\/(-14) - ((-8)\/28)\/(-1). Let y(v) be the second derivative of -20*v**4\/3 + 55*v**3\/6 + 39*v. Give t*y(r) - 55*d(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/56*-4 - (-4236156)\/252 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 8*y**2. Let p(f) = -4*f**3 + 27*f**2 + 4*f + 3. Let b(l) = 3*c(l) + p(l). What is b(-3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114859, 114547, 114211, 113839, 113419, 112939, 112387, 111751?\nAnswer: 111019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 9126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 0*j**3 + 0*j**2 - 1\/4*j**4 - 4*j - 1. Find the first derivative of d(m) wrt m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -13*t**2 + 5*t. Let h(p) = -78*p + 235. Let c be h(3). Let f(j) = -j**2 + j. Calculate c*l(z) - 6*f(z).\nAnswer: -7*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 25 + 12*x**2 - 16*x**2 to the form h + c*x**2 + a*x and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22*(-2)\/(-10)*(-55)\/(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2. Let v be (-2)\/(-4)*(0 - r). Let s = 1 - v. Which is smaller: -2\/9 or s?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120 - 97) + (-1 - (-3 - -12))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 114450 and 1896600?\nAnswer: 13276200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 1:57 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 9:26 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -1\/120*h**6 - h**2 - 1\/60*h**5 - 1\/24*h**4 + 0*h + 0 + 0*h**3. Let o = 0 + -1. What is g(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35.083 + 0.083. Let k = z - -35.0000332. Round k to six decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**3\/6 - 5*h**2 - 5*h. Let s be m(9). Is s < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1062*p - 864 = -990*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10221211 (base 3) to base 12\nAnswer: -1804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 4:04 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 203609000 to the nearest 1000000.\nAnswer: 204000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/510 and -31\/940.\nAnswer: 47940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258045075?\nAnswer: 3, 5, 53, 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p. Let c be k(-3). What is the second derivative of 2*i**3 - 4*i**3 - c*i + 5*i wrt i?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 3 + 7 - -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 11. Is w\/2 - 42\/(-7) - -140 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -392.3736 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 213.37458 milliseconds in minutes?\nAnswer: 0.003556243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + m - 114 = -33, -141 = -3*s + 5*m. Let l(o) = -s*o + 80*o - 37*o. Let z(x) = -6*x + 1. Let g(i) = -4*l(i) - z(i). Determine g(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -8*l**2 + 40*l + 6. Let w be 17 - (8 - 21) - 19. Let g(a) = 15*a**2 - 79*a - 11. Calculate w*o(t) + 6*g(t).\nAnswer: 2*t**2 - 34*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/8)\/(z\/z**(3\/5))*z\/z**(-2\/5)*z*z*z**14 assuming z is positive.\nAnswer: z**(133\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -2 + 0 + 4. Let l be (-2 + 1)\/b*1. Let u be l - 288\/(-3 + 1). Calculate the highest common divisor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 97, 4, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 6:37 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 1\/3, -0.1 in decreasing order.\nAnswer: 1\/3, -0.1, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 - 69. Find the second derivative of 69 - 14 - 1758*x - 15*x**k + 1759*x wrt x.\nAnswer: -90*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 150 = 4*c, 3*w - 31 - 59 = -2*c. Calculate the remainder when 118 is divided by w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -66, -104, -168, -258, -374, -516?\n\"Answer: -13*q**2 + q - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -7*y + 5. Let i(a) = -20*a + 14. Calculate -5*i(f) + 14*k(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 30*i - 290. Let z be q(40). Determine b so that z*b**2 + 118*b**2 - b - 227*b**2 + b**3 - 1 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2045592 + 0*w + w**3 + 4*w**2 - w + 2045591. Give i(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 134\/14*49\/70 and -3 - -2 - 11\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-4)*68*3\/(-9). What are the prime factors of q - -1 - (0 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 146 and 657?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**8)**(-8\/3) assuming o is positive.\nAnswer: o**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 7)*(0 - 3 + 0)*((-5 - 9 + 0)*(3 - 2 + 5) + 3 + 1 - 5 + (-5 + 4 + 0)*(3 - 2 - 2))*(-4*u + 2*u + 4*u).\nAnswer: -3024*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*j - 100, 0 = 353*s - 350*s + 3*j - 195. Solve 77*w = s*w + 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 324076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 78 = -4*n, 18*n = 2*h + 21*n + 77. What is the smallest common multiple of 10 and -2*3\/12*(-5 + h)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/(-6)*(-5037768)\/3486. Calculate the highest common divisor of r and 72.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4*z**2\/7 + 920868*z\/7 + 22098528\/7 = 0.\nAnswer: -230193, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/(-14))\/((-24)\/1596). Let i(j) = -111*j - 1. Let p be i(1). Let l = z + p. Solve -4*y = n - 3*n - l, 5*y - 10 = 4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1*sqrt(170)*6)\/(sqrt(80)\/(sqrt(16)\/sqrt(2))) - (-4 + (sqrt(833)*2*-2)**2))*2.\nAnswer: -26651 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (9 + -12 - (-11 + 1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -628920 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 72*r - 1261. Let s be k(-30). Which is bigger: -41\/19 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, h: 3, u: 2}. Give prob of sequence hh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 2*r + 0 + 1\/6*r**4 + 0*r**2 + 1\/3*r**3. Find the second derivative of y(j) wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + w + 2*w + 9 - 6*w - 9 + (-2*w - 3*w + 3*w)*(180 - 230 - 89) + 31*w + 9 - 9 to the form j*w + d and give j.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94355 is divided by 9378?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -49998*t - 12. Let s be q(6). Round s to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 15. Suppose -3*y + 5 + 18 = g*s, 24 = 4*y - 4*s. Which is greater: y or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54177, -215770, -485085, -862116, -1346857, -1939302?\nAnswer: -2639445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s = 205. Let z = s + -6. Calculate the remainder when z + (-2 + 2)\/(-3) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12883\/12 - -6449\/6. Let l = 17\/6 - 7\/3. Factor 0 + 0*r - 3\/4*r**4 - f*r**3 + l*r**2.\nAnswer: -r**2*(r + 2)*(3*r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 224? (a) -3\/7 (b) 0.049 (c) -1\/2 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -391*p*s - 2*p - 59 wrt s?\nAnswer: -391*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 30*j - 237. Give t(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 24*x - 26*x + 13*x. Which is bigger: -9.827 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 16*o - 31. Calculate the remainder when 62 is divided by w(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170 = -35*w + 40 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + b - 12 = 0, -4*b + b - 9 = 0. Suppose 0 = 4*s - 5*i + 7, -2*s - 2*s - i = -11. Solve -a*q + s = -3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 41*b + 16.\nAnswer: 41*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*v**3 + 390*v**3 - 47982*v + 47982*v - 197*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 1862580324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) - (sqrt(80) + (-2 + -2*sqrt(80) + sqrt(80) - sqrt(80))).\nAnswer: 2 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -25. Calculate the common denominator of 107\/10 + 2\/5 and 556\/40 + l\/15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20005 + -19941. What is the remainder when o is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - (1 - (0 - -1)). Calculate the highest common divisor of y and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*z - 20 - 31 = 0, 5*w = 3*z + 114. Suppose -74*d + 1615 = w*d. Let m = 625 - 438. What is the highest common divisor of d and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 270 and 405.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y\/(y**32\/y*y*y))*y)\/y)\/y**33*(y\/(y\/(y\/(y**(-10)*y)*y)))\/(y*y\/((y**(-7)*y)\/y)))**(-45) assuming y is positive.\nAnswer: y**(-135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.067174 + 314.442826. Let t = 313 - i. Round t to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 2 - 32\/(-2). Let l = -12198 - -12214. Calculate the highest common factor of p and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/12 + 13768\/32. Let c = t - 616. Let i be c\/4*40\/(-6). What is i rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5*r + 26, 6*r + 50 = 5*x + r. Let v be (-3)\/x + 11\/2. Suppose 38 - 38 = 4*k. Solve -v*i + 5*z = 20, k = -0*i + i + 2*z + 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 81*i - 18. Give t(9).\nAnswer: 711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 15*x**3 - 12*x**2 - 2*x**3 - 8*x**3.\nAnswer: 2*x**2*(x - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 48*k + 17. Is t(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 - 2 - (-91 - -118 - 45).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 35, 76, 5, -1\/2?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339425243 a multiple of 5583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 6*k**2 + k - 38. Let j be h(-7). Let u be j\/35*(-160)\/(-64). Which is the nearest to 1? (a) u (b) 1\/3 (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2155*t**2 - 12*t - 2153*t**2 - 6*t + 77 + 5*t.\nAnswer: 2*t**2 - 13*t + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6028*j**6 + 4*j**4 + j**2 + 531*j - 75 wrt j?\nAnswer: 723360*j**3 + 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -523794 to the nearest ten thousand.\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -43?\nAnswer: 17\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + 46)*12\/(-18)*18474. Round v to the nearest 10000.\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27, -50, -167, -324?\n\"Answer: -20*i**2 - 17*i + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10595368 divided by 56\nAnswer: -189203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or 4\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11\/12 + -7\/6. Which is the closest to -4.2? (a) -2 (b) o (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)\/(sqrt(2)*2) - sqrt(22)) + sqrt(22) + sqrt(110)\/sqrt(45))\/((-1*sqrt(88)\/sqrt(8) - sqrt(11))*-6) + 0.\nAnswer: 5*sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 29*q - 9. Suppose 2*j = -5*d + j + 139, 86 = 3*d - 2*j. What is the least common multiple of d and z(2)?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - w. Let n be i(2). Let z be (-2 - 1) + 12 + n. Let j(v) = 2*v**2 - v - 3. Calculate j(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + -28 + (-2 - 0) + 9 - 5.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -47\/19?\nAnswer: -47\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -2 + 0*a**2 - 7\/3*a**3 - 6*a. Let i(v) = -8*v**2 - 7. Let m(c) = -6*i(c) + 7*u(c). Calculate m(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -116, 110, 672, 1570, 2804, 4374, 6280?\n\"Answer: 168*o**2 - 278*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 8*n**2 - 5*n - 23. Give f(-7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9\/20, -0.3, -5\/3 in descending order.\nAnswer: 3, -0.3, -9\/20, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12002 less than 43276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 78629231413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**5\/25 - 21*z**4\/10 - 139*z**3\/15 + 18*z**2 - 4359. Let u(p) = 0. Calculate p.\nAnswer: -4, 0, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/2)\/((-110)\/30 - -6) - -72?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n. Suppose 0*w + 7 = 4*w - z, 2*w = z + 5. Let f(b) = -b. Give w*r(p) - 2*f(p).\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -62.1, -5\/177 in descending order.\nAnswer: -5\/177, -0.1, -62.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(4\/706) + 2 + -3. Let j = 368 + c. What is the highest common factor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1403666746?\nAnswer: 2, 577, 1216349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f*h + 348697*f*q**3 - 15*f*q**2 - 311*h**3*q + 3053*h*q**3 wrt h?\nAnswer: -2*f - 933*h**2*q + 3053*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -50 - 20. Let b(k) = k**3 - 13*k**2 - 13*k + 2. Let t be b(i). Suppose 5*a - 39 = t. Calculate the highest common factor of 99 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -13, -2680, 0, -61 in decreasing order.\nAnswer: 1, 0, -13, -61, -2680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.13 + 13.03. Let l = 2\/99 - 8\/33. Let p = 1.09 + -1.1. What is the closest to c in l, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wwwwwddcwcccccwcw?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/70*24620\/(-96018).\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 3 - (8 + -1 + -11). Suppose d*t - 15 = -t. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160714739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 84*b**4\/5 - 8006*b**3\/5 + 454*b**2 + 19142*b\/5 - 2698 = 0.\nAnswer: -71\/42, 1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41266, 41598, 41938, 42286, 42642, 43006, 43378?\nAnswer: 43758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**2 - 41*a + 2. What is the units digit of n(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 263*m**4*x - 3*m**4 + m**3*x - 2*m**2 - 17*m - 11865*x wrt m.\nAnswer: 6312*m*x - 72*m + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75 - 15. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 15?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17 * -35653.\nAnswer: -6061.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -213335240 + 1?\nAnswer: -213335235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.1 - 4. Let w = 3.0459 - 0.0459. What is the second smallest value in 0.03, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*q - 179, 2*q + 14 - 12 = 0. Suppose 47 = -2*z + r. What is the smallest common multiple of z and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-1) - (-3)\/(-3). Let r be (1 - (3 + -1)) + 3. Suppose u = -r*b + 2 + 4. Are -1 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + -48 + 88 + -15?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 7, d: 1, l: 3, c: 1}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, 138, 0 in descending order.\nAnswer: 138, 8, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36*y**3 - 7*y**2 - 920 wrt y.\nAnswer: 108*y**2 - 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 0*i**5 + 0*i**4 + 0 - i - 2*i**2 - 1\/10*i**6 + 0*i**3. Differentiate m(a) wrt a.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-2) - 0\/3. Suppose 0 = f*b - p - 38 - 17, -3*p = 5*b - 154. What are the prime factors of b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34675\/149 or 234?\nAnswer: 234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26573510 is divided by 3537?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002508477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 a, and 1 n when four letters picked without replacement from {n: 4, h: 7, a: 3}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -306 (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3698541 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 462 - 365 - (-2538)\/(-26).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 136.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -670376*m**4 + 36*m**3 - 14174*m**2 + 227 wrt m?\nAnswer: -16089024*m + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 437 and 2291168.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 51861 to the nearest 1000.\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059046.1 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6749?\nAnswer: 17, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 981.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 3574.842 and -100166.\nAnswer: -96591.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 1:40 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 799 or -2\/41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31347\/189)\/43*7.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - -1.96. Let i = 40 + -45. What is the third smallest value in 0, i, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.55417 + 53.55217. Let f = g - -0.002. Let m = 55 - f. What is the second biggest value in -4\/3, -2\/7, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-446278)\/(-18) + (3 - (-377)\/(-117)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 96*a**2 + 336*a - 3136.\nAnswer: 4*(a - 4)*(a + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*(-3 + sqrt(192) + -3*(sqrt(3) + 0) + 4)**2.\nAnswer: -912 - 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/308*(-108)\/27.\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16968 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*i**3*k**2 + 244*i**2*k**2 - i*k + 3*i - 4*k**2 - 70 wrt i.\nAnswer: 210*i*k**2 + 488*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2120 (base 3) to base 16\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -395\/2 + 9293\/46. Let p = 227\/138 + a. Let m = p + -7. Calculate the common denominator of 93\/10 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2301.98971 - -2302. What is f rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -3. Let o = 0 + 0. Let s = 66.8 + -68.8. Which is the nearest to -0.2? (a) o (b) r (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2840627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41469.\nAnswer: 3, 23, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -138, -371, -696, -1095, -1550, -2043, -2556, -3071?\n\"Answer: 3*h**3 - 64*h**2 - 62*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 + 67. Let z = 9.55 + -4.55. What is the second biggest value in 2, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2724383 is divided by 664?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 2*l - 3*g, 3 = g + 2. Let y be (-1382)\/(-42) - (-5 + (-309)\/(-63)). Solve y*m - l*m + 16 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67444 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from {m: 2, l: 7}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*w, -3*r + 14 = -0*w + 4*w. Suppose w*a - 6 = 4*a. Let c be 7 + a\/(-2 + -1). Solve 0 = -2*j - 2*j - c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-13)\/3)\/(-2 + (-646)\/(-324)). Suppose 7*l + 2*l = -q. Calculate the common denominator of l\/(-12) - 2\/(-4)*-1 and 35\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73\/8 + -413\/40. Sort v, -0.1, 7 in decreasing order.\nAnswer: 7, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - l = 23274, -2*s + 46536 = -258*l + 254*l. What is the greatest common factor of s and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from {t: 2, f: 1, b: 1, a: 1, l: 1, v: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.94 + 0.06. Which is the closest to 3? (a) -4 (b) r (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 19*p**2 - 10*p - 16. Suppose 0 = 7*d - 103 + 138. What is the units digit of r(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*y = -20241 + 10378 - 17531 - 16279 for y.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 435\/1595*(-110)\/(-90).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54688 is divided by 1764.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-10)*4\/1. Suppose 4 = 2*n, -16 = 5*s + 4*n - 2*n. Let i be -1 + 2 + (5 - 3). Put s, i, h in decreasing order.\nAnswer: i, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -255*n + 484 - 247*n - 245*n - 484 as f + r*n and give r.\nAnswer: -747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 568.\nAnswer: 2272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -260.836954 and 5.\nAnswer: -255.836954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 564, 486, 288, -84, -684?\nAnswer: -1566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/7)\/(-4))\/(((-36)\/(-7))\/4)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opo when three letters picked without replacement from oopwopo.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**5 - 126*c**4 + 1623*c**3 - 4896*c**2 - 17340*c = 0. What is c?\nAnswer: -2, 0, 10, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 246 divided by 1\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -21 - 70) + -6 + 13 - (-9 + -1)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7184958.\nAnswer: 2, 3, 11, 108863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 4*j + 28, -2*k - k = -5*j - 2. Suppose -120 + 45 = -5*l. Let i = l + 0. Solve 5*w - 2*x = -15, k*w + 3*x = 4*x - i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -5209657.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -482, -1139, -1942, -2885, -3962, -5167?\nAnswer: -6494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + 8*a**2 - 15*a**2.\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2 - 248600*l - 248598 = 0. What is l?\nAnswer: -124299, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.863382 years to millennia.\nAnswer: 0.003863382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86.15 - 8.75. Let o = s + 95. Which is the nearest to -3? (a) 4 (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 2*q)*(0 - 2 - 1) + (0 + 1 + 0)*(0*q - q - 2 + 10*q))*(-3*q**2 + q**2 + 12*q**2).\nAnswer: 150*q**3 - 20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-10)\/k**14*(k**(1\/4))**(-2\/7) assuming k is positive.\nAnswer: k**(-337\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -b0e (base 15) in base 6?\nAnswer: -15305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/3692 - -567\/3692. Which is the closest to 4? (a) -0.5 (b) t (c) 3 (d) 7.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*y**6))\/y*y*y*y*y**(25\/4)*y assuming y is positive.\nAnswer: y**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 20*m**2 - 14*m + 18. What is p(19)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*d = 237 - 43 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + 90. Suppose 1190 = 5*u + 2*f, -20 = -j*f + 33*f. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.67354 litres to millilitres.\nAnswer: 23673.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 262 - -301244818.\nAnswer: 301245080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5\/3*c**5 + 0 + 5\/3*c**4 + 100\/3*c - 5\/3*c**2 - 35*c**3 = 0.\nAnswer: -5, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - 35*s + 9. Give g(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -2\/11, 12?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -760*f**3 + 1320*f**3 - 3 + 3.\nAnswer: 560*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 185 + 635 = 0. Let y = i + 83. Let q be 17\/y*4*2. Solve q = -3*k + 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 2036*l + 518162.\nAnswer: 2*(l - 509)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/5*(-20)\/(-8). Is 11 a factor of 3*16\/a + 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -13. Let y = -11 + 22. Let h = y - 15. Which is the third biggest value? (a) -0.5 (b) h (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 87 = -13*a. Is a < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/54*(23\/((-19320)\/16))\/(104\/65)?\nAnswer: -1\/216","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1618*u**2 + 1618*u**2 + 543*u**5 + (-2*u + 3*u + 0*u)*(-4*u**4 + 2*u**4 + 0*u**4) + u**5 + 0*u**3 + 0*u**3 + 0*u**4 + 0*u**4 - 3*u**5.\nAnswer: 539*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/2843 - -2825\/25587. Suppose 5*r + 3*o + 1 + 7 = 0, 4*r + 24 = 2*o. Which is the nearest to 0.2? (a) u (b) -3\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 0. What is the remainder when 18 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 - 3*t**2 + 5*t**2)*(-51*t + 50*t + 24*t)*(6*t - 23 + 23).\nAnswer: -138*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 540\/329 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3179 - -3178. Let t = -0.27 + -0.03. Which is the nearest to 1\/5? (a) y (b) 3\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l - 18. Let u be t(12). Suppose 0 = 2*f - 5*f + u. Suppose -4*g - 12 = i, 2*i + 2 + 4 = -f*g. Solve v + i = -1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*12\/(-80)*3225\/(-43).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 28*h - 189. Suppose 4*x + 215 = 3*c + 603, -3*x = -5*c - 280. Suppose -6*p - x = -h*p. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 608 - 606. Which is the nearest to 1? (a) -2\/3 (b) -1 (c) n (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -102410000 to the nearest 1000000.\nAnswer: -102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*u**3 - 702*u - 605*u**2 + 5*u**3 + 78*u + 599*u**2 in the form n*u**2 + r*u**3 + w*u + z and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 1:00 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 3, -504, 4.\nAnswer: -504, -1\/2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/5 + 4*j**2 + 98*j\/5 - 52.\nAnswer: -2*(j - 13)*(j - 2)*(j + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -11. Let u(l) = -l - 4. Let j be u(c). What is the second biggest value in j, -0.2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 4*r + 2 + 26 = 0, -24 = 5*u + r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.1 plus -83854309?\nAnswer: -83854329.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 491*r**5 - 124*r**3 - 50*r**2 - 29167*r - 1267.\nAnswer: 9820*r**3 - 744*r - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, p: 4, t: 12, r: 2}. What is prob of sequence rnp?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 - -27.5675.\nAnswer: 28.2675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(119)*-1 + sqrt(119))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19950930 rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by -221020.\nAnswer: -27\/221020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*z**5\/5 + 9596*z**4\/5 + 590523*z**3\/5 + 30258*z**2\/5.\nAnswer: z**2*(z + 123)**2*(39*z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*n + n. Solve n*p = p + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*g = 12, -5*l + g = -226. Suppose y = x - 1 + 13, 4*x + l = 3*y. What is the remainder when -62*5\/2*2\/x is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923.\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a week in hours?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -710.\nAnswer: 12\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7110 = -6*s + 2262. List the prime factors of s.\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/q**(-5))**(-36))**(-14))**(-24))**(3\/11) assuming q is positive.\nAnswer: q**(-217728\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -125.\nAnswer: -125.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 18*t + 2. Let p be c(-19). Let l = p + 19. What is the greatest common factor of 14 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -236*h - 30685. Give n(-133).\nAnswer: 703","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 376852 and 915212.\nAnswer: 6406484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42952971?\nAnswer: 3, 47, 304631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - -2. Is ((-48)\/(-56))\/(3\/u) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36988873 rounded to 2 dps?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 7*a. Determine q(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002423207 rounded to six decimal places?\nAnswer: -0.000242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 12735.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.87 + -7.87. Which is the biggest value? (a) 1 (b) -5 (c) 0.3 (d) -1\/11 (e) v\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m**3 - 17*m**2 + 2*m + 9. Let l(b) be the first derivative of -5*b**4\/2 + 25*b**3\/3 - b**2 - 13*b - 14. Let n(f) = 7*c(f) + 5*l(f). Determine n(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0.6. Let c be (1\/4*(-17 + 21))\/(-3 + 0). What is the nearest to -268 in c, 0, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3223308 to the nearest integer?\nAnswer: 1795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22282354751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1012486.\nAnswer: 2, 17, 97, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8610 (base 13) in base 12?\nAnswer: -a923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1268133 and -0.0442.\nAnswer: -56051.4786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101 + 86. Let u be (1*(1 + 0))\/(-1). Let f be (-3)\/(w*u\/2). Which is the closest to f? (a) -0.4 (b) -3\/4 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a - 749. Let c(k) = k - 284. Let o(u) = -8*c(u) + 3*d(u). Calculate o(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -212 and -3.69051.\nAnswer: -215.69051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/14 and 67\/35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140 + 40842*m**3 - 40843*m**3 - 416.\nAnswer: -m**3 - 556","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 1. Suppose 0 = -g - 2*g. Suppose g = -y - 0 + 2. Let c(k) = 2*k + 3. Let p = -1595 + 1600. What is p*z(x) + y*c(x)?\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 11*x**2 - x + 15. Suppose 0 = -4*t + 27 + 17. Let b be v(t). Suppose -26 = b*k - 9*k + 3*g, 20 = 5*k - 5*g. Solve k = -u + 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -27158.\nAnswer: -8\/13579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 2136305.\nAnswer: 3\/2136305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 55*q - 40. Determine g(2).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1038a77 (base 12) to base 14.\nAnswer: -59a64b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8017068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**5\/5 + 17*l**4\/4 + 29*l**3 + 127*l**2\/2 + 56*l + 602. Factor u(i).\nAnswer: (i + 1)**2*(i + 7)*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13183 (base 13) to base 15.\nAnswer: -a76d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4 - 5*j**3 - 2*j - 13*j**2 + 15*j**2 - 6 + 3. Let h be r(1). Let m(o) = 3*o - 3 - 7*o + 3*o. Determine m(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -532 = -3*j - 5*p + 634, -5*j - p + 1936 = 0. What are the prime factors of j?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2789824, -2789822, -2789810, -2789782, -2789732?\nAnswer: -2789654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 962693848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2116.6288 - 2115. What is y rounded to 2 decimal places?\nAnswer: 1.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-4))\/(27510\/154056).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 399461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*y + 6*y + 3*y)*(-2083 + 24 + 71) to the form z + m*y and give m.\nAnswer: -5964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*k = -5, -6*b + 2*b + 13 = 5*k. Let y be (-5294)\/(-9) - b\/9. Let a = y + -8241\/14. What is the common denominator of a and 31\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(-w - 2*w + w) + 3 - 3 + 3*w + 2*w - 3*w + 4*w + 0*w + 2*w - 3*w + 0*w - 2*w + w + (0 + 0 + 2)*(-w - w + w) + 0*w + 4*w - 2*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/5)*t)\/t)**(2\/29)*t**(-5)\/((t\/(t**(-14)\/t*t))\/t) assuming t is positive.\nAnswer: t**(-2757\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*m = 22, 0*v + 2*m = 2*v - 28. Let i be 2 - (-2 + 7*-12). Suppose v*o - 15*o + i = 0. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*z**2 - 1156 + 2257 - 1180 as l*z + d + t*z**2 and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (154*k**2 - 147*k**2 + 496*k**2)*(2*k**2 + 180 - 9*k - 180) in the form c + i*k**3 + y*k + g*k**2 + x*k**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000079116 rounded to 7 dps?\nAnswer: -0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 12*r - 3*r + 16*r + 2. Let w(j) = -j - 48. Let l(f) = -f - 56. Let q(o) = 6*l(o) - 7*w(o). Give q(p(k)).\nAnswer: 25*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427070 = 49*j + 425943 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 101 = -16*p, p = 18*j - 16*j + 4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7582? (a) -2 (b) 0.2 (c) -3\/5 (d) -1.1 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 + 7*m - 5. Calculate q(7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.014 less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/18 + 16\/(-72))*2. Let l be 1\/y - (-9 + 53\/(-2)). Solve -3*f = 4*a - l, 2*a + 4*f + 5 = 7*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 1271 = 3*y, -w - 3*w + 824 = 2*y. Let l = -419 + y. Which is the third biggest value? (a) 1 (b) l (c) -4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (-2*sqrt(539) + -5 - sqrt(539))*3 + 4)**2.\nAnswer: 1134*sqrt(11) + 43740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/((-28)\/252)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from {h: 1, e: 3, n: 4, d: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-168 + 171)\/((-3)\/(-7321))?\nAnswer: 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137792195 times -0.3\nAnswer: 41337658.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 2*u + 4. Let h(y) be the second derivative of y**4\/4 - y**3\/3 + 5*y**2\/2 - 2658*y. Give -4*g(z) + 3*h(z).\nAnswer: z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z - 1821. Let u(f) = 6*f - 1820. Determine -9*l(w) + 8*u(w).\nAnswer: 3*w + 1829","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53270942 - 0.046.\nAnswer: 53270941.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**3 - 2*u**2 + u. Let j be t(1). Suppose c = -j*g + 56, 3*g - 6 = 4*c + 17. Let r = g + 10. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1 + sqrt(448) - sqrt(448)) + 3 + 1 + 4)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d**3 - 95*d**2 + 130*d - 2240. Give q(16).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -17*b**2 + 27*b - 82. Calculate v(5).\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 4:17 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 4. Let f be 22*u\/40 + 2. Sort 4, -2\/3, f in descending order.\nAnswer: 4, f, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 168*(-1)\/((-10)\/5). What is the highest common divisor of 42 and w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -29, -64, -113?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -627 (base 10) to base 15\nAnswer: -2bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, d: 4, h: 1}. What is prob of sequence gdhg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14677 + -0.025096971.\nAnswer: 14676.974903029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1495*f - 2 + 2 + 1563*f + 1502*f + 1506*f + 0 - 6064*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -126 + 123 + -11 + 2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.99753708 + -107.49?\nAnswer: -109.48753708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 4 + 5)*(38 - 7*v - 38)*(3*v + 3*v - 13*v).\nAnswer: -245*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -50*m + 67. Is o(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 11:46 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 631\/426 + 4\/213. Factor 0 + 3\/2*f**4 - 3\/2*f - 3\/2*f**2 + v*f**3.\nAnswer: 3*f*(f - 1)*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -11426\/4511?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*v + 15. Let w = v - 3. Let j be -4*3\/(-12)*2\/1. Solve -j*z - w = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -6*x - 20. Let s = -101 - -50. Let v = 55 + s. Put -4, v, x in descending order.\nAnswer: v, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -5. Suppose -g - 13 = -3*s. Sort s, 0, 2 in decreasing order.\nAnswer: s, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 - 41. Solve n*y - 4*y - 4 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 5 = -11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -5*b**4\/4 + 5*b**2\/2 - 7. Factor k(h).\nAnswer: -5*h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, -9, -113, -259?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/8 - 12\/(-16)*2658. Suppose 0 = 2*v + 4*g - 1350, 0 = 21*v - 18*v - 2*g - n. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -970*u - 12 = -958*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 798 by 6.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 776667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66195132 > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 86355.17 millennia in centuries?\nAnswer: 863551.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7170 is divided by 175?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-4)\/88 - (-82328)\/2761?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -323, -63 in descending order.\nAnswer: 27, -63, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 173*h - 5610. Determine r(-29).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 117*z**3 + 3*z**2 + 48*z - 141. List the prime factors of p(5).\nAnswer: 3, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7416\/44 - ((-498)\/(-66) + -7). Solve 7*w + 17*w + q = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13347 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -140762 > -140763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42086 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20823392059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -28*k**2 - 5*k - 3. Let i be x(-6). Let y = i - -1921. List the prime factors of y.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 (base 11) in base 15?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 - 2*o**2 + 2*o - 11. Let q(m) = 10*m**3 - 11*m**2 + 11*m - 55. Let a(n) = -11*b(n) + 2*q(n). What is the first derivative of a(r) wrt r?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 206187337*s + 240004425 wrt s?\nAnswer: 206187337","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1060 = -218*v + 112*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 170\/34 - (2\/10 + 508\/60)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-15)*(-2 - (-3)\/(2 - 1)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7453009 to the power of 1\/3, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/9630 and -163\/1405980.\nAnswer: 1405980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10101111011101010011101 (base 2) to base 13\nAnswer: -1263c1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 + -32. Suppose 2*f - 265 = -3*f - 5*z, -f + g = 5*z. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (181*l - 75*l - 94*l)*(4 + 2 - 4 + (-1 + 2 + 1)*(-1 - 1 + 1) - 2 + 1 + 3 - 2 + 2 + 1 - 1 - 5 + 4 - 1 - 2 + 1).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 8*p. Let t(y) = y**2 + 2*y - 1. Let u be t(-3). Suppose -u*r + 4*r + b - 10 = 0, -r + 5*b = 17. Solve p = l - 6 + r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 4365*v + 530079. Calculate a(125).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1.7. Let l = -0.4 - o. Which is the smallest value? (a) 0.5 (b) l (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 26*r. Suppose 0*p + 4*p + 3*y - 44 = 0, 2*y = p. Let l(f) = -5*f + 9*f - 7*f + 0*f + p*f. Determine l(i(v)).\nAnswer: 130*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 14*t**2 + 14*t - 7. Let h(i) = -i**3 - 3*i**2 - i - 1. Let l be h(-4). Let c = l - 34. Is 8 a factor of z(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 - 684*g + 347*g + 339*g - 2 + g**2 to the form j*g**2 + s*g + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 2a0b?\nAnswer: -2a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13.7, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.736 + -11.5. What is s rounded to 2 dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/20 and -31\/27365?\nAnswer: 109460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 13*q**2 + 14*q + 4. Let f be x(14). Suppose 4*v + 9 = v. Let l = 7 + v. Is f greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2254*s + 2258*s. Let r(o) = -3 - 5*o + 8*o**2 + o - 2*o + o**3. Calculate the remainder when r(s) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 268594 and 276.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 2 + 6*q - 3*q + 3*q - 2 + 2 + (2*q + 0*q - 4*q)*(-2 + 4 - 4).\nAnswer: 9*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83 + -153. Let l = b - -34. Let y be l\/(-45) + (-31)\/(-5). Solve 1 + y = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -31*m**3 - m - 1. Suppose 4*j - 19 + 29 = -3*p, 2*j + 8 = -3*p. Determine z(j).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -j + 26, 779*j + 5*f + 45 = 781*j for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 14. Let g be d(7). Suppose g*o - 72 = 3*o. Solve 5*h = 4*x + o, -6*h + 2 = 2*x - 3*h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151691?\nAnswer: 17, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 13*a**2 + 6*a - 15. Let x be z(11). Suppose n = -4*o, -n = -o - 3 - 2. Does 15 divide 5\/20 - x\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 80914*i + 5583120. Give x(-69).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 25*c - 45*c + 546 = 0 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2314 (base 6) to base 4\nAnswer: 20212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1707678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 184*m**5 + 2*m**4 - 80*m**2.\nAnswer: 11040*m**2 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 1100101?\nAnswer: 1100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8, -189, -372, -535, -672?\n\"Answer: r**3 + r**2 - 207*r + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**6\/360 - 11*m**4\/12 - 3*m. Let r(s) be the third derivative of p(s). Let f(z) = -5*z**2. Determine r(f(q)).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 37. Let h be ((-8)\/(-126))\/(-3 - (-231)\/78). Let s = -10\/7 - h. What is the third smallest value in 0.3, l, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -7. Let j = -0.04866 - -428.96866. Let s = 429 - j. Which is the nearest to -2? (a) 0.4 (b) s (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-9) + -854*(-8)\/(-36). What is the units digit of (c\/(-57))\/(1\/27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 130*o - 6*o**3 + 3*o**3 + 131*o in the form k*o + h*o**3 + b*o**2 + i and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -2*p - 2*o - 73, 4*p - 3*o = 17. Solve -12\/5*d + 6\/5*d**p + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1850)\/550 - 60\/(-165)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 75468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 885.805 and -0.2.\nAnswer: -177.161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 13*c + 187. What is n(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540355*v + 5168 = 540203*v for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -794 and 0.0347?\nAnswer: -27.5518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/4601 + 529339\/257656. Calculate the common denominator of s and (-4)\/14 + (-387)\/(-56).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (14 + -8)) + -14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 5*n**6\/3 + 51*n**5\/10 + 17*n**4\/4 - 2*n**3\/3 - 3*n**2\/2 + n\/2 - 2. Find m such that d(m) = 0.\nAnswer: -1, 1\/5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268010 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -69405b (base 13) in base 14?\nAnswer: -48cab5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -14*l. Let d(v) = -14252 + 14252 + 486*v - 79*v. What is 3*d(y) + 88*h(y)?\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, y: 1, k: 4, n: 11}. What is prob of sequence nniy?\nAnswer: 11\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, t: 2, v: 2, s: 9, j: 3}. What is prob of sequence tjj?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2023 - -0.0023. Let a = -1.6 - -3. Let u = s + a. What is the second biggest value in 1\/2, -2\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**16*h*(h*h**6)\/h*h*h*h**(-5)*h**(2\/29) assuming h is positive.\nAnswer: h**(582\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gggpggppggpggg?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 55285.1072 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1189 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1163 + 1159. Let t = 0.9 - 0.6. Let r = t + -0.5. Which is the nearest to r? (a) u (b) 5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4) - (-1 - (-58)\/(-4)). Let p(r) = 2*r**2 - 21*r + 95. Let y be p(x). What is y rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 r, 1 i, and 1 k when four letters picked without replacement from {k: 1, e: 1, r: 2, i: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*a**3 - 3)*(0*a**2 - 2*a**2 + 3*a**2) + (1 + 3 - 5)*(28*a**5 + 139*a**5 - 485*a**5).\nAnswer: 316*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((112\/5)\/7)\/(-84*(-45)\/(-1350))\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 55\/(-15)*(-64 - 2). Calculate the highest common factor of c and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 - -1 - (74844\/147)\/66. Let t = 0.8 - 0.5. What is the nearest to n in t, -0.3, 9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/18351 and 107\/4896.\nAnswer: 9982944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, c: 2}. What is prob of picking 3 d and 1 c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91399864?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - (-96)\/20)*1. Let w = 31\/45 - u. Do w and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - 4*i + 4*i + (i + i - 3*i)*(2*i + 0 + 0) + (-2*i + 2*i - i)*(20*i - 22*i - 28*i)*(-5 + 5 - 2) as r*i**2 + j + b*i and give r.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 719202 and 23472138.\nAnswer: 258193518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 76, 155, 232, 307, 380, 451?\n\"Answer: -p**2 + 82*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6258, 14180, 22102, 30024?\n\"Answer: 7922*j - 1664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070 a factor of 41842980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20\/3 in 1, 1\/7246, -2\/5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-30420)\/(-54))\/169*-1*(-72)\/10\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from rrreeereerreerrrrrr?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 11:27 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0 (c) 1 (d) -15 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182215 = 45*y + 54955. Suppose 8*z = -y - 812. Which is bigger: z or -454?\nAnswer: -454","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 950.5778us?\nAnswer: 0.0009505778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/53956 - -53953\/161868. Solve 2*j**2 - 32\/3 + u*j**3 + 0*j = 0 for j.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 84.9 - 84.9. Let q = 1.5 - 1. Let r = 1 - 0. Which is the nearest to r? (a) t (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43903.03 rounded to the nearest 100?\nAnswer: 43900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 130670346 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -580804*z**6 - 89222*z**2 - 5*z - 2 wrt z?\nAnswer: -69696480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4058704891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20817 + -10430. Is f a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -185*d**4 - 197*d**5 - 940*d**3 - 642*d**2 + d**5 - 515*d**4 + 62*d**2 - 16 - 160*d.\nAnswer: -4*(d + 1)**3*(7*d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p - 45 = 24 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2 + 335*g - 6562. Give x(22).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 0.4 (c) 395402 (d) 112 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4099, 5887, 8867, 13039, 18403?\n\"Answer: 596*u**2 + 3503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -343*a**4 + 619*a**2 wrt a?\nAnswer: -8232*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 130416*z + 64896 + 3\/2*z**4 + 132291\/2*z**2 + 627*z**3.\nAnswer: 3*(z + 1)**2*(z + 208)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(((-25875)\/46)\/(-25)))\/((-12)\/10)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 5*m**8\/336 - 283*m**7\/210 + 511*m**6\/15 - 196*m**5\/5 + 2*m**2 - 485*m + 2. Factor a(x).\nAnswer: x**2*(x - 28)**2*(5*x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**3 + 9*b**2 + 3*b + 5. Let g = 52 - 27. Suppose 5 = -4*h + g. Let p(j) = j**3 - 4*j**2 - j - 2. Calculate h*p(z) + 2*m(z).\nAnswer: -z**3 - 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 6*b**2 - 22*b - 3. Let m be c(9). Suppose -2*d = -5*d - 2*f + m, 5*d - 5*f = 70. Calculate the highest common divisor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 28.1. Let i = z - 32. What is the smallest value in i, -0.4, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/169? (a) 5 (b) -1\/46 (c) 2 (d) 14 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**5 + 560*t**4 - 25964*t**3 + 425296*t**2 - 1057008*t = 0.\nAnswer: 0, 3, 38, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 5*y - 5. Let s = 12 - 16. Determine r(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 545031538*a*f*k**2 - 2*a*f*k + 749*f*k**2 - 44235*f*k + 1 with respect to a.\nAnswer: 545031538*f*k**2 - 2*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d**2 + d. Let w be t(-1). Let f be (-86)\/w - ((-25)\/5)\/(-15). What is the third derivative of 49 + 6*n**2 - 98 + f*n**4 + 49 wrt n?\nAnswer: 336*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55640 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*v + 71, -5*m - v = 4*v - 80. What is the units digit of 57\/m - (-1)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l - 5. Let u be f(3). Let r be 312\/(-9) + u\/(-3). Round r to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*w = -w. Is -3 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26\/(-14) - (7 - 9). Which is the second smallest value? (a) 5 (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8633450 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -308 + 2529. List the prime factors of a.\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1986 and 35417.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*sqrt(100)*-2 - sqrt(100))\/(sqrt(98) - sqrt(98)*3).\nAnswer: -15*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 82992 divided by 24\nAnswer: 3458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 35, 33, 33, 35, 39?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-22))\/(51\/(-68)). Is x less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -105 less than -105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(121)*6)\/sqrt(11))**2*-5.\nAnswer: -17820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9102, 18214, 27334, 36462, 45598?\nAnswer: 54742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*t + 8, -3*f = f - 4*t + 28. Let b be (-7564)\/12*f\/4. Let a = -314 + b. What is the common denominator of a and -85\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127*r**4 - 65*r**4 + 1736*r - 50 - 23*r**3 + 57*r**3 + 50 wrt r?\nAnswer: 744*r**2 + 204*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 6:56 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -76216 + 7775?\nAnswer: -67331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 47 = 5*p, 13 = -p + 3*v - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*z**2 + 3*z**2 + 0*z**2 - 13*z**3 - z**2 wrt z?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -315 - -305.94. What is t rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 538369 and -0.0522?\nAnswer: -28102.8618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12236)\/152*4\/(-7))\/1?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9cce + 0?\nAnswer: -9cce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2361, 0, -1, -340, 5 in decreasing order.\nAnswer: 2361, 5, 0, -1, -340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide -1 + 1251 + -6 + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5753 times -694?\nAnswer: 3992582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -7*q**2 + 107*q + 216. What is c(17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*g - 135 = 4*t, 18*t - 4*g - 6 = 17*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -478 - -474.18. Let z = j - -3.75. Which is the nearest to 0.1? (a) -5\/3 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 260416 (base 7) to base 13.\nAnswer: 18c4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841304218.\nAnswer: 2, 1831, 229739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g + 3. What is the tens digit of f(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -21\/4. Let z(x) = 4*x - 14. Let d be z(5). Let n be 25\/d - 3\/18. Which is the nearest to n? (a) q (b) 5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 83542104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1906 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 228497 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5141 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*q - 240. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**2 + 2*m**2 + m**2 + (-m - 1 + 1)*(0*m + 5*m - 3*m).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**3 + 3*q**3 + q**3.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1162 is divided by 572?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than 9194605?\nAnswer: 9194602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2982166, -5964173, -8946180, -11928187, -14910194, -17892201?\n\"Answer: -2982007*b - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1460 + -1457. Put 0, 21, s, -2 in increasing order.\nAnswer: -2, 0, s, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9572 less than 2.94993?\nAnswer: 9574.94993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 - (6 + 2 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-26)\/(-10))\/13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m**2*z + 37287*m**2 + m*z + 2967645*z wrt m?\nAnswer: -4*m*z + 74574*m + z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -15 + 6\/9\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2863853677\/5291611290 + -20\/1434041. Let s = 26\/45 - q. Is s smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d - 35. What is the units digit of n(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98415.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -2, 24.\nAnswer: -5, -2, -1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3054, -11306, -24994, -44064, -68462, -98134?\nAnswer: -133026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000275109047 to 7 dps.\nAnswer: -0.0002751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 g when four letters picked without replacement from gggggggggggggygggg.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 4*g + 32 = 0, -2*g + 1590 = -v + 1594 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 121 - 597016\nAnswer: -596895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 146248 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/20*(-40)\/468*-65?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 - 135848*b**2 + 2174336*b - 8698368.\nAnswer: -4*(b - 8)**2*(b + 33978)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 100779, 104133, 107487, 110841, 114195, 117549?\n\"Answer: 3354*u + 97425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 35. Let c(a) = -4*a**3 + a**2 + 3*a + 2. Let i be c(-1). Suppose 6*p = 8*p - i. Solve -p = -t, -n*w + 0*w = -5*t + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 14 - -2 - (67 - (3 - (-5 - -6)))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*y = c - 56, 0 = -2*c + 3*y + 127. Suppose -c = -4*k + 12. Let w be 10\/k + 34\/4. Solve -3*q = -0 - w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**3\/3 - 5*x**2 + 10*x - 4. Is s(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -137 - -956\/7. Suppose 4*f = -3*s - s - 4, -5 = -f - 4*s. Which is the closest to 1\/2? (a) -5 (b) n (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41006.\nAnswer: 2, 7, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/2)\/j)**(-2\/5))**(-37)*(j*j**0)**(-11\/8)*j*j**2*j*j*j*j**0*j assuming j is positive.\nAnswer: j**(-71\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1296\/208327 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/2 - (-1)\/(-2). Let r = 2 + 5. Suppose -25 = x*d - r*d. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shss when four letters picked without replacement from sshhsshhhhshshsss?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 16*k**4 + 2*k**2 + 3*k - 2*k - 5*k + 3*k to the form m*k + n + o*k**3 + f*k**2 + a*k**4 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -76409 divided by 5?\nAnswer: -76409\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 49331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -9. Differentiate -6*o + 6*o - 3*o - k + 5*o wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76 + 56 + -54 + (5 - -4)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (93 - 0)\/((-6)\/(-22))?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-105)\/(-14))\/15)\/(5\/(-260)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*j**2 + 1 - 10*j**2 + j - 16*j**2 + 102*j**3 + 69*j**2 - 24*j**2 in the form f + t*j**3 + x*j**2 + k*j and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -410 - -2939?\nAnswer: 2529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, d: 12}. Give prob of picking 2 q.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s - 4*s - 8*s + 4*s - 7868 + 3*s.\nAnswer: s - 7868","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j + 1102 - 4981. Let v = -315 + j. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61424 and 10056.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiyimifmmmf. What is prob of sequence fmii?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 7*m**2 - 3*m - 3. Let c be i(6). Suppose 2*j + c = 7*j. Let u(y) = y**2 - 4*y - 5 - j*y**2 + y**2. Calculate u(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**3 + 5*i**2 + i - 5. Let x be h(4). Let p be 6\/(-33) - x\/11. Let v = p + 54. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/45)\/7*-6*(-87 + 55 + 137)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/20*25\/(-8))\/((-99)\/132).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/7 and 6\/18179?\nAnswer: 18179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 10 + 3 - 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2533 + 36?\nAnswer: -24a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 5*u**2 + 4*u - 6. Let p be ((-10)\/(-4))\/((-7)\/42). Let j be (27\/(-12))\/(p\/(-40)). Is r(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212672154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from qqfaf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10906000 rounded to the nearest ten thousand?\nAnswer: 10910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 + 152*b**3 + 154*b**2.\nAnswer: -2*b**2*(b - 77)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thturtjrrrrtruru. Give prob of picking 3 t and 1 j.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (62\/31*(-16)\/704)\/(2\/8). Let r = 17\/3 + -6. Let q be (2\/(-3))\/((-7)\/3). Which is the closest to k? (a) 2 (b) r (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, y: 7, n: 2, x: 1, z: 2, g: 1}. What is prob of picking 1 k and 1 n?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**2 - 2*u**2 + 10 + 5*u**3 + 0 - 9 to the form q + k*u + r*u**3 + d*u**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 7\/10*-2. What is the closest to 0 in 1\/2, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71756 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3385151 - 13547374393\/4002. What is the common denominator of -17\/22 and t?\nAnswer: 44022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -150 + -71438?\nAnswer: -71588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**0*c\/(c**14\/c) assuming c is positive.\nAnswer: c**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*l = -2*b + 12, 37 = -3*b - 5*l. Let n be b + 32\/((-4)\/(-1)). Find the second derivative of 0*s**4 - 26*s + 16*s + 8*s**n wrt s.\nAnswer: 96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 32*d + 6*d = 468 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -22041866 divided by -7\nAnswer: 3148838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-3\/8))\/(i\/i**15*i))**(-15) assuming i is positive.\nAnswer: i**(-1845\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8.202854 milliseconds?\nAnswer: 8202.854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 7. Suppose -3*o + 7*o = -j - 66, 180 = -z*j + 5*o. Let r be (-10)\/j + 1\/(-5). Solve 7*t = 3*t + 4*q - 12, 5*q = r for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**3\/3 + 1. Let f(n) be the second derivative of -5*n**4\/4 - 2*n - 670. What is f(h(q))?\nAnswer: -15*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 21.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -263 - -267. Suppose c*s = 4*r - 9*r - 5, 5 = 5*s - 5*r. Solve -p + 6 = 3*b - s*p, -p + 3 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-338)\/845)\/(249\/(-90) - (-3)\/18)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 714 + -711. Solve l*p + 5 = n + 3*n, 0 = 3*n - p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from {w: 5, v: 5, d: 5, i: 2, j: 2}.\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 317960 and 160?\nAnswer: 1271840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -30*w**3 + 2*w**2 + 3*w + 2. Determine o(-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 744 and 48.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12717724 - 0?\nAnswer: 12717724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -29295*i**3\/2 + 15*i**2\/2 - 2*i - 259. Let o be h(-1). What is o rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v + 0*v - 3*v + 2*v - 4*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**4 - 6*y**4 + 6*y**4)*(-5*y + 4*y + 0*y + (3*y + 0*y - y)*(4 - 2 + 0) + 0*y + 2*y - y + 3*y + 2 - 2).\nAnswer: -35*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.3 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6 - 4*y + 4*y - 2*y + y. Let v be a(0). Let b be 5\/(15\/v) + 2. Solve 5*h + 22 = -b*h - 4*q, -4*h + 4 = -4*q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqrrwrrsrrrrrrrw. What is prob of picking 2 s and 1 r?\nAnswer: 11\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*v + 2*d, -d + 5*d = 5*v - 10. Solve -11*u + 4*b - 15 = -8*u, -20 = 4*u - v*b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**5\/13 + 658*x**4\/13 + 54446*x**3\/13 + 53134*x**2\/13 - 54448*x\/13 - 53792\/13 = 0?\nAnswer: -164, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 10:24 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 - c**2 + 3*c**2)*(c + 2*c - 5*c) + (-5 + 1 + 3)*(-3*c**3 + 4*c**2 - 4*c**2).\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 84\/(-46) + 11\/((-55)\/(-10)). Let q(c) = 58 - 6*c**2 - 13*c + 5*c**2 - 29 + c. Let p be q(-14). Are h and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -5) + 0 + 5 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*m + m. Let l = -2 + m. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s. Let t(z) be the first derivative of -7*z**3\/6 + 3*z - 3. Let x(u) be the first derivative of t(u). Determine 5*q(g) - 6*x(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 16 = -3*v, g - 1355*v + 240 = -1295*v - 281 + 43 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 4, 7, 0.5 in descending order.\nAnswer: 7, 4, 2, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -175, 16, 421, 1112, 2161?\n\"Answer: 12*i**3 + 35*i**2 + 2*i - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 180731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 2 - (-9)\/((-54)\/12). What is the closest to 4 in -3, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 0.461, -3, -9?\nAnswer: 0.461","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/33)*c**(3\/11)*c)**(-40) assuming c is positive.\nAnswer: c**(-1600\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) - (sqrt(68)*2*-3 + sqrt(68))) + sqrt(68) - sqrt(68))\/(6*sqrt(16)))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 34156593?\nAnswer: 68313186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -12, -5, 3 in ascending order.\nAnswer: -12, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1221\/23? (a) 5 (b) 1 (c) 0.1 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 6. Let s = -15.6 + -6.4. Let m = -21.6 - s. Is m smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 29. Let v be -1 - (-1 + 0)*1. Calculate a(v).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-450)\/35)\/3)\/(11\/(-462)*9).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(468\/(-4))*(-9)\/(-12)*-4.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 7*c**2 + 8*c + 13. Let d be k(6). Let a = -74 + d. Sort a, -5, 2.\nAnswer: -5, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 205600 and 1175200?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.152 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 60. Let g = m + 56.46. What is g rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 585 = 28*p. Calculate the remainder when (-408)\/(-7) + (-4)\/14 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from lkllk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1*a)\/a)**(2\/107) assuming a is positive.\nAnswer: a**(2\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 292339266 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t + 24 = 8*t. Sort 3, t, -24.\nAnswer: -24, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 345863723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 101*f**4 - 127*f**3 - 21414 wrt f.\nAnswer: 404*f**3 - 381*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -2.73.\nAnswer: 10.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 35351097333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18830574?\nAnswer: 2, 3, 7, 199, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 49, -30, -107, -182, -255, -326?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**8\/1344 + l**5\/30 + 19*l**4\/12 + 8*l. Let t(f) be the third derivative of m(f). What is the derivative of t(v) wrt v?\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75790 rounded to the nearest 1000?\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/(171\/(-1963764)*116)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33658 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, u: 11, x: 2}. Give prob of sequence euxe.\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7420158.9s in weeks?\nAnswer: 12.26878125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -28 (b) -693.4 (c) 2\/21 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -8, -6*m - 5*k = -2*m - 6. Suppose 6*a - 4 = 4*a. Solve -a*g = -g - m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 90\/77)\/2. Let f = -3\/11 - z. Let v be 4\/(-18) - (-376)\/72. Which is the third smallest value? (a) -1\/3 (b) v (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684164781 a multiple of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -7*r + 5*r + 1420, 0 = 2*r + i - 1436. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -3*x - 39. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17 + 3\/(-9)*-45321?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-252)\/140)\/(3\/10*-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, g: 2, k: 6, x: 2}. What is prob of sequence tkgk?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 - 2.03. Let g be ((-6)\/8)\/3 + (-2970)\/1080. What is the closest to 1\/2 in g, v, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3264\/56 - (-4)\/(-14) - 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u - 7. Let q be 9\/(-15) + 22\/(-5). Let n be h(q). Solve j - 12 = 5*m + 13, -n*m + 13 = 5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (69 + 21*i**2 + 85 - 20*i**2)*(0*i + i - 2*i) to the form h*i**2 + z + y*i + k*i**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 217601971 a multiple of 2381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/5 + 13886*d\/5 + 46049388\/5.\nAnswer: -2*(d - 9394)*(d + 2451)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(1\/4))\/d*d*d**(-8)*d)\/(d**4*d**7) assuming d is positive.\nAnswer: d**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 0*q - q)*(-2 - 3 + 2)*(-3 - 1 + 3)*(1 + 2*q - 2*q - 2*q)*(-5 + 2 + 2).\nAnswer: -24*q**2 + 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from bbe.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*c - 13*c**2 - 7 + 2*c**3 + 8 + 14*c**2)*(-c + 1 - 1) as o*c + g*c**4 + h*c**3 + x*c**2 + m and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/4)\/((-15)\/40). Solve -3*s + 3*t = 0, -3*s + 0*t = c*t - 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -103*b**4 + 2*b**2 + 71. Let m(a) = 515*a**4 - 11*a**2 - 355. Let s(c) = -2*m(c) - 11*t(c). What is the first derivative of s(r) wrt r?\nAnswer: 412*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -348 divided by -148.\nAnswer: 87\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-6))\/(3\/18). Suppose 3*y - 36 = -2*y - 4*s, -y = h*s - 6. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.55 - 17?\nAnswer: -8.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooxooxxoxooxxx. What is prob of sequence oxx?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 + 3*t + 903 - 501 - 621 to z*t + d + b*t**2 and give d.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-30))\/(4*(-1)\/(-20))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -88672, -358500, -808210, -1437802, -2247276, -3236632?\n\"Answer: -89941*l**2 - 5*l + 1274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83\/30 - -13\/6. Sort 2\/13, -20, p, -1.\nAnswer: -20, -1, p, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 2*h**6\/15 - h**5\/5 - 2*h**4\/3 + 10*h. Find z, given that v(z) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6907 + 0.2.\nAnswer: -6906.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 126540, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09 - 146780.\nAnswer: -146780.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-235 - (-77 - 52)) + 1 + -16?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -46849, -93700, -140551, -187402?\n\"Answer: -46851*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 3:41 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 3. Suppose 0 = 25*g - 5197 + 5147. Let h(v) = -3*v + 7. Calculate g*h(p) - 5*d(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (57 - -3)\/((-2)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five eighths of a tonne?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 0. Let q(t) = -t**3 + 5*t**2 - 5*t + 6. Calculate q(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b - 69*b**2 + 95*b**2 - 970*b**2 as p + i*b**2 + g*b and give i.\nAnswer: -944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -685*j**5 + 2*j - 317.\nAnswer: -13700*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2543399 to the power of 1\/2, to the nearest integer?\nAnswer: 1595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 b when three letters picked without replacement from {n: 2, u: 3, d: 2, v: 1, e: 4, b: 2}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -n - 8. Let y be ((-4)\/n)\/((-2)\/24). Suppose p = 3*i - 41, y*i = i + 5*p + 85. Solve 3*r = -r + i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56315108 or 56315106?\nAnswer: 56315106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**3 - 973*p**2 + 25693*p - 27. What is f(29)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.692923 years in decades?\nAnswer: 0.4692923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d + 18. Let x be h(13). Which is smaller: -22 or x?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/1*27\/(-36).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1470.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/3 (b) 89 (c) -28 (d) -0.5 (e) -0.583 (f) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/4 of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.94969 from 141909.\nAnswer: 141909.94969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*r = -16, -4*s + 2 = 3*r - 18. Let t = 4 + -2. Solve 0 = -s*u + t - 12 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17214 - 17209. Sort 12, 2, -0.5, b in increasing order.\nAnswer: -0.5, 2, b, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**3 - 2*n**2 + 3*n + 2. Let m be 1\/3*(-5 - 1)*1. Give s(m).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(sqrt(2) + -2*sqrt(98)) - (((sqrt(325) + 1 + sqrt(325))*1)**2 - sqrt(325)))*-2.\nAnswer: 392*sqrt(13)\/13 + 2602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10891 * 922\nAnswer: -10041502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-21)\/9 + (-290)\/(-2436)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -39, -18, 3, 24?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 51 + 14 - 18. Let q be y(0). Suppose -4*w + 4*x + 166 = 58, -2*w = 5*x - q. Calculate the lowest common multiple of w and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1*0.24\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3863*o**2. Let f(g) = -3*g**2. Determine f(t(w)).\nAnswer: -44768307*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -331 - -334. Let d(s) = s**2 - 8 + 0 + 1 + 3*s. What are the prime factors of d(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -4412504?\nAnswer: 4412504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 329125.5 and -0.4.\nAnswer: 329125.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 31. Is 224\/10 - 4\/b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 4. Let x(r) be the first derivative of -r**3\/3 - r**2\/2 + r + 1. Let o(n) = 894 + 893 + 54*n**2 - 60*n**2 - 1783 - 4*n + 2*n**3. Give f*x(a) - o(a).\nAnswer: -2*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.0608, -4551, 0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -0.4. Let r = 0.198 + 0.802. What is the closest to r in u, -4\/3, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 11 = 5*g, -171*g + 167*g = -x + 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.9 + 4. Let o = -0.13 + -0.17. Let a = -1\/39 - -122\/195. What is the nearest to j in -3, o, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 9*t**2 + 9*t - 41. Let q be h(-7). Let m(l) = 3*l + 4. Let v(j) = 4*j + 5. What is q*m(y) + 5*v(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**5 + q**4 - q**3 - 2*q - 1. Let v(j) = j**4 + 15*j**3 + 127*j**2 - j - 1. Let k(u) = t(u) - v(u). What is the third derivative of k(o) wrt o?\nAnswer: -60*o**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -221447 and -1.\nAnswer: 221447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -47*i**3 + 16*i**2 + 2*i + 5. Let h(o) = 23*o**3 - 7*o**2 - o - 1. What is -2*g(y) - 5*h(y)?\nAnswer: -21*y**3 + 3*y**2 + y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 g when four letters picked without replacement from ssggmgsmsgssgongsss?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -769\/33 + 73\/11. Let b = -723140\/7 + 103536. Let x = -224 + b. Calculate the common denominator of r and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9695706?\nAnswer: 2, 3, 59, 61, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -167*y + 183*y**3 + 80*y**5 - 90*y**3 - 93*y**3 wrt y?\nAnswer: 1600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 595 = -4*q - 189, -3*i + 1176 = q. What is the remainder when 21 is divided by (i\/35 - 4) + (-4)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - sqrt(448)*1) + sqrt(448) + -4 - -2*sqrt(448)*3)**2 + -5.\nAnswer: -448*sqrt(7) + 21963","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -280, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -476d + 4?\nAnswer: -4769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6086.987576 + -6087. What is l rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 0 - -6)\/(-3 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -43*f**2 + 8093*f - 9680. What is u(187)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -10*m**2 - 73*m - 14. Let h(z) = -4*z**2 - 25*z - 5. Determine 8*h(a) - 3*u(a).\nAnswer: -2*a**2 + 19*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3776 is divided by 123.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 11*m - 9*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 0*a + 0 + 0*a**5 + 1\/24*a**4 + 0*a**3 + 1\/120*a**6 - 3*a**2. What is the second derivative of q(i) wrt i?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -372347, -744706, -1117065, -1489424?\n\"Answer: -372359*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 5:54 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.3307612 * -33.\nAnswer: 109.9151196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - h + 721 = h, 0 = 4*c - 4*h - 2860. Let v = 1076 - c. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 35346e - b?\nAnswer: 353463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**5\/270 - 14*c**4\/9 + 332*c**3\/27 - 1388*c**2 + c. Factor t(i).\nAnswer: 2*(i - 166)*(i - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**2*f + 105*a**2 - 313*a - 10383*f wrt f?\nAnswer: 2*a**2 - 10383","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -54487?\nAnswer: 3\/54487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 471*w + 60177 = 947*w - 473*w. What are the prime factors of w?\nAnswer: 13, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11837 and 2128.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554 is divided by 111?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513920943.\nAnswer: 3, 234989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-208)\/(-22)*(-140)\/54320*97.\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2250 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 15*q + 413. Determine n(-20).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = 52 - 62 + 50. Let m = -0.4 + 0.2. What is the nearest to r in 2, m, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - (2 - (-2 + 1)). Let i(q) = -2*q**3 + 6*q**2 - 3*q + 11. Let y(m) = -m**3 + 3*m**2 - m + 6. Let c(z) = -3*i(z) + 5*y(z). Is c(x) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10746 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -306 - -393. What are the prime factors of b?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-8)*-16 + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 5*h**3 - 105*h**2 - 1710*h - 1600 = 0.\nAnswer: -10, -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 15*a**2 + 9*a - 137. Suppose -20*y - 9*y = -435. What is o(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43349805?\nAnswer: 3, 5, 43, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 189 + 58 + 87*h - 27*h + 54.\nAnswer: 60*h - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 245 + -139. Let p = h + -41. Let t(u) = 2*u**2 - 25*u. Let q be t(13). What is the highest common divisor of p and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-10)*(-2144)\/(-24). Let c = 108 + p. Suppose c*q + 2\/5*q**4 + 0*q**2 - 4\/5*q**3 - 2\/5 = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1 (b) 181 (c) -0.0834\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4977155 to the power of 1\/2, to the nearest integer?\nAnswer: 2231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**(1\/4)*s))\/s*s**(-4) assuming s is positive.\nAnswer: s**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30430144 (base 8) to base 15.\nAnswer: -871996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 18*y**5\/5 - 76874*y**4\/5 + 15470960*y**3 - 214384024*y**2\/5 + 102821024*y\/5 + 34285056\/5 = 0?\nAnswer: -2\/9, 1, 2, 1616, 2652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 19 + 24. What is the third smallest value in i, 1\/4, -2\/7, 3\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 2. Let o be z(1). Let r(h) = -4*h**3 + 5*h**2 + 2*h + 4. Let d(b) = -5*b**3 + 6*b**2 + 3*b + 5. Let i(x) = o*d(x) + 4*r(x). Calculate i(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (134\/536)\/((-7)\/(-8))*-1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-4) - 11\/4. Let c = -1 + -2. Do c and q have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -5. Suppose -2*x = 4*o - 52, 2*o - 18 = o - m*x. What is the highest common factor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49006*j**2 + 49004*j**2 - 83 - 211 - 98009*j**2.\nAnswer: j**2 - 294","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x - x)*(-2*x - 5 + 5)*(4 - 4 + 3).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -6 (b) -16 (c) 20 (d) 0.3 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrbg when four letters picked without replacement from brnbnnrggrbgg.\nAnswer: 9\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2 + 15*y + 2. Let q(s) = -2*s**2 - 14*s - 1. Let n(h) = -3*l(h) - 4*q(h). Let c be n(5). Suppose -2*m + 6 + c = 0. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 108 - 383. What is the least common multiple of 40 and o?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12254958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j**2 + j**2 + j**2 + 0*j**3 + 9 - 3*j + j**3. Let f be u(-6). What is the units digit of ((-20)\/3)\/((-21)\/f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.6 - 1711?\nAnswer: -1607.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 7*s - 4204 = -g, -s = 2*g - 1051. What are the prime factors of s?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + q + 3*q - 3*q + 0*q + 2*q + 3*q - 4*q + 3*q + (3 - 3 - 2)*(0 + 2*q + 0) - 6*q + 2*q + 2*q - 2 - 2*q + 2 + 5*q - 4 + 4 - 577 - 37*q - 525 + 1138.\nAnswer: -38*q + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 80*c**2 - 6969*c + 780. Determine d(87).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1326036 and -0.1?\nAnswer: 132603.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54475)\/1700 + 32)*4\/3.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 - -203. Calculate the common denominator of 117\/10 and 1\/(6\/n*-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2.54, 65, -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007652 rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2193595 and 7880?\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.3044 - 0.3044. What is the closest to -10\/3 in 5, j, -2\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*u**2 + 557*u**2 - 29*u + 158*u**2 + 29*u + 78*u**2.\nAnswer: 908*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-8)\/(((96\/(-552))\/(14\/28))\/1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*k - 340*a**2 - 8*a*k + 28*a + 2*k wrt a.\nAnswer: -4*k - 680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 18 - 2. Suppose 0 = i*v - 4*l - 14 - 22, -2*l = 6. Let y = -2121 + 2121. Sort v, -1\/2, -0.4, y.\nAnswer: -1\/2, -0.4, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 12*p**2 - 18*p + 97. Let m be o(7). Let b = -232 + m. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 7\/60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**3 + 4*m**2 - 3*m. Let f(o) be the first derivative of -o**4\/4 + o - 3. Let j(y) = 4*f(y) + h(y). Determine j(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22147 is divided by 11054.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*15)\/((-1)\/(-2)). Let h = -10 + -4. Let j be (-360)\/h - 18\/(-63). Solve 5*z = 5*t - g, 2*t + 5*z + j - 10 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) -3 (c) 2\/5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hih when three letters picked without replacement from {h: 2, s: 1, i: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1448*b - 526 + 778413*b**3 + 229*b - b**4 - 778413*b**3 wrt b.\nAnswer: -4*b**3 - 1219","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11262 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**3 + 7*s**2 + 44*s + 7. Determine w(-4).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 76.5749g?\nAnswer: 76574900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n - 385 = -14*n. Put -2, -4, n in increasing order.\nAnswer: n, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**6\/120 - s**5\/30 + 3*s**2\/2 - 3. Let q(x) be the second derivative of u(x). Determine d, given that q(d) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 134*p - 148*p. Let q(x) = x**2 - 7*x + 9. Let g = 8 - 2. Let i be q(g). Let c(v) = -v - 5. Let m(k) = -2*k - 9. Determine i*m(u) + p*c(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496*n + 30 = -4*c + 499*n, 4 = -c - n for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 2*u**2 + 2*u - 1. Let p be o(2). Let d(b) = b**2 - b + 1. Let g be d(p). What is the remainder when -2 + g + -2 - -2 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73556116?\nAnswer: 2, 23, 799523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.8*8.905.\nAnswer: 87.269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + (-33 - -24).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 302109 - 302001. Let y be (58\/(-4) - -1)*-26. Calculate the highest common factor of f and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 170, 85, -64, -283, -578, -955?\n\"Answer: -i**3 - 26*i**2 + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -198 - 2*f**3 + f + 114 - 18*f**2 + 83 to the form p*f**3 + o*f + n*f**2 + a and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 2, 4 in ascending order.\nAnswer: -4, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 70*q**2 + 21*q. What is the remainder when 194 is divided by s(-1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7683*b*m**5 - b*m**2 - 2*b*m + b - 2*m**5 - 5*m - 34 wrt m?\nAnswer: 460980*b*m**2 - 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 517.999474 - 518. Round t to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, -29, -66, -137, -254, -429, -674?\n\"Answer: -2*k**3 + k**2 - 4*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 6*c + 1\/4*c**4 + 4\/3*c**3 - 5\/2*c**2 + 19. Determine o(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 8*f + 11. Suppose 2*q = 5*t - 2, -3*t - 4*q - q = -26. Let p be ((-28)\/12 + t\/6)\/2. Let n be p\/(((-2)\/(-12))\/((-3)\/2)). Determine y(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -641*r - 100 = -639*r - 2*d, -4550 = 91*r + d for r.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 3*p - 15, -11 + 14 = -f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 + 161. Let f = -239 + j. Which is greater: -37 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5907619 (base 10) in base 5?\nAnswer: 3003020434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*g - 223, -g = -o + g + 211. What are the prime factors of o?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, w: 1, s: 3}. Give prob of sequence wfs.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-3)\/4)\/(13\/((-936)\/243)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 12*n - 28. Let a be f(8). Suppose 90 + 446 = a*g. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 0. Let u = -110 + 24. Let k be u\/18 + 6\/(-27). Sort 3, o, k in decreasing order.\nAnswer: 3, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 162 + -161.9. What is the closest to -2 in -5, w, -7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/149250 and -107\/59700.\nAnswer: 298500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x**3 - 27*x**2 + 294*x + 87. What are the prime factors of h(15)?\nAnswer: 2, 3, 19, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**5\/2 - 11*o**4\/2 + 39*o**3\/2 + 459*o**2\/2 - 243*o = 0?\nAnswer: -9, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3241216724.\nAnswer: 2, 37, 179, 122347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + 2)*(-4)\/6. Suppose -88*x + 102*x - 4060 = 0. Suppose -34 = r*h - x. Calculate the highest common divisor of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**4\/13 + 2026*d**3\/13 - 28060*d**2\/13 + 87992*d\/13 - 79920\/13 = 0.\nAnswer: 2, 10, 999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 465 - 409. Suppose 0 = h*a - 65*a + 99. What is the remainder when a is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*o = -14. Calculate the smallest common multiple of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*p*s*x**2 - p*x**2*y - 5*s*x**2 + 4*s*x*y + 2*s*x + 22*x**2*y**2 wrt y?\nAnswer: -p*x**2 + 4*s*x + 44*x**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33*z + 18*z - 144*z - 197*z)*(-62*z - 55*z + 24*z) to the form v*z**2 + f*z + i and give v.\nAnswer: 26970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(132) - 3*sqrt(132))\/sqrt(12)) + (sqrt(11) + sqrt(55)\/(sqrt(45) + sqrt(5)))**2 + sqrt(11) + -2.\nAnswer: 4*sqrt(11) + 243\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 5:40 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 219248565 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -730758*r + 3982393*r - 18579398*r - 6532867*r.\nAnswer: -21860630*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787521243?\nAnswer: 3, 17, 241, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 107114 - 621?\nAnswer: 106383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1 - 2 - 1 - 2 + 4*a + a. Calculate u(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13225*70\nAnswer: -925750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69 + 166 - 25 + 215)*(-3 - 2*i**3 + 3).\nAnswer: -574*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.117 + 1574?\nAnswer: 1573.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from {u: 1, s: 3, x: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3696\/19*j - 882\/19*j**2 - 3872\/19.\nAnswer: -2*(21*j - 44)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 3323403?\nAnswer: 6646806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 520.0398mm to centimeters.\nAnswer: 52.00398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36 + 3 + 28\/7. Solve 49 = -3*c + b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 + -12.98. Let w = 12.6 - 30.6. Let g = w - r. Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -6409*d - 3123. Is 35 a factor of v(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37187 by 40389.\nAnswer: 37187\/40389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-99)\/(-11)*(-40)\/(-15). Suppose 105 = c*z - 87. Which is smaller: 9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -88.52.\nAnswer: -89.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/684 (b) 0.5 (c) -0.3 (d) 1\/8 (e) 1\/205\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61180 and 1932?\nAnswer: 183540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1136*p**4 + 1081*p**4 - 11*p**3 - 49*p + 9*p**3 to r*p + o*p**3 + j + w*p**2 + f*p**4 and give r.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 - (-222)\/12)\/(2\/2836) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 230\/2620*260\/(-8) + 3 and -167\/60.\nAnswer: 7860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13.2 (b) -1.02 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/4)\/(3 + (-27)\/6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2034332 + 4?\nAnswer: 2034336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77607?\nAnswer: 3, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (8\/(-5))\/(18\/(-675))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 47*j + 543. Calculate the remainder when 539 is divided by k(9).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**5\/60 - 17*i**4\/24 + 47*i**3\/6 - 157*i**2. Let d be u(7). Round d to zero dps.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2) + 15 + 4 + -9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(132)*-4 + sqrt(132))\/((-1*sqrt(120))\/sqrt(10)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, i: 2, v: 1, z: 3}. Give prob of picking 2 m.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 g when three letters picked without replacement from {w: 1, o: 3, g: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*m**5 - 15*m**2 - 603*m.\nAnswer: -180*m**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(3\/(-268)) + (-4)\/1. Suppose -263*l + q*l - 12 = 0. What is the greatest common divisor of 18 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 - 5*b**2 - 3*b + 4. Let u be c(-3). Suppose u - 8 = 2*q. Suppose -q*a + 69 = -4*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 10*k**2 - 12*k + 6. Let d be b(3). Solve 0 = -8*f + 25 - d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - -10) + 15 - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, t: 10, s: 4, g: 1}. Give prob of picking 1 t, 1 s, and 1 q.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vezh when four letters picked without replacement from {h: 1, z: 5, e: 4, b: 4, v: 1}?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5237692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.602715 grams in kilograms?\nAnswer: 0.006602715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 13. Let s = m - -24. Let u(c) = c**2 + 6*c + 1. Let q be u(-6). What is the third biggest value in q, s, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -502 + 502. Let f be 0 + (-16)\/(-4) - 12. Put f, 1, c, 4 in decreasing order.\nAnswer: 4, 1, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l + 5. Let a be (3 + -2*3)*-3. Suppose 8*m - a*m + 7 = 0. Let r = -4 + m. Let v(s) = 4*s + 11. Determine r*v(y) - 7*u(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/5 (b) 2\/11 (c) -0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12928 and 303?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27.4 + 14.4. Which is the smallest value? (a) -1\/4 (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335430 is divided by 119?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -7807726*i + 32*i**2 + 7807726*i + 9 + (2*i - i + i)*(-i + 3*i - 3*i) + 0 + 0 - i**2 in the form p*i**2 + n + s*i and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4795 - 26453 = -450*u + 9392 for u.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 11*r + 0*r)*(10 - 7 - 36)*(-2*r - 2*r + 5*r).\nAnswer: 231*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 717316?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -2)*-2 - -34. Suppose -5*c + o = -28. What is the lowest common multiple of -6 - (0 + (2 - 124)) and c?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (2 - 50\/15). Sort -2, o, 4 in decreasing order.\nAnswer: 4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, w: 2, d: 3, t: 2}. Give prob of picking 1 w and 3 d.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z - 12 + 4*z + z - 5*z. Let f be p(4). Which is the smallest value? (a) f (b) -1\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-16 + 20 + -10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89067, 178134, 267201?\nAnswer: 356268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5496888, 10993777, 16490666, 21987555, 27484444?\n\"Answer: 5496889*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 14*f - 19. Give k(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 12 = -4*u, 0*u - u - g = 0. Let y be -5*u*4\/(-5). Suppose i - n - n = -y, -4*i + 2*n - 8 = 0. Round i to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1571*g - 71892 = -426*g for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b - 13. Let w be f(9). Let m(t) = t. Let y(u) = 1. Let d(q) = -m(q) + 4*y(q). Let o be d(w). What is the nearest to -1 in o, -3, -1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/474608 and 63\/474608.\nAnswer: 474608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 610587 to the power of 1\/2, to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-12) - (-714)\/(-24). What is the tens digit of (s\/(-6) - -102) + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -8*q**2. Let j(t) be the second derivative of 2*t + 1\/3*t**3 + 0*t**2 + 83. Calculate j(l(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -264, -354, -444, -534, -624, -714?\n\"Answer: -90*r - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3644, -5413, -7182, -8951, -10720, -12489?\n\"Answer: -1769*y - 1875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9992951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, d: 1, v: 9, f: 1, r: 1}. What is prob of picking 1 f and 1 d?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 7*j = 20, 44 = -4*m - 2*j. Let u = m - -61. Suppose 5*b - 243 + u = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -135, -102, -69, -36, -3, 30?\n\"Answer: 33*z - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**8\/84 - 2*h**7\/35 + h**6\/10 - h**5\/15 - 18*h**2. Factor k(m).\nAnswer: 4*m**2*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - 1 - (10 - -8 - 4).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqqssssqsqs. Give prob of picking 2 s and 2 q.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 29*h**4\/4 + 27*h + 11. What is the first derivative of c(n) wrt n?\nAnswer: 87*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*a**2*p + 2*a**2 - 38*a*p + 40*a - 527315*p wrt a?\nAnswer: -12*a*p + 4*a - 38*p + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuiu. What is prob of sequence iiu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 1 + (19 - 24 - 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o**2 + 21*o - 18. What is b(4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/10)\/((-12)\/36*-3)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14110560 divided by -1411056.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*w - 6 = -272*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1022\/(-1022))\/(130\/(-125) - (-3 - -2))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3006131280 divided by -4.\nAnswer: 751532820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o + 4. Let u(a) = -5*a**3 + 3*a - 2. Let l be u(1). Give n(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c - 2196 = -36*c + 4*g, -7*c + 5*c + 224 = 4*g for c.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*t = -16, 11*t = -k + 10*t + 8. Suppose -4*o - 179 = k*c - 3559, 0 = 5*c + 2*o - 4237. Does 71 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*16\/(-12)*-4. Which is bigger: 12 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 - (6 + 6 + 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6*v**2 + 29*v + 49. Let l = 62 + -30. What is the remainder when l is divided by k(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1393461270 to the power of 1\/2, to the nearest integer?\nAnswer: 37329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 4*h**2 + 6*h + 3. Let n be z(5). Let f be (3\/n)\/(15\/126052). Let q = 3154 - f. Calculate the common denominator of q and -54\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 5:34 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 522364204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*x + 893 = -705. Suppose 5 = 3*u - 1. Suppose -4*m = -50 + u. What is the remainder when x is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**4 + 4*k**3 - 4*k**2 - 14*k + 11. Let q(y) = -y**4 - y**2 - y + 1. Let z(h) = -2*q(h) + x(h). Find m, given that z(m) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*k + 148*k + 901 = -1187. Let l = 1\/71 - -131\/781. Which is the smallest value? (a) -1 (b) k (c) l (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is g in -371*g**4\/5 + 1015062*g**3\/5 + 3031349*g**2\/5 + 1983048*g\/5 - 32868\/5 = 0?\nAnswer: -2, -1, 6\/371, 2739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9298354 a multiple of 442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (7 + -12 - (-2 + -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.24683197 + -0.2467. Round b to 6 dps.\nAnswer: 0.000132","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 572 divided by 26\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 9 + (-3 - 17).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1942, -1984, -2024, -2062, -2098?\n\"Answer: w**2 - 45*w - 1898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9e8b (base 16) to base 3.\nAnswer: 2001200020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 1559*r - 460 = 1555*r, 0 = s - r - 92. Solve 39*g - 16*g - s = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 10:44 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/6 and 37\/11199?\nAnswer: 22398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 6:16 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**3 + 3*q**3 + 0*q**3)*(2*q + 4*q - 5*q)*((3*q - 5*q + 0*q)*(-2 + 0 + 3) - 5*q + 2*q - 3*q).\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nineteen quarters of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 15. Let f be n(-12). Let c(d) = 32 - 16*d - 16*d**2 + 8*d**f + 11 - 27. Let z(g) = g**2 + g - 1. What is -c(s) - 16*z(s)?\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -0.5. Let y = 6.127 + -6.027. Which is the closest to y? (a) 3\/7 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-7))\/(3\/21). Suppose u + 0 = x. Let q(n) = n**2 - 44*n - 586. Let j be q(-11). Solve -4*g = -r + 21, r - j - x = 5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*d - 5190 = -13716 for d.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 4*i + 4. Let j = -7 - -3. Let c be b(j). Suppose -c*v + 21 - 1 = 0. Solve -3*f = 5*g - 3, v*g - 35 = 5*f - 0*f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 o when two letters picked without replacement from {b: 1, o: 2, h: 1, y: 1, i: 2, x: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 488 - 488 + 181*w to the form k + g*w and give g.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - -5 - (-92)\/(-28). Let q = -288 + 268.1. Let y = q + 15.9. Which is the biggest value? (a) y (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -16 - (3 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -139*r**2 - 9*r + 12. Let u be j(6). Let d = u - -40299\/8. What is the common denominator of 15\/14 and d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23607 is divided by 11801?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 88977.77 tonnes?\nAnswer: 88977770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 - 128 = -14*r - 134 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31058818247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -89808\nAnswer: 17961.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.454 + 84.454. Let z = -119 - -200. Let k = z - y. What is the nearest to 0 in -0.3, k, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 - w**2 - 1. Let b(o) = 2*o**3 - 123*o**2 + 2*o + 2. What is b(h) + 2*m(h)?\nAnswer: -2*h**3 - 125*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2201271 (base 8) to base 15.\nAnswer: -b9e81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - p**2 - p + (-2 + 2 + p - 2)*(13*p + 2 - 11*p + 29*p).\nAnswer: 30*p**2 - 60*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -1.4593114.\nAnswer: -2.9186228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z. Let x be i(-2). Suppose -3*q = -4*c - 3, -4*q - 15 + 0 = c. Sort x, c, -1 in increasing order.\nAnswer: c, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3 - -3.7. Let u = c - 5.5. Suppose 20 = -v - 3*v. What is the nearest to 1 in 0.2, v, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11110110221 - 12?\nAnswer: -11110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -30*p - 357. Let o be z(-7). Is o equal to -149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * 0.61\nAnswer: 0.549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-4) + 18\/(-24). Let p be (2 - (3 + c)) + (-1463)\/21. Let u = -71 - p. What is the nearest to 1 in u, 4, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 897 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (5 - (0 - (1 + -2))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2. Let t(o) = -2*o**3 + 7*o**2. Let h = -29 - -105. Let g = h - 62. Calculate g*x(k) - 2*t(k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656096 is divided by 6496.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2228159114.\nAnswer: 2, 53, 21020369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101696658.\nAnswer: 2, 3, 7, 345907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35268 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 333735331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3321*a - 5282*a - 166685 for a.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b - 5. Let f(k) = 4*k - 7. Suppose 0*t - 4*t + 97 = 5*z, 2*z + 26 = 2*t. Let l be (-4)\/t - 244\/36. Determine l*q(p) + 5*f(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101010 - 1?\nAnswer: -101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115458 and 1491.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -223 (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37965826?\nAnswer: 2, 18982913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -399, -504, -589, -648, -675?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a - 2*a + 3 - a + 6*a - 2. Calculate p(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 46685, 46674, 46641, 46574, 46461, 46290, 46049, 45726?\n\"Answer: -2*q**3 + q**2 + 46686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + q - 40 = -14, c = -5*q - 14. Suppose -j - m + 5*m = c, 2*m = 4. Let g be 27\/(-18)*j*-2. Solve -i - g = -4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 147 and 0.5?\nAnswer: 73.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 3\/(-6))*24. Let i(m) = m**3 + 15*m**2 - 7*m + 148. Let y be i(-16). Solve -c + y*c = p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 52 (b) 0 (c) -2\/7 (d) 2\/155 (e) 4309 (f) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 0.5, 1\/6, -1\/3, -4, -1.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-13 - -5) + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, o: 1, l: 1, a: 2, x: 1, d: 1}. What is prob of picking 1 a and 1 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 28 (b) -0.3 (c) 3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 4:48 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5167 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 5*m**2 - m + 1. Let z(f) = -2 - 182*f**3 - f**2 + 183*f**3 + f - 3*f**2 + 1. Determine 4*a(q) + 5*z(q).\nAnswer: q**3 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/4*z**2 - 1\/2*z - 5\/2*z**3 + 0 + 3\/4*z**4.\nAnswer: z*(z - 2)*(z - 1)*(3*z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -4*f - 2*i, 3*i = -2*f - f + 162. Suppose 5*u + f = 866. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 + 244 - 5*d**3 + 4*d**3.\nAnswer: -3*d**3 + 244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x. Let c(a) = -47998*a. Give c(f(m)).\nAnswer: 47998*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/14 - 96\/168?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -129 - -129. Is -1\/60 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v\/(v\/(((v**2*v)\/v)\/v)))\/v)**2*v**(1\/2)*v**(-1))\/(v**(-1\/10)*v**(-6))**15 assuming v is positive.\nAnswer: v**95","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 + (98 - 126) + (-4 - -13).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1973667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {h: 1, c: 2, j: 4, v: 1, s: 2, e: 4}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 8873.902 to the nearest one hundred.\nAnswer: 8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 10*g - 6. Let b be a(9). Let r(x) = -9*x + 4 + 10*x + x - b. Let n(z) = 2*z. What is -2*n(m) + 3*r(m)?\nAnswer: 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 454\/2043 - 2\/9. Let y(k) be the first derivative of 2\/3*k**3 + 7\/3*k**6 + 0*k**5 + 0*k**4 + 0*k**2 + 2 + h*k. Find the third derivative of y(z) wrt z.\nAnswer: 840*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 3158*z + 618259. Give f(185).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69769, 279709, 629595, 1119427, 1749205, 2518929?\nAnswer: 3428599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264150 + 136522 = -30*f + 162412. What are the prime factors of f?\nAnswer: 2, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*c + 179*c + 16220 = -946*c for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13\/6 (b) -15 (c) 1.28 (d) 3 (e) 1\/2 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4215676 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 656\/30 + (-4)\/(-270)*9. Let c = 38 - n. What is the greatest common factor of 208 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764623.\nAnswer: 764623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 222, -2\/11, 0.11?\nAnswer: 222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 64*y - 62*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/10 (b) 47\/4 (c) -2 (d) 789\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 222.62 - -0.38. Let g = h - 223.00000101. What is g rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173505675 divided by -5?\nAnswer: -34701135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -5, -0.2, -3, 2\/43, 9\/4?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2455637 (base 9) to base 10\nAnswer: -1336048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 20314352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 143128203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86463 is divided by 1764?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 478272 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 - (32 + (-17 - 38))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0 + (-1 + 3 - 3)*(1 - 1 + 1) - 3 - 1 + 5)*(-48 + 48 - 18*w).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g**2 - 2*g - 9. Let w be 468\/(-66) + (-9)\/(-99). Let x(y) = 4*y**2 + y + 6. Calculate w*x(i) - 5*r(i).\nAnswer: 2*i**2 + 3*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 2. Suppose -2*u - 1592 = l - x*l, -3*l = 4*u - 1216. Round l to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/3015 and 37\/20.\nAnswer: 12060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 3. Let r = n + 4. Let y be (-2)\/(-6) - 0 - (-2)\/(-4). Which is the nearest to 1\/3? (a) r (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, e: 2, w: 1}. Give prob of picking 2 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/1057320 and 97\/2970?\nAnswer: 1057320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -43764908178 and -9?\nAnswer: 43764908169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**4 - 12*i**4 + 4*i**4)*(-1 + 1 + 2*i) - 3*i**2 - 2*i**5 + 3*i**2 + (19*i**4 - 2*i**2 + 2*i**2)*(3 + 2*i - 3).\nAnswer: 30*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, b: 1, v: 2, r: 1}. Give prob of picking 1 p, 1 r, and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(78)\/(sqrt(48)\/(-1*sqrt(8))))**2 + (-2*(sqrt(13) + 0) + sqrt(117) + 2 + sqrt(13))**2.\nAnswer: 8*sqrt(13) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -863 and -861 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -723440 to the nearest one thousand.\nAnswer: -723000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3127323*s**5\/4 - 15624363*s**4\/4 - 21830013*s**3\/4 - 9296265*s**2\/4 + 9168*s - 9 = 0.\nAnswer: -3, -1, 2\/1021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2101312331 + 222320?\nAnswer: -2101030011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkk when three letters picked without replacement from {t: 4, z: 5, k: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, k: 7}. Give prob of sequence dk.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 7*h**4\/12 - 2*h**3\/3 + h**2\/2 + 116*h. What is the tens digit of v(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**3 - 7*a**2 + 12*a + 9. What is the remainder when l(-4) is divided by 32?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**7\/315 - 17*n**6\/180 - 37*n**5\/45 + 8*n**4\/9 + 128*n**3\/3 - 22*n**2 + 20*n. Let l(c) = 0. What is c?\nAnswer: -8, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1116808 divided by 814?\nAnswer: -1372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93857640?\nAnswer: 2, 3, 5, 782147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -w**6\/30 - w**5\/30 - 3*w**2\/2 + 2. Let c(q) be the second derivative of k(q). Find the third derivative of c(l) wrt l.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(35)\/sqrt(7) + 2 + sqrt(5) + (sqrt(45)\/sqrt(9))**2 + -1).\nAnswer: -24 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) -1 (c) 0.16 (d) 0.1417 (e) -3 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6205 + 6210. Solve -2*a = 2, -7 = -p*y + 5*a + 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.95 + 1.05. Suppose 4*u + 7 = -5*x, 5*u - 3*x + 0*x = -55. Which is the biggest value? (a) 4 (b) m (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 l when three letters picked without replacement from llllhpplllplhpppplp?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 16 - 6, -2*x + 3*d = 17. What is the remainder when 28 - (-2 - -2)\/x is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38218 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3. Suppose z = -i*z + 100. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 7. Let z(k) = -k - 4. Let f(a) = a. Let u(g) = 4*f(g) + z(g). Determine u(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.135744 to two decimal places.\nAnswer: -1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -3, 0.5 in ascending order.\nAnswer: -22, -3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-125)\/30*(-4)\/(-6) and (-1)\/3 - 112\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**3 - 28*i**2 + 73*i + 98. What is the tens digit of j(-23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h + 230 = 3*r, 0 = -2*h - 2*r - 444. Let g be h\/385 - (-6)\/15. What is the fourth smallest value in 2\/9, -1\/9, g, -2\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 2*x - f - 15, 2*f = 3*x - 21. Suppose -2*p = 5*d + 3 - 19, 2*d = 0. What is the smallest common multiple of x and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 0.3, -1\/3, -0.0319 in ascending order.\nAnswer: -22, -1\/3, -0.0319, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/4 (b) 1 (c) -11 (d) -0.5 (e) -571\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/11, -2\/9, -9, 4 in decreasing order.\nAnswer: 4, 2\/11, -2\/9, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 33*l + 397. Let g be d(-12). Let w(b) = -1. Let c(s) = 3*s - 4. Determine g*c(v) + 2*w(v).\nAnswer: 3*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 2*x + 4. Let k be r(4). Suppose -8*t = -217 + 265. Let q be 34\/t + 4 + k\/6. What is the biggest value in 0, -4, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.7. Let y be 0 - 3 - 94\/(-30). What is the nearest to 0.2 in -3, y, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 3*x - 4*x, -3*b + x = 1. Let q be (10\/5 + 0)\/b. Suppose i = -2*r - 21, i = -i - q. Which is bigger: -13 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 589 - 296. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -28. Suppose 6*v - z = 2*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: Let m be (1 - 71\/69)\/(5\/(-15)). Suppose -2*t = -x - 0*t - 9, 5*t = -3*x + 6. Let z be 66\/(-16) - -1 - x. What is the second biggest value in z, -3\/4, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 1 - (-192)\/3. Calculate the common denominator of -24\/11 and g\/(-16) + 134\/4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2955 and 223250250?\nAnswer: 223250250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-34)\/(-20) - 33\/(-110). Suppose 8*f - 31 = -b*y + 3*f, 0 = -3*y + 5*f - 16. Solve 17 = -y*v + 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + -5 + (sqrt(4) + -1*sqrt(28)\/sqrt(7))\/(5*sqrt(8)\/sqrt(4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2228914793.\nAnswer: 7, 47, 967831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -354088, -354093, -354098, -354103, -354108?\n\"Answer: -5*g - 354083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (1 + -13) - (-1 - -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 161, 4\/3, 7, 4?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -202*p**2 + 106*p**2 + 69*p + 99*p**2 as d*p**2 + s*p + r and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 892 is divided by 69?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -22175.1 rounded to the nearest one hundred?\nAnswer: -22200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4728*q**4 + 2*q**3 + 129071 wrt q?\nAnswer: 18912*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19288408*l*y**4 - l*y + 26*l - 2*y**4 - 2*y**3 - 15*y**2 + 2*y + 33 wrt y?\nAnswer: -462921792*l*y - 48*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**3 + 6*u**2 + 236*u + 1194. Calculate p(-5).\nAnswer: 664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 11*j**3 + 3*j**2 - j - 10. Let k(v) = 10*v**3 + 2*v**2 + v - 9. Let m(x) = 2*b(x) - 3*k(x). Let z(t) = -t**3 - t + 1. Calculate -m(r) + 5*z(r).\nAnswer: 3*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) 5 (b) -2\/7 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/(7 + 150\/(-24))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(153)*4)\/(1*sqrt(1296) - sqrt(9)).\nAnswer: -1 + 8*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccccccuucuc. What is prob of picking 1 c and 3 u?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 3)\/(8\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - 34 + 34.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**2 + 420*d - 1760 = 0. What is d?\nAnswer: -88, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8*k + 5*f = -85, -3*k - 2*f = -61. Let y = k + -10. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**5\/3 - 8*x**3\/3 - 4*x**2\/3 + 2*x + 4\/3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 498610.3 hours in microseconds?\nAnswer: 1794997080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 466\/14 + (132\/(-1155))\/((-14)\/(-35))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 + 68. Sort k, 23, -1\/3 in decreasing order.\nAnswer: 23, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1 = 3*y, -2*x + 4*y = -6*x - 8. Which is the second biggest value? (a) -4 (b) x (c) -4\/5 (d) -15.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1521*b - 1 + 1353*b + 765*b)*(-b**2 - b**2 + 0*b**2) as t*b**3 + x*b + u + o*b**2 and give t.\nAnswer: -1194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.3 (c) -124 (d) -493\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + c?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7001430 and 1334.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 30745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1649*p - 2492*p + 6286 = 132660 + 51689 for p.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 9*u**2. Let q = -199 - -685. Let l(r) = -9*r + q - 486. What is c(l(p))?\nAnswer: 729*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 11. Let n = -288.8 - -289. Which is the closest to -1? (a) v (b) n (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2714)\/(-69)*75\/(-100) + (-8)\/(-16)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44574518 and 188.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 6*j + 2 - 52 = 0, 3*j = 16*s - 14*s - 41 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 1, 48, -0.3 in decreasing order.\nAnswer: 48, 1, 1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 - 10*w**2 + 10*w**2 - 2*w**5 - 2*w.\nAnswer: -2*w*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.1 + 3. Let s = y - -2.4. Let t be -6*3\/(-12)*12\/18. Which is the third smallest value? (a) t (b) -1\/4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-72)\/(-130) + (-18)\/117).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1770265?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2635 + -58?\nAnswer: 2588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 88.13927 millennia?\nAnswer: 881.3927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + 3)\/3*7\/14. Let c = 4688 + -4534. Solve c*s - 153*s = -j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2945*l - 72 = -2936*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 8, 3397, 2, 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 + 10*h**2 + 4496*h - 9016.\nAnswer: -2*(h - 49)*(h - 2)*(h + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1 (b) -3\/4 (c) -0.2 (d) 106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/b**1*b*b**(-1\/2)*b\/(b*b*b**(2\/19)*b*b)*b\/b**(-4) assuming b is positive.\nAnswer: b**(129\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221 - -223321?\nAnswer: 223100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-83)\/((-6308)\/190)*216\/(-10).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6 - 16\/3. Suppose 0 = -2*r + 10, 41 = 3*u - 0*u + 4*r. Let z = y + u. Solve h = -0*k + k + 6, 9 = -z*k + h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 37 + 11. Let p = 20 - v. Let -3*l**4 - 4*l + 0*l**p + 4*l**2 - l**4 + 4*l**3 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -12. Solve -4*d - c = -p, 0*d + 15 = 3*d + 4*c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.479265 years to centuries.\nAnswer: 0.00479265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 11*b - 8. Let t be 31\/2*-5*b. Let g = 455\/3 + t. What is the common denominator of g and -61\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-2)\/(2 - 6)). Is t\/9 + (-1058)\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31000 - 17351. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22508 + -7?\nAnswer: -22513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3 + 4 + 2 - 6. Let s(j) = j + 2. Let v(i) = 4*f(i) - 6*s(i). Let w(n) = -n. What is v(w(o))?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c + 4. Let m be g(-4). Let z be 390\/m*16\/(-12). Suppose 0 = 2*u - z - 280. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/8*(-22)\/(-20)*(-17)\/((-3366)\/864)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 44.1. Suppose 0 = -4*z + 11 - 3. Which is the second biggest value? (a) 1 (b) z (c) -1\/3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 + j. Let x be i(0). Let s(f) be the third derivative of 5\/24*f**4 + 0 - 1\/6*f**3 - f**2 + x*f. What is s(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000066566724 to 7 dps.\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 607640.81 days in weeks?\nAnswer: 86805.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -74c35 (base 13) in base 10?\nAnswer: -210787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.908 - 0.092. Which is the closest to 3? (a) -6\/5 (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 31*k - 51. Let g be t(2). Solve 5*j = 2*p + g + 14, -5*j = 2*p - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -6 - -10) + -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -11.5. Let u = -1.97 + -0.03. Which is the biggest value? (a) 1 (b) y (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -48\/11 (b) -0.11 (c) -0.122\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10303696 and 416?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3065096927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6946724 or -6946721?\nAnswer: -6946721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 30 - 18 + (1 - 1 + 2)*(0 - 5 + 4))*(c - 2*c + 2*c)*(-2*c - 2*c + 3*c).\nAnswer: -34*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 1. Let u(j) = 249*j**2 - 664. What is -1992*r(w) - 3*u(w)?\nAnswer: -747*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2926924 and 308?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 4:21 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 115481 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: (3\/(-12))\/(58 + (-80025)\/1380)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*z + 5*y = 1112, -3*y = -2*z + 735. Let k = -234 + z. Suppose -h = n - 0*n - 47, 0 = 3*h + 5*n - k. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 753*t*y**4 - 11452*t*y**2 + 12*t*y - 8677*t + 44*y - 1 wrt y?\nAnswer: 9036*t*y**2 - 22904*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3048 divided by -4.\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -30*h**5\/7 + 589212*h**4\/7 + 1532130*h**3\/7 + 471456*h**2\/7 - 471432*h\/7 = 0. Calculate h.\nAnswer: -2, -1, 0, 2\/5, 19643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*c = -25, -4*v + 12 = -c - 8. Let g be 0 - (-1 + (-2)\/(-2)). Suppose 3*q + 15 = -g*q. Sort q, v, -3.\nAnswer: q, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2 - 532*j + 1948654 = 0. What is j?\nAnswer: -1129, 863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**4 - 3968*t**3 - 35484*t**2 - 94432*t - 62912 = 0.\nAnswer: -983, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1111101001111 (base 2) to base 6\nAnswer: 101035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t - 11. Let j be -3 + 0 - (-2 + -1). Suppose 3*w - 5*w - 30 = -2*m, 5*w + 10 = j. What are the prime factors of c(m)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4 + 1868*s**3 - 462786*s**2 + 12202192*s + 12666848 = 0. Calculate s.\nAnswer: -1, 31, 452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v**3 - 6*v**2 + 4*v + 2. Let h(y) = 12*y**3 + 13*y**2 - 9*y - 4. Calculate -4*h(p) - 9*j(p).\nAnswer: 6*p**3 + 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 6.07. Let s = 55.07 + l. Let n = s + -55. Which is the nearest to -1\/3? (a) 4 (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.4? (a) 54\/13253 (b) 2\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.076 + -0.07. Let u = n - -0.0145. Round u to 3 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - 2*6\/4. Let p be 6\/(-12)*(-4)\/f. Which is the second biggest value? (a) -1\/9 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -120.512 + 5.69.\nAnswer: -114.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 7:24 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -86287, -94109, -101931, -109753?\n\"Answer: -7822*h - 78465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 384 = -120. Let j = 137 - a. Solve 4*o - j = 3*o - 3*n, -4*o - 4 = 4*n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 34 = -29, 0 = 3*o + 3*l - 4653. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4455743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-6))\/((-1)\/(-2)). Let d be (u - 8)\/5 - -2. Put d, 5, -1 in ascending order.\nAnswer: -1, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 5*i + 1. Let t be m(4). Let r be (9\/14)\/((-6)\/(-21)). Which is the second biggest value? (a) t (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 32*a + 356. Let v be l(-11). Sort 37, v, 0, 2 in descending order.\nAnswer: 37, v, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2)**(46\/7)\/((x\/(x\/(x*((x*x\/((x*x*x*x**(-1\/8)*x*x*x*x*x)\/x))\/x)\/x))*x)\/(x*x\/x**(-6\/5)*x)) assuming x is positive.\nAnswer: x**(6221\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35706, 35569, 35432?\nAnswer: 35295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**33\/(s\/s**(-8\/3)) assuming s is positive.\nAnswer: s**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 2327765?\nAnswer: 16294355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4008 divided by 4\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*u - 20, 6*u - 2*q + 44 = u. Let y be (-72)\/(-80) + u\/10. Suppose 5*s + 6 = 1. Which is smaller: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -573 (base 8) to base 3\nAnswer: -112001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 94635*f**2 - 735844824*f - 165720316068.\nAnswer: -3*(f - 15882)**2*(f + 219)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f + f - 72 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94.82 + -96. Let h = s + 1.08. Let l be 20\/(-6)*6\/(-4). What is the nearest to h in l, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -65 - -1716a5?\nAnswer: 171640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 - -67. Let y be 6\/q + 217\/28. Suppose y*i - 80 = 109. What is the smallest common multiple of 6 and i?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + 0*r**2 + 2*r**2 - 2*r**2 + r - r + (-1 + r + 1)*(-1 - r + 1) + (-12*r**2 - 3*r**2 + 6*r**2)*(-1 + 1 - 1).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*x - 2404 = -64 for x.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 329667865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39562208?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*b**2 + 0*b - 53*b**2 - 5*b + 2*b.\nAnswer: -b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (-2216)\/(-112) - 286\/(-28).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 10) in base 9?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1349083 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -5*o**4\/8 - 10*o**2. Calculate z(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2543 is divided by 161.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 339155768 to the power of 1\/2, to the nearest integer?\nAnswer: 18416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 124777.1 millilitres?\nAnswer: 124.7771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/19? (a) 4\/5 (b) -4\/9 (c) 199062\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajyyjjyyyjjyyej. What is prob of picking 3 j?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -29*(5 + -6) + -7. Calculate the highest common factor of 374 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -2*(-248)\/(-64)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/j**(-1))\/j)**(-36)*j**3*j*j*(j**(6\/5)*j)\/j assuming j is positive.\nAnswer: j**(-329\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/360072 and -13\/180036.\nAnswer: 360072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 4, -0.5, -4, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -852 in -0.05, -5, -4, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4*n - 2 + (-4 - 2*n + 4)*(6 - 3 - 1) + 10*n - 9 + 26 - 12 to the form v*n + g and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/5? (a) 185.2 (b) -2\/9 (c) -34 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6193 is divided by 3092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 248126.61 months?\nAnswer: 2067.72175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3370 (base 8) to base 9.\nAnswer: -2402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -13*i. Let z be (-22)\/(-24) + (3330\/108)\/(-37). Let y(r) be the third derivative of z*r**4 + 0*r**3 + 0*r - 2*r**2 + 0. Give y(j(v)).\nAnswer: -26*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/33 (b) 2\/9 (c) 89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/7)\/(1360\/(-1435828254)). Let h = -452467 - f. Let g = 1\/85 - h. Sort 2\/13, 2\/7, g in decreasing order.\nAnswer: 2\/7, 2\/13, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 833.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 13*p**2 + 3*p - 16. Let b = 33 + -36. What is the units digit of y(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7 = -1. Let o(h) = -3*h - 3*h**3 + 3 + 175*h**2 + 16*h**3 - 1 - 7*h**3 - 173*h**2 - 4*h**3. Give o(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 43097610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6)*(8 + (-2 - 3)). Calculate the greatest common divisor of 7 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 200 = 3*m. Suppose -3*h - 10 = -m. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 11. Let n be m(9). Let v = n + 19. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, -1, -7 in descending order.\nAnswer: 61, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by -7.\nAnswer: 58\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n - 3. Let j be l(2). Let r be ((-3)\/5)\/((-1)\/j). Solve 2*v - r = -11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3225660251?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*p**2 + 132*p**2 + 76*p**2 + 133*p**2 - 771*p**2 + 133*p**2 + 132*p**2.\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 11*m**4\/12 - 17*m**3\/2 - 30*m**2 + 2. Let x(h) = 7*h - 18. Let v(l) = 6*k(l) - 17*x(l). Let r(a) = 3*a**2. Give v(r(j)).\nAnswer: 39*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15151*o + 15357*o + 648 + 2111 = -537 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((125\/(-30))\/(350\/(-42)))\/(4 + (-2605)\/650)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**2 + 3*l - 17. Let j(x) = 3*x**2 - 2*x + 9. Let n(q) = 7*j(q) + 4*y(q). List the prime factors of n(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 9*k + 18. Let l(r) = -3*r**2 - 17*r + 35. Let s(v) = 2*l(v) - 5*p(v). Let u be s(9). List the prime factors of (-2)\/3*12*5\/u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -441.97 - -440. Let m = h - -3.97. Is m at least as big as 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**4 - 91120*c**3 + 1729672*c**2 + 3732720*c + 1911924 = 0. What is c?\nAnswer: -1, 21, 22761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20\/59 or -2196?\nAnswer: -2196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/20)\/((-15)\/(-50)). Suppose 2*p = y*j - 5928, 0*j + 5*j = -4*p + 7384. Suppose -12*x + 4*x = -j. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -464?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 328 and 20.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 3*o**2 - 12*o - 6. Let w be u(-5). Let s = -4 + w. Suppose 3*v + 2*j - 4 = s, -2*v - 7 = -2*j - 3. Is v <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41 by 86417.\nAnswer: 41\/86417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16010 + 25?\nAnswer: -15985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -1 - (2 - 1) - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 433925038 to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8181, 8179, 8177, 8175?\n\"Answer: -2*x + 8183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 762925*a - 762914. What is y(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*y - 50 = 38*y. Let z(r) = -3*r + 135. Does 15 divide z(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -38*u - 499. Let m be z(-13). Let i = 12 + -9. Sort -0.3, 6\/5, m, i in decreasing order.\nAnswer: i, 6\/5, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 3 + 3)*(7 + 4 - 7)*(22 - 88 + 28 - 161).\nAnswer: 1592*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112867?\nAnswer: 59, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*s**4 - 84220966*s**3 + 581669374*s**2?\nAnswer: 72*s - 505325796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 272 - 160. What is the greatest common divisor of o and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(3) + -3 + 1 + sqrt(3))**2.\nAnswer: -20*sqrt(3) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*((3 - 4) + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1161062.341 + -1150.659. Let m = -1162223.00014 - n. Let z = -10 - m. What is z rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -5*v**3\/3 - 13*v**2\/2 - 11*v. What is the first derivative of o(z) wrt z?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(-7)*((g\/(g\/(g*g**(12\/5))*g))\/g*g)\/g**(-1\/6) assuming g is positive.\nAnswer: g**(-133\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3503.\nAnswer: 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16278\/35 - -3258\/7. Are 1 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ggggggrrgrrrrgggrgg.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - r**4 - 2*r**2)*(0 + 3 - 4) - 1200*r**3 + 209*r**4 + 1200*r**3 - 1 - r**4 + 1.\nAnswer: 209*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (6 + -4 - -5)) + 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 79 + 34 + -74 + -13\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d**3 + 18*d + 62. Is 15 a factor of g(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, m: 7}. What is prob of sequence mmmy?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*q + 5*i - 29, 4*q - 32 = -4*i. Suppose 10 - q = 2*l. Solve -l*u = 2*u - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -21. Find the first derivative of 20 - 16*z**q - 6 + 9*z**2 wrt z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -1\/2*j**3 + 29*j**2 + 0*j + 0 - 77\/12*j**4. Is l(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w**(-1)*w)))\/w*w)**(10\/3)*(w*w**(1\/2)*w)**(-1\/4) assuming w is positive.\nAnswer: w**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) 0.2 (c) -0.3 (d) -2\/3 (e) -107973 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169181 is divided by 232?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(6\/(-45))\/(4\/25). Suppose 0 = -2*i - 3*v + 694 + 11889, h*v - 6302 = -i. Suppose 0*j - 5*j = -m - 10500, -2*m + i = 3*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m + 5. Let y be w(5). Let q = y - -9. Let f be (-4)\/q*18\/12. Calculate the highest common divisor of f and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37640647955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001070714 rounded to 7 dps?\nAnswer: -0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11024 (base 8) to base 16.\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v - 2*v + 3*v)*(3*v**2 - v**2 - 3*v**2)*(0 - 5 + 1) + (11 + 6*v**2 - 24 + 15)*(-7*v - 9 + 9) in the form l + q*v**2 + y*v + x*v**3 and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 6*n - 6. Let p be g(-7). Let j(r) be the second derivative of 3*r**3 - r**2\/2 - 3*r. Is j(p) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 2*x + 3*x)*(-x**4 + 0*x**2 + 0*x**2) + 2*x**4 + 8*x**4 - 93*x**5 + 85*x**5 - x**5 - 27 + 27.\nAnswer: -8*x**5 + 10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -2*(-5 + -2)\/(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9b + 7455?\nAnswer: 7534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -15*l**2. Suppose -376*p = -371*p + 40. Let k(h) = 20*h + 10. Let x(q) = 29*q + 16. Let z(j) = p*k(j) + 5*x(j). Give a(z(n)).\nAnswer: -3375*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 25*a. Let m(v) = 2*v - 3. Let o(t) = -4*t + 5. Let b(s) = 5*m(s) + 3*o(s). Determine b(g(d)).\nAnswer: -50*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -12*f**3 - 6. Let j(q) = 13*q**3 + 5. Determine -6*j(t) - 5*x(t).\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1946 = 834*w - 4739 - 3879 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s + 2. Let c(a) = 12328*a + 14. Calculate -c(l) + 8*x(l).\nAnswer: -12344*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 12 - 5 - 177*w + 3*w**2 + 178*w. Let v be c(8). Calculate the greatest common factor of v and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 z when four letters picked without replacement from dmgddddddddpzmzd?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 + c**5 - c**5 + (-4*c**2 + c**2 + 4*c**2)*(35 + 21*c**3 - 35) + 4*c**3 + 567*c**5 - 557*c**5 - 2*c**3.\nAnswer: 32*c**5 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - -3) + 72\/9. Suppose 11 = -m*x + 2*s, 12 = 3*s + s. Let t = 0.3 + -0.6. Which is the closest to -0.1? (a) t (b) 3\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 71, 28, -43, -148, -293, -484?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynygggagggnne. Give prob of sequence gn.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from ssfssf?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - (10 + -7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - v + 55. Let s be r(-20). Let u = s + -984. Let c = -276 - u. Is 25 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1255*n**3 - 1352*n**3 + 194*n**3.\nAnswer: -2413*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -802 (b) 0.3 (c) -4.4 (d) 0.2 (e) -4\/113\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -471 + 472. Let z be 6\/(24\/8)*1\/m. Solve -z = -y - 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4118 - 4115. Solve 7 = 4*h + m*w, 5*h = -4*w - 6 + 15 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296*w = -297*w + 7. Let l(p) = -4*p + 3. Let d(v) = -9*v + 7. Determine w*l(q) - 3*d(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**2\/6 + 77737*l\/6 + 3920618\/3 = 0?\nAnswer: -77636, -101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, 5, 9, -1\/7, -550, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2825414 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85 - -81. Sort -3, g, -2, -5 in decreasing order.\nAnswer: -2, -3, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252737041 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/71776 and -57\/2144.\nAnswer: 4808992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1589)\/(-908)*(-4)\/(-14)*(-1)\/(-11)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (26\/(-6))\/((-2)\/6). What is the tens digit of 3 - 5 - b*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8310737794 + 0.04186\nAnswer: 8310737794.04186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s + 15*s + 12 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/20 - (-3584)\/40. Find the third derivative of v - 45*c**2 + 2*c**3 - 89 - 26*c**4 wrt c.\nAnswer: -624*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(190) - -4*sqrt(190))\/sqrt(10))**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/8 - 9001827*d**2 - 1296526301421477*d\/8 - 1296526157392249\/4.\nAnswer: -(d + 2)*(d + 36007307)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492061988.\nAnswer: 2, 11, 47, 97, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*i = 117*i - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 321 and -287.\nAnswer: -92127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 3\/1462039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-406)\/28 + (-15)\/6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-8)\/(-3))*6 - 5257\/(-10514). Sort 0.1, d, -0.3, 7, 1\/6 in descending order.\nAnswer: 7, 1\/6, 0.1, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/297 - ((-120)\/44)\/15.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 2*y**2 - 2*y**2 - 2*y + 2*y + (-4 + y + 4)*(-y + 0*y - y) + 2*y - 2*y**2 - 2*y - 16*y + 4*y + 3*y - y**2 as i + d*y**2 + z*y and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, 2\/5, 4, 0.04023, 3, -4?\nAnswer: 0.04023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -366 - -3?\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*j + 133*j = -648. Which is greater: 6 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/12)\/((-4)\/(-144)). Let r be -10 - -2*t\/(-6). Is r at least as big as -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -1124. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42 + -13244746?\nAnswer: -13245010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.529 + -0.629. Which is smaller: 47 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*a + 27*a - 3*s - 60, -5*a - 4*s = 60. Let r be (176\/12)\/2 - a\/(-9). Calculate the highest common divisor of r and 318.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*k - 31756 = 199*k - 845*k - 77*k for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 16. Let n be j(-5). Is n greater than -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeeveeeeeeeeevveveee?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 79. What is the greatest common factor of 13 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691.5345um in centimeters?\nAnswer: 0.06915345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4370?\nAnswer: 2, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2756787 - 36*l**2 + 2756776 - 5513563 + 2*l.\nAnswer: -36*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306507 and 27341?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 40 = -2*i, 4*q = 2*i + i + 45. Which is greater: 11 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22623.34576 to the nearest integer.\nAnswer: 22623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*1\/2*-11. Let z = n + 37. Suppose -8*a = -z*a - 216. What is the remainder when a is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 6 + 0 = 0. Let v(z) = z**2 + 3*z + 4. List the prime factors of v(h).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i - 11. Let r be h(5). Let f = r + 5. Let m = -2 + f. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, s: 3, r: 7}. What is prob of picking 1 s and 1 c?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 41*o**2 + 179*o - 4. Let z be q(-36). Solve -30*a + z = -22*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23909069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 6. Suppose 0 = w - r, -w = -3*s - 4*w + 15. Solve -c = c + 5*q + 2, 2*q = s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51 + -41)*(-2)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0166186 rounded to 4 dps?\nAnswer: -0.0166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 193\/79881960 and 101\/19970490.\nAnswer: 79881960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -4) + (-69 - -70 - (1 + 6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -21. Factor 7*i**2 - c*i**2 - 7*i**2 - 5*i**4 - 20*i**3.\nAnswer: -5*i**2*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.584 + 5.644. What is the closest to -0.2 in l, 0.3, 34\/7, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17456 divided by -657?\nAnswer: -17456\/657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9 + 2453\/11 + (-3 - 1). Let l = -214 + u. What is the remainder when 88 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 127*r**3 + 4*r**2 - 5. Suppose 0 = -0*i - 9*i + 27. Let p be t(i). What is p rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 + 5)*(p + p - 14*p + 4*p - 5*p + 0*p + (2 - 2 + 1)*(2*p - 2*p - p) + 2 - p - 2).\nAnswer: -150*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(425) + 3*(sqrt(425) + -1) - sqrt(425)) + 3*sqrt(425)*-2*-1)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssisisss. Give prob of picking 2 s.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 - -1)\/(0 + 2). Let h = -1063 - -1045. Sort -4, h, n, 4.\nAnswer: h, -4, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*u = 3 - 1, -v - 2*u = 1. Suppose v*l - l - 5*x = 35, 79 = 5*l - 4*x. What is the remainder when l is divided by (-3)\/(30\/16)*-5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 136.4 + -176.\nAnswer: -39.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-829*m**2 + 829*m**2 - 42*m**3)*(-3 - 2 + 2)*(-6*m - 3*m + 3*m).\nAnswer: -756*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 1 = 6, -r = 4*t + 9. Is 1440 - (3 + (r - -3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 2*g + 2 + 6)*((-2 - 3 + 3)*(3*g + 6*g - 4*g) + 4*g - g - 5*g) to the form i*g + y + t*g**2 and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1509288 or -1509301?\nAnswer: -1509301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 12*f - 14. Let b be x(10). Let z(i) be the second derivative of -2*i**3\/3 + 4*i**2 - 1741*i. Determine z(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*m + 3*m - m)*(-3 + 4 + 1) - 2 + 2 + m)*(-56 - m**4 + 88 - 44) + 2*m**5 + m**5 - 2*m**5.\nAnswer: 2*m**5 + 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 0*k**2 + 0*k**3 + 10*k + 5 - 1\/4*k**4. Find the first derivative of b(v) wrt v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.756896 milligrams to kilograms.\nAnswer: 0.000009756896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1421*o = 1399*o + 214 - 16 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*n**2 + 15*n**2 - 29*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3490*x**2 - 1744*x**2 - x - 1746*x**2 - 6*x**3 + 8*x**3 + 87*x**3.\nAnswer: 89*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 - j + 3. Let p(n) = n**2 + 1. Let d = -5 + 12. Let a be (-5 + 5 - -1)*-9. Let v = a + d. What is v*l(u) + 5*p(u)?\nAnswer: -u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 245865\/(-10632)*(-48)\/15?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7715, -7873, -7947, -7943, -7867, -7725, -7523?\n\"Answer: -x**3 + 48*x**2 - 295*x - 7467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 2 - (-1 + 1). Let l(t) = 0 - 18*t + 20*t - s. Calculate l(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 12:25 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426177?\nAnswer: 3, 47353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 270214770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 241 + -229. Suppose -c + 2*c - d = 3, 0 = -4*c + 3*d + p. Calculate the highest common factor of c and 219.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 4*a + 3. Calculate u(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + (sqrt(11) + 2 - sqrt(11)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 8*q**2 + 7*q + 4. Let f be o(7). Let l be 5 - ((11 - f) + -4). Suppose -928 = -6*d - l*d. What are the prime factors of d?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + x - 24 = 0, -2*u + 4*x - 4 = 4. Let o = -1 - 0. Suppose 7*y = -8*y. Which is the closest to o? (a) y (b) -0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 10:39 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 194062 = -5*g, 2*g - 68147 = -5*w + 9484. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -26004902, 2?\nAnswer: -26004902","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) -12\/55 (c) -71046\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**4 - 49053*t**3 + 267371550*t**2 - 485903197500*t + 485635875000 = 0. Calculate t.\nAnswer: 1, 5450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 84*w = -1890. Calculate the remainder when 317 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 15*s - 14. Let c be w(16). Suppose 0 = c*x - 0*x - 4. Let q be (2 - x)*1\/(-2). Sort 1, 5, q in increasing order.\nAnswer: q, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110410 + -31?\nAnswer: -110441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2302*j**2 - 281*j**3 - 2*j**4 - 12 - 2303*j**2 + j + 348*j**3 in the form d*j + m + l*j**2 + f*j**4 + y*j**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 418*r - 16 = -420*r, -2*r = 6. Which is the nearest to i? (a) -7 (b) -3 (c) 4 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -175, -52.\nAnswer: -175, -52, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 2*j - 1095, 7*x - 4*x - j - 646 = 0. Suppose 18*v = x + 719. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42925 is divided by 2860.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1559\/13 + -120. Which is the fourth smallest value? (a) 2\/5 (b) q (c) 2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -19, -40, -79, -142, -235, -364?\nAnswer: -535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 2*s**2 + 3*s - 2. Let y be k(2). Suppose -2*i = -2*p - 2, -i - y*p - 4 = 3*i. Solve -w - w + 4*n + 2 = i, 3 = 3*w - 3*n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2227 + -1033. Let d(z) = -31*z**2 + 7*z + 4. Let b be d(-5). Let w = b - j. What is w rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 8*z - 120. Suppose m - 5 = -2*q, 2*m + z = 4*q + 3*m. Let y(f) = f**3 - 5*f**2 + 2*f - 6. Give y(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, n: 3, c: 1}. What is prob of sequence cn?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -314 + 64\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(160)\/sqrt(5)*-3 - (6*(3 + sqrt(32))*-6)**2.\nAnswer: -53136 - 31056*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**6\/900 - f**4\/60 + f**3\/3 + 2*f. Let i(u) be the second derivative of t(u). Factor i(y).\nAnswer: 2*(y - 1)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 6*f - 3. Determine n(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1. Let a(i) = 21*i. Let o(d) = a(d) + 4*s(d). What is the units digit of o(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, m: 4, t: 4}. What is prob of sequence mu?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 258 and 26718738.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1751.1 - -0.01.\nAnswer: -1751.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-300)\/750 + (-1 - 8964\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 21. Suppose -7*t - 8 = -b*t, t = 3*v + 64. Let m be v\/10 + 12\/20 + 1. Is -0.1 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.582 rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -50. Let k be -2 - (1 - (-3 + 55)). Let v = k - 73. Do v and j have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -108 - -107.7. Let p = 787 + -786. Put p, -53, j in increasing order.\nAnswer: -53, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/13)\/(-6)*(4*-3)\/6?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/7412328 and 127\/162.\nAnswer: 66710952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - -21 - (1 - -1). Let m = h + -8. What is the remainder when 2 + -9*(-2)\/1 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2636\/735 or -3?\nAnswer: -2636\/735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 10:03 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + (-32)\/6)*30\/(-25). Solve -9 + 1 = v*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3714*w + 3716. Calculate b(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -84, -82, -80?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 3*a**2 + a + 1. Suppose 4*n = 597 + 711. Let s = n - 329. Give u(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 17. Let r = -13.7 - -14. Which is the third smallest value? (a) m (b) -0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*a**2 + 14*a**2 + 125 + 16*a**2 + 12*a**2 to o*a**2 + j*a + k and give k.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*v + 1. Suppose -v*r - 2*k = -22, k + 0*k - 1 = 0. Solve -6*m - 15 = -m - h, r*h = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443697.9226 rounded to the nearest 10000?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -204, -397, -650, -963, -1336, -1769?\nAnswer: -2262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 17 = 2. Suppose -3*j = -5*w + 2, -a*w + j + 0*j - 2 = 0. Let h be (w - -3) + 15\/(-13). What is the smallest value in h, -2, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 110*x**2 - 2799*x + 181. Let c be m(-70). Determine n, given that -153\/4*n**3 - 15\/4*n**4 - 225\/2*n**2 - c*n - 18 = 0.\nAnswer: -6, -2, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01893 - -0.014083. What is q rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 3:46 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 43\/3. Let r = -1.961 - 0.569. Let v = -2.93 - r. Which is the biggest value? (a) u (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 32850.6 (b) 5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 18*s**2 - 3*s - 24. Let t be g(-18). Suppose 2*x - t = u, 4*x + 3*u - 56 = 4. What is the first derivative of 11 + 7 + x*f**4 - 8 + 3 wrt f?\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*o - 5*o = 22*o - 550 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 - -0.72. Let v = r - 0.0200005. Round v to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85679481?\nAnswer: 3, 661, 43207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x. Let m be 8\/4 + 2 + -10. Let k(u) = u. Determine m*j(n) - 21*k(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1020)\/(-1191870)*(-57)\/(-3)?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -45*z + 26 + 136*z + 6*z. Let h be p(12). Round h to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263277797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**29*n*n**(-22) assuming n is positive.\nAnswer: n**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 13 = 5*n - 27, -3*n - 24 = -5*b. Let s be (1\/1)\/(b\/78). Solve -2*m + s = 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*m*u + 842537346*m + 3*u**2 - 36045*u wrt u.\nAnswer: -10*m + 6*u - 36045","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g - 8 = 0. Let h(w) = -w**3 - 3*w**2 + 2*w - 12. Let s be h(-5). Suppose z = 8*z - s. What is the third biggest value in 3, g, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-72)\/81)\/((-4)\/18). Solve -5*m - 20 = -5*o - 5, 0 = 3*m + g*o - 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 7 - 1. Let c(b) = -2*b**3 - 4*b**2 - 2*b. Let r be c(g). Suppose w + 2 = -0*w. Put w, 5, r in decreasing order.\nAnswer: 5, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 494 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwcwcccwwccc. Give prob of sequence cwcc.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -921.164.\nAnswer: -920.764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50610 divided by -6.\nAnswer: 8435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -391 - -397. Let i = y - -29. What is the remainder when 67 is divided by i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -7*n**2. Let p(j) be the third derivative of -j**7\/2520 + j**5\/15 - 5*j**2. Let x(l) be the third derivative of p(l). Give m(x(a)).\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0674217 - -5.6674167. Let x = 5.6 - t. Round x to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*u - 1445 = 0, -59*u + 62*u = f - 285. Suppose f*t = 300*t - 108. Solve t*h = 7*h + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.26 + 1596\nAnswer: 1596.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m. Suppose 3*u = 5*c - 1 - 2, 5*u - 11 = 3*c. Suppose -o - 1 = -c. Let t(j) = o*j + 0*j - 4*j. Calculate s(t(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2, 0.2, 353\/6, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owow when four letters picked without replacement from {w: 7, o: 6}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 735\/70*(-90)\/(-27).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2545 at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1207\/12 - -304\/3. Put 2, u, -0.0033 in ascending order.\nAnswer: -0.0033, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20916 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 782 and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 6:17 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 11*o**8\/120 - 37*o**7\/840 - o**6\/180 - 13*o**3\/6 + 27*o**2 + 3*o. Let a(m) be the first derivative of q(m). Factor a(v).\nAnswer: v**2*(7*v - 2)*(22*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*d - 119*d = -896. Sort 1, -2, 6, d.\nAnswer: -2, 1, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = y - 2*h + 5, -5*h = -25. Let s(a) = -a**2 - a + 3. Let n be s(y). Let m be 0\/(21\/210*-10). Solve l = -4*z - m*l - 2, n*z - 6 = 3*l for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 16*x**2 - 12*x + 195. Is s(-109) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320110330022 (base 4) in base 2?\nAnswer: 111000010100111100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6 - (-32)\/(-36). Which is the third smallest value? (a) u (b) -0.04 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 5*m + 25, 0 = -1607*d + 1614*d - 4*m - 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.1 - -19. Let n = 64168.89939 - 64168. Let k = n - j. Round k to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 27. Suppose 4*b - m - 98 = 0. Calculate the remainder when b is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 9 = 4*y, 3 = 5*w + 38 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.334 + 2.69. Let x = 8 - b. What is x rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 4 = -c, -4*m - 5*c + 3246889 - 3246872 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 1\/60*h**5 - 8\/3*h**3 + 0 + 6*h**2 + 0*h**4 + 0*h. What is the units digit of c(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1633424 and 402.711056?\nAnswer: 1633021.288944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x. Let a(t) be the first derivative of 2*t**2 + 13*t + 1. Let j(d) = -2*d - 6. Let v(g) = 6*a(g) + 13*j(g). Let k = -6 + 4. Give k*v(u) + 3*h(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/6 + (-6)\/(-9). Suppose -2*r - c + l = 0, 0 = -4*r + 2*c - 7*c + 9. Let q(y) = 6*y**3 - 2*y**2 + 2*y - 1. What is q(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.41585, 0.07, 222?\nAnswer: -0.41585","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 4 = -5*v - 10, -2*v = -5*z + 24 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3 (b) -14 (c) 1\/64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-10) - (-4084)\/20. Suppose 0 = -7*d + 608 + h. Is 29 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 + 4*h**2 - h**3 - 3*h - 2*h**2 to m*h**3 + d + v*h + o*h**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1163472 - 1163472 - 7*m**3.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -3*z**4\/4 + z**3\/3 - 3*z + 7. Does 29 divide f(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12509.417432 - 12749.41743037. Let m = j + 240. Round m to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 38*k**3 + 7*k**2 - 6*k - 6. Is c(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 47*j + 794. Let q be d(-16). Solve -8*b = -2*b - q for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130667 is divided by 32161.\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20063*a + 19754*a + 22248 for a.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76456 is divided by 19105.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-280)\/175 + (-9)\/(-5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 204.5374 + -0.4974. Let u = 204 - p. What is the nearest to 0.1 in -2\/11, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 770247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1469*t**3 + 230*t - 461*t + 231*t + 1577*t**3.\nAnswer: 3046*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(2\/1) - -1. Suppose -5*s + 50 = -65. Suppose -33 - s = -g*f. Calculate the greatest common factor of f and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 6*b - b)*(-6 - 8 - 2 + 18) in the form j*b + k and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 579496*r - 579493*r - 120 = -5*f, -4*f + 96 = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cippbcv. Give prob of sequence pcp.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*j - 124*j + 80 = 26. Put 0.2, j, 0.6, -2\/119 in decreasing order.\nAnswer: 0.6, 0.2, -2\/119, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-426)\/(-24) + (-79)\/(-316). Solve 21 = j*g - 69 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 42*i**3 + 3. Let m(j) = 2*j**3 + j**2 + j. Give -a(h) + 4*m(h).\nAnswer: -34*h**3 + 4*h**2 + 4*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 555354, 2221190, 4997584, 8884536, 13882046, 19990114, 27208740?\nAnswer: 35537924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 + -49. Suppose 6*o - 7*o - 5*n - 1190 = 0, 0 = -3*o + f*n - 3513. Let w = o - -1654. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26804, -26865, -26940, -27035, -27156, -27309, -27500?\n\"Answer: -f**3 - f**2 - 51*f - 26751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c + 2*c**2 + c + (5 - 3 + 0)*(-179038*c - 1270*c**2 + 179038*c) to the form u*c**2 + m + k*c and give u.\nAnswer: -2538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/257 (b) -0.07 (c) -0.4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/2? (a) -2\/15 (b) -5 (c) -13.1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*o + 55 = 0, -3*o + 5*o = -4*f - 78. Let p be f\/25*-10*1. Solve -7*q = 1 - p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*u + 1680, -4*u - 4*z = 38 - 1382. What is the remainder when u is divided by 115?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**6\/120 - 11*y**5\/5 - 4705*y**4\/24 + 14*y**2 - 265. What is the second derivative of d(f) wrt f?\nAnswer: 6*f - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 2446*t**2 - 744182*t + 2254614.\nAnswer: -2*(t - 3)*(t + 613)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 1376545*x**2 - 1376550*x**2.\nAnswer: -5*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**2 + 33*u**2 - 16*u**2 + 7*u**2 + 46*u**2.\nAnswer: 83*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1977790 divided by -197779?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -19. Let p = z + 68. Calculate the highest common divisor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 220*r**2 - 1429?\nAnswer: 440*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 12899997 = -0*w + 3*x, -2*x - 21500002 = -5*w. What is w rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-52))\/((-9 + 8)*3).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 41 = -10*x, 11*a - 5*x - 40 = 16*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d + 3 + 36 - 7 = 2*p, 4*d - p + 14 = -2*d - 0*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 3, 0*b + 47 = 53*b - i + 2*i + 527 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-5)\/((-201)\/(-201))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 796 != -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, x: 8}. Give prob of picking 1 x and 1 h.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 234*s**2 + 3*s - 4. Is v(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 8 + 15 - 187338*a**3.\nAnswer: -187338*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27.01 - 0.01. Let p = j - 28. Let a be (10\/8)\/(1\/(-4)). What is the smallest value in a, p, -2\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 7*n - 7. Let k be z(-8). Let h be k + (2 - (-15)\/3). Let v = 12 + 52. Calculate the greatest common factor of h and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61.3 + 13.7. Let k = 25 - u. Let d = k - -49.58. Round d to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.7, 0.1463, -3, 2, -4?\nAnswer: 0.1463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 6)\/(0 + -1). Let a be f*(-52)\/8*2. Let c = -2 + a. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 99, 93, 85, 75?\n\"Answer: -o**2 - 3*o + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -2 + -18 - 9 - -19\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26294, -26296, -26298, -26300, -26302, -26304?\nAnswer: -26306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -474ba (base 12) to base 2\nAnswer: -10111011000001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*c - 12, 0*c + 4*c = -4*w + 72. What is the remainder when (-1)\/((-4)\/w)*4 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + -2 + 6\/(24\/19). Let u = 0 - -1. Which is the nearest to u? (a) g (b) -1\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyyzyzyyzzzzzzzz. Give prob of sequence zyy.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 4.3. Let d = -0.5 - 10.5. Let v = -10.9 - d. Sort 2, k, v in increasing order.\nAnswer: v, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 0*q**2 + 0*q**5 - 4*q + 1\/10*q**6 + 0 + 0*q**4 + 1\/3*q**3. Find the second derivative of r(a) wrt a.\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o + 22*o - 4*o to w + h*o and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, b: 4, g: 6}. What is prob of picking 1 b and 3 g?\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 45.46722943+-1210\nAnswer: -1164.53277057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**3 + 81*l**2 + 5*l - 17. Let k(v) = 2*v**3 + 2*v + 1. Let n(i) = -4*k(i) + s(i). What is the second derivative of n(z) wrt z?\nAnswer: -18*z + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*o - 632 + 1182 = 0. Calculate the lowest common multiple of 17460 and o.\nAnswer: 17460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 162*b - 74*b**2 + 649 - 649 - 162*b. Let o(c) = 13*c**2. Give u(o(p)).\nAnswer: -12506*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k - 1\/3*k**3 + 1\/3*k**5 + 0*k**4 + 0*k**2 + 0.\nAnswer: k**3*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h + 170 = -7*h. Suppose 4*a = -o + 81, 13*a = 18*a + h. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/14*7*6*8104\/(-20260)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -397816 + 1271773. Let t = -2282957 + q. What is t rounded to the nearest 10000?\nAnswer: -1410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19554, 19563, 19572, 19581, 19590?\n\"Answer: 9*g + 19545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6242 - 595. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.5, -1\/16, -37, -6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.1 - -3.9. Sort -0.2, y, 0.4 in decreasing order.\nAnswer: y, 0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpd when three letters picked without replacement from {p: 4, d: 6, w: 1, v: 6}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -5, -322, 632 in descending order.\nAnswer: 632, 3, -3, -5, -322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8699090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/27)\/(2\/(-180)). Let r = -21 + l. Calculate the remainder when r is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(72) + -1)*-1 - (-1*(-1 + sqrt(72)) + sqrt(72))) + (sqrt(72)*-1 + 0)*-2)**2 + -2 + 3.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + -1*sqrt(1331))*-6 + (1 + (sqrt(1331)*1 - sqrt(1331)) - ((1*sqrt(1331) - sqrt(1331)) + 2 - sqrt(1331)))**2 + -3.\nAnswer: 242*sqrt(11) + 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**(-7\/6)*(y\/(y**(-1\/8)*y))\/((y**3*y)\/y) assuming y is positive.\nAnswer: y**(-23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 2. Let y = j - 3. Let r = -279665\/21786 - -13\/3631. What is the common denominator of y and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32663344*l**2 + 16331342*l**2 + 16331999*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2218 (b) -831 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 1708 = 16*v. Let u = 429 + v. Solve -42*r + u = -41*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -4. Suppose 2*o + 11 = -5*n + d*o, 4*n = -5*o - 3. Let h be 0 - n*10\/(-4). Is h > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1405 is divided by 34.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 4, -1\/4 in increasing order.\nAnswer: -0.4, -1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4))**(16\/5)*k**(-2\/35)\/k**(-8\/9) assuming k is positive.\nAnswer: k**(514\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2257981108?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 5, s: 1, h: 4, a: 3}. What is prob of sequence aa?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h + 192. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**7\/105 - 3*h**6\/10 - 56*h**5\/15 - 45*h**4\/2 - 175*h**3\/3 + 4*h**2 - 56. Factor z(p).\nAnswer: -2*(p + 1)*(p + 5)**2*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/174? (a) 5 (b) -209\/13 (c) -0.58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1065593 is divided by 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/23, 3, -3\/5, 0.2, -15\/53 in increasing order.\nAnswer: -3\/5, -15\/53, 2\/23, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppx when four letters picked without replacement from {v: 2, p: 8, u: 2, x: 4}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -801*q**4 + q**2 - 15*q + 6519?\nAnswer: -9612*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + -4 - 0\/(-1). Let l be (n + 4)*(-1 + 21). Suppose -y - 17 = -2*m - 55, 0 = -4*y - 5*m + l. Calculate the remainder when y is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*t**2 + 118*t wrt t.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*y - 3 + 119*y + 8 - 5.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.136172 and 54910.25.\nAnswer: 54910.113828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11 - 10 - (-7)\/(-1)) + 6. Let d(s) be the first derivative of 0*s - s**5 + q*s**2 + 0*s**4 + 9 + 4\/3*s**3. What is the third derivative of d(m) wrt m?\nAnswer: -120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 754.1 + -754. Let u be (-17)\/24 + 1\/3. Which is the second smallest value? (a) t (b) 4\/9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220 and 1525.\nAnswer: 67100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 14*z - 24 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*s + 5*s - 735 = 0. Let c(m) = 25*m + 528. Let v be c(s). Solve 5*t + 6 = 2*j - 19, -v*j - 4*t = -3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 12 = 15*c. Factor -4*k**4 + 6*k**c + 8*k - 8 - 153*k**2 + 159*k**2 - 8*k**3.\nAnswer: 2*(k - 2)**2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 - 212 + 71 - 2*p**2.\nAnswer: -2*p**2 - 141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11111011000000 (base 2) to base 11\nAnswer: -11084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 107, 11, -14 in descending order.\nAnswer: 107, 11, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)\/((2*sqrt(144))\/sqrt(12)))\/(sqrt(192) + (3*sqrt(192)*1 - sqrt(192) - sqrt(192)))*4)**2.\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 27 = 2*j - 3*z, -2*j - z = -28. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 368998.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 5*q - 1. Let s be b(5). Suppose -2 = -n - n. List the prime factors of 2 - (-1 + s + n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.29, 1\/4, -3\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2595983860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2972 divided by -4\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.96, 1, -0.7.\nAnswer: -2, -0.7, 0.96, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 2\/13, -4, -5 in descending order.\nAnswer: 2\/7, 2\/13, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/1 - (-11)\/(11\/30) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -393*z + 131*z + 129*z + 131*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -14916*z - 89489. Determine n(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-3 - (6 + -9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/(20\/(-3120)). Suppose -5*u - u + w = 0. What is the highest common divisor of 299 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*c**3 + 3*c**4 - 10*c - 3 + 2*c**2 + 9*c + 39*c**3 to the form h*c**4 + d*c**3 + l*c**2 + j*c + u and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {x: 3, p: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -264 - -640. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 813 = -1956. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*y - 3879991 = 0, 3*f = 3*y - 7*y + 5819988. Round f to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0 - 8. Suppose d = 3*k - k. Suppose 0 + k = c. Solve 2*r + 8 = -c*a, 6 = -a + 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/17 - 27448222*c\/17 - 54896436\/17.\nAnswer: -2*(c + 2)*(c + 13724109)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 11. Let d be 2\/s - 362\/(-4). Suppose 0 = 5*u - d + 31. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2. Let p(k) = -6*k**2 + k**2 + 2*k**2 - 11*k**2. What is q(p(n))?\nAnswer: 196*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -2\/121 (c) -5 (d) 2\/17 (e) -0.965\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16, -22, -28, -34, -40?\n\"Answer: -6*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/10 and (2\/(-4))\/(1080\/(-1188)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7281 + 3162 + 2018)*(0*s**3 + 6*s**3 - 4*s**3) as i*s**3 + l*s + c + q*s**2 and give i.\nAnswer: 24922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18 + -10)\/(1 - 3). Let y be (-1)\/i + 548\/(-16). Let g = y - -60. Calculate the remainder when g is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/(-31)*(-1)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 + 190265*b - 380611*b + 4*b**2 + 190346*b.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1936381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**5\/2 + 16809*n**4 - 94617015*n**3\/2 + 1222450122*n**2 - 10557100710*n + 30373153200 = 0.\nAnswer: 8, 9, 5590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 - 53. Let x be -1 - ((-2)\/u)\/((-54)\/(-81)). Suppose -4*b + 23 = -3*c, 0 = -2*b + c + 4 + 7. Solve x = -b*m + 6 + 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*p**2*y*z**3 - p**2*z - p*z**3 + 12664*y**2*z - y - 51*z**3 + 704*z wrt y?\nAnswer: 4*p**2*z**3 + 25328*y*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 75*n + 1602. Let j be m(39). Solve 0 = j*l - 202*l - 3*f + 1, -3*l + 6 = -3*f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*a - 3*a. Suppose 3*q - o - 9 = 5*q, -a*o - 6 = -2*q. Let s(t) = t**2 + 3*t - 4. Calculate s(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(2\/9)*n**1)\/(((n*n**(-2\/5))\/n*n*n)\/n)**(15\/4) assuming n is positive.\nAnswer: n**(-17\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (41396\/32)\/79\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5 - 4*f + 7*f**2 - 9*f**2 + 3*f**2. Let m be z(4). Suppose -m*y + 509 + 16 = 0. List the prime factors of y.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-22)\/19))\/(3406\/(-149864)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -114\/8915?\nAnswer: -114\/8915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 10*g**2 - 5*g**4 + 4 + 5*g + 10\/3*g**3 - 3*g**5. Determine m so that w(m) = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 14*a**2 - 32*a + 5. Calculate the remainder when h(-12) is divided by 56.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 114*n - 5241. Does 12 divide d(98)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 38\/4*12\/(-18) - -6. Which is the smallest value? (a) -170 (b) 3 (c) r (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*sqrt(684)*2)**2 + sqrt(684).\nAnswer: 6*sqrt(19) + 24625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 3 - -2 - (-1 + -1). Put o, -3, -5 in ascending order.\nAnswer: -5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17395 + -17498. Sort -3, -7, j in decreasing order.\nAnswer: -3, -7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 358654177?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 26404*q**2 + 11163524*q - 1189596896.\nAnswer: (q - 25976)*(q - 214)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - h + 164, -5*h - 24 = -4. Suppose -4*r - 511*v = -509*v - 1188, 0 = 4*r - 4*v - 1152. Calculate the greatest common factor of w and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 15*r. What is the closest to 1\/2 in -1, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*a + 3*i - 142, 5*a + 191 = -2*i. Let t = a - -48. Find the first derivative of 5*r + t - 24 - 15*r wrt r.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 7 = 4*h - 2, -s = -3. Solve 4 = 2*l - h*d, -l + d - 4 = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 3*s**2 + 3*s - 1. Let f be r(-4). Let m(w) be the third derivative of 0*w + 1\/12*w**4 - 1\/3*w**3 - 26*w**2 + 0 - 1\/60*w**5. Determine m(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -5, 116, 2\/3, 166\/7?\nAnswer: 166\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3641, 6942, 10243, 13544, 16845?\nAnswer: 20146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 3 - (75 + -75). Let c(t) be the second derivative of 0 + 3\/40*t**5 + 7*t - 1\/3*t**3 + 0*t**o - 1\/6*t**4. Find a such that c(a) = 0.\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5449*(26\/5 - 5) - (-2)\/10. Which is bigger: y or 1091?\nAnswer: 1091","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 110018*i**3 + 3*i**2 + 360046*i wrt i?\nAnswer: 660108*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + sqrt(30)\/(-2*sqrt(2)))\/sqrt(3) + (6*sqrt(45) - -1*sqrt(80))**2.\nAnswer: sqrt(5)\/2 + 2420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 17 = -3*m - n, -2*m + 5 = -5*n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12608, -24076, -35544, -47012, -58480?\n\"Answer: -11468*u - 1140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57002179674.15 - -4.\nAnswer: -57002179670.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -3. Suppose 0*n = -j*n + 64. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27.767 - -0.167. Let y = -27 - q. What is the second biggest value in 2, y, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**4 + 0*g**4 - g**4 + (4*g**2 - 4*g**2 - 4*g**3)*(2854 + 232*g - 2854).\nAnswer: -929*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 c when four letters picked without replacement from tmdsmcssmcm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ktrr when four letters picked without replacement from rkrrrkkttrrrrktrrtt?\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 2*x**2 - 2*x**5)*(-5 + 2 - 1) + (2*x**2 - 2*x**2 + 2*x**4)*(-5 + 14*x + 5).\nAnswer: 36*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 115*j - 150 + 1990 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 v, and 1 e when three letters picked without replacement from {v: 2, i: 2, y: 1, f: 1, e: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 2)\/(12 - 11). What is the units digit of (h\/3)\/((-10)\/(-26820))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 6*l = 4. Let n(t) be the first derivative of 0*t**2 - 1\/10*t**5 + 1 - 1\/4*t**l - 1\/6*t**3 + 0*t. Factor n(k).\nAnswer: -k**2*(k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -1653?\nAnswer: 661.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2191\/9 + -243. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a century in years?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/((x**6*x)\/x)*x*x*x*x\/(x*x*x**4)*x*x**6\/(x*x\/((x*x*x**(1\/9)*x)\/x)))\/(x*x**(-1\/7)*x*x*x*x**(-1\/4)\/x*x**(-2)*x**5*x*x*x) assuming x is positive.\nAnswer: x**(-1889\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11759 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45\/2 - -23. Put -0.5, c, 3 in descending order.\nAnswer: 3, c, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (161870\/(-194244))\/(5\/216)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 5:16 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 10*q**2 - 47*q + 7. What is the remainder when 145 is divided by x(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/33 and -115\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 125 - 627\/5. Which is the closest to j? (a) 5 (b) -0.04 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - w + 3. Let c be x(0). Let h be (-2 - (1 + -9)) + -3. Suppose 3*t = q - 9, -4*t - h + 1 = 2*q. Solve -q*y + 2*y = -c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*y - 3*y + 15*y)*(-3*y + y + 4*y)*(-8 + 5 + 13) to the form w*y + r*y**2 + b and give r.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3348 - -51218.81589?\nAnswer: 47870.81589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10383952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1015 (base 8) to base 15\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 8*t - 3. What is the remainder when ((-6)\/(-8))\/((-15)\/(-300)) is divided by o(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*f**3*s - 75*f**3 + f**2*s - 829*f**2 + 2*f wrt f.\nAnswer: -102*s - 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 986 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 2*h**2 - 2. Let k(x) = -4*x**2 + 10*x - 2. Let u(l) = -20*l**2 + 55*l - 11. Let s(d) = -11*k(d) + 2*u(d). Give f(s(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -526*t - 2102. Let q be b(-4). What is the greatest common factor of 239 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/2 - 28\/(-24)*3. Suppose i*v - 602 = -3*n + 310, v - 4*n - 467 = 0. Is v a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 654*s - s**2 + 141 + 206 - 349 + (-s**2 - s + s)*(-4 - 1 + 6) - 1 + 1 - 2*s**2.\nAnswer: -4*s**2 + 654*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/27)\/d*d**(-6))**(1\/7) assuming d is positive.\nAnswer: d**(-164\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947780466 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, h: 5, c: 7}. Give prob of picking 1 c, 1 u, and 2 h.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -701 (b) -5 (c) 0.05 (d) 0.2 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 5*h + h + (-1 - 1 + 4)*(2*h - h - 3*h) + 3 + 2*h - 3)*(-74 + 2*h - 3*h + 5).\nAnswer: 3*h**2 + 207*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j**2 - j**2 - 4*j**2)*(-1 + 0 - 1)*(-3 - 1 - 1) as u + t*j**2 + i*j and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 24*m**2 + 23*m - 2. Let i be l(23). Let b be ((-8)\/(-18))\/(i\/(-6))*-15. Let d = b - -26. Solve -d*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 15 = 4*x, -19 + 14 = -m + 2*x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -2221562?\nAnswer: -2221564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*v. Let b = 16 + v. Calculate the highest common factor of 176 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73692\/(-16020)*(-1)\/(-1).\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -1000101110010010101110?\nAnswer: -1000101110010010110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 243510 + 4?\nAnswer: 243514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 41, 32, 13, -16?\n\"Answer: -5*z**2 + 6*z + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4*i = 23, -31*j + 119847*i + 457 = 119851*i for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17 (b) 4\/3 (c) 74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - g**2 + 4 + 6*g + 3*g. Let a be c(9). Let p be (-31)\/(-30) + 1\/a. What is the second smallest value in -0.4, p, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 14396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-5))\/((-130)\/(-325))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3 - 5 = 3*f, -4*d = -2*f - 12. Let n(b) be the third derivative of b**6\/120 - b**5\/20 - b**4\/3 + 5*b**3\/6 + 2*b**2. Give n(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (124\/6)\/(2\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 18*v + 5. Let g be t(3). Is g > 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 632.394 rounded to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/(-20))\/(6\/20). Let g be (-14)\/k*(-16)\/(-28). Suppose b = 3*b + g. Which is bigger: b or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190801.5 grams to tonnes.\nAnswer: 0.1908015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-837 + 0)\/(13 - 12). Let b = -481 - t. Does 46 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z - 2. Let t be x(-3). Let v = 3 + t. Suppose -3*f = 4*o - 148, 0 = v*o + 4*f - 8*f - 148. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6968546569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8623736 by -2155934.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 12 = -r - 3*k, -4*r + 2*k = 58. Let f = -28 - r. Let v be (4\/f)\/((-1)\/6). Solve v*a - 3 = 5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1167 (c) 0.5 (d) -1\/953 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**2 + 13049202*l + 14190139403067 = 0.\nAnswer: -2174867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1754 - 1291 = -7*s. Calculate the highest common factor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.375 - -2.625. Sort t, 5, 0.1 in descending order.\nAnswer: 5, t, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -7. Let u(z) = -z + 0*z - z + s*z - 2. Let i(r) = -1. Let n(f) = -4*i(f) + 2*u(f). Determine n(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468916 is divided by 544?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.6*0.448.\nAnswer: 3.8528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*2)\/(8\/32*-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*x**5 - 2*x**5 - 3*x**5 + 63*x**5 + 416*x**5 - 226*x**5 + (x + 1 - 1)*(0*x**4 + 3*x**4 - x**4) + 3*x**2 - 5*x**2 + 4*x**2 + x**5.\nAnswer: 257*x**5 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 12:21 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 b when three letters picked without replacement from {u: 4, w: 4, m: 1, i: 1, b: 3, z: 1}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/30)\/(-2 + 1383\/690). Let v be 138\/u*(-30)\/(-8). Determine w so that -v*w**2 - 3\/2*w + 3 = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 - -70. Suppose -16*i + 15*i + 14 = z. Solve 5*q - 4*n = i + 7, -6 = -2*q + n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*l + 312*l = 2*a - 39, 5*l - 3*a - 65 = 0 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - -1)\/(-1 + 2). Suppose c + 4*i - 25 = 0, p*c - 28 = 4*i + 15. Suppose -s + 23 = -3*q, 3*s - 37 = 4*q + c. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/5)\/x**(-10))**(-16)*(x**(1\/7)*x\/(((x\/x**3*x)\/x)\/x*x))**(-41\/2) assuming x is positive.\nAnswer: x**(-8191\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 475*v**3 + 2*v**2 + 6*v - 13. List the prime factors of c(3).\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 6 = -13*v + 9*v, -5*v = -5*r - 15. Let m(p) be the first derivative of p**2\/2 - 2*p + 1. Calculate m(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 11*i**3 + i**2 - i + 1. Let t be b(1). Suppose 30 = 3*q - t. Suppose -144*a = -132*a - 168. Calculate the greatest common divisor of q and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v. Let c(j) = j. Let y(r) = -r. Let z(p) = -c(p) - 2*y(p). What is -4*u(a) - 5*z(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11654539877.2270274 + 11654534013. Let p = -5748.22705 - x. Let a = p + -116. What is a rounded to six dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188275681 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k - 652. Let d(q) = -2*q - 346. Calculate 10*d(m) - 6*n(m).\nAnswer: 4*m + 452","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*s + 26, 64 = 5*s - 4*p + 20. Is (154\/8)\/(2\/s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -139*f + 4170. Let t be z(30). Solve 20*h - 138 + 318 = t for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, c: 4, k: 3}. What is prob of sequence kckk?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 27679*z + 2. Let y(s) = -4019*s. Determine y(b(m)).\nAnswer: -111241901*m - 8038","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**3 - 3*m**2 - 7*m - 2. Give i(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 840093?\nAnswer: 3, 280031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 6:21 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n\/(n*n**(8\/7))*n)\/n*n*(n**32\/n)\/n)\/(n**(-3\/20)\/n)**(-18) assuming n is positive.\nAnswer: n**(781\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -0.4, 18.8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8970276, -17940543, -26910804, -35881059, -44851308?\nAnswer: -53821551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 488, 1222, 2256, 3590, 5224, 7158?\nAnswer: 9392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**4\/4 - 3*u**2 + 859*u. Let w(d) = 1 + 6*d - 1. Calculate z(w(a)).\nAnswer: 36*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 282, 548, 812, 1074, 1334?\n\"Answer: -w**2 + 269*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtmemem. What is prob of picking 2 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 99343320821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*l + 60, 4*l + 224 = 3*k + 2*l. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 33 + 145. Let t = b + 102. Solve -3*q + t = -2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7*z - 10. Let f(t) = -8*t + 12. Let q(c) = 6*d(c) + 5*f(c). Suppose 3*u + 34 = 3*r - r, -5*r + 49 = -3*u. Let s(i) = i. Calculate u*s(g) + 3*q(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/19)*u\/(u\/u**1)*u assuming u is positive.\nAnswer: u**(39\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - 5*t - 2*t - 477 - 4*t**2 + 492. Let m be z(-5). Factor 0*v**3 - 3\/7*v**2 + m*v + 0 + 3\/7*v**4.\nAnswer: 3*v**2*(v - 1)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32878541 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.668 to the nearest integer.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 912344658?\nAnswer: 2, 3, 2213, 68711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6526123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 3:00 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2\/3 + 35*k\/3 + 50.\nAnswer: -5*(k - 10)*(k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.46 - 0.13. Let x = 21456 + -21456. What is the biggest value in x, -0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 f when three letters picked without replacement from {b: 1, a: 1, w: 1, m: 2, f: 1, q: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231655 is divided by 1676?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.018992 or 1.323?\nAnswer: 1.323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 125*o**4 - 55*o**2 - 125*o + 55. Let b(s) = 9*s**4 - 4*s**2 - 9*s + 4. Let j(g) = -55*b(g) + 4*f(g). What is the second derivative of j(u) wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxs when four letters picked without replacement from xnnwnsxwxnxnwnwxxn.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22899925853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*(475\/570 - (-1036)\/(-264))\nAnswer: -34\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 35, -2, -2\/9 in descending order.\nAnswer: 35, 2, -2\/9, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/8080 and -63\/69500.\nAnswer: 28078000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16199 - 1261 = 97*w. Calculate the remainder when w is divided by 42.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11569 - 4508. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37.925644 + 3.\nAnswer: -34.925644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 11:14 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 656*p + 385. Let t(o) = -239*o - 128. Give -11*t(r) - 4*x(r).\nAnswer: 5*r - 132","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40469 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 5\/3*x**3 + 0 + 6*x - 7\/2*x**2. Find the first derivative of s(v) wrt v.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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 -14*i**5\/5 + 262*i**4\/5 - 932*i**3\/5 - 1312*i**2 + 34048*i\/5 + 2048 = 0. What is i?\nAnswer: -5, -2\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00066162 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12193887 and 90850?\nAnswer: 1817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**5\/20 - w**4\/6 + 2*w**3\/3 + w**2\/2 + 3*w. Let t be m(-3). Let g = t - -7. Solve g*i - 17 = 2*k, -3*i = -6*i + 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x + 205. Let c be a(0). Suppose -4*n - 75 = c. Let i = 99 + n. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 11:21 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1148\/(-20) + 4)\/((-1)\/5)?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/20 of a minute?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -213, -429, -645, -861, -1077, -1293?\nAnswer: -1509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, b: 1, x: 2, p: 9, d: 1, k: 1}. What is prob of sequence dxx?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**5\/60 + o**4\/8 - o**3\/6 + o**2. Suppose -4*p + 5*q = -2, 4*p - 17 = -3*q + 1. Is 10 a factor of m(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6*(-3*4 - -3). Suppose n*a = o - a + 21, 84 = -4*o + 3*a. Let u = o + 33. What is the remainder when 33 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1141 + -1?\nAnswer: -1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 - -73. Suppose -5*i + 14 + 11 = 4*h, 25 = z*i. Solve -f + 4*p - 17 = h, 5*f - 6*p + 37 = -2*p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 63*x - 310. Give o(57).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 86529188*k - 83455841 wrt k.\nAnswer: 86529188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1231011122 (base 4) to base 5.\nAnswer: -103244220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -55210 rounded to the nearest one thousand?\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 17 = -n - 0*x, 3*n = -2*x - 4. Let g(o) = 4*o**n + 13*o + 1 + 4*o**2 - 14*o. List the prime factors of g(-2).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 5244754.\nAnswer: 2\/2622377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 7\/12*l**4 - 1\/2*l**2 + 7\/6*l**3 + 1\/20*l**5 - 3*l + 0. Is 7 a factor of z(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-52))\/(70*22\/1232)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -49 (b) -5\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 63*f + 54*f + 59*f - 188*f. Let g(l) = -20*l. Calculate g(w(m)).\nAnswer: 240*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 11577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-304)\/152*8605\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -14*c**3 - 175*c**2 - 85*c - 14. What is b(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4055 - -291.6.\nAnswer: 4346.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**4\/4 + u**3\/3 + 7*u**2\/2 - 82. Let l(p) be the first derivative of -19 + 1\/2*p**2 + 0*p. Determine -j(b) + 6*l(b).\nAnswer: b**3 - b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371*k + 152*k - 697*k.\nAnswer: -916*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.001 (b) 1\/6 (c) 137266\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p**2 + 6*p + 16. Let q(k) = -15*k. Calculate the remainder when g(-4) is divided by q(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2314724, -2314733, -2314742, -2314751, -2314760, -2314769?\n\"Answer: -9*t - 2314715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -9. What is the smallest common multiple of 18 and (4\/v)\/1*-21?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 14. Let d = c - -22. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 186410703?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 159912, 0, -5, 111, -1 in increasing order.\nAnswer: -5, -1, 0, 111, 159912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((4620\/1645)\/66)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -32540.7996 to the nearest 100.\nAnswer: -32500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/700 and 101\/76?\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -3428 - -20569\/6. Factor 0*i + b*i**5 + 1\/3*i**4 + 0 + 0*i**2 + 0*i**3.\nAnswer: i**4*(i + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/((-16)\/(-4)) - 0. Let z(w) = w**3 - 7*w**2 + 3*w + 8. Give z(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*z**3 - 134076*z**2 + 119578 wrt z.\nAnswer: -12*z**2 - 268152*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56467 is divided by 8056.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-35)\/180*(-4355)\/(-6097))\/(20\/(-18)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 536c7a - -265?\nAnswer: 537101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z. Suppose q + 5*v = v + 23, -5*v + 13 = -4*q. Let n be (1\/q)\/((-6)\/18). Let a be r(n). Solve -7 - a = 4*k, 0 = 4*f - 5*k - 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 5*u**2 + 12*u + 29. Calculate p(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 2*i - 3 - 11, -3*i = f - 3. Let h(o) = o**3 - 6*o**2 + 2*o - 8. Let d be h(f). Solve -d*u + 6 = -k - 10, -3*u - 5*k + 12 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*j**3 + 274*j**2 + 13*j - 278105 with respect to j.\nAnswer: -12*j**2 + 548*j + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11*3 - (-1 + -1). Suppose 0*s - g = -5*s. Find o such that -4*o + 9*o + 4*o - 1 - 1 - s*o**2 = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 9*t + 1. Let a(x) be the first derivative of x**3\/3 + 4*x**2 + x - 843. What is -5*a(i) + 4*z(i)?\nAnswer: -i**2 - 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -145880.0976 rounded to the nearest 10?\nAnswer: -145880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*h + 490 - 4*h + 4579*h**3 - 4584*h**3 - 60*h**2 = 0. What is h?\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n - 24 = -6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 12:26 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*(-2 + sqrt(117))**2 + (sqrt(156)\/(3*sqrt(12) + sqrt(12))*-2)**2.\nAnswer: -1423\/4 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87\/5 of a litre?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 854335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, v: 2, g: 2, e: 1, d: 1}. Give prob of picking 1 g, 1 d, and 2 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 3*z - 30, m = 3*z - 2 + 8. Let x = m + 5. Suppose 0 = -2*i - i + 132. Calculate the highest common divisor of x and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(1008)*1*-6 + ((sqrt(1008) + 0)*-5 - sqrt(1008))*-1.\nAnswer: -360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 2*y - 1, -39*j - 31 = -40*j - 16*y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87 - -99. Let u = j + -8. Let r = -10 - -15. Solve -5*g = r*c, -4*g = -g + u*c + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + -1*sqrt(77)*-2)*-4)\/((sqrt(7) - (sqrt(7) + sqrt(28)))*-2*6).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 351*l**2 - 2*l + 2*l.\nAnswer: 351*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**4\/5 - 1188*x**3\/5 + 61152*x**2 - 29549312*x\/5 + 985380864\/5 = 0.\nAnswer: 104, 876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1017, 2283, 3547, 4809, 6069?\nAnswer: 7327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*p = 26, -3*l - 3*p - 4 = -5*l. Suppose 0 = -l*c + 10 + 5. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66366 by 3.\nAnswer: 22122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 4 (c) -263\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.5 + -17. What is the biggest value in x, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18688759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - h = 17 + 31, k - 20 = -5*h. Let d = 13 - k. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 335*q**3 + 4*q**2 - 4*q + 8. Let i(o) = -29148*o**3 - 347*o**2 + 347*o - 694. Determine 347*c(j) + 4*i(j).\nAnswer: -347*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c. Let o(a) be the third derivative of -a**5\/60 - 2*a**2 - 22. What is o(i(n))?\nAnswer: -64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011111 (base 2) to base 11.\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -12513?\nAnswer: 12516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.01 + 0.41. Let o = x - -4. Let g = 0.2661863 - 0.0661863. Which is the fourth biggest value? (a) -6\/7 (b) g (c) 4 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1\/15, 66444 in decreasing order.\nAnswer: 66444, -1\/15, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 422976 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 54 = -6*j + 6*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16897 and 506849?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9758 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28695 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2. Let v(b) = -228*b**2. What is v(p(l))?\nAnswer: -912*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 14*t + 4. Let x be y(14). Solve -x*d - 8 = -0*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 787825?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*r**4 - 35*r**3 + 4*r**2 + 2*r?\nAnswer: -192*r - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4855883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*y**4 + 11*y**4 - 4*y**3 - 4*y**4 - 5*y in the form u*y**4 + h*y**3 + i*y**2 + o*y + q and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21301, 21303, 21305, 21307, 21309, 21311?\n\"Answer: 2*n + 21299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*h = 56*h + 4*d - 2, -8*h = 5*d - 95. Solve 157*r - 155*r - h = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3 (b) 10 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -36 (b) 2 (c) -0.2 (d) 7 (e) 2\/3 (f) 3 (g) -133\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207062446.\nAnswer: 2, 103531223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -61*i**2. Let u(p) be the third derivative of -p**4\/6 - 15*p**2. What is l(u(w))?\nAnswer: -976*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4 - 10. Let w(s) = 2*s**2 - 2*s**2 - 2*s + 1 + s**o + 0*s**2. Let y(j) = -j**3 + 4*j**2 + j - 2. Let d be y(4). Calculate w(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 = f - 6*f. Suppose 58 = 3*o - f. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m**2 + 29*m + 6. Let d(t) = 3*t**2 + 14*t + 3. Calculate 7*d(b) - 3*w(b).\nAnswer: 3*b**2 + 11*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-21) + (-3)\/(-35). Let z = 0.0726 - 1.0726. Which is the fourth smallest value? (a) z (b) -5 (c) -4\/5 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*a**2 + 122*a - 63*a - 59*a.\nAnswer: 52*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5460 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12.6 or -17?\nAnswer: 12.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihriyiiirihibit. What is prob of sequence ith?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -259646861.9 - 0.4.\nAnswer: -259646862.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/2 + 20774*i**2 + 17030216*i + 3456588448.\nAnswer: -(i - 42356)*(i + 404)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0164 less than 0.4?\nAnswer: 0.4164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.01 - -7.18. Round w to 1 decimal place.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552 = 15694*v - 15625*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k + 9. Let v = -6 + 6. Suppose v = 2*c - 7 - 11. Does 9 divide d(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105894024511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1761084 is divided by 6287.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/1289, -4, 54 in decreasing order.\nAnswer: 54, -8\/1289, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1210 and -4.\nAnswer: 4840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 854196307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*j + 2 = 0, z - j + 0 = 13. Let q = -6 + z. Calculate the remainder when q is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/9 - 5\/(-18)*10. Solve 3*l + x*v + 15 = -0*v, 3*l - 25 = 5*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.192 and -0.026?\nAnswer: -0.004992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/30*369\/6 and (-21682)\/2960 - (-9 - 1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2532 + -15.21302.\nAnswer: 2516.78698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-2))\/(3\/6). Let w be 1*-2 + (1 - c). Let d(t) = -t**3 - t**2 + 10. Is d(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-594)\/88*16\/(2\/1). Let a = -105 - -37. Let g = l - a. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 1740003*g + 15. Let b be d(-5). Round b to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, g: 3, w: 4, k: 2}. What is prob of picking 1 w and 1 g?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gxggzgggzqxqqzgqg.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -9*u**2 - 5*u**2 + 0*u**2. Let t(z) = 2*z. Determine t(o(i)).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + 2*n**3 - 7*n**3 - n + n**2 to the form f*n**2 + g*n + v*n**3 + h and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3000 (base 4) to base 7.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**3 - 9*l**2 + 2*l + 6. Let k(o) = o**3 + o**2 - 1. Let a(d) = -i(d) - 4*k(d). What is a(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2. Let l(r) = -r**3 + 9*r**2 + r - 3. Let v(s) = l(s) - 6*y(s). Solve v(j) = 0 for j.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2\/5 + 153566*u\/5 + 3991364\/5 = 0. What is u?\nAnswer: -76757, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3\/3 + 39588*g**2 + 1175050935*g - 21163745286 = 0. Calculate g.\nAnswer: -59391, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 13 - (1 - 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2 = -s - x, 2*x = 0. Suppose 2*z - 3*h = 480 + 271, s*h - 386 = -z. Suppose -8*o + z = -4*o. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-2)\/(-1) - 1. Suppose 3*j + 3*p = -0*p + 15, p = 3*j - 15. Let h = x + j. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 2 - 5 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -10121*k. Let r(l) = 191*l. Give -319*r(f) - 6*z(f).\nAnswer: -203*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7*k**3 + 6*k**2 - 3*k + 14. Let o(t) = -3*t**3 + 3*t**2 - 2*t + 7. Let j(x) = -5*o(x) + 2*z(x). Suppose 19*l - 141 = -28*l - 0*l. Give j(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qrgg when four letters picked without replacement from {g: 9, r: 4, q: 4}?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + z - 9. Let s be o(-4). Suppose s*x = -10 + 10. Find m, given that -1\/2*m**4 + 0 + x*m + 0*m**2 + 1\/4*m**5 + 1\/4*m**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, p: 4, e: 3, s: 2, v: 2}. What is prob of sequence sep?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1217501*r - 405851*r - 405852*r - 405804*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-25)*5\/(-3). Let n = o + 41\/24. Let t = -0.22 - -0.62. What is the second biggest value in n, t, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 25 = 5*o, -4*n + o = -3 - 2. Suppose -2*v - 3*v + 10 = n. Is v equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 605, -17519 in increasing order.\nAnswer: -17519, 0.3, 605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.617 + 0.6696. Let g = p - 0.052601263. What is g rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 288?\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -2*o + 4, 16 = 5*o - 8*s + 4*s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -8*q**2 - 5*q - 5. Let c(o) = 20*o**2 + 12*o + 12. Let x(s) = 5*c(s) + 12*w(s). Let g(m) = -15*m**2. Give g(x(i)).\nAnswer: -240*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5\/14 - 13\/42. Which is the nearest to w? (a) 0.5 (b) -0.84 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3970*o + 15960*o + 12*o**2 - 3992*o - 3994*o - 4004*o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.6 + 3.6. Let l = 11 + n. Let v(m) = -m**3 + 5*m**2 - 4. Let o be v(5). Sort l, -1, o in decreasing order.\nAnswer: -1, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by -4.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7\/2*(-27)\/63)\/(-3). Factor -k*y**2 + 0 + 0*y.\nAnswer: -y**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34677 = 5*j + k, -36*j + 37*j + k - 6933 = 0. List the prime factors of j.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 4) in base 7?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)*k)\/((k\/(k*k**10*k)*k)\/k) assuming k is positive.\nAnswer: k**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(931) + -4 + sqrt(931) + (sqrt(931) - (1 + sqrt(931))))**2.\nAnswer: -420*sqrt(19) + 8479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04 from 2.90493372.\nAnswer: 2.94493372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -74 (c) 1 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/(-5) - (-2)\/(-10). Let v be 3*(-1)\/(-1)*s. Let m(q) = -q**3 + 13*q**2 + 46*q - 4. Let u be m(-4). What is the highest common factor of v and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**4 + m**4 - 3*m**4 + (1 - 6 + 0)*(-3*m**4 + 0*m**4 + 2*m**4) - 2*m**3 + m**4 + 2*m**3.\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*z**6 + 3*z**4 + 749*z**3 + 83902*z**2 wrt z?\nAnswer: -360*z**3 + 72*z + 4494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 931 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: Suppose 0 = o + 57*m - 61*m - 30762, -m - 92264 = -3*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 = 58*y - 125 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504370.\nAnswer: 2, 5, 31, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2199*p**2 + 4979*p**2 - 2776*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) 124 (c) 3\/4 (d) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3700 times -0.1\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4161888 and 864?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20299 + 2375000\/117. Find the common denominator of 52\/9 and a.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -871931*w**2 - 15615*w + 2 wrt w.\nAnswer: -1743862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3259 >= 3226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (14 - (-1 + 16)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248272 - 608768 = -16*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/7)\/c*c*c\/(c**(2\/7)*c))\/(c**(-2\/5)\/(c*(c\/(c*(c\/c**(2\/9))\/c))\/c)))\/((c*c**(1\/3))**31)**35 assuming c is positive.\nAnswer: c**(-455684\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 833 divided by 49\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 94*q + 95*q - 208*q + 399 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/9 of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5d4 - 35?\nAnswer: 59d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -7825?\nAnswer: -2\/7825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c808 + 1?\nAnswer: c809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 7*g + 80. Is 4\/g + -4 + 40435\/35 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j + 1. Give b(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 13, -3, -112, -325 in increasing order.\nAnswer: -325, -112, -3, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510632 = -71*v + 601796. List the prime factors of v.\nAnswer: 2, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - -1 - (-72 - -72)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14823143.\nAnswer: 967, 15329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 10101322?\nAnswer: -10101321.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -j - 4*g + 4, -3*j - 5*g = -25. Put -5, 0, 1, 17, j in decreasing order.\nAnswer: 17, j, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -15 - (-2 + -7 + 16 + -6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 142340112 and 68?\nAnswer: 2419781904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -4463.62 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*x + 5 - 16*x + 15*x - 4*x + 3*x + 2*x + (-1 - 2 + 4)*(-11*x - 6*x + 5*x) to the form b + u*x and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1231 (base 4) to base 16.\nAnswer: -6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a - 1. Let f be s(-2). Let t(n) = 4*n + n + 8*n**2 - 3*n - f*n**2 + 1. Let l be t(-1). Solve -o - 4*g = 4, 2*g = l*o + 4*g + 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27072.7753 - -27074. Let x = -1.18 + a. What is x rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 27 - 8)*((2 + 1 + 0)*(q - 3*q + 3*q) + 4*q - 4*q + q) to the form l*q + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -592, -542, -466, -370, -260, -142, -22?\n\"Answer: -i**3 + 19*i**2 - 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.079 to one decimal place.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77292 is divided by 25281.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*j - 1. Find the first derivative of 3 - j + 2 - 4*v wrt v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3 = 3*j + 3, 0 = 2*c + 4*j + 20. Let w be (c\/(-4))\/(-3*(-3)\/(-18)). Let k = w - -38. What is the remainder when 182 is divided by k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15e (base 16) in base 14?\nAnswer: 1b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 44 = y - 2*h, 8 = -y - 5*h. Let f = y + -10. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3736.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-351654)\/(-5452))\/(86\/72).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12183 = -298*q + 691*q for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 + 27 = -27*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 4. Let t be 2 - 3\/((-3)\/q). Suppose -t*g + 2*d = -g - 8, -5*d + 7 = -3*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/1435336 and -31\/7952?\nAnswer: 2870672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n. Let b be r(1). Suppose z - 4*o + 1 = 0, -5*z - 4 = 2*o - 21. Sort z, -1, b in ascending order.\nAnswer: b, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -112424, -112381, -112342, -112307, -112276?\n\"Answer: -2*u**2 + 49*u - 112471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 5*g - 75, -5*l + 17873*g - 78 = 17875*g for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06246 * -271.\nAnswer: -16.92666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**3\/3 - 6. Let b(a) = -3*a**2 - a**2 + 5*a**2. Calculate d(b(g)).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7629935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2849150 and 2450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 3*a = -10, a - 10 = 2086*l - 2088*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 2*n + n)*(0 + n + 0)*(-42*n**3 + 19*n**3 - 32*n**3).\nAnswer: -165*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 133451811*w**4 - 7*w - 13375521 wrt w?\nAnswer: 1601421732*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 17*y + 11. Let j(v) = -8*v - 5. Suppose 2*i = 5*i + 117. Let k be i\/(-6)*(-4 - -2). Let b(f) = k*j(f) - 6*x(f). Differentiate b(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6919649, -6919639, -6919629?\n\"Answer: 10*x - 6919659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + 10101?\nAnswer: 10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 152862*n*t**3 + 10*n*t**2 + 3*n*t - 147*n wrt t.\nAnswer: 917172*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-90)*6\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 6 = -3*b, 4*b - 7 = n - 26. Suppose -4 - 29 = -n*o. Solve 3*i + 3*h = 18, -i - 5*h + 15 = -o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjjqqjw.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 divided by 2?\nAnswer: 127\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-4) + 19\/(-4) + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1220.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -8*n**7\/7 - 46*n**6\/15 + 47*n**5\/5 + 17*n**4\/3 - 46*n**3\/3 - 12*n**2 - 3*n + 5. Let f(g) = 0. Calculate g.\nAnswer: -3, -2\/3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 3 - 27. Let f = v + 3. Let l = f - 5. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 2*l + 82*y - 80*y - 5 + 21 = 0, 3*y + 24 = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 157 - 156.8. Let y = -6 - -11. Let k = 8.7 + -9. What is the fourth smallest value in k, -0.5, y, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1199, 8072, 20601, 38786?\n\"Answer: 2828*q**2 - 1611*q - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*w - 28, -3*w - 3 - 11 = -5*v. Suppose u - 18 = -3*x, w*x - 16 = -3*u + u. Is (23*-17)\/(u + -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1338900 is divided by 3121.\nAnswer: 3112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*q**5\/17 + 964*q**4\/17 - 2056*q**3\/17 + 1212*q**2\/17 + 18*q\/17 = 0. Calculate q.\nAnswer: -1\/69, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -249 - -251. Let t(a) = -2*a**o + 7307 - 7307. Let w(f) = 5*f**2 - 2. Calculate w(t(j)).\nAnswer: 20*j**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*v - 10. Suppose 0*r - 8 = 2*r. Put r, v, -3 in increasing order.\nAnswer: r, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/56 - 225\/1050?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 24+2.98\nAnswer: 26.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 + -2 + 3 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**6\/90 + b**5\/120 - 2*b**3\/3 - 9. Let z(t) be the third derivative of h(t). Find the second derivative of z(k) wrt k.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 e when three letters picked without replacement from {z: 2, p: 3, e: 4, c: 1, i: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414842908?\nAnswer: 2, 17, 283, 21557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 1:24 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.2102 to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**8\/4200 - w**6\/900 - 2*w**3\/3 + 4. Let x(z) be the third derivative of f(z). Factor x(u).\nAnswer: 2*u**2*(u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 163.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175)*1*-1 + 2 - (-2*sqrt(77)*3)\/(sqrt(539)*2).\nAnswer: -32*sqrt(7)\/7 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001544856 to seven decimal places.\nAnswer: 0.0000154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 54*k**2 - 4*k + 8. Let o be n(-6). Is o\/40 + 6\/10 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 + 9*d**2 - 2*d**3 + 2*d - 6*d**2 - 6*d**2.\nAnswer: d*(d - 1)*(d + 1)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 310947 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -71, 1\/7, 2\/9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6364845145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 5. Let v = 0.09 - 0.06. Let j = v + -0.33. Which is the second biggest value? (a) k (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1442062 is divided by 865?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0 = 4. Let c be 390\/4*v\/6. Let b = c - 29. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11505937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/6*(3 - -3). Let g(u) = 4 - 4*u - 13 + 27*u. What is the tens digit of g(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/1118 and 97\/90506.\nAnswer: 3891758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 28*z + z)*(-64 + 29 + 2 - 83 - 46).\nAnswer: -4536*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 10 = 0, -s = -0*h - 3*h - 4. Suppose 0 = -4*b + 2*b + 110. What is the remainder when (-5)\/(-1)*418\/b is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -1\/40*u**6 + 0*u**4 + 0 + 0*u**5 - 1\/3*u**3 + 0*u - 2*u**2. What is the derivative of p(l) wrt l?\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-14))\/(6\/(-21)). Let r = 23.8 + -22. Let x = r + -0.8. What is the third smallest value in 0.9, x, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -f - 232 - 40, u - 79 = -2*f. Let l(v) = -32*v**3 - 2*v**2 - 3*v - 2. Let r be l(-1). Let m = u - r. Is 26 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**32)\/y)\/y*y)**(4\/11) assuming y is positive.\nAnswer: y**(-128\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 272 - 600. Suppose -815 = 3*m - 320. Let j = m - x. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -502*x + 3848. Let p(j) = j + 16. What is the remainder when d(7) is divided by p(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l\/(l*l*l**6))\/l)*l**(5\/7))\/(l\/(l\/l**(2\/3)*l*l))**(21\/4) assuming l is positive.\nAnswer: l**(110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/20393357?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/692292 and -47\/248?\nAnswer: 1384584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-2)\/(-8))\/(140\/112))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1028545 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 317 * -3661\nAnswer: -1160537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15949 times -0.08\nAnswer: -1275.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - 7 - (34 - 14 - (1 - -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45*100\/90*(-55)\/(-55)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00174706 to 4 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17261 - 17131. What is the remainder when r is divided by 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*u + 45*u - 2. Find the second derivative of -45*m**4 + 8*m + 12*m - u - 51*m + 13*m wrt m.\nAnswer: -540*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 9*h - 27 = 0. Suppose 2*z - 28 = 5*m, -m - h = 1. Solve z*b = 3*t - 18, 0 = -5*b + 2 - 17 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6722340 divided by 181\nAnswer: -37140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -p - 312. Let u = p + -217. What is u rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2025.11 and -3427612.\nAnswer: -3429637.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22181 + 37259. Suppose -3*y - b = -4*o - 44685, 5*y - 3*o = 49334. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1120 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 - -85. Calculate the remainder when ((-1536)\/(-1408))\/(1136\/(-572) + 2) is divided by v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111 + -1001?\nAnswer: -101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295 = 3*t - 6*r - 310, -5*r + 15 = 0 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.5 and -3.\nAnswer: -40.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -11, 1026879 in increasing order.\nAnswer: -35, -11, 1026879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 8:16 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 53363.\nAnswer: 53363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 4*f**2 - 4*f + 7. Let a be i(-5). Let m be (a - (-3)\/(-2))*0. Suppose m = o - 32 + 7. Solve 4*y + y = -o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/75*20\/(-8).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3340715\/551 + 6063. Is -1 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.04 (b) 79 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2086*r = 2083*r + 65700. What is r rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.03 - 2.03. Let s = 12799.100044 - 12801.1. Let q = a - s. What is q rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4676 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3967 or -144?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 157*m + 5282. Let c be o(-31). Calculate the highest common divisor of c and 166.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1 - 6) + (-70)\/(-12))*12\/15.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2 + 824*v + 84872 = 0. Calculate v.\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - u + 1. Let g be y(2). Let m be g\/15 - (-34)\/30. Let l be 34\/104 + 83\/(-1079). Which is the nearest to -2? (a) m (b) -4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 40 = 10. Suppose -5*r = -0*r - i. Let k(a) = -a**3 + 6*a**2 - 5*a - 6. Calculate k(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**7\/21 - 13*d**6\/75 + 9*d**5\/50 + d**4\/30 - 2*d**3\/15 - 27*d. Solve v(c) = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21.82 - 22. Let q = l - -0.58. Which is the third smallest value? (a) q (b) 2\/9 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1817738 and 60190?\nAnswer: 9088690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -12. Let a = -5.7 + u. What is a rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 266 (base 9) to base 11.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 441443759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-50)\/(-20)*(-2)\/(-1). Let w(n) = 0*n**2 + 6*n**2 - d*n**2. Let v(m) = 3*m + 2 - 2. Give v(w(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376*a - 380*a + 57 = 5*c, 2*c - 30 = -4*a. Solve -4*g + 13 = 5*u, -2*u + c = u + 2*g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590484006 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**4 - 6*j**4 - j**4 + (6*j**3 - 3*j**3 - 4*j**3)*(-4 + 4 + j).\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1857440)\/(-100016) + 6\/14.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -435, -436, -437, -438, -439, -440?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1962.4 - -1957.4. Sort 2.15, l, 2\/11, -1\/2 in increasing order.\nAnswer: l, -1\/2, 2\/11, 2.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.8 and -29.\nAnswer: 81.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320935 and 1040?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 0*t**3 + 0 - 5\/12*t**4 - 1\/20*t**5 + 0*t**2 - 6*t. What is the third derivative of j(l) wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 46*f. Let j(b) = 2315*b - 60. Calculate i(j(d)).\nAnswer: 106490*d - 2760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-5 - 0)*-1. Let z(i) be the first derivative of -1\/3*i**g + 0*i**2 + 3 + i. What is h in z(h) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1855000 rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -921\/181?\nAnswer: -921\/181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 178*f**3 - 10*f**2 - 112*f + 858. Is s(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 times -0.1\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u**(-1)\/u*u)\/(u\/u**(-3))*(u**(2\/5))**(-23))**8 assuming u is positive.\nAnswer: u**(-448\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5.9372845 days?\nAnswer: 0.8481835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 685085988*i**2*j*w + i**2*j + i + 1055640*j + 9 wrt w?\nAnswer: 685085988*i**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 18*y**2 - 348*y - 489. What is a(-18)?\nAnswer: -5889","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**7\/105 - m**3 + 7*m**2. What is the first derivative of j(a) wrt a?\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -71943.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*o + 5*p, -2*o - 2*p = o - 29. Let d = o - -11. Calculate the remainder when (-3068)\/295*(20 - 0)\/(-4) is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1549654451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4318 is divided by 94?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 18 = -2*c, c = 23*c - 14*c - 4*c - 4*t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/17, 5\/3, -1\/43, -3\/25, -3, 0.4?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z**2\/11 - 240074*z + 660204\/11.\nAnswer: -2*(z + 330102)*(4*z - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1012 - 300?\nAnswer: -1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 + 23 - 11*a**2 - 25.\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(91)*-3)\/((sqrt(84)*3 - sqrt(84))\/sqrt(12)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 11*c + 6. What is the remainder when 16 is divided by f(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.072 in -3\/5, -36, -1, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 3972*u**2 - 23859*u - 42. Give d(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g - 12. Let p(a) = 3 + 1 - 2 - 3. Let x(r) = o(r) - 12*p(r). Let y(l) = -19*l**2. Determine x(y(w)).\nAnswer: -38*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4135 - 4136 + 93*z**3 - 63*z**3 + 92*z**3.\nAnswer: 122*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26300562 is divided by 7953.\nAnswer: 7944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73 - -72.9. Sort 3, m, 0.03.\nAnswer: m, 0.03, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 9*s + 4. Let y(i) = 2*i**3 - 19*i**2 - i - 5. Let n be y(10). Suppose -5*v - 4*t + 437 = -25, 4*v - 374 = -t. Let r = n - v. Calculate b(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230238524.\nAnswer: 2, 47, 1224673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 3*n**2)*(-4455*n**2 + 14*n - 5*n - 9*n + 542*n**2) in the form w + v*n + t*n**3 + k*n**2 + s*n**4 and give s.\nAnswer: -11739","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123\/4 + 24735\/5820.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + -2)*-6.\nAnswer: -30*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3760 divided by 2.\nAnswer: -1880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28937384 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 862.458 + 0.142. What is v rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3508324 (base 9) to base 6\nAnswer: 104344121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(98)*-2 + (sqrt(98) - (sqrt(98) - (0 + (sqrt(98) - sqrt(98)*-2)**2))))*4.\nAnswer: -56*sqrt(2) + 3512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtwx when four letters picked without replacement from {o: 1, h: 2, x: 2, t: 1, w: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -960*h - 438049 = -389089 for h.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 - 159 = 2*z. Calculate the remainder when z is divided by 28.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38.5 - 35.5. Let y = -0.14 + 0.04. Which is the second smallest value? (a) -32 (b) y (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**4\/4 - 2*i**3\/3 + i**2 + 4*i + 1. Let n(o) = -o**3 - 5*o**2 + 5*o + 9. Determine -5*g(a) + 2*n(a).\nAnswer: 3*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 690, 689, 688, 687?\n\"Answer: -f + 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - ((-3)\/3)\/1. Suppose 5*h + a*m + 37 = -43, 24 = -h + m. Is (-5)\/h + 471\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-5)\/((-475)\/20))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5009*b + 40000. Give i(8).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3144258665?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 317055, 317048, 317039, 317028, 317015, 317000, 316983?\nAnswer: 316964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6053, -6069, -6103, -6161, -6249?\nAnswer: -6373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/165 and -43\/715.\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*d = -6, -3*d = -3*x + 2*d + 13. Let r be 27*(7 + -1 + x). Suppose 5*b = r - 34. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -701*z - 283. List the prime factors of a(-14).\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48730 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 - -0.3. Let u = 8.3 - -0.7. Is r less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -324, 989, 5564, 15033, 31028, 55181, 89124?\nAnswer: 134489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1660689 by 4.\nAnswer: 1660689\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 37, 91, 151, 217?\n\"Answer: 3*t**2 + 45*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498763 is divided by 53?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m**2 + 4*m - 5. Let u(p) = 32*p**2 - 31*p + 2. Let q(g) = 21*g**2 - 20*g + 2. Let a(v) = -8*q(v) + 5*u(v). What is -3*a(y) + 4*r(y)?\nAnswer: -4*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((12 + -4)\/(-4)). Suppose 2*f - 5*f = h. Suppose f = 3*p + 8*p - 231. What is the remainder when p is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1208 - 6*v**2 - 5*v**2 + 318 + 297 + 293 + 299.\nAnswer: -11*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -2.9\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1829653\/64 - 114387\/4. Let r = w - -3\/64. What is the common denominator of r and (-2)\/7 + 443\/(-42)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 5:46 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 730.3 * 4.\nAnswer: 2921.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 - 4*y - 3. Give r(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -231031233?\nAnswer: -231031222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 at most as big as 476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(5*z - 14*z + 6*z + 1).\nAnswer: -3*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 262 = -2*l + 34, 880 = 3*o - 2*l. Is o a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7970 - 2969 - 892)*(-3 - i + 3)*(-1 - 2 + 1).\nAnswer: 8218*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 7 = -2*b. Let u be (-1)\/b - (-84)\/16. Let h(c) = 4*c**2 - c + 3. Let o(v) = 7*v**2 - v + 5. Calculate u*h(l) - 3*o(l).\nAnswer: -l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 724868760 divided by -5880\nAnswer: -123277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13764 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 - 32*i + 130. Let y be b(10). Solve 5*w + 4*o + 35 = 0, 7*o - 5*o + y = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 1471103970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*g**2 - g**4 - 2 + 8*g**2 - 9*g**2 + 8*g**2 - 2*g**3 - 2*g + 3*g**4 in the form r*g**2 + o*g**4 + z + h*g + f*g**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 4*d + 1521, 22*w = 20*w + 5*d + 991. Suppose 4*o + 2*l = 54, 0*o - 3*l = 3*o - 39. What is the remainder when w is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1609260 divided by -804630?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 74699683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -662f5 (base 16) to base 11\nAnswer: -26650a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 124 + -44. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 31 = a, -3*a - 4*h - 38 = -152. Let 8*w**4 - 2*w**3 - 16 + 9*w - 3*w + a*w - 2*w**5 + 0*w**3 - 28*w**2 = 0. Calculate w.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**5\/20 + v**4\/24 - 2*v**3\/3 + 2. Let z(n) be the third derivative of y(n). Is z(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -127*s - 129*s - 130*s + 377*s. Let i(w) = 139*w**2. Calculate i(x(y)).\nAnswer: 11259*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.1, -20791, 1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6337.868mm in micrometers?\nAnswer: 6337868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.19 + -1.81. Which is the closest to -0.1? (a) 0.2 (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 6*r - 1. Let z(a) = 14*a**2 + a + 2 + 0*a**3 - 11*a**2 + a**3. Let f be z(-2). Suppose -i - 9 + 4 = -2*y, -3*i - f*y + 35 = 0. Calculate p(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3 + 18*t**2 + 120*t - 576 = 0. What is t?\nAnswer: -6, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -3. Suppose 2*g + 22 = -v*o, 4*g - 36 = -0*o + 2*o. Let b be (-2 + 1)*(7 + o). Is -2\/5 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(3\/1)*(-65)\/195.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.199676 + -0.196. Let r = 0.22 + -0.223. Let m = n + r. Round m to 5 dps.\nAnswer: 0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81863, -163897, -245945, -328013, -410107, -492233?\nAnswer: -574397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18*-12598.\nAnswer: -2267.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1369 - -2346. Is (11 + -9)*d\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**10)**38)**(-4\/3))**(2\/9))**(26\/5) assuming o is positive.\nAnswer: o**(-86944\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjwjjwwspwpjppwwps. Give prob of picking 3 p.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 26, -17, -138, -373, -758, -1329, -2122, -3173?\n\"Answer: -6*o**3 - 3*o**2 + 8*o + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5081415 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 831448.\nAnswer: 20786200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 27 (c) 2\/27 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - s**2. Let f be k(-1). Let x = f - -13. Calculate the remainder when 43 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45010258?\nAnswer: 2, 22505129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28146 + -11558. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 69, -5, 7\/8, 0.4?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w + 2*m = -4*m - 2*m - 20, -137*m = 2*w - 140*m - 20 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/111, 29.9, -1\/57?\nAnswer: 29.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3154122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5221, -5224, -5229, -5236, -5245, -5256?\n\"Answer: -r**2 - 5220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2712?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from phmtlsstp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.0067 (b) -3 (c) 3\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2071303 to the power of 1\/2, to the nearest integer?\nAnswer: 1439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -16) + -43 - -36\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 452, 342, 248, 176, 132, 122?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106996 is divided by 250?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-6) - (-305)\/122)*(-42)\/(-4). Solve 84*u - 252 = y*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)*((h*h**(-6))\/h*h)\/h)**44*((((h*h\/h**(-1\/9)*h)\/h)\/h)\/h*h**(2\/9))\/(h**(-2)*h**(-2\/11)*h) assuming h is positive.\nAnswer: h**(-10114\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 - -103.3. Let y = o - 16.2999826. What is y rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*y - 5*n, 2*y - 3*n + n = 0. Let o be (y + (-115)\/(-30))\/1. What is the nearest to -2 in 3, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, n: 2, l: 1, w: 10}. What is prob of picking 3 w?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + (-75 - (-53 + 23))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 166772157 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = -4. Is -0.4 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10025090*d**6 + 4291922*d**2 - 4*d wrt d?\nAnswer: 1203010800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cca (base 16) to base 15.\nAnswer: -e84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*g**2 + 665*g + g**2 + 4*g**2 + 0*g**2 + 4*g**2 to the form p*g + o + i*g**2 and give p.\nAnswer: 665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3 + sqrt(1053))*-2 + 2 + ((sqrt(1053) - 2*sqrt(1053))*-5 + sqrt(1053) - (sqrt(1053)*1 + -2)))**2.\nAnswer: 162*sqrt(13) + 9486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 - 8*b - 34. Determine n(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.23 in 136, 43.2, -6, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + (-25 - 40) - -7.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 16*a + 16. Determine t(7).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.551?\nAnswer: -1.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c**2. Let v(m) = 1 - 3195*m - 8*m**2 + 3195*m. Determine -3*t(w) - 2*v(w).\nAnswer: -5*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5\/11 + 16*s**4\/11 + 48*s**3\/11 + 64*s**2\/11 + 32*s\/11 = 0. What is s?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 5294487.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11.2*-6\nAnswer: -67.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -458949 + 458944.700085. Let u = -4.3 - s. Round u to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -794\/3 in 5, -2\/13, 0.19, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1433751 is divided by 6155.\nAnswer: 5791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a5 (base 16) to base 11.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15401179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118*0.0156877.\nAnswer: 1.8511486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**3 - 5 - 28 + 6 - w**3.\nAnswer: 3*w**3 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15380*b**4*d - 2*d + 8522 with respect to b.\nAnswer: 61520*b**3*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289*x = -4*n + 293*x + 178532, -5*x = 0. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 4*b - 0*b - 12, 2 = 2*b. Suppose k*t = 16, 4*f - 3*t - 7 = 13. What is the remainder when 20 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215 + 3*a + 107 + 108.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**4 - s**4 + 3*s**4)*(-3*s + 0*s + 4*s) - 3*s**5 + 11 + s**5 + s**5.\nAnswer: -3*s**5 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 6. Let w(d) be the second derivative of d**3\/3 - 13*d**2\/2 - 5*d. What is -13*k(z) + 6*w(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111 a factor of 3376329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338081 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 766, 767, 768, 769?\nAnswer: 770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 6*d**2 + 8*d + 8. Let b(g) = 6*g**2 + g + 1. Let w(h) = 13*h**2 + 3*h + 3. Let f(x) = -9*b(x) + 4*w(x). Give 3*a(v) - 8*f(v).\nAnswer: 3*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.55 - -0.38. Let z = -0.131 - v. What is z rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 67*z - 605. Let l be s(9). Let h be -29*((-5)\/(-1) - 4). Put l, 0, h in decreasing order.\nAnswer: 0, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 10582*r + 8275131. What is a(-782)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 4 + 16. Let b = t - 0. Let a(u) = 11*u**2 - u - 19. Let w(c) = 8*c**2 - 2*c - 14. Let k(i) = 3*a(i) - 4*w(i). What is k(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 16, j: 2}. Give prob of picking 2 j.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**2 + 544*q - 32942 = 0.\nAnswer: 91, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4337 = 2*l - 2*h, 3*l - h = 4336. Suppose -3*w + l = 8. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -4 (c) -42 (d) -6 (e) -3\/4 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35*c**2*u - 2*c**2 - 3*c - 6*u**4 + 412910*u + 150058767 wrt u?\nAnswer: 35*c**2 - 24*u**3 + 412910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 5:42 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8190208 - 0.8182. What is y rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -234*h*o**2 - 7187*h + 240*o**3 + 10*o - 152 wrt o.\nAnswer: -468*h*o + 720*o**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 238859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2500*i**2 + 99998*i - 73. Give f(-40).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 16*d - 39. Calculate w(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 9*j + 808. Let d be z(0). Suppose -3*i = -3 + 9, -d = -5*h - i. Is 54 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 6*j**2 + 4. Let m be 6\/12*(55 + -1). Let y = 42 - m. What is the remainder when u(5) is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -17*c**3\/6 - 6*c**2 + 2*c + 19. What are the prime factors of r(-10)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1403618 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2483 - 2487. Sort 1, -1, 36, m in decreasing order.\nAnswer: 36, 1, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7806 and 36.\nAnswer: 46836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5371*f**2 + 32*f - 14 wrt f.\nAnswer: -10742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11173162?\nAnswer: 2, 7, 11, 13, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 43*m**5\/5 + 15*m**2\/2 + 35. What is the second derivative of f(v) wrt v?\nAnswer: 516*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14578 and 2146?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 2*p**2 + p**2 + (-1 - p + 1)*(0*p - 3*p + p))*(-7 - 1 + 3)*(-6*p**3 + 4*p**3 + 6*p - 2*p).\nAnswer: 10*p**5 + 30*p**3 - 100*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.19 - -0.01. Suppose 0*h - 3*q = 3*h - 6, h + 2 = q. Let t be (h - 1)\/(8 - 5). Which is the closest to 2\/7? (a) -3 (b) y (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7782 + 7852. What is the smallest common multiple of z and 966?\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1011626 and 42.\nAnswer: 3034878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 1 - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 21\/(-6))\/(2\/40). Suppose -6*h - 16 = -o*h. Suppose h*b = -12673238 - 6126762. What is b rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1440\/540)\/(12\/15))\/((-6)\/126)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 538 + -535. Let y = 4 + -6. Which is the second biggest value? (a) p (b) -2\/5 (c) y (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b - 5. Let r be c(5). Is (r\/(-3))\/((-7)\/21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + sqrt(275) + -6*2*sqrt(275))\/(-1*sqrt(605)))\/(4*sqrt(44)*-5*-4).\nAnswer: sqrt(5)\/176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 715394 and 204?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 115? (a) 9 (b) -51 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/7 and 195\/(-50) - (0\/1 - 2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12377.68 greater than or equal to -128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-122)\/(-7686)*-98)\/(14\/(-108))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266649.\nAnswer: 3, 88883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1459 (base 11) to base 12\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5 + 0 = 0, 0 = 4*l - 4*j - 212. Suppose -4*s - l = -5*p, 45 = -0*p + 4*p - 5*s. List the prime factors of 89\/5 - (-2)\/p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -68, -75, -78, -77?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11376 - -11376.5. Let o be -1 + 48\/22 + -1. What is the second smallest value in 0, u, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and -56288.\nAnswer: -33772.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppyppypppppppppppp. Give prob of picking 3 p.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41021210004 - -1?\nAnswer: 41021210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 16\/32173, 2\/9, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*m + 28. Suppose -52*f = -27*f - 125. Sort f, m, 3 in descending order.\nAnswer: f, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -59, -52, -3, -8, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-27)\/6)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/2028 and -121\/972.\nAnswer: 164268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven fifths of a millennium?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and 14.\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43256466 and 710.\nAnswer: 216282330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeekkeeeerekkkeke. What is prob of picking 1 e and 1 r?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.658 to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 303\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**9\/v*v**(6\/7)*(v**(2\/7))**25)\/((v\/(v\/v**(2\/5)*v))**(-2\/49)\/((v**(-7)\/v)\/(v**(-1\/10)\/v))) assuming v is positive.\nAnswer: v**(4447\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*r + 24*r - 41601 = -182*r. List the prime factors of r.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15257\/10 + 1515. Suppose -126 = -5*k - k. Calculate the common denominator of (2\/(k - -1))\/(21\/(-651)) and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7648002977 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143353*o - 286598*o + 1 + 143268*o.\nAnswer: 23*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/4 + 59*y**3\/4 - 115*y**2\/4 + 57*y\/4.\nAnswer: -y*(y - 57)*(y - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 4:54 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -400 (base 6) to base 12\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*x - 30. Calculate the highest common divisor of x and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -5 - 5 - 0) + -7 + 10 + 14.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m + 30. Let q be t(-7). Solve -3*b + 5 = -q*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 7:47 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 7.9887 and 1\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 94758\/1109 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 14*w = -18 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9575 and 8722825.\nAnswer: 8722825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a\/a**6*a)*a*((a**4*a)\/a)\/a)**(-7\/9))**(3\/2) assuming a is positive.\nAnswer: a**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -4*g + 5*p, 4*g - 59*p - 7 = -64*p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17920042 to the power of 1\/2, to the nearest integer?\nAnswer: 4233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + 0.2. Let h = 12\/19 - 53\/114. Sort 2, h, z in descending order.\nAnswer: 2, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 1417 = 5*d + 149, -4*d - i = -1027. Suppose 3*x + d = 5*x. What is the highest common divisor of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 29 + -55 + 39?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*g + 72*g + 22 = 0. Solve 5*w - 4*v = g, 4*w + 0*v - 9 = 3*v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*d**(-4\/25)))*d\/d**(-1)*d*d**(2\/25)\/d*d**(-3)*d)**(-1\/16) assuming d is positive.\nAnswer: d**(-23\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**6\/360 + p**5\/120 - 11*p**4\/12 - 24*p. Let c(r) be the third derivative of a(r). Give c(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1298460.708 less than 49440?\nAnswer: 1347900.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -134, -464, -1014, -1784, -2774, -3984, -5414?\n\"Answer: -110*x**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*9.8.\nAnswer: 0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -3\/2, 0.59924, 0.3.\nAnswer: -3\/2, 0.3, 0.59924, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 43*n + 2. Suppose 3*h - 7 = 5. Suppose 2*z - z = -h, 3*o + 3*z = 0. List the prime factors of p(o).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 137905847*n**2 - 59*n + 1948439?\nAnswer: 275811694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -487 + 489. Which is the fourth biggest value? (a) 1 (b) i (c) 0 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33 and 83\/9106665?\nAnswer: 9106665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2287203 (base 10) in base 12?\nAnswer: 923743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 1\/3*k**3 + 0 - 3*k - k**2. What is the derivative of j(m) wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-44415)\/(-84) + (-2)\/(-8). Suppose 533*i - l*i - 816 = 0. List the prime factors of i.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -13. Let i = c + 6. Is (-10)\/i + 113\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r + 33. Let j be v(5). What is the third derivative of -t**2 + t**2 + 0*t**2 + 6*t**6 + j*t**2 wrt t?\nAnswer: 720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/10)*f**(1\/3)*(f**(-7))**(-19) assuming f is positive.\nAnswer: f**(4009\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1803, 1800, 1795, 1788, 1779?\n\"Answer: -p**2 + 1804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60839 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + 20 + 50 - (17 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1176.18627 hours to weeks.\nAnswer: 7.00110875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133021833 divided by 19003119.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(35\/15)*4\/12. Put 2, -1\/4, 6, x in descending order.\nAnswer: 6, 2, x, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 2*m = -0*v + 25, -m = 3*v - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 9*p**2 + 61*p + 42. What is z(4)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 11*v**2 + 9*v + 10. Suppose -z = 3, -4*q - q = -4*z - 37. Suppose -7 = -4*i - 27, q*i + 5 = -2*w. Calculate s(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 66844*j**2 - 28603680*j + 3021908400.\nAnswer: 4*(j - 210)**2*(j + 17131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -292*i*k*z**2 - 1195*i*z**2 + 6*i - 22712519*k*z**2 wrt i.\nAnswer: -292*k*z**2 - 1195*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*m = -6, -2*i + 48 = -9*m + 14*m. Calculate the remainder when 30 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*t + 60 = 0, 2*c + 4*t + 0*t + 26 = 0. Let w = c - -38. Calculate the greatest common factor of w and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3\/13 + 2280*a**2\/13 - 122976*a\/13 + 1699712\/13 = 0. What is a?\nAnswer: 28, 1084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**6\/360 + 5*d**4\/24 + 7*d**3\/6 - 7*d**2. Let c(w) be the first derivative of g(w). Calculate c(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 2:37 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/4))**(2\/5)*(z**3\/z)\/(z\/(z*z**(-2)*z)*z))**(24\/5) assuming z is positive.\nAnswer: z**(-12\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 13*v = -717496. Let k be (0 - 2\/(-1)) + v\/4. Round k to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645 is divided by 316?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1974070 (base 14) in base 11?\nAnswer: 71600a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/25382 and 27\/7?\nAnswer: 25382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 146000506 + -40?\nAnswer: 146000436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2393240\/89300*(6\/33 - 118\/44)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvsw when four letters picked without replacement from shvhhuwvhuhyuhhsh.\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.00268 + 28118.\nAnswer: 28111.99732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2809487?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5815.1 and -17?\nAnswer: 5798.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58488335 - 1170035877\/20. Let h = f - -13455. Find the common denominator of h and 69\/34.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 3*u - 3*u + (-124 + 102 - 176)*(7 - 7 + 4*u) in the form s + n*u and give n.\nAnswer: -793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.33 to 1 dp.\nAnswer: 9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 - 50. Suppose f*p - 332 = 289. List the prime factors of p.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 923485548 to the nearest integer?\nAnswer: 30389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -903*s**3\/5 - 1776*s**2\/5 + 12*s = 0.\nAnswer: -2, 0, 10\/301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 11*f**2 - 21*f - 4. Let j be w(-12). Suppose 9*u = 5*u + j. Calculate the highest common divisor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-4)*(z\/(z\/(z**(-7)\/z)))\/z*(z\/(z\/z**(-1)))**28 assuming z is positive.\nAnswer: z**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((sqrt(300) + 3 + sqrt(300)*-2)*3 + 5)*3 + -5))**2.\nAnswer: -6660*sqrt(3) + 25669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 5:58 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 9*f**5\/40 - 55*f**4\/32 + 19*f**3\/4 - 21*f**2\/4 + f + 653. Determine w, given that c(w) = 0.\nAnswer: 1\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4*o - 4, 0 = -q + 5*o + 11. Let t be q*2 + 22 + -19. What is the third derivative of -4*j**5 - 3*j**5 - 3*j**5 + 7*j**2 - j**t wrt j?\nAnswer: -660*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11022201211 + 0?\nAnswer: -11022201211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -619*c + 614*c - 45*i + 120 = 0, 4*c = -4*i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.46, -0.039, 22348 in decreasing order.\nAnswer: 22348, -0.039, -0.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/36)\/((-2)\/112). Is (4460\/40)\/(2\/t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ep when two letters picked without replacement from ppwpeeepwppwew?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 3:07 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4637181203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1509543 and 8554077.\nAnswer: 25662231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4358 + 2698 = -63*d. Sort -2, d, -4, 1 in descending order.\nAnswer: 1, -2, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -120877, -5, -4, 3, 2 in increasing order.\nAnswer: -120877, -5, -4, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a - 1\/3*a**4 + 0 - 7\/3*a**2 + 8\/3*a**3.\nAnswer: -a**2*(a - 7)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 4*r + 63. What is the remainder when 81 is divided by m(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7307 and -12.\nAnswer: 87684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 25 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 0.145 (c) 2 (d) -7 (e) -0.5 (f) -0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36334 - 5376 = 970*i for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2765 - -5415. What is the greatest common divisor of 50 and k?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a gram in milligrams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75.65 - -1.35. Let f = 5571 + -5495.29. Let h = m - f. What is h rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 2\/11 (b) 2 (c) 0.3 (d) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14930442 a multiple of 421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.027544006 to five dps.\nAnswer: -0.02754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(70) - (-1*sqrt(70) + sqrt(70) + sqrt(70))) - (sqrt(70) + sqrt(70) + 2*sqrt(70))*3)\/(sqrt(1440)*-1*4 - sqrt(1440)).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 - 8*i - 5. Let b = 1183 + -1176. Let v(j) = -2*j**2 - 9*j - 6. Calculate b*c(l) - 6*v(l).\nAnswer: -2*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 375 divided by 75\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 324012576 divided by 26272\nAnswer: 12333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -8*z. Let a(x) = 10*x**2 - 1. Let u be a(-1). Let t = 19 - u. Calculate the least common multiple of t and q(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/327 and 47\/436?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 1482*h - 1487*h. Sort -2.09, 2\/13, -3, h.\nAnswer: -3, -2.09, 2\/13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -891 - -2107. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29202*j - 250172 = -29219*j. List the prime factors of j.\nAnswer: 2, 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 2:30 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 4*l - l)*(l + 0 + 0) - 5*l**2 + 3*l - 3*l - 2 + 4 - 2*l**2 + 0.\nAnswer: -8*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 411543.8 weeks?\nAnswer: 248901690240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 62112 + -16?\nAnswer: 62096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*t**2 + 222236*t - 3404955 with respect to t.\nAnswer: -6*t + 222236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + sqrt(243)*2*6 + -2*((sqrt(3) + 3)*4)**2.\nAnswer: -386 - 84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.61 - -0.49. Let u = -882 + 2645\/3. Which is the fourth smallest value? (a) m (b) u (c) -3\/2 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21568808953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.74 + -31.26. Let a = -32 - i. Let c = 1 - 4. Sort c, a, 5.\nAnswer: c, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven quarters of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 7*j - 20. Differentiate -112 + 81 + 51*p**j - 3*p**4 wrt p.\nAnswer: 192*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -165, -164, -163, -162?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -0.5 (c) -4 (d) -0.858 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**3*y**5 - 2*l**3*y**3 + 2*l**3 - 5*l*y**2 wrt y?\nAnswer: 120*l**3*y**2 - 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142809 is divided by 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**2 + 0 + 1\/4*l**4 + 2\/3*l**3 - 1\/12*l**5 - 1\/120*l**6 + 0*l. Let b be p(-6). Sort 1, b, 2 in ascending order.\nAnswer: 1, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 1090*r + 3676. What is l(-3)?\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/148861 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 1. Let n be m(-3). Let q(h) = n - 4 - 3 - 4*h + 13*h. What is the tens digit of q(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 12*d - 136*d.\nAnswer: -126*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.051185068 rounded to 3 dps?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eighty-one quarters of a microgram?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42726*q + 1620 - 1620 + 42726*q + 2*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 4508\/133 - (-54)\/513. Let x(f) be the third derivative of -1\/20*f**6 + 0 + n*f**2 - 7\/20*f**5 + 0*f**4 + 0*f - 1\/490*f**7 + 0*f**3. Factor x(i).\nAnswer: -3*i**2*(i + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b81414 (base 12) in base 15?\nAnswer: 3c5caa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -453869 times -1\nAnswer: 453869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540 = 743*n - 713*n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-8) - (-407)\/(-44). Let t(h) = -h**3 - 9*h**2 - 3*h + 17. Let s be t(f). List the prime factors of 4543\/s + 2\/(-8).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/353 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 12:47 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260108 is divided by 111?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 2136875328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5064 and 16?\nAnswer: 10128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 570 divide 421800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20112 (base 3) to base 14.\nAnswer: -c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkz when three letters picked without replacement from {k: 1, s: 1, e: 3, x: 1, b: 5, z: 4}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 12:24 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3168928219?\nAnswer: 3168928219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 983, 7, -1, -5, 0, 1 in descending order.\nAnswer: 983, 7, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -3. Let m = z + 1. Let h be (-20)\/(-8)*26\/m. Calculate the greatest common factor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -52, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1257*w**3 + 97*w**2 + 24*w wrt w?\nAnswer: -7542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**4 + 2*q**4 + 0*q**4 + (-6599*q + 13198*q - 6594*q)*(-q**3 - q**3 + 4*q**3).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 365, 1471, 3315, 5897, 9217, 13275?\n\"Answer: 369*y**2 - y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -33. Let k be 0 - ((-20)\/d + 2). Suppose k*x - 238 = -103. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -11. Let k = n - -25. Let c(b) = b**2 - 7*b - 13. Let v be c(9). Solve -w = w + g + 7, -v*w - g - 13 = k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v - 7 + 7)*(-v + 4*v - 2*v) + (-4 - 2 + 4)*(-3*v**2 + 24*v - 24*v) to s + n*v**2 + b*v and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/13 (b) -2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v + 6*v - 12*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-132)\/(-30) + (-4)\/10. Suppose -p*y - 16 - 16 = 0. Let h = -10 - y. Is -3 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-3)*(300\/2880*12)\/(1\/(-21)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*c = -16, k - 5*c = -0*k + 19. Let a = -5 - -8. Let x = -1.2 + -2.8. Put a, k, x in descending order.\nAnswer: a, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -6, -3\/8, -0.34, -0.3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -433\/5 - -86. Put -1\/3, -4, -0.3, c in increasing order.\nAnswer: -4, c, -1\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-10) + 27\/(-15). What is the units digit of (13 - q)*(-8)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 4\/(-6) - 448\/(-24)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -402*p**3 - 6*p**2 + 54*p - 54. What is c(1)?\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6)*3)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 201 = -768. Suppose 2397 - a = 12*u. What are the prime factors of u?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 + 148101*h**3.\nAnswer: h**3*(h + 148101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 265?\nAnswer: -4\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2381 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/64 and 83\/20.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 294 and 4368?\nAnswer: 30576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 16*f = 76. What is the tens digit of (-1)\/(f\/28) - -1052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) - 23\/(-4). Suppose -j*b = -3*b + 15. Find the common denominator of 95\/8 and (-10)\/(-8) - (2 + b).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**2 + 26*y - 148. Is 19 a factor of f(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 v when three letters picked without replacement from {o: 5, z: 3, h: 1, r: 1, v: 1, b: 3}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3)\/(r*r*(r*r\/r**(-1\/33)*r)\/r))**20)**(41\/5) assuming r is positive.\nAnswer: r**(-38048\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 178350 and 1722.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 1. Let d be p(-2). Let x(r) = -r - 13. Let b(h) = -h - 13. Let l(u) = d*x(u) + 2*b(u). Is l(-10) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254741003*w**3 - 127370608*w**3 - 127370390*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d. Let l(y) = 1208*y. Determine l(j(p)).\nAnswer: -2416*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -123, -160, -177, -168?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*w**3 - 37*w**3 + 147*w**3 - 59*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 184, 1466, 4952, 11746, 22952, 39674, 63016?\n\"Answer: 184*w**3 - 2*w**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2 = l - 2*i, -i - 10 = -2*l. Suppose 207 = l*a - 1185. What are the prime factors of a?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50942246 - 3*q - 50942246.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1\/2))\/w**(-5\/4)*(w**(-1\/3))**(1\/30) assuming w is positive.\nAnswer: w**(493\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, b: 4, f: 1}. Give prob of sequence bfzb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 187\/4 + 1\/4. Suppose 89 = 5*n + 3*o, -3*n + n + s = 5*o. Let l(i) = i**2 - 12*i - 9. Let w be l(-1). Solve -5*d = 2*g + n, -w*g = -5*g - 3*d - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*n + 12 = n, x + 4*n - 3 = 0. Suppose q = -x*q + 20. Suppose -m = -q - 34. What is the remainder when m is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 3:28 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**4*n**(1\/3)*n**(-2\/11)\/(n**(1\/4)*n))**(-6\/5))**(4\/7) assuming n is positive.\nAnswer: n**(818\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 984604660?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -5 (b) 3\/4 (c) 0.004\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 2 = 6*a. Let y be -5*(-3 + a + -1). Let r(x) = x**2 - 6*x + 8. Let w be r(y). Solve -5*o - d + 0*d - 10 = 0, -d - 2 = -w*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13004, 23919, 34832, 45743, 56652, 67559, 78464?\n\"Answer: -o**2 + 10918*o + 2087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -408*g - 1231. Give n(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90673 and 40403?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 12*f = 504. Suppose 2*g + a + 663 = 0, 4*g + 7*a = 2*a - 1329. Let u = -236 - g. What is the remainder when u is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14837 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(-5) - (26 + -6 - 15)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in -0.1, -4\/3, 7\/9, -209?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_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: Is 679529293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**7\/1785 + 13*k**6\/510 - 5*k**5\/102 + 400*k**2. What is b in s(b) = 0?\nAnswer: 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r - 794 = 6. Calculate the remainder when r is divided by 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u - 16 = 0. Suppose 24 + u = 8*c. Solve -4*s + 0*b - 2*b = 10, -5*s - 50 = -c*b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 203?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(4536) + (-2*sqrt(4536)*-4 - sqrt(4536)) - sqrt(4536)*-2*5)\/(-6*(sqrt(648) + 2*sqrt(648)) + (5*sqrt(648)*2 - sqrt(648))))**2.\nAnswer: -4*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 580*o - 2. Let u(a) = -a**2 + a - 1. What is -k(h) + 3*u(h)?\nAnswer: -h**2 + 583*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 137269?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 172178, 172198, 172206, 172196, 172162, 172098, 171998?\n\"Answer: -u**3 + 27*u + 172152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -1 + -2 - (1 - -7). Suppose -32 = 4*d - 2*d. Let y = j - d. Which is smaller: y or 25\/4?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399573 is divided by 133188.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/174)\/(1\/(-9))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 u when three letters picked without replacement from {u: 5, t: 2, g: 8}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 262 = -7*q, 11*w - 14*w + 24 = 0. Solve 0 = 34*m - 68*m - q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 5\/(10\/(-8)) + 61 + -4?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h - 17 + 21 = -13*h, -8*k - 20 = 3*h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.91109027 rounded to 4 decimal places?\nAnswer: 5.9111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 7*d = 2*p - 64, -29*p - 24 = 4*d + 20 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 346 - 343. Suppose -2*j = -6 + 2. Suppose 0 = -0*b + j*b - 2. Sort b, m, 0 in decreasing order.\nAnswer: m, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(5*h**3 - 3*h**3 + h**3) - 2*h**3 + 4*h**3 - 4*h**3 + (-3*h**2 - 28*h**2 + 4*h**2)*(4*h - h - 5*h) + 0*h**3 + 2*h**3 - h**3.\nAnswer: 56*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m = 0. Suppose 0*t - t = m. Suppose -2*a + 5*f + 59 = t, -31 = -3*a - 5*f + 70. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.8794 - 5.4.\nAnswer: -10.2794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/3575050 and -39\/146050.\nAnswer: 82226150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6339 + -4996. What is the greatest common factor of c and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 0*l**2 + 3\/8*l**4 - 2 + 0*l + 1\/3*l**3. Factor v(h).\nAnswer: h**2*(3*h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) 2\/9 (b) -5 (c) -0.4 (d) 0.118 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -79\/30*k**6 + 0*k**4 - 41\/3*k**3 - 72*k + 0*k**5 + 0*k**2 + 0. Find the second derivative of r(n) wrt n.\nAnswer: -948*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -3 (c) -76180989\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.10446 - -0.10446. Let j = -5.7 + 87.7. Are b and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6 = -5*p - 31, -5*g - 4*p - 37 = 0. Let u = 3 - g. Let x = 11 - -3. What is the remainder when x is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(136)*5)\/sqrt(8) - (-2*sqrt(17)*4 + sqrt(17)*-1*-3 + sqrt(17))**2.\nAnswer: -272 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/4853088 and 67\/23052168?\nAnswer: 92208672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -791 + 796. What is the smallest value in -1\/20, -1\/9, d?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502044785?\nAnswer: 5, 11, 9128087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -21. What is the units digit of 1 - -1*(u + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4529523*h**2*t**3 + 453511*h**2 wrt t?\nAnswer: -13588569*h**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 208, 283, 358?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -159*m**3 - m**2 + 3*m - 2. Calculate z(1).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 2*j + 7. Let i(n) = -1. Suppose 2*v + 4 = 0, -10*b + 11*b = v + 3. What is b*u(c) + 2*i(c)?\nAnswer: c**2 + 2*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-5)*d)\/(d*d**(-2)\/d*d))\/((d*(d*d*d**(1\/4)*d)\/d)\/d)**(2\/121) assuming d is positive.\nAnswer: d**(1927\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 53 (c) -6 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16709014?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4321806 is divided by 91952.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 110610 and 2443?\nAnswer: 270220230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 156 + 2090084?\nAnswer: 2090240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u + 2*u + 8 + 2*u. Let c be r(-6). Let v be 2 + -2 + c\/(-1). Do -2 and v have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - ((-3)\/(-3) - 2). Suppose -u + 2*u - 3 = j. Let 6*d**2 + d**3 + d**4 - 2*d**3 + 1 - 3*d**u - 4*d = 0. What is d?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6*v + 21. Let y(u) = u - 4. Let r be 0\/2 - 12\/2. Let z(g) = 2*g + 1. Let s be z(r). Determine s*y(q) - 2*c(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3482*x**6 - 846*x**2 - 3*x?\nAnswer: 417840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 26 = -9*i + 2*m, -29 = 3*i + 2*m. Let j(s) = -s**2 - 23*s - 9. What is j(i)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/4)\/(3\/144). Suppose f*h - 77*h = -225. Let s(j) = -18*j. Let g be s(-1). What is the greatest common divisor of g and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6 (b) -3\/194 (c) -6 (d) -2\/57 (e) 0.591\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 5*i**2 + 7*i + 8. Let j be p(-6). Let b be 6\/(1 + (-3)\/12). Suppose 0 = r + j*h - 0*h, 3*r - b = 2*h. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.61 - -1.21. Let k = -20154 - -20155.40056. Let h = u + k. What is h rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-198)\/(-30)*(-5)\/(-11). Solve 0 = y*o - 3*k + 3, 4*o - 73 = k - 89 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2214 + 0?\nAnswer: 2214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 619 - 612. Let s be 1 - 2*1\/8. What is the closest to g in -5, s, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**3 + 2100*u**2 - 14829*u + 12726 = 0. Calculate u.\nAnswer: -707, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34)\/(-51)*(-27)\/(-24). Which is the second biggest value? (a) -3 (b) g (c) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 1630 = -0*f. Let h be ((-438)\/((-12)\/4))\/((-4)\/(-14)). Let w = h + f. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-21)*707\/606. Which is the nearest to -2? (a) l (b) -3 (c) 0.1 (d) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 10 = -r. Calculate the highest common factor of r and 72.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*o - 14, 4*o + o = -5*z - 20. Let y(f) = 0*f + 1 + 0*f + 2*f**2. What is y(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 2. Let h be k(2). Let q = 0.6 - 0.1. Let z = -0.6 + q. Which is the nearest to -1\/3? (a) z (b) 0 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 18*p**2 - 18*p + 12. Calculate w(-19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 51? (a) 5 (b) 14 (c) -1 (d) 0.5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -4, -9, -2, 1 in ascending order.\nAnswer: -18, -9, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + 5*w**3 - 2*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7760 divided by -5.\nAnswer: 1552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 3*c**2 + 2*c. Let p be j(2). Suppose 0 = 2*k - 0 - 18. Let i = 14 - k. Solve p = m + 3, -i*g + 4*m = -0*m - 32 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 2 - (0 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/9 + (-10)\/(-3). Suppose 0 = -a*h - 5*t - 9 - 2, -3*h = -3*t - 21. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 38*q**2 - 1012*q + 342. Determine i(56).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1786 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 803832\/(-4 + -8)*(-5 + (-2 - -6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033663 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: b\"What is the ith term of -4975626, -4975641, -4975678, -4975749, -4975866?\n\"Answer: -2*i**3 + i**2 - 4*i - 4975621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiww when four letters picked without replacement from iwiidwi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1599477 and 1767.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 778, -1, 1276 in decreasing order.\nAnswer: 1276, 778, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2066\/17 or -2403\/4?\nAnswer: -2403\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204, -866, -1970, -3516, -5504, -7934?\nAnswer: -10806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(896) + sqrt(896)*1 - sqrt(896)))\/((sqrt(80) + sqrt(80)*1)\/sqrt(10) - sqrt(8) - sqrt(16)\/sqrt(2)*2))**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 2. Let c be p(-4). Let v = 12 + 0. Let d = v + -9. Solve c = -d*i + 5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1357 + -3890\/3. Let w = -60 + y. Which is the biggest value? (a) 6 (b) w (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 5*k**2 - 4*k + 1. What is the remainder when 40 is divided by m(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -57*o - 41*o + 8 + 99*o. Give s(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scmfcfnccyffc. Give prob of sequence cf.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1718173*i**4 + 4*i**2 + 74925842*i wrt i?\nAnswer: -20618076*i**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 105283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**2. Suppose -2*l - 5*k + 65 = 3*l, 4*l - 49 = -k. Suppose 4*a = -4 + l. Let g(y) = -y**a + y - y - y**2. Give g(r(b)).\nAnswer: -18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 116 + 127. Suppose -57 - f = 2*s. What is s rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 2*x = -14, -q + 86*x - 7 = 87*x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 6*b - 24. Suppose -t = -b*t. Suppose -4*o - 1 - 11 = t, 5*o = -2*q - 7. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91599 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7))**(5\/3) assuming n is positive.\nAnswer: n**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 s when three letters picked without replacement from qqqyqzzqqiywswy.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 3*x - x - 7 = 0, -4*y - 2 = 2*x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3604759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (67*r + 14*r**2 - 67*r)*(-3 - 5*r**2 + 3 + (0*r - 2*r + 0*r)*(0*r - 4*r - 2*r) - 4 + 4 - 4*r**2) to q*r**2 + w*r**3 + f + l*r + t*r**4 and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 36244\/3 + -12003. Factor 25 + 1\/3*r**3 + y*r + 91\/9*r**2.\nAnswer: (r + 15)**2*(3*r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -271040*l**4 + 326382*l.\nAnswer: -3252480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eaiffbaiii. What is prob of sequence abi?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005016627 to 5 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(2600) - ((sqrt(2600) - sqrt(2600)*-2 - sqrt(2600)) + sqrt(2600) - sqrt(2600)) - sqrt(26))\/(sqrt(242) - sqrt(242)*-4)*1)**2.\nAnswer: 63\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**8\/336 + y**7\/7 - 23*y**6\/8 + 95*y**5\/3 - 210*y**4 + 864*y**3 + 4037*y**2. Let s(r) = 0. Calculate r.\nAnswer: 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*v + 19681 = -618*v - 61*v - 21320 for v.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068114 divided by 5?\nAnswer: 1068114\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssssyys. What is prob of picking 2 s?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23276308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220 (base 4) to base 13.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16243.\nAnswer: 37, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26 + -1718?\nAnswer: -1682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 10*m + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 296268 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -2. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.01, -0.05, 3\/5, 429.7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 1806.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.12 and 3362.31?\nAnswer: 3362.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 107*a**2 - 152*a - 4665. What is the remainder when 863 is divided by d(-108)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 0.6, -16, 14.9, 39, 0.4, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 0) + 2 + 1. Suppose 0 = -v - 1, 3*f - l*f - 5*v = 4. What is the first derivative of 2*z + f + z - z wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 85, 116, 139, 154, 161, 160?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24781 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 5:17 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 3, -134, -1, 4, 75?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -116802858, -233605711, -350408564, -467211417, -584014270, -700817123?\n\"Answer: -116802853*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 153 and 221?\nAnswer: 1989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-13) - 168\/78. List the prime factors of b\/10 + (-81)\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -8. Calculate the greatest common factor of 34 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - 0. Let o be (-2 - 1*w)*-5. What is the units digit of (o\/(-4))\/((-5)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(648) + -1*sqrt(648) - sqrt(72)\/(sqrt(45)\/sqrt(5)))\/(((2*sqrt(224))\/sqrt(7))\/(sqrt(968)*-1))*2.\nAnswer: 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325069712?\nAnswer: 2, 11, 101, 18287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-381)\/(-6))\/((6\/(-4))\/3). Let b be (12\/(-14))\/(k\/42 - -3). What is the greatest common divisor of b and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9719, -19422, -29125, -38828, -48531, -58234?\nAnswer: -67937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 853319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 9*o - 51. Suppose 4*u - 4*f = 13 + 3, 3*f = 0. Let p(b) = 4*b - 25. Let j(s) = u*r(s) - 9*p(s). What is the derivative of j(q) wrt q?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8838 + 291656\/33. Calculate the common denominator of 15\/299 and g.\nAnswer: 9867","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k + 0*k)*(-3*k + 3*k + 8*k) + 4*k**2 + 0*k**2 - 3*k**2 + (-k - 2*k**2 + k)*(9 - 1 - 2) - 2*k**2 - 45*k**2 - 6*k**2.\nAnswer: -56*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17156, -17198, -17276, -17396, -17564?\n\"Answer: -n**3 - 12*n**2 + n - 17144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.006 - 1.436. What is n rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7018 divided by -121?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91701 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a week?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -4\/9, -2\/13, 11.3, 3\/7, 4, 295?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 763*q = 377*q - 1251*q + 13096 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2816 and 1967073152?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 + 3*r**2 + 10*r + 8. Let z(c) = -5*c**3 + 5*c**2 + 21*c + 17. Let f = 12 - 15. Let n(d) = f*z(d) + 7*q(d). Is 2 a factor of n(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, c: 8}. Give prob of sequence cpc.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 13 - 1. Calculate the remainder when y is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*x + 131*x - 58*x)*(-1 + 1 + 2).\nAnswer: 268*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.366, -18, 0.4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -329497, -329825, -330139, -330433, -330701, -330937, -331135, -331289?\nAnswer: -331393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -572 - -574. Which is the smallest value? (a) -0.04 (b) g (c) 0.4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3301130 (base 4) in base 16?\nAnswer: 3c5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/7? (a) 11 (b) 4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 467726 divided by 233863\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2019 (b) 408 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*j + 254, -2*t - 4*j = -245 - 239. What is the lowest common multiple of 22\/77 + t\/14 and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2433*g**2 - 4890*g**2 + 2444*g**2.\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-60))\/(18\/225).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**2*q**3 + l**2*q**2 - 235094*l**2*q + 9498*l**2*u - 156*l*q**3*u + l*q**3 - l*q**2 - l with respect to u.\nAnswer: 9498*l**2 - 156*l*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/4 (b) 0.09 (c) 2\/3 (d) -40\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 88.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 2*a - 2*a + a**2 - 2*a. Let s be m(1). Suppose s = 2*u - 2 - 14. Solve b + b = -u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 1044*h + 11 = -1042*h, -3*h + 16 = -5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*0.123.\nAnswer: -0.0492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 6.21. Let k = -3.21 + f. Which is the closest to -1\/3? (a) k (b) 0.2 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f**3 + f**2 - f + 2. Let w(o) = -4*o**3 + o**2 - o + 2. Let c(d) = 5*m(d) - 6*w(d). Let z be c(-3). Solve 0 = -5*b - 33 + z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8482257 - -19486\nAnswer: -8462771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3)\/((-2)\/3). Let p be (5 - 3) + x*1. Let z = 1 + p. Calculate the least common multiple of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 26*g - 205. Give t(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqxmwnx. What is prob of sequence wm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = l + 7*f - 25, -4*l + 30 = 2*f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**3 + 8*f**2 + 9*f - 34. What is the thousands digit of l(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5\/(v**2\/v))**(-7)\/((v**(-1))**(-1\/8)\/(v**1)**(-3\/8)) assuming v is positive.\nAnswer: v**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 7 = 4*w. Let j be 8*(-4)\/w + 1. Calculate the highest common factor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3. Let l = g + 2. Suppose -5 = -l*u + 19. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 1:38 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-90))\/((78\/15)\/13*354\/4)\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*t**2 + 13*t**2 - 5*t**4 - 4*t**4 + 7*t**2 wrt t.\nAnswer: -216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 1514114164?\nAnswer: -1514114202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven quarters of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 3*m = 78, -96*a + 116*a = 4*m + 412 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 35*l**2 - 27*l + 77. Suppose 19*q - 10*q - 27 = 0. What is the remainder when j(q) is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 21879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 65 divided by -6\nAnswer: -65\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 5:13 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 g when three letters picked without replacement from ypggooyphffg?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5*63\/42\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*x - 17, 4*c + 2*x + 6 = 5*c. Calculate the remainder when 60 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r - 6. Let f be w(-6). Let x = -5 - -7. Suppose 0 = 3*z + 3*g + x*g - 14, -5*z + 10 = -5*g. Solve 2*b - 3*v = -0 + 3, -z*b + f = -5*v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3874 (base 9) in base 16?\nAnswer: b56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 35\/11 - 4\/22. Suppose 6 = 4*o + 2, -q = d*o - 7. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 172546, 172548, 172550, 172552, 172554?\n\"Answer: 2*i + 172544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -372760 divided by -5.\nAnswer: 74552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 83*o**4\/24 + 5*o**3\/6 - 8*o**2 - 7. What is the derivative of c(h) wrt h?\nAnswer: 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-4)*(-1 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 5*y + 550, -3*x = -x + 4*y - 224. Let q be x\/(-42)*14\/(-3). Let h = 21 - q. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1130, -5431, -12608, -22667, -35614, -51455?\n\"Answer: -h**3 - 1432*h**2 + 2*h + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -2*g**2 - 3*g - 246053. Suppose 9 = 2*k + 1. Let o(n) = -1. Determine k*o(p) - z(p).\nAnswer: 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 15 = -3*r, 5*r + 0 = 5*s + 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14448200.\nAnswer: 2, 5, 13, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331730 is divided by 188?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-156)\/(-38) + -4)\/((-4)\/(-3519)). Let q = 185\/2 - z. Which is the nearest to 0.1? (a) 3\/5 (b) 1\/6 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25.8 in -2, 3, -2\/19, -1\/26?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 17, 1\/10, -1\/5, -8\/5, -4 in increasing order.\nAnswer: -4, -8\/5, -1\/5, 1\/10, 0.3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*c - 5*a = -144, -c - 2*a + 49 = 0. Let n(g) = -3*g - 2. Let b be n(-2). Suppose 5*i + 81 = 3*s, 2*s + b*i - c = 11. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + t**3)*(t + t - t)*((-1 + 4 - 4)*(-1 - 2 + 2) + 3 - 4 + 3).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h + 5*h - 2*h + (3 - 3 - h)*(0 + 4 - 1) + h + 4 - 4 as l*h + u and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21682 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1365068524?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12496 is divided by 735.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 8*f + 10. Let b(m) = m**2 + 6*m + 9. Determine 3*b(q) - 2*u(q).\nAnswer: q**2 + 2*q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*m**3 - 37*a**2*m*p**2 - a**2*p - 4*a*m**2*p**2 + a*m*p**2 - 11*m**3*p**2 wrt a?\nAnswer: -4*m**3 - 74*m*p**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -477.\nAnswer: -2\/477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 2*r**2 + 0 + r + 1\/12*r**4 - 2\/3*r**3. Factor j(d).\nAnswer: (d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -0.4, 0.2 in increasing order.\nAnswer: -5, -3, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628549089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 1\/10*y**5 + 3 + 0*y**2 + 1\/16*y**4 + 2*y + 0*y**3. Solve b(i) = 0.\nAnswer: -3\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -12649524 and -24 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -27.9. Let z = 2 + v. Let r = -0.2 + 0. What is the nearest to r in 1, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(3\/4))\/(t*t**23*t)*(t**3*t*t)\/t*t**(2\/47) assuming t is positive.\nAnswer: t**(-3611\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u + 61*u - 41*u + 118*u. Is 40 a factor of r(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -0.02, -0.1 in increasing order.\nAnswer: -2, -0.1, -0.02, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10738 - 14?\nAnswer: -10752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103 + -102. Let h = -21 + 11. Let k be h\/(-4) + (-1)\/2. Sort n, k, 4 in increasing order.\nAnswer: n, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6242.\nAnswer: 2, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 2*v - 21*v + 15*v + 32, -19*v + 30 + 16 = -d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z + 24. Let d(p) = -3*p + 48. Let k(u) = 3*d(u) - 7*v(u). Is 22 a factor of k(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 770 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 128170 (base 9) in base 8?\nAnswer: 230503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 5:12 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**7\/1260 + n**6\/360 - 5*n**4\/12 + 5*n. Let w(u) be the third derivative of o(u). Find c such that w(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffqo when four letters picked without replacement from mfoyqoyymqfffyom?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnyy when four letters picked without replacement from nnynnyyyynnnnnnnyyn.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 2 = 7*o. Which is the third biggest value? (a) o (b) -1.6 (c) 2 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4698*h**3 + 2*h**2 - 3*h + 2. Is a(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-1 - 8 + 2*z + 6).\nAnswer: -4*z + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -h + 7. Which is smaller: h or 93?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -6.0442572.\nAnswer: -18.1327716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 17 = -3*h, 2*q + 3*h + 5 = -0. Solve -4*g + q*g = 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352409181 to the power of 1\/3, to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/90)\/((-3)\/27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -522 + 2483. What are the prime factors of q?\nAnswer: 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -21*x + 10*x. Let f(u) = u**2 + 8*u + 3. Determine f(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbclccccblbccclcl. What is prob of sequence bccl?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*l - 104 = 114*l. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2\/9 (c) -2\/3 (d) 3314\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0771 in -3, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**2 + 34*g - 103. List the prime factors of r(-19).\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdss when four letters picked without replacement from {d: 5, s: 5, y: 2}?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u + 35*u - 88*u + 3*u**4 - 21*u**2 = 0. Calculate u.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 0. Suppose -81 - 27 = -3*v. Is (v - (-6)\/(-2)) + t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 259*u - 211*u + 89*u to r*u + b and give r.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -326165 + -431?\nAnswer: -326626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)*k*k)**(-18\/13))**4\/((k*k*k\/(k\/(k**(-1\/3)\/k*k))*k*k*k)**26*(k**9*k)\/k**(-2\/27)) assuming k is positive.\nAnswer: k**(-48068\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/38099040 and 91\/204?\nAnswer: 38099040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d + 3*d**4 + 421 - 421 + (-d**2 + d**2 + 2*d**3)*(-4*d + 2*d + 3*d) + 1 - 1 - d**4 to the form f*d + x*d**4 + m + n*d**2 + a*d**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a minute in seconds?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -31 - 48 - 11) + -10\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3600)\/(-50)*(-7)\/(-56)*10*6\/15?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 1007 = -1016 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11304 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -39*m**4\/2 + 14800*m**3 - 1143969*m**2\/2 - 1218762*m - 30874 = 0.\nAnswer: -2, -1\/39, 43, 718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000110111 + 1100100?\nAnswer: -1010111010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 4*u**2 - u + 1. Let n be r(-4). Solve n*a + 5 = -10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286444583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29953, 59911, 89871, 119833, 149797, 179763?\nAnswer: 209731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 4) + (3 - (1 + -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2 + 5*w + 3*w - 3*w - 4*w. Calculate c(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 47*k + 24. Let t(n) = 48*n + 24. Suppose -17 = 11*i - 61. Let a(r) = i*t(r) - 5*z(r). Is a(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(45\/(-4)))\/((-138)\/115).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 1. Let m(d) = 2*d + 3. Calculate -m(b) + 4*u(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 12 - 6. Suppose r = -2*w - 4*v - 0, 5*w = -4*v + 1. Solve 2*q = -5*x - 13, x + 1 = -q - w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.3047 nanograms in tonnes?\nAnswer: 0.0000000000001903047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 6*q**2 + 8*q - 27. Calculate the lowest common multiple of l(6) and 70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2503553394.\nAnswer: 2, 3, 417258899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 2)*(g - 6*g - 4*g) + (-2 - g + 2)*(1 + 1 - 1).\nAnswer: 44*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 - 909*v**3 + 67479*v**2 + 208845*v + 140454.\nAnswer: 3*(v - 153)**2*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/1091862 and -17\/242636.\nAnswer: 2183724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d + 0*d + d + (2 - 2*d - 2)*(22 + 17 - 47) to the form v*d + q and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/7 and -43\/149.\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -176202*i + 2643029. Determine u(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -20100210201 (base 3) to base 8\nAnswer: -364475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 337, 19, -1 in ascending order.\nAnswer: -1, 19, 337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + u + 17 = 0, 4*k - 9*u = -6*u - 33. Does k = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2510?\nAnswer: 2, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.3 - 0.7. Let t = m + 14. Let j = -9 - -5. Which is the nearest to t? (a) 4 (b) j (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -5*z - 4*n, -n = 3*z. Let l be -1 + (-6)\/(4 + -1). Let a = l + z. Let v(h) = -h - 3. Give v(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**5 - 9*z**5 - 4*z**5 - 5*z**5 + z**5 + 3*z**5 + (-4*z**4 + 4*z**4 - z**4)*(z + 3 - 3) + 2 - 2*z**5 - 2.\nAnswer: -16*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000215437702 to seven dps.\nAnswer: 0.0000215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 56158048631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 37341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 17 (b) 121\/2 (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6166 (b) -5 (c) 577\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*x + 18 = 0, 3*x - 8*x = -3*f + 88. Let c(k) = 14*k + 1 + 19*k - f*k. Calculate c(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3, -4, -25, -66, -133, -232, -369, -550?\n\"Answer: -u**3 - u**2 + 3*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeszzzse. Give prob of sequence zesz.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 11.3. Let g = j - -1. Which is the third biggest value? (a) -0.4 (b) -0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5105, 19679, 43999, 78065, 121877, 175435?\nAnswer: 238739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5068, -9570, -14072, -18574, -23076, -27578?\nAnswer: -32080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*c - 386*c = 431*c + 1863 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 391918\/475345 + -347\/923. Let m = g + -5\/103. Let y be ((-1)\/6)\/(7\/3). Which is the third smallest value? (a) m (b) 2 (c) y (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -156*a**3 + 24*a**2 - 75*a - 24. Let n(z) = 31*z**3 - 5*z**2 + 15*z + 5. Let r(y) = 5*g(y) + 24*n(y). Find the second derivative of r(k) wrt k.\nAnswer: -216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -1)*(-17 + 18). Suppose j + l + 4 = 0, 501 = 4*x - 5*j. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4\/13 - 3954*b**3\/13 + 1214*b**2 + 3954*b\/13 - 15784\/13 = 0.\nAnswer: -1, 1, 4, 1973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8259137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*61 + 1\/(-1). What is the highest common divisor of r and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000050358042 to 6 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87082*-1.\nAnswer: -87082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/68 and 5 - 34\/289*351\/12?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4136 by -2.\nAnswer: -2068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**4\/12 - 33*p**2\/2 + 26*p - 2. Let j(l) be the first derivative of i(l). What is the derivative of j(v) wrt v?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -133 + 143. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 5*u + 8. What is the units digit of (-15882)\/u + (-2)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 39 = 3*r, 0*r = -3*r + d + 39. Let z = r - 7. Find j such that -4*j**5 - 4*j**4 + z*j + 4 + 2*j**5 + 4*j**3 + 8*j + 16*j**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.392326ml to litres.\nAnswer: 0.003392326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/40 and -87\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2*(-6)\/(-20)*-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286843116 to the power of 1\/3, to the nearest integer?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 12. Let k be (j\/(-4))\/(4\/32). Find the third derivative of -4*p**4 - 2*p**2 - 4*p - 2*p**4 + k*p wrt p.\nAnswer: -144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/115*(-2)\/(4\/1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13925 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 129703351391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 9*q**2 - 10*q + 10. List the prime factors of d(10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*m**3 - 11*m**3 - 14*m**3)*(-3*m + 2*m + 2*m).\nAnswer: -17*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 + 6*r**3.\nAnswer: 2*r**3*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28377 + -11601. What is the greatest common divisor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 490 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 13*q = 0. Let x be (q - -11) + -7 + (-1 - -1). Calculate the greatest common factor of x and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26185665*k - 46548854?\nAnswer: -26185665","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -13*y**2 + y - 1. Let l be u(-2). Is -166\/3 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 f when three letters picked without replacement from {j: 2, f: 17}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a century?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten thirds of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -279005451 divided by -123.\nAnswer: 2268337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 271*o**2 + 1. Let z be s(-1). Suppose z*d = 280*d - 24. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence auua when four letters picked without replacement from uaauuaauuauaua.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.21 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 547219485, 547219484, 547219483, 547219482, 547219481, 547219480?\n\"Answer: -w + 547219486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 15*p**2 - 18*p - 30. Let c be u(-16). Let r(l) = 19*l - 1755*l**c + 1754*l**2 - l. Let t(g) = g. Give t(r(s)).\nAnswer: -s**2 + 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 9:11 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 89415 take away 11459.471?\nAnswer: 77955.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 - 8 = -6*k + q, -q + 2*q - 55 = k - 58 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -37*x**5\/15 - x**4\/24 + 5*x**3\/2 + 2*x**2 - 12. What is the second derivative of d(b) wrt b?\nAnswer: -296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 43. Let g = -12 + m. Suppose g + 2 = i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 + 53.6. What is the third smallest value in a, -3\/7, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -950*l - 22. Let p be a(-1). Suppose -33*r + 37*r - p = 0. Is 29 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*p**3 - 29*p**3 - 32*p**3.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.21 * 0.022.\nAnswer: -0.00462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 218001528 to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -3, 987, 2 in decreasing order.\nAnswer: 987, 5, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11e9b (base 16) in base 6?\nAnswer: 1323403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*k**6 + 663*k**5 - 6*k**2 - 74*k wrt k?\nAnswer: 480*k**3 + 39780*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**2*u**4 - 20*o**2 + 632768*o*u**4 + 7*o*u**2 + 6*o wrt u?\nAnswer: -72*o**2*u + 15186432*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from {m: 18, x: 1}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 - 235*b**3 - 1250*b**2 + 6000*b.\nAnswer: -5*b*(b - 3)*(b + 10)*(b + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-17)*k\/((k*k\/k**(-20))\/k*k)*k)**(1\/12) assuming k is positive.\nAnswer: k**(-37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 + -36 + 71 + 19?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h - 30. Suppose -4 = -0*u + 2*u, -5*g - 5*u = -660. What is the remainder when g is divided by r(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 80 in 27, -0.2, -0.3?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37778*i**3 - 176*i**2 - 27 wrt i?\nAnswer: -226668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10)\/(391\/(-65) - -6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -1 + 2 + 2 - 4*f**3. Let m(n) = n + 1. Let q be (-6)\/(-4) + 6\/(-12). Let v(d) = q*h(d) - 3*m(d). What is the second derivative of v(l) wrt l?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - 537610?\nAnswer: -537573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuyuuuyuuuuuuuyuuuu. What is prob of sequence uu?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5\/41 (b) -0.4 (c) 2\/13 (d) -10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (0 + 2 + 1 + -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89*v - 130*v + 148*v)*(-2*v - 2*v + v)*(2 + 2 - 3).\nAnswer: -321*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 + -13. Let q = g + -46. Does 21 divide 2317\/63 - q - (-4)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3054*k**5 - 673919*k**4 + 6499268*k**3 - 12922215*k**2 - 11719700*k - 11500 = 0. What is k?\nAnswer: -230, -2\/3, -1\/1018, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + (-51)\/15)\/4. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.179*-180.\nAnswer: 32.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 30384384 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 - -85. List the prime factors of o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 1\/16 (c) 3 (d) 83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -1\/5, -5.\nAnswer: -39, -5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 41 = -4*m, -12*f - 20 = 5*m + 89 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5049?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8822644?\nAnswer: 2, 2205661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = o + 18 + 3, -3*q - o + 14 = 0. What is the derivative of 5*m + 7 - q - m + 5 wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -36*y + 12*y + 14 + 22*y. Let s be z(3). Solve 4*k + s = 2*f, 2*k = -3*f - k + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2340936 to the nearest integer?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00550846886 to 4 dps.\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1865\/1161, 2 in ascending order.\nAnswer: -1865\/1161, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31206594 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 442037, 442039, 442041, 442043, 442045, 442047?\n\"Answer: 2*q + 442035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 107\/10 - 56\/5. Let t = 31 - 13. Sort t, 0.1, -0.2, c in descending order.\nAnswer: t, 0.1, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9031246?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 131069, -0.039, 3\/7?\nAnswer: 131069","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -12*r + 41. Let f be j(0). What is the greatest common factor of 205 and f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 k when four letters picked without replacement from ggkgggkk.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 63 = -6*v + 2*v, -29 = -3*g + 2*v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-168))\/(-2*15\/18).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1507, 1167, 827?\n\"Answer: -340*w + 1847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2545 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0708 + -0.0701635. What is t rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 3. Let d = -14 - -38. Suppose -5*h - d = 3*h. Let b be u(h). Solve -4*w - 17 = 5*s + 11, 4*s + 5*w + 26 = b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 180*f**2. Let u(k) = 4*k - 107. Calculate u(m(h)).\nAnswer: 720*h**2 - 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 19.1. Let l = r + 0.8. Is l not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 37*p + 29*p + 1.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/20 of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**6\/120 - h**5\/10 + h**4\/24 - h**3 + h**2. Let j be p(6). Let g = 68 - j. What is the remainder when g is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzl when three letters picked without replacement from etzdtzdlmmlldteze?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6774262 is divided by 284.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**9)**35\/(y**(-35)*(y\/y**(-27\/4))\/y) assuming y is positive.\nAnswer: y**(1373\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*v**4 + 81 - 81 + (v + 0*v - 2*v)*(2*v**3 + 3*v**2 - 3*v**2).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.6 or -24.6?\nAnswer: -24.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, w: 9}. What is prob of picking 2 l?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*g**2 - 170*g**2 - 63 + 22 + 19 + 22.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18589*v - 9365*v - 9338*v - 3078 = 0 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 535 and 1032550?\nAnswer: 1032550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 greater than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -y - 4*q, 0*y + 2*q + 6 = -y. Is 11967*((-2)\/(-3))\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -1655, -2, 2, -0.26 in descending order.\nAnswer: 2, -0.26, -2, -22, -1655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -13*g**3 - g**2 - 3*g - 1. Suppose -3*l + 10 - 1 = 0, -4*s - 2*l = -2. Let a be t(s). Calculate the greatest common factor of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a + 2*a)*(3*a - 4*a + 3*a) + 106 - 4*a**2 - 106 - 2*a.\nAnswer: 4*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -16\/9, 0.5, -3, 0.2 in increasing order.\nAnswer: -3, -16\/9, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3 + k - 3*k + 2*k - 6*k. Let n be a(3). What is the common denominator of 33\/16 and (-22)\/4*n\/21?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -1\/131017100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 72291 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 493468 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: Calculate the highest common divisor of 16 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11031200 + -11131?\nAnswer: -11102331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 7:51 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 2:37 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 2*z - 101. Let y = z - 94\/3. What is the nearest to -2\/3 in -2\/3, y, 2\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, i: 2, w: 1, e: 2, g: 4, c: 2}. What is prob of sequence icgw?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -0.473 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5854 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19616137609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 29\/7 + 4\/(-28). Let l(j) = 27*j**2 - j. Let h be l(-1). Calculate the greatest common divisor of h and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.826m in nanometers?\nAnswer: 81826000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.75 + 0.75. Which is the second biggest value? (a) -5\/6 (b) 3 (c) s (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 109?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**3*i*i))\/i)**(-28))**(1\/6)\/((i*i**1*i)**1\/(i*(i\/((i\/(((i\/(i*i*i\/(i*i**(-1\/5))))\/i)\/i))\/i))\/i*i)**(-15\/4)) assuming i is positive.\nAnswer: i**(149\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10}. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6000\/23 or -262?\nAnswer: -262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5622067 (base 8) to base 5.\nAnswer: 342012344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-2*(-3)\/(-183)). Is 14 a factor of 1\/(-2) + x\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 32*h + 220. Calculate b(-23).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59837758613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**4\/6 - p**2. Let x(q) = -6*q + 43. Let g be x(6). Let z(w) = -g*w + 6*w - w. Calculate u(z(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from {c: 7, g: 3}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-1)*(-220)\/(-352)*(-6)\/10\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + y - 80 = -62, -4*y + 39 = 5*g. Solve h = i + 2*i - 6, g*i = 4*h + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14*10\/6*816\/(-680)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -97394 - -39?\nAnswer: -97356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 1:17 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7 - b**5 + b**2 + 4*b**3 - 3*b**4 - 3 - 1 + 2*b**2. Let f(l) = -l**5 - 4*l**4 + 5*l**3 + 4*l**2 + 4. Let m(u) = -3*f(u) + 4*k(u). Solve m(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132 * -0.02\nAnswer: 2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/8)\/(-1*(-28)\/(-8))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.1 - 10. Which is the second smallest value? (a) d (b) 2\/9 (c) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1019 and 6?\nAnswer: 6114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - (-102 + 85 - 73).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 676.1455l in millilitres?\nAnswer: 676145.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13202 (base 8) in base 9?\nAnswer: 7812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 8*j**2 + 19*j + 1. Let i be h(-3). Suppose i*l - 4602 = 5686. List the prime factors of l.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (19 - (-2 - 0))\/((-2)\/(-28)). Calculate the greatest common divisor of 9 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*r - 2\/9*r**3 - 20\/9 + 20\/9*r**2.\nAnswer: -2*(r - 10)*(r - 1)*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 48\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 147276335 less than or equal to 147276336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*-2*(-4)\/24*15\/(-160).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 - (-34 - (-45 + 14)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000058811 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, o: 1, e: 1, v: 4}. What is prob of picking 1 p and 2 v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**4\/12 - 7*c**3\/3 + 60*c**2 - 1208*c. Determine k so that z(k) = 0.\nAnswer: -20, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9232*-326.\nAnswer: -3009632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 3*u = 112. Let a be (u\/(-134))\/(46\/92). Is a at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -116*b - 4*b**2 + 232*b + 7*b**2 + 166*b + 3*b**2 in the form v*b + k + y*b**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 1309*i**5\/20 + 1085*i**4\/4 - 3*i - 126. What is the third derivative of d(x) wrt x?\nAnswer: 7854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6970.84 to the nearest 100.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t**3 + 2*t**3 + 3*t - 63*t**3.\nAnswer: -48*t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1600*u - 1609*u + 6417*u - 1601*u + 346*u**2 - 1608*u.\nAnswer: 346*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8 + 5)*(-1 + 0). Let a = -12 - -17. Suppose 0 = -r*x - a*g + 16, x - 2*x + g = 0. Solve b - 2 = -2*v, -2*b - x = 2*v + b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by -1.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 156 + -94. Let v be ((-16)\/(-12))\/(f\/6 + -3). Which is the second smallest value? (a) -5 (b) -1 (c) v (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -281 * 0.4\nAnswer: -112.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 5, -141, 1\/2, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0 (c) -11 (d) 0.21 (e) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmp when three letters picked without replacement from {m: 2, z: 1, r: 3, l: 1, u: 3, p: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -222*v - 509. Let k(w) = -82*w - 191. Let j(b) = -19*k(b) + 7*u(b). What is j(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from iqcqzbjb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*t + 298 = -7*t, 0 = -5*k - 5*t + 1550. Suppose 3*d - k = -d. Suppose 0*r + 2*r + 2*j = 46, 4*r - j = d. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i**2. Let l(k) = -24*k**2 - 22*k**2 + 73*k**2 - 26 - 34*k**2. Calculate l(q(p)).\nAnswer: -252*p**4 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/5 - 142*b\/5 + 417\/5.\nAnswer: (b - 139)*(b - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 15. Let r(o) = o**2 + 8*o - 7. Let t be r(b). Let v be 2 + -5 + t + -1. Put v, -5, -1\/7 in decreasing order.\nAnswer: -1\/7, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 135 + 0*f - 5*f + 3*f - 186. Let j(v) = -12*v**2. Calculate a(j(n)).\nAnswer: 24*n**2 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/329004 and -31\/288249?\nAnswer: 127982556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -2*t**7\/21 - 31*t**5\/60 - 38*t**2. Find the third derivative of k(j) wrt j.\nAnswer: -480*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1272 - -1271.5. What is the closest to 10 in 2, 1\/8, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 12*v - 11. Let d(h) = h**2 - 6*h - 5. Let r(g) = 5*d(g) - 2*w(g). Calculate r(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -v - 353, -v + 350 = 4*r - 3*v. Suppose x = -r - 67. What is the lowest common multiple of 16 and 8\/(-20) - x\/15?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18242825563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -11203?\nAnswer: -11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + -4*(sqrt(65) + -2*sqrt(65)) - sqrt(65))\/(sqrt(40)\/(-1*sqrt(8))).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/2 of a century?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2)*(-52*c + 23*c - 11*c)*(-2*c**3 - c**3 + c**3).\nAnswer: -160*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -201f4?\nAnswer: 201f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 17*q**2 - 381. Let x(f) = -6*f**2 + 128. What is -11*x(u) - 4*y(u)?\nAnswer: -2*u**2 + 116","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39a900 (base 11) to base 7.\nAnswer: 5230520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2098 - 752. Suppose 3*h = 5*h - f. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84 * -126.\nAnswer: 10584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q - 1. Let h(u) = -11*u + 13597. Determine h(x) - 3*m(x).\nAnswer: -2*x + 13600","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 36346323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 170940.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 3 = -4*v. Let b be v - (-192 - (3 - 2)). Suppose 4*h + h = b. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -286 < -1281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2598 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -150, -1036, -3386, -7932, -15406?\n\"Answer: -122*o**3 - 32*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 12:47 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 6 + -2 + (-11 - (-11 + 20 + -41))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/12)\/((-42)\/(-630))*4\/(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/(-15) + (-5 - -2) - (-3)\/(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 13*i**2 - 4*i + 12. Let n = -2554 + 2567. What is o(n)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16759 in -15, -22.9, -0.3?\nAnswer: -22.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 9*v**4\/4 + 13*v**3 - 21*v - 3. Let j(h) = -h**3 - 4*h**2 + 2. Let o(n) = -21*j(n) - 2*s(n). Factor o(f).\nAnswer: 3*f**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*i - 3*z + z, -4*i + 5*z + 21 = 0. Let r(y) = 2*y - 3. Let w be r(i). Let g(l) = -l**3 + 5*l**2 + 7*l. Is g(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twhtttw. What is prob of picking 1 t and 1 h?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 766.0458 rounded to the nearest ten?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21017 - -4?\nAnswer: 21022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aya when three letters picked without replacement from {y: 4, a: 2, h: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558810594.\nAnswer: 2, 3, 59, 197, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*h - 2*m + 99 = -114*h, h - 84 = -5*m. Solve 3*n - 9 = -2*f, -110*f + 4*n = -h*f + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(13) + -1 + 0.\nAnswer: -6 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2516 or -2514?\nAnswer: -2516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97 - 63. Let y = -36 + t. Which is the biggest value? (a) 0.2 (b) y (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**2 - 5*g. Let p(y) = 14*y**2 - 14*y. Let u = -194 - -205. Calculate u*v(t) - 4*p(t).\nAnswer: -t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -23*g**5\/120 + 10*g**3\/3 - 15*g. Let h(t) be the second derivative of o(t). Let y(k) = -2*k. What is h(y(m))?\nAnswer: 46*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-7410)\/78 + 59 + 52\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/5 - 13*s\/5 + 42\/5.\nAnswer: (s - 7)*(s - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25336 - 144. Calculate the smallest common multiple of 18 and b.\nAnswer: 226728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-114)\/9)\/((-2)\/(-129)). Let z = c - -829. Solve 0 = z*p + 42 + 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 9:50 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/27*3*15\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 1016108082?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/5))**11)**(-23)\/(r**0*r*r*r\/((((r**4\/r*r)\/r)\/r*r)\/r)*r*(r*r\/((r\/(r*r**(-1\/4)*r))\/r))**(-2\/9)) assuming r is positive.\nAnswer: r**(-4589\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-21) + (-3774)\/(-5355)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10 + 0)*2\/(-4). Suppose 2*j + 12 = -2*j. Let u(r) = 2*r**3 + 7*r**2 + 5*r - 3. Let f(d) = d**3 + 4*d**2 + 3*d - 2. Calculate g*f(s) + j*u(s).\nAnswer: -s**3 - s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29470906 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 6*d**2 + 3*d + 3. Give j(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 73895 = 5*o, 4*o - 4*g = 15857 - 74997. Let z = 26172 + o. What is z rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-12))\/((-2)\/(-20)). Suppose g*j - 45 = -5*d, -5*j = -d - 2*j - 11. Solve -8 - 4 = -d*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39403 divided by -2\nAnswer: 39403\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 divided by -88331?\nAnswer: 93\/88331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 divided by 45.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 147.3321 (c) -2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29341 + -29341. Which is the nearest to 2\/7? (a) -165 (b) s (c) -7 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 8:58 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 518\/9 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 183.\nAnswer: 182.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -728 = -9*f + 37. Is 17 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 10*p**2 + 26*p - 429. What is the tens digit of q(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1811 + 1873. Calculate the highest common divisor of 961 and c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -255460 (base 9) in base 10?\nAnswer: -154926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22425332?\nAnswer: 2, 5606333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1523536, -1523503, -1523470, -1523437, -1523404?\n\"Answer: 33*r - 1523569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 71.5 and 8.2.\nAnswer: 586.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 9:50 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.43 (b) -9 (c) 4 (d) -756 (e) 3 (f) 0 (g) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11033 + 212210?\nAnswer: 201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmyymmvyvyyyyy. What is prob of picking 2 y and 1 m?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -952 by 27.\nAnswer: -952\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 56. Let d = x + 93. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 226*x**3 + x**2 + 4*x - 4. Let y be s(1). Suppose -3*n + 2*r = 5 - 329, -5*r - y = -2*n. List the prime factors of n.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -65*f - 6461. Give n(-89).\nAnswer: -676","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 1. Let o(p) = -p**3 + 8*p**2 - 8*p + 11. Let h be o(7). Let u(s) = -s + 1. What is h*a(i) + 6*u(i)?\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (70*d - 18*d**3 - 70*d)*(-9 + 10 + 9)*(0 + 0 - 2*d) to h + c*d**2 + l*d + z*d**4 + p*d**3 and give z.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2854?\nAnswer: 2, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(-152))\/(2\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24 + 9*o - 24 + (0 + 0 + 2)*(o + 2*o - o) + 3*o + 0*o - 2*o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + 276. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -15*x - 2. Let k(n) = -n. Determine -g(u) - 5*k(u).\nAnswer: 20*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 432?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 8*x**2 + 4*x - 22. Suppose 0 = 14*p - 17*p + 117. What is the remainder when p is divided by i(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - a. Let x(i) = -76*i**3 - i - 2. Let c(h) = 2*t(h) - x(h). Let w be c(2). Suppose -w + 75 = -3*m. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -8\/17, -84?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8984 divided by -24\nAnswer: 1123\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -579 - -4071\/7. Put -5, -4, 2\/9, r in ascending order.\nAnswer: -5, -4, 2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/2*4)\/2. Suppose 0*s = y*s. Suppose s*i**2 - 1 + 0*i**2 + i - i**3 + i**2 = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 2 (b) -1\/6 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101569 = -4455*f - 349886 - 268463 for f.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**2 + 3*t - 4. Let q be h(-2). Let j(g) = g**3 - 6*g**2 + 8*g - 12. Calculate the remainder when j(q) is divided by 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9111461897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*c - 12*c**5 + c + c wrt c.\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 - 2*d + 6. Let j be w(4). Let s(m) = -2*m**2 - 3. Let x(v) = 11*v**2 + 17. Let i(l) = j*s(l) - 6*x(l). Let h(t) = -3*t**2. Calculate h(i(n)).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 - 88*i**2 + 86*i + 4. What is x(43)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46471398 to the power of 1\/2, to the nearest integer?\nAnswer: 6817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7874979 and 938?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2444 and 1430.\nAnswer: 134420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*a + 2*v + 79021 = 41*a, 4*a - v - 105358 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -a + 1072, 2*r + 216 = a - 847. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1168 is divided by 145.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**3 + 8 + 5 - 4*a**3 - 20*a + 13*a**2 + 7*a. Let t be x(12). Suppose 5*d + 4*y - 11 = 0, -2*d + 2*y + t = -7. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -898 - -1629. Let k = d - 734.09. Round k to 1 dp.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760737952 to the power of 1\/3, to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*n - 30378 + 29412 = 0 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7256.5 and -218?\nAnswer: -1581917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-4)*(-4)\/(-10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10481*m**3*v**2 + 5*m**3*v - 10*m**2*v - 34*m + 2*v wrt v.\nAnswer: -20962*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4993495813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 - 75.9. Let z = -2635\/8 + 329. Put z, p, -0.5 in descending order.\nAnswer: p, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-10)\/(-15)*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-4 - -4) + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*t - 17 = -t, 0 = -h + t + 8. Let p be (-2)\/h - (-2016)\/108. What is the highest common factor of p and 486?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14 (b) 0.4 (c) -0.2 (d) -5 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 146\/(-1*(-1)\/(-2 - -1)). Let o = 261 + t. What are the prime factors of o?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 101\/3740 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**2 - 10*g**3 + 25 - 37 + 2*g**2 wrt g?\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258265 is divided by 129062?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2092393 is divided by 1343?\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -6*x + 3*x - 5*d, -4*d - 26 = 5*x. Let f be 1\/2*(-12)\/x. Solve -5*l - 40 = 5*g, -l + 2*l + f = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1232322 divided by -1554.\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 8:43 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66\/7 + 153\/14. Suppose 3*s - 17 - 6 = -5*z, 0 = -2*s - z + 6. Suppose -4*t - s - 7 = 0. Which is the closest to t? (a) 5 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52827, 52911, 52995, 53079, 53163, 53247?\nAnswer: 53331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.002 and 0.3?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11923834*d**6 - 382172*d**2 - 3.\nAnswer: -1430860080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 56\/(-70) - (-1885512)\/15. What is k rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 82*a - 89 - 676 - 137 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -912911, -912912, -912913, -912914, -912915?\n\"Answer: -q - 912910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25815 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 - 13)*(2512*n + 1972*n - 5185*n) to the form q + x*n and give x.\nAnswer: 13319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 79904252 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157 = 15*f + 187 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1913 = -z, 5*u - z - 14136 + 4589 = 0. What are the prime factors of u?\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -2*g**4 + 2*g**3\/3 - g**2 + g - 55. Let x = -3 - -4. Determine j(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1\/5 (b) -0.5 (c) -1082\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**4 + 626*o**3 - 2678*o**2 - 45146*o - 41844 = 0.\nAnswer: -317, -6, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 2*a - 3. Give z(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 645179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 35\/24*w**4 - 6*w**2 - 5\/2*w**3 + 0 + 0*w. Let x(u) = -5*u + 2. Let h be ((-2)\/4)\/(8\/(-16)) + 1. Give h*t(s) + 15*x(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/3)\/((-2)\/(-3)). Let o be (0 - (-9 + y))*1. What is the derivative of -o*p**4 - p + p + 1 wrt p?\nAnswer: -32*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 58, 70, 64, 34, -26, -122?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/9 and -127\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 307.29654 + 0.67346. Let p = r + -306. Round p to one dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13455 is divided by 66.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(-3\/7)))\/(m\/(m*m*m*(m*m\/m**(-3\/8))\/m*m)))**26 assuming m is positive.\nAnswer: m**(2873\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 547030069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.107 - 0.007. Are -2\/181 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f - 7. Let y be l(5). Let c = y - 2. Let k = -78 + 86. What is the least common multiple of c and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.1 - 18.9. Let g = -1.1 - -0.1. Which is the nearest to g? (a) i (b) 3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/7 - 31824*z + 886171104.\nAnswer: 2*(z - 55692)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (53\/(-6) + 5)\/(14\/(-6)). Let r = -243\/182 + m. Let f = 54\/91 - r. Which is the second smallest value? (a) f (b) -0.3 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 2)*(-5*q + 2*q + q)*(-2*q**2 - 3*q + 3*q)*(-2 - q + 2) to y*q**3 + g*q**2 + o*q**4 + s*q + i and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*a*q**2 - a*q - 113575*a - 18*q**2 - 4*q wrt q?\nAnswer: -28*a*q - a - 36*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/6 - 2\/6. Suppose -4*v + 5*j - 17 = -2*v, -2*v + y = -j. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9604*q**4 - 21364*q**3 + 703960*q**2 + 4087888*q + 6129120 = 0 for q.\nAnswer: -226\/49, -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 268?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 413976 and 3664128?\nAnswer: 172214016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33926 = -2*h - 3*b, 0 = 49*b - 41*b. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*p - 32 = -v, 4 = -2*v + 3*p. Suppose 5*g = 4*y - 1756 + 7531, 4609 = v*g - y. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h - 5*l - 320 = 0, -5*l + 715 = -2*h. Let b = h - -372. Calculate the remainder when 107 is divided by b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pca when three letters picked without replacement from {c: 4, r: 3, p: 1, t: 1, l: 1, a: 5}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000009233 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*w - 29*w + 11*w.\nAnswer: -44*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*(f**(1\/4)\/f)\/f*f*f**(1\/9)*(f*((f*(f**(-2\/9)*f)\/f)\/f)\/f)**(-22))**(-24) assuming f is positive.\nAnswer: f**(-150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40304 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51178890.\nAnswer: 2, 3, 5, 7, 243709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84 - 83. Suppose -4*k + 5*f + 4 = 0, -2*f = k + 2*f - 22. What is the lowest common multiple of k and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vugkukfp. Give prob of picking 1 g, 1 u, and 1 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-39)\/(-1)*(-4)\/(-3). Suppose -2*r - 38 = -4*v, -4*r - h = -6*v + v. Let c = v + -3. Solve -z - c = -0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 306355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (56028\/(-26082))\/((-2)\/(-6))\nAnswer: -58\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l + l - 12 + 4 - 2*l + 14*l - l**2. Calculate z(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 338\/8181 - 316931\/33214860. Calculate the common denominator of 51\/6380 and x.\nAnswer: 44660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 1 = 0, -3*x - 137 + 150 = 2*h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) + sqrt(88)*-1)\/sqrt(8))**2*-2 + 2 + -5)*4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 10. Let y be b(5). Let m(h) = -4*h**2 - h + 3 + y*h**2 + 2 + h**3. Calculate m(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 50*c - 49*c - 4, 2*c - 2 = -10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 5. Let c be ((-36)\/(-21))\/(y\/14). Let o(d) = -d**3 + 7*d**2 - 6*d + 4. Let v(g) = 3*g**3 - 20*g**2 + 17*g - 11. What is c*v(p) + 17*o(p)?\nAnswer: p**3 - p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9651?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/130 + (-165)\/(-195)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187327475?\nAnswer: 5, 7493099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 10*p**2. Let s be r(2). Let x = -16 - -21. Suppose x*i = 5*l - 0*l + s, -3*i - l + 12 = 0. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 3*n + 2. Let z = -34 - -29. Let w be o(z). Suppose u - w = -3*u. Solve -1 - 5 = u*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-9) - 5\/((-135)\/(-24)). Let p = -24 - -13. What is the closest to -2 in 3, p, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + 2. Suppose v = 5*k + 3*a, -4*k + 4*a + 42 = k. Suppose -3*p = -f + 85, -k*f + p = -f - 397. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 - -302130331?\nAnswer: 302130232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 361777584 and 2352.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315 = 243*m + 10561 + 2284 + 6910 for m.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16 and -10628759347856?\nAnswer: 10628759347840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*b + 205 = 62*b - 845. Calculate the greatest common factor of b and 15350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35625 + -4?\nAnswer: 35621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -7122 at least -7116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4254\/406043?\nAnswer: 4254\/406043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5))**(1\/16)\/(f\/(f*f\/(f\/f**(-1\/3))*f)*f*f**(-1\/15)))\/(((f*f**3)\/f**(-1\/8))\/(f*f**(-2\/9))**15) assuming f is positive.\nAnswer: f**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2. Let m(o) = 448*o + 5. Let j(p) = 70336*p + 784. Let a(h) = 5*j(h) - 784*m(h). Give a(g(k)).\nAnswer: 448*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 5*v + 3*j - 9, 3 = j. Suppose 0 = -2*w + 4*a + 80, 3*w - a - 138 = -43. Let f = 27 - w. Sort 5, f, v in decreasing order.\nAnswer: 5, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3397*s + 1. Let l be y(-1). Let j be (l\/18)\/(2\/(-3)). Suppose -27 = -4*r + a + j, 3*r - 4*a = 239. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 161 in -24, 2\/11, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 180540 or 180416?\nAnswer: 180416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 - 24*m**3 + 28*m**2.\nAnswer: -4*m**2*(m - 1)*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**5\/30 - 7*i**4\/24 - i**3\/3 - 2*i**2. Let m = -161 - -176. Let d(x) = -48*x + m*x + 12*x + 20*x. What is -5*d(y) + p(y)?\nAnswer: 2*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5))**(-42) assuming i is positive.\nAnswer: i**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 711, 776, 841, 906?\nAnswer: 971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(891)*-2 - (sqrt(891) + 2 + -4)) + 4)**2.\nAnswer: -108*sqrt(11) + 8023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 90, -11079.\nAnswer: -11079, 1, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29312 (base 11) to base 14.\nAnswer: -11261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -f + 6. What is the second derivative of -3*k - k**5 + 5*k**3 - 5*k**f wrt k?\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 11*h = -148. Let a be (1*35)\/(5 - 4). Let u = h - a. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231625.7 grams to nanograms.\nAnswer: 231625700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6*2\/6. Let y = 111 + -110.8. Does n = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*t + 0*t = 30, 4 = t. Suppose -6*d + m*d = 200. What is the lowest common multiple of d and 6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/9*6\/10.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 379*y**2 + 61 - 87 + 24.\nAnswer: 379*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 771, 779, 793, 813, 839, 871?\nAnswer: 909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 4*h**2 - 4*h**2 + (2 - 2 + 2*h**2)*(2 - h - 2) + 5*h**3 - 6*h**3 - 6*h**3)*(-21*h**2 + 239*h - 239*h).\nAnswer: 231*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7249416973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -63\/8, 2, 1, 4\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1742, 1743, 1746, 1751, 1758, 1767?\n\"Answer: u**2 - 2*u + 1743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(684) + 4 - sqrt(684)) - sqrt(684))**2 - (sqrt(209)\/(sqrt(11) - sqrt(44)) + (sqrt(76) - (sqrt(76)*-2 - sqrt(76))))**2.\nAnswer: -84*sqrt(19) - 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-40)\/(-5) + -3)*-1. Let l be (-6 - j)\/((-4)\/52). Calculate the highest common factor of 143 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1876 + 63*m - 1876 to r + t*m and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1187 + -172. Suppose -1016*k + 1438 = -p*k. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sq when two letters picked without replacement from qcsaqassqccaacsswa?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 9 = -4*r. Let y(k) = 7*k**3 + 3*k. Let s(m) = -m**3 - m. Determine r*s(z) - y(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -165364 or -165365?\nAnswer: -165364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12498 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1328 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 945 is divided by 473?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t + 2. Let l be k(7). Let y be (-3)\/(l\/4399988) + 3. Round y to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -7*s**4 - 2*s**2 - 12*s. Let u(f) = -57*f**4 - 17*f**2 - 97*f. Let q(r) = -6*u(r) + 51*x(r). What is the second derivative of q(k) wrt k?\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 + 1541?\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, d: 3, s: 3, n: 5}. What is prob of sequence sdny?\nAnswer: 9\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 40.1 (b) -1\/11 (c) -1\/2 (d) 1 (e) -2\/9 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(12\/20) - 3. Solve i + d = -0*d, -b*i + 4 = -2*d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16.4 and 1039.066?\nAnswer: 17040.6824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 1000321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 496860 by -124215.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*q - 2*m - m, 3*m + 96 = 5*q. Suppose -o + 4*v = 0, 0*o + o - q = -3*v. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 318 + -194. List the prime factors of t.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - k + 3. What is x(4)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.2 + -3. Let a = 2 + -1.8. Let w = a + 0.8. Which is smaller: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*t + 146649 = 1987768, 0 = -3*l + 3*t + 1841094. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23450 - 15939. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -18*b. Let v(q) be the first derivative of 14*q**3\/3 + 431. Give r(v(k)).\nAnswer: -252*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 0 - -1 - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -963\/5 - -192. Which is the closest to -1? (a) z (b) -1 (c) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and -12.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/14 - 240\/(-126). Factor p*o - 3*o**2 - 1\/3*o**4 + 5\/3*o**3 - 2\/3.\nAnswer: -(o - 2)*(o - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1172852.\nAnswer: 2, 293213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 smaller than -2671\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*t**2 + 204*t - 1.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*m + 6, -2*m + 6*b - 3*b + 15 = 0. Find the second derivative of -98*q**3 + 97*q**m - 13*q - 11*q - 17*q**4 wrt q.\nAnswer: -204*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u. Let c(x) be the first derivative of -39*x**2\/2 - 3. Give i(c(w)).\nAnswer: -78*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25488238, -25488235, -25488230, -25488223?\nAnswer: -25488214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -34*v**2 - 7253*v + 4591. Calculate a(-214).\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1132 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((16\/40)\/((-16)\/10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r + 14. Let t(v) = 4*v - 9. Let w(o) = -5*g(o) - 7*t(o). Is w(14) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = p + 221. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 36324535 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**5\/20 + n**4\/3 + 3*n. Let p be y(4). Suppose p*j - 3*j = 291000. What is j rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2. Let j(c) be the second derivative of 1249*c**3\/3 - 3331*c. Calculate z(j(h)).\nAnswer: -12480008*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 + 0*q**4 + q**4 - 1421*q**2 + 3775*q**4 - 3773*q**4 + 181*q**2 + (-3*q**2 + 3*q - 3*q)*(-5*q**2 + 2*q**2 + 2*q**2).\nAnswer: 7*q**4 - 1240*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001948285 rounded to six decimal places?\nAnswer: -0.001948","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 178*a - 4015. What is j(20)?\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -72, 11, 146, 333, 572, 863?\n\"Answer: 26*c**2 + 5*c - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 11 = -3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120570 is divided by 303?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-3 - -4 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(176))**2 + 0 - 4*((2*sqrt(11))**2 + -4))*-6.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3049.589 tonnes?\nAnswer: 3049589000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336)\/(sqrt(36)\/sqrt(3)) - -5*(sqrt(112)\/sqrt(4) + sqrt(28)))\/(sqrt(16)\/(sqrt(196) + sqrt(4)) + sqrt(36)\/sqrt(324)))**2.\nAnswer: 69696\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 59\/4 (b) -4 (c) -3 (d) 0.16 (e) 3 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*b**4*i + 2359*b**4 + 26533*i + 2 with respect to b.\nAnswer: -24*b**3*i + 9436*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -115, -1\/2, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + x - 7 = 0, -3*x - 1 + 4 = 0. Let n(j) = -12*j**3 - 3*j**2 - 4*j + 2. Let k(p) = -p**3 - p. Let t(f) = 5*k(f) - n(f). Is t(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -207, -284, -363, -444?\n\"Answer: -r**2 - 74*r - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1338.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -99, -750, -1845, -3390, -5391?\n\"Answer: -f**3 - 216*f**2 + 4*f + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**6\/72 + u**3 + 6*u. Let p(q) be the second derivative of w(q). Let c(o) = o. Determine c(p(z)).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2008258 - -28.7.\nAnswer: -2008229.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**3 - 8*v**2 + 6*v**2 + 3*v - 8 - v**2. Let g(k) = 0. What is k?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 3*i)*(3 + 0 - 2)*(-2 + 3 + 0) to a + g*i and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01024789 rounded to five dps?\nAnswer: -0.01025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 68 = 10. What is the common denominator of -7\/10 and (-1)\/((-2)\/a*-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5\/3 + 100*g**4 + 10604*g**3\/3 - 16944*g**2 - 132286*g\/3 - 23716 = 0.\nAnswer: -77, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011110110010110101101 (base 2) to base 4.\nAnswer: -123312112231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-4)\/40*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -575.0679+-2577746\nAnswer: -2578321.0679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y + 24*y - 82*y + 24*y + 16*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*f**3 - 61330*f*i + 493*i - 23 with respect to f.\nAnswer: -12*f**2 - 61330*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 46446 to the nearest 1000.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*q + 58 + 76 - 99 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g + t + 244 = 0, -2*t - 128 = g. Is 24 a factor of (1\/(35\/g))\/((-1)\/7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -430 and -13007.\nAnswer: 5593010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 3*b = -b, -5*f - 4*b = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -764140, -764107, -764048, -763963?\nAnswer: -763852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58282 + -58228. Suppose 140 - 44 = 4*h. Calculate the highest common factor of t and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2302131 - -2?\nAnswer: -2302124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*r - 54*r - 1599 = -2347 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 387897*r**2 + 2151*r + 4302. Let t(h) = 721*h**2 + 4*h + 8. Calculate 2151*t(f) - 4*u(f).\nAnswer: -717*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -12, 4*d + 3*u - 724 = -u. Suppose 2*s + 0*i - 180 = -3*i, 4*i = -2*s + d. Let r = s - 51. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 820868 and 1956.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**0)**48\/(r*r**(-2\/11)*r*r\/((r**(-6\/5)\/r)\/r))*(r*r\/((r*r*r**(-2\/3)*r)\/r)*r*r)**(-45)\/(r*r*r**(2\/3))**26 assuming r is positive.\nAnswer: r**(-24313\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 - 69. Let w be 154\/10 - n\/(-5). Solve 4*a = a - w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 7. Is 8 + i + 0 - -1 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 3538579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -714 - 155?\nAnswer: -869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 g when four letters picked without replacement from rprjxgxrrrrggrxgjjp.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 0*m - 13*m + 2*m - 6*m. Let g(p) = 3*p. Give g(y(s)).\nAnswer: -51*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**3 + 2*p**2 + 2*p. Let m be v(-1). Solve m = c + 5*g, -4*c - 2*g - 10 = -4*g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/2 and 9\/53.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 18180?\nAnswer: 236340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1242 times -1\nAnswer: -1242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22829 + -22839.007. Let u = b + 10. What is u rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100221 (base 3) in base 10?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 172017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 124, 151, 206, 289, 400, 539, 706?\n\"Answer: 14*s**2 - 15*s + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9585 and 49061?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-6)*(19 + -22) + 1423?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 34?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gssd when four letters picked without replacement from {s: 2, d: 1, g: 1, x: 10, c: 1, b: 3}.\nAnswer: 1\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -3\/7, -9.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + a = 1, -3*a = -m + 9 + 2. Suppose m*b = 665 - 4915. Let r be 0\/(-7) + 32*b. What is r rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-35)\/70)\/(2\/16) + -1. Put k, -1, 0, 4 in descending order.\nAnswer: 4, 0, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1676\/20 + 1\/5. Suppose 2*c - x = -r - 0, 3*c + 3*r = 132. Suppose -2*i = -4*i - w + c, 0 = i - 5*w - 20. What is the lowest common multiple of i and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16646.6 + 18549. What is a rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 4, 31, 80, 157?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27250879?\nAnswer: 27250879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549348.\nAnswer: 2, 3, 45779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*s**3 + 6*s**2 = 0. What is s?\nAnswer: -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 808 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015998 to 4 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 310.4493 millilitres?\nAnswer: 0.3104493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*p - 3*t - 6, 3*t = -6. Let u be (p - 1)*(-116)\/4. Let j be (-87)\/(-2)*(-4)\/(-6). Calculate the highest common factor of u and j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*m**4 + 2950*m**3 + 37236*m**2 wrt m?\nAnswer: -96*m + 17700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4, 8, 5, -129.36?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 188 - -8b7?\nAnswer: a72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + k - 6*k)*(-3 + 3 + 2) + 0 + 2*k + 0 + (-5 + 2 + 0)*(k - 1 + 1).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19127 - -9501. Let x = -192577\/20 - i. Let m = -692 + 1351\/2. Find the common denominator of x and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 k when two letters picked without replacement from {x: 6, a: 1, g: 2, k: 2, p: 1, i: 3}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -278 - -284. Let x(c) = -3. Let w(r) = -38*r - 11. Let i(h) = s*x(h) + w(h). Differentiate i(l) with respect to l.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 11:03 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2033468836*x**4 + 2033649212*x**3 + 317220958036*x**2 - 28138652*x + 624 = 0.\nAnswer: -12, 1\/22547, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1bd71d (base 16) to base 11\nAnswer: -1036894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3188009*v**3 - 2747351.\nAnswer: 9564027*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j*j**30)\/j*j*j**(-1\/6)*(j**(2\/83))**(3\/16))**(1\/8) assuming j is positive.\nAnswer: j**(65413\/15936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -29) + -47 + (0 + -12 - -82).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, a: 2, h: 1, c: 1, q: 2}. What is prob of picking 1 c and 2 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3811760*v + 2*v**2 - 2 + 3811760*v.\nAnswer: 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 303593 by 4.\nAnswer: 303593\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77 - 65. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 3\/16.\nAnswer: 0, 3\/16, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 32, 127, 308, 599, 1024, 1607, 2372?\nAnswer: 3343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -303*1*(-3)\/9.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3075381*c. Let h(b) = -b. Determine l(h(v)).\nAnswer: -3075381*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, f: 3, b: 1, r: 2, y: 2, a: 7}. Give prob of picking 1 a and 2 r.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbx when three letters picked without replacement from dddxddbxbdd?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + -2 - (-18)\/2. Let d = 13 - n. Calculate the remainder when 1 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5976 divided by -2.\nAnswer: -2988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1010 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-8 + 41))\/((-2)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 380797339 to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 - (1 + 1) - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1351*j = -823*j - 2112. Determine k, given that -6\/11*k**2 + 8\/11 - 2\/11*k**j - 10\/11*k + 10\/11*k**3 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 10*s - 8*s)*(0 - 3 + 2)*(-11*s + 37*s - 63*s).\nAnswer: -148*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-9)*t)\/t**1*t**(1\/4)*t*t\/(t**5\/t)*t*t)**39 assuming t is positive.\nAnswer: t**(-1365\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -16617 - 1\nAnswer: -16618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 236010?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1234*g - 685*g + 1003 - 1003.\nAnswer: 549*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-363)\/33 - (-240)\/22) + 84\/(-44).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*b + 178*b + 2*v = 9, -5*v = -10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*h + (2 + 0 - 1)*(-2 + h + 2) + 5*h - 5 + 5 + (4*h + h - 2*h)*(0 + 1 - 3) + (1 + 5 - 3)*(2*h + h - 2*h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7*j + 197. Determine m(39).\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 + 4 + (6 - 19))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0012 + 0.0702. Let n = -2.2466 - h. Let u = n - -2.3. Round u to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*c**5 - 17 + 203 + 26 + c**3 + c**2 + 0*c**2 + 11 wrt c.\nAnswer: 600*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 + 26 - 2*i**2 - 2*i + i**2 to d*i + c + o*i**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255043415.\nAnswer: 5, 11, 839, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1796629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 11.991. Let m = 0.03 + j. What is m rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316*f - 1421 = 36*f + 3339. Let b(n) = 3*n**3 - 4*n**2 + n - 3. Let d be b(4). Suppose d = 2*c - 3. Calculate the remainder when c is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41703323 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: Work out -0.5 * 10286405.\nAnswer: -5143202.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20, 23, 26, 29?\n\"Answer: 3*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 276 and 15042?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24925?\nAnswer: 5, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6 = -2*j, 0 = 5*k - 2*j + 5*j - 19. Solve g - 20 = k*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4879*x + 101718 = 42*x - 218*x - 147541 for x.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + 24. Let l be (-4)\/q - 136\/(-36). Suppose -4*o = -0*o + l. Let y(n) = -1. Let p(v) = v**2 - v - 5. Calculate o*p(g) + 5*y(g).\nAnswer: -g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/316 and 97\/12.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 - 5*c - 33. Suppose s + 17 = 3*z, 4*z - 19 = -s + 2*s. Let k be j(s). What is the greatest common factor of k and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 2055.\nAnswer: 6165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 0*u**3 + 5\/24*u**4 + 0*u + 0 + 1\/210*u**7 - 4*u**2 + 0*u**5 + 0*u**6. Find the second derivative of g(b) wrt b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 + 7*v + 8. Calculate k(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 + (-5)\/((-200)\/51248)*5 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - 117676671 + 117676671.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 584237 (base 9) to base 14\nAnswer: 91c05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-83 - 121 - 176)*(4 + 2 - 7)*(-2*h + 6*h - 2*h) in the form n + f*h and give f.\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -155, -229, -301, -371, -439, -505?\nAnswer: -569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -260, -1020, -2286, -4058, -6336?\nAnswer: -9120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6*g + 20 = 0. Suppose 2*o - 6 = 0, -p + 3*o = g*o - 2. Let j = 6 + p. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6280 or 6269?\nAnswer: 6269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56410252.\nAnswer: 2, 457, 30859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in years?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.74 - 0.74. Sort 0.6, -1, -2\/19, o in decreasing order.\nAnswer: o, 0.6, -2\/19, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -299.23 to the nearest ten.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -161\/1634468 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 584383979 to the power of 1\/2, to the nearest integer?\nAnswer: 24174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, j: 6, a: 1, k: 3, l: 1}. What is prob of sequence jkkl?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8062779997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*g = -7*g - 81, -12 = 4*g. Suppose 9 = z - 0*m + 2*m, -4*m + d = 5*z. Let b = z + 3. Solve 2*p - b = 6*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than 218.191?\nAnswer: 215.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 7*p - 31. Solve p*k = -5 - 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2250 by 375.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5076 or 5085?\nAnswer: 5085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -1, 2, 10 in decreasing order.\nAnswer: 10, 2, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 28f87 (base 16) to base 4\nAnswer: 220332013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9579?\nAnswer: 3, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -c05c70 (base 13) in base 10?\nAnswer: -4468620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*q - 163 + 17 = 0, q + 4 = 0. What is the greatest common divisor of 1323 and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 + 31*f + 536. Give d(-13).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1294, -1, 0, 5 in descending order.\nAnswer: 5, 0, -1, -1294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**1)**(-3\/38))**(-3\/4))**(-1\/2))**(-43) assuming b is positive.\nAnswer: b**(387\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 9:02 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 + -0.6. Let d = 0.1 - 1.3. Let n = d + g. What is the second biggest value in 5\/3, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.0305 - -0.9605. Which is the closest to r? (a) -0.4 (b) 1\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25757.07 - 26015. Let w = 256 + x. Let h = w - -0.93. What is the closest to -1\/6 in -4\/3, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*132795179\nAnswer: -13279517.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from {k: 2, w: 9, q: 7, c: 1}.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12864 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 15. Suppose v = -3*g + z - 0, 0 = -3*g + 2*v + 6. Let q(i) = 4*i**2 - i + 5. Is q(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 90.07 * -0.05871.\nAnswer: -5.2880097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -d, -387*y + 391*y - 5*d = -47 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1979787 and 3699.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 36*q + 180.\nAnswer: (q + 6)*(q + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 37 + 13 = 0. Sort -3, -2, f.\nAnswer: -3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/9, -8, 0.17?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h + 23. Let q(c) = -c + 1. What is -g(n) - 5*q(n)?\nAnswer: -n - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/4 of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -60*g - 7. Let k(d) = -61*d - 5. Let i(x) = 4*k(x) - 3*l(x). What are the prime factors of i(-2)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-22))**(13\/4)\/(u\/u**18)**30 assuming u is positive.\nAnswer: u**(2339\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 899.9714*-0.5.\nAnswer: -449.9857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 3, 10.029, -0.04?\nAnswer: 10.029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 3*c - 2*c)*(43*c + 20*c + 45*c) + 6*c**2 - 4*c**2 + 0*c**2 - 3*c**2 + 5*c**2 - 4*c**2.\nAnswer: -216*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4)*((-48)\/(-10))\/((-6)\/6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/(-140) - 658426\/(-1330)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, u: 4, s: 6}. Give prob of picking 2 u and 1 s.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.973458ng to kilograms.\nAnswer: 0.000000000009973458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 3*s - 27 = 0, -5*s + 3 = -3*q - 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/6)\/(6\/(-99)). Let t(g) be the first derivative of -g - 2. Let c(j) = -j - 11. Let u(b) = r*t(b) - 2*c(b). Let v(l) = l. Determine v(u(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x - 3*x**3 + 7*x**3 - 2*x**3 + x**2 - 3*x to the form u*x + r*x**3 + g + t*x**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -158a4b?\nAnswer: -158a4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 5 - (-11 + 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a + 2*a + a + 4*a + 5*a - 5*a + 3 - 3 - a + (2 + 1 - 5)*(-a + a + a) - 5*a + 4*a + 3*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 1:41 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdq when three letters picked without replacement from {h: 3, j: 4, d: 2, q: 1, b: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4959843147?\nAnswer: 3, 7, 78727669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 21364, 1\/6, 0.28 in decreasing order.\nAnswer: 21364, 0.28, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0 = 4. Factor 3*x**4 - 4*x**j - 2*x + 2*x + 7*x**2 + 6*x**3.\nAnswer: 3*x**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -478*k - 20104. Give v(-42).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2016 - 1437. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11341\/3 + -3930. Let h = 2699\/18 + m. Find the common denominator of h and -91\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/270 and -11\/180.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2 - 2*c + 17. Let x(t) be the first derivative of 2*t**3\/3 - t**2\/2 + 6*t - 1. Let i(k) = 3*n(k) - 8*x(k). Determine i(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 8*g**2 - 8*g + 7. Let a be c(7). Suppose -3*h + 21 = 3*p, 3*p - 9 + 0 = a. What is the remainder when 13 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(120)*-2)\/sqrt(8))\/(sqrt(10)\/(6*sqrt(2)*3)).\nAnswer: 180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 25*i**3 + 9*i**2 - 5*i - 3. Let d(s) = s + 10. Let k be d(-6). Is l(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4 + 4*f - 23*f**2 - 7*f - 18*f - 48*f**2 wrt f.\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/14*105\/70.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 16*w + 1. Suppose 4*g - 50 = 142. Suppose 0 = -2*y + 5*y - 9, 3*s = 5*y - g. Let v(r) = 3*r. Suppose 11 = 5*q + 1. Give q*k(u) + s*v(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363817*p + 2703579*p + 125683*p.\nAnswer: 3193079*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.9354 + -2\nAnswer: -1.0646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2330972698.0496 take away -4?\nAnswer: 2330972702.0496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*t - 113. Let d be (1 + -1 + t)*-11. Suppose r + 1657 = -d. Round r to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -2*w - 7, 3 = 5*y + 44980*w - 44983*w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(10)*-2)\/sqrt(5) - (sqrt(2) - (sqrt(200)*-1 + sqrt(2))))**2)*-3.\nAnswer: -852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -2, 3, 11, -7, 5, -20 in increasing order.\nAnswer: -38, -20, -7, -2, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*i - 126, -3*i = i - l - 231. Let c = 15 + i. What is the highest common factor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(68)\/sqrt(2))\/sqrt(2))**2 - (sqrt(612) - sqrt(17))**2*-1)*-4*3.\nAnswer: -5303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10464852?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6698.8 rounded to the nearest ten?\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 858 - 857.94948. Let d = -0.05 + s. Round d to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 323 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*w = 2. Let k(y) = y - 9. What is the smallest common multiple of k(16) and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2208, 2195, 2178, 2157, 2132, 2103, 2070?\nAnswer: 2033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, l: 2, e: 1, s: 1, w: 2}. Give prob of sequence ls.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, d: 1, n: 5, y: 1, m: 1}. Give prob of picking 2 n.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2502 + 3548. List the prime factors of y.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -256\/961?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 154 = -5*j, 0 = -2*j + 2*t + 45 + 23. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7*v**3 - 36*v - 36*v + 7 + 64*v. List the prime factors of y(3).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**5 + 756*p**4 - 17592*p**3 + 10768*p**2 + 143520*p - 201600 = 0. Calculate p.\nAnswer: -210, -3, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1512 - 28 = 14*p. Solve p = 3*w + 100 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1488?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - -0.1. Let o be 0 - (296\/(-20) + 0). Let c = o + -15. What is the biggest value in m, c, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/13)\/z**(4\/3))**(20\/9)*z\/(z\/(z*z**(3\/8)))*z*z**7*z**(4\/7)\/(z\/z**(2\/21)) assuming z is positive.\nAnswer: z**(16109\/2808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 443 - 443 + 2*f + 107*f**2 to s*f + w*f**2 + u and give w.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**4\/3 + 524*s**3\/3 + 7123*s**2\/3 - 2900*s - 5100 = 0?\nAnswer: -510, -15, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 205431 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1665 and 360.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 49, 200, 449, 796, 1241?\n\"Answer: 49*h**2 + 4*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -821058 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16\/(-12))\/(2\/(-30)). Suppose 17*l - c*l + 12 = 0. Let h(k) = 3*k - 4 + 4 - k**2. Calculate h(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 8753175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(13\/4))\/(y*y\/y**(-7)) assuming y is positive.\nAnswer: y**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 6*g - 3. Let p be u(6). Let z = 2.488 - 0.488. Which is the closest to z? (a) -3\/5 (b) 0.6 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*s + 47*s = 884*s - 60*s + 11396 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356862424?\nAnswer: 2, 277, 161039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/110)\/(-1)*2224\/556\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1117?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -57656 (b) 2\/11 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000100010001 (base 2) to base 3.\nAnswer: -102121112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2 - 1. Let n(q) = q**2 + 1. Let k(r) = n(r) + w(r). Let u(p) = 3*p**2 - p - 2*p + 3*p. What is u(k(f))?\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -10856.48 to the nearest 100.\nAnswer: -10900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 4*u = -4, 22*p - 76 = 3*p - 5*u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -6*(-9)\/36.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzzq when four letters picked without replacement from {z: 5, v: 6, q: 4}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 6*y + 14. Suppose y = -8*a - 1597106 + 7677106. What is a rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-3)\/(-1)*(-688)\/3096\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(2 + 34\/(-16)). Let w be ((405\/180)\/(2\/176))\/(2 + 0). Let s = z + w. What are the prime factors of s?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 45.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3532833 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4*(-1 + sqrt(171)) - ((2 + sqrt(304))*-1 + 1))**2.\nAnswer: -160*sqrt(19) + 4889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31844770 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112 - 106. Let d = 410.9 + -411. Which is the third biggest value? (a) u (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 2)*(-m + 0*m + 3*m + (2*m + 3 - 3)*(-3 + 1 + 3) + (-2 + 2 - 2*m)*(-2 + 2 - 1) + 0 + 0 + 2*m + 21*m - 29*m - 16*m).\nAnswer: -48*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13376, 13386, 13410, 13454, 13524?\nAnswer: 13626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133201 (base 4) to base 14.\nAnswer: a41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93 - 190 + 20352460*b**2 + 97 - 20352465*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -76472*16\nAnswer: -1223552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -1\/6, -0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + -23. Let u = y - -42.06. Let z = 0.36 - u. Sort 1\/4, z, 0.4, 0.\nAnswer: 0, 1\/4, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1100)*2)**2.\nAnswer: -200*sqrt(11) + 4425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 0*h + 4 - 2*h.\nAnswer: -2*h - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 - 29. Is (0 + o\/(-15))\/(2\/(-1173)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 10276676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 4*l - 5656, -4527 = -4*c + 3*l - 4*l. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 9\/2)*(-3)\/(-10)*50840\/106764?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 - 61. What is the least common multiple of 9 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 6*f + 7. Let m be j(5). Suppose -5*b - 2*s = -875, -b + 541 = 2*b - m*s. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*2*6 + sqrt(12) + 3 + 3 + -6*(sqrt(3) - sqrt(1470)\/sqrt(10)) + -5)**2 + 4.\nAnswer: 100*sqrt(3) + 7505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 1) + (-4 - -5). Let z = i - -2. Let m = z + -3. Let y(c) = c. Give y(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 51*c**2 - 2646*c + 15974. Determine k(6).\nAnswer: 1934","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 10 = 3*i. Calculate the smallest common multiple of i and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 4845*v = 4851*v + 144, f - 16 = -0*v + v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 517 - -288. Suppose 2*v + t - p = 2*t, -2*v + 4*t + 820 = 0. Suppose 3*w - v = -2*n, -w - 2*w + 606 = 3*n. Is 46 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3 + 440654*i**2 - 1321948*i + 881296 = 0?\nAnswer: 1, 2, 220324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6547005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/36320 and 59\/12712.\nAnswer: 254240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 2:46 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 1\/6*n**4 + 7\/2*n**2 + 12 - 3\/4*n**5 + 0*n**3 - n. Find the third derivative of r(k) wrt k.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 302 - 30?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 5 + -1 + -41 + 34?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1662328, 1662326, 1662324, 1662322, 1662320?\n\"Answer: -2*o + 1662330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*u + 2*u. Let s(i) = i**2 - 4*i - 1. Let a be s(u). Suppose 19*w - 9*w - 120 = 0. Is w > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 1\/5, -2, 5, 1\/76?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31116.14 centuries in millennia?\nAnswer: 3111.614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 30 (b) 206 (c) -612 (d) -6 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -19. Let l = -1337 + 1336. Sort f, 1, l in increasing order.\nAnswer: l, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1) + (4 - 1) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1927287*m - 1580687.\nAnswer: -1927287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 19, 43, 87, 157, 259, 399?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a - 46423 - 33387 = 0. What is a rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57524 divided by -788?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*g = -90*g + 10. Suppose 5*u = -2*d + 518, 3*u - 313 = g*d - 4*d. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*j - 129 = 87. Solve 13 - 10 = -j*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*o + 10. Suppose -3*b - 2*q - 121 + 24 = 0, 4 = -b + o*q. Let s = b - -50. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**3 - 4*i**2 + 8*i - 7. Let l be j(3). Suppose -l*q = -33*q - 402. List the prime factors of q.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -23.5 (c) 0.9 (d) 34\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 10, 4*x - 4*j = -2*j - 18. Let a = x - -35. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -12 + 4. Suppose 0 = -5*l + 2*f + 2919, -s*l + 3*f + 1628 = -710. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 3859826?\nAnswer: 1157947.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 218316600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*r + 11*r**2 - 6*r**2 + 2*r**2 - 4*r**2 - 6*r**2 to v*r**2 + o + l*r and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -3, 569, 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 873922 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -2201?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5 = 3. Suppose 5*s - r - 4 - 219 = 0, 0 = u*s + 3*r - 167. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 8 = 4*u, 4*u + 4 = -r + 4*r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -737540 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 - -0.11. Are j and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -152 - 13. Let g(m) = 17 + 2*m + 18 - a. Let u(x) = 3*x + x - x + 3. Calculate 7*g(i) - 5*u(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - 7\/(14\/(-6)). Let y(q) = -m - 6 - 19*q + 35*q - 34*q. List the prime factors of y(-7).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 16, w: 1, g: 1, d: 1, n: 1}. Give prob of sequence nss.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**4\/24 - l**2. Let f(r) = r + 18. Let b(k) = -6. Let p(o) = 6*b(o) + 2*f(o). Give h(p(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -21461\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*a + 180 = -72*a. Solve 0 = 3*m - 2*u + 2, -5*m - 2*u + 0 = a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 628986112 a multiple of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1443283, -1443291, -1443299?\nAnswer: -1443307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 8 - 3 = 3*r, 4*r - 20 = 0. Calculate the remainder when (-1 + 1 + f)*(-1 - 1) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -140 + 258. Let i = 358 - m. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10520\/1400 + 2834\/(-763)?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 15 = -3*i, 0*r - 20 = 4*r. Suppose i = -4*v + 2*v - 2. Is 2\/13 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -16 - (4 + -3 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*c = -18 - 9, -4*a + 5*c - 15 = 0. Put 1\/9, a, 3\/17 in decreasing order.\nAnswer: 3\/17, 1\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -14 - (19 + -13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1031*d**3 - d**2 + 62*d - 172. Is h(3) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5026486, 10052986, 15079498, 20106022, 25132558, 30159106?\nAnswer: 35185666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 45*y**2 - 753*y - 54. Calculate g(58).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 535 and 815.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8, 42, -10 in decreasing order.\nAnswer: 42, 8, 4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.7 + -1. Let k = a - 0.3. Which is greater: k or -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 9) to base 12.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -130 - -132. Let b(r) be the third derivative of -1\/60*r**6 + 0*r + 0 + 0*r**5 + 0*r**3 + 2*r**o - 1\/105*r**7 + 0*r**4. Factor b(u).\nAnswer: -2*u**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37341 - -53942. List the prime factors of y.\nAnswer: 13, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3 = -0*v. Let f(s) = -s**3 - 34*s**2 + 30*s + 1038. Calculate the lowest common multiple of f(-34) and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (17 - (-90)\/(-15)) + -12. Let m(h) = -5*h**2 - 5*h + 2. Calculate m(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93765 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576 = -8*f - 8*f. Let t(j) = j**3 + 16*j**2 - 36*j + 4. What is the lowest common multiple of f and t(-18)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*r + 164 = -7*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**8\/1176 + z**7\/735 + 3*z**6\/140 - 13*z**5\/210 - 2*z**4\/21 + 4*z**3\/7 + 210*z**2. Solve p(a) = 0 for a.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 - 22*t**2 - t - 2. Give r(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -8*l + 3. Let c(v) = -43*v + 101*v - 43*v - 5. Give -3*c(a) - 5*j(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 0 - -1) + 83. Suppose 0 = 5*y - 20, -2*d + y = -3*y - c. Let n be (-2)\/(-5) - d\/(-30). Solve -x = 2, -2*j + 8 = -3*j - n*x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103617.\nAnswer: 3, 29, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 544660, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 294 divide 114911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86081 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42240 is divided by 95?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 2 - 1 - -5. Let u = 7 + -6. What is the units digit of ((-224)\/(-42))\/(u\/h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*o + 8981 = 176*o. What are the prime factors of o?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 11*h - 8. Let u be a(10). Suppose -u*t - 17 = -p - 2, 5*p = -5*t + 45. Solve p = -4*g - 9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 - 46)*(p**3 + p**3 - 15*p + 16*p)*(2*p**2 + p - p).\nAnswer: -156*p**5 - 78*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 7 = -18*x. Solve -7*j = -x*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 13*z + 6. Let d(v) = -11*v - 5. Let j(t) = -6*d(t) - 5*q(t). Let n(m) = -1. Let i(k) = 2*k + 2. Let w(r) = -6*i(r) - 12*n(r). Determine w(j(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2 + 1. Let s be 3 + (-2)\/(-3)*m. Is 1 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 4*g**2 + 5*g. Let k be (-1)\/(1\/(-3)) - -1. Let o be l(k). Suppose o = 5*h - 0*h. What is the greatest common divisor of h and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oid when three letters picked without replacement from wdwlwwiwwwowwolwlwww?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21292876?\nAnswer: 2, 11, 483929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o**2 + 26*o + 4. Let l(h) = h**2 + h + 1. Determine -5*l(b) + t(b).\nAnswer: b**2 + 21*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -2. Let l = -26\/3 - -128\/15. Which is the smallest value? (a) z (b) l (c) -3 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-24)\/(-36) - 29\/9)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/70)\/((-3)\/6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -9*f - 1. Let t be l(3). Suppose 3*v = 2*s + 22, -2*s - 3*v = -0*s + 34. Let h = s - t. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from {q: 2, a: 1, l: 1, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**2*r**4 + 3*i**2*r + 41*i**2 + 2*i*r - 5*i - 32737*r**5 + r wrt r?\nAnswer: -12*i**2*r**2 - 654740*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 314692\/9 or 34965?\nAnswer: 34965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5652.084ml?\nAnswer: 5.652084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/6390 and 9\/25?\nAnswer: 31950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 9:24 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14*(-3)\/6)\/(14008\/(-154088))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 12*p**2 + p + 1. Let s be q(-2). Suppose 0 = 2*z - 2*y - 102, -5*y - s = -z - 2*y. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, c: 1, z: 11, k: 1}. What is prob of picking 1 z, 1 c, and 2 p?\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 10 (b) 1\/10 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/20 and -41\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 120 = 23. Let a(q) = -11*q - 13. Let c(y) = -5*y - 6. Let o(p) = w*c(p) - 6*a(p). Let r(u) = -93*u**2. Give r(o(n)).\nAnswer: -93*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2788 and 1695596.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3991 - -1618?\nAnswer: -2374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -320 and 2?\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, n: 8, p: 3, e: 2}. Give prob of picking 2 e and 1 i.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**2 + p - 38. Let i(l) = l**2 - 1. Calculate -5*i(k) - q(k).\nAnswer: -k**2 - k + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 170, 339, 508, 677, 846, 1015?\n\"Answer: 169*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v - 110*v**2 + 9*v + 2 + 112*v**2. Calculate m(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 divided by -25.\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + x - 1. Let a(d) = -22 + 4*d**3 + 2*d + 28 - d**2 - 2*d - 6*d. What is a(z) + 6*c(z)?\nAnswer: -2*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 373443978\/(-11390)*5\/90. Let k = -4\/17085 - h. Let x = 1775 - k. Find the common denominator of x and 37\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 3*m**4\/8 - 7*m**3\/6 + 28*m**2. Suppose -w - 23 = -5*c + 3*w, -3*c = -5*w - 19. What is the units digit of u(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -602 - -607. Let f(i) be the third derivative of 3*i**2 + 1\/45*i**m + 0 - 1\/630*i**7 + 0*i + 0*i**6 + 0*i**3 + 0*i**4. Solve f(p) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(7488) - (sqrt(7488) + 3))*6*3*-6 + 5)*-1)**2.\nAnswer: 107584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7981, -8540, -9099, -9658, -10217?\n\"Answer: -559*b - 7422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.1 + -2.1. Let g(f) = f**3 - 6*f**2 + 1. Let k be g(6). Which is the closest to o? (a) -4 (b) k (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(117)*-6 - sqrt(117)) + sqrt(117)*1*-6)\/(sqrt(1089) - (-1*sqrt(1089) - sqrt(1089))*-3 - (1*(sqrt(1089) + 1*sqrt(1089)) + sqrt(1089))).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -339, -4, -5, 5 in descending order.\nAnswer: 5, 0, -4, -5, -339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*f - 25, -3*r + 4*f + 0*f = -115. Let s = -14 - -18. Suppose s*z - 23 = r. What is the remainder when 40 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1613360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2 - 9795948*y + 29387862 = 0. What is y?\nAnswer: -4897977, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/7 - 4*r**2\/7 + 730*r\/7 - 204.\nAnswer: -2*(r - 17)*(r - 2)*(r + 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9000, 71978, 242896, 575718, 1124408, 1942930, 3085248?\nAnswer: 4605326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 19*g - 8. Calculate the lowest common multiple of x(-20) and 42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 1 + g**2 + g - g**2 + g**2. Let m = 36 - 33. Suppose m*t + 2*t = 0. Calculate h(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4929?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*i**5 + 505888*i**2 - 15068*i + 6.\nAnswer: -100*i**3 + 1011776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (0 + sqrt(343) + (-1 + sqrt(343) - sqrt(343)) + 2 - 2*-5*sqrt(343)*2) + 3)**2.\nAnswer: 2646*sqrt(7) + 151344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 12*m**2 + 154*m + 281. Does 59 divide k(-52)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 divided by 6?\nAnswer: 211\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/19))**(8\/5)\/(y**(-3\/2)*y)**17 assuming y is positive.\nAnswer: y**(1679\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5 + -2 - (0 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11976957.02 rounded to the nearest 100?\nAnswer: 11977000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (94\/(-12) - 91\/(-13)) - 6. Which is the third biggest value? (a) -4 (b) 0.04 (c) -2\/7 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6773 (base 11) to base 7\nAnswer: 34662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q. Let v = 133\/27 - 5. Which is greater: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 121, 18931, 4 in increasing order.\nAnswer: -4, 4, 121, 18931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.23 * -7.05199.\nAnswer: 1.6219577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 14. Suppose -2*t = 2*h - b, t + 0*h - 17 = -5*h. Let k be t*(2\/4 + 1). Solve -2*s = 4*o + 18, 2*o - k*o - 9 = 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/3 - 312073*k**2 + 5617283*k\/3 - 1560355.\nAnswer: (k - 936213)*(k - 5)*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 82. Let u = -40.2 + k. Let g = -84.1 - -84. Which is smaller: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 12:46 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10*x + 85. Give y(-19).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/5 + (-39 - 10). Let z = 50 + r. Suppose 0 - 2\/5*t**2 + z*t = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -369.\nAnswer: 7.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330071 is divided by 2729?\nAnswer: 2591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 427124\/93 - 13778\/3. Calculate the common denominator of 58\/287 and q.\nAnswer: 8897","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3889528*c = 3889498*c + 1050 for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6925 - 19955 = -420*v for v.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -30. Suppose q - u = 2. Solve -5*m = -4*a, q*a - 29 = -4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6*g - 2. Suppose -5*n + 35 - 8 = -4*z, -2*n - 9*z - 21 = 0. Let w(f) = 5*f - 1. Calculate n*d(j) - 4*w(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7503365.\nAnswer: 5, 859, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - z - 1. Let t(h) = 3. Let k(w) = -d(w) - t(w). Let x be k(2). Suppose -x*y + 102 = 42. Solve b = -2*b - y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -3161?\nAnswer: -3153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1108*u**4 + 2 + 7*u**2 - 13*u**2 - 5*u**2 - 20*u**2 - 1200*u**4 to z*u**3 + x*u + c*u**2 + s + i*u**4 and give i.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7511682 and 52?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -617. Let z = b + 607. Put -1, -98, z in increasing order.\nAnswer: -98, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/23579 and 119\/190.\nAnswer: 235790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l - 10. Let c be q(4). Solve 2*d = 2*s + c, s + 3*d = 6*s + 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - 2 - (2 - 1). Let k be 53\/u + 1\/2. Calculate the highest common factor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 + 15*c**2 - 13*c**2 + 2*c**3 - 2*c**2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3, 29, 105, 243, 461?\n\"Answer: 3*c**3 + 4*c**2 - c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -29. What is the remainder when 15 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d - 14*d**2 - 77*d**2 + 64*d.\nAnswer: -91*d**2 + 57*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5 = 5*w, w - 4*g = -2*g. Let h be (-26)\/(-7) + 4\/14. Suppose -5*k - w*t + 2512 = 543, h*k = 2*t + 1586. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1768177 - 2186807. Let o = 1564984 + k. Round o to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -83978, -167931, -251880, -335825, -419766, -503703, -587636?\n\"Answer: 2*w**2 - 83959*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 5:22 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 5*z - 33 = 0, 112*z + 20 = -4*m + 116*z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-2) - (-26 + 28). Let h = -4 - -4. Suppose -4*q - b*g + h*g + 94 = 0, q = -5*g + 15. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*m - 21*m - 3, 3*m = -4*s + 3773. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -65*s**3 + 13*s - 13. Let l(p) = 16*p**3 - 3*p + 3. Give 3*b(x) + 13*l(x).\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 0)\/(-5 - -7). Suppose x = 2*l - l - 4. Sort -3\/2, 0, l in decreasing order.\nAnswer: l, 0, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -15*q + 141. Let a be w(9). Let n(h) = 20*h**2 - 61*h + 9. Let u be n(a). Calculate the highest common divisor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -395, 261, 1351, 2875, 4833, 7225, 10051?\n\"Answer: 217*h**2 + 5*h - 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 216 = -785. Let h = -78 - k. What is the remainder when h is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66 + -50. Suppose -q = -7*g - 2. Solve 2*s - 2*o = 8, s = 2*s - g*o - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194, 181, 152, 101, 22, -91?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -809, 2\/7.\nAnswer: -809, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 - 8*y - 9. Calculate r(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2505958 is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2 - 86*a + 242. What is y(-31)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*n - 177*n - 36*n = -79*n - 17384 for n.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a - f + 46 = 0, -5*a + 13*f + 9 + 13 = 10*f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 0*d + 0*d)*(5*d - 2*d - 4*d) - 272*d + 541*d - 54*d**2 - 269*d.\nAnswer: -55*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 4:56 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/7 + 40966*y**2\/7 - 81938*y\/7 + 40970\/7.\nAnswer: 2*(y - 1)**2*(y + 20485)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p - p)*(1 - 2 + 0) + 5*p + 4 - 4 + (2*p - p - 2*p)*(1 - 4 + 1).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t**3 - 6*t**2 + 12. Let o(g) = -4*g**3 + 6*g**2 - 13. Let q(l) = -3*o(l) - 2*u(l). What is the remainder when q(4) is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 11645*b + 820056. What is x(-70)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/18)\/((-4)\/6). Let r = 3790 + -3789.93. What is the nearest to r in i, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 18*g + 2. Let z = 32 + -22. Suppose -3*n + 90 = 3*s, s - z = 6*n - 2*n. Calculate the remainder when i(4) is divided by s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6722*q**2 - 667 wrt q?\nAnswer: 13444*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-70)\/(-7) + -9. Let c be 6\/9 - (-4)\/3. Suppose 4*x + 10 + 16 = r*n, -2*n - c*x = -26. Calculate the remainder when n is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17752 + -17672. Sort -4, 1, 6, p.\nAnswer: -4, 1, 6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2769, -2756, -2741, -2724, -2705, -2684, -2661?\n\"Answer: u**2 + 10*u - 2780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224332 = 27*i + 7*i. List the prime factors of i.\nAnswer: 2, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*g**3 - 23*g**3 + 45*g**3 - 13*g**3.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 125, 222, 319?\n\"Answer: 97*g + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -13*s**3\/6 + 51*s**2\/2 + 4*s + 48. Calculate u(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -308, -608, -988, -1442, -1964, -2548, -3188?\nAnswer: -3878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -0.3, -2.06, -3, -4\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -54*m + 56*m. Calculate the remainder when m is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2170 and 655.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -163693\nAnswer: 163693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 88479 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12412384 is divided by 3148?\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -188 + 183. What is the third smallest value in h, -6, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5 - 9\/5*h + 3\/5*h**3 + 0*h**2.\nAnswer: 3*(h - 2)*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1568346779 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 415 = -2585. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*p = 30*p - 192080. What is p rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-24))\/(30\/8*24\/(-432)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/5 + -1\/20. Let j = 2.4 + -5.4. Let n = j + 2.5. What is the nearest to 0 in 2, n, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -12*o + 4. Let r be k(-5). Let v = 109 - r. Suppose -2*d = -v - 85. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/(-4) + 2\/8. Suppose -h = -5*h - 5*d + 6, 5*h = 4*d - 13. Let r be (-6)\/(h\/2 - 1). Put 2\/9, r, g in decreasing order.\nAnswer: r, 2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6292 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + m = -0*m - 14, 3*m - 12 = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k = 15. Let v be 32\/k*(-9)\/6. Solve 4*n + v = 4*w, -3*w - 2*n + 0 = -2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 16*v**2 + v - 25. Let j(y) = -2*y**2 - 5. Calculate 3*h(b) - 15*j(b).\nAnswer: 78*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 14227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2129, -145, -1, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**5\/2 - 309*q**4 - 4394*q**3 - 18924*q**2 - 22752*q = 0.\nAnswer: -6, -2, 0, 632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116328 and 61701.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/4 of a decade in months?\nAnswer: 2610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5874\/151 - 21168899\/543600. Find the common denominator of 71\/12 and u.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-11\/7)\/(a**(-4)*a))\/(a**(-3\/7)\/(a\/a**(5\/4))))**(1\/10) assuming a is positive.\nAnswer: a**(9\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9840*y - 4532 wrt y.\nAnswer: 9840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 408 in 4, -0.2, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 14) in base 3?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18548\/3 in -4, 2, 0.3, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(18 + 3) - 1. Let q be (-114)\/(-22) + 4\/a. Suppose 4*m - 41 = 3*s, 2*m + 3 = q*s + 20. Calculate the remainder when m is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/19)*j*j)\/j**5)\/(j\/(j\/j**(6\/5)*j)*j**(-15)) assuming j is positive.\nAnswer: j**(1131\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.65 + 1.643. Is -2 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**3 - 5*k + 4. Let y be v(2). Let j = y + -16. Let c be (3 - j)*2 - -3. Calculate the greatest common divisor of 40 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7363095394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdqj when four letters picked without replacement from {r: 1, q: 1, j: 2, d: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 6098528.305 to the nearest one hundred.\nAnswer: 6098500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 4*o + 0*o)*(o - o - 2*o + (o - 2*o - 3*o)*(-1 + 0 + 5) + 3 - 3 + o + 5*o - 4*o + 3*o).\nAnswer: 26*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (-11)\/(33\/18))\/2. Factor -4\/5*l**2 + 0 + 4\/5*l**r + 2\/5*l + 0*l**3 - 2\/5*l**5.\nAnswer: -2*l*(l - 1)**3*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/3)*r*r\/(r*r**9))\/(r\/r**(-3)*r**(-1\/6)) assuming r is positive.\nAnswer: r**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18944, 35794, 52644, 69494?\n\"Answer: 16850*c + 2094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 15*t + 31. Let x be l(17). Let f be (-27)\/(-18)*16\/x. Let m(a) = -a**2 - 8*a + 8. Calculate m(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**4 - 4*t**4 + 2*t**4 + (5*t - 2*t - 5*t)*(t**2 - t**2 - t**3) + t**4 + 2*t**4 - 5*t**4 + (-3*t - t + 5*t)*(3*t**3 + 3*t**3 - 2*t**3).\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-21) - (-11024)\/1092. Solve 0 = -l*q + 11*q - 9 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17139?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 8*w. Let q be c(8). Suppose g - 3 = -q. Suppose 260 = m + g*m. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 4:48 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16097952?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.382 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.1 - -9. Let s = 0 - o. Let f be -1*2 - 18\/(-8). Which is the nearest to s? (a) 0.2 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 5*x**2 - 9*x - 8. Let t = -1409 - -1414. Calculate the smallest common multiple of t and i(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30.49 + 25.49. Which is the third biggest value? (a) -2\/3 (b) -3 (c) -1\/13 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/2 - 16*y**3 - 107*y**2\/2 + 70*y.\nAnswer: -y*(y - 1)*(y + 5)*(y + 28)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9548698 and -3585?\nAnswer: 9545113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 + 52 = 3*v - 218*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -14, 1, 48?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.798*9.7.\nAnswer: -17.4406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4*c = -52, 37*k + 30*k - 224 = 68*k + 64*c for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 877 + 871 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -60\/59?\nAnswer: -60\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1558\/9 or 2?\nAnswer: -1558\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6666412\/123 - 54199. Calculate the common denominator of o and (-1 + 72)*(-7)\/21.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(-25))**0 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6849100 rounded to the nearest 100000?\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.93 + 555.93. Which is smaller: -0.1 or t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.303 + -24. Let c = -20.403 + g. Let x = c - 6. What is x rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 8 = -11*c + 6*c, -3*c + 2 = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208953 divided by -69651.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1053)*1*-1 + sqrt(1053) + 2*(sqrt(1053) + 1*sqrt(1053)))**2*-2*2.\nAnswer: -67387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m + 1. Let n be s(-1). Let b be ((-66)\/15)\/(n\/15). Find the second derivative of 4*x**3 - 2 + 2 + b*x**3 - 8*x wrt x.\nAnswer: 90*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3614 - (0 + 2 - 2). Let v = a + 21731\/6. Calculate the common denominator of 46\/3 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85839 >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -51*a - 1177. Let s be i(-23). What is the fourth smallest value in s, 0.1, -0.5, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 2\/17, 0.01, -3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -10326 in descending order.\nAnswer: 3, 1, -10326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 1.2. Let l = -0.17 - -0.27. Which is the smallest value? (a) l (b) -4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -113684.\nAnswer: 34105.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -11504*p + 138053. Calculate v(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 136213\/16 + -8509. What is the common denominator of -83\/4 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 381 - 15. What are the prime factors of r?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261 = -4*s + o, 10*s + 60*o - 56*o + 646 = 0 for s.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in sixty-four fifths of a meter?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -346 - -349. Solve s*k = -2 - 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-8)\/5 + (-84)\/(-490)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.2 + -5.4. What is the fourth smallest value in 5, -0.5, -3, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40516466, 13, 5 in ascending order.\nAnswer: -40516466, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 1. Let h(v) = -4*v**2 + 5. Let d(t) = 3*h(t) + 15*p(t). Let j(a) be the second derivative of 0*a**2 - 1\/6*a**3 + 2*a + 0. Give d(j(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 642721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/293 or 21184?\nAnswer: 21184","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 31. Is 3 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrvrrrrr. Give prob of sequence rrr.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 272 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 115 = 5*b. Suppose 4*a - 3*a = -5*s + 16, s + 3*a = -8. Suppose u - b = s*t, 0*u - 31 = -u - 4*t. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -674*l*s - 2017*l - 276756*s + 2 wrt l?\nAnswer: -674*s - 2017","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -184*m - 8. Let q be t(-4). Suppose 10*g = 3*g + q. What is the tens digit of g - (0 - (-2 + 6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 27*z + 6*z + 8*z + 10. Let y be n(5). What is y rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 1. Let b(p) = p**3 + p**2 - 4*p + 8. Let x(c) = -b(c) - 3*k(c). Let t(j) = 12 + 2*j - 4*j + 2*j - 2*j. Let y be t(6). Calculate x(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/68080 and 35\/304.\nAnswer: 1293520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 3\/8, 1, 0.1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2486 is divided by 240.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 314 = 38. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19253 is divided by 3201.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-5 - -4) - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/27)\/(1\/15). Solve s - 4 + 0 = 0, -a*s = -4*p - 36 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1296\/80)\/(6\/40) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-5 + 2 - -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52080 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 17 = 85. Let p(t) = 2*t**3 + 15*t**2 + 4*t - 22. Let m be p(-8). Let o = m + 305. What is the greatest common factor of u and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 5:42 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 + 1 + 8702*l - 41007*l - 4.\nAnswer: -32305*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - -481*(-72)\/(-936).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 5*t - 1. Let o(k) = -151*k**2 + 6*k. What is -o(n) - 2*y(n)?\nAnswer: 153*n**2 + 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(15)\/sqrt(3) + -2)*2 + (sqrt(4000) - -1*sqrt(4000))\/((-1*sqrt(64))\/sqrt(8)))**2.\nAnswer: 72*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or -1540?\nAnswer: -1540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 28 = 4*d. Find the second derivative of 5*v**5 + 28*v**4 - d*v**4 + v wrt v.\nAnswer: 100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 363 and 1353?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 402*(264\/128 - 3\/48) and 15?\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + 1. What is the smallest common multiple of c and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -14*v**2 - 2*v - 3. Suppose -114 = -3*x - 105. Let w(g) = -6*g**2 - 6 + 4 - g - x*g**2. Suppose 6 = -f + 1. Calculate f*l(o) + 8*w(o).\nAnswer: -2*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 + 2*f**2 - f**2)*(f**2 - f - 5 + 7 + 5*f**2) to s*f**4 + z*f**2 + t + w*f**3 + b*f and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -8\/828901?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95850407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k - 21. Calculate n(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**3 + 18860*n**2 - 89092575*n + 74338134750 = 0. What is n?\nAnswer: -6742, 1485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -675aa5 (base 11) in base 8?\nAnswer: -4067045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 5, -351 in increasing order.\nAnswer: -351, -12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -153 + 303. Let u be (-186)\/(-3) - (1 - 4 - -5). What is the greatest common divisor of u and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -250*u + 30. Let c(w) = -w - 14. What is 2*c(z) + m(z)?\nAnswer: -252*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 7*q. What is the units digit of (1 - q\/(-3))*11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87\/4 of a litre?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1 + 2 + 3*b - 7*b - b. Let z be y(-1). Let l(i) = i**3 + 2*i**2 - 6*i - 6. Let h(n) = -n - 1. Determine z*h(p) - l(p).\nAnswer: -p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -0.34 (c) -4 (d) 0.5 (e) 346.9 (f) -2\/3 (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47695.\nAnswer: 5, 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/16 and -133\/112134.\nAnswer: 897072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.39 times -11664\nAnswer: -4548.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l. Let t(a) be the first derivative of a**6\/12 - 30*a**3 + 98. Let r(i) be the third derivative of t(i). Calculate b(r(j)).\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rccrcrcrrrcr. Give prob of sequence rrrr.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 47*m - 2. Calculate the remainder when v(1) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*p + 3, 3*p + 21 = 5*r - 8. Suppose 3*g - 3*j = 56 - 14, 2*g - r*j - 38 = 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033 take away 2.3?\nAnswer: -2.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 9*k**2 - 9*k. Let h be z(-7). Let n = h - -40. Solve n*f - 20 = -5*q, 3*q + q - 4*f = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3163*g**2 + 9243*g**2 - 3172*g**2 - 2924*g**2.\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27689573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 less than -20.34?\nAnswer: -32.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3511 (base 15) to base 9\nAnswer: -16407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-25)*(-48 - -38).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (15 + -1)) + 2 + -10 + 7.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159410053.\nAnswer: 11, 379, 38237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.61 + 11.79. Which is the nearest to 0? (a) -2\/5 (b) -1\/3 (c) i (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99649 to the power of 1\/2, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -467136 times -23\nAnswer: 10744128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 6*k + 47 - 2 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1584 divided by -1584\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/4)\/((-3)\/48). Suppose -3*o - 8 = 5*x - 32, 0 = 2*x + q*o - 18. Solve -3*w = 4*l - 21, x*w - 5*l = -2*l for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjojkjjjbobjb. Give prob of picking 2 j, 1 b, and 1 o.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-111*(-8)\/216 + -4)*(10 + 2).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*l + 16, l = -2*m - 2*l + 17. Let y(k) = 1192*k - 1. Is y(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 116, 254, 446, 692?\nAnswer: 992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - -1 - (13 + -11 + 1). Let p be (6\/(-8) + g)*-2. What is the closest to -1 in -5, p, 12?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 4. Suppose 2*y + 366 = -348. Let h = 362 + y. Give u(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 3*g + 6. Let n be u(0). Suppose 0 = o - 3*h, -n*o + 3*o = -2*h - 7. Solve o*v = 4*v - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 16896 - 41349. Let j = r + -7443. Is 4\/(-22) - j\/(-22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.200233 and -37.\nAnswer: -7.408621","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**3 - 440*w**2 + 3692*w - 5656 = 0. What is w?\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.016, 3\/5, -455 in decreasing order.\nAnswer: 3\/5, 0.1, 0.016, -455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112011201 - 1010?\nAnswer: -1112012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*14\/(-385) + 8\/77?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 13*u - 369. Solve -39*s = -u*s - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11761295 less than -11761294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16653 (base 7) to base 14.\nAnswer: 1a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -4. Which is the second smallest value? (a) 1\/7 (b) s (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.61410746 to 3 dps.\nAnswer: -8.614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/9)\/((-2)\/14). Let h(j) = -j**2 - 7*j + 5. Let b be h(d). Suppose 107 = 3*p - 4*o, -b*p + 56 = 3*o - 103. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 54 = -2*m, 97 = 3*b + 85*m - 148 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001723 rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/27 of a week?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0181741 and 1.0576.\nAnswer: 1.0394259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -963 (base 11) in base 6?\nAnswer: -5210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-87)\/((-11571)\/(-190))*14\/(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 3*j + 348. Calculate the remainder when j is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rizrziizrvvrrzr. What is prob of picking 1 z, 1 r, and 1 i?\nAnswer: 72\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 0.19, -2\/9?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oaoaioaooaoi. What is prob of sequence aio?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -31*s**3 + 8*s**2 + 14*s + 5. Let l be x(-10). Suppose -7*p = -10*p + l. Let i be (p - 5)*(-1 - 1). What is i rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence naa when three letters picked without replacement from {h: 1, n: 2, q: 2, a: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*y + 2*y + 5 = 0, -2*y = -o + 4. Suppose h = o*h. Suppose -4*s + 151 = 5*x, x = -h*s + 4*s - 133. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 - 9*x - 3. Let i be m(4). Suppose -i*u = -12*u + 99. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.46351ms to seconds.\nAnswer: 0.01146351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhj when three letters picked without replacement from {h: 2, a: 1, j: 1, y: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/232 and 19\/16.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*p - 6 = 0, -5*x - 261 = -2*p - 285. Solve -x*y - y = 35 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**4 - 4*n**3 + 30*n**2 = 0.\nAnswer: -5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*n + 2*y, 6*n - 5*n + 3*y - 22 = 0. Suppose -n*h = -4 - 34. Solve 4*r + 3 = g + h, -3*r - 4*g = -23 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 8*a - 4. Let c be 3 + 2 + (-3)\/1. Suppose u = -0*u + 22. Calculate the least common multiple of u and b(c).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 541984*f - 9213425. Give i(-17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 2*i**4 + 0*i**2)*(-15 - 5 - 9).\nAnswer: -58*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -130 + 129.7. Let r be (6\/(-76))\/((-18)\/237). Let g = r - -4\/19. Which is the closest to -6? (a) g (b) u (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**2 + 0*i**2 + 4 + 2*i**3 - 6*i - 2. Let b be k(4). Find the common denominator of (-15)\/(-20)*(-244)\/b and -77\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r + 8. Let q be h(6). Calculate the greatest common divisor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 0 - (0 + 2). Let r be 1 + (-2060)\/(-16) - l. Let b = 134 - r. Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 - 575*t - 459268. What is d(-307)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1533520*f**2*j + f**2 + 2*f*j + 1731*f + j - 35 with respect to j.\nAnswer: -1533520*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-116)\/(-6)*(6 - (-63)\/(-7)). Let f = -51 - r. What is the third derivative of 24*i**3 - i**2 + 11*i**2 + 14*i**2 - f*i**2 wrt i?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89115?\nAnswer: 3, 5, 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 57*q + 7 + 6 + 29 - 10*q**2.\nAnswer: -3*(q + 7)*(3*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 68.82562 millimeters?\nAnswer: 6.882562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, e: 1}. Give prob of sequence en.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + d**2 - 19*d - 17. What is the hundreds digit of a(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -169*j**6\/10 + 26*j**5 + 147*j**4\/8 + 9*j**3\/2 + 133*j**2\/2 + 58*j. Let r(z) be the first derivative of q(z). Factor r(f).\nAnswer: -3*(f - 1)*(26*f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 91.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2)*(3 - 2*t - 3) + (0*t - 3*t + 2*t)*(2 + 0 + 0)*(-2 - 1 + 2) to the form g + c*t and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qzzqqzqq. What is prob of picking 3 q?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 2*k**2 + 7*k + 4. Calculate c(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(0*q - 4*q + 2*q) - 1 - 6*q + 1 - 124 + 4*q + 118 + 66*q.\nAnswer: 60*q - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -277.4 + 277.6. Put 3, 49.2, -2, z in descending order.\nAnswer: 49.2, 3, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 44*f. Let o = -555 - -554. Let n be (o\/2)\/((-46)\/(-92)). What is v(n)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -4, -0.2603, 196?\nAnswer: -0.2603","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - -8. Let c be 24\/48*0\/2. Solve -4*u - k = -5*k + m, -4*u + k - 13 = c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 7*l**2 + 9*l + 7. Calculate the remainder when b(-7) is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -368 divided by -23.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2015, -16147, -54553, -129389, -252811, -436975, -694037?\n\"Answer: -2026*i**3 + 19*i**2 - 7*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -266443\/57510 - 2\/5751. Calculate the common denominator of 1\/16 and v.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 20\/6)*-6. Suppose f + 2*c - 326 = 0, -3*f + 2*c + 1630 = d*f. Let b(s) = f + 3*s - 326 - 5*s. Let p(y) = -y. Give b(p(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -1682*b + 1679. What is t(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-4) + 133\/(-14). Let j be -7*-1*(0 + 2). Let l = j + u. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + 4*q - 4*q - q + 4*q - 4*q + 467 - 467 + 111*q + (-1 + 1 + 2*q)*(-4 + 3 + 0) + 2*q - 1 + 1.\nAnswer: 107*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1247*h**2 + h**3 + 357*h**2 + 890*h**2.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5.4656 or 1?\nAnswer: 5.4656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 357 + -299. Suppose t + 2*p = -10, -3*t - 4*p - 30 + 10 = 0. Let v = g + t. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 296\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3745911403?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/7 - (-4)\/(-14). Suppose 0 = -2*k - b*k + 32. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 2*i + 4. Let a be w(-3). Let 5*o**2 - 2*o**3 + o - a + o**3 - 4*o**2 = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1181 - -15?\nAnswer: -1165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -390 + 584. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -3 + -5 - 1) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5638.556 litres to millilitres.\nAnswer: 5638556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 17 - 2. Let a(s) = 120*s**4 - 130*s. Let x(u) = 24*u**4 - 26*u. Let c(z) = p*a(z) + 14*x(z). What is the second derivative of c(q) wrt q?\nAnswer: -288*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 70*h - 1063. What is the hundreds digit of i(-50)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - k**2 - 2*k. Let n be y(0). Suppose 21*f - 14*f - 252 = n. Calculate the smallest common multiple of f and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21\/4 of a microsecond?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 943 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-120)\/(-32) + 6\/(-8). Solve 7 = p*a - 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/3 (b) -2\/3 (c) -0.05 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 32464060, 32464059, 32464058?\n\"Answer: -l + 32464061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7*d - 30. Calculate c(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8\/25 of a milligram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 2. Let i(c) be the first derivative of c**2\/2 + 2*c - 6. Let o = -10075 - -10082. What is o*z(q) + 6*i(q)?\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(784)*1)\/((sqrt(88) + -3*sqrt(88)*-1 + sqrt(88))\/sqrt(11)).\nAnswer: 14*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*7\/(-105)*1*-1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019101580 a multiple of 1580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/24 and 31\/7?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19\/2 in -5, 3.65, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 2. Let i = 1938\/533 - 295\/82. What is the fourth smallest value in 3, 1\/4, t, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/5)\/((-6)\/15)*0. Solve 12 = 4*k - d*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-5))\/(18\/30 + -1). Suppose 3*g + 3*c + 3 = 0, -g - 2*c = -6*c - 4. Solve 2*s + i = -g*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1274\/3 or 425?\nAnswer: 425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - r - 14. What is h(-10)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 9. Suppose p - 4 - 23 = a. Suppose 0*x = 3*x - p. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*p**4 + 2*p**3 - 1543*p**2 - 266717*p wrt p?\nAnswer: -108*p**2 + 12*p - 3086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16032053 to the nearest integer?\nAnswer: 4004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 40*w + 88. Let m be r(20). Let p = 490 - m. Suppose 0 + 3\/5*y - 3\/5*y**3 + 0*y**p = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 119, 93, 19, -127, -369?\n\"Answer: -4*y**3 + 2*y + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddw when three letters picked without replacement from wdddddddddw.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 12, m: 6}. What is prob of sequence omm?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15\/35 + 274\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 54\/245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8347 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5987?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 9*z**2 + 4*z + 6. Suppose -5*n = 15 - 80. Calculate the remainder when c(-8) is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 5. Let w be z(-2). Suppose w*k - 40 = 5*t + 5*k, -t = k + 5. Let s be (-25)\/(-40)*(-12)\/t. What is the smallest value in 0.1, s, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -8923\/855 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 + 2*h + 3. Let m(w) = 1. Let i(f) = 6*m(f) - 2*n(f). What is the second derivative of i(t) wrt t?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1.5. Let w = v - 0. Let s = 513\/7 - 73. What is the nearest to s in w, 3, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1403 - 1373. What is the remainder when 42 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5835 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12012 and 1135596.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 11*t**8\/560 + 13*t**7\/175 + t**6\/25 - 11*t**5\/50 - 19*t**4\/40 - 2*t**3\/5 + 18*t**2. Solve s(n) = 0 for n.\nAnswer: -1, -4\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 2*g + 3, -4*t + 0*t + 3*g = -8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -1\/6*j**3 + 0 + 1\/24*j**4 + 0*j + 1\/60*j**5 + 12*j**2. Calculate a(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19714047 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(119) + sqrt(119)*2))\/sqrt(7)*4.\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55 or -131?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**5 + a**3 - a**2 - a. Let f(h) = -7*h**5 - 24*h**4 + 31*h**3 - 4*h**2 - 4*h. Let v(t) = -f(t) + 4*o(t). Factor v(x).\nAnswer: 3*x**3*(x - 1)*(x + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -108, -100, -82, -48, 8, 92, 210, 368?\n\"Answer: k**3 - k**2 + 4*k - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 - -53. Let u be (-4*t\/12)\/((-2)\/(-10)). Solve 0 = 3*x + 2*c - u, 5*x + 5*c - 10 = 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1390648 to three decimal places.\nAnswer: -0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 6:06 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17685591, -17685590, -17685589, -17685588, -17685587?\n\"Answer: m - 17685592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21.84? (a) 1\/3 (b) 2 (c) 3\/5 (d) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30946 rounded to the nearest one hundred?\nAnswer: 30900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from {o: 3, j: 1, t: 4, e: 1, m: 4}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -654.9999999251 + 655. Round d to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 1154718136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -399?\nAnswer: 398.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 497?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/16)\/(3\/(36\/(-3)))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 9:32 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-7) + (-4)\/14. Let j = -16848 + 30340. Suppose -i - 2*i - 2*p = j, x = 5*p - 20. What is i rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59058 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 9*k - 28. Let x(o) = -o**3 + 7*o**2 + 6*o + 5. Is x(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1186 + -1043. Calculate the highest common divisor of 195 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -470782?\nAnswer: 470787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 + -56. Let t(k) be the first derivative of 3 + q*k**2 + 1\/3*k**3 - k. Find p such that t(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 65 + 65)*(2 - 5 - 13)*(-3*r - 3*r + 3*r) - r + r + r**2 + (3 - 3 + r)*(-4 + 4 + r).\nAnswer: -94*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*y**2 - 39*y + 39*y + 100*y**2 - 560*y**3.\nAnswer: -560*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 422\/7 - 60. Put u, 2\/5, 3 in ascending order.\nAnswer: u, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qddqdhq. Give prob of sequence qhd.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 167, 1759, 6091, 14537, 28471?\n\"Answer: 229*r**3 - 4*r**2 + r - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 12*a - 25 = 0. Let i(p) = 2*p - 3. Let f be i(2). Put a, 10, 0, f in descending order.\nAnswer: 10, f, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.53 + -0.61. Is 0.8 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62881269 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k + 2. Let y(c) = 19*c**2 + 13*c - 7. Let d(n) = 11*n**2 + 6*n - 3. Let x(l) = -7*d(l) + 4*y(l). Calculate 7*g(z) + 2*x(z).\nAnswer: -2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 9) in base 15?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -75?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/30 and 83\/(-4)*8\/78 - -2.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -1 - 6) + (-2 - 2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 12 = 4*n + 7, -4*n + 4*m - 12 = 0. What is the closest to 0.2 in 16, n, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**8\/112 + 2*h**7\/35 + h**6\/8 + h**5\/10 + 18*h**2 + 2*h. Determine w, given that u(w) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g + 2. Let s be j(-5). Suppose -85*r + 44*r = -738. Does r = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -171, 1, -52 in descending order.\nAnswer: 1, -52, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 30 = -95. Let y be 1 + 3 + -1 - z*1. What is y rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4 - 5 - 2. Suppose 4*z = 3*z + 37. Suppose -4*m - 5*d = z, -5*d - 2 = -3*m + 14. Let f(w) = -w + 7. Give m*f(y) - 7*j(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.8934 (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpfsrpr. What is prob of picking 2 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.05 + 0.05. Let u = 3.8 + 2.2. What is the second biggest value in u, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4702 (base 8) in base 10?\nAnswer: 2498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s - 6. Calculate t(22).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 10940*o + 9791289. Determine t(-895).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*f = -h + 160, 0 = 5*h - 2*f - 188. What is the highest common factor of h and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 35\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 2\/7 (b) -4 (c) -2\/7 (d) -88 (e) 26 (f) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r**2 + 2*r**2 + 5*r**2. Suppose 4*g + 2 = 3*m, 5*m + 62 - 7 = -5*g. Let d(s) = s. Let f(t) = 5*t. Let b(x) = m*d(x) + f(x). Calculate h(b(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 77*v - 191. Let r(g) = 13*g - 38. Determine 2*b(t) - 11*r(t).\nAnswer: 11*t + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36 - -35)*(-6)\/(-10). What is the nearest to 1 in 1\/10, 1\/20, o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15474 by 5.\nAnswer: 15474\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/11)\/(1\/(-24)) and 14\/20*(-39)\/(-21)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-264 + 216 - 113)*(-4*n**5 + 15*n**5 + 4*n**5).\nAnswer: -2415*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-88) - (-3384)\/22. Let q = -62 + w. Suppose 0*b = b - q. What is the greatest common divisor of 23 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 423 (base 8) to base 2\nAnswer: 100010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 366 and 45750.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3)*-6 + sqrt(88)\/(sqrt(72) - sqrt(8)) - (6*sqrt(55)\/sqrt(5) - (2*3*sqrt(11))**2).\nAnswer: -23*sqrt(11)\/2 + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0561 take away 0.02?\nAnswer: 0.0361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -220112?\nAnswer: 220110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -2*z + 12, 4*z = -320*f + 324*f - 32 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-385)\/10)\/((-60)\/32*(-20 + 24) + 8).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.263 * 0.4.\nAnswer: 0.1052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 20*r + 16 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 0*d - 5*d - 106, u - 4*d = 32. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzz. What is prob of picking 4 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 0*y**3 + 0*y**4 - 1\/120*y**6 + 0*y**5 - 1\/2*y**2 + 0 + y. Let b(c) be the first derivative of q(c). Solve b(l) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyna when four letters picked without replacement from {a: 1, w: 1, x: 1, n: 2, l: 1, y: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -424, -390, 84, 1010, 2400, 4266, 6620?\n\"Answer: 2*a**3 + 208*a**2 - 604*a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 1. Let w be h(-3). Suppose q - w = -0. Let i = -3 + 2.6. Which is the third biggest value? (a) i (b) -1\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 3. Let o be r(-3). Suppose a + 4*a - 120 = -5*q, -q + 2*a + 36 = o. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -124*y**3\/3 + 55*y**2\/2 - 21. Find the second derivative of s(o) wrt o.\nAnswer: -248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -287 - d**4 + 360601*d**3 - 360601*d**3 - 6*d**4 - 13*d**4 + 3*d**4 + (d**3 + 0*d**3 + d**3)*(0*d - 3*d + 2*d).\nAnswer: -19*d**4 - 287","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -314, -29, 738, 2227, 4678, 8331?\nAnswer: 13426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-3))\/((6\/(-1206))\/(-1)). Let f = 141 - s. What is the highest common divisor of f and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**2*z**3 - 40111*x**2*z + 1068*x*z**3 + x*z**2 + 3*x*z + 5*z**3 wrt z?\nAnswer: -12*x**2 + 6408*x + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*1844\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/4, -5, -18\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hif when three letters picked without replacement from wllilhflkiwk.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30716161733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2. Let z(p) be the first derivative of -5*p**3\/2 + 10*p - 9. Let o(w) be the first derivative of z(w). Determine v(o(q)).\nAnswer: -450*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(875))\/sqrt(5)*-6 + 0)**2 + (0 + sqrt(7) + sqrt(28)\/sqrt(4)*4 + -2*sqrt(63))**2*5.\nAnswer: 6335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 6 + 14. Suppose -2*k - g = -4*u + 235, k - 116 = -2*u. What is the common denominator of 77\/10 and (-2 + 1)*u\/(-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 156?\nAnswer: -780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 69453.01 weeks?\nAnswer: 42005180448000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 499 + -497. Solve u - h = -5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84135 divided by 23\nAnswer: -84135\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3015 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1516 divide 39714652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/6 + 5595*o**3\/2 - 4347161*o**2\/2 + 2595133411*o\/6.\nAnswer: -o*(o - 15979)*(o - 403)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13 (b) 0 (c) -191 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -41 - 52. Suppose 0 = 30*x - k*x. Sort 3, x, -3\/7 in descending order.\nAnswer: 3, x, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -281\/238 + 11\/34. Let d = 0.15 - -0.05. Let m = 3.8 + d. Sort 3, n, m in decreasing order.\nAnswer: m, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 2 (c) 1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*sqrt(117)*4 - sqrt(117) - 6*(-3*sqrt(637) - sqrt(637)))**2.\nAnswer: -608634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -129*1*2\/(-6). Let o = -58 + 63. Suppose u + 0*s + 2*s = 78, -u + o*s + v = 0. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**3 + f**3 + 5*f**3 + (30*f**2 - 45*f**2 - 43*f**2)*(3*f - 6*f + 2*f) - f + f - 2*f**3 as q*f**3 + n*f**2 + u*f + g and give q.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -443\/1819?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -17*r**3\/6 + 3*r**2 - r. Let x be j(-6). Calculate the greatest common factor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9335580 and 4356604.\nAnswer: 65349060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 at most 366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 2*y + 3. Let x be k(3). Let d = 1 + x. Let i be (0 - d)\/(1 + 0). What is the closest to -0.1 in i, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2172 and -28064115383.\nAnswer: -28064117555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + n - 10 = -0*n, 50 = -5*a - 4*n. Let m be (a\/6)\/(6\/(-18)). Calculate the highest common factor of 35 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - n = 4 - 144, r = -2*n + 40. Calculate the greatest common divisor of 1896 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/550 and -98\/264825?\nAnswer: 529650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-10 - (0 - 5 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 4737830*i.\nAnswer: -5*i*(i + 947566)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72 - -89) + -8 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5994*z**3 + 2520*z**2 wrt z.\nAnswer: 35964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.00606 and -3545353030.\nAnswer: -3545353029.99394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**2\/2 + 8*x + 3. Let i be v(-6). Solve 8 = 5*y - 2*m - i*m, 5*m = 4*y - 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8*(-11)\/308 + 66\/14. Suppose 0 = -3*d + d + 2*h + 12, 2*h = y*d - 36. Solve d*q - 3*q = -10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144743 is divided by 2182.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -20097*y**3 - y**2 - 4*y - 5. Is x(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -800548723 or -1?\nAnswer: -800548723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 6*v - 3*v + 12 = 0, 0 = -4*h + 4*v + 16. Suppose -c + 1 + 3 = h. Suppose 0*y = 2*y - c. Solve 2*p + 2*u = -12, 25 = y*p - 5*u + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 176339.\nAnswer: -176339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-2) + 2\/(-4). Let o(s) = -s - 1. Let y(w) = -3*w. Let x(q) = v*o(q) + y(q). Determine x(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2673853892?\nAnswer: 2, 668463473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12720 > 12721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**5\/20 + 3*x**4\/4 - 5*x**3\/2 + x**2. Factor p(l).\nAnswer: -3*(l - 5)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 7, m: 1, w: 2, r: 2, v: 1}. Give prob of sequence wm.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**6\/90 - c**5\/15 - 5*c**4\/36 - c**3\/9 - 15*c. Factor f(t).\nAnswer: -t*(t + 1)**2*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1783026\/2268 - (-2)\/(-12). What is the greatest common factor of 4454 and u?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1 + (3 - 2 + 0)*(-4 + 6 - 4))*(2 + i + 15*i + 14*i).\nAnswer: -90*i - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (45\/(-6))\/5*-2. Let j = x + -2. Let b be -1 - (j + -2)\/1. Solve 0*q + 5*q - 20 = b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 147*k**5\/5 + 593*k**4\/5 + 151*k**3 + 319*k**2\/5 + 2*k = 0.\nAnswer: -2, -1, -5\/147, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.046 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04576 - -0.0457597621. What is i rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*b + 76*r - 72*r + 28, 3*b = -2*r + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.16677+-131.227\nAnswer: -131.39377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*i - 1271 = -855 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20906545 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 249361212 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3999465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**4 - 352*n**2 - 2 + n**3 + 352*n**2 to y*n**4 + i*n**2 + s*n + d + p*n**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 299 + -200. Calculate the highest common factor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + -22 + 52 - 22?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3200 and 0.03.\nAnswer: 3200.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**3 + 454142*d**2 + 25780392448*d - 25780846592 = 0.\nAnswer: -113536, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 3*o**2 - 2. Let l be t(2). Let x be 0\/(0 + -1 + l). Is 2*(x - (-75)\/6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k + 42. Suppose -11 - 2 = i - 4*r, -2*i = 5*r. Let o be m(i). Solve -3*y = -3*n + o, 0*y = -2*y - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/sqrt(2) + (1 + sqrt(200))**2.\nAnswer: 22*sqrt(2) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*j + 24865, j - 5726 + 760 = o. Does 27 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*l - 2*l + 184 = -722 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12828 - 74388 = -3031*a + 237182 + 80133 for a.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -94316894 * -5\nAnswer: 471584470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 31. Let t be x(9). Let g = t + 23. Suppose 4*j - 62 = 5*l + 257, 0 = -l + g. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 3\/2, -6\/25 in increasing order.\nAnswer: -2, -6\/25, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5402654.\nAnswer: 2, 23, 257, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 327 and 21582.\nAnswer: 21582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85 - -97. Calculate the remainder when 22 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 0*k**3 + 0 + 0*k**4 + 0*k - 1\/60*k**5 - 3*k**2. Let v(d) = -41*d - 5*d**2 + 41*d. Give h(v(g)).\nAnswer: -25*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 735899249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -3. Let l(t) = -t**2 - 8*t - 3. Let y be l(f). Suppose 0 = -3*w - 4*h + 18, 0*w - 2*w + h = -12. Solve 3*b + w + y = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 241 + -207. What is the remainder when 80 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 14*u**2 + 9*u. Let g be l(14). What is the highest common divisor of 18 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -295 + 460. What is the lowest common multiple of 15 and x?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -157, -170, -183, -196, -209?\n\"Answer: -13*a - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -625106 or -625122?\nAnswer: -625106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 501 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 101*l**2 - 9*l + 10845. Calculate b(100).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 6 = 30. Let m(q) = 7*q**2. Let g(f) = -3*f**2. Let t(k) = a*g(k) - 4*m(k). Let l(c) = 1866*c + 1870*c - 3736*c + 5*c**2. What is l(t(d))?\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**4\/12 - 4*a**3\/3 - 11*a**2\/2 - 32*a. Calculate the remainder when 43 is divided by s(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577006403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 163*q - 158*q. Let o(k) = 32*k + 17. Let a(y) = 8*y + 4. Let s(f) = -9*a(f) + 2*o(f). Give s(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1687037 is divided by 871.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5322 divide 519539551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/25)\/(w**(-2\/21)\/w))\/(w**22*w*w**(3\/4)*w) assuming w is positive.\nAnswer: w**(-49507\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-80))\/(1 - (-12)\/(-20)). Which is the fourth smallest value? (a) t (b) -1\/6 (c) 1\/9 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41513.02t in kilograms?\nAnswer: 41513020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 84*y + 6. Let q be s(-2). Let d be -5 + q + (1 - 2). Let k be (10\/4)\/((-70)\/d). Solve -4*h = -2*p - k, -p - p - 4*h - 6 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(27\/(-2348))*-3. Let m = -16398\/7 + x. Find the common denominator of -40\/21 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -538 + 538. Let i(y) be the third derivative of r*y + 1\/30*y**5 + 0*y**3 - 1\/12*y**4 - 4*y**2 + 0. What is the second derivative of i(j) wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2 - 93*u - 10915. Give c(65).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10973541 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 4500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/10 of a decade?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 9*r**2 - 13*r. Let y(l) = 5*l**2 - 6*l. Let s be 6\/(-2) - (-15 - 1\/1). What is s*y(h) - 6*q(h)?\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 85297068 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 463, -2 in descending order.\nAnswer: 463, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + (2*-2)\/2. What is the remainder when z - (1*-2 - 0) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45011 - -101567. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16056?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 150085 divided by 523?\nAnswer: 150085\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -119 - -110. Let n = -2 - k. Solve -3*a - n + 16 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19946*v**3 - 17174*v wrt v?\nAnswer: -119676*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 565 - 565. Suppose q = -s + 2*m + 39, -2*s - 41 + 122 = -3*m. What is the greatest common divisor of s and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138753586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -335540 rounded to the nearest 1000?\nAnswer: -336000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18893 = -4*r - r + 4*v, 2*r - 2*v = 7556. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - m**2 - 2*m + 2. Let n be s(0). What is the smallest value in -0.3, n, 2.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1271, 1382, 1493?\n\"Answer: 111*d + 1160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 2*n**2 - n - 3. Let m be q(3). Let x be (-3 + 6)\/(m\/6). Solve -x = -h - 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*a**2 - a**4 - 2 - 10*a + 17*a - 8*a in the form n*a + w*a**4 + o*a**2 + s + j*a**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 0.5 in descending order.\nAnswer: 0.5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*i**3 - 38*i**2 - 4*i - 424289 wrt i.\nAnswer: 45*i**2 - 76*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 25*c**2 + 5420*c + 9675 = 0.\nAnswer: -215, -9\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 468806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -98 - 116 + 333 + y - 121 - 67*y**2 + 3*y**3 as d*y**3 + b*y**2 + r + j*y and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 123525 = -4*h, 0 = 5*h - 4*g - 29951 - 124458. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 2.1. Suppose 25 = 3*q - 29. Let g = -6886\/8795 + -30\/1759. Which is the closest to p? (a) q (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35463817.\nAnswer: 35463817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 15316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(6\/13)\/o)\/(o**(-2\/7)\/o) assuming o is positive.\nAnswer: o**(68\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3159 and 3861?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - 1. Let f = c + 12. Suppose 10 + 34 = f*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7220 and 0.5?\nAnswer: 7219.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1419388 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1629229?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -12, 4, 38, 96, 184?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 35*c - 90. Let y be x(-32). Calculate the remainder when 62 is divided by (-9 + y)*32\/(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*s + 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 3*y = -5*y. Suppose y = b + 234 - 248. Calculate the greatest common divisor of b and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17 + 2)*(4\/10)\/(-1). Suppose -2*q = 5*v - 10, q + 4*v = j*v - 4. Let s(r) be the first derivative of r**2\/2 - 2. What is s(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**4\/12 - 5*x**3\/6 - 2*x**2 + 8*x. What is j(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 146 and 2056.\nAnswer: 150088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7485, -6616, -5737, -4842, -3925, -2980?\n\"Answer: q**3 - q**2 + 865*q - 8350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j = 4*j + 36 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -6215, 11 in descending order.\nAnswer: 11, -24, -6215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 28 = -2*u, -5*u - 464*r + 461*r = -92 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r. Let g(i) = -72 + 1330*i + 215 - 143. Calculate n(g(j)).\nAnswer: 1330*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -740*w**2 - 154?\nAnswer: -1480*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 + d**2 - d - 2. Let h(m) = 1987*m**3 + 7*m**2 - 7*m - 14. What is -2*h(y) + 14*j(y)?\nAnswer: -3946*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -364 - -528. Let n = -159 + f. Let h = 3 - 1. Which is the third biggest value? (a) n (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (135*i - 46148 + 46148)*(0 - 5 + 4)*(6*i**3 - 3*i**3 - 4*i**3).\nAnswer: 135*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2290 - -2409. Solve -3*v - 14*v - s = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-12)*-3 - -1. Suppose 0 = 5*y - i - 5 - 3, -2*y = -i - s. Factor 81\/2*u**4 + 18*u**3 + 2*u**y + 0*u + 0.\nAnswer: u**2*(9*u + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 532. Let c be h(0). Let o = -3 - -5. Suppose -s + c = -4*t, 2 = 2*t - o. Round s to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Suppose -7 = 2*x + 4*l - j, 0 = 2*x - 4*l - 18. Determine a, given that -2*a**2 - 2*a - 2\/3*a**x - 2\/3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.87 - 10.8. Let l = 1 + t. Which is the nearest to -0.1? (a) l (b) 0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/3)\/(y*y\/(y\/(y**4\/y))))\/(y**2*y\/y**(-1\/6)))\/((y*y\/(y**(2\/7)*y))**30*(y*y*y**(-1\/4)\/y)\/y*y**(3\/7)\/y) assuming y is positive.\nAnswer: y**(-815\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/10*(-1 + -4). Let m(k) = 2*k**2 + 4*k. Let r be m(a). Solve -5*x + x - 12 = r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35397 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 8. Suppose c*a = -3*y - 0*a - 2725, -4*y = 5*a + 3625. Round y to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*g - 49, -3*n + n + 5*g + 37 = 0. Let u be 289\/51 - (-2)\/n. Let r(l) = l**2 - 9*l + 9. Give r(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 9, -l + 3*l + 4*d = -180. Let u = -668\/7 - l. Let c = 248.438 - 248.338. What is the smallest value in c, u, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 194823191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 31*d**2 + 15*d**2 + 0*d - 2*d + 375 - 5*d**3 - d**2 - 366. What is a(9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01221 rounded to four dps?\nAnswer: 0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 13 = d - 5*d, -4*d = b - 9. Let w = 2 + d. Solve 4*v - w = -0*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 23. Solve j + 3*d + 24 = q*j, -j + 2*d = -11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 - 10)*(5*y - 3*y - y)*(-4*y + 2*y + 0*y)*(1 + 1 + 0) as b*y + p + q*y**2 and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-4)\/(-8)*-1) - -10. Solve x = 3*m + 5*q - 12, -q = -1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(75) - -2*sqrt(75))*-5 + -2 + 6*(sqrt(75) - (sqrt(75) - -3*sqrt(75))) + -3*(sqrt(75)*2 - sqrt(75)))**2.\nAnswer: 1320*sqrt(3) + 326704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 - 49. Suppose -10*q - v = -21. Suppose 0 = -l - 3*l - 4*j + 1480, -370 = -l + q*j. Is 37 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-223)\/((-56865)\/340))\/((-3)\/(8*18)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 10:02 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 2 - (0 + 1 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - (12 - 24 - -23) - 14) + -65.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, v: 3, d: 8}. Give prob of picking 1 d and 1 v.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3532 - -3527. Let z be 2\/40 - 3\/12. Let d = 0.2 - -0.3. Which is the biggest value? (a) z (b) q (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(130) - 3*sqrt(130)) - sqrt(130))\/(sqrt(30)\/(3*sqrt(3)) - sqrt(10)).\nAnswer: -9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 0.84041573\nAnswer: 0.94041573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + (sqrt(130)*1 - sqrt(130)) + sqrt(130))*-1*-3)\/(sqrt(10) + 2*sqrt(10)*-2 - 6*sqrt(30)\/sqrt(3)).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 41*f**5\/60 + f**3\/6 - 12*f**2 - f. Find the first derivative of u(p) wrt p.\nAnswer: 82*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/64 of a gram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 103*f + 438165. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*y + 368 = 9*y + 34*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39.6 - 36. Let s = n + -4. Let g(x) = x**2 + 3*x + 3. Let o be g(-3). Which is the nearest to -1? (a) 2 (b) s (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1373403?\nAnswer: 3, 37, 12373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 188, 584, 1344, 2588, 4436, 7008, 10424?\nAnswer: 14804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 1319?\nAnswer: -20\/1319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*r - 26 = -r, -4*i - 3*r + 85 = 0. Let k = i - 7. Is 188*-11*(-3)\/k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4691*-0.0365\nAnswer: -171.2215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -44. Suppose 2 = -m + p. Suppose 6*k = 31 + m. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 41*c + 20. Determine i(6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q**2 - 2*q. Let t(n) = -7*n**2 - 3*n. Let x(r) = -4*c(r) + 3*t(r). Let i be x(-2). Solve -3*d + i = 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1298802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 220064 a multiple of 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -515003.677951.\nAnswer: -515006.677951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 w when four letters picked without replacement from {w: 4, b: 14}?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 9:11 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*(sqrt(204)*2 - sqrt(204)))\/sqrt(192).\nAnswer: -5 - sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 8:36 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 268*c**3 + 7*c**2 - 9*c + 10. Let i be y(-10). What is i rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4728103*y**4 + 1596*y**2 + 31*y + 4 wrt y.\nAnswer: -113474472*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40679 + -40679. Let t = 3 + -11. What is the closest to u in -0.3, -1\/8, -2, t?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100011011011 - -110010101100101?\nAnswer: 100110010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53 - 2*12\/8.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.7 and 24612.\nAnswer: 24611.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100 + 55. Let s = 224\/5 + w. Let c = 91 - 545\/6. What is the nearest to -1 in -2\/9, s, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1497724 and -4.\nAnswer: 4.5990896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -351 + -37?\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -212074, -846303, -1903352, -3383221?\n\"Answer: -211410*c**2 + c - 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19ea + -229?\nAnswer: -1c24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 135*k**3 + 19*k**2 - 5*k wrt k.\nAnswer: 810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z - 994381 + 994381 - 2*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 4. Is 0 at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 + 8*q + 4. Let u(y) = 2*y**3 + 6 - 3*y**3 + 2*y**3 - 10*y**2. Let m be u(10). What is d(m)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19281598979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154906.\nAnswer: 2, 73, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2565198 is divided by 855061.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71666.65cm to micrometers.\nAnswer: 716666500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 6:18 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(44) - (sqrt(1100) + sqrt(44))))\/((sqrt(24) - (sqrt(384) - sqrt(24)))\/sqrt(6)))**2.\nAnswer: 6875\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s + 2. Let f be l(-3). Let q(x) = x**3 + 6*x**2 - 9*x - 7. Does 2 divide q(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2116621 is divided by 352767.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2780610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1175)\/19975*(-35)\/(-1)*(-1)\/(20\/(-8))?\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -321*w**3 - 7*w**2 + 16*w - 18. Let a(n) = 160*n**3 + 3*n**2 - 7*n + 8. Calculate -9*a(y) - 4*z(y).\nAnswer: -156*y**3 + y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 18 = -5*l - 2*u, -l + 3*u = 14 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*g + 46*g = 186. Suppose 68 = -11*s - g. Let x be (s - -9) + -3 + 6\/2. Let u(i) = i + 11. Calculate u(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 25\/(-20))\/((-9)\/48).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from ruvuvryvurrruquqvq.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*q + 18 = 0. Let b be (-3)\/q*(-6 - -12). Suppose 5*o = -5*m + 200, -2*o - 169 = -4*m + b*o. What is the remainder when m is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (156*f**2 - 21835*f**2 - 13 + 13 - 12251*f**2)*(-f + f - 2*f**2).\nAnswer: 67860*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from ojyojkd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/9*-227 + (-2)\/9. Determine w, given that 0*w**3 - 40*w**2 + y*w - 4*w**3 + 30 - 9*w**3 - 2*w**3 = 0.\nAnswer: -3, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 5*g + 7. Let m be z(-6). Suppose m = 5*q + 3. Solve -q*d**2 - 6\/5*d + 4\/5 = 0 for d.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2042145 greater than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54\/7 or 1977.6?\nAnswer: 1977.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3459345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2*k - k)*(-63 + 48 - 101).\nAnswer: 116*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15022921 divided by 19.\nAnswer: 15022921\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + u - 2)*(-5*u + 3*u + 3*u)*(-u + 0 + 0).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 3:42 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 22*q + 3. Let y be l(22). What is the second derivative of 7*n**4 + 15*n + 0*n - y*n**2 + 4*n**2 + 3 + 7*n**4 wrt n?\nAnswer: 168*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 - 135 - (4 - 45)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -1102?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.203*0.1\nAnswer: 0.0203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 5, -0.04, -3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24.51 + -25.6. Let z = 1.0909 + l. Round z to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + 0)*(-4)\/(-3). Suppose -p = -5*j + l + 1, 2*j + 2*l + 10 = 0. Suppose 5*h - 198 - 42 = j. What is the greatest common divisor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.914 - -0.414. Put 2\/7, -0.3, i in increasing order.\nAnswer: i, -0.3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-7)*j**0*(j**3\/j)\/j**8 assuming j is positive.\nAnswer: j**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 0.11 (b) -3 (c) -95.9 (d) 1\/3 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, m: 1, c: 1, g: 2, p: 2, e: 1}. Give prob of sequence ecr.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 858.\nAnswer: 857.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -14*f - 8. Let s be b(9). List the prime factors of s*(-4 + 14\/4).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 2.2456, -3.\nAnswer: -3, 4\/5, 2.2456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, 4, -365 in ascending order.\nAnswer: -365, 4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 z, and 1 t when three letters picked without replacement from {l: 1, h: 2, s: 14, z: 1, t: 1}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 67*l**3 - 9*l**2 - 6*l + 5. Let p be c(6). Suppose -2*d - p = -1997. Round d to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 6 = -3*z, 5*g + z = -27. Let t be (-2)\/6 - 356\/g. Suppose 151 - t = 4*k. Calculate the remainder when k is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8113*h + 56790. Give f(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100 + 101?\nAnswer: 101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 465 and 34131.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 11:14 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 194759567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**3 + 12*l**3 + 11*l**3 - 4*l**3 + 7*l**3.\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -98.925 - 0.075. Let f = 94 + o. Sort 0.3, -0.3, -1\/4, f in increasing order.\nAnswer: f, -0.3, -1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -74*x**2 - 57*x. Let a(p) = -p**2. Calculate r(a(l)).\nAnswer: -74*l**4 + 57*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 31 = -5*j, -48*u - 4*j - 38 = -43*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1852, -7767, -17730, -31735, -49776?\nAnswer: -71847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/(-224)*7\/((-21)\/(-2)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36468\/135 + 4\/(-30). Suppose 55*s - 50*s = o. Is 22 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -121*f + 104*f + 14 - 10 + 29. Let c be w(2). Let k(d) = 11*d**2 + 3*d + 2. Let m be k(c). Solve 0 = -4*p - p + m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1903447514 to the power of 1\/3, to the nearest integer?\nAnswer: 1239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 6*v - 125. Suppose -a - 2*j - 4 = -2*a, -5*j = -a + v. Sort 1, a, 4 in decreasing order.\nAnswer: 4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -315629734*g + 401433275 wrt g.\nAnswer: -315629734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 43\/2 of a microgram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54219677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*i**2 - 28*i**2 + 13654 - 8551*i**5 - 13679 wrt i.\nAnswer: -513060*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1200*k - 511*k + 34242 = -209*k - 185*k for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 24*v - 52. Let p be m(14). Solve 22 = 4*j + l, -j = -0*l + 5*l + p for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(125\/14089405) + (-2)\/10. Let c(f) = -f**2 - 5*f - 4. Let q be c(-4). Suppose -i + d + 3636424 = q. Round i to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4077784?\nAnswer: 2, 509723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 202012022220222 (base 3) in base 12?\nAnswer: 37177a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2477111?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.297 - 5.397. Let s = 0 - -0.3. What is the second smallest value in s, -2\/15, i, -1.12?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -894670 divided by -178934\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43821 + 54150. Does 24 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*2428\nAnswer: -12140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((37725\/(-50300))\/((-2)\/8 - 0))\/((-24)\/(-94))?\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19285 is divided by 306?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4029*a*c**3 + 987*a*c**2 - 3*a*c wrt c.\nAnswer: -24174*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-168)\/54*(-165)\/4620\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/9*(31\/(-93))\/(4\/66)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -0.05 (c) -2\/9 (d) 29\/62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from {j: 1, v: 2, d: 1, t: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**11)\/(b**(-39)*b))\/(b**(7\/12)\/b**(-9)) assuming b is positive.\nAnswer: b**(221\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 59*z**2 + 936*z - 1137. Determine j(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10621189, -10621194, -10621199, -10621204, -10621209?\nAnswer: -10621214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2952 = -3*m, 82*i - 81*i + 5*m = 2928. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146930.734 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1973 and -1987.1.\nAnswer: -14.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 8*u - 65. Let s be v(8). Let g(p) = 235*p**2 + 7*p + 2. Let q be g(s). What is the highest common divisor of q and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + 25 - 47 + 26)*(-c - 4*c + 3*c)*(9 - 1 - 2) to k*c + z*c**2 + y and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q**2 + q. Let v be u(-2). Solve -4 = 4*b, 0 = 3*r - 0*b - 3*b - v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 27. Let y = -68 - -73. Suppose f + 42 = y*n. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233170670?\nAnswer: 2, 5, 37, 61, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**5\/60 + 11*t**4\/24 + 13*t**3\/6 + 6*t**2. What is the remainder when v(9) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1140*r = -1147*r + 28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(6*(-4)\/(-96)). Solve -5*l + v = 2*o - 7, 2*o - 4*l = 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28575 - 27351. Calculate the smallest common multiple of 360 and y.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 450 + 98?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c + 4*c + 3 + 8*c - 2*c + 2*c**2. Let x be o(-7). Let i = x + -6. Solve -5 = -u - i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12101203033 - 11?\nAnswer: -12101203110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 166268701 to the power of 1\/2, to the nearest integer?\nAnswer: 12895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 99538.2 litres in millilitres?\nAnswer: 99538200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-9))\/(p\/p**(3\/2))*p**(9\/10)\/(p**21*p) assuming p is positive.\nAnswer: p**(-143\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(10\/(-28))*(-40)\/80?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 905\/6 + -22621\/150. Let v = -1\/10 - 7\/5. Which is the closest to -1\/4? (a) v (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**4 - 2836197*y**3 - 2681340643794*y**2 - 844983389984790428*y - 2534926037965154376 = 0.\nAnswer: -945398, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*g**3 + 385*g**2 - 775*g + 170.\nAnswer: -5*(g - 17)*(g - 2)*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -6\/11*v + 8\/33*v**3 - v**2 + 54. Determine s, given that f(s) = 0.\nAnswer: -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmm. What is prob of picking 4 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 + 0.3. Let y be 4\/(-3)*49\/(-14). Let t = -59\/12 + y. What is the third smallest value in z, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(3\/14))**(24\/7)\/((x\/(x**(4\/3)*x))\/(x\/(x\/x**4)))**25 assuming x is positive.\nAnswer: x**(19492\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3 + 101750*q**2 = 0.\nAnswer: -50875, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + 4*c + 11*c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*h - 0*h. What is the units digit of (1 - 2) + h - -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1820169162?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 62400*w**2 + w - 25. Let f be x(25). What is f rounded to the nearest one million?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 2\/165, -129, -33?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 136.8 (b) 0.1 (c) 2 (d) -232 (e) 4 (f) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 8:06 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 + 6*v + 21 - 3*v**2 - 50 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1892\/187 + 4\/(-34)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 47 + 14163*f - 14164*f.\nAnswer: -f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(192) - (2 + (sqrt(192) - (0 + sqrt(192)))) - (1*sqrt(192) + sqrt(192) + -2))*-1)**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - o - 1 + 5 = 0, 12 = -z - 4*o. Suppose -130*s + 30 = -125*s. Let l(p) = -p + 16. Let t be l(s). Solve 10 = z*i - t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 212*g**7\/7 - 36*g**3 + 126. Find the third derivative of l(t) wrt t.\nAnswer: 25440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 7 = -2*a - 19, -r + 27 = -5*a. Let y(m) = -m - 2. Let d be y(a). What is the second smallest value in d, -5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-r + 2*r + 2*r)*(2 - 2 + r) - r**2 - r**2 + 0*r**2)*(-3 + r + 3).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**3 - 2246940*p**2 - 630959830104*p + 74484549630896 = 0?\nAnswer: -561794, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -38*d - 2. Let l(q) = -2*q + 5503677. Calculate l(s(k)).\nAnswer: 76*k + 5503681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -299000, -597991, -896976, -1195955?\n\"Answer: 3*t**2 - 299000*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 0*d - 300. Let p = d - 25. Let h = p + -26. Calculate the remainder when h is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*m + 29 = 8*v, -2*m = -5*v + 47. Suppose 0 = v*o - 13 - 14. What is the smallest value in -16, -2, o?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - -1 - (-2070)\/18. Let k = -111 + o. Suppose -5*l + 41 = -k*h, 33 = -2*h + 2*l + 3*l. What is the third biggest value in -0.4, -0.3, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 10*w - 16. Suppose s - 3 = 0, 2*g - 3*s - w = 13. What is the least common multiple of g and 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 724 (base 15) to base 16\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 957176923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 2*x**3 - 5*x**2 - x**3 + 10*x**2.\nAnswer: -3*x**2*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*2\/(-28))\/(8*46\/(-368))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + sqrt(104) + (sqrt(104) - sqrt(104)*2 - sqrt(104))*6)\/((sqrt(2) - (sqrt(2) + sqrt(242) + sqrt(242)*-1 + sqrt(242))) + sqrt(2)))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 + -31. Suppose q = 5*u - 4. Let r(x) = 5*x**3 + x**2 + x + 1. Let z be r(-1). Put u, z, -5 in ascending order.\nAnswer: -5, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**3*w - 108*a**2*w**2 - 2*w**2 + 76 wrt a.\nAnswer: -3*a**2*w - 216*a*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 456 and 4195618.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2504*v - 20. Let d(x) = -836*x - 6. Give -10*d(h) + 3*n(h).\nAnswer: 848*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a minute in seconds?\nAnswer: 804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03979454469 - 821244.95310545531. Let i = -821314 - q. Let t = -69 - i. Round t to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) -4\/5 (c) 64 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -78 and -0.3915?\nAnswer: 30.537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 0)\/(7 + -1). Let g = -1.9 + 2. Is g at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11*0.06\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 6:32 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 894?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - (2635\/(2 + 3) - 5). Let b be (h\/(-12) - -10)\/((-4)\/1). Which is smaller: -12 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16103, -18107, -21447, -26123, -32135?\nAnswer: -39483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -8. Let q be (-6)\/(-10)*(-1)\/3. Let o = 0.81 - 0.41. Sort z, o, q in increasing order.\nAnswer: z, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -3\/7 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 16 = z, -12*z + 24 = -3*p - 7*z. Let i be ((-2)\/p)\/((-5)\/20). Sort i, -5, 1 in descending order.\nAnswer: 1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-55)\/102 - (-6)\/12. Let s = r - 43\/204. Let z be (-37)\/13 - 62\/403. What is the third smallest value in 2\/9, z, s?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -1, 14.\nAnswer: -4, -2, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**5*z - 84*s**4*z - 2*s**2*z - 287*s*z - s + 3*z wrt s.\nAnswer: 40*s**3*z - 1008*s**2*z - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-6)*2)\/((-1)\/(-33)). Let d(v) = v**2 + 18*v - 75. Let y be d(n). Suppose -4*t = 45 - y. Is -27\/4 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 2*b**2 + 1. Let v be t(-2). Suppose q + v + 0 = -2*w, -5*q + 3*w + 21 = 0. Let o be (2*9\/q)\/2. Solve -y = 8 - o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5019868 divided by 2509934?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 136998453 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 479 divide 598475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -16\/109?\nAnswer: -16\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 2*w - 6 = -3*g - 6, 3*g + 3*w = 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 145498*h**4 - 2*h - 29772 wrt h.\nAnswer: 1745976*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -m**4\/4 + 2*m - 2. Let h(b) = -8*b**3 + 17. Suppose -4*u + 2*i - 20 = 0, -2*u = 2*i + 3*i + 22. What is u*h(z) + 51*x(z)?\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 5*k - 75. Let c be z(-6). Let d be (c\/(-3))\/((-57)\/(-1615)). Calculate the highest common divisor of d and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -41976, -83933, -125890, -167847?\n\"Answer: -41957*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 72 = -4*o, -x - 3*x = 3*o - 76. Suppose m - 7 - o = -c, 0 = 5*c + 5. What is the first derivative of u**4 + 2 + m*u**2 - 28*u**2 wrt u?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3281244 and 12513.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117313, 20, -4 in decreasing order.\nAnswer: 117313, 20, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1244610*y - 16. Let d(r) = -2*r**2. Determine b(d(h)).\nAnswer: -2489220*h**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 22*n**2 - 30*n + 219. Determine f(21).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000774677 rounded to 7 dps?\nAnswer: -0.0000775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 392, 4362, 15630, 37844, 74652?\nAnswer: 129702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 76*b**2 + b - 2. List the prime factors of l(1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8392 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -6*((-357)\/(-34) - 12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 566257 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: Let g be 2 + 3 + 5 + 21\/(-2). What is the closest to -1\/4 in -1\/3, g, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*(sqrt(171) - (1 + (sqrt(171) - -1*sqrt(171)))))**2.\nAnswer: 2400*sqrt(19) + 68800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664 = -3*a + 5*a + 640 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1651?\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s**2 - 39*s - 11. Determine u(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 24. Let a be (y - (-903)\/12) + 3\/4. Suppose -a = -3*o - o. Is o >= 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92.4 - -87.4. Sort 0.5, -1, k, 0 in ascending order.\nAnswer: k, -1, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*q**2 - 55*q**3 + 31*q**3 - 58*q**3 - 111*q**3 + 191*q**3.\nAnswer: -2*q**3 - 43*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -762 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*w - 6, 3*n + 0*n = w - 3. What are the prime factors of (w + 4)*(-11)\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6135)\/40)\/((3 - 0)\/12). Let p = k + 640. Find the common denominator of 310\/(-4)*(-2)\/20 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 15 = 2*d, 0 = x - 2*d - 26. Let j = -17 + x. What is the tens digit of ((24 + -3)*-1)\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 23794.86 litres?\nAnswer: 23794860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, l: 5, k: 3, o: 1, a: 4}. What is prob of sequence ko?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705*w = -2*m - 707*w - 2, 0 = -w + w + 3*w + 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 19103d (base 14) to base 3\nAnswer: 1200000212102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39115 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51 - 1?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4088287537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-21) - (-24903)\/63. Calculate the remainder when 71 is divided by (-4)\/5 - y\/(-25).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 548 + -380. Suppose 8*a - u = a. Suppose 1 = 5*r - a. Solve -r*n + 2*n - 9 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*x + 25. Let p = x + -45. Let l = -19 - p. Which is the second biggest value? (a) -0.1 (b) l (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -169209038*t**4 + 4733613202*t**3 - 46845371286*t**2 + 185940624870*t - 219661325604.\nAnswer: -2*(t - 2)*(439*t - 3801)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ennb when four letters picked without replacement from bttrreennubr.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(68) + -3)*-5)**2.\nAnswer: -300*sqrt(17) + 1925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 + 45 - (-11 - 3)) + -21?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*6)\/((-12)\/10656*-37*8\/3).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2278000169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91919342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-1 + (-3 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1673\/946 - 35\/43. Let b = -12819\/10 - -1285. What is the common denominator of b and n?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.74728 nanograms to micrograms.\nAnswer: 0.02174728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 7.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**3 - q**2 - 3*q**3 + 3*q**2 + 4 + 4*q**2. Let o be v(-6). Solve 0 = -0*i - o*i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h**2 - 2 + 2 - 2*h - 12*h**2. Let m(q) = 5*q**2 + 3*q. Let c(j) = -4*b(j) - 3*m(j). Calculate c(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2274653687 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 3*k - 8 = 0, 0 = -2*v - 3*k + 22 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 222727 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 - -16.6. What is the third smallest value in -1, r, -0.2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1201580*-4.\nAnswer: -4806320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -876891 + 876939.99903. Let t = 49 - w. What is t rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 - -2634?\nAnswer: 2649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 264 + -183. Calculate the remainder when 563 is divided by k.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1557*s**6 - 56*s**2 + 2.\nAnswer: -186840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.09, 0.04, -5.4511, 0.05 in increasing order.\nAnswer: -5.4511, -4, 0.04, 0.05, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -81*i**2*s**3 - 86*i**2*s**2 + i**2 + 197*i*s**3 + 8*i*s + 2*s**2 wrt s.\nAnswer: -486*i**2 + 1182*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -188588147 and 4.44.\nAnswer: -188588142.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -203479\/8 + 25435. Let n be (-10)\/(-25) - 1\/(-2). Which is smaller: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -48\/7, 1, -1, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 524915713 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.4 + 2.43. Let k = 17.03 - h. Does -2\/7 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/6 and 131\/2166.\nAnswer: 2166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwqwwwqqqqwqqqz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -643, 0.132, -0.1, 0.3, -45 in ascending order.\nAnswer: -643, -45, -0.1, 0.132, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -54 - -4880?\nAnswer: 4827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-2)\/z)**(-2\/13)*((z\/(z*z**(1\/13)))\/z)\/(z\/(z*z**(1\/4)\/z)) assuming z is positive.\nAnswer: z**(-87\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c + 4. Let x be i(0). Suppose x*u = 5*u - 8. What is the remainder when 22 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-48)\/264 - 4878\/(-7590). Which is greater: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 403\/450 + -134\/225. Let s(f) be the second derivative of -7\/2*f**2 + 0 - 16*f + 0*f**3 + 0*f**5 - q*f**6 + 0*f**4. Differentiate s(i) with respect to i.\nAnswer: -36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 - 13*r**2 + 9*r - 9. Let d be a(6). Solve -23*x + 15*x + 3*x**2 + d*x**2 - x**3 - 2*x - x**3 = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 - 1190*h**3 + 2*h**4 + 593*h**3 + 55*h + 595*h**3 to the form y*h**2 + q*h**4 + z*h + r*h**3 + s and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of (-8 - (-8)\/6)*-144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**2 + 22329830*s - 24931065391445 = 0?\nAnswer: 2232983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s - 2*s**2 - 2*s + 4*s + 9*s**3 - 2*s as h + q*s**3 + o*s**2 + w*s and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/3 - 74314*n**2\/3.\nAnswer: -n**2*(n + 74314)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 34?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 277716851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/8 + (-31)\/124. Put q, 3, 0.5, -0.13 in decreasing order.\nAnswer: 3, q, 0.5, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/6 and -19\/531?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+1674\nAnswer: 1674.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22979898 or -22979922?\nAnswer: -22979922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*g - 44*g - 96 = 0. Let o(j) = j + 1. Let n(c) = 20*c**2 - 24*c + 5. Let l(d) = 7*d**2 - 8*d + 2. Let r(y) = 17*l(y) - 6*n(y). Give g*o(k) - r(k).\nAnswer: k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 784 - 1344. Suppose -5*s = 13 - 3. Is j\/(-24)*(-3)\/s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -807*c*u - 105*c - 899*u + 15 wrt c.\nAnswer: -807*u - 105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b608 (base 15) to base 3.\nAnswer: 11112020022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, 23, -21, 0.\nAnswer: -21, 0, 2, 7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17889822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f - 20 - 7 = 9. Let o(h) = 1. Let c(m) = 6*m**3 - m**2 - 2*m - 5. Calculate f*c(y) - 5*o(y).\nAnswer: -6*y**3 + y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10385010?\nAnswer: 2, 3, 5, 12821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.391374 nanometers to millimeters.\nAnswer: 0.000000391374","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 21*l = -40. Calculate the smallest common multiple of l and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 + 160 = -3*n. Let a(x) = -94*x**2 + 262*x**2 - 92*x**n + x - 95*x**2. Give a(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 29705?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 8:21 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 19*a + 9 + 3.\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37 - (4 + -2)) + (39 - (-37 + 75)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3 - 89543782*k**2 - 89543776*k + 179087560 = 0.\nAnswer: -44771890, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 21*w - 13*w. Let f(q) = w*q + 22*q - 50*q + 13. What is the units digit of f(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17, -38, -65, -98, -137?\n\"Answer: -3*o**2 - 12*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305466?\nAnswer: 2, 3, 7, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.04 and -1040437119.\nAnswer: -1040437119.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4452 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(475) + -1 + 3))**2.\nAnswer: 360*sqrt(19) + 17136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5675668 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -1\/12*i**4 + i**3 - i + 2*i**2 + 0. Determine d(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27258 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_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: What is -0.8889 rounded to 2 decimal places?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -5*w**2 + 225*w + 28280 = 0.\nAnswer: -56, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**3 - 663438*j + 331725*j + 331713*j.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2149 - -3894. List the prime factors of i.\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/2)\/(6 - 3). Suppose 0 = 2*k + 3*k - 10, 2*f = -2*k - 300. Let v be f\/(-6) + 2\/(-6). Solve 4*n + n + v = m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36.6 * -36.\nAnswer: -1317.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(((k*k\/k**9)\/k)\/k*k)\/k*k)\/(k*k**(-6)*k)*(k\/(k*k**(-2)\/k))**(-32) assuming k is positive.\nAnswer: k**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = 2*k + 163. Let i = 39 - k. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 0, -7 = 4*i - c + 5. Let b = 13 + i. What is the least common multiple of 8 and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 3*r**2 + 3*r - 6. Let o = -24 - -24. Suppose -6*v - v + 140 = o. What is the smallest common multiple of w(4) and v?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147649 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1692?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/6 - 947*q**3\/3 - 13160*q**2\/3.\nAnswer: -q**2*(q + 14)*(q + 1880)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 8*v + 7. Is 2 a factor of k(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80\/81819643 + -16631713005751\/327278572. Let q = 50819 + m. Let h = q - 1\/29. Which is the third smallest value? (a) h (b) 0.2 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 13860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c + 104. Let i be y(-23). Suppose 3*s - 15 = -5*m, -i*s = -16*s - 4*m + 12. Factor -w + s + 0*w**3 - 1\/2*w**4 + 3\/2*w**2.\nAnswer: -w*(w - 1)**2*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**2 - 952*k - 19208. Let w(d) = 3*d**2 + 635*d + 12805. Let z(o) = 5*r(o) + 8*w(o). Factor z(x).\nAnswer: 4*(x + 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 549913 - 2*b**3 - 1099831 + 549918.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -138?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) - sqrt(135)*3 - sqrt(135)\/(sqrt(9)*-2))\/(-3*-2*sqrt(180))*6)**2.\nAnswer: 121\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 1)*(n + 2*n - 6*n) + 12*n + 6 - 10 + 6.\nAnswer: 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 532 and 1392510.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -17*m - 5*m + 18*m + 1. Let u(j) = -3 + j**2 - j**2 - j**3 + 2*j + 3*j**2. Let f be u(4). Let s(w) = 21*w - 6. What is f*n(r) - 2*s(r)?\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6680 divided by -1336.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -322300 + 13?\nAnswer: -322221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1173?\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/231 (b) -0.056 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00112994 to five dps.\nAnswer: 0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17620.1 or -0.3?\nAnswer: 17620.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 21*z - 3. Let o(q) = 10*q - 1. Let d(p) = 13*o(p) - 6*w(p). What is the tens digit of d(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 241691 + -725072\/3. Determine f, given that 0 + 3*f**3 + 4*f - 20\/3*f**2 - w*f**4 = 0.\nAnswer: 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(70\/(-18)))\/(-18*2\/(-24)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 79*q**2. Let x(u) = -55 + 31 - 4*u + 13 + 11. Determine x(r(t)).\nAnswer: -316*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1532 divided by -3828.\nAnswer: 383\/957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -544005 - 5?\nAnswer: -544013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -53 times 13\nAnswer: -689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 224333 (base 6) to base 9\nAnswer: 28223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*d + 8*d + 369. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, x: 11}. Give prob of picking 3 e.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -19*p + 610. What is the remainder when 125 is divided by b(31)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -12814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/27)\/((-22)\/(-9)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14c36 (base 14) to base 16\nAnswer: ca50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 698 in decreasing order.\nAnswer: 698, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 times 2410680\nAnswer: 3616020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -32648626 divided by -36\nAnswer: 16324313\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 5:36 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-108))\/((-5)\/4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112233?\nAnswer: 3, 11, 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**2 + f**3 - 4*f**2 + 65*f**2 - 13*f**3 - 65*f**2 + (4*f + 0*f - 3*f)*(-59*f**2 - 146 + 146).\nAnswer: -71*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2033394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - y**2 + y + 15. Suppose -10 = -4*v - 2*d, v + 5*d = d + 20. Determine f(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 - -45. Let g(y) = -2*y**3 - y**2 - 6. Let r be g(t). What is the greatest common divisor of 65 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-30)*(-723)\/1928*(-5)\/(-12).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*d + 63. Suppose 5*r = 5*a + 85, -2*a = -3*r + d + 30. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**2 - 4*a - 6. Let h be l(-4). Let f = 107 - h. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5380 - -9808. Suppose 7*o = 3*o + p. Suppose 2*w = 5*x + o, 4*w - x = 4*x + 2189. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 184*x + 3986. Let p be h(22). Solve p = 15*g + 347 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2692*m + 151. What is the ten thousands digit of g(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2609317, -5218716, -7828115, -10437514, -13046913, -15656312?\n\"Answer: -2609399*d + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0768 and -0.0677?\nAnswer: -0.00519936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/150 and -161\/60?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 40*k**2. Let h(i) = -10*i + 6. Let b(s) = 8*s - 5. Let q(c) = -6*b(c) - 5*h(c). Calculate q(w(m)).\nAnswer: 80*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -7.5. Which is smaller: y or 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55372 or -2.8?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 2\/3 (b) 6 (c) -0.134 (d) -0.4 (e) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 10 - 1) + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5b4a (base 16) to base 8\nAnswer: 55512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -10*k. Suppose 0 = 7*i - 6*i - 5. Suppose i*c + 30 = -5*n, 3*c + 18 = -5*n - 6. List the prime factors of a(n).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92 - 38*l**3 + 113*l**3 + 92 - 30*l**3 - 32*l**3.\nAnswer: 13*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*d = -x + 569, 3*d = 2*x - 1140. Suppose 3*z + 0*s - x = 3*s, 2*s = -z + 201. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-214)\/(-14) + 18\/(-63). Suppose k = -k + 5*u + z, 0 = -2*k - 2*u - 6. Solve -2*t + t + 5 = k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - z = -3*b - 16, -3*z - 28 = -4*b. Let k be (b\/(-6))\/((-2)\/(-12)*4). Let g(a) = -42*a. What is the tens digit of g(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-345)\/(-180))\/(6*-1) + 21\/56?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79326820, 158653640, 237980460, 317307280?\nAnswer: 396634100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2663.349 and -0.1160704?\nAnswer: 2663.4650704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -422\/3*l**2 - 260\/3*l - 44\/3*l**3 + 0 + 2*l**4 = 0. Calculate l.\nAnswer: -5, -2\/3, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/9908740 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q + 2*q**2 - 8*q + q + 2 + 4*q. Calculate the remainder when 68 is divided by j(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 13*n + 9. What is c(-10)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3751850 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 6) to base 11\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 s when two letters picked without replacement from {f: 11, o: 3, q: 5, s: 1}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 + 54. Suppose -q + 3*z - 5 + 2 = 0, 2 = -q + u*z. Suppose 4*l - 17538 = -2*f, 2*l + q*f - 8773 = 3*f. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 2*t + 2. Let w be s(-2). Let r be 1\/(9\/w + -1). Suppose 3600 = r*m - 4*m. Round m to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 7*f**2 - 8*f + 3. Let l be o(-8). Suppose 15 = l*m - 3*y, 0 = -4*m + 3*y - y + 10. Solve 2\/7*q**2 + 0*q - 4\/7*q**3 + m + 2\/7*q**4 = 0 for q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 45, 137, 255, 411, 617, 885, 1227?\n\"Answer: 2*a**3 + a**2 + 75*a - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*f - 22 = r, -3*r = f - 10. Suppose -r*t = 3*j + 5, j = -5*t - 0 + 7. Let o be (-42)\/(-8) - t\/8. Calculate the highest common divisor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a centimeter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -11*j + 180. Solve -6*q + 2*q + j = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4211611133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 6*c - 3. Let v be t(5). Let a(l) be the second derivative of 0*l**3 + 0*l**v + 0 - 1\/42*l**4 - l. Factor a(z).\nAnswer: -2*z**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52*g**3*t + 7*g**2 - 16*g*t - g + 41136*t wrt g?\nAnswer: -156*g**2*t + 14*g - 16*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from gzmzzzzpgmnss.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**9\/75600 + s**8\/16800 - s**7\/12600 - s**4\/8 - 15*s**2. Let w(n) be the second derivative of h(n). Solve w(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12247 is divided by 532.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 + 31*c\/4 + 117\/4.\nAnswer: (c + 9)*(2*c + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 3*v - 18, 9*b - v = 7*b + 11 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (165\/10)\/(-11)*(-66)\/9. Is c at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1854*s - 947*s - 902*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 139275932 rounded to the nearest 100000?\nAnswer: 139300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 3 (b) 2\/107 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 808212 by -50.\nAnswer: -404106\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 224*t**3 - t**2 - 15*t - 11. What is i(-1)?\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 982238213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25090568 divided by 2606.\nAnswer: -9628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58181965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*b + 9 + 36 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - r**2 - 777*r**3 + 2*r**4 + 777*r**3 in the form o + u*r**4 + j*r + p*r**2 + v*r**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3886894153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 + 51. Let k be (4 + -3)*-3*z\/(-6). What is the second biggest value in k, -51\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1260) - sqrt(1260) - sqrt(175)\/sqrt(5)*-5)\/((-2*sqrt(6776) + sqrt(6776))\/(sqrt(16)\/(1*sqrt(2)))).\nAnswer: 19*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 537, 3666, 12007, 28158, 54717, 94282, 149451?\n\"Answer: 433*d**3 + 8*d**2 + 74*d + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9)*1)\/1*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1aae (base 16) to base 4.\nAnswer: 1222232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 35 = -5*n + 4*n, -1 = 3*q + 5*n. Calculate the remainder when 26 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -337\nAnswer: -101.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.19 - -0.11. Let n = u - 1.3. Let q = -24\/35 + 3\/35. What is the biggest value in -0.1, n, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**3\/2 + 73*v**2\/2 - 293827*v - 587796 = 0.\nAnswer: -803, -2, 732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 7*c**2 + 2. Let b = -64 - -57. Let d be z(b). Solve 5*k = -s - 4 - d, -2*k - s = 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/8)*v\/v**7*v**(-2)\/v**(-2\/11))**(-1\/47) assuming v is positive.\nAnswer: v**(677\/4136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**4\/12 + 11*p**3\/6 + 13*p**2\/2 - 3*p. Let m be a(-10). Factor -7*k**4 + 3*k**4 + 2*k - 4*k**m - 2*k**3.\nAnswer: -2*k*(k + 1)**2*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/5 - 4242*k\/5 - 29596\/5.\nAnswer: -2*(k + 7)*(k + 2114)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/3*36\/(-4). Does 32 divide (-4 + i)*(-210)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11579851 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 6*f - 32. What is the remainder when f is divided by (1*-11 - 0)\/(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((12\/(-40))\/3). Let l(v) = 966*v**3 + v**2 + 9*v - 5. Let n be l(t). Let y = -2686185 + n. What is y rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2236989 is divided by 52023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 10:59 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7800?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 11*r**3 - 9*r**2 - 9*r + 15. Let c(l) = 3*l**3 - 2*l**2 - 2*l + 4. Give -9*c(d) + 2*n(d).\nAnswer: -5*d**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -39, -92, -181, -306, -467, -664?\n\"Answer: -18*a**2 + a - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/7 - 11*y**3 + 1441*y**2\/7 + 1677*y\/7 - 3042\/7.\nAnswer: (y - 39)**2*(y - 1)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p + 8*p)*(-2 - 2 + 2)*(1 - 8 - 4)*(-2 + 3 - 3) + (0 + 1 - 3)*(p + 2 - 2).\nAnswer: -266*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (45\/6)\/(12\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 = q - 6*q, 0 = -3*f + 12. Suppose 5*s - 13 = -2*z + 17, q = 4*z + 3*s - 46. Calculate the remainder when 58 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70*v**5 + 2*v**3 + 24*v**2 + v + 185305?\nAnswer: 1400*v**3 + 12*v + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbs when three letters picked without replacement from {b: 11, s: 5}.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 15*i**2 + i + 13. Calculate d(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*(-34)\/(-187) + (0 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 9*f + 2. Let l(o) = 2*o - 10. Let g be l(8). Let w be (-1)\/(-6) + 17\/g. Let y(i) = 9*i + 3. Let p(z) = w*k(z) - 4*y(z). Factor p(d).\nAnswer: -3*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101111 - -12?\nAnswer: -101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 3*g + 176 = 221, 3*j + 5*g - 47 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -90*k - 3. Let b = 6 + -8. Is z(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 353 - 327. Let w be ((-8)\/(-6))\/((-8)\/(-156)). Is w smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*c*n*p - 7*c*n + 3*c*p**2 + c*p - 2*n*p - 17*p**2 + 76 with respect to c.\nAnswer: -13*n*p - 7*n + 3*p**2 + p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 = 14. Suppose 7*y = 6*y + b. Solve 15 = -y*f, 0*u = -u + 3*f + 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/55 in 1\/19, 3\/2, -42, 1, -0.01, -1\/4?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 123693\/13?\nAnswer: 123693\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 2:24 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/24106 and 69\/8.\nAnswer: 96424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*sqrt(1008).\nAnswer: 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3851637329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*d + 5*d**3 + 1\/4*d**4 + 63\/2*d**2 + 297\/4 = 0. What is d?\nAnswer: -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(5 + 210\/(-20) + 6). Solve -p*r + w - 4 = 5*w, r + 4*w - 8 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (200\/(-16))\/(3\/(-6)). Suppose -s*k + 34*k = 27. Sort -59, 0, k, -1 in decreasing order.\nAnswer: k, 0, -1, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -321\/1670?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, 263, 811, 1501, 2291, 3139, 4003, 4841?\nAnswer: 5611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1661 = -m, 5*n - 2*m - 2795 = 3*m. Suppose -2*j - 1105 = -r, -5*r + 4*j = -n - 4952. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -15*x**2. Let w(p) = -p - 3. What is h(w(s))?\nAnswer: -15*s**2 - 90*s - 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*p - 18094 = 5*p - 5*p. Let w(i) = -27*i + 1. What is the remainder when p is divided by w(-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*s + 8, -w = -4*s + 4*w + 30. Suppose 0 = -s*i + 4*r - 19, -r = -3*i + 2*r - 12. Is -5 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5283, -5278, -5269, -5256, -5239, -5218, -5193?\n\"Answer: 2*h**2 - h - 5284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + x**2 - x + 1. Let k(j) = j**3 - 8*j**2 - 2*j - 5. Let q(o) = k(o) + 2*p(o). Let a be q(-4). Is a\/(-5) + (-6)\/(-30) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 4*i + 2. Let h = 140 - 131. Let y(b) = 2*b**2 + 9*b - 5. What is h*g(s) + 4*y(s)?\nAnswer: -s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 178752?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 167218*r**5 - r**2*t**2 - 32*r - 48044*t**2 wrt r?\nAnswer: 3344360*r**3 - 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104 + 34222?\nAnswer: 34114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -871279 or -871171?\nAnswer: -871279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 134.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 412 + 171*q**3 - 268*q**3 + q.\nAnswer: -97*q**3 + 412","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence isii when four letters picked without replacement from ississeiiisiisiisii.\nAnswer: 385\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 3, h: 9, z: 2, m: 1, a: 2}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2*j**3 + 19500*g**2*j - 2*g**2 - 264972*g*j**3 wrt g.\nAnswer: -4*j**3 + 39000*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 188 and 87514.\nAnswer: 175028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 142 - 137. Let x(s) = 2*s**2 - 11*s + 5. Let z be x(k). Let i(m) = 23. Let c(n) = -n**2 + n - 1. Let v(b) = -c(b) - i(b). What is v(z)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 0 + 0*s**2 + 0*s**3 - 9*s + 9\/20*s**5 + 1\/2*s**4. Find the third derivative of m(v) wrt v.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z + 2*z - 3*z. Let v(m) = 6*m - 2. Let s(i) = 31*i - 11. Let t(n) = 2*s(n) - 11*v(n). Calculate t(l(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o - 69 = 0. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/8 - 1)*0. Let w = 5 - o. Calculate the remainder when 15 - (3 + 1)\/2 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -1) + 8\/4. Let x(m) = 2*m - v*m + 0*m + 10. Is x(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m**2 - 37*m + 5. Determine o(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5 = 5*n, 5*s - s - 4 = 4*n. Solve 0*h + 3*j - 12 = 5*h, s = 5*h + 2*j - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**2 + 40. Let v(b) = 1. Let o(z) = -3*f(z) + 120*v(z). Let d(p) be the first derivative of 2*p**3\/3 + 80. Determine o(d(j)).\nAnswer: -60*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 6. Let t(h) = h**3 - 12*h**2 + 20*h - 7. Let g be t(10). Determine z(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z**2 + 22*z + 2*z**2 + 3*z**2 + 3*z**2. Let p(l) = 6*l. What is n(p(j))?\nAnswer: 108*j**2 + 132*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(-3)\/9 + 2. Let q be ((-16)\/8)\/(r\/(-39)). Let v = 60 + q. Calculate the greatest common divisor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 6*j - 2 + 0*j - 5*j. Let n(c) = 4*c**3 + c**2 - 4*c + 7. Calculate -7*k(s) - 2*n(s).\nAnswer: -s**3 - 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 16 = -4*z, -38*z = -35*z - 3*l + 42 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -4. Suppose o = -f - q*o + 34, -4*f + 2*o + 26 = 0. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -265414.6 rounded to the nearest 1000?\nAnswer: -265000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1452 - 3948 = -30*x. Is 6\/(((-138)\/x)\/(-23)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-70)\/140)\/((-2)\/(-5)). Which is the nearest to 2\/7? (a) -0.5 (b) -6 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*t + 14*t + 8*t + 7*t + 9*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6*w + 4*g + 744988 = 0, 3*w + 446997 = -g. What is w rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r + 4*r**2 + 0*r**2 - r**2 - 6 - 4*r**2. Calculate v(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(9\/4)*p\/((p\/(((p\/(p\/(p*p\/p**10*p)))\/p)\/p))\/p) assuming p is positive.\nAnswer: p**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -k + 3*k + u, 0 = -41*k + 42*k - 6*u + 22 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9734 and 310.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*2 + (3 + -3511)*(-1 + -9) a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125097 and 2550891.\nAnswer: 5439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3747912 less than 0.04509?\nAnswer: -3747911.95491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17110?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 420.1531ml to litres.\nAnswer: 0.4201531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = 6*y - 3*y. Let n = 133 + y. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 306\/255*(-5)\/(-3). Let w(i) = -2*i**3 - 4*i**2 + 5*i + 14. Let z be w(-2). Put z, b, 24 in increasing order.\nAnswer: b, z, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q**3 - q + 2. Let r(c) = -13*c**3 - 2*c + 4. Suppose 5*w - 27 - 3 = 0. Calculate w*r(b) - 11*h(b).\nAnswer: -b**3 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 2)*2\/6. Suppose 4*v - 5*t = 68, -4*t = 2*v - y*v - 8. What is the highest common factor of 84 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 10*d**2 - d + 5. Give u(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 15, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3309467\/4 - -16449961\/20. Let o = -4864 - f. What is the common denominator of o and -67\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-4 + 3)*1 + 0. Solve r = 4*i + 3*b + 18, 0 = -i + 3*b + 4 - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/(345\/(-10)))\/((-441)\/(-27))?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -0.0049?\nAnswer: -0.3951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and 58052.\nAnswer: -812728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 u when three letters picked without replacement from {r: 2, u: 11}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, -139, -912, -2437, -4966, -8751?\nAnswer: -14044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 23*m = 27*m - 36, 5*w + 2*m = 33 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9499369223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -4*w**7\/105 - w**6\/10 - w**5\/15 - 212*w**2. Factor j(p).\nAnswer: -4*p**2*(p + 1)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.2714 decades in centuries?\nAnswer: 5.32714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 21*w + 1. Suppose 3*p + 3*b = -39, 0 = -2*b + 1 + 5. Let l be q(p). Calculate the highest common factor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 + 0.12. Let j be 0 + ((-351)\/60)\/(-9). Let n = j - 2\/5. Sort n, -1, q in increasing order.\nAnswer: -1, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.1 + -13.9. Let h = 409 - 408.71. Put -0.1, h, b, 2 in ascending order.\nAnswer: -0.1, b, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-290)\/60)\/29)\/(1\/4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r - 13. Let i be j(-5). Let k(x) = -2*x**2. Let p(a) = -2*a**2 - 1 + 1. Let h(z) = i*p(z) - k(z). Let o(w) = 2*w. Determine h(o(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -5835 to the nearest one hundred.\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b**2 - 6*b + 7. Let q(j) = 12*j**2 + 11*j - 13. Let r(x) = -11*l(x) - 6*q(x). Suppose 7*a - 2 - 5 = 0. Give r(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -31. Suppose 4*z + 24 = 3*w, 3*w - 5*w = -z - j. Find the third derivative of -5*n**2 + 128*n**4 - 128*n**w - 5*n**6 wrt n.\nAnswer: -600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81530735 to the nearest one million.\nAnswer: 82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 2:06 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.17 plus -0.23?\nAnswer: 1.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*l = 168, -3*w + l - 304 - 200 = 0. Let v be -2 + -4 + w\/(-16). Factor 0 + 0*a - 3*a**2 + v*a**4 + 3\/2*a**3.\nAnswer: 3*a**2*(a + 1)*(3*a - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.057909 + -0.0582. What is x rounded to five dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 29*l**2 + 2*l + 61. Let d be h(-29). Solve 2*o + 4 = 0, 2*q + 2 = -d*q - o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 15 = -3*c, -2*k + 3*c = 19. Let u be 5*(4\/k)\/(-2). Solve -i**2 - u*i + 0*i + 5*i**2 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4413181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -368*c*g**4 + 15158*c*g**2 - 4*g**4 - 44321*g**3 - 1196 wrt g.\nAnswer: -8832*c*g - 96*g - 265926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1827947 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629545 is divided by 2322?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 460968\/12 + (-32 - -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 16. Solve -5*l + 0 - 1 = 3*y, l - 5 = w*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494926 + 494926 - 10*f**2 - 2*f.\nAnswer: -10*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 - -0.11. Let n = 1.8 + 14.2. Let g = -18 + n. Put w, g, -0.4 in increasing order.\nAnswer: g, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*j - 44*j - 11*j**3 + (2*j**2 + 0*j**2 + 0*j**2)*(2*j - j - 2*j)*(-4 + 1 + 1).\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from {m: 3, h: 1, d: 7, y: 1, w: 4}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 2*u - 7\/6*u**3 + 1\/2*u**4 + u**2 + 0 + 1\/20*u**5. Determine p(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 2332210331311?\nAnswer: 2332210331313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67b5 (base 16) to base 8.\nAnswer: -63665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.33348 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000022999607 rounded to seven dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 1421*m**4\/8 - 52626*m**3 + 535223*m**2\/8 - 14307*m - 295\/2 = 0?\nAnswer: -2\/203, 2\/7, 1, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (274*l**2 - 541*l**3 - 274*l**2)*(1 - 4 + 2)*(10*l - 7*l + 9*l)*(0 + 1 - 3).\nAnswer: -12984*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1754\/6)\/(((-4)\/(-18))\/((-56)\/(-21)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 4528*a**2 - 224 + a**3 + 9071*a**2 - 4539*a**2 to o*a**2 + x + m*a**3 + s*a and give x.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*y**2 - 2\/5*y + 0.\nAnswer: -2*y*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -155 - -151. What is the second biggest value in 0, 0.9, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -1265.1.\nAnswer: -5060.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*m - 9*m - 3, -4*n - m = 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 574 = -418. Suppose 58*k + 512 = b*k. Calculate the greatest common factor of k and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -65 + 9*g + 65 + (0 - 1 - 1)*(-4*g + g + 6*g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-6)*72\/(-8). Let k = 16 - 17. Sort k, 7, p.\nAnswer: p, k, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.7 (b) -2\/9 (c) 169\/5 (d) -0.5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*g**3 - 147*g**2 + 465*g + 171.\nAnswer: -3*(g - 3)*(g + 19)*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**4 + x**4 + 6*x**4)*(1 + 0 + 0) - 34114*x**3 - 44*x**4 + 255*x**4 + 34111*x**3.\nAnswer: 215*x**4 - 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7*b**3 + 33*b**2 - 13*b + 10. What is v(6)?\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13693, 13692, 13691, 13690, 13689, 13688?\n\"Answer: -p + 13694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.2969 + 2.4969. Which is the second biggest value? (a) -4\/7 (b) 18.08 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 12:48 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45.5 - -45. What is the closest to -12 in -2\/5, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*v - 4*o, -v - 10 = -3*o. Let f = v - 27. Let y = f + 24. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**4 - 446*a**3 - 2649*a**2 - 3960*a = 0.\nAnswer: -440, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 2*f = -s - 172, -4*s + 236 = 5*f. Let d = -28 + f. Suppose 0 = -3*h + 15, -5*q + 3*h - 41 = -d. Put 5, q, -3 in ascending order.\nAnswer: -3, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-2)*-5*(-103080)\/(-46386)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 4*p)*(11*p + 32*p - 7*p)*(4*p**2 - p**2 - p**2) as i*p**2 + z + u*p + y*p**4 + k*p**3 and give y.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 710, 6, 0.3, 23, 4 in ascending order.\nAnswer: 0.3, 4, 5, 6, 23, 710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, d: 1, n: 1}. Give prob of picking 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11837317, -11837319, -11837321, -11837323, -11837325, -11837327?\n\"Answer: -2*i - 11837315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -479213 greater than 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**3\/6 + s. Let w(c) = 2*c**2 - 4*c + 1. Suppose -25*y - 9 = -22*y. Calculate y*h(t) - w(t).\nAnswer: -2*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*f - 8*f - 16200000. Round f to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10, 30, 86, 196, 378, 650?\n\"Answer: 3*l**3 - l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(-18) - (-5)\/(-3). What is the units digit of ((-1834)\/(-21) + 2)*j\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 11*k**2 + 19*k - 206. What is the thousands digit of o(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 451821134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**6\/3 - 6*p**5\/5 - p**4\/2 + 14*p**3\/3 - 8*p - 1081. Find a such that n(a) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 326373554?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -115*k - o - 338, 0*k + 21 = -3*k + 3*o - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 6*g**2 - 2*g + 7. Suppose -2*m = 2*m - 24. Suppose -m = -p - 0. Give a(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 144\/89? (a) 0.3 (b) -0.3 (c) 4 (d) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 999 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1264 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k - 12*b = 31*k - 15*b + 33, -30*b = -2*k - 330 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 657 and 288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 168 = -13*l. What is the remainder when 6 - 7 - (-1 - 61) is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1325168032 to the nearest integer?\nAnswer: 36403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -331 (base 8) to base 2\nAnswer: -11011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -17 - (1 + 7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (393*a**2 + 1170159 - 1170159)*(2 - 3 + 0)*(6*a**2 + 0*a**2 + 0*a**2) to the form p*a**4 + b + f*a**3 + k*a**2 + v*a and give p.\nAnswer: -2358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**9\/720 - 7*j**5\/60 + 9*j**4\/4 - 28*j. Let n(f) be the third derivative of t(f). Find the first derivative of n(x) wrt x.\nAnswer: -84*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/4*21)\/(13\/(-52)). Suppose 3*c = -3*k - y, -3*k = -0*k - 3*c + 15. Let l(f) = f + 5. Determine l(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -142*k**4 + 3*k**3 + 1747 wrt k.\nAnswer: -568*k**3 + 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1509371*x**3 + 6*x + 9422562 wrt x?\nAnswer: 4528113*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2146 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2790*v = -2*i - 2785*v + 32, 27*v - 26*v = 3*i - 22 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.005 + -9.995. Let w = -10.1 - v. Which is the nearest to w? (a) -3 (b) 3 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/17)\/(g\/g**2))\/(g*g**(2\/5)\/g)**(-5\/8) assuming g is positive.\nAnswer: g**(77\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 20*h + 220. Let j be u(8). What is the nearest to -1\/3 in 1, j, 2\/5, -6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 9) to base 6\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.06, 2, -5, -32?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20932 less than -476?\nAnswer: -476.20932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 85611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2036*f**3 - 804*f**2*t + 5865595*t with respect to f.\nAnswer: -6108*f**2 - 1608*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 0*w**3 + 9*w + 0*w**4 + 1\/10*w**5 + 8\/5*w**6 - 3 - 19\/2*w**2. Differentiate b(p) wrt p.\nAnswer: 192*p**3 + 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 18*d - 105. Suppose -3*a - 3*t = -0*t - 33, 56 = 4*a + t. What is the remainder when j(9) is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(75)*1 - (-2*sqrt(75) + sqrt(75))*-5)*3*1.\nAnswer: -135*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4334 = 3*f - 21185, 0 = -6*b - 5*f + 33710. What is the thousands digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11278, 11283, 11298, 11329, 11382?\nAnswer: 11463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 8:04 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1571239 is divided by 254.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 65 + -3?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**2 - 15*w + 3. Let c be m(-5). Factor -131*d - 15 + c*d**2 + 68*d + 51*d.\nAnswer: 3*(d - 5)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 452451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1213*5074.\nAnswer: -6154762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 35\/17622039?\nAnswer: 35\/17622039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((39\/14)\/3)\/(287\/((-150675)\/300))?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -823.\nAnswer: -823, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 110001100101 (base 2) in base 16?\nAnswer: c65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17246702*x**4 + x**3 + 2*x**2 - 67279*x.\nAnswer: -413920848*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 31 = 35. Find the third derivative of -8*i**o + 21 - 23*i**2 - 13*i**4 + 30*i**2 wrt i.\nAnswer: -312*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 10:00 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t - 7. Let s(y) = y**2 + y - 1. Let c(k) = -f(k) + s(k). Let w be c(-6). Let m = 9 - w. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 123 = 5*v - 3*z, -z - 112 = -4*v. Suppose 5*n - 438 = v. Is 27 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 534*f. Let p(q) = q. Give p(y(k)).\nAnswer: 534*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c0 - 70?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0, 3\/4, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11201951.\nAnswer: 11201951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 + 64*f**2 + 17*f**2 + 10*f**2 + 110*f**2.\nAnswer: 205*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((35\/(-10))\/(-1)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217427712.\nAnswer: 2, 3, 89, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*6\/9*-6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8828 is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 72624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rree when four letters picked without replacement from {r: 13, e: 6}?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/(x\/x**(2\/3)))**(-1\/28))**(-24\/5)\/((x**0)**(-3)\/(x\/x**(1\/3)*x*x*x\/(x\/x**3)*x)) assuming x is positive.\nAnswer: x**(748\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t. Let b(f) = -4*f**3 + 5*f - 9. Let q be (-50)\/(-4)*16\/(-20). Let k = q - -15. Let w(d) = k*h(d) - b(d). What is the derivative of w(n) wrt n?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 34. Suppose -f - y = -22, -5*y - 95 = -k*f - 16. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 492. Let g(r) = -164. Let d(y) = 3*g(y) - j(y). Let m be (-1 + 0)*-1 - -1. Let h(o) = -5*o**2 - 24*o**m + 4*o**2. Give d(h(p)).\nAnswer: 25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sop when three letters picked without replacement from esppeskssskoosqs?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*c = 1376, -3*y - c + 429 = -622. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 6:12 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 3*s + 7 = -12, 27 = -3*z + 4*s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -134332?\nAnswer: 134325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i + 161. Let w(m) = m - 1. Give n(b) + 4*w(b).\nAnswer: -2*b + 157","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5225\/285*5\/(-25)*3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 779219618 + -19.473?\nAnswer: 779219598.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 347 - 329. Suppose 55696 + 55292 = u*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/869, -2, 1\/6 in decreasing order.\nAnswer: 1\/6, -3\/869, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ac - -1?\nAnswer: -1ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1176124 is divided by 1176110?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*r, r = 5*r - q - 20. Suppose -8 = -0*b - r*b. Suppose 30 = -b*w + 5*w. Calculate the remainder when w is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 (base 15) in base 4?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18512\/49 - 2644\/7. What is the common denominator of -37\/70 and d?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c9b0 + -3?\nAnswer: -1c9b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 78\/4 + 15\/(-10). Suppose -25 = 13*w - z*w. What is the highest common divisor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 701*q + 149112.\nAnswer: -(q - 171)*(q + 872)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4*75\/(-140)*7\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and 45819.\nAnswer: -27491.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 231 - 5089\/22. Calculate the common denominator of -2 + (-3)\/42*-17 and t.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, i: 2, e: 2, w: 2, m: 4, s: 4}. What is prob of picking 1 p and 2 w?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2167, -1932, -1531, -952, -183?\nAnswer: 788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (5 + ((-2 - -6) + 0 - 10))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 10:23 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -12. Suppose -i - 3 + n = 0. Let 5*k - 3*k + 4 + k**2 - 3*k**i = 0. What is k?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 3*c - 10 - 22 = 0, -5*c + 20 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 22624\/(-784) + (-7 - (-528)\/77)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 24 + 9*s - 6*s - 10. Let o be j(-5). Let a be 17\/(-5) + o\/(-30) - -2. Sort -2, a, 0.1.\nAnswer: -2, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 14) to base 4\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ef when two letters picked without replacement from {e: 4, n: 2, f: 7}.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116910684 by -1452.\nAnswer: -80517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 14. Suppose -m*a + d + 120 = 0, -3*a = 4*d - 49 - 60. Is 1\/((-2)\/(-4)) + a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l - 2. Let h be r(-2). Suppose -4*s + 2*i + 1010 = 0, 3*s - 260 = h*s - 2*i. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*q = -q + 15, -z - 1 = 3*q. Suppose -3 = 2*m - z. Suppose 0 = -3*c + 24 - 6. Calculate the remainder when c is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3\/5 - 727*r**2\/5 + 656049*r\/5 + 131355 = 0. Calculate r.\nAnswer: -1251, -1, 525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 416634065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42899 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 10*a**2 - 38*a - 20. Determine m(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -4. Let s be m + 1 - 20\/(-9). Let k(f) = f**3 - 5*f**2 - 7*f + 7. Let d be k(6). Is d greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 23, 46, 93, 176, 307, 498?\n\"Answer: 2*a**3 + 9*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/2)\/((-4)\/40). Let k = -41 + 42. Let n(q) = -92*q - k + b*q + 1. Let p(o) = -6*o. Determine n(p(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1557*m**2. Let x(s) = -548844*s - s**2 + 548844*s. Determine b(x(y)).\nAnswer: -1557*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-102)\/510)\/(3\/(-15))*-94\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -943, -1989, -3227, -4753, -6663, -9053, -12019?\n\"Answer: -16*u**3 - 934*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 444 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 47*t**2. Suppose -60 = -2*a + 2*g, -4*a + 3*g - 6*g + 141 = 0. Let m(k) = -6 - 34*k**2 + 6 + a*k**2. Determine m(v(w)).\nAnswer: -2209*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66252, -132507, -198762?\nAnswer: -265017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 0*s**3 + 0*s + 5\/24*s**4 + 6*s**2 + 0. Let q(h) = -2*h**2. What is q(t(o))?\nAnswer: -50*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2603.4 + 2604. What is the closest to -2 in g, -2, 0, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480774 is divided by 48075.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 15)*3\/(-54)*((-1015)\/(-140) - 5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0. Let k(w) be the first derivative of -w**4\/4 - w**2\/2 - w + 152. Let p(o) = -2 - 38*o**3 + 5*o + 37*o**3 - 6*o - o**2. What is l*p(c) - 2*k(c)?\nAnswer: c**3 - c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 + 19 = 0. Let n = l + 139. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.781 take away -0.1?\nAnswer: -0.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520*o + 42066 = -647*o - 899*o for o.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -250529108*m**5 - 5*m**2 - 44974*m - 16?\nAnswer: -15031746480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/53)\/(p*p**(1\/35)\/p*p)*p**(1\/9)*p\/(p\/((p**(-19\/5)*p)\/p)) assuming p is positive.\nAnswer: p**(-79388\/16695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + ((5 + (sqrt(1700)*-3 - sqrt(1700)) + sqrt(1700) - sqrt(1700))*-6)**2*-1 + -1)*-5.\nAnswer: -72000*sqrt(17) + 4900475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, r: 4}. Give prob of sequence yr.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12312351 + 153?\nAnswer: -12312154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 143513?\nAnswer: 143512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 24*b**2 - 30*b - 50. Let l(a) = a**2 - a - 2. Let h(o) = 3*l(o) - n(o). What is the units digit of h(-26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10680 is divided by 1521.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -13 - (5 - -88 - 113)) + -23 + 2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 793*m + 301 + 2553 = -318 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -545 divided by 61830?\nAnswer: -109\/12366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 144 = 19*q. Calculate the remainder when 47 - -1 - 3\/3 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = h - 2*u - 3*u, 17 = -2*h - 5*u. Suppose 25*t = 27*t - h. Solve 3*g + 2*r + 7 = 0, 0*g + 4 = -t*g - 2*r for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2719, -5438, -8157, -10876, -13595, -16314?\nAnswer: -19033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 4\/9, 0.1, -182?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 467 - 463. Solve -2*s - 17 = 3*b, -9*s - 10 = b - i*s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11357210131 plus -0.86?\nAnswer: -11357210131.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(3 + -5 + 3). What are the prime factors of 3 + 10*(t + -3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9027 is divided by 170?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 3*f**2 + 4*f + 4. What is x(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 451013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**6\/360 - m**4\/12 + m**2. Let r(p) be the second derivative of t(p). Let v(i) = 2*i**2. Calculate v(r(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -432 and -301.84.\nAnswer: 130394.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 0, -0.1, -199413, 1\/6, 0.5, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3383755650 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 1, 14, 43, 94, 173, 286, 439?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -41*j**2 + 9219*j + 1353. What is p(225)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 6. Suppose 2*o + h - 3 = -o, -r*h - 11 = 2*o. Solve -p - 5*j = -12, j + 2 = o*j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1260108 + 0.126. What is z rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274275.\nAnswer: 3, 5, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69012*u**2 + 31346*u**2 + 13619*u**2.\nAnswer: 113977*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2. Let n = -9 - -8. Let k be d(n). Let g be -6*((-14)\/4 + k). What is the highest common factor of 105 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 255.1, -28, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -251, 2\/5, -20.95 in descending order.\nAnswer: 2\/5, -20.95, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 248*q**2 + 26*q - 44. Let k be b(2). What is the greatest common divisor of k and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000 - 11110000111011001?\nAnswer: -11110000111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 n when three letters picked without replacement from ppnnppnnnnpnnn?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**7\/105 + h**6\/25 - 3*h**5\/50 + h**4\/30 - 2*h - 15. Let u(a) be the first derivative of y(a). Factor u(f).\nAnswer: -2*f**2*(f - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - 238\/(-14) - 10. Let k(r) be the first derivative of 15 - 9\/46*r**v + 2\/115*r**5 + 18\/23*r**3 + 0*r - 27\/23*r**2. Factor k(n).\nAnswer: 2*n*(n - 3)**3\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/173 (b) 3\/2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 7. Let d be g(11). Calculate the highest common divisor of 92 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/3 - 74*o**2\/3 + 56*o.\nAnswer: 2*o*(o - 4)*(o - 3)*(o + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54 - -5?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8.2323*36\nAnswer: -296.3628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 34 = -5*c - 21, 4*g - 4*c = 116. What is g rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13347008, -13347007, -13347006?\n\"Answer: y - 13347009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -42239168+0.4302\nAnswer: -42239167.5698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 - v + 5)*(-4 + 5 - 3)*(-22 + 15 + 19) + (-2*v + v + 0*v)*(-1 + 6 - 14))*(2 - 8 + 2) to the form q*v + s and give q.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 786436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -120554 + 1?\nAnswer: -120553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/1297050 and 161\/2594100.\nAnswer: 2594100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*n + 15*n - 26*n - 5*n + 34*n + 16*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -b47?\nAnswer: -b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00201121 to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50264 by -824.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 6 = -7*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 2, g: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 5aa3a2?\nAnswer: 5aa3a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + (sqrt(570)\/(3*sqrt(810)))\/((6*(sqrt(192)*-2 - sqrt(192)) - sqrt(192)) + sqrt(192) + sqrt(192)) + 5.\nAnswer: -sqrt(19)\/3672 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(189) - sqrt(189)) + sqrt(189) - sqrt(1701)*-1)\/((3*sqrt(24)*2 - sqrt(24))\/(sqrt(40)\/(sqrt(20) - sqrt(5)))).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**2 - 2*g - 5. Suppose 2069*y = 2066*y - 9. What is a(y)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16352052 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/21)\/(8\/(-324)*18)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3347 - 1453. List the prime factors of f.\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 286.9358 centuries?\nAnswer: 2869.358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 292*b**4 - 91*b + 290*b**4 - 1 - 156*b to y*b**3 + a*b + v*b**2 + k*b**4 + j and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((77\/(-11))\/(-63))\/(28\/8988)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((5 - 12) + 4)\/1 + 23. Solve -k = -17*s + 12*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-10) - (-10)\/12. Which is the nearest to -2? (a) p (b) -5 (c) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7929470.\nAnswer: 2, 5, 29, 37, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -8*y**3 - 80*y**2 - 14*y - 18. Let a be p(-10). What is the greatest common divisor of a and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 1:29 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16300800 divided by -2\nAnswer: -8150400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -207100 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - (12 - (-31 + -7)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5535, 11071, 16607, 22143, 27679, 33215?\n\"Answer: 5536*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15967*c**3 + 6405*c**3 + 6407*c**3 + 3156*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 104*q - 175 - 1137 - 1656 = 0 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363787170?\nAnswer: 2, 3, 5, 31, 443, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -0.3, -0.1, 4371, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.034572271 to 3 dps.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41425, -41436, -41463, -41512, -41589?\nAnswer: -41700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -107*c + 6. Let p be m(-6). Suppose 3*u + 6*u = p. Suppose -19*g = -20*g + u. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -125\/8 - -97\/8. Calculate the common denominator of r and -93\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1. Let r be o + -1 + (-103)\/(-1). Let m = r + -39. Calculate the highest common divisor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 11:13 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 0 - 1 + y - 4. Suppose -6*l + 14 + 4 = 0. What is v(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3874 + 0?\nAnswer: 3874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -519 + 156 = -11*q. Let t = q - 7. What is the remainder when 75 is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, e: 2, f: 2}. Give prob of picking 1 f and 1 g.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**3*s + 12*c**2*s + 2*c*s**2 - 1020*s**2 with respect to c.\nAnswer: -6*c**2*s + 24*c*s + 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k. Let t(j) = 4*j. Let b(p) = -p. Suppose -4*d = -9 + 1. Let z(o) = d*t(o) + 10*b(o). Determine z(l(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 2508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - d + 1. Let q be l(3). Suppose -3*z + 12 = 4*x, 2*z - x - q = -4*x. Calculate the least common multiple of 4 and (3\/(-12))\/((-2)\/z).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/1 - 2\/(-2). Suppose -g + 3*g - 184 = c. Suppose g = 5*u - u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-3)*(-54)\/36?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 148 - 306 + 154 + 24*w. Let n(r) = r**2. Determine y(n(s)).\nAnswer: 24*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**2*f)**(3\/20)*f**(1\/7)\/((f\/(f\/f**4))\/f*f))**(10\/3) assuming f is positive.\nAnswer: f**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 300.2 minus 4120?\nAnswer: -3819.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 25 = -0*c - 4*c, 2*c + q = 13. Let x = 17 + -23. Let k be (-38)\/(-6) + (-4)\/x. Calculate the highest common divisor of k and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -3. Let k be (-3 + w - -4)*1. Suppose k*i - 116 + 17 = 0. What is the highest common factor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -da (base 14) to base 6\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5481 or -5591?\nAnswer: -5481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -5*a**4\/24 - 43*a**3\/6 + 2*a**2 - 55*a - 6. Let w be (-2)\/(((-2)\/(-11))\/1). What are the prime factors of g(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 135.6 + -136. Let n = 19.6 + 2.4. Let d = n - 22.2. Sort d, u, 1\/12 in descending order.\nAnswer: 1\/12, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (888\/28)\/((-30)\/(-7) + -4). Solve 4*g + t - 135 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -141819\/87487 - -144\/89. Is t at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1265*y + 1390*y - 2750 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 283.856 and 0.2?\nAnswer: 56.7712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 0 + (-3 + sqrt(1300)*-2 - ((sqrt(1300) + sqrt(1300) + 1)*-5 - sqrt(1300))))*-3)**2.\nAnswer: 947700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 0. Let i(y) = -4 + 3*y - 9 + 0*y + r. Let f be i(5). Solve 0*m + 15 = f*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 1377\nAnswer: -275.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*l + 52*l + 2*k = -40, 4*l + 4*k = 128. Put -3\/4, l, 1\/7, -2\/3, 3 in descending order.\nAnswer: l, 3, 1\/7, -2\/3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 59*n - 759. What is k(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/9 + 1844*o**2\/9 - 816*o = 0. What is o?\nAnswer: 0, 4, 918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/13, 3, -668094?\nAnswer: -668094","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/26775 + 2998774\/348075. Is 8 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1127*n - 101907 wrt n.\nAnswer: 1127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1396361 and -72.\nAnswer: -100537992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 * -80.744.\nAnswer: 2180.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.053986 times 0.75\nAnswer: -0.0404895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/10)*(u**7\/u*u)\/u*u*u**(-7)\/((u\/u**(-2\/9))\/u))**(-50\/7) assuming u is positive.\nAnswer: u**(145\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2747 - -170. What are the prime factors of x?\nAnswer: 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 1011111020221?\nAnswer: -1011111021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -2. Let n be (20\/6)\/(8\/12). Let d be (-2)\/n - 34\/u. Solve y - d = 0, 7*c = 3*c - 4*y + 20 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 + 89 - 18) + -5.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26724873397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 26*y - 29*y - 6 = 0, 4 = -4*z + 2*y. Which is the second smallest value? (a) -33.2 (b) 4 (c) 2\/5 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 12)*(66\/(-12))\/11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**2 - 1\/6*l**3 + l + 0. Let c be a(-4). Put c, -2, -4 in ascending order.\nAnswer: -4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u + 5*u + 201*u**2 + 1 - 267*u**2 as d*u + c + j*u**2 and give j.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1719 + 15*f + 568 + 8*f**2 + 1532 + 654.\nAnswer: 8*f**2 + 15*f + 4473","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -92*y**2. Let b(t) = -1421*t**2 + 2854*t**2 - 1426*t**2. Calculate b(r(h)).\nAnswer: 59248*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 702573.608 rounded to the nearest 1000?\nAnswer: 703000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, b: 3, h: 5, x: 1, j: 4, s: 5}. What is prob of sequence shj?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s + 9 + s**2 + 505\/2*s**4 + 0*s**3. Is v(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67352 is divided by 274.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/((-5850)\/(-20)))\/((-2)\/10).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.451 - 0.031. Let t = -0.6 + b. What is t rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.9148011nm?\nAnswer: 0.0000009148011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 38*o + 11. Is y(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -65312*t - 5*t**2 + 65312*t. Let a(l) = -6*l. Calculate a(h(u)).\nAnswer: 30*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.48708mm to kilometers.\nAnswer: 0.00005648708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 377\/(-1508)*180\/(-25).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (38 - (-3 - 1)) + 2. Let y = b + 0. Suppose -11459 = -y*c + 37*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 18\/5 of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 32 = -18*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, 0.2, -0.15, -0.4 in ascending order.\nAnswer: -0.4, -0.15, 0.2, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-8)*7*(-24)\/420?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/44 and -101\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18410 - -18428. Solve w = -4582*p + 4588*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -128*d + 3. Let n be c(-4). Suppose n = 3*r - 112. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f + 8. Let r be u(2). Let i = r - -6. Calculate the greatest common divisor of 20 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145791586 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8594 is divided by 3055.\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**4 - 476*u**3 + 33104*u**2 - 364672*u = 0.\nAnswer: -296, 0, 14, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 280 and 153160?\nAnswer: 153160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 21*t**2 - 2*t - 2. Suppose -4*k - 4*u = 0, -5*k - 3*u - 10 = -8*u. What is the remainder when 76 is divided by y(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/33 in 1\/41, -1, 1\/5, -2?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1 + 1)\/(-1))\/(-80 + 78). Let m be 388\/14 + (-6)\/(-21). Solve z = -n - h - 6, -9 = -4*n + h - m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 - 51.26. Let l = z - 3.34. Let r = l + 2.7. Round r to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132 (base 5) to base 16\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*14\/(-126)*3\/(-2). Determine h, given that -1\/9*h**2 + d - 2\/9*h = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 477.6037 days in seconds?\nAnswer: 41264959.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/2143 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c + 4 + c - 5. Let f(s) = 4*s + 3. Determine -2*f(n) - 7*g(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 86\/(-8) + 3\/4. Let q be ((-5)\/f)\/(2\/(-6)). Sort q, 1\/7, 2.\nAnswer: q, 1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-17 - (-5974)\/203).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1877*s + 453*s + 75179 + 118211 = 0 for s.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1171 - -3?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15210?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 543*v + v**3 - 547*v - 3*v**2 - 6*v**3. Let o be l(-4). Suppose 62 = 5*y + 4*c - o, -4*y - 2*c + 286 = 0. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffbfkkkfwii. Give prob of sequence wf.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 2\/(-4)*0. Suppose 1160 = o*g + 2*g. Is 14 a factor of 1\/(-4) + g\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -6140?\nAnswer: 6139.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10.754 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = 6*i - 526652. Let v = 12618 - i. What is v rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + h = 12, 63*p + 4*h = 62*p + 18. Let u(o) be the second derivative of 3*o**p + 4*o + 7\/6*o**4 + 0 + 0*o**3. What is the derivative of u(b) wrt b?\nAnswer: 28*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4676 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (2\/3)\/(4\/162). Suppose -3*b + 0*b = -3*g - 45, 0 = -b + 5*g + i. Calculate the least common multiple of 7 and b.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*g + 13*g - 41904. Let d be (-28)\/(-6)*g\/32. Let i = d - -4006. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 264 = -2*t, f - 89 = t - 29. What is the common denominator of 4\/(-3)*(-198)\/f and 73\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 610 and 610?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 49, 27, 5, -17, -39, -61?\n\"Answer: -22*f + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 14*z + 2. Let m be a(-14). Suppose 0 = m*s, 2*x + 1 = -2*s + 11. Suppose -x*o + 48 = -o - t, 3*o - 36 = t. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, m: 7}. Give prob of picking 2 b and 1 m.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udtuutudtudkkudrddd. Give prob of picking 1 t, 1 k, and 1 r.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 4.4.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3, 10, -3, -48, -137?\n\"Answer: -2*l**3 + 2*l**2 + 15*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**2 - 6*t**2 + 7*t**2 + 2.\nAnswer: 11*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -731*g**3*r*w + 4*g**3*r - 2*g**3 + 3*g**2*r + g**2*w + 2*g*r - 9*r - 10*w wrt g?\nAnswer: -4386*r*w + 24*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -4. Suppose -7 = -2*n - 3*s, s - 5 = -3*n + 2. Let d(g) = g**3 - 4*g**2 - 2*g + 4. Let f be d(4). Which is the nearest to f? (a) -2 (b) n (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*c - 61*c + 19*c**2)*(-1 + c + 2 - 3).\nAnswer: 19*c**3 - 38*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/9)\/(((-2)\/2)\/1)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 5:07 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a. Let w(b) be the first derivative of 5\/3*b**3 - 3 + 0*b + 0*b**2. Calculate i(w(s)).\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4745.2511 + -4750.1. Let n = -0.84895 - h. Let q = 4 - n. What is q rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13984 is divided by 700?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 768.9012 + -770.4. Let w = -3 - -4.5. Let l = w + r. What is l rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1617379*h**2 + 2300379*h.\nAnswer: -3234758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4 + 2. Suppose 2*i + 4*w = 146, 0 = x*i - i - 5*w - 108. Calculate the remainder when i is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n + 40 = -26*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 11. Suppose 2*x + 18 = 2. Let y be h(x). Let a(b) = b + 4. Give a(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.91 + 0.28. Let l = u + -0.17. Let r = l - 2.2. Sort 3, r, -3\/4 in ascending order.\nAnswer: r, -3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 2:29 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 69, -4, 96, -6, 4\/9, -254\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581525?\nAnswer: 5, 7, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 407 + -412. Let d(a) = -7*a - 4. Let h(x) = 6*x + 3. Calculate l*h(r) - 4*d(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 294666 greater than or equal to 8545308\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2\/9, 0.3, 67?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1805 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*2*-2*sqrt(68)*-6)\/(6*(6*(sqrt(196) - sqrt(196)*4) + sqrt(196))))**2.\nAnswer: 16\/833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20153230*n**2 - 10076315*n**2 - 10076921*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 150*d**2 + 36*d - 150. What are the prime factors of i(4)?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 1266727.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6921 + 1009. What are the prime factors of q?\nAnswer: 2, 5, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -4\/53, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 3*x = -8, 4 = -164*g + 165*g + 2*x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103333216 or -103333218?\nAnswer: -103333218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 12796.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a decade in months?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2400 and 150?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/(t*t**(-8)))*t**(-1\/4))\/(t**(-3))**(-3\/35) assuming t is positive.\nAnswer: t**(-1191\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - -1000011101010?\nAnswer: 1000011110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1025 - -1028. Which is the fourth smallest value? (a) 222 (b) -4 (c) s (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 843754.1 milligrams in nanograms?\nAnswer: 843754100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49296 and 5928624?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*n - 246*n = -31360. Calculate the greatest common factor of n and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 60 = -4*f, f + 1167 = 1185 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*sqrt(224)*-1*-5)\/(1*sqrt(252)*-6 - sqrt(252)).\nAnswer: 10*sqrt(2)\/21 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.558 and 0.3.\nAnswer: -0.1674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4784 and 0.254?\nAnswer: 4783.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-4 + 7 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10797 + 10800. What is the second smallest value in -13, l, 4, 3\/8, 6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19 or 336\/19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -491375889*a**3\/7 - 1017154962*a**2\/7 - 69408544*a\/7 - 1204352\/7 = 0. What is a?\nAnswer: -2, -776\/22167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 349 (b) -1\/42 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 6 + 112*h - 645*h)*(-2*h**3 + 3*h**3 - 2*h**3).\nAnswer: 533*h**4 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (12 - 5 - 6)) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 25 = 3. Let y be 6\/12 + l\/(-24). Suppose 0 = 5*x + 4*j - 17, x + 1 = -x + j. Which is the closest to x? (a) y (b) 0 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5467 + -5470.29. Which is the closest to -1? (a) 2\/13 (b) w (c) -4\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2*k - 3)*(-24 - 14 - 21) as v*k + d and give v.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o - 4*f - 30 = 32*o, -2*o + 2*f = -14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 + 1898.\nAnswer: 1886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 10:12 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 + -38530?\nAnswer: -38553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 5, 2\/7, 5250\/19, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 55384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.85 - 0.35. Let d(h) = -2*h - 3. Let f be d(-4). Suppose 5*z = 5*t - 4*t + 28, 3*t + 3*z = -30. What is the second biggest value in t, f, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 2. Let x be y(3). Suppose -k = 5*q - 5*k - 74, -x*k - 5 = 0. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -135, -13, -29, -4 in ascending order.\nAnswer: -135, -29, -13, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 321445927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 170*m - 157*m. Solve 31 = -2*r + 4*r - 5*b, 0 = m*r - b - 17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3568.\nAnswer: -3564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmdovodmodmfmovz. What is prob of sequence mf?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -158007, -315195, -472385, -629577, -786771?\n\"Answer: -g**2 - 157185*g - 821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 22190199815.\nAnswer: 22190199814.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f**2 - 14*f. Let p(y) = -11*y**2. Give o(p(a)).\nAnswer: 484*a**4 + 154*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.031 - -0.782. Let h = -0.049 - v. Let b = h - 0.92. Round b to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - (67 + -54)) + -30?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403 + 123 = 14*u. Let m = u - -208. Calculate the remainder when m is divided by 66.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6691 + -6691.58. Which is greater: -23 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, q: 4, y: 6}. Give prob of picking 2 y and 1 j.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69 by 1.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*l**4 + l + 7*l**4 - 2*l**4 + 4*l**3 - 1 + l to t + n*l**4 + o*l**3 + f*l + c*l**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3282810*b**2 - 2*b. Let t(v) = -26*v. Calculate q(t(j)).\nAnswer: -2219179560*j**2 + 52*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-333)\/(-4) - ((-5)\/(-20) - 0) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-357)\/(-42) - 8)\/(3\/(-78)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 893684.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -11000111010001000111?\nAnswer: 11000111010001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 12 = -k, k = 3*g + 2*g - 20. Suppose 2*q - 6076 = -k*q. Let h = q + 222. Round h to the nearest one hundred.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*m**2 - 126*m**3 + 74 + 127*m**3 - 74.\nAnswer: m**3 + 94*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmt when three letters picked without replacement from hdhhdtmtmhmbmm?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from lss?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2190, -2169, -2122, -2037, -1902?\nAnswer: -1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrraraalraararalr. What is prob of sequence lrr?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32226408 by -1.\nAnswer: -32226408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5699 and 72002.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106158575 to the nearest integer?\nAnswer: 10303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by -11\nAnswer: 27\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 34 - 24 = 2*p, -p = -0*p + 4*t - 33 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b + 1. Let j be g(1). Let s(i) = j*i + 3*i - 5*i. Let l(d) = -d**2. Give l(s(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2527.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -4\/11*y**2 + 132 + 2\/33*y**3 + 0*y. Factor h(v).\nAnswer: 2*v*(v - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8004, 16002, 24012, 32034?\n\"Answer: 6*h**2 + 7980*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 5*f**4 + 770*f**3 + 31145*f**2 + 115500*f + 112500 = 0.\nAnswer: -75, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -4*r + 18. Let f be (-1)\/r*15\/(-12)*-12. Sort -0.1, 1\/19, 2, f in ascending order.\nAnswer: -0.1, 1\/19, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(108)*-5 - sqrt(108)).\nAnswer: -36*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 22 = -24. Let s = -14 - m. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -651*d**4 + 9 + 11*d**2 - 445*d**4 + 1099*d**4 + 2*d**3 + 2*d in the form g*d**3 + b*d + h*d**2 + w + y*d**4 and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 - 20234*h\/9 + 13492\/3.\nAnswer: -2*(h - 2)*(h + 10119)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r. Let k(x) = 1. Let t(a) = -8*a**2 - 6. Let g(b) = k(b) - t(b). Determine h(g(m)).\nAnswer: 24*m**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 15 + (22 - 3 - 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**6\/6 + 3*f**5\/4 - 5*f**4\/12 - 5*f**3\/2 + 5*f**2 + 3*f. Determine w so that y(w) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at least as big as -134.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14091922*g*v**3 + 928*g*v**2 - 14*g - 7*v**3 + 5470*v**2 - v wrt v?\nAnswer: 84551532*g - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88923 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 w when three letters picked without replacement from {v: 2, w: 2, k: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*v = -95*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p + 7. Let r be i(3). Let v be (r + 0)*(2 - 3). Let w be (0\/(-5))\/(v\/2). Solve -2*t + 2*f + 16 = w, 0*t - 10 = 5*t + 5*f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10.2540267 and 0.3.\nAnswer: -9.9540267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (52\/(-4) - -2)*13. Let c(y) = -4*y**3 + 7*y**2 + 30*y + 9. Let h be c(-4). Let z = x + h. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*sqrt(1728)*5 + -4.\nAnswer: -4 + 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-225)\/600 - (-1343)\/2856?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 111, 4, -3\/11, 1\/3?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 58976, 118426, 177876, 237326, 296776, 356226?\n\"Answer: 59450*g - 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -209*h**2 + 6440 + 751 + 220*h**2 - 10*h**2 to the form p*h + r*h**2 + d and give d.\nAnswer: 7191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r + 4. Let k(t) = -6*t + 2. Let m(y) = 2*y - 1. Let d(j) = -4*k(j) - 11*m(j). What is 5*d(n) - 4*h(n)?\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Calculate the remainder when 12 is divided by (t\/(-4))\/((-1)\/14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-10) + (-32)\/5. Let v(q) = 211*q**3 - 2 - 70*q**3 - 6*q**2 - 67*q**3 + 1 - 75*q**3. Determine v(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -g + 7 - 10, 2*g = -d - 3. Let r be (26\/(-6) - -1)\/(d\/18). Solve 5*k - r = -l, 0*l - 16 = 3*k - 5*l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**5 - 794678*m**4 - m**2 - 101552*m wrt m.\nAnswer: 120*m**2 - 19072272*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 0 - -99) + -4194 + 4210\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -362, -363, -364, -365, -366, -367?\n\"Answer: -i - 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5422843.\nAnswer: 503, 10781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 7. Let h be t(9). Let w(n) = 14*n**2 - 2*n**2 - 8*n**h - 7*n**2. Let j(k) = 7*k**2. What is w(j(p))?\nAnswer: -147*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 7 + 7*l - l - 7.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 35655 and 1.625053179.\nAnswer: 35656.625053179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + (0 - 4) + 3. Suppose 0 = v - 0 + 10. Let p = v - -10. Put t, 1, p in decreasing order.\nAnswer: t, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, 4, -5, 1, 0 in decreasing order.\nAnswer: 4, 1, 0, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + 8 - 8)*(0*h**4 + 2*h**4 - h**4).\nAnswer: -6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gyl when three letters picked without replacement from lyglygggtooylggl?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6*(-1)\/18)\/((-1)\/(-18)). Let l(d) be the first derivative of -3\/8*d**4 + 0*d**2 - 2 + 1\/6*d**3 - 1\/12*d**i + 0*d + 3\/10*d**5. Factor l(g).\nAnswer: -g**2*(g - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63*(220\/90)\/11 + -30.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + (10 - (-12 + 14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6*f + 25 = 0. Suppose 0*w = -w + 4, f*w = -5*r + 200. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, n: 2, r: 3, x: 1, y: 1}. What is prob of sequence rn?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -5. Let h = -3713 - -3754. What is the second smallest value in j, 1\/3, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = 134 - 35. Let v be ((-40)\/q)\/(-2) + (-52)\/234. Solve -v*b + 4*b - 6 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*j**3 + 16*j**3 + 3*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 72 = g - 162, -5*g - p = -405. What is the greatest common factor of g and 640?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7*w + 2. Calculate the remainder when x(-4) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12030 is divided by 224?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**3 + 0*v - 2*v + 2*v.\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21648876.\nAnswer: 2, 3, 1804073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 5*i + 704, -5*n + 1760 = 2*i + 3*i. Let u = -267 + 311. Calculate the greatest common divisor of u and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99 + 105. Suppose c = -0*a - 4*a + 18, 3*c = 4*a + k. Solve 2*d = o + 8, -5*o - d - 13 + c = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3832.83 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -631 - -581. Which is the nearest to -1? (a) -0.1 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 558*w**2\/13 - 478*w\/13 - 80\/13 = 0. What is w?\nAnswer: -40\/279, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -81, -152, -223, -294, -365, -436?\n\"Answer: -71*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.2, -2\/11, -1\/6.\nAnswer: -2\/11, -1\/6, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 12:17 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.286, 0.1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -115\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12280, 24563, 36836, 49093, 61328?\n\"Answer: -r**3 + r**2 + 12287*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -274.\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 3. Let z be f(7). Let m be 2 + 11 - (0 - -1). Suppose 0 = z*v + m, -2*v + 5*v + 77 = 4*a. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94806 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -5. Let z be n\/((-15)\/(-6) - 2). Let y be z*(-3 + 0 - -2). What is the third smallest value in -5, 5, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in centimeters?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 196418.8ng in micrograms?\nAnswer: 196.4188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -21*z**3 + z. Let j be m(-1). Let o be j\/25*25\/1. Let b = -13 + o. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62416897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/(-2))\/((6\/(-8))\/3). Let m be 45\/(-7) + -2 + 6\/l. Let n be 0 + -3 - -3 - m\/(-28). Which is the closest to 5\/2? (a) n (b) -3\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*q - 2*q + 630, -2*q - 2*f = -268. Let u = -515\/4 + q. Determine n so that 0*n**2 - 1\/4*n**3 - u*n**4 + 0*n + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -y - 60. Let q(o) = -2*o - 8. Is q(y) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -136 + 140. Solve -2*u = -t*u - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3558140 is divided by 1808.\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1*sqrt(847)*-5 + sqrt(847))*-3*1)**2*-3.\nAnswer: 4939704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11408016 is divided by 981.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 18724217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61*m + 3 + 0 + 306*m**5 + 80*m**3 - 42*m**3 - 38*m**3 wrt m?\nAnswer: 6120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*r + 201801 + 30929 = -334999. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1 = -14. List the prime factors of (-24)\/(-20)*m\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert aa (base 15) to base 9.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1791, 1766, 1741, 1716?\nAnswer: 1691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**3\/6 - c**2 + 3*c. Let q be v(9). Is q\/(((-6)\/2)\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2865 is divided by 1412?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*o = -15, b - 2*b = 2*o + 3. Let v(h) = -h + 3. Let f be v(b). Let t = 12 - f. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - 43 - 21 - -55?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -92\/123, 26, -2, 0.3?\nAnswer: -92\/123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 29*t - 207. Let b be q(16). What is the second biggest value in b, -2, 7, -8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 3*w + 14, 0 = w + 2*w - 9. Let a be 5*((-6)\/3)\/x. What is the highest common factor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4307.292 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126959 is divided by 948.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42.2 - 42.5. Which is the biggest value? (a) 2 (b) -3 (c) j (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*x = 25*x - 56 - 139 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 26. Let u be n(-7). Let i = -15 + u. Solve i*l = -3*o + 12, -2*o - o + 2*l + 12 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 - -75.1. What is the closest to z in -2, 1\/5, 0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -6 - 10. Suppose s*i + 24 = 84. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8095 - -0.0465. Let m = -15.25 + 16. Let i = s + m. Round i to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1294193 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2552303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 224105.5cm?\nAnswer: 2241.055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 31.76. Let a = 2.98 + -3. Let w = x - a. What is w rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -400 + 397. Put 1, 2\/17, p, -4\/3 in decreasing order.\nAnswer: 1, 2\/17, -4\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2662700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y. Let k(z) = -5 + z**2 + 3*z**2 - 31*z**2. Calculate k(a(b)).\nAnswer: -108*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 73*v + 227. Calculate g(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -9 + 0 - (0 + 22)) + (17 - 8)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 - -26074147?\nAnswer: 26074054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -3. Let x be 6\/9 - 6\/z. Suppose 33*p = 24*p + 144. Solve x = 4*k - p + 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82482*r**4*z**2 + 138*r**3*z**3 - 907*r*z**2 - 620*r + 4*z**3 wrt r?\nAnswer: 989784*r**2*z**2 + 828*r*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1803 - -1881 - (95 - 4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50817 and 3081.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from kkhkkkh?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1110 and -47\/138426?\nAnswer: 25608810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -4. Let x = -1 - v. Suppose c + x*c - 15 = 0. Solve -5*g + 3 = -4*r + 15, -c*r = g - 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92 + -79. What is the remainder when -2 - (-39 + 1 + -2) is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1724570?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, a: 3, v: 2, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7*g + 224 = 0. Let z be (3 - 9)\/(6\/g*-2). Which is bigger: z or -83\/3?\nAnswer: -83\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwhujuujyjwuuh. Give prob of picking 2 u, 1 h, and 1 y.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 3936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.73 - -0.57. Let z = f + -4. Let u = -0.3 + z. Which is the nearest to 0.3? (a) 0.1 (b) u (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0519 and -0.1.\nAnswer: -0.00519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -770661 - -1184102. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -44111014?\nAnswer: -44111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-8))\/1*(-8)\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1863454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -4. Calculate the remainder when w is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*k + 61*k + 33 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -13*r + 149. What is the remainder when 508 is divided by s(9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 21. Let z be 8 - (w\/(-3) + -1). Find the third derivative of 7*g**6 + 5*g**2 + 0*g**z - 5*g**6 wrt g.\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 549a (base 11) to base 14.\nAnswer: 28da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/258 and -56\/33.\nAnswer: 2838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.41 + 0.72. Let v = 88.69 + s. Let k = 91.9 - v. Round k to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/(105\/(-138)))\/(1\/(-5)). Let j = f - -46. Are -1\/46 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-4) + 13\/4. Suppose 4*y - 3 = c*y. Let m(o) = -o**3 + 3*o**2 + o - 2. What is m(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 7*u**2 - 22*u - 5. Calculate the remainder when k(-9) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*u + 340 = -4*c, -5*u + 6*u = 5*c - 15029 + 14995 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*b - b**4 - 8*b**4 + b**4 wrt b?\nAnswer: -96*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/869106791?\nAnswer: -2\/869106791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 29*v + 3. Let a(d) = 56*d + 5. Let w(q) = 3*a(q) - 5*u(q). Let h(n) = -2*n. Calculate h(w(g)).\nAnswer: -46*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/8 and (-80)\/(-768)*(-9)\/4.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -406*s**4 + 310*s**3 + 146878410?\nAnswer: -1624*s**3 + 930*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(189))\/(sqrt(7) + sqrt(175) + (-2*sqrt(175) - sqrt(175))) - 6*(4 + 1*sqrt(12))) + -3.\nAnswer: -27 - 34*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqc when three letters picked without replacement from {j: 2, f: 1, i: 3, c: 9, y: 1, q: 2}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23784581.\nAnswer: 17, 439, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*k - 4672 + 1275 - 8515 = 4018 for k.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 4*m**2 + m + 5. Let d be l(-4). Let x = 11\/14 + -2\/7. Which is the nearest to d? (a) x (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*2*3)\/(sqrt(54)\/sqrt(81)).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2636 - -2642)*8\/(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15298686.\nAnswer: 2, 3, 13, 19, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*s + 134 = 3*i, 0 = 2*i + 5*s - 74. What is the least common multiple of 57 and i?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 12, w: 3}. What is prob of sequence wwwf?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*u + 16. Suppose -6*s + 60 = -u*s. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 185, -5543\/3 in ascending order.\nAnswer: -5543\/3, 1\/2, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m = -16. Let y be -1 - (m - -2) - -2. Let k = -138 - -143. Solve -k*j - 1 + 11 = 4*z, 3*j = y*z + 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 9. Let i be 5 + m + 1 + 9. Solve 7 = -3*a + 2*f, 5*a - 4*f - 3 + i = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.37, 0.08, -8488 in decreasing order.\nAnswer: 0.08, -1.37, -8488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3720*l - 148745. Give r(-40).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*g**2 + 0*g + 0*g - 6*g**2 - 3 in the form s*g**2 + f*g + x and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u*y**4 - 113*u*y**3 - 200*u - 534*y**3 - y**2 - 17 wrt y.\nAnswer: -48*u*y - 678*u - 3204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (59 - 21) + 158 + -213\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -8221*w - 38. Let f(r) = -2738*r - 14. Calculate 11*f(j) - 4*m(j).\nAnswer: 2766*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 188579 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-121)\/22*8\/(-4 + 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1141 is divided by 58?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -8. Suppose -1 = p - d. Factor 12*t + 9*t**2 + 7*t**3 - 4*t**p - 6*t.\nAnswer: 3*t*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6009 + -0.629335.\nAnswer: -6009.629335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20726793 and 261?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 117\nAnswer: -5\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134494 is divided by 16644.\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/204)\/(13*260\/13520).\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/((-468)\/14040)*1\/1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y + 19. Let n be t(4). Let b be (-1268)\/n + ((-6)\/(-3) - 3). Suppose b = -7*v + 14*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 24315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1440.901 nanograms?\nAnswer: 0.000000000001440901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*m + 5*r, 0 = 2*m - r - 1 + 16. Let z = m + 9. Let v(u) = -3*u - 17. Let l be v(-7). Solve -b + l + 1 = z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5*-1*sqrt(704)*-5 - ((-2 + sqrt(275) - sqrt(275)) + 0 - sqrt(275) - (sqrt(275) + sqrt(275) + 2)*-5)))**2.\nAnswer: 6370*sqrt(11) + 660444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4627171?\nAnswer: 139, 33289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 6280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19929*n - 34418*n + 14494*n + 0 + 0.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -11*i - 232. Let z be v(-24). Let r be ((-24)\/9)\/(z\/(-12)). Let c = -2 - -2. Sort -4, c, r in descending order.\nAnswer: r, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j - 18*q = 7*j + 14*j - 70, 4*q - 23 + 7 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 + 119. Suppose 0 = -5*s - 68 - 47. Let w = -11 - s. Calculate the remainder when m is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -290*s**2 + 1157*s - 4210*s - 1152*s - s**3 - 4*s**3 = 0?\nAnswer: -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(25\/(-125)*-40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 276 (base 11) to base 10\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 474830404?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9.66 times 39580\nAnswer: -382342.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99060 or 95948?\nAnswer: 95948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39084 and 8924180.\nAnswer: 26772540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 2 + 3)*(2 + 1 - 4)*(15*x - 11*x + 19*x - 2)*(1 + 3 - 2 + (0 + 1 - 2)*(1 - 2 + 2)).\nAnswer: 138*x - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43019 - -63163. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573956033 divided by 5682733?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 68*h + 11. Let g(o) = -23*o - 4. Let j(r) = 6*c(r) + 17*g(r). Let y be j(3). Let f be (-1)\/((-6)\/10)*(14688\/(-160))\/(-3). Which is smaller: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7458 and 2.49?\nAnswer: 7455.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2 + 4*n - 7. Let l(v) = -2*v**2 + 5*v - 8. What is 4*b(y) - 3*l(y)?\nAnswer: -2*y**2 + y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.008, 0.13, -4, -0.3 in ascending order.\nAnswer: -4, -0.3, -0.008, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 46430*i + 928587. What is u(-20)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 15*n**2 - 10*n + 3. Is d(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -56, -60, -64, -68?\n\"Answer: -4*v - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 4, -332417 in ascending order.\nAnswer: -332417, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 15 = -5*b, -s + 2*b - 7 = 3*b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -371\/8 + 37. Let g = 2\/8983 - 467134\/80847. Calculate the common denominator of g and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353722 is divided by 2390?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 6. Let c(d) = d**2 - 9*d + 8. Let v be c(7). Let r be k(v). Suppose r = -2*n - 3*n, -t - n + 4 = 0. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 174, 4, 3, -1, 0, -4 in descending order.\nAnswer: 174, 4, 3, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*h = 5, 4*z + h - 2*h = -45. Let m = z + 16. Let c = 14 + -10. Solve 5*p = -15, m = t - 3*t - c*p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12904793 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8 = d - 2, 4*v = -d + 9. Let i = -1 - -37. Calculate the remainder when i is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 0*o = -2*y - 20, -4*y = 2*o + 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73322.67 millimeters to centimeters.\nAnswer: 7332.267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7508.74 rounded to the nearest 100?\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}